In [1]:
from gensim.models import word2vec
In [2]:
import logging
In [3]:
logging.basicConfig(format='%(asctime)s : %(levelname)s : %(message)s', level=logging.INFO)
In [4]:
sentences = [['first', 'sentence'],['second', 'sentence']]
sentences
Out[4]:
[['first', 'sentence'], ['second', 'sentence']]
In [5]:
model = word2vec.Word2Vec(sentences, min_count=1)
In [6]:
import nltk
In [7]:
from nltk.corpus import gutenberg
gutenberg.fileids()
Out[7]:
[u'austen-emma.txt',
u'austen-persuasion.txt',
u'austen-sense.txt',
u'bible-kjv.txt',
u'blake-poems.txt',
u'bryant-stories.txt',
u'burgess-busterbrown.txt',
u'carroll-alice.txt',
u'chesterton-ball.txt',
u'chesterton-brown.txt',
u'chesterton-thursday.txt',
u'edgeworth-parents.txt',
u'melville-moby_dick.txt',
u'milton-paradise.txt',
u'shakespeare-caesar.txt',
u'shakespeare-hamlet.txt',
u'shakespeare-macbeth.txt',
u'whitman-leaves.txt']
In [9]:
moby_sents = gutenberg.sents('melville-moby_dick.txt')
moby_sents
Out[9]:
[[u'[', u'Moby', u'Dick', u'by', u'Herman', u'Melville', u'1851', u']'], [u'ETYMOLOGY', u'.'], ...]
In [10]:
model2 = word2vec.Word2Vec(sentences, min_count=4)
---------------------------------------------------------------------------
RuntimeError Traceback (most recent call last)
<ipython-input-10-b176d99f5042> in <module>()
----> 1 model2 = word2vec.Word2Vec(sentences, min_count=4)
/Users/Shared/anaconda/lib/python2.7/site-packages/gensim/models/word2vec.pyc in __init__(self, sentences, size, alpha, window, min_count, sample, seed, workers, min_alpha, sg, hs, negative, cbow_mean, hashfxn, iter)
312 self.build_vocab(sentences)
313 sentences = utils.RepeatCorpusNTimes(sentences, iter)
--> 314 self.train(sentences)
315
316 def make_table(self, table_size=100000000, power=0.75):
/Users/Shared/anaconda/lib/python2.7/site-packages/gensim/models/word2vec.pyc in train(self, sentences, total_words, word_count, chunksize)
460
461 if not self.vocab:
--> 462 raise RuntimeError("you must first build vocabulary before training the model")
463
464 start, next_report = time.time(), [1.0]
RuntimeError: you must first build vocabulary before training the model
In [12]:
len(moby_sents)
Out[12]:
10059
In [13]:
moby_sents[0]
Out[13]:
[u'[', u'Moby', u'Dick', u'by', u'Herman', u'Melville', u'1851', u']']
In [14]:
moby_sents[1]
Out[14]:
[u'ETYMOLOGY', u'.']
In [15]:
from gensim import corpora
In [16]:
dictionary = corpora.Dictionary(moby_sents)
In [17]:
print(dictionary)
Dictionary(19311 unique tokens: [u'funereal', u'unscientific', u'divinely', u'foul', u'four']...)
In [18]:
corpus = [dictionary.doc2bow(text) for text in moby_sents]
In [19]:
model2 = word2vec.Word2Vec(corpus, size=200)
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-19-352d570996b9> in <module>()
----> 1 model2 = word2vec.Word2Vec(corpus, size=200)
/Users/Shared/anaconda/lib/python2.7/site-packages/gensim/models/word2vec.pyc in __init__(self, sentences, size, alpha, window, min_count, sample, seed, workers, min_alpha, sg, hs, negative, cbow_mean, hashfxn, iter)
310 self.iter = iter
311 if sentences is not None:
--> 312 self.build_vocab(sentences)
313 sentences = utils.RepeatCorpusNTimes(sentences, iter)
314 self.train(sentences)
/Users/Shared/anaconda/lib/python2.7/site-packages/gensim/models/word2vec.pyc in build_vocab(self, sentences)
412 # precalculate downsampling thresholds
413 self.precalc_sampling()
--> 414 self.reset_weights()
415
416 @staticmethod
/Users/Shared/anaconda/lib/python2.7/site-packages/gensim/models/word2vec.pyc in reset_weights(self)
519 # construct deterministic seed from word AND seed argument
520 # Note: Python's built in hash function can vary across versions of Python
--> 521 random.seed(uint32(self.hashfxn(self.index2word[i] + str(self.seed))))
522 self.syn0[i] = (random.rand(self.layer1_size) - 0.5) / self.layer1_size
523 if self.hs:
TypeError: can only concatenate tuple (not "str") to tuple
In [20]:
import gensim
In [21]:
print(corpus)
[[(0, 1), (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (6, 1), (7, 1)], [(8, 1), (9, 1)], [(7, 1), (10, 1), (11, 1), (12, 1), (13, 1), (14, 1), (15, 1), (16, 1), (17, 1), (18, 2), (19, 1)], [(8, 1), (17, 1), (20, 3), (21, 1), (22, 1), (23, 1), (24, 1), (25, 1), (26, 1), (27, 1), (28, 1), (29, 1), (30, 1), (31, 1), (32, 1), (33, 1), (34, 1), (35, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (36, 1), (37, 2), (38, 1), (39, 1), (40, 1), (41, 1), (42, 1), (43, 1), (44, 1), (45, 1), (46, 1), (47, 1), (48, 1), (49, 1), (50, 2), (51, 1), (52, 1), (53, 3), (54, 1), (55, 2), (56, 1)], [(8, 1), (19, 1), (22, 1), (30, 1), (36, 1), (43, 1), (45, 2), (50, 1), (51, 1), (57, 1), (58, 1), (59, 1), (60, 1), (61, 1), (62, 1), (63, 1)], [(7, 1), (18, 1), (19, 3), (20, 5), (25, 1), (31, 2), (50, 1), (53, 3), (64, 1), (65, 1), (66, 1), (67, 1), (68, 1), (69, 1), (70, 1), (71, 1), (72, 1), (73, 1), (74, 1), (75, 1), (76, 1), (77, 2), (78, 1), (79, 1), (80, 1), (81, 1), (82, 1), (83, 1), (84, 1), (85, 1), (86, 1), (87, 1), (88, 1), (89, 1), (90, 1), (91, 1), (92, 1), (93, 1), (94, 1), (95, 1), (96, 1), (97, 2), (98, 1), (99, 2)], [(21, 1), (100, 1)], [(8, 1), (64, 1), (101, 1)], [(8, 2), (25, 1), (102, 1), (103, 1), (104, 1)], [(8, 1), (105, 1)], [(8, 1), (22, 1), (31, 1), (77, 1), (103, 1), (106, 1), (107, 1), (108, 1), (109, 1), (110, 1), (111, 1), (112, 1), (113, 1)], [(66, 1), (77, 1), (111, 1), (114, 1), (115, 1), (116, 1)], [(21, 1), (117, 1), (118, 1), (119, 1), (120, 1)], [(8, 1), (64, 1), (101, 1)], [(102, 1)], [(8, 1), (53, 1), (77, 1), (109, 1), (121, 1), (122, 1), (123, 1), (124, 1)], [(8, 1), (25, 1), (125, 1)], [(8, 2), (19, 2), (20, 2), (22, 1), (65, 1), (66, 1), (119, 1), (126, 1), (127, 1), (128, 1), (129, 1), (130, 1), (131, 1)], [(21, 1), (117, 1), (118, 1), (119, 1), (132, 1)], [(8, 1), (20, 1), (133, 1), (134, 1)], [(8, 1), (20, 1), (135, 1), (136, 1)], [(8, 1), (20, 1), (65, 1), (137, 1), (138, 1), (139, 1)], [(8, 1), (20, 1), (114, 1), (140, 1)], [(8, 1), (20, 1), (141, 1), (142, 1)], [(8, 1), (20, 1), (143, 1), (144, 1)], [(8, 1), (20, 1), (101, 1), (145, 1)], [(8, 1), (20, 1), (101, 1), (146, 1)], [(8, 1), (20, 1), (147, 1), (148, 1)], [(8, 1), (20, 1), (149, 1), (150, 1)], [(8, 1), (20, 1), (65, 2), (151, 1), (152, 2), (153, 1)], [(8, 1), (20, 1), (65, 2), (152, 2), (153, 1), (154, 1)], [(7, 1), (10, 1), (16, 1), (18, 1), (65, 2), (155, 1), (156, 1), (157, 1), (158, 2)], [(8, 1), (18, 2), (19, 2), (20, 2), (25, 2), (31, 1), (50, 3), (53, 2), (65, 3), (71, 1), (90, 1), (92, 1), (111, 1), (122, 1), (158, 2), (159, 1), (160, 1), (161, 1), (162, 1), (163, 1), (164, 1), (165, 1), (166, 1), (167, 1), (168, 1), (169, 1), (170, 1), (171, 1), (172, 1), (173, 1), (174, 1), (175, 1), (176, 1), (177, 1), (178, 1), (179, 1), (180, 1), (181, 1), (182, 1), (183, 1), (184, 1), (185, 1), (186, 1), (187, 1), (188, 1), (189, 1), (190, 1), (191, 1)], [(8, 1), (20, 5), (31, 2), (53, 1), (65, 1), (82, 1), (88, 1), (95, 1), (99, 1), (108, 1), (192, 1), (193, 1), (194, 1), (195, 1), (196, 1), (197, 1), (198, 1), (199, 1), (200, 1), (201, 1), (202, 1), (203, 1), (204, 1), (205, 1), (206, 1), (207, 1)], [(8, 1), (58, 1), (109, 1), (208, 1)], [(7, 1), (8, 1), (18, 1), (20, 8), (25, 2), (49, 1), (50, 2), (53, 2), (84, 1), (96, 1), (111, 1), (117, 1), (198, 1), (206, 1), (209, 1), (210, 1), (211, 1), (212, 1), (213, 1), (214, 1), (215, 3), (216, 1), (217, 1), (218, 1), (219, 1), (220, 1), (221, 1), (222, 1), (223, 1), (224, 1), (225, 1), (226, 1), (227, 1), (228, 1), (229, 1), (230, 1), (231, 1), (232, 1), (233, 1), (234, 1), (235, 1), (236, 1), (237, 1), (238, 1), (239, 1), (240, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (50, 1), (65, 1), (158, 2), (167, 1), (178, 1), (240, 1), (241, 1), (242, 1), (243, 1), (244, 1), (245, 1), (246, 1)], [(19, 3), (20, 6), (21, 1), (22, 4), (25, 6), (31, 1), (40, 1), (50, 1), (55, 2), (56, 1), (58, 1), (65, 3), (71, 1), (82, 1), (90, 1), (91, 1), (97, 1), (108, 1), (158, 1), (178, 1), (185, 1), (186, 1), (190, 1), (247, 1), (248, 1), (249, 1), (250, 1), (251, 1), (252, 1), (253, 1), (254, 1), (255, 1), (256, 1), (257, 1), (258, 1), (259, 1), (260, 1), (261, 1), (262, 1), (263, 1), (264, 1), (265, 1), (266, 1), (267, 1), (268, 1), (269, 1), (270, 1), (271, 1), (272, 1), (273, 1), (274, 1), (275, 1), (276, 1), (277, 1), (278, 2), (279, 1), (280, 1), (281, 1), (282, 1), (283, 2), (284, 1), (285, 1)], [(7, 2), (19, 1), (20, 1), (40, 1), (53, 3), (56, 1), (88, 1), (108, 1), (124, 2), (247, 1), (286, 1), (287, 1), (288, 1), (289, 2), (290, 1), (291, 1), (292, 1), (293, 1), (294, 1), (295, 2)], [(23, 1), (25, 1), (53, 1), (85, 1), (90, 1), (108, 1), (166, 1), (247, 1), (295, 1), (296, 1), (297, 1), (298, 1), (299, 1), (300, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 3), (50, 1), (53, 2), (55, 1), (65, 3), (85, 1), (108, 1), (170, 1), (172, 1), (174, 1), (214, 1), (277, 1), (301, 1), (302, 1), (303, 1), (304, 1), (305, 1), (306, 1), (307, 1), (308, 1), (309, 1), (310, 1), (311, 1), (312, 1), (313, 1), (314, 1), (315, 1), (316, 1), (317, 1), (318, 1), (319, 1), (320, 1), (321, 1), (322, 1), (323, 1), (324, 4)], [(20, 1), (21, 1), (247, 1), (256, 1), (264, 1), (292, 1), (295, 2), (313, 1), (325, 1), (326, 1), (327, 2), (328, 1), (329, 1), (330, 1)], [(8, 1), (156, 1)], [(64, 1), (66, 1), (187, 1), (331, 1), (332, 1), (333, 1), (334, 1)], [(8, 1), (21, 1), (335, 1)], [(18, 1), (19, 2), (22, 1), (30, 1), (53, 1), (64, 1), (66, 1), (71, 1), (80, 1), (210, 1), (285, 1), (336, 1), (337, 1), (338, 1), (339, 1), (340, 1), (341, 1), (342, 1)], [(8, 1), (21, 1), (343, 1)], [(18, 1), (19, 1), (53, 1), (64, 1), (66, 1), (74, 1), (186, 1), (334, 1), (344, 1), (345, 1), (346, 1), (347, 1), (348, 1), (349, 1)], [(8, 1), (21, 1), (350, 1)], [(19, 1), (22, 1), (53, 1), (64, 1), (66, 1), (77, 1), (90, 1), (210, 1), (283, 1), (287, 1), (328, 1), (351, 1), (352, 1), (353, 1), (354, 1), (355, 1), (356, 1), (357, 1)], [(8, 1), (21, 1), (358, 1)], [(20, 5), (22, 1), (25, 3), (31, 1), (45, 1), (53, 4), (55, 1), (64, 1), (66, 1), (77, 1), (90, 3), (173, 1), (210, 2), (260, 1), (276, 1), (292, 2), (334, 1), (345, 1), (359, 1), (360, 1), (361, 1), (362, 1), (363, 1), (364, 1), (365, 1), (366, 2), (367, 1), (368, 1), (369, 1)], [(21, 1), (370, 1)], [(20, 5), (25, 1), (31, 1), (37, 1), (45, 2), (50, 3), (53, 2), (58, 2), (64, 1), (66, 1), (71, 1), (90, 1), (96, 1), (111, 1), (117, 1), (185, 1), (232, 1), (310, 1), (331, 1), (334, 1), (349, 1), (371, 1), (372, 1), (373, 1), (374, 1), (375, 1), (376, 1), (377, 1), (378, 1), (379, 1), (380, 1), (381, 1), (382, 1), (383, 1), (384, 1), (385, 1), (386, 1), (387, 1), (388, 1)], [(8, 1), (21, 1), (117, 2), (119, 2), (389, 1), (390, 1), (391, 1)], [(20, 1), (24, 1), (25, 2), (31, 1), (50, 1), (53, 3), (64, 1), (66, 1), (72, 1), (88, 1), (90, 1), (97, 1), (111, 1), (186, 1), (214, 1), (215, 2), (289, 1), (392, 1), (393, 1), (394, 1), (395, 1), (396, 1), (397, 1), (398, 1), (399, 1), (400, 1), (401, 1), (402, 1), (403, 1), (404, 1), (405, 1), (406, 1), (407, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (389, 1), (408, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (53, 2), (64, 1), (228, 1), (334, 1), (347, 1), (365, 2), (396, 1), (409, 1), (410, 1), (411, 1), (412, 1), (413, 1), (414, 1), (415, 1), (416, 1), (417, 1), (418, 1), (419, 1), (420, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 1), (54, 1), (269, 1), (407, 1), (421, 1), (422, 1), (423, 1), (424, 1)], [(102, 1)], [(18, 1), (20, 3), (25, 1), (30, 1), (37, 1), (53, 2), (65, 1), (66, 1), (106, 1), (307, 1), (365, 1), (414, 1), (425, 1), (426, 1), (427, 1), (428, 1), (429, 1), (430, 1), (431, 1), (432, 1), (433, 1), (434, 1), (435, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (436, 1), (437, 1)], [(64, 1), (66, 1), (438, 1), (439, 1), (440, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (36, 1), (50, 3), (53, 1), (55, 1), (64, 1), (65, 1), (97, 2), (108, 1), (173, 1), (185, 1), (187, 1), (239, 1), (334, 1), (347, 1), (441, 1), (442, 1), (443, 1), (444, 1), (445, 1), (446, 1), (447, 1), (448, 1), (449, 1), (450, 1), (451, 1), (452, 1), (453, 1)], [(102, 1)], [(8, 1), (20, 2), (24, 1), (31, 1), (45, 1), (50, 1), (65, 1), (97, 1), (174, 1), (187, 1), (229, 1), (445, 1), (448, 2), (454, 1), (455, 1), (456, 1), (457, 1), (458, 1), (459, 2), (460, 1)], [(31, 1), (36, 1), (50, 1), (54, 1), (66, 1), (90, 1), (173, 1), (233, 1), (269, 1), (323, 1), (347, 1), (412, 1), (418, 1), (461, 1), (462, 1), (463, 1)], [(8, 3), (20, 1), (21, 1), (117, 1), (119, 1), (126, 1), (464, 1), (465, 1), (466, 1), (467, 1), (468, 1), (469, 1), (470, 1), (471, 1), (472, 1), (473, 1), (474, 1), (475, 1), (476, 1), (477, 1), (478, 1)], [(10, 1), (11, 1), (20, 5), (25, 2), (31, 1), (37, 1), (50, 1), (53, 3), (58, 1), (64, 1), (65, 1), (66, 1), (90, 1), (95, 1), (111, 1), (117, 2), (123, 1), (185, 1), (186, 1), (214, 1), (232, 2), (328, 1), (331, 1), (334, 1), (365, 1), (371, 1), (379, 1), (381, 1), (382, 1), (415, 1), (428, 2), (479, 1), (480, 1), (481, 1), (482, 1), (483, 1), (484, 1), (485, 1), (486, 1), (487, 1), (488, 1), (489, 1), (490, 1)], [(8, 1), (21, 1), (491, 1)], [(8, 1), (21, 1), (492, 1), (493, 1), (494, 1), (495, 1)], [(20, 1), (64, 1), (247, 1), (434, 2), (496, 1), (497, 2), (498, 1)], [(7, 1), (31, 1), (50, 1), (53, 2), (66, 1), (77, 1), (82, 1), (88, 1), (210, 1), (499, 1), (500, 1), (501, 1), (502, 1), (503, 1), (504, 1), (505, 1), (506, 1), (507, 1), (508, 1), (509, 1)], [(8, 1), (21, 1), (510, 1)], [(54, 1), (64, 1), (66, 1), (95, 1), (106, 1), (117, 1), (232, 1), (418, 1), (511, 1), (512, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (513, 1), (514, 1)], [(19, 1), (24, 1), (53, 1), (64, 1), (66, 1), (80, 1), (90, 1), (210, 1), (334, 1), (515, 1), (516, 1), (517, 1), (518, 1), (519, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (358, 1), (439, 1), (520, 1), (521, 1), (522, 1), (523, 1)], [(8, 1), (50, 1), (53, 1), (64, 1), (90, 1), (95, 1), (111, 1), (172, 1), (419, 1), (423, 1), (524, 1), (525, 1), (526, 1), (527, 1), (528, 1), (529, 1)], [(20, 1), (50, 2), (66, 1), (71, 1), (85, 1), (90, 1), (95, 1), (190, 1), (265, 1), (269, 1), (530, 1), (531, 1), (532, 1), (533, 1), (534, 1), (535, 1), (536, 1), (537, 1), (538, 1)], [(8, 1), (21, 1), (539, 1)], [(64, 1), (66, 1), (438, 1), (522, 1), (540, 1), (541, 1), (542, 1)], [(24, 1), (64, 1), (66, 1), (77, 1), (108, 1), (168, 1), (387, 1), (414, 1), (531, 1), (543, 1), (544, 1), (545, 1), (546, 1)], [(8, 1), (21, 1), (471, 1), (547, 1)], [(18, 1), (64, 1), (66, 1), (95, 1), (516, 1), (548, 1)], [(8, 1), (21, 1), (549, 1)], [(19, 3), (20, 6), (30, 1), (45, 3), (50, 1), (53, 2), (55, 1), (64, 1), (66, 1), (90, 1), (95, 1), (117, 3), (215, 1), (232, 2), (256, 1), (268, 1), (347, 1), (550, 1), (551, 1), (552, 1), (553, 1), (554, 1), (555, 1), (556, 1), (557, 1), (558, 1), (559, 1), (560, 1), (561, 1), (562, 1), (563, 1), (564, 1), (565, 1), (566, 1), (567, 1), (568, 1), (569, 1), (570, 1), (571, 1), (572, 1), (573, 1), (574, 1)], [(8, 1), (21, 1), (439, 1), (575, 1), (576, 1)], [(18, 1), (20, 1), (31, 1), (50, 1), (53, 2), (58, 1), (64, 1), (66, 1), (187, 1), (215, 1), (246, 1), (577, 1), (578, 1), (579, 1), (580, 1), (581, 1), (582, 1), (583, 1), (584, 1), (585, 1), (586, 1), (587, 1)], [(8, 1), (21, 1), (588, 1), (589, 1), (590, 1)], [(8, 1), (591, 1), (592, 1), (593, 1)], [(20, 4), (31, 1), (45, 1), (50, 1), (53, 1), (64, 1), (66, 1), (77, 1), (274, 1), (594, 1), (595, 1), (596, 1), (597, 1), (598, 1), (599, 1), (600, 1), (601, 1), (602, 1), (603, 1), (604, 1), (605, 1), (606, 1), (607, 1), (608, 1), (609, 1)], [(8, 2), (21, 1), (589, 1), (610, 1), (611, 1)], [(8, 1), (101, 1), (439, 1), (522, 1), (540, 1), (612, 2), (613, 2)], [(8, 2), (470, 1), (614, 1), (615, 1), (616, 1)], [(8, 1), (36, 1), (45, 2), (55, 2), (64, 1), (117, 1), (232, 1), (551, 1), (617, 1), (618, 1), (619, 1), (620, 1), (621, 1), (622, 1), (623, 1), (624, 1)], [(18, 1), (20, 1), (31, 1), (45, 2), (50, 1), (66, 1), (102, 1), (117, 1), (163, 1), (173, 1), (331, 1), (414, 1), (625, 1), (626, 1), (627, 1), (628, 1), (629, 1), (630, 1), (631, 1), (632, 1), (633, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (439, 1), (522, 1), (634, 1), (635, 1), (636, 1), (637, 1)], [(11, 1), (18, 1), (20, 2), (31, 1), (64, 1), (66, 1), (72, 1), (77, 2), (90, 1), (97, 1), (111, 1), (210, 1), (256, 1), (333, 1), (334, 1), (531, 1), (556, 1), (638, 1), (639, 1), (640, 1), (641, 1), (642, 1), (643, 1), (644, 1), (645, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (522, 1), (646, 1), (647, 1), (648, 1), (649, 1)], [(18, 2), (20, 1), (31, 1), (50, 1), (53, 1), (58, 2), (64, 1), (66, 1), (95, 1), (215, 1), (217, 1), (347, 1), (382, 1), (486, 1), (504, 1), (650, 1), (651, 1), (652, 1), (653, 1), (654, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (655, 1), (656, 1)], [(20, 1), (37, 1), (45, 1), (50, 1), (53, 1), (64, 1), (66, 1), (90, 1), (97, 1), (210, 1), (332, 1), (365, 1), (371, 1), (583, 1), (657, 1), (658, 1), (659, 1), (660, 1), (661, 1), (662, 1)], [(8, 1), (21, 1), (663, 1), (664, 1)], [(18, 3), (20, 4), (22, 1), (25, 2), (31, 2), (45, 2), (50, 1), (53, 1), (66, 1), (85, 1), (111, 1), (193, 2), (210, 1), (331, 1), (338, 1), (351, 1), (365, 1), (405, 1), (485, 1), (516, 1), (665, 1), (666, 1), (667, 1), (668, 1), (669, 1), (670, 1), (671, 1), (672, 1), (673, 1), (674, 1), (675, 1), (676, 1), (677, 1)], [(8, 1), (21, 1), (539, 1)], [(18, 2), (20, 1), (24, 1), (25, 1), (31, 2), (50, 2), (64, 1), (66, 1), (91, 1), (97, 1), (172, 1), (187, 1), (365, 2), (537, 1), (661, 1), (678, 1), (679, 1), (680, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (540, 1), (681, 1), (682, 1), (683, 1), (684, 1)], [(19, 1), (20, 3), (24, 1), (31, 1), (53, 2), (64, 1), (66, 1), (92, 1), (210, 1), (241, 1), (256, 1), (268, 1), (331, 1), (349, 1), (448, 1), (450, 2), (554, 1), (674, 1), (685, 1), (686, 1), (687, 1), (688, 1), (689, 1), (690, 1), (691, 1), (692, 1), (693, 1), (694, 1), (695, 1), (696, 1), (697, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (698, 1), (699, 1), (700, 1)], [(18, 1), (20, 2), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 4), (55, 1), (58, 3), (64, 1), (66, 1), (68, 1), (71, 1), (77, 1), (95, 1), (111, 1), (190, 2), (193, 1), (215, 2), (256, 1), (373, 1), (569, 1), (680, 1), (701, 1), (702, 1), (703, 1), (704, 1), (705, 1), (706, 1), (707, 1), (708, 1), (709, 1), (710, 1), (711, 1), (712, 1), (713, 1), (714, 1)], [(8, 1), (20, 1), (21, 1), (117, 1), (119, 1), (593, 1), (715, 1), (716, 1), (717, 1), (718, 1), (719, 1), (720, 1), (721, 1)], [(20, 2), (25, 2), (31, 2), (53, 2), (64, 1), (66, 1), (92, 1), (97, 1), (186, 1), (187, 1), (225, 1), (228, 1), (359, 1), (414, 1), (450, 3), (583, 1), (680, 1), (697, 1), (711, 1), (722, 1), (723, 1), (724, 1), (725, 1), (726, 1), (727, 1), (728, 1), (729, 1), (730, 1)], [(8, 2), (21, 1), (117, 1), (119, 1), (540, 1), (589, 1), (611, 1), (721, 1), (731, 1), (732, 1), (733, 1), (734, 1)], [(8, 1), (735, 1), (736, 1)], [(18, 1), (19, 1), (20, 1), (50, 2), (55, 1), (64, 1), (66, 1), (90, 1), (91, 1), (108, 1), (187, 1), (281, 1), (325, 1), (334, 1), (450, 1), (459, 1), (692, 1), (709, 1), (711, 3), (726, 1), (737, 1), (738, 1), (739, 1), (740, 1), (741, 1), (742, 1), (743, 1), (744, 1), (745, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (746, 1), (747, 1), (748, 1)], [(8, 2), (20, 1), (53, 1), (64, 1), (109, 1), (614, 1), (749, 1), (750, 1), (751, 1), (752, 1), (753, 1), (754, 1)], [(8, 1), (24, 1), (31, 2), (53, 2), (65, 3), (72, 1), (709, 1), (755, 1), (756, 1)], [(102, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (53, 1), (77, 1), (90, 1), (95, 1), (117, 1), (256, 1), (273, 1), (382, 1), (430, 1), (581, 1), (757, 1), (758, 1), (759, 1)], [(102, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (34, 2), (45, 1), (53, 2), (95, 1), (108, 2), (186, 1), (225, 1), (290, 1), (490, 1), (530, 1), (581, 1), (711, 1), (760, 1), (761, 1), (762, 1), (763, 1), (764, 1), (765, 1)], [(102, 1)], [(8, 1), (18, 2), (20, 1), (23, 1), (31, 1), (45, 1), (50, 2), (54, 1), (90, 1), (95, 1), (347, 1), (707, 1), (766, 1), (767, 1), (768, 1), (769, 1), (770, 1), (771, 1), (772, 1)], [(18, 1), (31, 1), (37, 1), (50, 1), (54, 1), (66, 1), (84, 1), (90, 2), (95, 1), (102, 1), (173, 1), (336, 1), (506, 1), (772, 1), (773, 1), (774, 1), (775, 1), (776, 1), (777, 1), (778, 1)], [(8, 3), (20, 1), (21, 1), (126, 2), (467, 1), (593, 1), (735, 1), (736, 1), (779, 1), (780, 1), (781, 1)], [(8, 1), (10, 2), (11, 1), (18, 1), (20, 3), (23, 1), (31, 3), (50, 3), (53, 1), (54, 1), (64, 1), (65, 1), (95, 1), (97, 1), (172, 1), (185, 1), (187, 1), (215, 1), (269, 1), (281, 1), (372, 1), (406, 1), (426, 1), (537, 1), (538, 1), (587, 1), (702, 1), (704, 1), (782, 1), (783, 1), (784, 1), (785, 1), (786, 1), (787, 1), (788, 1), (789, 1), (790, 1), (791, 1), (792, 1), (793, 1), (794, 1), (795, 1), (796, 1)], [(18, 1), (24, 1), (31, 1), (50, 2), (53, 1), (58, 1), (66, 1), (108, 1), (693, 1), (797, 1), (798, 1), (799, 1), (800, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (540, 1), (801, 1), (802, 1), (803, 1)], [(7, 1), (19, 1), (20, 2), (23, 2), (25, 2), (45, 1), (50, 2), (54, 1), (64, 1), (65, 1), (66, 1), (77, 1), (90, 2), (95, 1), (108, 1), (161, 2), (166, 1), (172, 1), (185, 1), (461, 1), (490, 1), (581, 1), (645, 1), (744, 1), (804, 1), (805, 1), (806, 1), (807, 1), (808, 1), (809, 1), (810, 1), (811, 1), (812, 1), (813, 1), (814, 1), (815, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (439, 1), (469, 1), (816, 1), (817, 1), (818, 1), (819, 1)], [(8, 1), (820, 1)], [(8, 1), (821, 1)], [(8, 3), (126, 1), (467, 1), (822, 1)], [(31, 1), (53, 1), (64, 1), (66, 1), (117, 1), (232, 1), (332, 1), (365, 1), (396, 1), (823, 1), (824, 1)], [(8, 3), (21, 1), (614, 1), (750, 1), (825, 1)], [(7, 1), (18, 1), (19, 2), (20, 3), (22, 1), (23, 1), (31, 1), (50, 2), (53, 1), (64, 1), (66, 1), (124, 1), (172, 1), (187, 1), (215, 1), (269, 1), (273, 1), (328, 1), (419, 1), (434, 1), (441, 1), (518, 1), (726, 1), (751, 1), (826, 1), (827, 1), (828, 1), (829, 1), (830, 1), (831, 1), (832, 1), (833, 1), (834, 1)], [(8, 3), (20, 1), (21, 1), (117, 1), (119, 1), (126, 1), (439, 1), (467, 1), (781, 1), (835, 1), (836, 1), (837, 1), (838, 1), (839, 1)], [(18, 1), (19, 1), (20, 1), (25, 1), (27, 1), (50, 2), (53, 3), (55, 1), (66, 1), (77, 1), (95, 1), (215, 1), (414, 1), (531, 1), (669, 1), (744, 1), (840, 1), (841, 1), (842, 1), (843, 1), (844, 1), (845, 1), (846, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (847, 1), (848, 1), (849, 1)], [(8, 1), (20, 2), (50, 1), (53, 2), (64, 1), (457, 1), (553, 1), (751, 1), (850, 1), (851, 1), (852, 1), (853, 1), (854, 1), (855, 1), (856, 1), (857, 1)], [(19, 1), (20, 1), (25, 1), (46, 1), (50, 1), (55, 2), (65, 1), (66, 1), (90, 1), (95, 1), (117, 1), (172, 1), (321, 1), (419, 1), (858, 1), (859, 1), (860, 1), (861, 1), (862, 1), (863, 1), (864, 1), (865, 1), (866, 1)], [(8, 1), (21, 1), (439, 1), (522, 1), (867, 1), (868, 1)], [(8, 1), (19, 1), (20, 2), (31, 3), (53, 2), (55, 1), (64, 1), (88, 1), (90, 1), (169, 1), (186, 1), (190, 1), (292, 1), (338, 1), (405, 1), (419, 2), (450, 1), (711, 1), (834, 1), (869, 1), (870, 1), (871, 1), (872, 1), (873, 1), (874, 1), (875, 1), (876, 1), (877, 1)], [(24, 1), (31, 1), (53, 1), (66, 1), (77, 1), (95, 1), (107, 1), (878, 1), (879, 1), (880, 1)], [(8, 1), (20, 1), (21, 1), (881, 1), (882, 1)], [(8, 1), (883, 1)], [(18, 1), (20, 1), (64, 1), (66, 1), (91, 1), (99, 2), (108, 1), (285, 1), (334, 1), (403, 1), (516, 1), (743, 1), (758, 1), (869, 1), (884, 1), (885, 1), (886, 1), (887, 1), (888, 1)], [(8, 1), (21, 1), (593, 1), (881, 1), (889, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (25, 1), (53, 1), (54, 2), (58, 1), (64, 1), (71, 2), (95, 1), (96, 1), (97, 1), (256, 1), (347, 1), (359, 1), (419, 1), (448, 1), (459, 1), (461, 1), (726, 1), (890, 1), (891, 1), (892, 1), (893, 1), (894, 1), (895, 1), (896, 1), (897, 1), (898, 1)], [(7, 1), (19, 3), (20, 1), (31, 1), (53, 1), (66, 1), (95, 1), (182, 1), (434, 1), (530, 1), (686, 1), (827, 1), (899, 1), (900, 1), (901, 1), (902, 1), (903, 1), (904, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (721, 1), (905, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (64, 1), (187, 1), (711, 1), (906, 1), (907, 1), (908, 1), (909, 1)], [(19, 2), (20, 6), (25, 3), (31, 3), (50, 3), (53, 1), (65, 2), (66, 1), (85, 1), (90, 1), (91, 1), (193, 1), (214, 1), (260, 1), (278, 1), (293, 1), (334, 1), (365, 1), (386, 1), (415, 1), (420, 1), (448, 2), (450, 3), (530, 1), (707, 1), (711, 1), (723, 1), (800, 1), (902, 1), (910, 1), (911, 1), (912, 1), (913, 1), (914, 1), (915, 1), (916, 1), (917, 1), (918, 1), (919, 1), (920, 1), (921, 1), (922, 1), (923, 1), (924, 1)], [(8, 1), (21, 1), (117, 3), (119, 3), (540, 1), (593, 1), (716, 1), (781, 1), (925, 1), (926, 1), (927, 1), (928, 1), (929, 1), (930, 1), (931, 1), (932, 1), (933, 1)], [(7, 1), (20, 3), (24, 1), (25, 2), (31, 1), (53, 2), (64, 1), (66, 1), (77, 1), (107, 1), (531, 1), (587, 1), (756, 1), (894, 1), (934, 1), (935, 1), (936, 1), (937, 1), (938, 1), (939, 1), (940, 1), (941, 1)], [(8, 1), (21, 1), (101, 1), (117, 1), (119, 1), (148, 1), (439, 1), (593, 1), (716, 1), (720, 1), (942, 1), (943, 1), (944, 1), (945, 1)], [(19, 1), (20, 2), (31, 1), (53, 1), (56, 1), (58, 1), (64, 1), (77, 1), (96, 1), (331, 1), (946, 1), (947, 1), (948, 1), (949, 1)], [(8, 1), (21, 1), (65, 1), (101, 1), (117, 1), (119, 1), (439, 1), (593, 1), (716, 1), (950, 1), (951, 1), (952, 1), (953, 1), (954, 1), (955, 1)], [(18, 1), (21, 1), (50, 1), (53, 1), (64, 1), (66, 1), (95, 1), (334, 1), (414, 1), (956, 1), (957, 1), (958, 1), (959, 1)], [(8, 1), (21, 1), (950, 1), (951, 1)], [(10, 1), (960, 1), (961, 1)], [(8, 1), (19, 2), (20, 3), (25, 3), (45, 1), (50, 2), (53, 4), (64, 1), (71, 1), (74, 1), (77, 1), (95, 1), (97, 1), (109, 1), (117, 1), (126, 1), (214, 1), (232, 1), (233, 1), (320, 1), (414, 1), (447, 1), (518, 1), (962, 1), (963, 1), (964, 1), (965, 1), (966, 1), (967, 1), (968, 1), (969, 1), (970, 1), (971, 1), (972, 1), (973, 1)], [(20, 2), (50, 1), (53, 3), (66, 1), (111, 1), (206, 1), (214, 1), (331, 1), (420, 1), (447, 1), (707, 1), (774, 1), (791, 1), (892, 1), (974, 1), (975, 1), (976, 1)], [(8, 1), (21, 1), (977, 1)], [(19, 1), (20, 1), (24, 1), (25, 1), (45, 1), (50, 1), (53, 2), (64, 1), (66, 1), (117, 1), (197, 1), (392, 1), (706, 1), (978, 1), (979, 1), (980, 1), (981, 1), (982, 1), (983, 1), (984, 1), (985, 1), (986, 1), (987, 1), (988, 1), (989, 1), (990, 1), (991, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (992, 1), (993, 1)], [(8, 1), (20, 4), (50, 1), (53, 4), (64, 1), (331, 1), (450, 1), (553, 1), (994, 1), (995, 1), (996, 1), (997, 1), (998, 1), (999, 1), (1000, 1), (1001, 1), (1002, 1), (1003, 1), (1004, 1), (1005, 1), (1006, 1), (1007, 1), (1008, 1)], [(7, 1), (18, 1), (19, 1), (20, 3), (24, 1), (31, 1), (55, 1), (64, 1), (65, 1), (66, 1), (95, 1), (241, 1), (414, 1), (553, 1), (583, 1), (680, 1), (873, 1), (999, 1), (1009, 1), (1010, 1), (1011, 1), (1012, 1), (1013, 1), (1014, 1), (1015, 1), (1016, 1)], [(8, 1), (20, 1), (21, 1), (117, 1), (119, 1), (439, 1), (576, 1), (593, 1), (929, 1), (1017, 1), (1018, 1), (1019, 1)], [(18, 1), (20, 1), (29, 1), (50, 2), (53, 1), (55, 1), (64, 1), (66, 1), (85, 1), (111, 1), (193, 1), (214, 1), (976, 1), (1020, 1), (1021, 1), (1022, 1), (1023, 1), (1024, 1), (1025, 1), (1026, 1)], [(8, 1), (21, 1), (101, 1), (117, 1), (119, 1), (126, 1), (439, 1), (522, 2), (1027, 1), (1028, 1), (1029, 1), (1030, 1)], [(10, 1), (126, 1), (960, 1), (1031, 1), (1032, 1), (1033, 1)], [(18, 1), (19, 1), (20, 1), (24, 1), (25, 2), (29, 1), (31, 3), (50, 2), (53, 6), (64, 1), (65, 1), (66, 1), (77, 2), (90, 1), (92, 1), (95, 2), (109, 1), (117, 1), (193, 1), (232, 1), (662, 1), (680, 2), (833, 1), (907, 1), (1021, 1), (1026, 1), (1034, 1), (1035, 1), (1036, 1), (1037, 1), (1038, 1), (1039, 1), (1040, 1), (1041, 1), (1042, 1), (1043, 1), (1044, 2), (1045, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (1046, 1), (1047, 1)], [(18, 1), (24, 1), (64, 1), (66, 1), (77, 1), (95, 1), (107, 1), (654, 1), (704, 1), (1048, 1), (1049, 1)], [(8, 1), (21, 1), (1050, 1), (1051, 1)], [(20, 3), (50, 1), (53, 2), (55, 1), (64, 1), (66, 1), (82, 1), (88, 1), (91, 1), (161, 1), (256, 1), (359, 1), (365, 1), (396, 1), (419, 1), (726, 1), (763, 1), (792, 1), (827, 1), (897, 1), (935, 1), (1052, 1), (1053, 1), (1054, 1), (1055, 1), (1056, 1), (1057, 1)], [(8, 1), (21, 1), (101, 1), (117, 1), (119, 1), (439, 2), (493, 1), (522, 1), (781, 1), (952, 1), (1058, 1), (1059, 1), (1060, 1), (1061, 1)], [(7, 2), (20, 19), (22, 2), (25, 4), (31, 5), (50, 1), (53, 1), (64, 1), (66, 1), (90, 1), (92, 1), (109, 1), (111, 2), (117, 2), (182, 1), (197, 3), (210, 1), (331, 1), (354, 1), (359, 1), (392, 1), (396, 1), (413, 1), (414, 1), (506, 1), (516, 1), (553, 1), (554, 1), (632, 1), (705, 1), (795, 1), (812, 1), (915, 1), (1024, 1), (1062, 1), (1063, 1), (1064, 1), (1065, 1), (1066, 1), (1067, 1), (1068, 1), (1069, 1), (1070, 1), (1071, 1), (1072, 1), (1073, 1), (1074, 1), (1075, 2), (1076, 1), (1077, 1), (1078, 1), (1079, 1), (1080, 1), (1081, 1), (1082, 1), (1083, 1), (1084, 1), (1085, 1), (1086, 1), (1087, 1), (1088, 1), (1089, 1), (1090, 1), (1091, 1), (1092, 1), (1093, 1), (1094, 1), (1095, 1), (1096, 1), (1097, 1), (1098, 1), (1099, 1), (1100, 1), (1101, 1), (1102, 1), (1103, 1), (1104, 1), (1105, 1), (1106, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (439, 1), (1107, 1), (1108, 1), (1109, 1), (1110, 1)], [(64, 1), (247, 1), (1111, 1)], [(247, 1), (1112, 1)], [(247, 1), (1111, 1)], [(8, 1), (1113, 1)], [(8, 1), (53, 1), (117, 1), (232, 1), (447, 1), (553, 1), (1114, 1), (1115, 1)], [(18, 2), (20, 1), (22, 1), (53, 2), (66, 1), (74, 1), (77, 1), (95, 1), (173, 1), (185, 1), (359, 1), (395, 1), (587, 1), (833, 2), (1116, 1), (1117, 1), (1118, 2), (1119, 1), (1120, 1), (1121, 1), (1122, 1)], [(8, 1), (21, 1), (101, 1), (117, 1), (119, 1), (439, 1), (522, 1), (1123, 1), (1124, 1), (1125, 1)], [(18, 2), (19, 1), (20, 1), (21, 2), (25, 1), (53, 3), (55, 1), (64, 1), (65, 1), (66, 1), (77, 1), (84, 1), (108, 1), (117, 1), (187, 1), (190, 1), (232, 1), (269, 1), (287, 1), (328, 1), (359, 1), (365, 1), (392, 1), (414, 1), (415, 1), (420, 1), (448, 1), (459, 1), (728, 1), (1012, 1), (1126, 1), (1127, 1), (1128, 2), (1129, 1), (1130, 1), (1131, 1), (1132, 1), (1133, 1), (1134, 1), (1135, 1), (1136, 1), (1137, 1), (1138, 1), (1139, 1), (1140, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (438, 1), (522, 1), (953, 1), (1141, 1), (1142, 1)], [(7, 1), (18, 4), (20, 1), (23, 1), (25, 2), (31, 1), (50, 1), (53, 1), (64, 1), (66, 1), (95, 1), (108, 1), (117, 1), (186, 1), (232, 1), (353, 1), (442, 1), (1080, 1), (1088, 1), (1143, 1), (1144, 1), (1145, 1), (1146, 1), (1147, 1), (1148, 1), (1149, 1), (1150, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (1151, 1), (1152, 1), (1153, 1), (1154, 1)], [(7, 1), (18, 2), (19, 1), (20, 2), (31, 1), (53, 1), (64, 1), (66, 1), (95, 1), (108, 1), (217, 1), (268, 1), (323, 1), (347, 1), (426, 1), (458, 1), (461, 1), (583, 1), (609, 1), (763, 1), (833, 1), (1155, 1), (1156, 1), (1157, 1), (1158, 1), (1159, 1), (1160, 1), (1161, 1), (1162, 1)], [(8, 1), (21, 1), (539, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (22, 2), (23, 1), (45, 1), (50, 1), (64, 2), (117, 1), (173, 1), (186, 1), (193, 1), (215, 2), (285, 1), (726, 1), (756, 1), (1163, 1), (1164, 1), (1165, 1), (1166, 1), (1167, 1), (1168, 1), (1169, 1), (1170, 1), (1171, 1), (1172, 1), (1173, 1), (1174, 1), (1175, 1), (1176, 1), (1177, 1)], [(18, 1), (20, 1), (36, 1), (65, 1), (90, 1), (117, 1), (232, 1), (537, 1), (1178, 1), (1179, 1), (1180, 1), (1181, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (1182, 1), (1183, 1)], [(20, 1), (24, 1), (25, 1), (31, 2), (53, 2), (64, 1), (66, 1), (90, 1), (187, 1), (217, 1), (328, 1), (347, 1), (414, 1), (419, 1), (443, 1), (459, 1), (726, 1), (1184, 1), (1185, 1), (1186, 1), (1187, 1), (1188, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (1189, 1), (1190, 1), (1191, 1), (1192, 1)], [(64, 1), (247, 1), (332, 1), (1193, 1)], [(8, 1), (20, 1), (53, 1), (77, 1), (96, 1), (946, 1), (1194, 1), (1195, 1), (1196, 1)], [(7, 1), (18, 1), (20, 1), (23, 1), (64, 1), (66, 1), (95, 1), (172, 1), (217, 1), (419, 1), (1169, 1), (1197, 1)], [(20, 1), (66, 1), (101, 2), (126, 1), (439, 3), (466, 1), (473, 1), (522, 3), (540, 1), (716, 1), (953, 1), (993, 1), (1198, 1), (1199, 1), (1200, 1), (1201, 1), (1202, 1), (1203, 1), (1204, 1), (1205, 1), (1206, 1), (1207, 1), (1208, 1), (1209, 1)], [(8, 1), (20, 1), (466, 1), (522, 2), (953, 1), (1210, 1), (1211, 1), (1212, 1), (1213, 1), (1214, 1), (1215, 1)], [(8, 1), (20, 1), (1216, 1), (1217, 1), (1218, 1)], [(20, 5), (22, 1), (24, 1), (31, 3), (32, 1), (33, 1), (50, 1), (53, 6), (54, 2), (58, 1), (64, 1), (66, 1), (95, 1), (126, 1), (209, 1), (269, 1), (331, 1), (346, 1), (365, 1), (754, 1), (1081, 1), (1090, 1), (1219, 1), (1220, 1), (1221, 1), (1222, 1), (1223, 1), (1224, 1), (1225, 1), (1226, 1), (1227, 1), (1228, 1), (1229, 1)], [(8, 1), (21, 1), (1230, 1), (1231, 1), (1232, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (31, 1), (50, 2), (53, 2), (64, 1), (95, 1), (109, 1), (111, 1), (185, 1), (253, 1), (269, 1), (460, 1), (462, 1), (538, 1), (913, 1), (1233, 1), (1234, 1), (1235, 1), (1236, 1), (1237, 1), (1238, 1), (1239, 1), (1240, 1), (1241, 1), (1242, 1)], [(102, 1)], [(18, 1), (19, 1), (20, 3), (31, 1), (50, 1), (53, 3), (64, 1), (66, 1), (95, 1), (97, 1), (111, 1), (404, 1), (516, 1), (623, 1), (1010, 1), (1041, 1), (1240, 1), (1243, 1), (1244, 1), (1245, 1), (1246, 1), (1247, 1), (1248, 1), (1249, 1), (1250, 1)], [(8, 1), (21, 1), (1251, 1)], [(8, 1), (20, 3), (22, 3), (25, 3), (30, 2), (45, 2), (53, 3), (55, 4), (64, 1), (109, 1), (173, 3), (193, 2), (206, 1), (214, 1), (275, 1), (307, 1), (587, 1), (693, 1), (706, 2), (711, 1), (756, 1), (777, 2), (814, 1), (913, 1), (1252, 1), (1253, 1), (1254, 1), (1255, 1), (1256, 1), (1257, 1), (1258, 1), (1259, 1), (1260, 1), (1261, 1), (1262, 1), (1263, 1), (1264, 1), (1265, 1), (1266, 1), (1267, 1), (1268, 1), (1269, 1), (1270, 1)], [(102, 1)], [(10, 1), (11, 1), (18, 2), (20, 7), (25, 3), (31, 1), (50, 7), (53, 6), (66, 1), (77, 1), (90, 2), (91, 1), (107, 1), (111, 1), (122, 1), (172, 3), (203, 1), (215, 1), (217, 1), (228, 1), (239, 1), (293, 4), (334, 1), (399, 1), (407, 2), (450, 1), (531, 1), (609, 1), (743, 2), (756, 1), (852, 1), (884, 1), (963, 1), (1196, 1), (1253, 1), (1271, 1), (1272, 1), (1273, 1), (1274, 1), (1275, 1), (1276, 1), (1277, 1), (1278, 1), (1279, 1), (1280, 1), (1281, 1), (1282, 1), (1283, 1), (1284, 1), (1285, 1), (1286, 1), (1287, 1), (1288, 1), (1289, 1)], [(8, 1), (20, 1), (21, 1), (101, 1), (117, 1), (119, 1), (438, 1), (439, 1), (522, 1), (720, 1), (1207, 1), (1290, 1), (1291, 1)], [(10, 2), (11, 2), (18, 2), (19, 4), (20, 4), (24, 1), (25, 2), (26, 1), (31, 2), (37, 1), (46, 1), (50, 3), (53, 4), (64, 5), (66, 1), (77, 1), (82, 1), (95, 1), (111, 1), (124, 1), (193, 2), (206, 1), (215, 2), (256, 1), (279, 1), (293, 1), (407, 1), (441, 1), (756, 3), (764, 1), (776, 1), (827, 1), (833, 1), (860, 1), (906, 1), (974, 1), (1041, 2), (1166, 1), (1253, 1), (1292, 1), (1293, 1), (1294, 1), (1295, 1), (1296, 1), (1297, 1), (1298, 1), (1299, 1), (1300, 1), (1301, 1), (1302, 1), (1303, 1), (1304, 1), (1305, 1), (1306, 1), (1307, 1), (1308, 1), (1309, 1), (1310, 1), (1311, 1), (1312, 1), (1313, 1)], [(8, 1), (20, 1), (21, 1), (117, 1), (119, 1), (439, 1), (781, 1), (838, 1), (839, 1), (1314, 1), (1315, 1), (1316, 1), (1317, 1), (1318, 1)], [(8, 1), (1319, 1), (1320, 1)], [(8, 1), (53, 1), (54, 1), (64, 1), (65, 1), (85, 1), (109, 1), (235, 1), (317, 1), (351, 1), (706, 1), (1163, 1), (1321, 1), (1322, 1)], [(64, 1), (946, 1), (1323, 1), (1324, 1)], [(8, 1), (53, 1), (1325, 1), (1326, 1)], [(20, 1), (53, 1), (64, 1), (66, 1), (708, 1), (949, 1), (1327, 1), (1328, 1), (1329, 1), (1330, 1)], [(8, 1), (64, 1), (186, 1), (324, 1), (1331, 1), (1332, 1)], [(1178, 1), (1333, 1)], [(20, 1), (64, 1), (66, 1), (949, 1), (1333, 1)], [(64, 1), (65, 1), (247, 1), (706, 1), (1334, 1), (1335, 1)], [(32, 1), (34, 1), (90, 1), (95, 1), (99, 1), (946, 1), (1336, 1)], [(20, 1), (64, 1), (247, 1), (949, 1), (1337, 1), (1338, 1)], [(50, 1), (126, 1), (247, 1), (396, 1), (1253, 1), (1339, 1)], [(247, 1), (351, 1), (1321, 1), (1322, 1)], [(351, 1), (1178, 1), (1322, 1), (1340, 1)], [(64, 1), (85, 1), (247, 1), (1341, 1)], [(85, 1), (197, 1), (1113, 1), (1178, 1), (1342, 1)], [(20, 1), (64, 1), (247, 1), (949, 1), (1337, 2)], [(247, 1), (351, 1), (1321, 1), (1322, 1)], [(21, 4), (65, 2), (328, 2), (985, 1), (1178, 1), (1321, 1), (1322, 1), (1343, 1), (1344, 1), (1345, 1), (1346, 1)], [(64, 1), (708, 1), (946, 1), (1347, 1), (1348, 1)], [(18, 1), (25, 1), (64, 1), (66, 1), (1240, 1), (1349, 1), (1350, 1)], [(25, 1), (64, 1), (247, 1), (1351, 1), (1352, 1)], [(247, 1), (293, 1), (707, 1)], [(37, 1), (66, 1), (1353, 1), (1354, 1)], [(8, 2), (21, 1), (117, 1), (119, 1), (126, 1), (522, 1), (610, 1), (1318, 1), (1355, 1), (1356, 1), (1357, 1), (1358, 1)], [(8, 1), (1359, 1)], [(19, 2), (20, 2), (24, 1), (50, 2), (53, 2), (64, 1), (65, 1), (66, 1), (97, 1), (214, 1), (410, 1), (414, 1), (419, 1), (488, 1), (709, 1), (756, 1), (1360, 1), (1361, 1), (1362, 1), (1363, 1), (1364, 1), (1365, 1), (1366, 1), (1367, 1), (1368, 1)], [(8, 1), (439, 1), (466, 1), (473, 1), (522, 1), (540, 1), (838, 1), (1163, 1), (1198, 1), (1369, 1), (1370, 1), (1371, 1)], [(8, 3), (126, 1), (467, 1), (1372, 1)], [(7, 2), (18, 2), (20, 1), (22, 2), (25, 1), (53, 5), (54, 1), (55, 1), (66, 1), (95, 1), (97, 1), (108, 1), (173, 2), (193, 1), (256, 1), (347, 1), (373, 1), (381, 1), (406, 1), (414, 1), (420, 1), (428, 1), (448, 1), (574, 1), (680, 1), (711, 1), (726, 1), (776, 1), (827, 1), (1308, 1), (1342, 1), (1373, 1), (1374, 1), (1375, 1), (1376, 1), (1377, 1), (1378, 1), (1379, 1), (1380, 1), (1381, 1), (1382, 1), (1383, 1), (1384, 1), (1385, 1)], [(8, 1), (21, 1), (522, 1), (540, 1), (1315, 1), (1386, 1), (1387, 1), (1388, 1)], [(8, 2), (18, 1), (20, 1), (25, 1), (50, 1), (53, 1), (64, 2), (77, 1), (233, 1), (452, 1), (1163, 1), (1195, 1), (1361, 1), (1389, 1), (1390, 1), (1391, 1), (1392, 1), (1393, 1), (1394, 1), (1395, 1)], [(7, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 1), (50, 1), (53, 3), (66, 1), (77, 1), (111, 1), (197, 1), (226, 1), (351, 1), (365, 1), (407, 1), (456, 1), (672, 1), (1136, 1), (1140, 1), (1389, 1), (1396, 1), (1397, 1), (1398, 1), (1399, 1), (1400, 1), (1401, 1), (1402, 1), (1403, 1), (1404, 1)], [(8, 3), (20, 1), (21, 1), (117, 1), (119, 2), (120, 1), (126, 1), (439, 3), (493, 1), (522, 2), (716, 1), (929, 1), (953, 1), (1405, 1), (1406, 1), (1407, 1), (1408, 1), (1409, 1), (1410, 1), (1411, 1), (1412, 1), (1413, 1)], [(8, 1), (1372, 1)], [(18, 1), (20, 1), (24, 1), (25, 1), (30, 2), (31, 1), (64, 1), (66, 1), (95, 1), (461, 1), (777, 1), (1414, 1), (1415, 1), (1416, 1), (1417, 1)], [(20, 2), (66, 1), (101, 2), (117, 2), (119, 2), (439, 5), (470, 1), (475, 1), (522, 1), (540, 2), (929, 1), (1198, 1), (1418, 1), (1419, 1), (1420, 1), (1421, 1), (1422, 1), (1423, 1), (1424, 1), (1425, 1), (1426, 1)], [(8, 1), (466, 1), (1427, 1)], [(8, 2), (547, 1), (611, 1), (1428, 1)], [(19, 1), (20, 1), (23, 1), (50, 1), (53, 1), (64, 2), (66, 1), (99, 2), (190, 1), (202, 1), (869, 1), (885, 1), (1163, 1), (1429, 1), (1430, 1), (1431, 1), (1432, 1), (1433, 1), (1434, 1), (1435, 1)], [(8, 1), (10, 1), (20, 1), (21, 1), (439, 1), (466, 1), (470, 1), (522, 1), (542, 1), (590, 1), (782, 1), (1436, 1), (1437, 2), (1438, 1), (1439, 1)], [(8, 1), (65, 1), (101, 1), (439, 1), (473, 1), (522, 1), (523, 1), (838, 1), (1206, 1), (1440, 1)], [(18, 1), (19, 3), (20, 5), (24, 1), (25, 1), (31, 1), (50, 3), (53, 4), (58, 1), (64, 1), (65, 1), (66, 1), (92, 1), (95, 1), (430, 1), (450, 1), (504, 1), (711, 1), (902, 1), (1042, 1), (1043, 1), (1102, 1), (1235, 1), (1441, 1), (1442, 1), (1443, 1), (1444, 1), (1445, 1), (1446, 1), (1447, 1), (1448, 1), (1449, 1), (1450, 1), (1451, 1)], [(8, 1), (21, 1), (117, 1), (118, 1), (119, 1), (1452, 1), (1453, 1)], [(19, 3), (20, 2), (22, 2), (31, 1), (32, 1), (50, 1), (53, 4), (64, 1), (65, 1), (66, 1), (90, 1), (95, 1), (108, 1), (172, 1), (214, 1), (281, 1), (430, 1), (487, 1), (922, 1), (1308, 1), (1447, 1), (1454, 1), (1455, 1), (1456, 1), (1457, 1), (1458, 1), (1459, 1), (1460, 1), (1461, 1), (1462, 1), (1463, 1), (1464, 1), (1465, 1), (1466, 1), (1467, 1), (1468, 1), (1469, 1), (1470, 1), (1471, 1)], [(8, 1), (21, 1), (64, 2), (469, 1), (1472, 1), (1473, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (53, 1), (64, 1), (65, 1), (77, 1), (95, 1), (122, 1), (414, 1), (583, 1), (654, 1), (707, 1), (709, 1), (827, 1), (1159, 1), (1474, 1), (1475, 1), (1476, 1), (1477, 1)], [(18, 1), (20, 3), (24, 1), (31, 1), (53, 2), (55, 1), (65, 2), (66, 1), (91, 1), (109, 1), (193, 1), (225, 1), (317, 1), (488, 1), (752, 1), (834, 1), (1010, 1), (1170, 1), (1238, 1), (1255, 1), (1270, 1), (1478, 1), (1479, 1), (1480, 1), (1481, 1), (1482, 1), (1483, 1), (1484, 1), (1485, 1), (1486, 1), (1487, 1), (1488, 1)], [(8, 1), (21, 1), (540, 1), (1318, 1), (1489, 1)], [(8, 3), (119, 1), (1413, 1), (1490, 1)], [(8, 1), (1490, 1)], [(19, 2), (20, 3), (25, 2), (31, 2), (50, 2), (53, 3), (64, 1), (66, 1), (90, 1), (111, 1), (168, 1), (172, 1), (182, 1), (187, 1), (206, 1), (217, 1), (442, 1), (459, 1), (711, 1), (753, 1), (772, 1), (777, 1), (829, 1), (830, 2), (865, 1), (974, 1), (1035, 1), (1080, 1), (1491, 1), (1492, 1), (1493, 1), (1494, 1), (1495, 1), (1496, 1), (1497, 1), (1498, 1), (1499, 1), (1500, 1), (1501, 1), (1502, 1)], [(8, 1), (21, 1), (101, 1), (126, 1), (439, 1), (522, 1), (593, 1), (1152, 1), (1204, 1), (1503, 1), (1504, 1)], [(20, 1), (31, 1), (50, 2), (53, 5), (54, 1), (64, 1), (66, 1), (82, 1), (90, 1), (109, 1), (122, 1), (187, 1), (206, 1), (399, 1), (450, 1), (709, 1), (726, 1), (913, 1), (1057, 1), (1505, 1), (1506, 1), (1507, 1), (1508, 1), (1509, 1), (1510, 1), (1511, 1), (1512, 1)], [(8, 1), (21, 1), (65, 1), (101, 1), (439, 2), (522, 2), (540, 1), (1027, 1), (1206, 1), (1513, 1), (1514, 1), (1515, 1), (1516, 1)], [(10, 1), (11, 1), (31, 1), (40, 1), (46, 1), (50, 3), (53, 2), (64, 1), (66, 1), (77, 1), (85, 1), (90, 1), (97, 1), (122, 1), (222, 1), (240, 1), (355, 1), (414, 1), (711, 1), (982, 1), (1363, 1), (1517, 1), (1518, 1), (1519, 1), (1520, 1), (1521, 1), (1522, 1)], [(8, 1), (21, 1), (101, 1), (126, 1), (716, 1), (1422, 1), (1523, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (53, 2), (64, 1), (109, 1), (186, 1), (428, 1), (678, 1), (680, 1), (1010, 1), (1524, 1), (1525, 1), (1526, 1), (1527, 1), (1528, 1)], [(53, 1), (54, 1), (66, 1), (122, 1), (1529, 1)], [(8, 1), (21, 1), (101, 1), (439, 1), (475, 1), (1530, 1), (1531, 1), (1532, 1)], [(18, 2), (19, 2), (20, 2), (22, 1), (24, 1), (45, 1), (50, 2), (53, 2), (55, 1), (64, 1), (66, 1), (71, 1), (77, 1), (99, 2), (175, 1), (256, 1), (285, 1), (288, 1), (623, 1), (756, 1), (1533, 1), (1534, 1), (1535, 1), (1536, 1), (1537, 1), (1538, 1), (1539, 1), (1540, 1), (1541, 1), (1542, 1), (1543, 1)], [(8, 1), (21, 1), (126, 1), (540, 1), (716, 1), (929, 1), (1318, 1), (1544, 1), (1545, 1), (1546, 1)], [(10, 2), (11, 1), (18, 1), (20, 3), (23, 1), (25, 1), (50, 2), (53, 3), (64, 3), (66, 1), (97, 1), (117, 1), (187, 1), (206, 1), (232, 1), (269, 2), (337, 1), (386, 1), (388, 1), (413, 1), (415, 1), (418, 1), (569, 1), (679, 1), (726, 1), (777, 1), (782, 1), (833, 1), (1041, 1), (1160, 1), (1417, 1), (1547, 1), (1548, 1), (1549, 1), (1550, 1), (1551, 1), (1552, 1), (1553, 1), (1554, 1), (1555, 1), (1556, 1), (1557, 1), (1558, 1), (1559, 1)], [(8, 1), (21, 1), (117, 1), (119, 1), (126, 1), (522, 1), (781, 1), (1560, 1), (1561, 1)], [(37, 1), (1562, 1), (1563, 1), (1564, 1)], [(18, 1), (19, 1), (20, 4), (37, 1), (45, 1), (50, 2), (53, 4), (55, 1), (58, 1), (108, 1), (173, 1), (215, 1), (281, 1), (324, 1), (373, 1), (688, 1), (693, 1), (706, 2), (726, 1), (756, 1), (829, 1), (1253, 1), (1564, 1), (1565, 1), (1566, 1), (1567, 1), (1568, 1), (1569, 1), (1570, 1), (1571, 1), (1572, 1), (1573, 1), (1574, 1)], [(8, 1), (21, 1), (101, 1), (439, 1), (1575, 1), (1576, 1)], [(20, 3), (53, 2), (64, 1), (68, 1), (71, 1), (77, 1), (95, 1), (241, 1), (313, 1), (324, 1), (498, 1), (812, 1), (861, 1), (1178, 1), (1297, 1), (1395, 1), (1577, 1), (1578, 1), (1579, 1), (1580, 1)], [(8, 1), (21, 1), (953, 1), (1581, 1)], [(20, 4), (25, 1), (31, 1), (45, 1), (50, 1), (51, 1), (53, 2), (64, 1), (66, 1), (71, 1), (77, 1), (126, 1), (190, 1), (331, 1), (359, 1), (365, 1), (583, 1), (601, 2), (756, 1), (970, 1), (1139, 1), (1582, 1), (1583, 1), (1584, 1), (1585, 1), (1586, 1), (1587, 1), (1588, 1), (1589, 1), (1590, 1)], [(8, 1), (21, 1), (101, 1), (1581, 1)], [(1544, 1), (1591, 1)], [(8, 1), (1592, 1)], [(8, 1), (506, 1), (1353, 1), (1593, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (21, 2), (23, 2), (25, 2), (31, 1), (34, 1), (50, 1), (53, 2), (56, 1), (111, 1), (174, 1), (236, 1), (268, 1), (285, 1), (288, 1), (410, 1), (414, 1), (506, 1), (527, 1), (569, 1), (609, 1), (752, 1), (757, 1), (812, 1), (884, 2), (1157, 1), (1391, 1), (1498, 1), (1580, 1), (1594, 1), (1595, 1), (1596, 1), (1597, 1), (1598, 1), (1599, 1), (1600, 1)], [(8, 1), (18, 1), (23, 1), (25, 1), (50, 1), (53, 2), (77, 1), (122, 1), (172, 1), (697, 1), (708, 1), (1601, 1), (1602, 1), (1603, 1), (1604, 1)], [(8, 1), (18, 2), (19, 3), (20, 5), (21, 1), (22, 3), (23, 5), (25, 3), (31, 1), (50, 2), (53, 3), (58, 3), (75, 1), (77, 1), (90, 1), (109, 1), (117, 1), (169, 2), (184, 1), (186, 1), (197, 1), (215, 2), (232, 1), (276, 1), (307, 1), (365, 1), (382, 1), (410, 1), (428, 1), (506, 2), (531, 1), (581, 1), (708, 1), (744, 1), (897, 1), (921, 1), (941, 1), (1012, 1), (1115, 1), (1149, 2), (1342, 1), (1476, 1), (1580, 2), (1605, 1), (1606, 1), (1607, 1), (1608, 1), (1609, 1), (1610, 1), (1611, 1), (1612, 1), (1613, 1), (1614, 1), (1615, 2), (1616, 1), (1617, 1), (1618, 1), (1619, 1), (1620, 1), (1621, 1), (1622, 1), (1623, 1), (1624, 1), (1625, 1), (1626, 1), (1627, 1), (1628, 1), (1629, 1), (1630, 1), (1631, 1), (1632, 3)], [(8, 1), (25, 1), (77, 1), (106, 1), (108, 1), (1459, 1), (1580, 1), (1633, 1), (1634, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (23, 1), (45, 1), (53, 1), (88, 1), (281, 1), (369, 1), (709, 1), (1068, 1), (1377, 1), (1635, 1), (1636, 1), (1637, 1), (1638, 1), (1639, 1)], [(8, 1), (31, 1), (77, 1), (185, 1), (351, 1), (527, 1), (1640, 1)], [(8, 1), (20, 3), (31, 1), (37, 1), (53, 2), (55, 1), (58, 1), (69, 1), (111, 1), (256, 1), (415, 1), (433, 1), (448, 1), (450, 1), (452, 1), (506, 1), (583, 1), (600, 1), (711, 1), (869, 1), (922, 1), (1241, 1), (1342, 1), (1641, 1), (1642, 1), (1643, 1), (1644, 1)], [(7, 2), (8, 1), (20, 1), (21, 1), (32, 1), (50, 1), (53, 1), (55, 1), (58, 1), (77, 1), (215, 1), (324, 1), (351, 1), (394, 1), (1122, 1), (1159, 1), (1645, 1), (1646, 1), (1647, 1), (1648, 1), (1649, 1), (1650, 1), (1651, 1), (1652, 1), (1653, 1), (1654, 1), (1655, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (88, 1), (99, 1), (1166, 1), (1656, 1), (1657, 1), (1658, 1)], [(7, 2), (8, 1), (18, 1), (20, 3), (25, 1), (50, 2), (53, 1), (77, 2), (85, 1), (90, 1), (97, 1), (405, 1), (435, 1), (459, 1), (507, 1), (1139, 1), (1520, 1), (1659, 1), (1660, 1), (1661, 1), (1662, 1), (1663, 1), (1664, 1), (1665, 1), (1666, 1), (1667, 1), (1668, 1), (1669, 1)], [(8, 1), (50, 1), (53, 1), (65, 1), (193, 1), (328, 1), (680, 1), (1670, 1), (1671, 1), (1672, 1)], [(8, 1), (18, 1), (50, 1), (53, 1), (891, 1), (1647, 1), (1673, 1), (1674, 1), (1675, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (109, 2), (831, 1), (1676, 1), (1677, 1), (1678, 1), (1679, 1), (1680, 1), (1681, 1), (1682, 1)], [(8, 1), (20, 1), (31, 1), (34, 1), (37, 1), (50, 1), (53, 1), (99, 1), (281, 1), (516, 1), (583, 1), (596, 1), (600, 1), (627, 1), (800, 1), (1255, 1), (1683, 1), (1684, 1), (1685, 1), (1686, 1), (1687, 1), (1688, 1), (1689, 1), (1690, 2), (1691, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 3), (31, 1), (50, 1), (53, 4), (65, 1), (109, 1), (215, 1), (281, 1), (305, 1), (306, 1), (355, 1), (448, 3), (504, 1), (757, 1), (777, 1), (1012, 1), (1296, 1), (1481, 1), (1615, 1), (1692, 1), (1693, 1), (1694, 1), (1695, 1), (1696, 1), (1697, 1), (1698, 1), (1699, 1), (1700, 1), (1701, 1), (1702, 1), (1703, 1)], [(8, 1), (19, 3), (20, 2), (21, 1), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (186, 1), (206, 1), (214, 1), (301, 1), (412, 1), (1542, 1), (1704, 1), (1705, 1), (1706, 1), (1707, 1), (1708, 1), (1709, 1), (1710, 1), (1711, 1), (1712, 1), (1713, 1)], [(77, 1), (185, 1), (897, 1), (1347, 1), (1714, 1)], [(53, 1), (170, 1), (1131, 1), (1714, 1), (1715, 1), (1716, 1)], [(226, 1), (596, 1), (711, 1), (1685, 1), (1714, 1)], [(247, 1), (301, 1), (1170, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (53, 1), (108, 2), (124, 1), (226, 1), (680, 1), (702, 1), (1460, 1), (1671, 1), (1717, 1), (1718, 1), (1719, 1), (1720, 1)], [(247, 1), (1721, 1)], [(8, 1), (22, 1), (50, 2), (53, 3), (82, 1), (91, 1), (190, 2), (256, 1), (405, 1), (1329, 1), (1487, 1), (1631, 1), (1722, 1), (1723, 1), (1724, 1), (1725, 1), (1726, 1), (1727, 1), (1728, 1), (1729, 1)], [(8, 1), (1165, 1)], [(8, 1), (31, 1), (53, 1), (203, 1), (215, 2), (530, 1), (581, 1), (654, 1), (680, 1), (711, 1), (1615, 1), (1730, 1), (1731, 1), (1732, 1), (1733, 1)], [(8, 1), (21, 2), (50, 1), (91, 1), (328, 1), (331, 1), (711, 1), (800, 1), (1240, 1), (1734, 1)], [(8, 1), (20, 5), (21, 1), (25, 3), (37, 1), (109, 1), (702, 1), (711, 1), (1056, 1), (1657, 1), (1735, 1), (1736, 1), (1737, 1), (1738, 1), (1739, 1), (1740, 1), (1741, 1)], [(8, 1), (37, 1), (226, 1), (711, 1), (1742, 1), (1743, 1)], [(20, 1), (37, 1), (50, 3), (53, 3), (91, 1), (355, 1), (506, 1), (834, 1), (1714, 1), (1744, 1), (1745, 1), (1746, 1), (1747, 1), (1748, 1), (1749, 1), (1750, 1), (1751, 1)], [(8, 1), (124, 1), (1752, 1)], [(8, 1), (22, 1), (31, 2), (50, 1), (53, 1), (99, 1), (214, 1), (405, 1), (445, 1), (448, 1), (1012, 1), (1753, 1), (1754, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 2), (25, 2), (31, 2), (53, 1), (58, 1), (69, 1), (99, 3), (161, 1), (269, 1), (291, 1), (310, 1), (328, 1), (340, 1), (660, 1), (1755, 1), (1756, 1), (1757, 1), (1758, 1), (1759, 1), (1760, 1)], [(8, 1), (31, 1), (58, 1), (77, 1), (351, 1), (1761, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (21, 1), (25, 1), (31, 2), (37, 1), (45, 3), (50, 1), (53, 1), (65, 2), (71, 2), (90, 2), (99, 1), (173, 1), (190, 1), (328, 1), (407, 1), (414, 1), (496, 1), (504, 1), (600, 1), (645, 1), (680, 2), (704, 1), (753, 1), (800, 1), (1095, 1), (1304, 1), (1687, 1), (1762, 1), (1763, 1), (1764, 1), (1765, 1), (1766, 1), (1767, 1), (1768, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 1), (40, 1), (53, 1), (55, 1), (71, 2), (99, 1), (185, 1), (324, 1), (334, 1), (504, 1), (815, 1), (1517, 1), (1769, 1), (1770, 1), (1771, 1), (1772, 1), (1773, 1), (1774, 1), (1775, 1), (1776, 1), (1777, 1)], [(8, 1), (20, 2), (25, 1), (40, 1), (108, 1), (197, 1), (214, 1), (215, 1), (269, 1), (680, 1), (1778, 1), (1779, 1), (1780, 1), (1781, 1)], [(8, 1), (77, 1), (226, 1), (301, 1), (531, 1), (1782, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (36, 1), (37, 1), (50, 2), (53, 3), (99, 1), (407, 1), (1093, 1), (1430, 1), (1783, 1), (1784, 1), (1785, 1), (1786, 1), (1787, 1), (1788, 1), (1789, 1), (1790, 1), (1791, 1)], [(53, 1), (77, 1), (173, 1), (596, 1), (1077, 1), (1714, 1), (1792, 1), (1793, 1)], [(8, 1), (18, 4), (20, 3), (22, 2), (25, 4), (45, 3), (55, 1), (109, 1), (186, 1), (215, 1), (226, 1), (328, 1), (351, 1), (378, 1), (388, 1), (459, 1), (485, 1), (504, 1), (800, 1), (1129, 1), (1147, 1), (1729, 1), (1794, 1), (1795, 1), (1796, 1), (1797, 1), (1798, 1), (1799, 1), (1800, 1), (1801, 1), (1802, 1), (1803, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (31, 1), (50, 1), (65, 1), (428, 1), (450, 1), (632, 1), (697, 1), (1132, 1), (1804, 1), (1805, 1), (1806, 1), (1807, 1), (1808, 1), (1809, 1), (1810, 1), (1811, 1), (1812, 1), (1813, 1), (1814, 1)], [(8, 1), (20, 3), (25, 1), (30, 1), (37, 1), (53, 3), (65, 1), (117, 2), (185, 2), (220, 1), (232, 2), (281, 2), (301, 1), (307, 1), (310, 1), (459, 2), (516, 1), (627, 1), (660, 1), (706, 1), (1041, 1), (1102, 2), (1247, 1), (1559, 1), (1758, 1), (1761, 1), (1815, 1), (1816, 1), (1817, 1), (1818, 2), (1819, 1), (1820, 1), (1821, 1), (1822, 1), (1823, 1), (1824, 1)], [(18, 1), (20, 1), (21, 2), (31, 1), (50, 2), (53, 2), (65, 2), (77, 2), (82, 1), (96, 1), (99, 1), (108, 1), (247, 1), (269, 1), (328, 2), (338, 1), (399, 1), (414, 1), (420, 1), (680, 1), (1240, 1), (1678, 1), (1683, 1), (1825, 1), (1826, 1), (1827, 1), (1828, 1), (1829, 1), (1830, 1), (1831, 1), (1832, 1), (1833, 2), (1834, 1), (1835, 1), (1836, 1)], [(18, 1), (19, 1), (20, 1), (34, 1), (50, 1), (58, 1), (99, 1), (256, 1), (285, 1), (324, 1), (1240, 1), (1403, 1), (1714, 1), (1837, 1), (1838, 1), (1839, 1), (1840, 1), (1841, 1)], [(18, 2), (19, 2), (20, 4), (28, 1), (30, 1), (31, 1), (45, 1), (50, 2), (53, 1), (97, 1), (111, 1), (173, 1), (178, 1), (281, 1), (418, 1), (490, 1), (792, 1), (1595, 1), (1714, 1), (1842, 1), (1843, 1), (1844, 1), (1845, 1), (1846, 1), (1847, 1), (1848, 1), (1849, 1), (1850, 1), (1851, 1), (1852, 1), (1853, 1), (1854, 1), (1855, 1), (1856, 1), (1857, 1)], [(18, 1), (19, 2), (20, 1), (30, 1), (31, 1), (55, 1), (69, 1), (77, 1), (111, 1), (193, 1), (197, 1), (287, 1), (365, 1), (415, 1), (448, 1), (1342, 1), (1628, 1), (1714, 1), (1845, 1), (1858, 1), (1859, 1), (1860, 2), (1861, 2)], [(18, 2), (20, 2), (25, 1), (32, 1), (50, 2), (85, 1), (90, 1), (99, 2), (215, 1), (262, 1), (281, 1), (324, 2), (405, 1), (420, 1), (459, 1), (709, 1), (744, 1), (763, 2), (772, 1), (792, 1), (1488, 1), (1668, 1), (1714, 1), (1845, 1), (1862, 1), (1863, 1), (1864, 1), (1865, 1)], [(51, 1), (53, 2), (365, 1), (792, 1), (1714, 1), (1845, 1), (1866, 1), (1867, 1), (1868, 1)], [(18, 1), (20, 1), (25, 1), (50, 1), (53, 1), (58, 1), (229, 1), (691, 1), (792, 1), (1714, 1), (1845, 1), (1869, 1), (1870, 1), (1871, 1), (1872, 1), (1873, 1)], [(8, 1), (37, 1), (77, 1), (82, 1), (185, 1), (654, 1), (1874, 1), (1875, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (50, 2), (53, 3), (54, 1), (58, 1), (82, 1), (90, 1), (166, 1), (173, 2), (323, 1), (331, 1), (428, 1), (726, 1), (1702, 1), (1768, 1), (1875, 1), (1876, 1), (1877, 1), (1878, 1), (1879, 1), (1880, 1), (1881, 1), (1882, 1), (1883, 1), (1884, 1), (1885, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (34, 1), (37, 1), (90, 1), (301, 1), (419, 1), (922, 1), (1882, 1), (1886, 1), (1887, 1), (1888, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (37, 1), (50, 2), (53, 3), (58, 1), (77, 2), (122, 1), (185, 1), (505, 1), (1882, 1), (1889, 1), (1890, 1), (1891, 1)], [(8, 1), (18, 1), (19, 5), (20, 3), (23, 5), (25, 1), (31, 1), (40, 1), (50, 2), (53, 2), (58, 1), (71, 1), (82, 1), (90, 2), (172, 1), (215, 1), (242, 1), (261, 1), (265, 1), (273, 1), (287, 1), (346, 1), (365, 2), (410, 1), (420, 1), (777, 1), (1580, 1), (1632, 1), (1685, 1), (1764, 1), (1863, 1), (1892, 2), (1893, 1), (1894, 1), (1895, 1), (1896, 1), (1897, 1), (1898, 1)], [(8, 1), (18, 4), (19, 1), (20, 1), (25, 1), (31, 1), (58, 1), (77, 1), (99, 2), (172, 2), (203, 1), (215, 1), (256, 1), (286, 1), (287, 1), (1599, 2), (1822, 1), (1863, 1), (1899, 1), (1900, 1), (1901, 1)], [(8, 1), (18, 6), (19, 1), (20, 7), (21, 3), (22, 1), (23, 3), (40, 1), (50, 2), (65, 1), (82, 1), (111, 2), (117, 1), (215, 3), (242, 1), (265, 1), (268, 1), (287, 2), (289, 1), (365, 2), (387, 1), (759, 1), (812, 1), (904, 1), (1102, 1), (1615, 1), (1685, 2), (1799, 1), (1863, 1), (1901, 1), (1902, 1), (1903, 1), (1904, 1), (1905, 1), (1906, 1), (1907, 1), (1908, 1), (1909, 1), (1910, 1), (1911, 1), (1912, 1), (1913, 1), (1914, 1), (1915, 1)], [(8, 1), (19, 1), (23, 1), (25, 1), (50, 1), (53, 1), (91, 1), (323, 1), (516, 1), (744, 1), (834, 1), (1916, 1), (1917, 1), (1918, 1), (1919, 1)], [(8, 1), (20, 3), (23, 1), (25, 1), (37, 1), (50, 1), (189, 1), (197, 1), (286, 1), (795, 1), (1580, 1), (1596, 1), (1920, 1), (1921, 1), (1922, 1), (1923, 1), (1924, 1), (1925, 1)], [(8, 1), (19, 1), (20, 5), (23, 1), (25, 1), (50, 2), (77, 1), (82, 1), (88, 1), (96, 1), (122, 1), (215, 2), (289, 1), (355, 1), (581, 1), (654, 1), (1149, 1), (1685, 1), (1926, 1), (1927, 1), (1928, 2), (1929, 1), (1930, 1), (1931, 1)], [(8, 1), (18, 3), (19, 1), (20, 8), (21, 1), (23, 3), (25, 2), (31, 1), (50, 2), (63, 1), (65, 1), (77, 2), (82, 1), (90, 1), (108, 1), (124, 1), (190, 2), (215, 2), (221, 1), (268, 1), (269, 1), (273, 1), (323, 1), (328, 2), (331, 1), (414, 1), (709, 1), (776, 1), (812, 1), (813, 1), (827, 1), (833, 1), (886, 1), (1102, 2), (1363, 1), (1764, 1), (1824, 1), (1902, 1), (1918, 1), (1932, 1), (1933, 2), (1934, 1), (1935, 1), (1936, 1), (1937, 1), (1938, 2), (1939, 1), (1940, 1), (1941, 1), (1942, 1), (1943, 1), (1944, 1), (1945, 1), (1946, 1), (1947, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (34, 1), (50, 3), (51, 1), (53, 4), (65, 1), (77, 1), (85, 1), (90, 1), (99, 1), (122, 1), (281, 1), (446, 1), (450, 1), (670, 1), (692, 1), (834, 1), (1933, 1), (1948, 1), (1949, 1), (1950, 1), (1951, 1), (1952, 1), (1953, 1), (1954, 1), (1955, 1), (1956, 1), (1957, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (23, 2), (53, 3), (65, 1), (215, 1), (287, 2), (306, 1), (307, 1), (310, 1), (317, 2), (320, 1), (328, 1), (365, 1), (420, 1), (428, 1), (706, 1), (970, 1), (1165, 1), (1958, 1), (1959, 1), (1960, 1), (1961, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (31, 1), (109, 1), (410, 1), (448, 1), (506, 2), (516, 1), (711, 1), (885, 1), (902, 1), (1053, 1), (1294, 1), (1798, 1), (1962, 1), (1963, 1), (1964, 1), (1965, 2)], [(8, 1), (20, 1), (50, 1), (77, 1), (185, 1), (193, 1), (280, 1), (331, 1), (387, 1), (763, 1), (813, 1), (1966, 1)], [(8, 1), (20, 4), (31, 1), (50, 2), (51, 1), (53, 2), (99, 1), (111, 2), (117, 1), (122, 1), (232, 1), (269, 1), (405, 1), (504, 1), (531, 1), (702, 1), (1967, 1), (1968, 1), (1969, 1), (1970, 1), (1971, 1), (1972, 1), (1973, 1), (1974, 1), (1975, 1), (1976, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (37, 1), (50, 1), (53, 2), (58, 1), (65, 1), (75, 1), (99, 2), (124, 1), (172, 1), (215, 1), (217, 1), (316, 1), (324, 1), (331, 1), (428, 1), (445, 1), (504, 1), (800, 1), (833, 1), (1667, 1), (1731, 1), (1977, 1), (1978, 1), (1979, 1), (1980, 1), (1981, 1), (1982, 1), (1983, 1), (1984, 1)], [(8, 1), (18, 4), (19, 3), (20, 3), (23, 1), (24, 1), (25, 3), (50, 1), (53, 1), (58, 1), (77, 1), (99, 2), (109, 1), (269, 1), (276, 1), (941, 1), (1960, 1), (1982, 1), (1985, 1), (1986, 1), (1987, 1), (1988, 1), (1989, 1), (1990, 1), (1991, 1), (1992, 1), (1993, 1)], [(8, 1), (31, 1), (185, 1), (260, 1), (301, 1), (633, 1), (708, 1), (1342, 1)], [(18, 2), (19, 1), (20, 1), (25, 1), (50, 2), (51, 1), (53, 1), (58, 1), (65, 1), (310, 1), (365, 1), (448, 1), (504, 1), (506, 1), (596, 1), (1325, 1), (1615, 1), (1714, 1), (1994, 1), (1995, 1), (1996, 1), (1997, 1), (1998, 1)], [(19, 1), (20, 3), (23, 1), (31, 1), (50, 1), (53, 2), (90, 1), (596, 1), (1714, 1), (1747, 1), (1898, 1), (1999, 1), (2000, 1), (2001, 1), (2002, 1), (2003, 1), (2004, 1)], [(20, 1), (23, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 2), (90, 2), (99, 1), (302, 1), (342, 1), (506, 1), (823, 1), (1160, 1), (1336, 1), (1597, 1), (1714, 1), (1877, 1), (1945, 1), (1996, 1), (2005, 1), (2006, 1), (2007, 1), (2008, 1), (2009, 1)], [(18, 1), (117, 1), (759, 1), (1714, 1), (2010, 1), (2011, 1), (2012, 1)], [(8, 1), (90, 1), (506, 1), (1744, 1)], [(8, 1), (18, 1), (20, 6), (21, 2), (22, 2), (23, 1), (25, 4), (31, 2), (37, 2), (50, 2), (51, 1), (53, 4), (58, 1), (65, 2), (71, 1), (77, 4), (90, 3), (111, 2), (117, 1), (172, 1), (201, 2), (232, 1), (239, 1), (269, 1), (289, 1), (293, 1), (365, 1), (410, 2), (415, 2), (506, 2), (697, 2), (711, 1), (743, 1), (830, 2), (897, 1), (902, 1), (922, 1), (970, 1), (974, 1), (1122, 1), (1129, 1), (1287, 1), (1354, 1), (1723, 1), (1775, 1), (2013, 1), (2014, 1), (2015, 1), (2016, 1), (2017, 1), (2018, 1), (2019, 1), (2020, 1), (2021, 1), (2022, 1), (2023, 1), (2024, 1), (2025, 1), (2026, 2), (2027, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (23, 2), (40, 1), (50, 2), (90, 1), (108, 1), (215, 1), (287, 1), (365, 1), (489, 1), (506, 1), (586, 1), (711, 2), (812, 1), (885, 1), (1287, 1), (1580, 1), (1877, 1), (1912, 1), (1960, 1), (2028, 1), (2029, 1), (2030, 1), (2031, 1), (2032, 1), (2033, 1), (2034, 1)], [(8, 1), (20, 1), (53, 1), (203, 1), (904, 1), (1549, 1), (1912, 1), (2031, 1), (2035, 1)], [(8, 1), (25, 1), (31, 1), (37, 1), (53, 2), (56, 1), (77, 1), (328, 1), (331, 1), (827, 1), (2032, 1), (2036, 1), (2037, 1), (2038, 1)], [(8, 1), (24, 1), (50, 1), (53, 2), (77, 1), (90, 1), (281, 1), (407, 1), (418, 1), (434, 1), (1499, 1), (2032, 1), (2039, 1), (2040, 1), (2041, 1), (2042, 1), (2043, 1), (2044, 1)], [(55, 1), (58, 1), (96, 1), (190, 1), (301, 1), (873, 1), (1714, 1), (1932, 1), (2045, 1), (2046, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (24, 1), (25, 1), (37, 1), (50, 1), (53, 1), (55, 1), (71, 1), (77, 1), (90, 2), (97, 1), (268, 1), (293, 1), (414, 1), (419, 1), (480, 1), (581, 1), (645, 2), (1001, 1), (1539, 1), (1595, 2), (1607, 1), (2047, 1), (2048, 1), (2049, 1), (2050, 1), (2051, 1), (2052, 1), (2053, 1), (2054, 1), (2055, 1), (2056, 1), (2057, 1)], [(247, 1), (2058, 1)], [(19, 1), (247, 1), (288, 1), (419, 1), (1887, 1), (2059, 1), (2060, 1), (2061, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (25, 1), (50, 2), (53, 2), (65, 1), (215, 1), (287, 1), (365, 1), (1010, 1), (1877, 1), (1960, 1), (2029, 1), (2062, 1), (2063, 1), (2064, 1), (2065, 1), (2066, 1), (2067, 1), (2068, 1)], [(8, 1), (10, 1), (20, 2), (31, 1), (45, 1), (53, 6), (56, 1), (65, 1), (75, 1), (77, 1), (90, 1), (99, 1), (108, 1), (109, 2), (124, 1), (185, 1), (193, 1), (214, 1), (215, 1), (286, 1), (293, 1), (407, 1), (414, 2), (504, 1), (706, 1), (782, 1), (812, 1), (833, 1), (1348, 1), (1596, 1), (1813, 2), (1905, 1), (1958, 1), (2064, 1), (2069, 1), (2070, 1), (2071, 1), (2072, 1), (2073, 1), (2074, 1), (2075, 1), (2076, 1), (2077, 1), (2078, 1)], [(8, 1), (22, 1), (36, 1), (58, 1), (82, 1), (173, 1), (256, 1), (293, 1), (763, 1), (2009, 1), (2079, 1)], [(8, 1), (20, 1), (31, 1), (53, 4), (58, 1), (90, 1), (193, 1), (228, 1), (289, 1), (359, 1), (415, 1), (450, 1), (487, 1), (697, 1), (884, 1), (922, 2), (1304, 1), (1342, 1), (1685, 1), (2080, 1), (2081, 2), (2082, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (21, 1), (22, 1), (23, 1), (25, 2), (31, 1), (32, 1), (50, 2), (53, 4), (54, 1), (58, 2), (88, 1), (90, 1), (161, 1), (173, 1), (185, 1), (215, 1), (225, 1), (269, 1), (287, 1), (301, 1), (323, 1), (337, 1), (365, 1), (414, 1), (428, 1), (448, 1), (506, 3), (581, 1), (697, 1), (706, 1), (743, 1), (833, 1), (1296, 1), (1488, 1), (1498, 1), (1580, 1), (1943, 1), (1960, 1), (2016, 1), (2083, 1), (2084, 1), (2085, 1), (2086, 1), (2087, 1), (2088, 1), (2089, 1), (2090, 1), (2091, 1), (2092, 1), (2093, 1), (2094, 1), (2095, 1), (2096, 1), (2097, 1)], [(8, 1), (18, 1), (20, 3), (50, 2), (53, 1), (54, 1), (90, 1), (174, 1), (185, 1), (186, 1), (331, 1), (414, 1), (879, 1), (1130, 1), (1157, 1), (1342, 1), (1488, 1), (1580, 1), (1596, 1), (1764, 1), (2096, 1), (2098, 1), (2099, 1), (2100, 1), (2101, 1)], [(8, 1), (18, 1), (25, 1), (31, 1), (50, 1), (122, 1), (124, 1), (215, 1), (426, 1), (813, 1), (2036, 1), (2102, 1), (2103, 1), (2104, 1), (2105, 1), (2106, 1)], [(23, 1), (50, 1), (53, 1), (58, 1), (88, 1), (90, 1), (172, 1), (185, 2), (203, 1), (392, 1), (516, 1), (742, 1), (1596, 1), (1901, 1), (2107, 1)], [(8, 1), (64, 1), (439, 2), (493, 1), (522, 1), (2108, 1), (2109, 1), (2110, 1), (2111, 1), (2112, 1), (2113, 1)], [(8, 1), (64, 1), (466, 1), (781, 1), (1031, 1), (1318, 1), (2114, 1)], [(64, 1), (66, 1), (634, 1), (716, 1), (2115, 1), (2116, 1)], [(8, 1), (18, 3), (19, 2), (20, 9), (21, 1), (22, 1), (23, 6), (25, 5), (31, 3), (32, 1), (34, 1), (37, 1), (50, 1), (53, 5), (54, 3), (58, 2), (83, 1), (90, 3), (97, 1), (108, 2), (109, 1), (185, 2), (229, 1), (310, 2), (342, 1), (372, 1), (410, 1), (420, 1), (428, 2), (459, 1), (506, 4), (581, 1), (753, 2), (792, 1), (827, 1), (834, 1), (884, 1), (1012, 1), (1072, 2), (1102, 1), (1188, 1), (1485, 1), (1487, 1), (1488, 1), (1580, 1), (1596, 2), (1824, 1), (2083, 1), (2096, 1), (2117, 1), (2118, 1), (2119, 1), (2120, 1), (2121, 1), (2122, 1), (2123, 1), (2124, 1), (2125, 1), (2126, 1), (2127, 2), (2128, 1), (2129, 1), (2130, 1), (2131, 1), (2132, 1), (2133, 1), (2134, 1), (2135, 1), (2136, 1), (2137, 3), (2138, 1), (2139, 1), (2140, 1), (2141, 1), (2142, 1), (2143, 1), (2144, 1), (2145, 2), (2146, 1), (2147, 1), (2148, 1), (2149, 2)], [(8, 1), (50, 1), (53, 2), (54, 1), (95, 1), (206, 1), (334, 1), (399, 1), (1377, 1), (2136, 1), (2150, 1), (2151, 1), (2152, 1)], [(8, 1), (18, 1), (25, 1), (37, 1), (381, 1), (1092, 1), (1276, 1), (1580, 1), (2153, 1), (2154, 1), (2155, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 2), (25, 2), (37, 1), (45, 1), (50, 2), (53, 4), (55, 1), (95, 1), (173, 1), (206, 1), (506, 1), (518, 1), (525, 1), (1139, 1), (1177, 1), (1365, 1), (1403, 1), (1580, 1), (1807, 1), (2156, 1), (2157, 1), (2158, 1), (2159, 1), (2160, 1), (2161, 1), (2162, 1), (2163, 1), (2164, 1), (2165, 1), (2166, 1), (2167, 1), (2168, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (55, 1), (82, 1), (108, 2), (172, 1), (215, 1), (217, 1), (242, 1), (256, 1), (285, 1), (415, 1), (487, 2), (506, 1), (531, 1), (600, 1), (744, 1), (1068, 1), (1499, 1), (2169, 1), (2170, 1), (2171, 1), (2172, 1), (2173, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (405, 1), (414, 1), (518, 1), (752, 1), (1161, 1), (2174, 1), (2175, 1), (2176, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (21, 2), (23, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 2), (55, 2), (58, 2), (71, 2), (77, 2), (96, 1), (166, 1), (240, 1), (242, 1), (256, 1), (269, 1), (285, 1), (414, 1), (498, 1), (506, 1), (605, 1), (711, 1), (1118, 1), (1702, 1), (2177, 1), (2178, 1), (2179, 1), (2180, 1), (2181, 1), (2182, 1), (2183, 1), (2184, 1), (2185, 1), (2186, 1), (2187, 1)], [(8, 1), (18, 1), (19, 1), (20, 9), (22, 1), (25, 3), (31, 2), (37, 1), (50, 4), (53, 6), (54, 1), (56, 1), (65, 2), (90, 1), (91, 1), (95, 1), (206, 1), (269, 1), (328, 1), (334, 1), (407, 1), (418, 2), (428, 1), (430, 1), (487, 1), (506, 1), (516, 1), (639, 1), (897, 1), (1010, 1), (1130, 1), (1132, 1), (1488, 1), (1580, 2), (1588, 1), (1628, 1), (1890, 1), (2096, 1), (2168, 1), (2188, 1), (2189, 1), (2190, 1), (2191, 1), (2192, 1), (2193, 1), (2194, 1), (2195, 1), (2196, 1), (2197, 1), (2198, 1), (2199, 1), (2200, 1), (2201, 1), (2202, 1)], [(1544, 1), (2203, 1)], [(8, 1), (24, 1), (65, 1), (2204, 1), (2205, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 2), (51, 1), (53, 1), (58, 1), (65, 1), (108, 1), (111, 1), (418, 1), (428, 1), (866, 1), (1069, 1), (1155, 1), (1487, 1), (1580, 2), (2206, 1), (2207, 1), (2208, 1), (2209, 1), (2210, 1), (2211, 1), (2212, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (50, 1), (51, 1), (53, 1), (1647, 1), (1999, 1), (2178, 1), (2213, 1), (2214, 1), (2215, 1), (2216, 1), (2217, 1)], [(8, 1), (18, 1), (31, 1), (54, 1), (122, 1), (1224, 1), (2218, 1), (2219, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (50, 1), (53, 2), (54, 1), (90, 3), (108, 1), (268, 1), (281, 1), (285, 1), (347, 1), (697, 1), (884, 1), (1057, 1), (1361, 1), (1811, 1), (2184, 1), (2220, 1), (2221, 1), (2222, 1), (2223, 1), (2224, 1), (2225, 1), (2226, 1), (2227, 1), (2228, 1)], [(8, 1), (19, 1), (20, 4), (23, 1), (25, 1), (50, 2), (53, 1), (58, 1), (71, 1), (90, 1), (108, 2), (185, 1), (193, 1), (209, 1), (215, 1), (240, 1), (268, 1), (269, 1), (290, 1), (293, 1), (347, 1), (407, 1), (414, 1), (450, 1), (830, 1), (922, 1), (1488, 1), (1682, 1), (1999, 1), (2096, 1), (2151, 1), (2213, 1), (2229, 1), (2230, 1), (2231, 1), (2232, 1), (2233, 1), (2234, 1), (2235, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (31, 1), (51, 1), (54, 2), (55, 1), (90, 1), (97, 1), (186, 1), (268, 1), (286, 1), (328, 1), (353, 1), (410, 1), (415, 1), (506, 1), (752, 1), (833, 1), (1260, 1), (1361, 1), (1365, 1), (1580, 1), (1594, 1), (1877, 1), (1901, 1), (2236, 1), (2237, 1), (2238, 1), (2239, 1), (2240, 1), (2241, 1), (2242, 1)], [(8, 1), (20, 2), (21, 1), (25, 1), (31, 1), (32, 1), (50, 3), (51, 1), (53, 4), (54, 2), (77, 1), (95, 1), (178, 1), (185, 2), (217, 1), (225, 1), (289, 1), (334, 1), (686, 1), (763, 1), (893, 1), (959, 1), (1102, 2), (1139, 1), (1159, 2), (1196, 1), (1282, 1), (1361, 2), (1517, 1), (1824, 1), (1902, 1), (1903, 1), (1999, 1), (2096, 1), (2184, 1), (2213, 1), (2243, 1), (2244, 1), (2245, 1), (2246, 1), (2247, 1), (2248, 1)], [(19, 2), (20, 2), (31, 1), (53, 2), (65, 1), (85, 1), (109, 1), (210, 1), (256, 1), (691, 1), (763, 1), (792, 1), (834, 1), (1323, 1), (1361, 1), (1471, 1), (1714, 1), (2016, 1), (2249, 1), (2250, 1), (2251, 1), (2252, 1), (2253, 1), (2254, 1)], [(18, 1), (19, 3), (20, 4), (21, 2), (31, 1), (53, 3), (55, 1), (90, 1), (109, 2), (187, 1), (193, 1), (256, 1), (278, 1), (293, 1), (331, 1), (378, 1), (420, 1), (459, 1), (711, 1), (763, 1), (792, 1), (884, 1), (902, 1), (1139, 1), (1361, 1), (1445, 1), (1558, 1), (1714, 1), (1732, 1), (1884, 1), (1966, 1), (2140, 1), (2255, 1), (2256, 1), (2257, 1), (2258, 1), (2259, 1), (2260, 1), (2261, 1), (2262, 1), (2263, 1), (2264, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (23, 2), (25, 2), (31, 1), (50, 1), (54, 1), (58, 1), (108, 1), (166, 1), (307, 1), (346, 1), (361, 1), (506, 1), (1139, 1), (1196, 1), (1224, 2), (1498, 1), (1580, 1), (1702, 1), (1799, 1), (1999, 1), (2213, 1), (2224, 1), (2231, 1), (2265, 1), (2266, 1), (2267, 1), (2268, 1), (2269, 1), (2270, 1), (2271, 1), (2272, 1)], [(8, 1), (18, 2), (20, 3), (25, 2), (54, 1), (65, 1), (122, 1), (452, 2), (1224, 1), (1695, 1), (2273, 1), (2274, 1), (2275, 1), (2276, 1), (2277, 1), (2278, 1), (2279, 1)], [(8, 1), (23, 1), (31, 1), (53, 1), (268, 1), (269, 1), (1644, 1), (2184, 1)], [(8, 1), (18, 2), (19, 3), (20, 9), (21, 1), (23, 3), (25, 3), (31, 2), (50, 2), (53, 7), (55, 1), (71, 2), (99, 2), (108, 1), (117, 1), (184, 1), (186, 1), (215, 1), (233, 1), (241, 1), (278, 1), (287, 1), (324, 1), (347, 1), (433, 2), (443, 1), (759, 1), (830, 1), (1056, 1), (1068, 1), (1149, 1), (1224, 1), (1308, 1), (1520, 1), (1541, 1), (1580, 3), (1593, 2), (1597, 1), (1740, 1), (1855, 1), (1907, 1), (1932, 1), (2208, 1), (2280, 1), (2281, 1), (2282, 1), (2283, 1), (2284, 1), (2285, 1), (2286, 1), (2287, 1), (2288, 1), (2289, 1), (2290, 1), (2291, 1), (2292, 1), (2293, 1), (2294, 1), (2295, 1), (2296, 1), (2297, 2), (2298, 1)], [(8, 1), (20, 1), (23, 1), (24, 1), (25, 2), (50, 1), (53, 2), (58, 1), (64, 1), (256, 1), (278, 1), (328, 1), (1068, 1), (1657, 1), (2019, 1), (2132, 1), (2299, 1), (2300, 1), (2301, 1), (2302, 1), (2303, 1), (2304, 1), (2305, 1), (2306, 1), (2307, 1)], [(8, 1), (18, 2), (19, 1), (20, 7), (23, 1), (25, 1), (31, 2), (50, 2), (53, 7), (58, 1), (64, 1), (65, 1), (90, 1), (108, 2), (109, 3), (172, 1), (305, 1), (307, 1), (328, 1), (407, 1), (414, 1), (420, 1), (426, 1), (459, 1), (506, 1), (744, 1), (903, 1), (1163, 1), (1219, 1), (1477, 1), (1580, 2), (1760, 1), (1877, 1), (1932, 1), (1964, 1), (2016, 1), (2198, 1), (2308, 1), (2309, 1), (2310, 1), (2311, 1), (2312, 1), (2313, 1), (2314, 1), (2315, 1), (2316, 1), (2317, 1), (2318, 1), (2319, 1), (2320, 2), (2321, 1), (2322, 1), (2323, 1), (2324, 1), (2325, 1), (2326, 1), (2327, 1), (2328, 1), (2329, 1), (2330, 1), (2331, 1), (2332, 1), (2333, 1), (2334, 1), (2335, 1), (2336, 1), (2337, 1), (2338, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (25, 2), (31, 1), (50, 1), (53, 4), (184, 1), (236, 1), (264, 1), (269, 1), (388, 1), (809, 1), (1416, 1), (1458, 1), (1624, 1), (2132, 1), (2165, 1), (2302, 1), (2339, 1), (2340, 1), (2341, 1), (2342, 1), (2343, 1)], [(20, 2), (22, 1), (23, 1), (99, 1), (117, 1), (193, 1), (233, 1), (287, 1), (301, 1), (414, 1), (759, 1), (809, 1), (1593, 1), (1714, 1), (1907, 1), (2344, 1)], [(8, 1), (22, 1), (53, 2), (109, 1), (214, 1), (307, 1), (324, 1), (697, 1), (1324, 1), (1615, 1), (2313, 1), (2345, 1), (2346, 1), (2347, 1)], [(8, 1), (23, 1), (241, 1), (414, 1), (2348, 1)], [(7, 1), (8, 1), (20, 4), (23, 1), (32, 1), (53, 3), (82, 1), (90, 1), (108, 1), (328, 1), (459, 1), (504, 1), (506, 1), (879, 1), (1657, 1), (1658, 1), (2349, 1), (2350, 1), (2351, 1), (2352, 1), (2353, 1), (2354, 1)], [(247, 1), (1657, 1), (2153, 1), (2285, 1)], [(8, 1), (18, 3), (20, 4), (25, 2), (31, 1), (50, 1), (75, 1), (82, 1), (226, 1), (328, 1), (410, 1), (414, 1), (516, 1), (673, 1), (974, 1), (1951, 1), (2355, 1), (2356, 1), (2357, 2), (2358, 1)], [(8, 1), (20, 2), (37, 1), (50, 4), (53, 4), (90, 1), (185, 1), (256, 1), (361, 1), (1224, 1), (1691, 1), (1713, 1), (2075, 1), (2344, 1), (2359, 1), (2360, 1), (2361, 1), (2362, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (23, 1), (50, 1), (53, 1), (97, 1), (109, 1), (301, 1), (426, 1), (430, 1), (1270, 1), (2296, 1), (2345, 1), (2363, 1), (2364, 1), (2365, 1), (2366, 1), (2367, 1), (2368, 1), (2369, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (31, 1), (50, 1), (53, 4), (54, 1), (58, 1), (65, 1), (108, 1), (122, 1), (215, 1), (293, 1), (347, 1), (387, 1), (459, 1), (504, 1), (531, 1), (763, 1), (777, 1), (792, 1), (1170, 1), (2370, 1), (2371, 1), (2372, 1), (2373, 1), (2374, 1), (2375, 1), (2376, 1), (2377, 1), (2378, 1)], [(247, 1), (2379, 1)], [(20, 4), (23, 1), (53, 1), (69, 1), (90, 1), (109, 1), (206, 1), (214, 1), (215, 1), (236, 1), (506, 1), (1257, 1), (1647, 1), (1714, 1), (2380, 1), (2381, 1), (2382, 1), (2383, 1), (2384, 1), (2385, 1)], [(24, 2), (25, 1), (64, 2), (65, 1), (301, 1), (946, 1), (1163, 1), (2300, 1), (2301, 1), (2308, 1), (2311, 1)], [(20, 1), (21, 1), (24, 1), (50, 1), (53, 1), (64, 1), (66, 1), (71, 1), (185, 1), (203, 1), (897, 1), (1899, 1), (2306, 1), (2386, 1)], [(8, 1), (18, 2), (20, 3), (23, 1), (25, 2), (186, 1), (388, 1), (414, 1), (824, 1), (1149, 1), (2077, 1), (2345, 1), (2387, 1), (2388, 1), (2389, 1), (2390, 1), (2391, 1), (2392, 1), (2393, 1)], [(8, 1), (31, 1), (53, 1), (122, 1), (334, 1), (903, 1), (2394, 1), (2395, 1), (2396, 1), (2397, 1)], [(8, 1), (18, 3), (19, 1), (20, 1), (22, 1), (25, 1), (31, 2), (50, 1), (54, 1), (126, 1), (164, 1), (425, 1), (450, 1), (828, 1), (1122, 1), (2398, 1), (2399, 1), (2400, 1), (2401, 2), (2402, 1), (2403, 1), (2404, 1), (2405, 1), (2406, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 4), (50, 1), (53, 3), (54, 2), (65, 1), (117, 1), (122, 1), (232, 1), (328, 1), (410, 1), (449, 1), (2283, 1), (2355, 1), (2407, 1), (2408, 1), (2409, 1), (2410, 1), (2411, 1), (2412, 1), (2413, 1)], [(20, 4), (23, 1), (24, 1), (50, 1), (53, 1), (85, 1), (117, 1), (193, 1), (1562, 1), (1593, 1), (2306, 1), (2379, 1), (2386, 1), (2414, 1), (2415, 1), (2416, 1), (2417, 1)], [(18, 5), (19, 1), (20, 5), (22, 1), (23, 1), (24, 1), (25, 3), (31, 1), (50, 2), (53, 3), (55, 1), (58, 1), (66, 1), (82, 1), (109, 1), (186, 1), (193, 1), (206, 1), (281, 1), (414, 1), (426, 1), (726, 1), (777, 1), (778, 1), (813, 1), (1010, 1), (1198, 1), (1348, 1), (1695, 1), (1720, 1), (2030, 1), (2306, 1), (2310, 1), (2344, 1), (2345, 1), (2365, 1), (2418, 1), (2419, 1), (2420, 1), (2421, 1), (2422, 1), (2423, 1), (2424, 1), (2425, 1), (2426, 1), (2427, 1), (2428, 1), (2429, 1), (2430, 1), (2431, 1), (2432, 1), (2433, 1), (2434, 1), (2435, 1), (2436, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (90, 1), (236, 1), (1597, 1), (1683, 2), (2419, 1), (2422, 1), (2437, 1), (2438, 1), (2439, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 1), (31, 1), (58, 1), (77, 2), (81, 1), (109, 1), (185, 1), (226, 1), (273, 1), (301, 1), (328, 1), (531, 1), (711, 1), (1361, 1), (2421, 1), (2440, 1), (2441, 1), (2442, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (23, 1), (25, 4), (50, 3), (53, 8), (54, 1), (58, 2), (65, 1), (90, 1), (108, 2), (109, 1), (172, 1), (209, 1), (215, 2), (217, 1), (226, 2), (236, 1), (293, 1), (347, 1), (448, 1), (452, 1), (454, 1), (504, 1), (601, 1), (813, 1), (884, 1), (1342, 1), (1392, 1), (1966, 1), (2184, 1), (2304, 3), (2306, 1), (2321, 1), (2365, 1), (2424, 1), (2433, 1), (2443, 1), (2444, 1), (2445, 1), (2446, 1), (2447, 1), (2448, 1), (2449, 1), (2450, 1), (2451, 1), (2452, 1), (2453, 1), (2454, 1), (2455, 1), (2456, 1), (2457, 1)], [(8, 1), (18, 2), (20, 2), (21, 1), (25, 1), (50, 1), (51, 1), (52, 1), (54, 1), (58, 1), (65, 1), (122, 1), (215, 1), (269, 1), (459, 1), (632, 1), (777, 1), (813, 1), (1694, 1), (1854, 1), (2184, 1), (2321, 1), (2458, 1), (2459, 1), (2460, 1)], [(8, 1), (18, 2), (20, 1), (40, 1), (58, 1), (90, 1), (117, 1), (122, 1), (178, 1), (186, 1), (232, 1), (410, 1), (414, 1), (754, 1), (792, 1), (833, 1), (1139, 1), (2239, 1), (2296, 1), (2461, 1), (2462, 1), (2463, 1), (2464, 1), (2465, 1), (2466, 1), (2467, 1), (2468, 1), (2469, 1), (2470, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (45, 1), (53, 1), (55, 1), (65, 1), (77, 1), (108, 1), (161, 1), (269, 1), (414, 1), (678, 1), (704, 1), (1638, 1), (2461, 1), (2471, 1), (2472, 1), (2473, 1), (2474, 1), (2475, 1), (2476, 1), (2477, 1)], [(18, 2), (20, 4), (21, 1), (23, 1), (25, 1), (37, 1), (50, 3), (51, 1), (53, 6), (58, 3), (64, 1), (66, 1), (72, 1), (77, 3), (80, 1), (85, 1), (90, 2), (97, 1), (109, 2), (111, 1), (193, 1), (246, 1), (357, 2), (359, 1), (414, 2), (432, 1), (490, 2), (531, 1), (662, 1), (754, 1), (1139, 2), (1163, 1), (1198, 1), (1308, 2), (2037, 1), (2053, 1), (2319, 2), (2461, 1), (2468, 1), (2478, 1), (2479, 1), (2480, 1), (2481, 1), (2482, 1), (2483, 1), (2484, 1), (2485, 1), (2486, 1), (2487, 1), (2488, 1), (2489, 1), (2490, 1), (2491, 1), (2492, 2), (2493, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (23, 1), (51, 1), (65, 1), (79, 1), (185, 1), (215, 1), (236, 1), (240, 1), (357, 1), (1043, 1), (1294, 1), (1366, 1), (1580, 1), (1594, 1), (1966, 1), (2401, 1), (2494, 1)], [(8, 1), (20, 2), (25, 1), (26, 1), (50, 1), (53, 1), (77, 1), (185, 1), (206, 1), (214, 1), (261, 1), (1778, 1), (2321, 1), (2338, 1), (2495, 1)], [(8, 1), (18, 2), (20, 1), (25, 3), (31, 1), (53, 2), (117, 1), (186, 1), (226, 1), (328, 1), (596, 1), (711, 1), (759, 1), (884, 1), (1102, 1), (2234, 1), (2496, 1), (2497, 1), (2498, 1), (2499, 1), (2500, 1), (2501, 1)], [(8, 1), (19, 1), (32, 1), (58, 1), (117, 1), (161, 1), (232, 1), (278, 1), (301, 1), (885, 1), (1282, 1), (2502, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (24, 1), (25, 1), (53, 2), (77, 2), (414, 1), (459, 1), (609, 1), (708, 1), (1157, 1), (2444, 1), (2503, 1), (2504, 1), (2505, 1), (2506, 1), (2507, 1)], [(8, 1), (18, 1), (20, 5), (25, 3), (45, 5), (53, 2), (55, 2), (65, 1), (82, 1), (85, 1), (90, 1), (108, 1), (173, 1), (186, 1), (285, 1), (305, 1), (328, 1), (382, 1), (428, 1), (449, 1), (601, 1), (708, 1), (1824, 1), (2140, 1), (2461, 1), (2468, 1), (2479, 1), (2508, 1), (2509, 1), (2510, 1), (2511, 1), (2512, 1), (2513, 1), (2514, 1), (2515, 1), (2516, 1), (2517, 1), (2518, 1), (2519, 1), (2520, 1), (2521, 1)], [(247, 1), (2461, 1)], [(11, 1), (18, 1), (20, 2), (31, 1), (45, 1), (51, 1), (173, 1), (247, 1), (269, 1), (347, 1), (638, 1), (2332, 1), (2490, 1), (2522, 1), (2523, 1), (2524, 2), (2525, 1), (2526, 1), (2527, 1)], [(18, 1), (22, 2), (96, 1), (247, 1), (288, 1), (596, 1), (1224, 1), (2241, 1), (2528, 1), (2529, 1), (2530, 1), (2531, 1), (2532, 1)], [(8, 1), (22, 1), (50, 3), (53, 1), (55, 1), (91, 1), (229, 2), (316, 1), (450, 1), (496, 1), (506, 1), (691, 1), (1580, 2), (2169, 1), (2533, 1), (2534, 1), (2535, 1), (2536, 1), (2537, 1), (2538, 2), (2539, 1)], [(96, 1), (301, 1), (1714, 1), (2009, 1), (2508, 1)], [(7, 1), (19, 1), (45, 1), (53, 1), (91, 1), (173, 1), (186, 1), (282, 1), (1130, 1), (1354, 1), (1714, 1), (1806, 1), (2531, 1), (2532, 1), (2540, 1), (2541, 1)], [(31, 1), (71, 1), (82, 1), (226, 1), (299, 1), (833, 1), (1714, 1), (1964, 1), (2508, 1), (2542, 1)], [(20, 1), (22, 1), (30, 1), (50, 1), (53, 2), (82, 1), (173, 1), (247, 1), (295, 1), (299, 1), (310, 1), (1239, 1), (1348, 1), (1964, 1), (2324, 1), (2543, 1), (2544, 1), (2545, 1), (2546, 1), (2547, 1)], [(19, 2), (20, 1), (31, 1), (53, 1), (85, 1), (185, 1), (287, 1), (310, 1), (902, 1), (1392, 1), (1714, 1), (2319, 1), (2515, 1), (2548, 1), (2549, 1)], [(8, 1), (19, 1), (20, 2), (50, 2), (53, 3), (71, 1), (77, 1), (90, 2), (124, 1), (185, 1), (269, 1), (307, 1), (328, 1), (346, 1), (414, 1), (531, 1), (694, 1), (743, 2), (833, 1), (959, 1), (2345, 1), (2508, 1), (2513, 1), (2522, 1), (2550, 1), (2551, 1), (2552, 1), (2553, 1)], [(8, 1), (18, 3), (20, 3), (25, 1), (31, 1), (50, 3), (53, 1), (173, 2), (277, 1), (278, 1), (353, 1), (516, 1), (531, 1), (827, 1), (1308, 1), (1377, 1), (1571, 1), (1742, 1), (1819, 1), (2322, 1), (2522, 1), (2554, 1), (2555, 1), (2556, 1), (2557, 1), (2558, 1), (2559, 1), (2560, 1), (2561, 1), (2562, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (32, 1), (50, 2), (65, 1), (77, 1), (90, 1), (124, 1), (185, 1), (214, 1), (268, 1), (301, 1), (328, 1), (419, 1), (702, 1), (1764, 1), (1824, 1), (2096, 1), (2563, 1), (2564, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (34, 1), (50, 1), (53, 1), (64, 2), (71, 1), (84, 1), (96, 1), (109, 1), (185, 1), (434, 1), (496, 1), (704, 1), (813, 1), (830, 1), (2184, 1), (2322, 1), (2422, 1), (2565, 1), (2566, 1)], [(1544, 1), (2567, 1)], [(8, 1), (24, 1), (65, 1), (2310, 1), (2422, 1)], [(8, 1), (18, 1), (20, 4), (31, 1), (50, 2), (51, 2), (53, 1), (55, 1), (65, 3), (90, 1), (99, 1), (269, 1), (448, 1), (894, 1), (1270, 1), (1693, 1), (1865, 1), (2239, 1), (2310, 1), (2366, 1), (2422, 1), (2458, 1), (2459, 1), (2568, 1), (2569, 1), (2570, 1), (2571, 1), (2572, 1), (2573, 1), (2574, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 5), (25, 3), (31, 1), (50, 3), (53, 2), (54, 1), (58, 3), (90, 2), (97, 1), (99, 2), (161, 1), (166, 1), (193, 1), (197, 1), (269, 1), (293, 1), (452, 1), (531, 1), (632, 1), (697, 2), (829, 1), (1041, 1), (1308, 1), (1549, 1), (2196, 1), (2575, 1), (2576, 1), (2577, 1), (2578, 1), (2579, 1), (2580, 1), (2581, 1), (2582, 1), (2583, 1), (2584, 1), (2585, 1), (2586, 1), (2587, 1), (2588, 1), (2589, 1), (2590, 1), (2591, 1), (2592, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 2), (53, 2), (69, 1), (90, 1), (99, 1), (193, 1), (236, 1), (347, 1), (375, 1), (448, 1), (763, 1), (1342, 1), (1782, 1), (1999, 1), (2095, 1), (2153, 1), (2235, 1), (2593, 1), (2594, 1), (2595, 1), (2596, 1), (2597, 1), (2598, 1), (2599, 1), (2600, 1), (2601, 1)], [(7, 2), (8, 1), (19, 1), (20, 5), (25, 3), (50, 2), (53, 4), (71, 1), (82, 1), (90, 1), (99, 1), (193, 1), (201, 1), (253, 1), (289, 1), (301, 1), (430, 1), (433, 1), (531, 1), (601, 1), (626, 1), (702, 1), (744, 1), (884, 1), (1613, 1), (2151, 1), (2168, 1), (2344, 1), (2492, 1), (2570, 1), (2602, 1), (2603, 1), (2604, 1), (2605, 1), (2606, 1), (2607, 1), (2608, 1), (2609, 1), (2610, 1)], [(8, 1), (18, 2), (20, 5), (25, 1), (31, 2), (50, 2), (53, 2), (54, 1), (96, 1), (99, 1), (174, 1), (301, 1), (407, 1), (705, 1), (777, 1), (1248, 1), (1526, 1), (1806, 1), (1816, 1), (1901, 1), (2154, 1), (2161, 1), (2401, 1), (2424, 1), (2611, 1), (2612, 1), (2613, 1), (2614, 1), (2615, 1), (2616, 1), (2617, 1), (2618, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (126, 1), (645, 1), (1816, 1), (1966, 1), (2619, 1), (2620, 1), (2621, 1), (2622, 1), (2623, 1), (2624, 1), (2625, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (50, 1), (54, 1), (55, 1), (58, 2), (65, 1), (85, 1), (90, 2), (96, 1), (99, 2), (169, 1), (328, 1), (410, 1), (531, 1), (813, 1), (1057, 1), (1350, 1), (1620, 1), (1742, 1), (1865, 1), (2053, 1), (2354, 1), (2374, 1), (2430, 1), (2626, 1), (2627, 1), (2628, 1), (2629, 1), (2630, 1), (2631, 1), (2632, 1)], [(8, 1), (18, 4), (20, 3), (25, 1), (31, 1), (50, 3), (53, 5), (65, 1), (92, 1), (99, 1), (117, 5), (122, 5), (186, 1), (232, 5), (256, 1), (285, 1), (395, 1), (404, 1), (560, 1), (660, 1), (1219, 1), (1585, 1), (2151, 1), (2394, 1), (2633, 5), (2634, 1), (2635, 1), (2636, 1), (2637, 1), (2638, 1), (2639, 1), (2640, 1), (2641, 1), (2642, 1), (2643, 1), (2644, 1), (2645, 1), (2646, 1), (2647, 1), (2648, 1), (2649, 1), (2650, 1)], [(8, 1), (19, 1), (31, 1), (37, 1), (53, 1), (90, 1), (117, 1), (193, 1), (206, 1), (232, 1), (269, 1), (301, 1), (1816, 1), (1901, 1), (2154, 1), (2344, 1), (2651, 1), (2652, 1), (2653, 1)], [(8, 1), (20, 1), (25, 1), (37, 1), (53, 1), (85, 1), (459, 1), (776, 1), (894, 1), (2654, 1), (2655, 1), (2656, 1)], [(18, 2), (19, 1), (22, 1), (58, 1), (74, 1), (82, 1), (301, 1), (1714, 1), (1747, 1), (1988, 1), (2234, 1), (2657, 1), (2658, 1), (2659, 1)], [(53, 1), (260, 1), (334, 1), (1377, 1), (1714, 1), (2660, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (50, 2), (53, 3), (55, 1), (117, 1), (185, 1), (228, 1), (229, 1), (232, 1), (281, 2), (283, 1), (359, 1), (392, 1), (903, 1), (1136, 1), (1580, 1), (1782, 1), (2262, 1), (2661, 1), (2662, 1), (2663, 1), (2664, 1), (2665, 1), (2666, 1), (2667, 1), (2668, 1), (2669, 1), (2670, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 2), (24, 1), (25, 1), (31, 2), (50, 1), (53, 4), (55, 1), (65, 3), (70, 1), (77, 1), (95, 1), (281, 1), (317, 1), (328, 1), (334, 1), (531, 1), (709, 1), (765, 1), (777, 1), (1041, 1), (1248, 2), (1259, 1), (1350, 1), (1377, 1), (1481, 1), (1816, 1), (2039, 1), (2206, 1), (2239, 1), (2671, 1), (2672, 1), (2673, 1), (2674, 1), (2675, 1), (2676, 1), (2677, 1), (2678, 1), (2679, 1), (2680, 1), (2681, 1), (2682, 1)], [(8, 1), (18, 1), (24, 1), (25, 1), (37, 1), (50, 2), (54, 1), (55, 1), (185, 1), (423, 1), (777, 1), (2570, 1), (2581, 1), (2683, 1), (2684, 1), (2685, 1), (2686, 1), (2687, 1), (2688, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (22, 2), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (55, 3), (65, 3), (83, 1), (174, 1), (269, 1), (353, 1), (449, 1), (459, 2), (516, 1), (587, 1), (753, 1), (757, 1), (860, 1), (1096, 1), (1122, 1), (1467, 1), (2689, 1), (2690, 1), (2691, 1), (2692, 1), (2693, 1), (2694, 1), (2695, 1), (2696, 1), (2697, 1), (2698, 1), (2699, 1), (2700, 1), (2701, 1), (2702, 1), (2703, 1), (2704, 1)], [(8, 1), (18, 2), (20, 2), (25, 2), (40, 1), (55, 1), (65, 1), (96, 1), (99, 1), (166, 1), (170, 1), (172, 1), (215, 1), (423, 1), (744, 1), (983, 1), (2705, 1), (2706, 1), (2707, 1), (2708, 1), (2709, 1), (2710, 1), (2711, 1), (2712, 1), (2713, 1), (2714, 1)], [(8, 1), (25, 2), (37, 1), (51, 1), (55, 1), (206, 1), (459, 1), (2096, 1), (2715, 1), (2716, 1), (2717, 1), (2718, 1), (2719, 1), (2720, 1)], [(8, 1), (322, 1), (459, 1), (757, 1), (1313, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (32, 1), (174, 1), (185, 1), (187, 1), (417, 1), (457, 1), (609, 1), (776, 1), (792, 1), (810, 1), (1022, 1), (1068, 1), (1157, 1), (1379, 1), (2036, 1), (2721, 1), (2722, 1), (2723, 1), (2724, 1), (2725, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (21, 2), (25, 1), (31, 1), (32, 1), (50, 1), (53, 1), (54, 1), (55, 1), (90, 1), (95, 1), (293, 1), (331, 1), (516, 1), (518, 1), (609, 1), (708, 1), (742, 1), (1324, 1), (2206, 1), (2259, 1), (2523, 1), (2726, 1), (2727, 1), (2728, 1), (2729, 1), (2730, 1)], [(8, 1), (18, 2), (20, 4), (24, 1), (25, 2), (26, 1), (31, 2), (50, 1), (53, 3), (54, 1), (193, 1), (263, 1), (458, 1), (516, 1), (566, 1), (623, 1), (645, 1), (704, 1), (894, 1), (1732, 1), (2248, 1), (2344, 1), (2731, 1), (2732, 1), (2733, 1), (2734, 1), (2735, 1), (2736, 1), (2737, 1)], [(8, 1), (18, 1), (20, 1), (21, 2), (25, 1), (31, 1), (37, 1), (51, 1), (53, 1), (55, 1), (65, 1), (92, 2), (96, 1), (99, 1), (115, 1), (172, 1), (185, 1), (203, 1), (217, 1), (334, 1), (414, 1), (480, 1), (697, 1), (703, 1), (1122, 1), (2366, 1), (2376, 1), (2570, 1), (2738, 1), (2739, 1), (2740, 1), (2741, 1), (2742, 1), (2743, 1), (2744, 1), (2745, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (50, 1), (51, 3), (55, 1), (65, 1), (69, 1), (77, 1), (90, 1), (99, 2), (117, 1), (126, 1), (185, 2), (232, 1), (285, 1), (293, 1), (420, 1), (448, 1), (621, 1), (744, 3), (767, 1), (1071, 1), (1224, 1), (1613, 1), (1702, 1), (2184, 1), (2239, 1), (2366, 1), (2464, 1), (2465, 1), (2746, 1), (2747, 1), (2748, 1), (2749, 1), (2750, 1), (2751, 1), (2752, 1), (2753, 1), (2754, 1), (2755, 1), (2756, 1)], [(8, 1), (18, 1), (20, 3), (55, 2), (56, 1), (65, 1), (109, 1), (117, 1), (174, 1), (185, 1), (232, 1), (269, 1), (516, 1), (632, 1), (1054, 1), (1270, 1), (1549, 1), (2296, 1), (2366, 1), (2482, 1), (2757, 1), (2758, 1), (2759, 1), (2760, 1), (2761, 1), (2762, 1), (2763, 1), (2764, 1), (2765, 1), (2766, 1)], [(8, 1), (18, 3), (21, 2), (50, 1), (53, 3), (65, 1), (95, 1), (109, 1), (117, 1), (193, 1), (232, 1), (706, 1), (970, 1), (1695, 1), (2276, 1), (2743, 1), (2767, 1), (2768, 1), (2769, 1), (2770, 1), (2771, 1), (2772, 1), (2773, 1), (2774, 1)], [(8, 1), (18, 1), (20, 3), (50, 1), (53, 2), (58, 2), (69, 1), (90, 1), (95, 1), (115, 1), (117, 1), (232, 1), (288, 1), (293, 1), (328, 1), (587, 1), (601, 1), (790, 1), (830, 1), (1071, 1), (1088, 1), (1270, 1), (2621, 1), (2774, 1), (2775, 1), (2776, 1)], [(7, 1), (8, 1), (10, 1), (18, 1), (20, 7), (22, 1), (25, 2), (30, 1), (31, 1), (50, 1), (51, 2), (53, 1), (55, 1), (72, 1), (81, 1), (97, 1), (108, 1), (214, 1), (323, 1), (344, 1), (450, 1), (516, 1), (645, 1), (693, 1), (711, 1), (782, 1), (834, 1), (884, 1), (983, 1), (1122, 1), (1567, 1), (1595, 1), (2076, 1), (2143, 1), (2265, 1), (2777, 1), (2778, 1), (2779, 1), (2780, 1), (2781, 1), (2782, 1), (2783, 1), (2784, 1), (2785, 1), (2786, 1), (2787, 1), (2788, 1), (2789, 1), (2790, 1)], [(8, 1), (45, 1), (53, 1), (97, 1), (173, 1), (214, 1), (428, 1), (2791, 1), (2792, 1), (2793, 1), (2794, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (53, 1), (94, 1), (264, 1), (388, 1), (654, 1), (1131, 1), (2117, 1), (2795, 1), (2796, 1), (2797, 1), (2798, 1), (2799, 1), (2800, 1), (2801, 1), (2802, 1)], [(8, 1), (20, 1), (53, 1), (117, 1), (206, 1), (428, 1), (2482, 1), (2803, 1), (2804, 1), (2805, 1), (2806, 1), (2807, 1), (2808, 1), (2809, 1)], [(8, 1), (18, 3), (19, 3), (20, 2), (21, 1), (22, 2), (25, 2), (53, 2), (77, 1), (97, 1), (99, 1), (108, 1), (124, 1), (256, 1), (263, 1), (293, 1), (310, 1), (312, 1), (324, 1), (414, 1), (830, 1), (850, 1), (2033, 2), (2206, 1), (2207, 1), (2482, 1), (2810, 1), (2811, 2), (2812, 1), (2813, 1), (2814, 1)], [(7, 1), (8, 1), (18, 3), (20, 1), (23, 1), (50, 2), (53, 1), (410, 1), (894, 1), (2184, 1), (2235, 1), (2365, 1), (2373, 1), (2424, 1), (2761, 1), (2766, 1), (2815, 1), (2816, 1), (2817, 1), (2818, 1), (2819, 1), (2820, 1), (2821, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (21, 1), (23, 2), (25, 1), (30, 1), (45, 1), (53, 1), (54, 1), (55, 1), (71, 1), (82, 1), (90, 1), (108, 1), (263, 1), (529, 1), (2084, 1), (2321, 1), (2471, 1), (2743, 1), (2822, 1), (2823, 1), (2824, 1), (2825, 1), (2826, 1), (2827, 1)], [(18, 1), (19, 1), (20, 3), (45, 1), (64, 2), (99, 1), (117, 1), (172, 1), (173, 1), (232, 1), (268, 1), (295, 1), (301, 1), (1163, 1), (1578, 1), (1714, 1), (2828, 1), (2829, 1), (2830, 1), (2831, 1), (2832, 1), (2833, 1), (2834, 1), (2835, 1)], [(18, 1), (19, 1), (23, 1), (50, 1), (65, 1), (66, 1), (90, 1), (99, 2), (117, 3), (214, 1), (232, 1), (293, 1), (387, 1), (813, 1), (1075, 1), (1296, 1), (1615, 1), (2836, 1), (2837, 1), (2838, 1), (2839, 1), (2840, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (19, 1), (20, 5), (22, 1), (23, 4), (25, 2), (30, 1), (31, 1), (40, 1), (50, 1), (53, 4), (54, 1), (55, 1), (58, 1), (71, 1), (82, 1), (90, 3), (108, 1), (117, 1), (161, 1), (173, 1), (186, 1), (232, 1), (268, 1), (281, 1), (285, 2), (293, 2), (323, 1), (347, 1), (410, 1), (414, 1), (415, 1), (418, 1), (504, 2), (506, 1), (601, 1), (645, 1), (743, 1), (772, 1), (812, 1), (833, 1), (1224, 1), (1350, 1), (1578, 2), (1685, 1), (1691, 1), (1799, 1), (1964, 1), (2055, 1), (2140, 1), (2149, 1), (2184, 1), (2471, 1), (2772, 1), (2824, 1), (2830, 1), (2841, 1), (2842, 1), (2843, 1), (2844, 1), (2845, 1), (2846, 1), (2847, 1), (2848, 1)], [(8, 1), (23, 1), (64, 1), (236, 1), (293, 1)], [(8, 1), (18, 1), (22, 1), (88, 1), (970, 1), (2849, 1), (2850, 1)], [(99, 1), (1683, 1), (1714, 1), (2851, 1), (2852, 1), (2853, 1)], [(66, 1), (71, 1), (117, 1), (1414, 1), (2851, 1), (2854, 1), (2855, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (37, 1), (51, 1), (53, 1), (310, 1), (414, 2), (516, 1), (531, 1), (777, 1), (1227, 1), (2457, 1), (2856, 1), (2857, 1), (2858, 1), (2859, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (45, 2), (53, 1), (54, 1), (55, 1), (58, 1), (65, 1), (193, 1), (269, 1), (777, 1), (1324, 1), (1702, 1), (1766, 1), (1984, 1), (2036, 1), (2359, 1), (2772, 1), (2860, 1), (2861, 1), (2862, 1), (2863, 1), (2864, 1), (2865, 1), (2866, 1), (2867, 1), (2868, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (36, 1), (45, 1), (54, 1), (75, 1), (117, 1), (173, 1), (193, 1), (236, 1), (256, 1), (263, 1), (289, 1), (709, 1), (752, 1), (759, 1), (885, 1), (1487, 1), (2498, 1), (2869, 1), (2870, 1)], [(8, 1), (19, 1), (31, 1), (50, 1), (84, 1), (111, 1), (404, 1), (434, 1), (448, 1), (459, 1), (531, 1), (2344, 1), (2359, 1), (2743, 1), (2871, 1), (2872, 1), (2873, 1), (2874, 1)], [(8, 1), (21, 2), (37, 1), (53, 1), (54, 1), (58, 1), (117, 1), (122, 1), (173, 1), (193, 1), (215, 1), (233, 1), (268, 1), (759, 1), (788, 1), (999, 1), (2275, 1), (2824, 1), (2875, 1), (2876, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (256, 1), (418, 1), (1129, 1), (1722, 1), (2277, 1), (2877, 1), (2878, 1), (2879, 1), (2880, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (50, 1), (55, 1), (84, 3), (186, 1), (459, 1), (751, 1), (1350, 1), (1867, 1), (2556, 1), (2881, 1), (2882, 1), (2883, 1), (2884, 1), (2885, 1), (2886, 1), (2887, 1), (2888, 1), (2889, 1)], [(20, 1), (21, 1), (22, 1), (25, 1), (50, 1), (53, 2), (54, 1), (82, 1), (244, 1), (247, 1), (256, 1), (301, 1), (314, 1), (407, 1), (795, 1), (1308, 1), (2178, 1), (2890, 1), (2891, 1), (2892, 1), (2893, 1)], [(108, 1), (247, 1), (2852, 1), (2890, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (28, 1), (31, 2), (206, 1), (336, 1), (407, 1), (1131, 1), (1180, 1), (1305, 1), (1377, 1), (2235, 1), (2371, 1), (2890, 1), (2894, 1), (2895, 1)], [(18, 1), (19, 1), (20, 1), (53, 2), (64, 2), (66, 1), (99, 1), (117, 1), (172, 1), (233, 1), (893, 1), (1163, 1), (1193, 1), (1858, 1), (2824, 1), (2854, 1), (2896, 1), (2897, 1)], [(20, 1), (23, 1), (53, 1), (58, 1), (64, 2), (77, 1), (90, 1), (946, 1), (1163, 1), (1578, 1), (2898, 1), (2899, 1), (2900, 1)], [(8, 1), (18, 2), (20, 3), (50, 1), (53, 1), (64, 2), (77, 1), (173, 1), (233, 1), (268, 1), (813, 1), (1163, 1), (1578, 1), (1583, 1), (1695, 1), (2276, 1), (2901, 1), (2902, 1), (2903, 1), (2904, 1)], [(20, 2), (21, 1), (25, 1), (36, 1), (66, 1), (117, 2), (173, 3), (256, 1), (527, 1), (759, 1), (812, 1), (1589, 1), (1907, 1), (2890, 1), (2905, 2), (2906, 1), (2907, 1), (2908, 1)], [(8, 1), (23, 1), (24, 1), (64, 1), (167, 1), (173, 1), (1163, 1), (1747, 1), (2490, 1)], [(64, 1), (77, 1), (90, 1), (1323, 1), (1578, 1), (1714, 1)], [(173, 1), (226, 1), (946, 1), (2909, 1)], [(8, 1), (36, 1), (53, 1), (54, 1), (64, 1), (71, 1), (117, 1), (174, 1), (226, 1), (1163, 1), (2084, 1), (2854, 1), (2910, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (50, 1), (58, 1), (64, 2), (82, 1), (166, 1), (185, 1), (256, 1), (262, 1), (1578, 1), (2276, 1), (2902, 1), (2911, 1), (2912, 1), (2913, 1)], [(8, 1), (20, 2), (23, 2), (25, 1), (58, 1), (85, 1), (90, 2), (161, 1), (173, 1), (186, 1), (203, 1), (293, 1), (307, 1), (329, 1), (353, 1), (419, 1), (428, 1), (504, 1), (743, 1), (792, 1), (1580, 1), (1594, 1), (1615, 1), (1799, 1), (2359, 1), (2406, 1), (2471, 1), (2914, 1), (2915, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (23, 1), (50, 1), (53, 4), (55, 1), (65, 1), (82, 1), (96, 1), (215, 1), (414, 1), (420, 1), (626, 1), (777, 1), (1149, 1), (1685, 1), (2016, 1), (2018, 1), (2348, 1), (2656, 1), (2743, 1), (2770, 1), (2851, 1), (2916, 1), (2917, 1), (2918, 1), (2919, 1), (2920, 1)], [(8, 1), (18, 1), (54, 1), (654, 1), (1433, 1), (2030, 1), (2921, 1), (2922, 1)], [(8, 1), (20, 2), (53, 2), (64, 1), (117, 2), (186, 1), (232, 2), (658, 1), (1506, 1), (2824, 1), (2923, 1), (2924, 1), (2925, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (25, 1), (31, 1), (53, 1), (117, 1), (185, 1), (263, 1), (609, 1), (709, 1), (1159, 1), (1248, 1), (1488, 1), (2926, 1), (2927, 1), (2928, 1), (2929, 1)], [(20, 1), (22, 1), (32, 1), (53, 2), (66, 1), (109, 1), (117, 1), (172, 1), (419, 1), (1978, 1), (2854, 1), (2930, 1), (2931, 1), (2932, 1), (2933, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (31, 2), (50, 2), (53, 2), (54, 2), (126, 1), (365, 1), (430, 1), (753, 1), (1966, 1), (2030, 1), (2163, 1), (2168, 1), (2313, 1), (2345, 1), (2570, 1), (2729, 1), (2934, 1), (2935, 1)], [(8, 1), (20, 4), (25, 3), (31, 2), (37, 1), (50, 1), (55, 2), (109, 1), (450, 3), (531, 1), (711, 1), (903, 1), (1481, 1), (2343, 1), (2936, 1), (2937, 1), (2938, 1), (2939, 1), (2940, 1), (2941, 1), (2942, 1), (2943, 1), (2944, 1), (2945, 1), (2946, 1), (2947, 1), (2948, 1), (2949, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (54, 1), (109, 1), (185, 1), (347, 1), (373, 1), (450, 1), (530, 1), (711, 1), (763, 1), (1731, 1), (2321, 1), (2731, 1), (2950, 1)], [(8, 1), (18, 1), (20, 4), (21, 2), (37, 1), (51, 1), (53, 3), (85, 1), (90, 1), (91, 1), (95, 1), (108, 1), (117, 1), (232, 1), (328, 1), (344, 1), (353, 1), (382, 1), (420, 1), (711, 1), (884, 1), (897, 1), (1122, 1), (1165, 1), (1229, 1), (1627, 1), (1720, 1), (2202, 1), (2756, 1), (2770, 1), (2951, 1), (2952, 1), (2953, 1)], [(8, 1), (18, 3), (20, 5), (25, 2), (30, 1), (31, 1), (37, 1), (45, 1), (50, 5), (53, 2), (54, 1), (65, 2), (97, 2), (108, 1), (111, 2), (173, 1), (174, 1), (189, 1), (281, 1), (288, 1), (336, 1), (344, 1), (414, 1), (490, 1), (516, 1), (531, 1), (632, 1), (706, 1), (708, 1), (774, 1), (791, 1), (812, 1), (1365, 1), (1594, 1), (2275, 1), (2322, 1), (2937, 1), (2954, 1), (2955, 1), (2956, 1), (2957, 1), (2958, 1), (2959, 1), (2960, 1), (2961, 1), (2962, 1), (2963, 1), (2964, 1), (2965, 1), (2966, 1), (2967, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (53, 1), (55, 1), (58, 1), (109, 1), (215, 1), (222, 1), (260, 1), (365, 1), (407, 1), (410, 1), (428, 1), (450, 1), (711, 1), (1481, 1), (1627, 1), (1747, 1), (2911, 1), (2950, 1), (2968, 1), (2969, 1), (2970, 1), (2971, 1), (2972, 1), (2973, 1), (2974, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (23, 1), (25, 1), (45, 2), (50, 2), (53, 3), (82, 1), (90, 1), (91, 1), (109, 1), (173, 2), (201, 1), (215, 2), (229, 1), (269, 1), (281, 1), (289, 1), (316, 1), (903, 1), (1102, 1), (1133, 1), (1433, 1), (1824, 1), (2656, 1), (2975, 1), (2976, 1), (2977, 1), (2978, 1), (2979, 1), (2980, 1), (2981, 1), (2982, 1), (2983, 1), (2984, 1), (2985, 1)], [(8, 1), (10, 1), (18, 2), (20, 1), (22, 1), (23, 1), (25, 1), (30, 1), (50, 1), (53, 1), (65, 2), (77, 1), (90, 1), (106, 1), (173, 1), (185, 1), (190, 1), (193, 1), (215, 1), (226, 1), (256, 1), (269, 1), (281, 1), (293, 1), (347, 1), (365, 1), (506, 1), (605, 1), (645, 1), (743, 1), (776, 1), (782, 1), (884, 1), (909, 1), (1102, 1), (1348, 1), (1580, 1), (1627, 1), (2545, 1), (2986, 1), (2987, 1), (2988, 1), (2989, 1), (2990, 1), (2991, 1), (2992, 1), (2993, 1), (2994, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 1), (36, 1), (55, 1), (65, 1), (263, 1), (462, 1), (507, 1), (516, 1), (704, 1), (727, 1), (2296, 1), (2995, 1), (2996, 1), (2997, 1), (2998, 1)], [(8, 1), (18, 1), (23, 1), (31, 1), (172, 1), (182, 1), (645, 1), (744, 1), (908, 1), (2999, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (30, 1), (31, 1), (45, 2), (50, 1), (53, 2), (54, 1), (82, 1), (90, 1), (261, 1), (289, 1), (316, 1), (338, 1), (448, 1), (449, 1), (691, 1), (778, 1), (792, 1), (1013, 1), (1470, 1), (1529, 1), (2190, 1), (2443, 1), (2601, 1), (2977, 1), (3000, 1), (3001, 1), (3002, 1), (3003, 1), (3004, 1), (3005, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 1), (71, 1), (90, 1), (109, 2), (173, 2), (193, 1), (203, 1), (236, 1), (269, 1), (776, 1), (824, 1), (834, 1), (2241, 1), (2434, 1), (3000, 1), (3006, 1), (3007, 1), (3008, 1), (3009, 1), (3010, 1), (3011, 1), (3012, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (30, 1), (45, 1), (50, 2), (53, 2), (124, 1), (173, 1), (185, 1), (268, 1), (347, 1), (365, 1), (414, 1), (645, 1), (726, 1), (1041, 1), (1057, 1), (1324, 1), (1580, 1), (2266, 1), (2971, 1), (2998, 1), (3013, 1), (3014, 1), (3015, 1), (3016, 1), (3017, 1), (3018, 1)], [(7, 1), (18, 3), (20, 6), (25, 1), (45, 1), (50, 1), (54, 1), (55, 1), (58, 1), (64, 1), (91, 1), (108, 1), (173, 1), (201, 1), (247, 1), (359, 1), (448, 1), (675, 1), (692, 1), (711, 1), (827, 1), (1520, 1), (2197, 1), (2981, 1), (3019, 1), (3020, 1), (3021, 1), (3022, 1), (3023, 1), (3024, 1)], [(247, 1), (3019, 1)], [(117, 1), (232, 1), (946, 1), (1139, 1), (3019, 1)], [(8, 1), (25, 1), (30, 1), (31, 1), (50, 2), (53, 1), (85, 1), (1509, 1), (2321, 1), (3025, 1)], [(8, 1), (18, 1), (19, 3), (20, 2), (23, 1), (25, 1), (32, 1), (50, 1), (53, 3), (54, 1), (69, 1), (90, 1), (117, 1), (122, 1), (206, 1), (281, 1), (337, 1), (347, 1), (410, 1), (506, 1), (884, 1), (985, 1), (1149, 1), (1366, 1), (1400, 1), (1667, 1), (1731, 1), (2453, 1), (2743, 1), (2820, 1), (2911, 1), (3026, 1), (3027, 1), (3028, 1), (3029, 1), (3030, 1), (3031, 1), (3032, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (418, 1), (645, 1), (1165, 1), (1799, 1), (2471, 1), (3033, 1)], [(8, 1), (18, 1), (20, 1), (55, 1), (82, 1), (99, 1), (229, 1), (285, 1), (324, 1), (359, 1), (738, 1), (1799, 1), (1871, 1), (1964, 1), (2178, 1), (2666, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (58, 1), (71, 1), (77, 1), (117, 1), (214, 1), (256, 1), (288, 1), (420, 1), (516, 1), (711, 1), (759, 1), (1115, 1), (1907, 1), (2994, 1), (3034, 1), (3035, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (25, 1), (31, 2), (55, 1), (58, 1), (90, 1), (324, 1), (331, 1), (420, 1), (531, 1), (897, 1), (1578, 1), (1691, 1), (2833, 1), (2847, 2), (2994, 1), (3036, 1), (3037, 1), (3038, 1), (3039, 1), (3040, 2), (3041, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (23, 1), (31, 2), (54, 1), (108, 1), (124, 2), (161, 1), (193, 1), (215, 1), (268, 1), (328, 1), (365, 1), (418, 2), (743, 1), (833, 2), (892, 1), (1685, 1), (1799, 2), (1960, 1), (2016, 1), (2051, 1), (2076, 1), (2149, 1), (2197, 1), (2471, 2), (3042, 1), (3043, 1), (3044, 1), (3045, 1)], [(8, 1), (20, 3), (25, 2), (31, 2), (37, 1), (55, 1), (71, 1), (99, 1), (172, 1), (229, 3), (256, 1), (269, 1), (324, 3), (329, 1), (553, 1), (711, 1), (1541, 1), (1799, 2), (1865, 1), (2830, 1), (3046, 1), (3047, 1), (3048, 1), (3049, 1)], [(8, 1), (20, 1), (23, 2), (24, 1), (30, 1), (50, 1), (53, 2), (55, 1), (124, 2), (185, 1), (236, 1), (777, 1), (1578, 1), (2994, 1), (3050, 1), (3051, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (45, 1), (50, 2), (53, 3), (54, 1), (71, 2), (82, 1), (90, 1), (111, 1), (122, 1), (195, 1), (215, 1), (285, 1), (601, 1), (827, 1), (1578, 1), (2949, 1), (3052, 1), (3053, 1), (3054, 1), (3055, 1), (3056, 1), (3057, 1), (3058, 1)], [(8, 1), (19, 1), (23, 1), (37, 1), (777, 1), (2911, 1), (3059, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (54, 1), (58, 1), (71, 1), (1282, 1), (1578, 1), (1580, 1), (1587, 1), (1764, 1), (1903, 1), (2842, 1), (3060, 1), (3061, 1), (3062, 1)], [(20, 1), (21, 1), (23, 1), (31, 1), (32, 1), (96, 1), (109, 1), (166, 1), (173, 2), (193, 1), (217, 1), (281, 1), (288, 1), (309, 1), (347, 1), (506, 1), (743, 1), (1714, 1), (2145, 1), (2646, 1), (3063, 1), (3064, 1), (3065, 1), (3066, 1)], [(64, 1), (247, 1), (2898, 1)], [(8, 1), (23, 2), (30, 1), (55, 1), (90, 1), (117, 2), (410, 1), (759, 1), (1578, 1), (1580, 1), (1594, 1), (1799, 1), (2633, 1), (3067, 1), (3068, 1), (3069, 1)], [(23, 1), (53, 1), (66, 1), (117, 1), (226, 1), (815, 1), (2854, 1), (2857, 1)], [(8, 1), (18, 3), (20, 1), (22, 1), (23, 2), (25, 2), (50, 1), (53, 1), (58, 1), (64, 1), (99, 1), (108, 1), (117, 2), (215, 1), (226, 1), (232, 1), (291, 1), (295, 1), (1363, 1), (2299, 1), (2695, 1), (3070, 1), (3071, 1), (3072, 1), (3073, 1), (3074, 1), (3075, 1), (3076, 1), (3077, 1), (3078, 1), (3079, 1), (3080, 1)], [(18, 2), (20, 3), (21, 1), (22, 1), (23, 3), (25, 1), (31, 1), (53, 1), (64, 1), (66, 1), (117, 3), (232, 1), (273, 1), (295, 1), (301, 1), (328, 1), (885, 1), (1430, 1), (1966, 1), (2770, 1), (2854, 1), (3069, 1), (3081, 1), (3082, 1), (3083, 1), (3084, 1), (3085, 1), (3086, 2)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (38, 1), (44, 1), (45, 1), (51, 1), (53, 3), (55, 1), (173, 1), (193, 1), (241, 1), (516, 1), (531, 1), (753, 1), (763, 1), (1324, 1), (1529, 1), (1580, 1), (2471, 1), (2857, 1), (3084, 1), (3087, 1), (3088, 1), (3089, 1), (3090, 1), (3091, 1), (3092, 1), (3093, 1)], [(8, 1), (22, 1), (24, 1), (25, 1), (53, 1), (65, 1), (193, 1), (305, 1), (426, 1), (531, 1), (970, 1), (1057, 1), (1656, 1), (2344, 1), (2734, 1), (3084, 1), (3094, 1), (3095, 1), (3096, 1), (3097, 1), (3098, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (21, 1), (23, 2), (24, 1), (25, 2), (30, 1), (31, 1), (37, 1), (45, 1), (50, 1), (53, 3), (54, 2), (56, 1), (82, 1), (108, 1), (117, 1), (166, 1), (232, 1), (288, 1), (310, 1), (506, 1), (707, 1), (772, 1), (792, 1), (885, 1), (1001, 1), (1817, 1), (1966, 1), (2471, 1), (2824, 1), (3034, 1), (3089, 1), (3099, 1), (3100, 1), (3101, 1), (3102, 1), (3103, 1), (3104, 1), (3105, 1), (3106, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (31, 2), (45, 1), (50, 1), (53, 4), (55, 1), (91, 1), (173, 1), (186, 1), (241, 1), (334, 1), (410, 1), (428, 1), (506, 1), (1197, 1), (1656, 1), (1991, 1), (2245, 1), (2265, 1), (2290, 1), (2348, 1), (2586, 1), (2609, 1), (2743, 1), (3001, 1), (3098, 1), (3107, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (25, 1), (32, 1), (50, 1), (53, 2), (54, 1), (55, 1), (58, 1), (71, 1), (90, 2), (166, 1), (256, 1), (278, 1), (894, 1), (1485, 1), (2318, 1), (2354, 1), (2813, 1), (2857, 1), (3108, 1), (3109, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (25, 1), (31, 1), (53, 3), (54, 3), (58, 1), (91, 1), (268, 1), (269, 1), (278, 1), (293, 1), (301, 1), (328, 1), (404, 1), (410, 1), (415, 1), (833, 1), (2318, 1), (2323, 1), (2743, 1), (2857, 1), (3110, 1), (3111, 1), (3112, 1), (3113, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (31, 1), (53, 3), (78, 1), (108, 1), (300, 1), (305, 1), (310, 1), (626, 1), (725, 1), (763, 1), (884, 1), (897, 1), (1308, 1), (1580, 1), (2036, 1), (2543, 1), (2546, 1), (2688, 1), (2857, 1), (2859, 1), (2866, 1), (3114, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (23, 2), (25, 1), (31, 1), (37, 1), (50, 4), (53, 8), (90, 2), (109, 3), (185, 1), (193, 1), (215, 1), (236, 1), (269, 1), (285, 1), (301, 1), (328, 1), (329, 1), (347, 1), (426, 1), (506, 1), (744, 1), (777, 1), (812, 1), (894, 1), (1010, 1), (1139, 1), (1224, 1), (1487, 1), (1502, 1), (1613, 1), (1627, 1), (1685, 1), (2100, 1), (2265, 1), (2275, 1), (2345, 1), (2455, 1), (2479, 1), (2492, 2), (2585, 1), (2920, 1), (3030, 1), (3115, 1), (3116, 1), (3117, 1), (3118, 1), (3119, 1), (3120, 1), (3121, 1), (3122, 1)], [(7, 1), (18, 1), (19, 1), (20, 5), (21, 1), (23, 2), (24, 1), (25, 1), (30, 1), (45, 2), (53, 1), (71, 1), (82, 1), (90, 1), (117, 1), (167, 1), (236, 1), (256, 1), (407, 1), (414, 1), (428, 1), (759, 1), (1578, 1), (1714, 1), (1963, 1), (2234, 1), (2345, 1), (2471, 1), (2876, 1), (3123, 1), (3124, 1), (3125, 1), (3126, 1), (3127, 1), (3128, 1), (3129, 1), (3130, 1)], [(8, 1), (22, 1), (23, 1), (58, 1), (122, 1), (256, 1), (268, 1), (281, 1), (903, 1), (2077, 1), (2151, 1), (2954, 1), (3131, 1), (3132, 1)], [(19, 1), (20, 3), (23, 1), (31, 1), (37, 1), (50, 1), (53, 4), (71, 1), (85, 1), (96, 1), (166, 1), (215, 1), (247, 1), (256, 1), (286, 1), (293, 1), (310, 1), (323, 1), (506, 1), (601, 1), (1578, 1), (1627, 1), (2145, 1), (2570, 1), (2743, 1), (2855, 1), (2926, 1), (2965, 1), (3133, 1), (3134, 1), (3135, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 2), (25, 1), (31, 1), (37, 1), (50, 1), (71, 1), (90, 1), (117, 1), (185, 1), (232, 1), (268, 1), (305, 1), (337, 1), (342, 1), (415, 1), (448, 1), (506, 1), (601, 1), (687, 1), (1122, 1), (1224, 1), (1450, 1), (1458, 1), (1578, 1), (1695, 1), (1822, 1), (2471, 1), (2911, 1), (3041, 1), (3136, 1), (3137, 1), (3138, 1), (3139, 1), (3140, 1), (3141, 1), (3142, 1), (3143, 1)], [(8, 1), (20, 1), (22, 1), (23, 2), (31, 1), (71, 1), (117, 1), (173, 1), (174, 1), (203, 1), (307, 1), (2854, 1), (3086, 1), (3144, 1), (3145, 1), (3146, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (23, 1), (25, 1), (30, 1), (37, 1), (117, 2), (172, 1), (193, 1), (232, 1), (268, 1), (328, 1), (337, 1), (419, 1), (830, 1), (897, 1), (1170, 1), (1499, 1), (2132, 1), (2178, 2), (2826, 1), (2854, 1), (2986, 1), (3147, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (25, 2), (31, 1), (50, 1), (53, 1), (268, 1), (301, 1), (309, 1), (415, 1), (1102, 1), (1578, 1), (1580, 1), (1764, 1), (1824, 1), (2306, 1), (2466, 1), (2471, 1), (3148, 1), (3149, 1), (3150, 1), (3151, 1)], [(64, 1), (247, 1), (2898, 1)], [(18, 1), (20, 1), (21, 1), (23, 1), (50, 1), (64, 1), (77, 1), (96, 1), (173, 2), (233, 1), (744, 1), (813, 1), (946, 1), (1282, 1), (1665, 1), (1747, 1), (2029, 1), (2515, 1), (2901, 1)], [(8, 1), (32, 1), (54, 1), (117, 1), (122, 1), (281, 1), (714, 1), (985, 1), (2320, 1), (3026, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (25, 1), (45, 1), (55, 1), (71, 1), (193, 1), (903, 1), (1458, 1), (1580, 1), (1901, 1), (2400, 1), (2824, 1), (3152, 1), (3153, 1), (3154, 1), (3155, 1), (3156, 1), (3157, 1)], [(8, 1), (19, 2), (20, 2), (21, 2), (25, 1), (53, 2), (64, 2), (96, 1), (117, 2), (173, 3), (191, 1), (218, 2), (222, 1), (232, 2), (531, 1), (1163, 1), (1165, 1), (1169, 1), (2471, 1), (3158, 2), (3159, 1), (3160, 1), (3161, 1), (3162, 1)], [(18, 1), (19, 1), (20, 5), (23, 1), (25, 1), (30, 1), (34, 2), (45, 1), (65, 1), (66, 1), (71, 1), (85, 1), (96, 1), (99, 1), (117, 2), (173, 2), (293, 1), (301, 1), (414, 1), (581, 1), (706, 1), (759, 2), (830, 1), (1224, 1), (1282, 1), (1822, 1), (1907, 1), (2348, 1), (3163, 1), (3164, 1), (3165, 1), (3166, 1)], [(18, 1), (45, 1), (50, 1), (64, 1), (77, 1), (99, 1), (117, 1), (185, 1), (214, 1), (506, 1), (596, 1), (706, 1), (759, 1), (813, 1), (946, 1), (1683, 1), (1884, 1), (2540, 1), (2826, 1), (3166, 1), (3167, 1)], [(8, 1), (18, 1), (428, 1), (3061, 1), (3168, 1), (3169, 1)], [(19, 1), (20, 4), (31, 1), (45, 1), (64, 1), (77, 1), (90, 1), (99, 1), (111, 1), (185, 3), (273, 1), (706, 1), (946, 1), (1224, 1), (1238, 1), (1255, 1), (1336, 1), (1578, 1), (1691, 1), (1964, 1), (2219, 1), (2824, 1), (2926, 1), (3165, 1), (3170, 1), (3171, 1), (3172, 1), (3173, 1)], [(20, 2), (23, 1), (25, 1), (30, 1), (53, 2), (58, 2), (64, 2), (66, 1), (117, 3), (173, 1), (226, 1), (232, 2), (233, 1), (658, 1), (759, 1), (772, 1), (1163, 1), (1598, 1), (2824, 1), (2876, 1), (3166, 1), (3174, 1), (3175, 1)], [(64, 1), (96, 1), (946, 1), (1068, 1)], [(8, 1), (23, 1), (3176, 1)], [(19, 1), (22, 1), (31, 1), (53, 1), (56, 1), (64, 1), (71, 1), (117, 1), (228, 1), (278, 1), (328, 1), (759, 1), (946, 1), (1068, 1), (1481, 2), (1541, 1), (2011, 1)], [(19, 1), (20, 2), (21, 1), (23, 3), (58, 1), (64, 2), (66, 1), (77, 1), (82, 1), (90, 1), (96, 1), (99, 2), (117, 2), (233, 1), (506, 1), (1075, 1), (1131, 1), (1163, 1), (1296, 1), (1929, 1), (2145, 1), (2234, 1), (2824, 1), (3073, 1), (3177, 1), (3178, 1), (3179, 1)], [(18, 3), (20, 1), (23, 1), (25, 1), (45, 1), (64, 2), (66, 1), (71, 2), (82, 1), (85, 1), (90, 1), (99, 2), (117, 2), (256, 1), (504, 1), (706, 1), (1053, 1), (1163, 1), (1578, 1), (1931, 1), (2270, 1), (2854, 1), (3180, 1), (3181, 1), (3182, 1), (3183, 1), (3184, 1), (3185, 1), (3186, 1), (3187, 1), (3188, 1)], [(8, 1), (18, 1), (20, 1), (23, 2), (30, 1), (32, 1), (50, 1), (53, 1), (58, 1), (64, 1), (108, 1), (117, 2), (185, 1), (193, 1), (232, 1), (233, 1), (428, 1), (1163, 1), (1458, 1), (2095, 1), (2383, 1), (2824, 1), (2854, 1), (3189, 1), (3190, 1), (3191, 1)], [(8, 1), (18, 1), (64, 1), (117, 2), (122, 1), (173, 1), (232, 1), (233, 1), (1163, 1), (2855, 1), (3192, 1)], [(20, 1), (23, 1), (64, 1), (99, 1), (233, 1), (946, 1), (1163, 1), (1198, 1), (1685, 1), (1898, 1), (3193, 1), (3194, 1)], [(20, 2), (23, 1), (25, 1), (53, 1), (58, 1), (64, 1), (66, 1), (90, 1), (117, 2), (173, 1), (232, 1), (452, 1), (581, 1), (759, 1), (2197, 1), (3166, 1), (3182, 1), (3195, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (30, 1), (64, 1), (186, 1), (215, 2), (233, 1), (1163, 1), (1764, 1), (2898, 1), (3196, 1), (3197, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (65, 1), (1198, 1), (1590, 1), (2198, 1), (2234, 1), (2824, 1), (3188, 1), (3198, 1)], [(8, 1), (20, 1), (23, 1), (25, 2), (90, 1), (203, 1), (269, 1), (278, 1), (654, 1), (2265, 1), (2705, 1), (3199, 1), (3200, 1)], [(8, 1), (18, 3), (19, 2), (22, 2), (23, 1), (25, 1), (53, 1), (90, 1), (99, 2), (269, 1), (324, 1), (415, 1), (506, 2), (526, 1), (581, 1), (691, 1), (702, 1), (1308, 1), (1350, 2), (1578, 1), (2145, 1), (2321, 1), (2471, 1), (2853, 1), (3201, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (21, 1), (23, 1), (25, 2), (31, 3), (50, 1), (53, 3), (77, 1), (82, 1), (97, 1), (99, 2), (108, 1), (172, 1), (182, 1), (185, 1), (269, 1), (283, 2), (331, 1), (407, 1), (410, 1), (433, 1), (506, 2), (531, 2), (645, 1), (813, 1), (1578, 1), (1580, 1), (1642, 1), (1824, 1), (2044, 1), (2438, 1), (2665, 1), (2824, 1), (2826, 1), (3072, 1), (3202, 1), (3203, 1), (3204, 1), (3205, 1), (3206, 1), (3207, 1), (3208, 1), (3209, 1), (3210, 1), (3211, 1)], [(8, 1), (19, 2), (20, 1), (23, 2), (25, 3), (30, 1), (31, 1), (32, 1), (37, 1), (50, 1), (53, 1), (55, 1), (71, 1), (77, 1), (85, 1), (96, 1), (99, 1), (185, 1), (292, 1), (323, 1), (490, 1), (506, 1), (886, 1), (1224, 1), (1578, 1), (2145, 1), (2920, 1), (3212, 1), (3213, 1), (3214, 1)], [(7, 1), (18, 2), (19, 5), (20, 10), (22, 1), (23, 3), (25, 2), (31, 1), (45, 1), (50, 1), (53, 1), (55, 1), (66, 1), (71, 2), (77, 1), (88, 1), (90, 2), (94, 1), (97, 1), (99, 2), (117, 1), (185, 1), (190, 1), (215, 1), (268, 1), (285, 1), (293, 2), (331, 1), (410, 1), (504, 1), (506, 1), (706, 1), (763, 1), (949, 2), (1578, 1), (1685, 1), (1865, 1), (1884, 1), (1898, 1), (2151, 1), (2178, 2), (2184, 1), (2824, 1), (2870, 1), (2994, 1), (3069, 1), (3215, 2), (3216, 1), (3217, 1), (3218, 1), (3219, 1), (3220, 1), (3221, 1), (3222, 1), (3223, 1), (3224, 1), (3225, 1), (3226, 1), (3227, 1), (3228, 1)], [(8, 1), (18, 4), (20, 2), (25, 1), (32, 1), (53, 1), (64, 2), (90, 2), (108, 1), (117, 1), (174, 2), (232, 1), (233, 1), (669, 1), (884, 1), (897, 1), (1163, 1), (2824, 1), (2901, 1), (3229, 1), (3230, 1), (3231, 1), (3232, 1), (3233, 1)], [(8, 1), (10, 1), (18, 1), (19, 5), (20, 7), (23, 1), (25, 3), (37, 1), (50, 2), (53, 2), (58, 1), (65, 2), (71, 3), (77, 1), (82, 1), (90, 1), (99, 2), (109, 1), (117, 8), (172, 1), (173, 3), (185, 1), (186, 1), (217, 1), (225, 1), (226, 1), (232, 3), (256, 1), (269, 2), (285, 1), (301, 1), (334, 1), (410, 1), (414, 1), (420, 1), (518, 1), (782, 1), (1056, 1), (1139, 1), (1224, 1), (1481, 2), (1578, 1), (1657, 1), (1685, 1), (1731, 1), (1999, 1), (2126, 2), (2216, 1), (2693, 1), (2837, 1), (2870, 1), (2906, 1), (3034, 1), (3166, 1), (3170, 1), (3234, 1), (3235, 1), (3236, 1), (3237, 1), (3238, 1), (3239, 1), (3240, 1), (3241, 1), (3242, 1), (3243, 1), (3244, 1), (3245, 1)], [(18, 2), (19, 1), (20, 3), (23, 1), (30, 1), (36, 1), (37, 1), (50, 2), (53, 2), (54, 1), (55, 1), (66, 1), (85, 1), (108, 1), (117, 1), (173, 1), (215, 1), (256, 1), (404, 1), (414, 1), (516, 1), (1481, 1), (1731, 1), (2344, 1), (2345, 1), (2837, 1), (3163, 1), (3170, 1), (3246, 1), (3247, 1), (3248, 2), (3249, 1), (3250, 1)], [(18, 3), (20, 4), (21, 1), (23, 1), (25, 1), (31, 1), (37, 1), (50, 4), (53, 5), (85, 1), (90, 1), (96, 1), (106, 1), (166, 1), (186, 1), (193, 1), (215, 1), (256, 1), (268, 1), (323, 1), (337, 1), (342, 1), (347, 2), (428, 1), (506, 1), (744, 1), (893, 1), (922, 1), (1224, 1), (1238, 1), (1342, 1), (1481, 1), (1578, 1), (1607, 1), (1674, 1), (1714, 1), (1868, 1), (2095, 1), (2151, 1), (2219, 1), (2245, 1), (2672, 1), (2706, 1), (2824, 1), (3225, 1), (3251, 1), (3252, 1), (3253, 1), (3254, 1), (3255, 1), (3256, 1), (3257, 1)], [(18, 1), (20, 2), (58, 1), (64, 1), (66, 1), (77, 1), (90, 1), (281, 1), (645, 1), (1298, 1), (1578, 1), (2824, 1), (3258, 1)], [(8, 1), (36, 1), (53, 1), (54, 1), (64, 1), (117, 1), (1163, 1), (3259, 1), (3260, 1), (3261, 1), (3262, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (22, 1), (25, 1), (31, 1), (53, 1), (58, 2), (64, 1), (71, 1), (90, 1), (99, 1), (117, 2), (232, 2), (301, 1), (347, 1), (419, 1), (459, 1), (479, 1), (506, 1), (702, 1), (1224, 1), (1282, 1), (1296, 1), (1574, 1), (2270, 1), (2471, 2), (3061, 1), (3263, 1), (3264, 1), (3265, 1), (3266, 1), (3267, 1)], [(8, 1), (19, 1), (22, 1), (31, 1), (50, 1), (58, 1), (90, 2), (108, 1), (117, 2), (232, 2), (351, 1), (410, 1), (418, 1), (531, 1), (2471, 2), (2564, 1), (2743, 1), (3268, 1), (3269, 1), (3270, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (58, 2), (84, 1), (186, 1), (419, 1), (691, 1), (884, 1), (1845, 1), (2140, 1), (2318, 1), (2839, 1), (2910, 1), (3263, 1), (3271, 1), (3272, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 3), (45, 1), (53, 1), (63, 1), (269, 1), (301, 1), (410, 1), (414, 1), (426, 1), (707, 1), (1069, 1), (1224, 1), (2640, 1), (3083, 2), (3272, 1), (3273, 1), (3274, 1), (3275, 1), (3276, 1)], [(8, 1), (20, 1), (58, 1), (90, 1), (117, 1), (233, 1), (759, 1), (1685, 1), (3263, 1), (3277, 1), (3278, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (23, 1), (25, 2), (31, 1), (53, 1), (58, 1), (117, 1), (173, 1), (226, 1), (293, 1), (295, 1), (433, 1), (506, 1), (691, 1), (697, 1), (1304, 1), (2357, 1), (2543, 1), (2854, 1), (2978, 1), (3091, 1), (3279, 1), (3280, 1), (3281, 1), (3282, 1), (3283, 1), (3284, 1)], [(18, 1), (19, 2), (20, 1), (21, 2), (22, 4), (23, 2), (31, 1), (34, 1), (53, 1), (58, 1), (64, 1), (65, 1), (90, 1), (99, 1), (117, 4), (173, 2), (193, 1), (232, 2), (295, 1), (301, 1), (420, 1), (611, 1), (702, 4), (759, 1), (897, 1), (946, 1), (1224, 1), (1569, 1), (1578, 1), (1695, 1), (2296, 1), (2464, 1), (2543, 1), (3026, 1), (3170, 1), (3285, 1), (3286, 1), (3287, 1), (3288, 1), (3289, 1), (3290, 1), (3291, 1)], [(8, 1), (18, 4), (19, 1), (20, 7), (23, 2), (25, 3), (53, 1), (54, 1), (55, 1), (69, 1), (108, 1), (161, 1), (186, 1), (215, 1), (404, 1), (419, 1), (428, 1), (775, 1), (897, 1), (1196, 1), (1416, 1), (1541, 1), (1799, 1), (1966, 2), (2275, 1), (2348, 1), (2471, 1), (2743, 1), (2785, 1), (3121, 1), (3269, 1), (3292, 1), (3293, 1), (3294, 1), (3295, 1), (3296, 1), (3297, 1), (3298, 1)], [(18, 2), (19, 1), (20, 3), (22, 1), (25, 2), (32, 1), (51, 1), (53, 2), (64, 2), (65, 1), (66, 1), (90, 1), (215, 1), (233, 1), (295, 1), (328, 1), (351, 1), (365, 1), (414, 1), (792, 1), (800, 1), (885, 1), (1163, 1), (1224, 1), (1859, 1), (1865, 1), (2178, 1), (2357, 1), (2611, 1), (2766, 1), (2824, 1), (2995, 1), (3299, 1), (3300, 1), (3301, 1), (3302, 1), (3303, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (109, 1), (173, 1), (256, 1), (347, 1), (1122, 1), (2406, 1), (2471, 1), (3304, 1), (3305, 1)], [(8, 1), (20, 1), (23, 1), (53, 2), (626, 1), (777, 1), (2471, 1), (3306, 1), (3307, 1), (3308, 1)], [(8, 1), (20, 1), (50, 1), (53, 2), (58, 1), (240, 1), (407, 1), (1824, 1), (2117, 1), (2296, 1), (3056, 1), (3309, 1), (3310, 1), (3311, 1)], [(8, 1), (18, 4), (19, 1), (20, 4), (22, 1), (23, 1), (25, 3), (34, 1), (53, 4), (95, 1), (166, 1), (256, 1), (268, 1), (372, 1), (404, 1), (415, 1), (645, 1), (897, 1), (1122, 1), (1395, 1), (2184, 1), (2431, 1), (2611, 1), (2743, 1), (2765, 1), (2766, 1), (2773, 1), (3312, 1), (3313, 1), (3314, 1), (3315, 1), (3316, 1), (3317, 1), (3318, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (22, 1), (25, 1), (31, 2), (50, 1), (53, 3), (54, 1), (82, 1), (117, 2), (186, 1), (232, 2), (268, 1), (269, 1), (281, 1), (328, 1), (405, 1), (441, 1), (487, 1), (597, 1), (829, 1), (976, 1), (1578, 1), (1803, 1), (2208, 1), (2464, 1), (2743, 1), (3048, 1), (3274, 1), (3313, 1), (3319, 1), (3320, 1), (3321, 1), (3322, 1), (3323, 1), (3324, 1), (3325, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (50, 2), (53, 4), (54, 1), (65, 1), (74, 1), (193, 1), (328, 1), (414, 1), (706, 1), (777, 1), (790, 1), (999, 1), (2184, 1), (2259, 1), (2434, 1), (2471, 1), (2765, 1), (2965, 1), (3326, 1), (3327, 1), (3328, 1), (3329, 1)], [(53, 1), (77, 1), (96, 1), (185, 1), (301, 1), (414, 1), (1714, 1), (2995, 1)], [(8, 1), (19, 2), (20, 4), (23, 1), (25, 4), (53, 1), (58, 5), (186, 1), (193, 1), (197, 1), (448, 1), (688, 1), (697, 1), (1450, 1), (2093, 1), (2354, 1), (2365, 1), (2575, 1), (2602, 1), (2978, 1), (3330, 1), (3331, 1), (3332, 1), (3333, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (53, 2), (55, 1), (58, 1), (193, 1), (256, 1), (394, 1), (516, 1), (527, 1), (531, 1), (581, 1), (829, 1), (873, 1), (884, 1), (1122, 1), (1901, 1), (2342, 1), (2345, 1), (3334, 1), (3335, 1), (3336, 1), (3337, 1), (3338, 1), (3339, 1), (3340, 1), (3341, 1)], [(8, 1), (18, 1), (20, 1), (31, 2), (34, 1), (50, 1), (53, 2), (54, 1), (99, 1), (111, 1), (185, 1), (215, 1), (351, 1), (922, 1), (1517, 1), (2290, 1), (3064, 1), (3335, 1), (3342, 1), (3343, 1), (3344, 1)], [(18, 1), (20, 1), (25, 1), (31, 1), (50, 2), (53, 1), (58, 1), (71, 1), (90, 2), (161, 2), (166, 1), (285, 1), (301, 1), (428, 1), (813, 1), (1164, 1), (1450, 1), (1578, 1), (1615, 1), (1657, 1), (1691, 1), (1714, 1), (2345, 1), (2982, 1), (3335, 1), (3345, 1), (3346, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (23, 2), (25, 3), (50, 1), (58, 4), (185, 1), (215, 1), (217, 1), (236, 1), (310, 1), (347, 1), (361, 1), (414, 1), (506, 1), (516, 1), (815, 1), (827, 1), (884, 1), (1092, 1), (1102, 1), (1578, 1), (1610, 1), (2004, 1), (2140, 1), (2336, 1), (2947, 1), (3347, 1), (3348, 1), (3349, 1), (3350, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (23, 2), (25, 1), (31, 2), (50, 1), (53, 1), (58, 1), (186, 1), (305, 1), (505, 1), (726, 1), (744, 1), (812, 1), (1430, 1), (1580, 1), (1668, 1), (2348, 1), (2482, 1), (2688, 1), (3351, 1)], [(8, 1), (18, 2), (23, 2), (31, 2), (50, 1), (53, 1), (58, 1), (85, 1), (90, 1), (744, 1), (1149, 2), (3352, 1), (3353, 1), (3354, 1), (3355, 1), (3356, 1)], [(8, 1), (20, 2), (23, 1), (25, 2), (45, 1), (50, 1), (53, 2), (65, 1), (185, 1), (310, 1), (410, 1), (414, 1), (632, 1), (706, 1), (1227, 1), (1578, 1), (2345, 1), (2471, 1), (3165, 1), (3335, 1), (3357, 1), (3358, 1)], [(8, 1), (20, 2), (23, 1), (25, 2), (31, 1), (50, 1), (53, 3), (65, 1), (186, 1), (414, 1), (448, 1), (632, 1), (708, 1), (897, 1), (1342, 1), (1580, 1), (2290, 1), (2296, 1), (2354, 1), (2471, 1), (2743, 1), (2887, 1), (3083, 1), (3358, 2), (3359, 1), (3360, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (28, 1), (31, 1), (124, 1), (236, 1), (708, 1), (884, 1), (897, 1), (1580, 2), (2210, 1), (2354, 1), (3361, 1)], [(8, 1), (19, 2), (20, 7), (23, 2), (25, 4), (32, 1), (37, 1), (50, 2), (53, 4), (54, 1), (58, 1), (82, 1), (85, 2), (90, 1), (96, 1), (117, 1), (124, 1), (193, 1), (215, 1), (232, 1), (233, 1), (256, 1), (262, 1), (268, 1), (293, 1), (301, 1), (309, 1), (353, 1), (410, 1), (428, 1), (452, 2), (827, 1), (897, 1), (1001, 1), (1149, 1), (1224, 1), (1282, 1), (1350, 1), (1578, 1), (1580, 1), (1587, 1), (1928, 1), (2275, 1), (2313, 1), (2365, 1), (2471, 1), (2824, 1), (3362, 1), (3363, 1), (3364, 1), (3365, 1), (3366, 1), (3367, 1), (3368, 1), (3369, 1), (3370, 1)], [(8, 1), (18, 2), (20, 3), (23, 1), (25, 1), (54, 1), (55, 1), (65, 1), (77, 1), (82, 1), (90, 1), (108, 1), (111, 1), (166, 1), (174, 1), (256, 1), (268, 1), (328, 1), (410, 1), (738, 1), (866, 1), (1342, 1), (1799, 1), (2163, 1), (2178, 1), (2512, 1), (2716, 1), (2826, 1), (3074, 1), (3371, 1), (3372, 1), (3373, 1)], [(8, 1), (18, 4), (20, 3), (23, 2), (25, 2), (31, 1), (50, 2), (53, 4), (109, 1), (347, 1), (353, 1), (405, 1), (420, 1), (428, 2), (433, 1), (702, 1), (708, 1), (726, 1), (1043, 1), (1172, 1), (1241, 1), (1487, 1), (2030, 1), (2178, 1), (2344, 1), (2345, 1), (2359, 1), (2365, 2), (2743, 1), (2927, 1), (3374, 1), (3375, 1), (3376, 1), (3377, 1), (3378, 1), (3379, 1)], [(8, 1), (20, 3), (23, 1), (53, 2), (65, 1), (71, 1), (90, 1), (203, 1), (345, 1), (506, 1), (706, 1), (1578, 1), (2009, 1), (3380, 1), (3381, 1), (3382, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (23, 1), (25, 1), (82, 1), (98, 1), (273, 1), (301, 1), (1057, 1), (1702, 1), (2324, 1), (2919, 1), (3383, 1), (3384, 1)], [(8, 1), (18, 2), (20, 5), (23, 1), (25, 3), (31, 4), (45, 1), (50, 2), (53, 8), (75, 1), (90, 1), (109, 1), (193, 1), (215, 1), (269, 2), (307, 1), (414, 1), (415, 1), (433, 1), (506, 1), (654, 1), (697, 1), (706, 1), (708, 1), (725, 1), (827, 1), (829, 1), (897, 1), (1324, 1), (1695, 1), (1999, 1), (2178, 1), (2208, 1), (2357, 1), (2365, 1), (2464, 1), (2471, 1), (2731, 1), (2743, 2), (2868, 1), (2911, 1), (3040, 1), (3234, 1), (3274, 1), (3385, 1), (3386, 1), (3387, 1), (3388, 1), (3389, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (31, 1), (34, 1), (37, 1), (45, 1), (53, 1), (54, 1), (58, 1), (108, 1), (117, 1), (173, 1), (232, 1), (256, 1), (382, 1), (448, 1), (1342, 1), (1529, 1), (2208, 1), (2466, 1), (2977, 1), (3390, 1), (3391, 1), (3392, 1), (3393, 1)], [(20, 3), (21, 1), (106, 1), (173, 1), (201, 1), (247, 1), (314, 1), (420, 1), (1122, 1), (2178, 1), (2406, 1), (3394, 1)], [(18, 1), (96, 1), (247, 1), (1668, 1)], [(18, 1), (247, 1), (2153, 1), (2977, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (50, 1), (54, 1), (55, 1), (122, 1), (226, 1), (328, 1), (777, 1), (829, 1), (1074, 1), (1695, 1), (2276, 1), (3351, 1), (3395, 1), (3396, 1), (3397, 1), (3398, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (23, 1), (25, 1), (31, 1), (53, 1), (58, 1), (77, 1), (109, 1), (117, 3), (173, 3), (215, 1), (217, 1), (226, 1), (232, 3), (236, 1), (703, 1), (1731, 2), (1778, 1), (3083, 1), (3202, 1), (3399, 1), (3400, 1), (3401, 1), (3402, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (37, 1), (45, 2), (53, 1), (65, 1), (71, 1), (82, 1), (90, 2), (166, 1), (173, 1), (193, 2), (293, 1), (301, 1), (414, 1), (433, 1), (602, 1), (711, 1), (726, 1), (834, 1), (990, 1), (1416, 1), (2365, 1), (2401, 1), (2977, 1), (3397, 1), (3403, 1), (3404, 1), (3405, 1), (3406, 1)], [(8, 1), (50, 1), (111, 1), (415, 1), (448, 1), (459, 1), (530, 1), (813, 1), (3407, 1)], [(8, 1), (19, 2), (22, 1), (23, 1), (50, 2), (53, 1), (82, 1), (96, 1), (185, 1), (256, 1), (506, 1), (531, 1), (763, 1), (885, 1), (1366, 1), (1627, 1), (1644, 1), (2359, 1), (3408, 1), (3409, 1)], [(7, 1), (8, 1), (18, 3), (20, 2), (21, 2), (23, 1), (50, 1), (53, 1), (91, 1), (217, 1), (278, 1), (323, 1), (347, 1), (399, 1), (645, 1), (778, 1), (1730, 1), (1884, 1), (3410, 1), (3411, 1), (3412, 1), (3413, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (31, 1), (45, 1), (50, 1), (53, 1), (55, 1), (90, 1), (172, 1), (185, 1), (203, 1), (1451, 1), (1578, 1), (1807, 1), (3118, 1), (3414, 1), (3415, 1), (3416, 1), (3417, 1)], [(20, 2), (23, 1), (37, 1), (58, 1), (77, 1), (96, 1), (236, 1), (247, 1), (331, 1), (337, 1)], [(8, 1), (18, 1), (22, 1), (31, 1), (45, 1), (50, 1), (71, 1), (117, 1), (122, 1), (161, 1), (232, 1), (581, 1), (645, 1), (813, 1), (1308, 1), (2487, 1), (3049, 1), (3418, 1)], [(8, 1), (19, 1), (20, 5), (23, 1), (25, 1), (45, 1), (50, 4), (53, 1), (58, 1), (90, 1), (96, 1), (301, 1), (410, 1), (885, 1), (897, 1), (1122, 1), (1596, 1), (1898, 1), (3397, 1), (3419, 1), (3420, 1), (3421, 1), (3422, 1), (3423, 1), (3424, 1)], [(8, 1), (18, 4), (20, 1), (22, 1), (23, 1), (28, 1), (50, 2), (58, 1), (71, 2), (117, 1), (232, 1), (256, 2), (269, 1), (428, 1), (527, 1), (553, 1), (601, 1), (645, 1), (778, 1), (812, 1), (1541, 1), (2030, 1), (2178, 1), (3396, 1), (3398, 1), (3425, 1), (3426, 1), (3427, 2), (3428, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (25, 1), (31, 1), (53, 3), (206, 1), (217, 1), (281, 1), (328, 1), (347, 1), (812, 1), (1499, 1), (2387, 1), (3049, 1), (3342, 1), (3426, 1), (3429, 1), (3430, 1), (3431, 1), (3432, 1)], [(8, 1), (20, 2), (37, 2), (92, 1), (185, 1), (193, 1), (206, 1), (346, 1), (459, 1), (506, 2), (516, 1), (812, 1), (1352, 1), (1529, 1), (1578, 1), (3433, 1), (3434, 1), (3435, 1)], [(8, 1), (18, 2), (20, 4), (25, 2), (31, 1), (45, 1), (50, 1), (53, 1), (55, 1), (58, 1), (65, 1), (85, 1), (173, 1), (301, 1), (337, 1), (414, 1), (448, 1), (813, 1), (1498, 1), (2208, 1), (2367, 1), (2391, 1), (2691, 1), (3049, 1), (3357, 1), (3436, 1), (3437, 1), (3438, 1), (3439, 1), (3440, 1), (3441, 1)], [(8, 1), (18, 1), (20, 1), (21, 2), (25, 1), (31, 1), (50, 1), (51, 1), (53, 5), (58, 1), (173, 1), (206, 1), (310, 1), (387, 1), (414, 1), (428, 1), (706, 1), (897, 1), (1966, 1), (1999, 1), (2208, 1), (2290, 1), (2354, 1), (2743, 1), (2995, 1), (3234, 1), (3442, 1), (3443, 1), (3444, 1)], [(8, 1), (18, 1), (21, 2), (23, 1), (32, 1), (36, 1), (45, 1), (55, 1), (85, 1), (420, 1), (426, 1), (708, 1), (1262, 1), (1467, 1), (1732, 1), (2354, 1), (3445, 1), (3446, 2), (3447, 1), (3448, 1)], [(8, 1), (18, 1), (19, 1), (21, 2), (45, 2), (50, 1), (54, 1), (65, 1), (186, 1), (193, 1), (202, 1), (256, 1), (268, 1), (351, 1), (414, 2), (527, 1), (706, 1), (886, 1), (2691, 1), (2831, 1), (3056, 1), (3097, 1), (3121, 1), (3449, 1), (3450, 1)], [(8, 1), (18, 1), (32, 1), (37, 1), (53, 1), (56, 1), (108, 1), (516, 1), (706, 1), (2304, 1), (3000, 1), (3396, 1), (3451, 1), (3452, 1), (3453, 1)], [(8, 1), (18, 1), (20, 1), (23, 2), (25, 1), (40, 1), (50, 1), (53, 2), (58, 1), (82, 1), (85, 1), (172, 1), (285, 1), (506, 1), (833, 1), (1066, 1), (2036, 1), (2296, 1), (2345, 1), (3040, 1), (3454, 2), (3455, 1), (3456, 1)], [(8, 1), (20, 2), (23, 1), (50, 2), (53, 2), (54, 2), (58, 2), (85, 1), (215, 1), (236, 1), (256, 1), (626, 1), (1901, 1), (2077, 1), (2492, 1), (3274, 1), (3457, 1), (3458, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (50, 1), (65, 1), (96, 1), (185, 1), (242, 1), (253, 1), (256, 1), (268, 1), (706, 1), (885, 1), (1580, 1), (2019, 1), (3154, 1), (3165, 1), (3459, 1), (3460, 1), (3461, 1)], [(8, 1), (20, 2), (23, 2), (25, 2), (30, 1), (32, 1), (50, 3), (53, 4), (54, 2), (58, 1), (77, 1), (167, 1), (193, 1), (215, 2), (289, 1), (323, 1), (347, 1), (410, 1), (428, 1), (504, 1), (739, 1), (827, 1), (893, 1), (910, 1), (1224, 1), (1377, 1), (1580, 1), (1820, 1), (1936, 1), (2612, 1), (2716, 1), (2743, 1), (3040, 1), (3419, 1), (3462, 1), (3463, 1), (3464, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 2), (25, 1), (30, 3), (31, 1), (50, 1), (54, 2), (82, 1), (90, 1), (96, 1), (293, 1), (359, 1), (897, 1), (903, 1), (910, 1), (937, 1), (1731, 1), (1966, 1), (2084, 1), (2666, 1), (3212, 1), (3330, 1), (3332, 1), (3465, 1), (3466, 1)], [(8, 1), (20, 2), (25, 2), (45, 1), (50, 1), (53, 1), (173, 1), (193, 1), (2245, 1), (2344, 1), (2995, 1), (3256, 1), (3467, 1), (3468, 1), (3469, 1), (3470, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 2), (23, 1), (25, 1), (30, 1), (31, 1), (37, 1), (45, 2), (50, 1), (53, 2), (54, 1), (55, 2), (58, 1), (65, 1), (109, 1), (117, 1), (172, 1), (173, 1), (206, 1), (209, 1), (215, 1), (217, 1), (278, 1), (459, 1), (626, 1), (777, 1), (903, 1), (922, 2), (1054, 1), (1712, 1), (1731, 1), (2137, 1), (2210, 1), (2276, 1), (2977, 1), (3397, 2), (3406, 1), (3471, 1), (3472, 1), (3473, 1), (3474, 1), (3475, 1), (3476, 1)], [(8, 1), (18, 1), (20, 2), (45, 1), (50, 2), (53, 1), (124, 1), (186, 1), (215, 1), (452, 1), (459, 2), (504, 1), (1131, 1), (1766, 1), (2235, 1), (2276, 1), (3136, 1), (3329, 1), (3477, 1), (3478, 1), (3479, 1), (3480, 1), (3481, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (31, 2), (32, 1), (50, 1), (53, 1), (54, 1), (71, 1), (90, 1), (111, 1), (122, 1), (173, 1), (185, 1), (203, 1), (293, 1), (415, 1), (445, 1), (448, 1), (1164, 1), (1929, 1), (2655, 1), (2712, 1), (2950, 1), (3342, 1), (3413, 1), (3429, 1), (3482, 1), (3483, 1), (3484, 1)], [(8, 1), (19, 1), (23, 1), (50, 1), (58, 1), (342, 1), (3485, 1)], [(8, 1), (21, 1), (45, 1), (50, 2), (53, 1), (126, 1), (229, 1), (278, 1), (1481, 2), (1499, 1), (3381, 1), (3486, 1)], [(18, 1), (19, 1), (21, 1), (36, 1), (88, 1), (247, 1), (314, 1), (601, 1), (2495, 1), (2751, 1)], [(90, 1), (193, 1), (247, 1), (1170, 1), (3440, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (32, 1), (53, 1), (54, 1), (71, 1), (90, 2), (108, 2), (173, 1), (203, 1), (268, 1), (301, 1), (328, 1), (410, 1), (506, 1), (1342, 1), (1580, 1), (1901, 1), (2348, 1), (2712, 1), (2785, 1), (3419, 1), (3487, 1), (3488, 1), (3489, 1), (3490, 1), (3491, 1)], [(8, 1), (18, 4), (19, 1), (20, 6), (25, 2), (31, 1), (45, 1), (50, 1), (51, 1), (53, 2), (55, 1), (97, 1), (111, 2), (117, 1), (173, 2), (193, 1), (347, 1), (406, 1), (412, 1), (414, 2), (626, 1), (884, 1), (1041, 1), (1074, 1), (1248, 1), (1882, 1), (2127, 1), (2581, 1), (2717, 1), (3108, 1), (3378, 1), (3432, 1), (3492, 1), (3493, 1), (3494, 1), (3495, 1), (3496, 1), (3497, 1), (3498, 1), (3499, 1), (3500, 1), (3501, 1), (3502, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (31, 1), (53, 1), (54, 1), (69, 1), (90, 1), (185, 1), (193, 1), (236, 1), (448, 1), (706, 1), (763, 1), (1305, 1), (1383, 1), (2401, 1), (3417, 1), (3494, 1), (3503, 1), (3504, 1), (3505, 1), (3506, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (23, 1), (25, 1), (37, 1), (54, 1), (58, 4), (71, 2), (82, 1), (90, 3), (97, 1), (193, 1), (203, 1), (256, 1), (301, 1), (516, 1), (527, 1), (738, 1), (2178, 1), (2362, 1), (2457, 1), (2614, 1), (2785, 1), (3140, 1), (3415, 1), (3507, 1), (3508, 1), (3509, 1), (3510, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (32, 1), (53, 4), (65, 3), (185, 1), (186, 2), (259, 1), (286, 1), (378, 1), (516, 1), (884, 1), (999, 2), (1363, 1), (1882, 1), (2036, 1), (2184, 1), (2712, 1), (3317, 1), (3499, 1), (3511, 1), (3512, 1), (3513, 1), (3514, 1), (3515, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (24, 1), (25, 1), (37, 1), (45, 1), (53, 1), (65, 1), (90, 1), (108, 1), (111, 1), (185, 1), (236, 1), (293, 1), (353, 1), (452, 2), (459, 1), (884, 1), (999, 1), (2184, 1), (2740, 1), (3125, 1), (3492, 1), (3509, 1), (3516, 1), (3517, 1), (3518, 1), (3519, 1), (3520, 1), (3521, 1)], [(8, 1), (19, 2), (20, 1), (21, 1), (23, 1), (32, 1), (34, 1), (53, 1), (54, 1), (96, 1), (193, 1), (256, 1), (261, 1), (433, 1), (1350, 1), (1580, 1), (1882, 1), (2320, 1), (3072, 1), (3134, 1), (3522, 1), (3523, 1), (3524, 1), (3525, 1), (3526, 1), (3527, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (25, 2), (45, 1), (50, 3), (53, 4), (85, 1), (91, 1), (109, 1), (173, 2), (307, 1), (410, 1), (414, 1), (428, 1), (709, 1), (897, 1), (1430, 1), (1465, 1), (2292, 1), (3098, 2), (3300, 1), (3498, 1), (3509, 1), (3528, 1), (3529, 1), (3530, 1), (3531, 1), (3532, 1), (3533, 1), (3534, 1), (3535, 1), (3536, 1), (3537, 1), (3538, 1), (3539, 1), (3540, 1)], [(8, 1), (10, 1), (18, 2), (19, 2), (20, 3), (22, 1), (25, 2), (31, 1), (45, 1), (50, 2), (53, 4), (58, 1), (71, 1), (85, 1), (91, 1), (173, 3), (193, 1), (228, 1), (337, 1), (353, 1), (428, 1), (708, 1), (782, 1), (884, 2), (897, 1), (903, 1), (999, 1), (1702, 1), (2226, 1), (2344, 1), (2381, 1), (2409, 1), (2884, 1), (2921, 1), (3364, 1), (3530, 1), (3541, 1), (3542, 1), (3543, 1), (3544, 1), (3545, 1), (3546, 1), (3547, 1), (3548, 1), (3549, 1), (3550, 1), (3551, 1)], [(8, 1), (19, 1), (22, 1), (37, 1), (45, 1), (50, 1), (53, 1), (82, 1), (167, 1), (173, 1), (193, 1), (244, 1), (301, 1), (744, 1), (792, 1), (812, 1), (813, 1), (884, 1), (1470, 1), (2751, 1), (2886, 1), (3552, 1), (3553, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (31, 2), (45, 1), (53, 2), (65, 1), (71, 1), (97, 1), (109, 1), (111, 2), (206, 1), (323, 1), (407, 1), (410, 1), (415, 1), (448, 1), (459, 1), (903, 1), (1113, 1), (1305, 1), (1702, 1), (2016, 1), (2649, 1), (2847, 1), (2849, 1), (2977, 1), (3040, 1), (3447, 1), (3554, 1), (3555, 1), (3556, 1), (3557, 1), (3558, 1), (3559, 1), (3560, 1), (3561, 1), (3562, 1), (3563, 1), (3564, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 1), (45, 1), (53, 2), (58, 1), (173, 2), (186, 1), (215, 2), (452, 1), (459, 1), (504, 1), (893, 1), (999, 1), (1458, 1), (2292, 1), (2344, 1), (2354, 1), (2359, 1), (3498, 1), (3509, 1), (3565, 1), (3566, 1), (3567, 1), (3568, 1), (3569, 1), (3570, 1), (3571, 1)], [(8, 1), (19, 1), (20, 6), (23, 2), (25, 2), (30, 1), (31, 1), (32, 2), (45, 1), (50, 1), (52, 1), (53, 2), (54, 2), (55, 1), (58, 1), (85, 1), (97, 1), (111, 1), (174, 1), (206, 1), (217, 1), (236, 1), (276, 1), (293, 1), (307, 1), (347, 1), (428, 1), (506, 1), (812, 1), (1012, 1), (1342, 1), (1460, 1), (1580, 1), (2140, 1), (2245, 1), (2365, 1), (2471, 1), (2849, 1), (3140, 1), (3189, 1), (3572, 1), (3573, 1), (3574, 1), (3575, 1), (3576, 1), (3577, 1), (3578, 1), (3579, 1), (3580, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (31, 1), (53, 1), (54, 1), (96, 1), (269, 1), (273, 1), (301, 1), (3114, 1), (3581, 1), (3582, 1), (3583, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (45, 2), (50, 2), (53, 4), (55, 1), (58, 2), (85, 1), (108, 1), (109, 1), (173, 2), (186, 1), (193, 1), (334, 1), (382, 1), (531, 1), (706, 1), (897, 1), (1570, 1), (1801, 1), (2365, 1), (2541, 1), (2692, 1), (2766, 1), (3440, 1), (3584, 1), (3585, 1), (3586, 1), (3587, 1), (3588, 1)], [(8, 1), (20, 3), (24, 1), (25, 1), (45, 1), (53, 1), (54, 1), (55, 1), (185, 1), (428, 1), (449, 1), (506, 1), (1416, 1), (2036, 1), (2168, 1), (2365, 1), (2471, 1), (2706, 1), (3134, 1), (3440, 1), (3589, 1), (3590, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 2), (25, 1), (32, 1), (50, 1), (58, 1), (82, 1), (85, 1), (166, 1), (173, 1), (506, 1), (1272, 1), (2911, 1), (2912, 1), (3072, 1), (3591, 1), (3592, 1), (3593, 1), (3594, 1)], [(8, 1), (19, 1), (20, 6), (23, 2), (25, 3), (30, 2), (53, 2), (71, 1), (82, 1), (85, 1), (96, 1), (109, 1), (111, 1), (173, 1), (186, 1), (188, 1), (305, 1), (498, 1), (506, 1), (601, 1), (897, 1), (1324, 1), (1458, 1), (1615, 1), (1644, 1), (1901, 1), (2163, 1), (2365, 1), (2453, 1), (2515, 1), (2688, 1), (3536, 1), (3595, 1), (3596, 1), (3597, 1)], [(8, 1), (45, 1), (90, 1), (173, 1), (193, 1), (256, 1), (301, 1), (506, 1), (776, 1), (1580, 1), (1875, 1), (3525, 1), (3558, 1), (3598, 1), (3599, 1), (3600, 1)], [(64, 1), (65, 1), (99, 1), (946, 1), (2010, 1), (3601, 1), (3602, 1)], [(8, 1), (20, 2), (21, 1), (23, 1), (31, 1), (53, 2), (65, 3), (66, 1), (99, 1), (173, 1), (193, 1), (233, 1), (268, 1), (293, 1), (331, 1), (410, 1), (506, 2), (810, 1), (886, 1), (1198, 1), (2276, 1), (2344, 1), (2911, 1), (2997, 1), (3091, 1), (3283, 1), (3440, 1), (3602, 2), (3603, 1)], [(20, 2), (64, 1), (108, 1), (117, 1), (232, 1), (332, 1), (1178, 1), (2419, 1), (2421, 1), (2898, 1), (3102, 1)], [(8, 1), (23, 1), (3176, 1)], [(64, 1), (247, 1), (2898, 1)], [(247, 1), (3604, 1)], [(247, 1), (2419, 1)], [(247, 1), (3605, 1)], [(506, 1), (1178, 1), (3382, 1)], [(64, 1), (65, 1), (247, 1), (3602, 1), (3606, 1)], [(20, 2), (23, 1), (65, 4), (71, 1), (111, 1), (323, 1), (506, 2), (810, 1), (1178, 1), (2145, 1), (2997, 1), (3602, 1), (3607, 2)], [(8, 1), (20, 1), (23, 1), (45, 1), (50, 1), (53, 3), (236, 1), (285, 1), (410, 1), (414, 1), (506, 1), (999, 1), (1057, 1), (1364, 1), (1458, 1), (1529, 1), (1580, 1), (1615, 1), (2381, 1), (2706, 1), (3055, 1), (3425, 1), (3440, 1), (3588, 1), (3608, 1), (3609, 1), (3610, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (30, 1), (31, 1), (53, 3), (75, 1), (90, 1), (109, 1), (186, 1), (193, 1), (301, 1), (426, 1), (428, 1), (1001, 1), (1380, 1), (1416, 1), (2365, 1), (2471, 1), (2743, 1), (2824, 1), (3611, 1), (3612, 1)], [(18, 1), (20, 2), (32, 1), (50, 1), (64, 2), (66, 1), (71, 1), (117, 2), (173, 1), (226, 1), (233, 1), (324, 1), (706, 1), (759, 2), (910, 1), (1163, 1), (1458, 1), (2691, 1), (3088, 1), (3278, 1), (3613, 1), (3614, 1), (3615, 1)], [(18, 1), (20, 1), (23, 1), (25, 1), (54, 1), (64, 2), (90, 2), (99, 1), (117, 1), (324, 1), (506, 1), (759, 1), (946, 1), (1163, 1), (1578, 1), (2145, 1), (2149, 1), (2498, 1), (2706, 1), (3088, 1), (3176, 1), (3380, 1), (3616, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 2), (25, 1), (54, 1), (58, 1), (64, 1), (117, 3), (173, 1), (236, 1), (256, 1), (287, 1), (295, 2), (759, 1), (990, 1), (1075, 1), (1255, 1), (1458, 1), (1481, 1), (1683, 1), (1691, 1), (1799, 1), (1902, 1), (2145, 1), (2498, 1), (3034, 1), (3264, 1), (3617, 1)], [(20, 2), (21, 3), (23, 1), (99, 4), (185, 1), (226, 1), (506, 1), (645, 1), (946, 1), (1170, 1), (3614, 1), (3618, 3), (3619, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (45, 1), (64, 1), (186, 1), (193, 1), (1044, 1), (1324, 1), (2299, 1), (2397, 1), (2471, 1), (2564, 1), (3614, 1), (3618, 1), (3620, 1), (3621, 1), (3622, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (31, 1), (45, 1), (53, 1), (55, 1), (64, 1), (173, 1), (269, 1), (506, 1), (632, 1), (1163, 1), (2609, 1), (2705, 1), (2828, 1), (3440, 1), (3623, 1), (3624, 1), (3625, 1)], [(8, 1), (18, 2), (25, 1), (31, 1), (36, 1), (82, 1), (185, 1), (256, 1), (697, 1), (792, 1), (795, 1), (1308, 1), (2055, 2), (3626, 1), (3627, 1)], [(8, 1), (18, 1), (23, 1), (30, 1), (193, 1), (1416, 1), (1695, 1), (2296, 1)], [(8, 1), (18, 1), (20, 1), (37, 1), (45, 1), (53, 1), (54, 1), (173, 1), (286, 1), (414, 1), (1695, 1), (2672, 1), (2706, 1), (2985, 1), (3628, 1), (3629, 1)], [(8, 1), (18, 1), (19, 3), (20, 2), (21, 1), (23, 4), (30, 1), (37, 1), (50, 1), (53, 1), (71, 1), (117, 2), (172, 2), (173, 1), (185, 1), (215, 3), (217, 1), (225, 1), (232, 2), (236, 1), (242, 1), (289, 1), (316, 1), (392, 1), (410, 1), (506, 1), (596, 1), (645, 1), (739, 1), (827, 1), (910, 1), (1149, 1), (1731, 2), (2197, 1), (2693, 1), (3630, 1)], [(8, 1), (18, 2), (55, 1), (833, 1), (1164, 1), (1799, 1), (2706, 1), (2982, 1), (3631, 1), (3632, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (23, 2), (25, 1), (30, 3), (31, 2), (45, 1), (55, 1), (58, 1), (64, 2), (99, 1), (111, 2), (188, 1), (190, 1), (233, 1), (328, 1), (990, 1), (1044, 1), (1163, 1), (1485, 1), (2145, 2), (2234, 1), (2898, 1), (3440, 1), (3633, 1), (3634, 1), (3635, 1)], [(8, 1), (18, 1), (23, 1), (31, 1), (55, 1), (117, 1), (301, 1), (506, 1), (645, 1), (759, 1), (1498, 1), (1907, 1), (2471, 1), (2751, 1), (3634, 1)], [(8, 1), (117, 1), (122, 1), (232, 1), (1298, 1)], [(20, 1), (23, 1), (66, 1), (117, 1), (759, 1), (1903, 1), (2011, 1), (3636, 1)], [(18, 1), (19, 4), (20, 2), (21, 2), (23, 1), (25, 1), (50, 1), (66, 1), (106, 1), (112, 1), (117, 1), (173, 1), (193, 1), (215, 2), (269, 1), (273, 1), (289, 1), (295, 1), (428, 1), (506, 1), (632, 1), (759, 1), (772, 1), (776, 1), (777, 1), (827, 1), (1458, 1), (1615, 1), (2471, 1), (3291, 1), (3614, 1), (3637, 1), (3638, 1), (3639, 1), (3640, 1), (3641, 1)], [(20, 2), (23, 1), (64, 2), (66, 1), (99, 1), (233, 1), (287, 1), (830, 1), (1163, 1), (1224, 1), (2824, 1), (3642, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (31, 2), (505, 1), (812, 1), (1296, 1), (1580, 1), (2406, 1), (3266, 1)], [(1544, 1), (3643, 1)], [(8, 1), (24, 1), (3644, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (31, 1), (53, 1), (117, 1), (232, 1), (407, 1), (410, 1), (506, 1), (777, 1), (894, 1), (976, 1), (1069, 1), (1305, 1), (2816, 1), (2926, 1), (3134, 1), (3614, 1), (3645, 1), (3646, 1), (3647, 1), (3648, 1)], [(8, 1), (23, 1), (45, 1), (69, 1), (217, 1), (236, 1), (347, 2), (2705, 1), (3649, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (21, 2), (22, 1), (23, 2), (24, 1), (25, 3), (31, 1), (37, 2), (45, 5), (50, 8), (53, 1), (54, 1), (55, 1), (56, 1), (65, 1), (90, 1), (97, 1), (108, 1), (185, 2), (186, 1), (193, 2), (263, 1), (268, 1), (269, 1), (273, 1), (365, 1), (418, 1), (459, 1), (516, 1), (531, 1), (777, 1), (884, 1), (922, 2), (1069, 3), (2137, 1), (2148, 1), (2163, 1), (2210, 1), (2304, 1), (2442, 1), (2744, 1), (3307, 1), (3361, 1), (3397, 1), (3412, 1), (3426, 1), (3650, 1), (3651, 1), (3652, 1), (3653, 1), (3654, 1), (3655, 1), (3656, 1), (3657, 1), (3658, 1), (3659, 1), (3660, 2), (3661, 1), (3662, 1), (3663, 2), (3664, 1), (3665, 1), (3666, 1)], [(7, 1), (8, 1), (20, 3), (22, 1), (23, 3), (25, 2), (50, 1), (53, 3), (54, 2), (58, 3), (90, 2), (109, 1), (166, 2), (215, 1), (293, 1), (329, 1), (414, 1), (420, 1), (450, 1), (506, 1), (711, 1), (763, 1), (792, 1), (796, 1), (1069, 1), (1308, 1), (1975, 1), (2145, 2), (2262, 1), (3422, 1), (3614, 1), (3662, 1), (3667, 1), (3668, 1), (3669, 1), (3670, 1), (3671, 1), (3672, 1), (3673, 1)], [(8, 1), (459, 1), (1193, 1), (2847, 1), (3674, 1)], [(8, 1), (19, 1), (91, 1), (496, 1), (506, 1), (815, 1), (3675, 1)], [(8, 1), (18, 4), (20, 2), (22, 1), (23, 3), (54, 2), (58, 1), (90, 1), (111, 1), (166, 1), (240, 1), (490, 1), (506, 1), (812, 1), (1277, 1), (2859, 1), (2983, 1), (3013, 1), (3417, 1), (3676, 1), (3677, 1), (3678, 1), (3679, 1), (3680, 1), (3681, 1)], [(8, 1), (24, 1), (54, 1), (185, 1), (3678, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 6), (21, 1), (22, 1), (23, 3), (25, 2), (31, 3), (37, 1), (50, 2), (53, 8), (54, 3), (58, 2), (63, 1), (84, 1), (85, 1), (111, 3), (117, 1), (182, 1), (186, 2), (215, 1), (217, 1), (323, 1), (342, 1), (347, 2), (361, 1), (412, 1), (415, 2), (418, 1), (448, 1), (506, 4), (708, 1), (884, 1), (891, 1), (985, 1), (1102, 1), (1140, 1), (1308, 1), (1342, 1), (1520, 1), (1580, 2), (1667, 1), (1685, 1), (1766, 1), (1825, 1), (1932, 1), (1998, 1), (2327, 1), (2471, 2), (2740, 2), (2870, 1), (3026, 1), (3682, 1), (3683, 1), (3684, 1), (3685, 1), (3686, 1), (3687, 1), (3688, 1), (3689, 1), (3690, 1), (3691, 1), (3692, 1), (3693, 1)], [(8, 1), (23, 1), (3331, 1), (3399, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (23, 1), (25, 1), (31, 1), (53, 2), (54, 1), (55, 1), (58, 1), (108, 1), (186, 1), (215, 3), (268, 1), (293, 2), (301, 1), (328, 1), (810, 1), (884, 1), (1149, 1), (1342, 1), (1450, 1), (1557, 1), (1580, 1), (2036, 1), (2348, 1), (2743, 1), (2841, 1), (2912, 1), (3083, 1), (3274, 1), (3297, 1), (3370, 1), (3694, 1), (3695, 1), (3696, 1)], [(8, 1), (18, 1), (23, 2), (90, 1), (108, 1), (166, 1), (203, 1), (307, 1), (328, 1), (1665, 1), (2324, 1), (3697, 1), (3698, 1), (3699, 1), (3700, 1), (3701, 1), (3702, 1), (3703, 1)], [(31, 1), (247, 1), (1665, 1), (2471, 1), (3704, 1)], [(8, 1), (19, 1), (50, 2), (53, 1), (58, 1), (342, 1), (626, 1), (1580, 1), (3121, 1), (3705, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (31, 2), (37, 1), (42, 1), (50, 2), (53, 5), (54, 1), (58, 1), (193, 1), (278, 1), (293, 1), (331, 1), (334, 1), (777, 1), (1657, 1), (2321, 1), (2365, 1), (2492, 1), (3426, 1), (3706, 1), (3707, 1), (3708, 1), (3709, 1), (3710, 1)], [(8, 1), (18, 2), (19, 2), (20, 5), (21, 1), (22, 1), (23, 2), (25, 3), (31, 1), (50, 1), (85, 1), (108, 1), (186, 1), (193, 2), (215, 1), (256, 1), (310, 1), (406, 1), (506, 2), (531, 1), (691, 1), (694, 1), (704, 2), (744, 1), (1149, 1), (1159, 2), (1175, 1), (1342, 1), (1580, 3), (1597, 1), (1764, 1), (1856, 1), (2005, 1), (2178, 1), (2344, 1), (2470, 2), (2785, 1), (2825, 1), (3083, 1), (3331, 1), (3691, 1), (3711, 1), (3712, 1), (3713, 1), (3714, 1), (3715, 1), (3716, 1), (3717, 1), (3718, 1), (3719, 1), (3720, 1)], [(8, 1), (19, 2), (20, 1), (23, 1), (25, 2), (50, 1), (53, 1), (54, 1), (287, 1), (301, 1), (347, 1), (407, 1), (454, 1), (626, 1), (1322, 1), (1580, 1), (2743, 1), (3721, 1), (3722, 1)], [(8, 1), (18, 1), (20, 2), (23, 2), (40, 1), (53, 1), (109, 1), (172, 1), (260, 1), (286, 1), (328, 1), (334, 1), (605, 1), (738, 1), (833, 1), (1665, 1), (2324, 1), (2340, 1), (2470, 1), (3072, 1), (3181, 1), (3723, 1), (3724, 1), (3725, 1), (3726, 1), (3727, 1)], [(8, 1), (18, 2), (20, 1), (21, 2), (22, 1), (23, 2), (25, 2), (31, 2), (32, 1), (50, 1), (53, 1), (54, 1), (58, 1), (65, 1), (109, 1), (172, 1), (203, 1), (261, 1), (307, 1), (428, 1), (1350, 1), (1557, 1), (1580, 1), (2283, 1), (2344, 1), (2359, 1), (2391, 1), (2743, 1), (2896, 1), (3375, 1), (3426, 1), (3648, 1), (3728, 1), (3729, 1), (3730, 1), (3731, 1), (3732, 1), (3733, 1), (3734, 1)], [(8, 1), (18, 2), (19, 2), (20, 1), (22, 2), (23, 1), (25, 1), (31, 1), (37, 1), (54, 2), (71, 2), (75, 1), (92, 1), (182, 1), (256, 1), (527, 2), (725, 1), (903, 1), (1580, 1), (2030, 1), (2495, 1), (3331, 1), (3480, 1), (3735, 1), (3736, 1), (3737, 1), (3738, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (25, 1), (53, 3), (65, 1), (75, 1), (97, 1), (111, 1), (632, 1), (777, 1), (903, 1), (1069, 1), (1080, 1), (1193, 1), (1362, 1), (1580, 1), (1689, 1), (1699, 1), (1890, 1), (2161, 1), (2471, 1), (2581, 1), (2632, 1), (3307, 1), (3739, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 2), (40, 1), (53, 2), (55, 1), (58, 1), (71, 1), (75, 1), (82, 1), (90, 1), (96, 1), (166, 1), (256, 1), (269, 1), (285, 1), (286, 1), (328, 1), (407, 1), (414, 1), (504, 1), (903, 1), (1324, 1), (1364, 1), (1580, 1), (1824, 1), (2034, 1), (2324, 1), (2556, 1), (2716, 1), (3358, 1), (3578, 1), (3740, 2), (3741, 1), (3742, 1), (3743, 1), (3744, 1), (3745, 1), (3746, 1), (3747, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 3), (25, 3), (31, 2), (37, 1), (53, 2), (58, 1), (82, 1), (108, 1), (109, 1), (185, 1), (193, 1), (256, 1), (288, 1), (412, 1), (482, 1), (506, 1), (1149, 1), (1324, 1), (1644, 1), (2344, 1), (2523, 1), (2926, 1), (3254, 1), (3411, 1), (3648, 1), (3675, 1), (3748, 1), (3749, 1), (3750, 1), (3751, 1), (3752, 1), (3753, 1), (3754, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (55, 1), (58, 1), (185, 1), (452, 1), (1149, 1), (2361, 1), (3755, 1), (3756, 1), (3757, 1)], [(8, 1), (19, 1), (20, 4), (23, 1), (25, 2), (31, 2), (53, 2), (75, 1), (88, 1), (97, 1), (117, 1), (186, 1), (193, 1), (232, 1), (346, 1), (414, 1), (450, 1), (452, 1), (459, 1), (506, 1), (739, 1), (834, 1), (976, 1), (1069, 1), (1122, 1), (1324, 1), (1580, 1), (2495, 1), (3072, 1), (3140, 1), (3417, 1), (3560, 1), (3614, 1), (3648, 1), (3674, 1), (3738, 1), (3741, 1), (3758, 1), (3759, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (23, 1), (25, 1), (31, 1), (37, 1), (53, 2), (117, 1), (193, 1), (232, 1), (269, 2), (301, 1), (406, 1), (627, 1), (897, 1), (1224, 1), (1308, 1), (2324, 1), (3680, 1), (3760, 1), (3761, 1), (3762, 1), (3763, 1), (3764, 1), (3765, 1), (3766, 1)], [(8, 1), (19, 1), (20, 3), (21, 2), (23, 1), (45, 2), (54, 1), (173, 2), (215, 2), (256, 1), (286, 1), (434, 1), (506, 1), (743, 1), (983, 1), (1069, 1), (1102, 2), (1596, 1), (1702, 1), (1824, 1), (2994, 1), (3333, 1), (3767, 1), (3768, 1), (3769, 1), (3770, 1), (3771, 1), (3772, 1), (3773, 1), (3774, 1)], [(19, 1), (23, 1), (30, 1), (32, 1), (1178, 1), (1198, 1), (3614, 1), (3775, 1), (3776, 1)], [(8, 1), (18, 1), (21, 1), (45, 1), (54, 1), (256, 1), (1308, 1), (2084, 1), (3777, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (25, 1), (31, 1), (58, 1), (65, 1), (215, 1), (446, 1), (459, 1), (504, 1), (777, 1), (897, 1), (1580, 1), (1856, 1), (2163, 1), (3072, 1), (3331, 1), (3355, 1), (3778, 1), (3779, 1), (3780, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (53, 3), (58, 1), (65, 1), (117, 1), (215, 1), (232, 1), (328, 1), (459, 1), (504, 1), (632, 1), (2324, 1), (2712, 1), (2994, 1), (3307, 1), (3440, 1), (3494, 1), (3781, 1), (3782, 1), (3783, 1), (3784, 1)], [(18, 3), (20, 3), (22, 1), (23, 1), (25, 1), (31, 2), (53, 1), (55, 1), (126, 1), (226, 1), (236, 1), (247, 1), (361, 1), (1172, 1), (2321, 1), (2340, 1), (2625, 1), (2706, 1), (2847, 1), (3440, 1), (3711, 1), (3785, 1)], [(20, 2), (31, 1), (50, 1), (53, 1), (64, 1), (81, 1), (1178, 1), (1229, 1), (3614, 2), (3786, 1), (3787, 1)], [(7, 1), (8, 1), (18, 5), (19, 1), (20, 10), (22, 1), (23, 2), (25, 5), (30, 1), (31, 3), (37, 1), (45, 3), (50, 4), (53, 2), (65, 1), (71, 1), (82, 1), (90, 1), (109, 1), (173, 2), (186, 1), (193, 1), (215, 2), (253, 1), (261, 1), (281, 1), (288, 1), (289, 1), (328, 1), (406, 1), (410, 1), (426, 1), (504, 1), (506, 2), (516, 1), (626, 1), (680, 1), (777, 2), (792, 1), (813, 1), (903, 1), (1069, 1), (1102, 1), (1180, 1), (1227, 1), (1377, 1), (1555, 1), (1557, 1), (1695, 1), (1731, 1), (1901, 1), (2018, 1), (2359, 1), (2367, 1), (2390, 1), (2424, 1), (2471, 1), (2604, 1), (2948, 1), (3549, 1), (3592, 1), (3672, 1), (3681, 1), (3750, 1), (3788, 1), (3789, 1), (3790, 1), (3791, 1), (3792, 1), (3793, 1), (3794, 1), (3795, 1), (3796, 1), (3797, 1), (3798, 1), (3799, 1), (3800, 1), (3801, 1), (3802, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (30, 1), (32, 1), (268, 1), (281, 1), (293, 1), (1134, 1), (1498, 1), (1638, 1), (2324, 1), (3305, 1), (3467, 1), (3495, 1), (3803, 1), (3804, 1), (3805, 1), (3806, 1), (3807, 1)], [(7, 1), (8, 1), (19, 4), (20, 9), (22, 1), (25, 4), (45, 2), (50, 1), (53, 4), (58, 2), (78, 1), (85, 1), (90, 1), (173, 3), (186, 1), (193, 1), (215, 1), (237, 1), (281, 1), (285, 1), (353, 1), (459, 1), (504, 1), (506, 3), (526, 1), (763, 1), (897, 1), (903, 1), (1149, 1), (1594, 1), (2165, 1), (2242, 1), (2266, 1), (2344, 1), (2523, 1), (2666, 1), (2985, 1), (3013, 1), (3046, 1), (3200, 1), (3202, 1), (3274, 1), (3352, 1), (3366, 1), (3808, 1), (3809, 2), (3810, 1), (3811, 1), (3812, 1)], [(8, 1), (18, 1), (20, 6), (22, 2), (23, 1), (50, 1), (53, 2), (58, 1), (77, 3), (96, 1), (99, 1), (172, 1), (185, 1), (190, 1), (206, 1), (214, 1), (256, 1), (273, 1), (288, 1), (452, 1), (531, 1), (711, 1), (1487, 1), (1511, 1), (1975, 1), (2053, 1), (2120, 1), (3144, 1), (3409, 1), (3546, 1), (3614, 1), (3813, 1), (3814, 1), (3815, 1), (3816, 1), (3817, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (23, 2), (25, 2), (30, 1), (37, 1), (45, 1), (50, 2), (53, 3), (54, 1), (55, 1), (108, 1), (109, 1), (173, 1), (185, 1), (193, 1), (289, 1), (293, 1), (334, 1), (506, 1), (963, 1), (1276, 1), (1296, 1), (1342, 1), (1529, 1), (1580, 2), (1597, 1), (1877, 1), (2031, 1), (2471, 1), (3061, 1), (3614, 1), (3818, 1), (3819, 1), (3820, 1), (3821, 1), (3822, 1), (3823, 1), (3824, 1), (3825, 1), (3826, 1), (3827, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (34, 1), (45, 1), (99, 1), (117, 1), (173, 1), (197, 1), (240, 1), (361, 1), (459, 1), (516, 1), (645, 1), (759, 1), (1907, 1), (3614, 1), (3828, 1), (3829, 1), (3830, 1), (3831, 1), (3832, 1)], [(7, 3), (8, 1), (18, 1), (20, 3), (21, 2), (25, 1), (36, 1), (45, 3), (53, 1), (173, 1), (186, 1), (193, 1), (269, 1), (452, 1), (897, 1), (1702, 1), (2313, 1), (2434, 1), (3357, 1), (3445, 1), (3446, 1), (3540, 1), (3833, 1), (3834, 1), (3835, 1), (3836, 1), (3837, 1)], [(7, 1), (8, 1), (19, 2), (20, 6), (21, 2), (22, 2), (23, 3), (25, 2), (31, 1), (40, 1), (45, 2), (50, 2), (53, 2), (54, 2), (58, 1), (71, 1), (75, 1), (77, 1), (90, 1), (108, 1), (109, 1), (161, 1), (173, 2), (193, 1), (256, 1), (268, 1), (314, 1), (414, 2), (420, 2), (596, 1), (608, 1), (645, 1), (792, 1), (1072, 1), (1102, 1), (1377, 2), (1487, 2), (1896, 1), (1981, 1), (2030, 1), (2145, 1), (2313, 2), (2320, 1), (2471, 1), (3035, 1), (3129, 1), (3134, 1), (3446, 1), (3838, 1), (3839, 1), (3840, 1), (3841, 1), (3842, 1), (3843, 1), (3844, 1), (3845, 1), (3846, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (31, 1), (34, 1), (53, 1), (54, 1), (99, 1), (301, 1), (1188, 1), (1685, 1), (1911, 1), (1993, 1), (3614, 1), (3804, 1), (3847, 1), (3848, 1), (3849, 1)], [(8, 1), (19, 1), (31, 1), (36, 1), (45, 1), (53, 1), (54, 1), (708, 1), (1450, 1), (1731, 1), (1966, 1), (3813, 1), (3850, 1), (3851, 1), (3852, 1), (3853, 1)], [(8, 1), (54, 1), (82, 1), (1824, 1), (3000, 1), (3854, 1), (3855, 1)], [(8, 1), (36, 1), (54, 1), (531, 1), (3856, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (37, 1), (50, 1), (53, 1), (55, 1), (82, 3), (91, 1), (172, 2), (173, 4), (193, 1), (217, 2), (256, 1), (285, 2), (347, 2), (414, 1), (452, 1), (504, 1), (812, 1), (869, 1), (897, 1), (1377, 1), (1417, 1), (1487, 1), (1642, 1), (1702, 1), (2140, 1), (2313, 1), (2471, 1), (2712, 1), (3061, 1), (3121, 1), (3733, 1), (3813, 1), (3857, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (21, 2), (25, 4), (30, 1), (45, 3), (50, 2), (53, 2), (55, 1), (82, 2), (173, 1), (193, 1), (215, 1), (261, 1), (287, 1), (289, 2), (310, 1), (353, 1), (410, 1), (452, 1), (504, 1), (708, 1), (763, 1), (777, 1), (827, 1), (902, 1), (974, 1), (1171, 1), (1417, 1), (1525, 1), (1610, 1), (1964, 1), (2173, 1), (2275, 1), (2313, 1), (2344, 1), (2359, 1), (2423, 1), (2743, 1), (2756, 1), (2841, 1), (2911, 1), (2926, 1), (3149, 1), (3446, 1), (3858, 1), (3859, 1), (3860, 1), (3861, 1), (3862, 1), (3863, 1)], [(8, 1), (18, 1), (19, 3), (20, 8), (22, 1), (23, 2), (25, 5), (30, 1), (32, 1), (45, 3), (53, 5), (55, 1), (90, 3), (124, 2), (166, 1), (184, 1), (215, 4), (239, 1), (240, 1), (256, 1), (268, 1), (328, 1), (353, 1), (410, 1), (414, 1), (428, 2), (452, 1), (459, 1), (827, 1), (884, 1), (1134, 1), (1450, 1), (1615, 1), (1627, 1), (1974, 1), (2016, 1), (2313, 1), (2321, 1), (2492, 1), (2655, 1), (2686, 1), (2743, 1), (2983, 1), (3111, 1), (3367, 1), (3446, 1), (3614, 1), (3652, 1), (3864, 1), (3865, 1), (3866, 1), (3867, 1), (3868, 1), (3869, 1), (3870, 1), (3871, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (36, 1), (416, 1), (897, 1), (1377, 1), (3303, 1), (3637, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 1), (45, 3), (53, 1), (55, 1), (90, 1), (161, 1), (172, 1), (256, 1), (285, 1), (1164, 1), (1342, 1), (1354, 1), (1377, 1), (1580, 1), (1669, 1), (2359, 1), (2926, 1), (2977, 1), (2995, 1), (3468, 1), (3614, 1), (3872, 1), (3873, 1), (3874, 1), (3875, 1)], [(8, 1), (18, 1), (20, 2), (25, 2), (36, 1), (45, 2), (50, 1), (53, 1), (58, 1), (65, 1), (186, 1), (414, 1), (428, 1), (680, 1), (800, 1), (897, 1), (1931, 1), (2320, 1), (2611, 1), (2766, 1), (2977, 1), (3303, 1), (3357, 1), (3876, 1), (3877, 1), (3878, 1), (3879, 1), (3880, 1), (3881, 1)], [(8, 1), (18, 2), (19, 2), (20, 8), (23, 1), (25, 2), (34, 1), (45, 3), (50, 2), (53, 6), (54, 1), (58, 1), (85, 1), (109, 1), (111, 1), (173, 2), (174, 1), (186, 1), (305, 1), (414, 1), (420, 1), (706, 1), (884, 1), (1139, 1), (1430, 1), (1964, 1), (2259, 1), (2457, 1), (2464, 1), (2466, 1), (2471, 1), (2688, 1), (3404, 1), (3539, 1), (3827, 1), (3882, 1), (3883, 1), (3884, 1), (3885, 1), (3886, 1), (3887, 1), (3888, 1), (3889, 1), (3890, 1), (3891, 1), (3892, 1), (3893, 1), (3894, 1), (3895, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (55, 1), (77, 1), (117, 1), (185, 1), (232, 1), (454, 1), (3144, 1), (3614, 1), (3896, 1), (3897, 1), (3898, 1), (3899, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 2), (25, 1), (50, 2), (53, 3), (77, 1), (96, 1), (174, 1), (185, 1), (193, 1), (214, 1), (288, 1), (353, 1), (420, 1), (426, 1), (706, 1), (988, 1), (1160, 1), (1720, 1), (2029, 1), (2241, 1), (2259, 1), (2466, 1), (2467, 1), (2714, 1), (3034, 1), (3334, 1), (3900, 1), (3901, 1), (3902, 1)], [(8, 1), (18, 1), (20, 3), (24, 1), (25, 2), (31, 1), (45, 3), (50, 2), (53, 1), (54, 1), (85, 1), (117, 1), (173, 1), (186, 1), (232, 1), (334, 1), (516, 1), (728, 1), (1627, 1), (2259, 1), (2656, 1), (2743, 1), (2887, 1), (3360, 1), (3734, 1), (3871, 1), (3903, 1), (3904, 1), (3905, 1), (3906, 1), (3907, 1), (3908, 1)], [(1544, 1), (3909, 1)], [(8, 1), (3910, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (53, 2), (65, 1), (428, 1), (452, 1), (2351, 1), (2743, 1), (2770, 1), (2824, 1), (3088, 1), (3105, 1), (3911, 1), (3912, 1), (3913, 1), (3914, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (30, 1), (31, 1), (50, 1), (53, 1), (55, 1), (82, 1), (173, 1), (217, 1), (268, 1), (347, 1), (433, 1), (506, 1), (884, 1), (1102, 1), (1196, 1), (1580, 1), (3202, 1), (3915, 1), (3916, 1), (3917, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (25, 1), (53, 2), (77, 1), (117, 1), (124, 1), (232, 1), (278, 1), (387, 2), (678, 1), (1964, 1), (2178, 3), (2387, 1), (2500, 1), (3918, 1), (3919, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (25, 1), (30, 2), (31, 2), (45, 1), (71, 2), (82, 1), (90, 1), (108, 1), (161, 1), (229, 1), (241, 1), (256, 1), (269, 1), (498, 2), (504, 1), (645, 1), (697, 1), (788, 1), (1377, 1), (2059, 1), (2178, 1), (2920, 1), (3044, 1), (3138, 1), (3583, 1), (3920, 1), (3921, 1), (3922, 1), (3923, 1), (3924, 1)], [(8, 1), (20, 1), (30, 1), (31, 1), (53, 1), (71, 1), (77, 1), (90, 2), (99, 1), (108, 1), (124, 1), (225, 1), (328, 1), (331, 1), (342, 1), (410, 1), (645, 2), (833, 1), (1499, 1), (1541, 1), (2005, 1), (3925, 1), (3926, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (24, 1), (25, 1), (31, 1), (32, 1), (50, 1), (53, 2), (54, 1), (65, 1), (82, 1), (193, 1), (215, 1), (217, 1), (263, 1), (283, 1), (323, 1), (347, 3), (1170, 1), (1224, 1), (1667, 1), (1824, 1), (2178, 1), (2743, 1), (2770, 1), (3146, 1), (3148, 1)], [(8, 1), (18, 1), (20, 10), (22, 3), (25, 8), (37, 2), (55, 1), (108, 1), (365, 3), (459, 1), (530, 1), (531, 1), (709, 1), (753, 1), (775, 1), (1241, 1), (1471, 1), (1792, 1), (2077, 1), (2885, 1), (2887, 1), (2916, 1), (2926, 1), (2938, 1), (2947, 1), (3001, 1), (3350, 1), (3696, 1), (3927, 1), (3928, 1), (3929, 1), (3930, 1), (3931, 1), (3932, 1), (3933, 1), (3934, 3), (3935, 1)], [(8, 1), (166, 1), (174, 1), (217, 1), (269, 1), (288, 1), (347, 1), (602, 1), (892, 1), (1129, 1), (1172, 1), (2145, 1), (2705, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (31, 1), (45, 1), (65, 1), (69, 1), (77, 1), (106, 1), (109, 1), (117, 1), (172, 1), (173, 1), (215, 1), (217, 1), (232, 1), (285, 1), (394, 1), (412, 1), (516, 1), (846, 1), (1072, 1), (1180, 1), (1248, 1), (1470, 1), (1488, 1), (1860, 1), (2235, 1), (2950, 1), (3426, 1), (3936, 1), (3937, 1), (3938, 1), (3939, 1), (3940, 1)], [(8, 1), (18, 2), (22, 1), (30, 2), (31, 1), (50, 1), (77, 1), (99, 1), (273, 1), (601, 1), (645, 1), (658, 1), (924, 1), (1520, 1), (2600, 1), (3134, 1), (3641, 1), (3941, 1), (3942, 1), (3943, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (50, 1), (53, 1), (225, 1), (256, 1), (359, 1), (879, 1), (892, 1), (1702, 1), (2985, 1), (3420, 1), (3696, 1), (3754, 1), (3944, 1), (3945, 1), (3946, 1), (3947, 1), (3948, 1), (3949, 1), (3950, 1), (3951, 1)], [(18, 1), (166, 1), (301, 1), (323, 1), (516, 1), (1714, 1), (3614, 1), (3852, 1), (3936, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (31, 1), (53, 1), (55, 1), (97, 1), (117, 1), (269, 1), (516, 1), (903, 1), (2148, 1), (2258, 1), (2683, 1), (3852, 1), (3952, 1), (3953, 1), (3954, 1), (3955, 1), (3956, 1), (3957, 1), (3958, 1), (3959, 2)], [(20, 1), (64, 1), (1178, 1), (3960, 1), (3961, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (32, 1), (53, 1), (419, 1), (430, 1), (2345, 1), (2348, 1), (2824, 1), (2925, 1), (3962, 1), (3963, 1)], [(8, 1), (20, 2), (31, 2), (53, 1), (56, 1), (65, 1), (90, 1), (172, 1), (182, 1), (193, 1), (273, 1), (323, 1), (530, 1), (600, 1), (1005, 1), (1288, 1), (1305, 1), (1929, 2), (2916, 1), (2986, 1), (3227, 1), (3522, 1)], [(8, 1), (20, 5), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 4), (202, 1), (269, 1), (334, 1), (392, 1), (600, 1), (711, 1), (1102, 1), (1118, 1), (1288, 1), (1999, 1), (2029, 1), (2593, 1), (3964, 1), (3965, 1), (3966, 1), (3967, 1), (3968, 1), (3969, 1), (3970, 1)], [(7, 1), (8, 1), (18, 3), (20, 5), (21, 1), (23, 1), (29, 1), (31, 2), (50, 5), (53, 5), (54, 1), (71, 1), (82, 1), (97, 1), (111, 1), (117, 1), (174, 1), (175, 1), (178, 1), (185, 1), (215, 1), (232, 1), (259, 1), (273, 1), (301, 1), (414, 1), (452, 1), (454, 1), (531, 1), (792, 1), (795, 1), (830, 1), (1012, 1), (1499, 1), (1841, 1), (1931, 1), (2086, 1), (2099, 1), (2105, 1), (2186, 1), (2409, 1), (3964, 1), (3965, 1), (3971, 1), (3972, 1), (3973, 1), (3974, 1), (3975, 1), (3976, 1), (3977, 1), (3978, 1), (3979, 1), (3980, 1), (3981, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (53, 1), (71, 1), (77, 1), (90, 1), (108, 1), (347, 1), (387, 1), (407, 1), (813, 1), (1596, 1), (3136, 1), (3982, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (23, 1), (25, 1), (37, 1), (53, 2), (54, 1), (90, 1), (193, 1), (197, 1), (214, 1), (226, 1), (268, 1), (337, 1), (410, 1), (419, 1), (448, 1), (459, 1), (645, 1), (809, 1), (1241, 1), (1456, 1), (1580, 1), (1699, 1), (1731, 1), (2096, 1), (2178, 1), (2766, 1), (3121, 1), (3210, 1), (3448, 1), (3678, 1), (3983, 1), (3984, 1), (3985, 1), (3986, 1), (3987, 1), (3988, 1)], [(8, 1), (20, 1), (82, 1), (90, 1), (256, 1), (331, 1), (711, 1), (1308, 1), (2304, 1), (3989, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (21, 4), (22, 1), (25, 2), (37, 2), (50, 6), (53, 4), (65, 1), (85, 1), (91, 2), (187, 1), (193, 2), (215, 2), (217, 1), (226, 2), (228, 1), (283, 1), (334, 1), (347, 2), (365, 1), (399, 1), (414, 1), (415, 1), (448, 1), (459, 1), (518, 1), (654, 2), (711, 2), (753, 1), (812, 1), (893, 1), (922, 1), (1012, 1), (1102, 1), (1122, 1), (1129, 1), (1227, 1), (1668, 1), (1695, 1), (1778, 1), (1824, 1), (2086, 1), (2186, 1), (2766, 1), (3700, 1), (3962, 1), (3990, 1), (3991, 1), (3992, 1), (3993, 1), (3994, 1), (3995, 1), (3996, 1), (3997, 1), (3998, 1), (3999, 1), (4000, 1), (4001, 1), (4002, 1)], [(20, 1), (22, 1), (126, 1), (206, 2), (247, 1), (1471, 1), (1668, 1), (2939, 1), (3495, 1), (4003, 1), (4004, 1), (4005, 1)], [(8, 1), (20, 3), (21, 2), (22, 1), (50, 1), (53, 2), (58, 1), (91, 1), (108, 1), (193, 1), (215, 3), (278, 1), (293, 1), (301, 1), (328, 1), (399, 1), (531, 1), (706, 1), (1227, 1), (2149, 1), (2766, 1), (3197, 1), (3403, 1), (3614, 2), (4006, 1)], [(8, 1), (23, 1), (45, 1), (71, 1), (108, 1), (273, 1), (289, 1), (553, 1), (1072, 1), (1541, 1), (3818, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (30, 2), (45, 2), (50, 1), (53, 3), (55, 2), (58, 2), (82, 1), (166, 1), (172, 1), (228, 1), (328, 1), (428, 1), (433, 1), (654, 1), (777, 1), (1481, 1), (1608, 1), (1811, 1), (2259, 1), (2766, 1), (3000, 1), (3724, 1), (3898, 1), (3962, 1), (4007, 1), (4008, 1), (4009, 1), (4010, 1), (4011, 1), (4012, 1), (4013, 1), (4014, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (25, 1), (30, 1), (31, 1), (54, 1), (58, 1), (77, 1), (90, 1), (117, 1), (197, 1), (232, 1), (269, 1), (301, 1), (407, 1), (452, 1), (1115, 1), (1685, 2), (1779, 1), (2005, 1), (2654, 1), (3052, 1), (3181, 1), (4015, 2), (4016, 1), (4017, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (37, 1), (45, 1), (50, 1), (82, 1), (117, 1), (173, 1), (190, 1), (226, 1), (232, 1), (288, 1), (751, 1), (886, 1), (1266, 1), (1589, 1), (2446, 1), (3181, 1), (3425, 1), (3487, 1), (3614, 1), (4008, 1), (4018, 1), (4019, 1), (4020, 1), (4021, 1)], [(8, 1), (18, 1), (20, 4), (23, 1), (25, 2), (45, 2), (53, 2), (54, 2), (55, 1), (65, 1), (85, 1), (90, 1), (108, 1), (173, 1), (328, 1), (414, 1), (420, 2), (428, 1), (516, 1), (777, 1), (1044, 1), (1638, 1), (2376, 1), (2397, 1), (2656, 1), (2743, 1), (3283, 1), (3440, 1), (3446, 1), (3634, 1), (3962, 1), (4022, 1), (4023, 1), (4024, 1), (4025, 1), (4026, 1), (4027, 1)], [(1544, 1), (4028, 1)], [(8, 1), (24, 1), (4029, 1)], [(8, 1), (18, 2), (20, 1), (23, 1), (50, 3), (53, 2), (90, 1), (92, 1), (193, 1), (215, 1), (217, 1), (281, 1), (293, 1), (347, 1), (399, 1), (444, 1), (531, 1), (763, 2), (869, 1), (1272, 1), (1519, 1), (1580, 1), (1627, 1), (1657, 1), (1691, 1), (1931, 1), (1999, 1), (2213, 1), (2560, 1), (3328, 1), (3546, 1), (3614, 1), (3646, 1), (3813, 1), (4026, 1), (4030, 1), (4031, 1), (4032, 1), (4033, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (109, 1), (161, 1), (190, 1), (239, 1), (359, 1), (764, 1), (1695, 1), (1732, 1), (1937, 1), (2137, 1), (2226, 1), (2425, 1), (4034, 1), (4035, 1), (4036, 1), (4037, 1), (4038, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (53, 1), (190, 1), (275, 1), (1657, 1), (2934, 1), (3457, 1), (4039, 1), (4040, 1), (4041, 1), (4042, 1), (4043, 1), (4044, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (31, 1), (53, 2), (77, 1), (82, 1), (172, 1), (193, 1), (3041, 1), (3476, 1), (3756, 1), (3990, 1), (4029, 1), (4045, 1), (4046, 1), (4047, 1), (4048, 1), (4049, 1), (4050, 1), (4051, 1), (4052, 1)], [(8, 1), (25, 1), (37, 1), (301, 1), (1828, 1), (1999, 1), (2213, 1), (4029, 1), (4053, 1), (4054, 1)], [(8, 1), (20, 1), (22, 3), (31, 1), (34, 1), (50, 1), (65, 1), (99, 1), (184, 1), (193, 1), (206, 1), (228, 1), (256, 1), (283, 1), (359, 1), (414, 1), (442, 1), (450, 1), (800, 1), (914, 1), (1308, 1), (1447, 1), (1511, 1), (1824, 1), (1999, 1), (2076, 1), (2213, 1), (2344, 1), (3410, 1), (4055, 1), (4056, 1), (4057, 1), (4058, 1), (4059, 1), (4060, 1), (4061, 1)], [(8, 1), (18, 1), (122, 1), (3040, 1), (4062, 1), (4063, 1)], [(8, 1), (20, 9), (25, 2), (34, 1), (50, 1), (53, 4), (65, 1), (97, 1), (99, 1), (124, 2), (190, 1), (301, 1), (372, 2), (410, 1), (415, 1), (1657, 1), (1702, 1), (2096, 1), (2164, 1), (2168, 1), (2239, 1), (2821, 1), (3052, 1), (3495, 1), (3761, 1), (4064, 1), (4065, 1), (4066, 1), (4067, 1), (4068, 1), (4069, 1), (4070, 1)], [(8, 1), (20, 1), (25, 2), (31, 2), (37, 1), (50, 1), (53, 1), (108, 1), (185, 1), (351, 1), (600, 1), (1131, 1), (1691, 1), (1770, 1), (1833, 1), (1918, 1), (1999, 1), (2575, 1), (4071, 1), (4072, 1), (4073, 1), (4074, 1), (4075, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (32, 1), (50, 1), (53, 2), (65, 1), (95, 1), (172, 1), (214, 1), (323, 1), (530, 1), (1379, 1), (1830, 1), (2235, 1), (4076, 1), (4077, 1), (4078, 1), (4079, 1), (4080, 1), (4081, 1), (4082, 1), (4083, 1), (4084, 1)], [(8, 1), (53, 1), (214, 1), (215, 2), (426, 1), (711, 1), (1131, 1), (3990, 1), (3991, 1), (4085, 1), (4086, 1)], [(8, 1), (18, 1), (51, 1), (91, 1), (99, 1), (256, 1), (285, 1), (342, 1), (359, 1), (448, 1), (487, 1), (1520, 1), (1665, 1)], [(247, 1), (328, 1), (1670, 1)], [(8, 1), (53, 1), (90, 1), (1122, 1), (2464, 1), (2901, 1), (4087, 1)], [(8, 1), (18, 2), (20, 1), (25, 2), (28, 1), (36, 1), (55, 1), (65, 3), (349, 1), (633, 1), (1960, 1), (2864, 1), (3445, 1), (3446, 1), (4088, 1), (4089, 1), (4090, 1), (4091, 1)], [(8, 1), (18, 2), (25, 1), (55, 1), (325, 1), (2265, 1), (3036, 1), (4092, 1), (4093, 1), (4094, 1), (4095, 1), (4096, 1)], [(8, 1), (18, 3), (20, 2), (21, 2), (23, 1), (31, 2), (45, 2), (50, 1), (53, 1), (55, 1), (65, 3), (90, 1), (108, 1), (190, 2), (269, 1), (398, 1), (412, 1), (418, 1), (445, 1), (559, 2), (739, 1), (873, 1), (1165, 1), (1180, 1), (1354, 1), (1691, 1), (1898, 1), (3427, 1), (3790, 1), (4097, 1), (4098, 1), (4099, 2), (4100, 1), (4101, 1), (4102, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (34, 1), (45, 1), (53, 3), (58, 1), (65, 1), (95, 1), (99, 1), (173, 1), (185, 1), (281, 1), (334, 1), (346, 1), (420, 1), (428, 1), (445, 1), (487, 1), (516, 1), (706, 1), (743, 1), (885, 1), (1747, 1), (1811, 1), (3539, 1), (3761, 1), (4037, 1), (4073, 1), (4099, 1), (4103, 1), (4104, 1), (4105, 1)], [(8, 1), (19, 2), (20, 1), (22, 1), (45, 3), (65, 2), (173, 1), (359, 1), (365, 1), (1997, 1), (3837, 1), (4106, 1), (4107, 1), (4108, 1), (4109, 1), (4110, 1), (4111, 1), (4112, 1)], [(20, 1), (65, 1), (178, 1), (247, 1), (2058, 1), (4113, 1), (4114, 1)], [(8, 1), (20, 5), (25, 1), (31, 1), (37, 1), (50, 1), (53, 3), (190, 1), (288, 1), (310, 1), (357, 1), (420, 1), (556, 1), (763, 1), (834, 1), (998, 1), (1585, 1), (2465, 1), (4108, 1), (4111, 2), (4115, 1), (4116, 1), (4117, 1), (4118, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (82, 1), (90, 1), (185, 1), (225, 1), (301, 1), (342, 1), (775, 1), (1159, 1), (1308, 1), (1691, 1), (2240, 1), (3410, 1), (3852, 1), (4119, 1), (4120, 1)], [(8, 1), (37, 1), (193, 1), (1118, 1)], [(8, 1), (18, 1), (52, 1), (77, 1), (1999, 1), (2184, 1), (2213, 1), (3136, 1)], [(8, 1), (20, 1), (31, 1), (50, 2), (53, 1), (58, 1), (82, 1), (90, 1), (108, 1), (172, 1), (185, 1), (215, 2), (217, 2), (285, 1), (361, 1), (405, 1), (434, 1), (791, 1), (1066, 1), (1471, 1), (1499, 1), (2465, 1), (2937, 1), (4121, 1), (4122, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (58, 1), (77, 1), (209, 1), (214, 1), (269, 1), (293, 1), (445, 1), (626, 1), (711, 1), (1159, 1), (1170, 1), (1966, 1), (2137, 1), (4123, 1), (4124, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (31, 2), (37, 1), (53, 1), (77, 1), (1392, 1), (1499, 1), (1691, 1), (1999, 1), (2184, 1), (2593, 1), (3476, 1), (4125, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (50, 2), (77, 1), (82, 1), (94, 1), (122, 1), (256, 1), (284, 1), (392, 1), (405, 2), (441, 1), (516, 1), (537, 1), (1966, 1), (2512, 1), (4126, 1)], [(8, 1), (22, 1), (24, 1), (31, 1), (53, 1), (55, 2), (65, 1), (82, 1), (91, 1), (711, 1), (742, 1), (1262, 1), (1342, 1), (1657, 1), (1685, 2), (1911, 1), (2680, 1), (4127, 1), (4128, 1), (4129, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 3), (37, 1), (50, 1), (65, 1), (99, 1), (124, 2), (169, 1), (185, 1), (190, 1), (516, 1), (833, 1), (1742, 1), (1951, 1), (1999, 1), (2213, 1), (4130, 1), (4131, 1), (4132, 1), (4133, 1), (4134, 1), (4135, 1), (4136, 1)], [(426, 1), (711, 1), (1714, 1), (4137, 1)], [(18, 1), (50, 1), (185, 1), (281, 1), (288, 1), (445, 1), (776, 1), (1714, 1), (4138, 1), (4139, 1), (4140, 1)], [(8, 1), (20, 1), (25, 2), (53, 1), (71, 1), (190, 1), (281, 1), (324, 1), (1122, 1), (1169, 1), (1678, 1), (1729, 1), (2718, 1), (2734, 1), (4141, 1), (4142, 1), (4143, 1), (4144, 1), (4145, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (37, 1), (53, 1), (109, 1), (206, 1), (394, 1), (426, 1), (1116, 1), (1155, 1), (1778, 1), (1886, 1), (1951, 1), (4131, 1), (4146, 1), (4147, 1)], [(8, 1), (20, 1), (25, 2), (37, 1), (50, 1), (53, 2), (109, 1), (186, 1), (336, 1), (365, 1), (459, 1), (711, 1), (1536, 1), (2795, 1), (3686, 1), (4148, 1)], [(18, 1), (90, 1), (516, 1), (1714, 1), (2540, 1), (4149, 1), (4150, 1), (4151, 1), (4152, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (55, 1), (65, 1), (108, 1), (187, 1), (273, 1), (359, 1), (450, 2), (691, 1), (708, 1), (711, 1), (1394, 1), (1520, 1), (1999, 1), (2213, 1), (3879, 1), (4153, 1), (4154, 1), (4155, 1), (4156, 1), (4157, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (25, 1), (31, 2), (34, 1), (50, 1), (108, 1), (172, 1), (197, 2), (203, 1), (273, 1), (287, 1), (450, 1), (537, 1), (711, 2), (1224, 1), (1999, 1), (2213, 1), (2321, 1), (2705, 1), (2877, 1), (4158, 1), (4159, 1), (4160, 1), (4161, 1), (4162, 1), (4163, 1), (4164, 1)], [(8, 1), (19, 1), (20, 1), (21, 1), (22, 1), (25, 1), (34, 1), (50, 2), (53, 1), (77, 1), (174, 1), (263, 1), (359, 1), (1131, 1), (1342, 1), (1691, 1), (1737, 1), (2241, 1), (2538, 1), (4165, 1), (4166, 1), (4167, 1)], [(7, 1), (8, 1), (20, 4), (25, 1), (31, 2), (50, 1), (53, 2), (65, 3), (331, 1), (446, 1), (450, 1), (1010, 1), (1012, 1), (1501, 1), (4168, 1), (4169, 1), (4170, 1), (4171, 1), (4172, 1), (4173, 1), (4174, 1), (4175, 1), (4176, 1), (4177, 1), (4178, 1), (4179, 1)], [(8, 1), (18, 1), (22, 1), (31, 1), (50, 2), (53, 1), (77, 1), (97, 1), (117, 1), (193, 1), (225, 1), (228, 1), (232, 1), (241, 1), (281, 1), (361, 1), (556, 1), (878, 1), (976, 1), (1219, 1), (1999, 1), (2213, 1), (2449, 1), (2667, 1), (3782, 1), (4180, 1), (4181, 1), (4182, 1), (4183, 1), (4184, 1), (4185, 1), (4186, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (229, 1), (331, 1), (450, 1), (516, 1), (711, 1), (1999, 1), (2213, 1), (2332, 1), (4187, 1), (4188, 1), (4189, 1)], [(8, 1), (22, 1), (31, 2), (50, 1), (53, 2), (77, 1), (215, 1), (301, 1), (314, 1), (450, 1), (489, 1), (1308, 1), (2241, 1), (2538, 1), (3404, 1), (4187, 1), (4188, 1), (4190, 1), (4191, 1), (4192, 1), (4193, 1)], [(8, 1), (20, 5), (31, 1), (50, 2), (53, 3), (90, 1), (91, 1), (215, 1), (295, 1), (450, 1), (459, 1), (506, 1), (569, 1), (708, 1), (711, 2), (744, 1), (846, 1), (1072, 1), (1102, 1), (1139, 1), (1240, 1), (1732, 1), (1960, 1), (2145, 1), (2235, 1), (2550, 1), (3382, 1), (3542, 1), (4187, 1), (4194, 1), (4195, 1), (4196, 1), (4197, 1), (4198, 1), (4199, 1), (4200, 1), (4201, 1), (4202, 1), (4203, 1), (4204, 1), (4205, 1)], [(1544, 1), (4206, 1)], [(8, 1), (24, 1), (4207, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (25, 1), (53, 3), (108, 1), (111, 1), (117, 1), (185, 1), (214, 1), (232, 1), (323, 1), (328, 1), (359, 1), (394, 1), (861, 1), (885, 1), (922, 1), (940, 1), (1155, 1), (1444, 1), (1460, 1), (1520, 1), (1834, 1), (1999, 1), (2213, 1), (2455, 1), (2774, 1), (3170, 1), (4207, 1), (4208, 1), (4209, 1), (4210, 1)], [(8, 1), (23, 2), (82, 1), (90, 1), (242, 1), (792, 1), (1541, 1)], [(8, 1), (20, 1), (23, 1), (85, 1), (109, 1), (185, 1), (281, 1), (763, 1), (855, 1), (1458, 1), (1580, 1), (2926, 1), (4025, 1), (4026, 1), (4211, 1), (4212, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 1), (109, 1), (300, 1), (347, 1), (1602, 1), (2275, 1), (3067, 1), (4213, 1), (4214, 1), (4215, 1), (4216, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (50, 1), (53, 2), (72, 1), (305, 1), (697, 1), (1149, 1), (1580, 2), (1590, 1), (2947, 1), (3360, 1), (4217, 1), (4218, 1), (4219, 1), (4220, 1), (4221, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 2), (50, 1), (117, 1), (894, 1), (2076, 2), (2568, 1), (3121, 1), (3610, 1), (4222, 1), (4223, 1), (4224, 1)], [(7, 1), (8, 1), (20, 1), (50, 1), (53, 2), (126, 1), (193, 1), (1308, 1), (1590, 1), (2716, 1), (2744, 1), (2945, 1), (3988, 1), (4225, 1), (4226, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (109, 1), (215, 1), (415, 1), (459, 1), (504, 1), (903, 1), (1129, 1), (1650, 1), (1689, 2), (2397, 1), (4227, 1), (4228, 1), (4229, 1), (4230, 1), (4231, 1), (4232, 1)], [(8, 1), (20, 2), (22, 1), (24, 1), (25, 2), (50, 1), (53, 2), (55, 1), (82, 1), (206, 1), (328, 1), (347, 1), (414, 1), (428, 1), (600, 1), (632, 1), (974, 1), (1087, 1), (1227, 1), (1689, 1), (1824, 1), (2216, 1), (2401, 1), (2404, 1), (2688, 1), (3305, 1), (3726, 1), (4189, 1), (4233, 1), (4234, 1), (4235, 1), (4236, 1), (4237, 1), (4238, 1)], [(19, 1), (20, 1), (23, 1), (50, 1), (53, 1), (82, 1), (91, 1), (256, 1), (516, 1), (1327, 1), (1685, 1), (1901, 1), (2224, 1), (2418, 1), (3173, 1), (3611, 1), (4239, 1)], [(8, 1), (20, 7), (50, 2), (53, 2), (54, 1), (193, 1), (439, 1), (482, 1), (522, 1), (593, 1), (708, 1), (1030, 1), (1605, 1), (2010, 1), (4240, 1), (4241, 1), (4242, 1), (4243, 1), (4244, 1), (4245, 1), (4246, 1), (4247, 1), (4248, 1), (4249, 1), (4250, 1), (4251, 1)], [(8, 1), (19, 1), (45, 1), (466, 1), (470, 1), (2811, 1), (2909, 1), (4252, 1), (4253, 1), (4254, 1), (4255, 1)], [(4256, 1)], [(7, 1), (8, 1), (18, 1), (20, 9), (31, 1), (50, 2), (53, 3), (65, 1), (85, 1), (117, 1), (269, 1), (439, 2), (459, 1), (522, 2), (540, 1), (569, 1), (593, 1), (756, 1), (913, 1), (982, 1), (1141, 1), (1205, 1), (1206, 1), (1290, 1), (1439, 1), (1549, 1), (1668, 1), (2010, 1), (2218, 1), (4244, 1), (4247, 1), (4257, 1), (4258, 1), (4259, 1), (4260, 1), (4261, 1), (4262, 1), (4263, 1), (4264, 1), (4265, 1), (4266, 1), (4267, 1), (4268, 1), (4269, 1), (4270, 1), (4271, 1), (4272, 1)], [(7, 1), (8, 1), (226, 1), (450, 1), (725, 1), (2811, 1), (2909, 1), (4273, 1), (4274, 1), (4275, 1)], [(4256, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (24, 1), (31, 1), (45, 1), (50, 2), (53, 2), (54, 1), (373, 1), (414, 1), (439, 1), (461, 1), (522, 1), (593, 1), (756, 1), (791, 1), (836, 1), (1253, 1), (1282, 1), (2010, 1), (4244, 1), (4247, 1), (4276, 1), (4277, 1), (4278, 1), (4279, 1), (4280, 1), (4281, 1), (4282, 1)], [(8, 1), (19, 1), (45, 1), (466, 1), (470, 1), (2811, 1), (2909, 1), (4252, 1), (4254, 1), (4255, 1), (4283, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 2), (34, 1), (53, 2), (54, 1), (65, 1), (109, 1), (506, 1), (707, 2), (708, 1), (1149, 1), (1574, 1), (1580, 1), (1699, 1), (2322, 1), (2345, 1), (3360, 1), (3446, 1), (3614, 1), (4215, 1), (4284, 1), (4285, 1), (4286, 1), (4287, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (31, 1), (45, 1), (50, 2), (53, 2), (54, 1), (328, 1), (1276, 1), (2648, 1), (4142, 1), (4288, 1), (4289, 1), (4290, 1), (4291, 1), (4292, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 1), (53, 3), (54, 3), (82, 2), (106, 1), (166, 1), (173, 1), (269, 1), (323, 2), (414, 1), (834, 1), (903, 1), (1308, 2), (1580, 1), (1877, 1), (2688, 1), (2712, 1), (3028, 1), (3138, 1), (4293, 1), (4294, 1), (4295, 1), (4296, 1), (4297, 1), (4298, 1), (4299, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 2), (25, 1), (31, 2), (32, 1), (50, 4), (51, 1), (53, 9), (82, 2), (90, 2), (161, 1), (214, 1), (226, 1), (228, 1), (246, 2), (256, 1), (262, 1), (293, 2), (307, 1), (313, 1), (328, 1), (399, 1), (411, 1), (448, 1), (459, 2), (504, 1), (506, 1), (602, 1), (792, 1), (834, 2), (920, 1), (1541, 1), (1644, 1), (1668, 1), (2463, 1), (2820, 1), (3371, 1), (3726, 1), (4073, 1), (4189, 1), (4222, 1), (4229, 1), (4238, 1), (4289, 1), (4296, 1), (4300, 1), (4301, 1), (4302, 1), (4303, 1), (4304, 1), (4305, 1), (4306, 1), (4307, 1), (4308, 1), (4309, 1), (4310, 1), (4311, 1), (4312, 1)], [(247, 1), (1583, 1)], [(8, 1), (20, 1), (21, 1), (22, 2), (31, 1), (53, 2), (82, 1), (90, 1), (206, 1), (226, 1), (246, 1), (273, 1), (295, 2), (323, 1), (399, 1), (516, 1), (581, 1), (694, 1), (893, 1), (1071, 1), (1131, 1), (1580, 1), (1815, 1), (2690, 1), (2965, 1), (3034, 1), (4181, 1), (4313, 1), (4314, 1), (4315, 1), (4316, 1), (4317, 1), (4318, 1)], [(31, 1), (65, 1), (97, 1), (247, 1), (268, 1), (596, 1), (834, 1), (2381, 1), (2401, 1), (2841, 1), (3047, 1), (4319, 1), (4320, 1), (4321, 1)], [(31, 1), (247, 1), (596, 1), (834, 1), (4294, 1), (4322, 1), (4323, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (25, 2), (31, 1), (37, 1), (53, 2), (90, 1), (172, 1), (281, 1), (323, 1), (596, 1), (654, 1), (1470, 1), (2615, 1), (4183, 1), (4324, 1), (4325, 1), (4326, 1), (4327, 1), (4328, 1), (4329, 1), (4330, 1), (4331, 1), (4332, 1), (4333, 1), (4334, 1)], [(8, 1), (31, 1), (50, 1), (53, 1), (209, 1), (215, 1), (226, 1), (240, 1), (601, 1), (800, 1), (834, 1), (4238, 1), (4335, 1), (4336, 1)], [(8, 1), (18, 5), (19, 3), (20, 10), (22, 7), (25, 3), (30, 1), (31, 3), (37, 2), (45, 1), (50, 5), (53, 8), (56, 1), (58, 3), (65, 1), (71, 1), (77, 3), (81, 1), (82, 1), (90, 4), (91, 1), (96, 2), (98, 1), (108, 3), (124, 1), (168, 1), (173, 1), (185, 1), (190, 1), (214, 2), (256, 2), (266, 1), (268, 1), (281, 1), (288, 2), (293, 2), (323, 3), (359, 1), (415, 1), (419, 3), (463, 1), (504, 1), (670, 1), (672, 3), (711, 1), (833, 1), (834, 1), (893, 2), (923, 1), (983, 1), (1102, 1), (1122, 1), (1157, 1), (1519, 1), (1621, 1), (1647, 1), (1685, 1), (1702, 1), (1815, 1), (1820, 1), (1824, 2), (2027, 1), (2031, 1), (2097, 1), (2145, 1), (2149, 3), (2358, 1), (2474, 1), (2490, 1), (2764, 1), (2985, 1), (3320, 1), (4183, 1), (4326, 1), (4337, 1), (4338, 1), (4339, 1), (4340, 1), (4341, 1), (4342, 1), (4343, 1), (4344, 1), (4345, 1), (4346, 1), (4347, 1), (4348, 1), (4349, 1), (4350, 1), (4351, 1), (4352, 1), (4353, 1), (4354, 1), (4355, 1), (4356, 1), (4357, 1), (4358, 1), (4359, 1), (4360, 1), (4361, 1), (4362, 1), (4363, 1), (4364, 1), (4365, 1), (4366, 1), (4367, 1), (4368, 1), (4369, 1), (4370, 1), (4371, 1), (4372, 1)], [(8, 1), (82, 1), (206, 1), (214, 1), (450, 1), (487, 1), (654, 1), (2849, 1), (4373, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (53, 1), (109, 1), (206, 1), (260, 1), (301, 1), (399, 1), (407, 1), (516, 1), (893, 1), (1159, 1), (1322, 1), (3701, 1), (4324, 1), (4374, 1), (4375, 1), (4376, 1), (4377, 1), (4378, 1), (4379, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (23, 1), (25, 1), (50, 3), (53, 4), (55, 1), (71, 1), (90, 1), (96, 1), (122, 1), (170, 1), (307, 1), (323, 1), (347, 1), (361, 1), (414, 1), (506, 1), (772, 1), (834, 1), (1310, 1), (1361, 1), (1471, 1), (1488, 1), (1643, 1), (1899, 1), (2365, 1), (4235, 1), (4238, 1), (4297, 1), (4380, 1), (4381, 1), (4382, 1), (4383, 1), (4384, 1), (4385, 1)], [(8, 1), (20, 2), (53, 1), (71, 1), (830, 1), (922, 1), (1593, 1), (1778, 1), (4383, 1), (4386, 1)], [(8, 1), (23, 1), (63, 1), (301, 1), (1458, 1), (4387, 1), (4388, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (21, 1), (58, 1), (108, 1), (190, 1), (373, 1), (506, 1), (531, 1), (675, 1), (687, 1), (885, 1), (1197, 1), (2170, 1), (2231, 1), (2241, 1), (4389, 1), (4390, 1), (4391, 1), (4392, 1), (4393, 1)], [(8, 1), (18, 2), (20, 1), (21, 1), (31, 1), (50, 2), (77, 1), (185, 1), (328, 1), (428, 1), (645, 1), (983, 1), (1778, 1), (2096, 1), (2185, 1), (2245, 1), (4394, 1), (4395, 1), (4396, 1), (4397, 1)], [(96, 1), (301, 1), (897, 1), (1714, 1)], [(8, 1), (25, 1), (50, 1), (172, 1), (185, 1), (419, 1), (1196, 1), (2478, 1), (4342, 1), (4398, 1), (4399, 1), (4400, 1)], [(8, 1), (77, 1), (90, 1), (94, 1), (96, 1), (168, 1), (226, 1), (414, 1), (711, 1), (1580, 2), (3633, 1), (4398, 1), (4401, 1), (4402, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 3), (90, 2), (92, 1), (193, 1), (214, 1), (278, 1), (289, 1), (419, 1), (487, 1), (516, 1), (680, 2), (1010, 1), (1134, 1), (1695, 1), (2336, 1), (3358, 1), (3426, 1), (4398, 1), (4403, 1), (4404, 1), (4405, 1)], [(8, 1), (26, 1), (50, 1), (53, 1), (77, 1), (256, 1), (827, 1), (1296, 1), (1580, 2), (4398, 1), (4406, 1)], [(8, 1), (20, 2), (23, 1), (26, 1), (58, 2), (77, 1), (82, 1), (88, 2), (190, 1), (273, 1), (323, 1), (359, 1), (506, 1), (1580, 1), (2666, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (26, 1), (108, 2), (190, 1), (331, 1), (373, 1), (420, 1), (702, 1), (711, 1), (1072, 1), (1197, 2), (1248, 1), (1361, 1), (1377, 1), (1580, 1), (1628, 1), (1870, 1), (4299, 1), (4407, 1), (4408, 1)], [(1544, 1), (4409, 1)], [(8, 1), (24, 1), (4410, 1)], [(7, 1), (8, 1), (18, 3), (20, 2), (22, 1), (23, 1), (30, 2), (37, 1), (50, 2), (51, 1), (53, 3), (54, 1), (65, 1), (82, 1), (90, 1), (123, 1), (174, 1), (185, 1), (215, 1), (217, 1), (281, 1), (347, 1), (452, 1), (526, 1), (626, 1), (645, 2), (1590, 1), (1699, 1), (2185, 1), (2241, 1), (2270, 1), (2345, 1), (2731, 1), (3095, 1), (3305, 1), (4222, 1), (4234, 1), (4411, 1), (4412, 1), (4413, 1), (4414, 1), (4415, 1), (4416, 1), (4417, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (53, 2), (54, 2), (58, 1), (72, 1), (173, 1), (283, 1), (293, 1), (334, 1), (399, 1), (452, 1), (1471, 1), (1778, 1), (2240, 1), (3021, 1), (4418, 1), (4419, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (25, 1), (31, 1), (36, 1), (45, 2), (53, 1), (108, 1), (217, 1), (228, 1), (256, 1), (347, 2), (505, 1), (609, 1), (1578, 1), (1960, 1), (3763, 1), (4420, 1), (4421, 1), (4422, 1)], [(8, 1), (18, 3), (20, 3), (21, 1), (22, 1), (23, 1), (31, 1), (32, 1), (37, 1), (45, 1), (50, 5), (51, 2), (53, 4), (54, 1), (90, 1), (97, 1), (108, 1), (117, 1), (232, 1), (260, 1), (328, 1), (399, 1), (428, 1), (526, 1), (675, 1), (813, 1), (888, 1), (1006, 1), (1071, 1), (1342, 1), (1860, 1), (1883, 1), (2077, 1), (2198, 1), (2258, 1), (2359, 1), (2650, 1), (2680, 1), (2972, 1), (4187, 1), (4249, 2), (4418, 1), (4419, 1), (4422, 1), (4423, 1), (4424, 1), (4425, 1), (4426, 1), (4427, 1), (4428, 1), (4429, 1), (4430, 1), (4431, 1), (4432, 1)], [(8, 1), (19, 1), (20, 3), (30, 1), (45, 1), (53, 2), (90, 1), (108, 1), (166, 1), (173, 1), (269, 1), (328, 1), (347, 1), (410, 1), (459, 1), (505, 1), (526, 1), (654, 1), (763, 1), (1165, 1), (1342, 1), (1391, 1), (1498, 1), (1877, 1), (2030, 1), (2255, 1), (3501, 1), (3883, 1), (4020, 1), (4418, 1), (4419, 1), (4433, 1), (4434, 1), (4435, 1), (4436, 1), (4437, 1), (4438, 1), (4439, 1)], [(8, 1), (19, 2), (20, 3), (23, 1), (25, 2), (30, 1), (31, 1), (45, 3), (50, 1), (53, 3), (55, 2), (58, 1), (69, 1), (82, 1), (90, 1), (108, 1), (173, 2), (268, 1), (310, 1), (334, 1), (347, 2), (680, 1), (702, 1), (796, 1), (903, 1), (1133, 1), (2731, 1), (3013, 1), (3052, 1), (3274, 1), (3360, 1), (3446, 1), (3611, 1), (3743, 1), (3907, 1), (4215, 1), (4219, 1), (4440, 1), (4441, 1), (4442, 1), (4443, 1), (4444, 1), (4445, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (22, 1), (25, 3), (28, 1), (31, 3), (53, 1), (173, 1), (186, 1), (269, 2), (420, 1), (459, 1), (531, 1), (884, 1), (1638, 1), (2387, 1), (2404, 1), (2464, 1), (2581, 1), (2842, 1), (2866, 1), (3105, 1), (3446, 1), (4446, 1), (4447, 1), (4448, 1), (4449, 1), (4450, 1)], [(7, 1), (8, 1), (18, 7), (19, 1), (20, 10), (25, 2), (31, 1), (50, 2), (51, 1), (53, 6), (54, 1), (55, 1), (58, 2), (109, 1), (174, 1), (193, 1), (269, 1), (281, 1), (285, 1), (347, 1), (365, 1), (373, 1), (407, 1), (452, 1), (516, 1), (551, 1), (605, 1), (632, 1), (654, 1), (709, 1), (744, 1), (834, 1), (903, 1), (1041, 1), (1483, 1), (2222, 1), (2404, 1), (2505, 1), (2571, 1), (2616, 1), (2768, 1), (2839, 1), (2998, 1), (3121, 1), (3274, 1), (3297, 2), (3518, 1), (4143, 1), (4418, 1), (4419, 1), (4451, 1), (4452, 1), (4453, 1), (4454, 1), (4455, 1), (4456, 1), (4457, 1), (4458, 1), (4459, 1), (4460, 1)], [(7, 1), (8, 1), (18, 3), (20, 6), (24, 1), (25, 1), (31, 1), (50, 3), (53, 2), (54, 1), (55, 2), (58, 1), (65, 1), (96, 1), (97, 1), (108, 1), (185, 1), (268, 1), (347, 1), (645, 1), (827, 1), (903, 1), (1074, 1), (1171, 1), (1305, 1), (1325, 1), (1392, 1), (2049, 1), (2096, 1), (2332, 1), (2954, 1), (2985, 1), (3340, 1), (3518, 2), (3649, 1), (4456, 1), (4461, 1), (4462, 1), (4463, 1), (4464, 1), (4465, 1), (4466, 1), (4467, 1), (4468, 1), (4469, 1), (4470, 1)], [(8, 1), (18, 2), (20, 5), (25, 2), (45, 1), (50, 3), (53, 6), (55, 2), (65, 3), (75, 2), (108, 1), (193, 1), (215, 1), (256, 1), (488, 1), (504, 1), (516, 1), (531, 1), (645, 1), (777, 1), (897, 1), (1042, 1), (1170, 1), (1354, 1), (1570, 1), (1702, 1), (1960, 1), (2307, 1), (2318, 1), (2479, 1), (2625, 1), (2971, 1), (3540, 1), (4418, 1), (4419, 1), (4456, 1), (4468, 1), (4471, 1), (4472, 1), (4473, 1), (4474, 1), (4475, 1), (4476, 1), (4477, 1), (4478, 1), (4479, 1)], [(8, 1), (18, 1), (20, 4), (24, 1), (50, 3), (53, 2), (54, 1), (55, 1), (65, 1), (77, 1), (90, 1), (185, 1), (193, 1), (195, 1), (197, 1), (215, 1), (293, 1), (328, 1), (459, 2), (632, 1), (924, 1), (1054, 1), (1308, 1), (1540, 1), (2137, 1), (2433, 1), (2616, 1), (3149, 1), (4219, 1), (4456, 1), (4480, 1), (4481, 1), (4482, 1), (4483, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (50, 1), (53, 2), (58, 1), (82, 1), (90, 1), (108, 1), (201, 1), (206, 1), (347, 1), (506, 1), (709, 1), (763, 1), (903, 1), (1275, 1), (1580, 1), (2007, 1), (2359, 1), (2404, 1), (3475, 1), (4032, 1), (4296, 1), (4484, 1), (4485, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (23, 1), (25, 1), (30, 1), (31, 1), (34, 1), (45, 1), (53, 4), (54, 2), (78, 1), (82, 1), (186, 1), (286, 1), (337, 1), (348, 1), (388, 1), (777, 1), (884, 1), (990, 1), (1057, 1), (1122, 1), (1557, 1), (1611, 1), (2404, 1), (2867, 1), (2985, 1), (2998, 1), (3743, 1), (4418, 1), (4419, 1), (4456, 1), (4482, 2), (4486, 1), (4487, 1), (4488, 1), (4489, 1)], [(8, 1), (23, 1), (53, 1), (108, 1), (185, 1), (448, 1), (654, 1), (1342, 1), (2197, 1), (3051, 1), (4490, 1), (4491, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (30, 1), (50, 2), (53, 1), (82, 1), (90, 1), (108, 1), (161, 1), (166, 1), (175, 1), (744, 1), (1188, 1), (1270, 1), (2082, 1), (4105, 1), (4418, 1), (4419, 1), (4492, 1), (4493, 1), (4494, 1), (4495, 1), (4496, 1), (4497, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (58, 1), (71, 1), (108, 1), (185, 1), (203, 2), (236, 1), (328, 1), (387, 1), (448, 1), (1165, 1), (1901, 1), (2197, 1), (2982, 1), (4498, 1), (4499, 1), (4500, 1)], [(7, 1), (20, 4), (25, 1), (37, 1), (45, 1), (50, 1), (53, 1), (58, 1), (71, 1), (90, 2), (108, 1), (109, 1), (173, 1), (897, 1), (1342, 1), (1714, 1), (2020, 1), (2039, 1), (2540, 1), (4404, 1), (4501, 1), (4502, 1), (4503, 1), (4504, 1), (4505, 1), (4506, 1), (4507, 1)], [(8, 1), (18, 3), (19, 1), (20, 6), (21, 1), (23, 1), (25, 1), (34, 1), (50, 3), (53, 4), (55, 2), (65, 1), (77, 1), (98, 1), (108, 1), (185, 1), (240, 1), (284, 1), (332, 1), (388, 1), (645, 1), (680, 1), (1005, 1), (1778, 1), (2404, 1), (2891, 1), (3318, 1), (3320, 1), (4143, 1), (4191, 1), (4508, 1), (4509, 1), (4510, 1), (4511, 1)], [(8, 1), (20, 1), (50, 1), (53, 4), (54, 1), (65, 1), (82, 1), (109, 1), (117, 1), (232, 1), (301, 1), (365, 1), (422, 1), (632, 1), (1308, 1), (2184, 1), (2847, 1), (4234, 1), (4456, 1), (4512, 1), (4513, 1), (4514, 1)], [(8, 1), (18, 4), (20, 1), (25, 1), (50, 2), (53, 3), (54, 1), (55, 1), (75, 1), (97, 1), (305, 1), (414, 1), (425, 1), (626, 1), (708, 1), (709, 1), (791, 1), (829, 1), (974, 1), (1041, 1), (1329, 1), (1590, 1), (2100, 1), (2401, 1), (2404, 1), (2430, 1), (2431, 1), (2688, 1), (3402, 1), (4184, 1), (4235, 1), (4515, 1), (4516, 1), (4517, 1), (4518, 1), (4519, 1), (4520, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 2), (32, 1), (50, 2), (53, 3), (65, 1), (90, 1), (97, 1), (109, 1), (112, 1), (117, 3), (185, 1), (232, 3), (281, 1), (301, 1), (328, 1), (428, 1), (516, 1), (531, 1), (709, 1), (767, 1), (884, 1), (1012, 1), (1139, 1), (1219, 1), (1415, 1), (1855, 1), (1901, 1), (2064, 1), (2190, 1), (2258, 1), (2276, 1), (2383, 1), (2455, 1), (2469, 1), (2977, 2), (3100, 1), (3585, 1), (4193, 1), (4521, 1), (4522, 1), (4523, 1), (4524, 1), (4525, 1), (4526, 1), (4527, 1), (4528, 1), (4529, 1), (4530, 1), (4531, 1)], [(18, 1), (19, 1), (20, 5), (22, 1), (25, 1), (53, 1), (64, 2), (108, 1), (247, 1), (273, 1), (357, 1), (414, 2), (507, 2), (709, 2), (903, 1), (1163, 1), (1988, 1), (2058, 1), (3886, 1), (4428, 1), (4523, 1), (4532, 2), (4533, 1)], [(21, 1), (22, 1), (53, 2), (66, 1), (75, 1), (77, 2), (92, 1), (112, 1), (193, 1), (214, 1), (708, 1), (2640, 1), (3426, 1), (3585, 1), (4534, 1), (4535, 1)], [(8, 1), (18, 1), (25, 1), (50, 1), (53, 4), (54, 1), (65, 1), (90, 1), (347, 1), (365, 1), (654, 1), (922, 1), (1392, 1), (1816, 1), (2404, 1), (3043, 1), (3903, 1), (4456, 1), (4469, 1), (4536, 1)], [(8, 1), (18, 3), (20, 2), (25, 1), (31, 1), (50, 2), (53, 2), (54, 1), (65, 1), (117, 2), (232, 2), (337, 1), (414, 1), (608, 1), (709, 2), (1082, 1), (1659, 1), (2571, 1), (3879, 1), (4282, 1), (4463, 1), (4537, 1), (4538, 1), (4539, 1), (4540, 1), (4541, 1), (4542, 1), (4543, 1), (4544, 1), (4545, 1), (4546, 1)], [(8, 1), (22, 2), (31, 1), (37, 1), (40, 1), (50, 1), (53, 4), (56, 1), (71, 1), (77, 1), (108, 1), (117, 1), (124, 1), (166, 1), (168, 1), (185, 1), (232, 1), (263, 1), (596, 1), (1041, 1), (1596, 1), (1626, 1), (1683, 1), (1875, 1), (2404, 2), (2656, 1), (3036, 1), (4547, 1), (4548, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 3), (58, 1), (77, 2), (117, 1), (203, 1), (232, 1), (332, 1), (763, 1), (1328, 1), (1590, 1), (1682, 1), (1988, 1), (2185, 1), (4549, 1), (4550, 1), (4551, 1), (4552, 1), (4553, 1)], [(8, 1), (50, 1), (53, 1), (58, 1), (77, 2), (108, 1), (111, 1), (332, 1), (377, 1), (763, 1), (1661, 1), (1682, 1), (1813, 1), (3053, 1), (4549, 1), (4554, 1), (4555, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 2), (53, 2), (56, 1), (77, 1), (82, 1), (85, 1), (117, 1), (232, 1), (414, 1), (709, 1), (1041, 2), (1043, 1), (1488, 1), (1778, 1), (2404, 1), (4556, 1), (4557, 1)], [(1544, 1), (4558, 1)], [(8, 1), (24, 1), (4559, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 1), (50, 1), (53, 1), (824, 1), (1115, 1), (1883, 1), (3610, 1), (4418, 1), (4419, 1), (4560, 1), (4561, 1), (4562, 1), (4563, 1), (4564, 1)], [(20, 1), (64, 1), (247, 1), (328, 1), (4565, 1), (4566, 1)], [(19, 2), (21, 1), (247, 1), (632, 1), (1324, 1), (4566, 1), (4567, 2), (4568, 1)], [(247, 1), (4569, 1)], [(1178, 1), (4570, 1)], [(8, 1), (18, 2), (20, 3), (25, 3), (37, 1), (50, 2), (53, 2), (54, 2), (65, 1), (117, 1), (197, 1), (220, 1), (232, 1), (351, 1), (365, 1), (399, 1), (414, 1), (1458, 1), (1702, 1), (1704, 1), (2313, 1), (2366, 1), (2410, 1), (2453, 1), (3378, 1), (4189, 1), (4571, 1), (4572, 1), (4573, 1), (4574, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 2), (31, 1), (36, 1), (45, 3), (50, 1), (53, 3), (90, 1), (117, 1), (173, 1), (193, 1), (232, 1), (261, 1), (293, 1), (365, 1), (829, 1), (884, 1), (897, 1), (903, 1), (1354, 1), (2404, 1), (2795, 1), (2995, 1), (3001, 1), (3004, 1), (3561, 1), (4282, 1), (4575, 1), (4576, 1), (4577, 1), (4578, 1), (4579, 2), (4580, 1), (4581, 1), (4582, 1), (4583, 1)], [(18, 4), (20, 3), (21, 2), (22, 1), (25, 1), (31, 4), (45, 1), (50, 1), (53, 3), (55, 1), (77, 1), (90, 1), (106, 1), (173, 1), (193, 1), (256, 1), (365, 1), (433, 1), (516, 1), (709, 1), (744, 1), (1013, 1), (1305, 1), (2224, 1), (2258, 1), (2458, 1), (3357, 1), (3572, 1), (4106, 1), (4116, 1), (4298, 1), (4584, 1), (4585, 1), (4586, 1), (4587, 1), (4588, 1), (4589, 1), (4590, 1), (4591, 1), (4592, 1), (4593, 1), (4594, 1), (4595, 2)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (24, 1), (25, 1), (31, 1), (37, 1), (53, 1), (64, 1), (65, 1), (68, 1), (95, 1), (117, 1), (232, 1), (310, 1), (331, 1), (332, 1), (435, 1), (506, 2), (777, 1), (865, 1), (2163, 1), (2277, 1), (2286, 1), (3426, 1), (3730, 1), (4596, 1), (4597, 1), (4598, 1), (4599, 1), (4600, 1)], [(8, 1), (19, 1), (20, 2), (21, 1), (22, 1), (23, 2), (25, 1), (50, 1), (53, 1), (54, 1), (64, 1), (90, 1), (256, 1), (262, 1), (290, 1), (328, 1), (554, 1), (581, 1), (711, 1), (726, 1), (1068, 1), (1432, 1), (1583, 1), (2145, 1), (2189, 1), (3056, 1), (4322, 1), (4601, 1), (4602, 1), (4603, 1), (4604, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (23, 2), (30, 1), (36, 1), (45, 1), (53, 1), (64, 1), (72, 1), (95, 1), (124, 1), (166, 1), (332, 1), (359, 1), (506, 1), (792, 1), (1165, 1), (1580, 2), (2048, 1), (2401, 1), (2495, 1), (3013, 1), (3919, 1), (4605, 1), (4606, 1), (4607, 1), (4608, 1), (4609, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (24, 1), (50, 1), (64, 1), (173, 1), (209, 1), (215, 1), (332, 1), (414, 1), (1006, 1), (1068, 1), (1219, 1), (1352, 1), (1580, 2), (1824, 1), (2977, 1), (3095, 1), (4610, 1), (4611, 1), (4612, 1), (4613, 1), (4614, 1), (4615, 1), (4616, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (25, 1), (37, 1), (40, 1), (53, 3), (64, 1), (90, 1), (108, 1), (292, 1), (332, 1), (658, 1), (691, 1), (1193, 1), (1580, 1), (1918, 1), (2361, 1), (3000, 1), (3402, 1), (3563, 1), (4617, 1), (4618, 1), (4619, 1), (4620, 1)], [(8, 1), (20, 1), (31, 1), (37, 1), (50, 1), (53, 2), (97, 1), (185, 1), (767, 1), (1012, 1), (1590, 1), (2465, 1), (3447, 1), (4589, 1), (4621, 1), (4622, 1), (4623, 1)], [(18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (45, 1), (50, 3), (53, 6), (64, 1), (74, 1), (75, 1), (126, 1), (186, 1), (193, 1), (233, 1), (281, 1), (310, 1), (331, 1), (332, 1), (334, 1), (344, 2), (347, 1), (348, 1), (349, 1), (392, 1), (763, 1), (777, 1), (1557, 1), (1758, 1), (2102, 1), (2344, 2), (2406, 1), (2410, 1), (2981, 1), (3923, 1), (4537, 1), (4624, 1), (4625, 1), (4626, 1), (4627, 1), (4628, 1), (4629, 1), (4630, 1), (4631, 1), (4632, 1), (4633, 1)], [(8, 1), (20, 2), (21, 2), (31, 1), (50, 2), (53, 3), (64, 1), (77, 1), (164, 1), (185, 1), (269, 1), (404, 2), (678, 1), (1308, 1), (3320, 1), (4634, 1), (4635, 1), (4636, 1), (4637, 1), (4638, 1), (4639, 1), (4640, 1)], [(50, 1), (53, 1), (96, 1), (117, 1), (232, 1), (247, 1), (338, 1), (344, 1), (1628, 1), (1742, 1), (1747, 1), (3709, 1), (4641, 1), (4642, 1)], [(18, 1), (19, 1), (77, 1), (96, 1), (185, 1), (247, 1), (434, 1), (509, 1), (4643, 1), (4644, 1)], [(18, 1), (31, 1), (53, 1), (74, 1), (77, 1), (90, 1), (117, 1), (232, 1), (247, 1), (387, 1), (507, 1), (596, 1), (769, 1), (4645, 1)], [(25, 1), (65, 1), (247, 1), (516, 1), (1130, 1), (1347, 1), (4646, 1), (4647, 1)], [(19, 1), (22, 2), (25, 1), (30, 1), (37, 1), (50, 2), (53, 5), (55, 1), (65, 1), (77, 1), (247, 1), (262, 1), (365, 2), (410, 1), (419, 1), (434, 2), (751, 1), (777, 1), (2795, 1), (3709, 1), (4648, 1), (4649, 1), (4650, 1), (4651, 1), (4652, 1), (4653, 1)], [(50, 1), (53, 1), (77, 1), (90, 1), (164, 1), (185, 1), (301, 1), (344, 1), (1714, 1), (4643, 1), (4654, 1), (4655, 1)], [(8, 1), (18, 4), (19, 2), (20, 2), (22, 1), (25, 1), (37, 1), (50, 1), (53, 1), (58, 1), (65, 1), (77, 1), (215, 2), (332, 1), (418, 1), (434, 1), (506, 1), (600, 1), (672, 1), (959, 1), (3907, 1), (4635, 1), (4643, 3), (4656, 1)], [(8, 1), (18, 2), (19, 1), (20, 8), (25, 2), (37, 1), (50, 2), (53, 3), (58, 2), (65, 1), (77, 2), (209, 1), (344, 1), (434, 1), (600, 1), (1013, 1), (1856, 1), (1877, 1), (1884, 1), (2320, 1), (2789, 1), (3744, 1), (4643, 1), (4656, 1), (4657, 1), (4658, 1), (4659, 1), (4660, 1), (4661, 1), (4662, 1), (4663, 1), (4664, 1)], [(8, 1), (18, 1), (20, 2), (21, 2), (31, 1), (32, 1), (37, 1), (45, 1), (50, 4), (53, 2), (54, 2), (55, 1), (90, 1), (96, 1), (97, 1), (111, 1), (173, 1), (185, 1), (209, 1), (288, 1), (332, 1), (399, 1), (600, 1), (812, 1), (894, 1), (1594, 1), (2320, 1), (4664, 1), (4665, 1), (4666, 3), (4667, 1), (4668, 1), (4669, 1), (4670, 1), (4671, 1)], [(8, 1), (19, 2), (20, 1), (21, 2), (25, 1), (37, 1), (53, 1), (90, 2), (108, 1), (172, 1), (173, 1), (214, 1), (285, 1), (301, 1), (332, 1), (434, 3), (487, 1), (833, 1), (1685, 2), (2320, 1), (3681, 1), (4672, 1), (4673, 1), (4674, 1), (4675, 1), (4676, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (77, 1), (185, 1), (203, 1), (331, 1), (332, 2), (419, 2), (504, 1), (823, 1), (1887, 2), (4677, 1), (4678, 1), (4679, 1), (4680, 1), (4681, 1), (4682, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (30, 1), (31, 1), (50, 1), (64, 1), (109, 1), (185, 1), (193, 1), (332, 1), (344, 1), (1068, 1), (1702, 1), (2772, 1), (4664, 1), (4668, 1), (4683, 1), (4684, 1), (4685, 1), (4686, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (30, 1), (36, 1), (50, 1), (53, 1), (82, 1), (90, 1), (168, 1), (185, 1), (190, 1), (256, 1), (332, 1), (353, 1), (428, 1), (600, 1), (709, 1), (914, 1), (1139, 1), (1308, 1), (1747, 1), (2009, 1), (4687, 1), (4688, 1), (4689, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (36, 1), (50, 1), (53, 1), (90, 1), (108, 1), (117, 1), (232, 1), (410, 1), (709, 1), (1460, 1), (1655, 1), (4690, 1), (4691, 1), (4692, 1), (4693, 1)], [(8, 1), (18, 1), (20, 2), (226, 1), (351, 1), (1499, 1), (1875, 1), (4070, 1), (4694, 1), (4695, 1)], [(8, 1), (37, 1), (53, 1), (166, 1), (172, 1), (217, 1), (268, 1), (415, 1), (620, 1), (639, 1), (833, 1), (1647, 1), (4691, 1), (4696, 1), (4697, 1)], [(8, 1), (50, 1), (53, 1), (117, 1), (232, 1), (599, 1), (600, 1), (658, 1), (4698, 1)], [(20, 1), (77, 1), (331, 1), (1139, 1), (1714, 1), (2981, 1), (4696, 1)], [(7, 1), (8, 1), (20, 3), (22, 1), (31, 2), (53, 1), (54, 1), (69, 1), (77, 1), (109, 1), (166, 1), (172, 1), (212, 1), (215, 2), (344, 1), (365, 1), (412, 1), (420, 1), (531, 1), (680, 1), (834, 1), (957, 1), (1116, 1), (1348, 1), (1733, 1), (2228, 1), (3041, 1), (4690, 1), (4696, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (25, 1), (50, 2), (53, 6), (77, 1), (90, 1), (109, 1), (111, 1), (124, 1), (407, 1), (414, 1), (418, 1), (620, 1), (791, 1), (833, 1), (1240, 1), (1403, 1), (1731, 1), (2487, 1), (2981, 1), (4041, 1), (4690, 1), (4691, 1), (4696, 1), (4699, 1), (4700, 1), (4701, 1), (4702, 1), (4703, 1), (4704, 1), (4705, 1)], [(19, 1), (20, 2), (56, 1), (65, 1), (82, 1), (90, 1), (109, 1), (295, 1), (332, 1), (344, 1), (897, 1), (1270, 1), (1714, 1), (2825, 1), (2981, 1), (4684, 1), (4706, 1)], [(247, 1), (645, 1), (4707, 1)], [(247, 1), (1583, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 2), (25, 2), (37, 1), (45, 1), (50, 1), (53, 2), (55, 1), (109, 1), (220, 1), (332, 1), (399, 1), (407, 1), (516, 1), (518, 1), (875, 1), (3066, 1), (3446, 1), (3821, 1), (4708, 1), (4709, 1), (4710, 1), (4711, 1), (4712, 1), (4713, 1), (4714, 1), (4715, 1), (4716, 1)], [(8, 1), (18, 1), (20, 5), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (77, 1), (90, 1), (173, 1), (175, 1), (217, 2), (241, 1), (328, 1), (344, 1), (347, 2), (412, 1), (414, 1), (834, 1), (1005, 1), (1170, 1), (1901, 1), (2064, 1), (2270, 1), (3713, 1), (4717, 1), (4718, 1), (4719, 1), (4720, 1), (4721, 1), (4722, 1)], [(18, 1), (117, 1), (173, 1), (232, 1), (247, 1), (602, 1), (1347, 1), (4723, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (30, 1), (53, 1), (55, 1), (65, 2), (82, 1), (111, 1), (268, 2), (311, 1), (450, 1), (1932, 1), (2208, 1), (2209, 1), (2371, 1), (3446, 1), (4724, 1), (4725, 1), (4726, 1), (4727, 1), (4728, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 2), (34, 1), (37, 1), (50, 1), (53, 7), (108, 1), (109, 1), (117, 1), (173, 2), (215, 1), (220, 1), (232, 1), (289, 1), (337, 1), (414, 1), (709, 1), (1041, 1), (1159, 1), (1363, 1), (1416, 1), (1853, 1), (1904, 1), (2076, 1), (2307, 1), (2344, 2), (2359, 1), (2812, 1), (3040, 1), (4691, 1), (4729, 1), (4730, 1), (4731, 1), (4732, 1), (4733, 1), (4734, 1), (4735, 1), (4736, 1), (4737, 1), (4738, 1)], [(8, 1), (19, 1), (22, 2), (25, 1), (31, 2), (37, 1), (45, 1), (173, 1), (185, 1), (256, 1), (344, 1), (1170, 1), (1823, 2), (3522, 1), (4739, 1), (4740, 1), (4741, 1), (4742, 1), (4743, 1), (4744, 1)], [(8, 1), (50, 1), (53, 2), (71, 1), (173, 1), (268, 1), (581, 1), (645, 1), (1987, 1), (2934, 1), (4745, 1), (4746, 1), (4747, 1)], [(18, 2), (19, 1), (20, 8), (22, 1), (23, 1), (30, 1), (31, 1), (50, 1), (51, 1), (53, 3), (64, 2), (66, 1), (90, 1), (99, 1), (109, 1), (111, 3), (117, 3), (173, 3), (232, 3), (256, 1), (269, 2), (359, 1), (415, 1), (450, 1), (697, 1), (1198, 1), (1685, 1), (1702, 1), (2380, 1), (2812, 1), (3182, 1), (3192, 1), (3279, 2), (3807, 1), (4748, 1), (4749, 1), (4750, 1), (4751, 1), (4752, 1), (4753, 1), (4754, 1), (4755, 1), (4756, 1), (4757, 1), (4758, 1), (4759, 1), (4760, 1), (4761, 1), (4762, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (25, 1), (45, 1), (50, 2), (53, 5), (77, 1), (90, 1), (97, 1), (108, 1), (117, 1), (232, 1), (281, 1), (305, 1), (709, 1), (828, 1), (2107, 1), (2552, 1), (2872, 1), (2988, 1), (3138, 1), (3284, 1), (3320, 1), (3351, 1), (4165, 1), (4297, 1), (4728, 1), (4763, 1), (4764, 1), (4765, 1), (4766, 1), (4767, 1), (4768, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (30, 1), (32, 1), (36, 1), (37, 1), (45, 1), (53, 1), (109, 1), (281, 1), (344, 2), (348, 1), (450, 1), (1122, 1), (1354, 1), (1529, 1), (2107, 1), (2324, 1), (2981, 1), (3942, 1), (4769, 1), (4770, 1), (4771, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (37, 1), (45, 2), (53, 1), (124, 1), (289, 1), (293, 1), (344, 1), (938, 1), (1308, 1), (2977, 1), (3459, 1), (3942, 1), (4772, 1), (4773, 1), (4774, 1)], [(8, 1), (22, 1), (36, 1), (77, 1), (82, 1), (90, 1), (190, 1), (256, 1), (276, 1), (1377, 1), (1392, 1), (1936, 1), (4720, 1), (4775, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (30, 2), (50, 1), (53, 4), (58, 1), (71, 1), (77, 1), (82, 1), (90, 1), (169, 1), (173, 2), (241, 1), (420, 1), (428, 1), (454, 1), (498, 1), (645, 1), (711, 1), (2076, 1), (4062, 1), (4729, 1), (4776, 1), (4777, 1), (4778, 1)], [(117, 1), (232, 1), (328, 1), (1563, 1), (2010, 1), (4779, 1)], [(20, 1), (45, 2), (53, 2), (85, 1), (108, 1), (117, 1), (193, 1), (232, 1), (316, 1), (328, 1), (1187, 1), (1904, 1), (2010, 1), (4624, 1), (4779, 1), (4780, 1), (4781, 1), (4782, 1), (4783, 1), (4784, 1)], [(247, 1), (1583, 1)], [(90, 1), (247, 1), (288, 1), (344, 1), (4145, 1), (4785, 1), (4786, 1)], [(8, 1), (19, 1), (53, 1), (69, 1), (173, 1), (286, 1), (1458, 1), (1570, 1), (4684, 1), (4787, 1)], [(8, 1), (173, 1), (301, 1), (4788, 1)], [(18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (31, 1), (117, 1), (185, 1), (288, 1), (295, 1), (709, 1), (752, 1), (949, 1), (1043, 1), (1627, 1), (4082, 1), (4691, 1), (4779, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (30, 1), (32, 1), (53, 2), (82, 1), (90, 1), (173, 2), (186, 1), (256, 1), (268, 1), (307, 1), (344, 1), (347, 1), (645, 1), (809, 1), (824, 1), (833, 1), (1102, 1), (1348, 1), (1747, 1), (1797, 1), (1904, 1), (2304, 1), (2774, 1), (4781, 1), (4789, 1), (4790, 1), (4791, 1), (4792, 1), (4793, 1)], [(8, 1), (20, 1), (30, 1), (53, 1), (55, 1), (117, 1), (173, 1), (193, 1), (309, 1), (751, 1), (752, 1), (1169, 1), (1557, 1), (1702, 1), (2344, 1), (3134, 1), (3305, 1), (4794, 1), (4795, 1), (4796, 1)], [(20, 1), (117, 1), (949, 1), (1165, 1), (4779, 1), (4793, 1)], [(18, 1), (90, 1), (108, 1), (161, 1), (378, 1), (645, 1), (979, 1), (1863, 1), (1966, 1), (3418, 1), (4624, 1), (4797, 1)], [(247, 1), (2379, 1)], [(8, 1), (20, 1), (90, 1), (117, 1), (232, 1), (344, 1), (2265, 1), (4798, 1)], [(8, 1), (53, 1), (90, 1), (109, 1), (173, 1), (301, 1), (1324, 1), (1904, 1), (4799, 1), (4800, 1), (4801, 1)], [(23, 2), (32, 1), (53, 1), (55, 1), (77, 1), (90, 1), (117, 3), (173, 1), (288, 1), (289, 1), (295, 1), (752, 1), (1043, 1), (1595, 1), (1683, 1), (2031, 1), (2490, 1), (2854, 2), (4797, 1), (4802, 1), (4803, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (53, 2), (58, 2), (71, 1), (77, 1), (82, 1), (90, 1), (117, 2), (173, 1), (185, 1), (215, 1), (244, 1), (286, 1), (387, 1), (459, 1), (504, 1), (752, 1), (792, 1), (1974, 1), (2038, 1), (2239, 1), (2270, 1), (2981, 1), (4435, 1), (4804, 1), (4805, 1), (4806, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (55, 1), (77, 1), (185, 1), (263, 1), (331, 1), (771, 1), (1875, 1), (4807, 1)], [(8, 1), (20, 3), (31, 2), (53, 1), (54, 1), (58, 1), (64, 1), (117, 1), (161, 1), (232, 1), (246, 2), (256, 1), (269, 1), (344, 1), (346, 1), (1308, 1), (1904, 1), (2981, 1), (4808, 1), (4809, 1), (4810, 1), (4811, 1), (4812, 1), (4813, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (25, 1), (37, 1), (56, 1), (77, 1), (90, 1), (185, 1), (193, 1), (359, 1), (489, 1), (504, 1), (581, 1), (654, 1), (697, 1), (1041, 1), (1841, 1), (2981, 1), (3247, 1), (3260, 1), (4664, 1), (4814, 1), (4815, 1), (4816, 1), (4817, 1), (4818, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (50, 1), (53, 1), (117, 2), (173, 1), (232, 2), (241, 1), (344, 2), (406, 1), (1599, 1), (1904, 1), (2270, 1), (4819, 1), (4820, 1), (4821, 1), (4822, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (30, 1), (36, 1), (53, 1), (58, 1), (117, 1), (232, 1), (3980, 1), (4823, 1), (4824, 1), (4825, 1), (4826, 1)], [(8, 1), (18, 2), (19, 1), (22, 1), (53, 2), (55, 1), (77, 1), (90, 2), (193, 1), (256, 1), (344, 1), (922, 1), (1041, 1), (1342, 1), (1626, 1), (1779, 1), (1904, 1), (2157, 1), (2912, 1), (4165, 1), (4723, 1), (4827, 1), (4828, 1), (4829, 1)], [(8, 1), (20, 1), (45, 1), (53, 1), (85, 1), (344, 1), (420, 1), (1599, 1), (1702, 1), (1742, 1), (1904, 1), (2627, 1), (3539, 1), (4830, 1), (4831, 1), (4832, 1)], [(8, 1), (18, 1), (19, 1), (36, 1), (169, 1), (197, 1), (4833, 1), (4834, 1), (4835, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (45, 1), (77, 1), (108, 1), (161, 1), (173, 1), (310, 1), (344, 1), (697, 1), (1043, 1), (1118, 1), (2140, 1), (4836, 1), (4837, 1)], [(20, 2), (22, 1), (23, 2), (32, 1), (65, 2), (85, 1), (117, 3), (344, 1), (1167, 1), (1580, 1), (1799, 1), (1841, 1), (2337, 1), (2490, 1), (2743, 1), (3073, 1), (4794, 1), (4797, 1), (4838, 1), (4839, 1), (4840, 1)], [(20, 1), (53, 1), (58, 1), (117, 3), (232, 1), (252, 1), (328, 1), (516, 1), (1904, 1), (2485, 1), (2490, 1), (2743, 1), (4794, 1), (4797, 1), (4841, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (256, 1), (268, 1), (285, 1), (344, 1), (1889, 1), (2345, 1), (4842, 1), (4843, 1), (4844, 2)], [(8, 1), (19, 2), (20, 2), (25, 1), (30, 1), (50, 1), (53, 2), (71, 1), (117, 1), (328, 1), (388, 1), (410, 1), (563, 1), (812, 1), (827, 1), (1377, 1), (1901, 1), (1904, 1), (2472, 1), (3437, 1), (4837, 1), (4845, 1), (4846, 1), (4847, 1), (4848, 1), (4849, 1), (4850, 1), (4851, 1)], [(8, 1), (20, 2), (25, 2), (45, 2), (53, 1), (65, 1), (69, 1), (77, 1), (173, 1), (215, 1), (344, 1), (414, 1), (428, 1), (884, 1), (1377, 1), (1639, 1), (2743, 1), (2759, 1), (2831, 1), (2849, 1), (3714, 1), (4734, 1), (4840, 1), (4852, 1), (4853, 1), (4854, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (77, 1), (344, 1), (688, 1), (1010, 1), (4855, 1)], [(8, 1), (20, 6), (30, 1), (31, 2), (45, 1), (50, 2), (53, 4), (65, 1), (90, 2), (95, 1), (117, 2), (232, 1), (278, 1), (292, 1), (344, 1), (420, 1), (680, 1), (709, 1), (1071, 1), (1239, 1), (1867, 1), (2157, 1), (2361, 1), (3064, 1), (4638, 1), (4856, 1), (4857, 1), (4858, 1), (4859, 1), (4860, 1), (4861, 1), (4862, 1), (4863, 1)], [(8, 1), (18, 2), (19, 1), (20, 10), (22, 2), (25, 2), (31, 3), (37, 1), (50, 1), (53, 8), (55, 2), (58, 2), (64, 1), (97, 1), (117, 1), (193, 1), (232, 1), (256, 1), (305, 1), (344, 1), (353, 1), (399, 1), (433, 1), (529, 1), (582, 1), (632, 1), (709, 1), (777, 1), (796, 1), (1041, 1), (1102, 2), (1392, 1), (1702, 1), (1720, 1), (1765, 1), (2344, 1), (2433, 1), (2581, 1), (2743, 2), (3409, 1), (3422, 1), (3533, 1), (3536, 2), (3780, 1), (3947, 1), (4728, 1), (4864, 1), (4865, 1), (4866, 1), (4867, 1), (4868, 1), (4869, 1), (4870, 1), (4871, 1), (4872, 1), (4873, 1), (4874, 1), (4875, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 2), (31, 1), (45, 3), (53, 1), (108, 1), (130, 1), (185, 1), (215, 1), (261, 1), (268, 1), (344, 1), (566, 1), (1122, 1), (1348, 1), (1820, 1), (2173, 1), (2184, 1), (3422, 1), (3536, 1), (4723, 1), (4734, 1), (4791, 1), (4852, 1), (4876, 1), (4877, 1), (4878, 1), (4879, 1)], [(8, 1), (25, 1), (30, 1), (31, 1), (53, 1), (90, 1), (124, 2), (301, 1), (3536, 1), (4880, 1), (4881, 1)], [(8, 1), (20, 3), (24, 1), (25, 1), (37, 1), (53, 2), (214, 1), (632, 1), (3274, 1), (4853, 1), (4882, 1)], [(117, 1), (247, 1), (1583, 1)], [(31, 1), (293, 1), (506, 1), (1562, 1), (1580, 1), (4883, 1), (4884, 1)], [(20, 2), (22, 1), (31, 1), (37, 1), (50, 1), (53, 1), (58, 1), (117, 1), (173, 1), (214, 1), (256, 1), (293, 1), (1562, 1), (1580, 1), (1628, 1), (1720, 1), (4479, 1), (4885, 1), (4886, 1), (4887, 1), (4888, 1)], [(8, 1), (18, 2), (19, 4), (20, 10), (22, 3), (25, 3), (30, 4), (31, 3), (45, 3), (50, 4), (53, 7), (55, 1), (58, 1), (64, 1), (65, 1), (71, 1), (77, 1), (90, 1), (108, 2), (117, 2), (124, 1), (173, 1), (193, 1), (215, 3), (232, 2), (256, 2), (269, 2), (289, 1), (293, 2), (310, 1), (323, 3), (327, 1), (328, 1), (332, 1), (337, 2), (338, 1), (344, 1), (368, 1), (428, 1), (446, 1), (551, 1), (573, 1), (621, 1), (645, 1), (777, 2), (983, 1), (988, 1), (1224, 1), (1702, 2), (1799, 1), (1824, 1), (2019, 1), (2326, 1), (2329, 1), (2344, 1), (2471, 1), (3016, 1), (3341, 1), (3561, 1), (3632, 1), (3771, 1), (4787, 2), (4852, 1), (4858, 1), (4883, 2), (4889, 1), (4890, 1), (4891, 1), (4892, 1), (4893, 1), (4894, 1), (4895, 1), (4896, 1), (4897, 1), (4898, 1), (4899, 1), (4900, 1), (4901, 1), (4902, 1), (4903, 1), (4904, 1), (4905, 1), (4906, 1), (4907, 1), (4908, 1), (4909, 1), (4910, 1), (4911, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (25, 1), (32, 1), (37, 1), (50, 1), (53, 4), (64, 1), (108, 1), (109, 1), (225, 1), (331, 1), (365, 1), (702, 1), (708, 1), (709, 2), (1159, 1), (1342, 1), (2360, 1), (4691, 1), (4728, 1), (4796, 1), (4912, 1), (4913, 1), (4914, 1), (4915, 1), (4916, 1)], [(20, 2), (50, 1), (53, 1), (54, 1), (247, 1), (311, 1), (658, 1), (709, 1), (763, 1), (1580, 1), (4917, 1), (4918, 1)], [(8, 1), (53, 1), (54, 1), (344, 1), (4919, 1)], [(8, 1), (22, 1), (53, 2), (82, 1), (173, 1), (190, 1), (301, 1), (365, 1), (1988, 1), (4920, 1), (4921, 1), (4922, 1)], [(8, 1), (19, 1), (20, 1), (53, 1), (77, 1), (126, 1), (414, 1), (479, 1), (516, 1), (709, 1), (1590, 1), (3036, 1), (3189, 1)], [(8, 1), (19, 1), (20, 5), (22, 3), (25, 3), (31, 1), (32, 1), (37, 2), (45, 1), (53, 3), (55, 1), (77, 1), (117, 1), (185, 1), (197, 1), (214, 2), (232, 1), (301, 1), (344, 2), (420, 3), (485, 1), (600, 1), (704, 1), (706, 1), (754, 1), (777, 1), (970, 1), (1159, 1), (1354, 1), (1799, 1), (3100, 1), (4251, 1), (4799, 1), (4866, 1), (4923, 1), (4924, 1), (4925, 1), (4926, 1), (4927, 1), (4928, 1), (4929, 1), (4930, 1), (4931, 1), (4932, 1), (4933, 1), (4934, 1)], [(8, 1), (20, 3), (25, 2), (30, 1), (32, 1), (36, 1), (50, 1), (53, 4), (55, 1), (77, 1), (82, 1), (95, 1), (97, 1), (111, 1), (173, 2), (260, 1), (268, 1), (337, 1), (365, 1), (382, 1), (430, 1), (518, 1), (678, 1), (884, 1), (1348, 1), (2401, 1), (3183, 1), (4214, 1), (4741, 1), (4858, 1), (4904, 1), (4929, 1), (4935, 1), (4936, 1), (4937, 1), (4938, 1)], [(8, 1), (18, 1), (20, 3), (21, 1), (23, 1), (25, 1), (31, 1), (50, 1), (53, 3), (54, 2), (58, 1), (170, 1), (172, 1), (215, 1), (310, 1), (344, 1), (428, 1), (432, 1), (709, 1), (771, 1), (2981, 1), (4729, 1), (4852, 1), (4939, 1), (4940, 1), (4941, 1)], [(19, 1), (20, 4), (25, 1), (30, 1), (31, 1), (45, 1), (53, 1), (117, 1), (247, 1), (301, 1), (357, 1), (596, 1), (811, 1), (893, 1), (3036, 1), (4226, 1), (4609, 1), (4942, 1), (4943, 1), (4944, 1), (4945, 1)], [(1562, 1), (4946, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 4), (25, 1), (45, 2), (53, 2), (85, 1), (90, 1), (109, 1), (281, 1), (344, 1), (365, 1), (704, 1), (1170, 1), (2064, 1), (2895, 1), (3020, 1), (4947, 1), (4948, 1), (4949, 1), (4950, 1), (4951, 1), (4952, 1)], [(7, 1), (8, 1), (18, 1), (53, 1), (77, 1), (90, 1), (173, 1), (193, 1), (281, 1), (301, 1), (777, 1), (1380, 1), (1416, 1), (1693, 1), (4646, 1), (4953, 1), (4954, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (53, 2), (268, 1), (337, 1), (428, 1), (702, 1), (709, 1), (1045, 1), (1057, 1), (1106, 1), (1529, 1), (1732, 1), (1820, 1), (1824, 1), (2066, 1), (2934, 1), (4767, 1), (4895, 1), (4955, 1), (4956, 1), (4957, 1), (4958, 1), (4959, 1), (4960, 1), (4961, 1)], [(8, 1), (20, 3), (31, 1), (40, 1), (53, 5), (109, 1), (215, 1), (256, 1), (331, 1), (338, 1), (344, 1), (433, 1), (778, 1), (1012, 1), (1137, 1), (1159, 1), (1458, 1), (1627, 1), (2173, 1), (2256, 1), (2355, 1), (2977, 1), (4042, 1), (4532, 1), (4741, 1), (4962, 1), (4963, 1), (4964, 1), (4965, 1), (4966, 1), (4967, 1), (4968, 1), (4969, 1), (4970, 1)], [(8, 1), (45, 1), (64, 1), (92, 1), (281, 1), (742, 1), (1628, 1), (4600, 1), (4971, 1), (4972, 1)], [(8, 1), (20, 1), (32, 1), (37, 1), (45, 1), (46, 1), (53, 1), (65, 1), (77, 1), (278, 1), (332, 1), (359, 1), (602, 1), (4723, 1), (4973, 1), (4974, 1)], [(7, 1), (8, 1), (19, 4), (20, 5), (22, 1), (24, 1), (25, 2), (30, 2), (34, 1), (50, 1), (53, 2), (54, 1), (91, 1), (108, 1), (124, 2), (185, 1), (193, 1), (246, 1), (265, 1), (281, 1), (334, 1), (450, 1), (526, 1), (711, 1), (1012, 1), (1196, 1), (2076, 1), (2344, 1), (2812, 1), (2985, 1), (3237, 1), (3409, 1), (4117, 1), (4491, 1), (4822, 1), (4832, 1), (4975, 1), (4976, 1), (4977, 1), (4978, 1), (4979, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (30, 1), (55, 1), (77, 1), (90, 1), (117, 1), (232, 1), (288, 1), (344, 1), (450, 1), (711, 1), (897, 1), (2752, 1), (3241, 1), (4980, 1), (4981, 1), (4982, 1)], [(77, 1), (117, 1), (596, 1), (1714, 1), (4386, 1), (4983, 1)], [(357, 1), (1714, 1), (4137, 1), (4984, 1)], [(445, 1), (1714, 1), (4985, 1)], [(596, 1), (1115, 1), (1714, 1)], [(8, 1), (20, 2), (32, 1), (50, 1), (53, 1), (178, 1), (301, 1), (344, 1), (1580, 1), (2812, 1), (2981, 1), (4986, 1)], [(7, 2), (8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (24, 1), (25, 1), (30, 2), (50, 1), (53, 2), (75, 1), (77, 3), (82, 2), (90, 1), (91, 1), (109, 2), (173, 1), (256, 3), (281, 1), (323, 1), (332, 1), (344, 1), (489, 1), (531, 1), (711, 1), (740, 1), (834, 1), (1139, 1), (1308, 1), (2084, 3), (2140, 1), (2265, 1), (2320, 1), (2934, 1), (4145, 1), (4982, 1), (4987, 1), (4988, 1), (4989, 1), (4990, 1), (4991, 1)], [(18, 1), (21, 1), (23, 2), (25, 2), (50, 1), (53, 4), (173, 1), (242, 1), (323, 1), (332, 1), (345, 1), (353, 1), (365, 1), (405, 1), (739, 1), (897, 1), (1562, 1), (1563, 1), (3552, 1), (4624, 1), (4782, 1), (4794, 1), (4975, 1), (4992, 1), (4993, 1)], [(20, 1), (30, 1), (344, 1), (1714, 1), (4942, 1), (4994, 1)], [(20, 1), (53, 1), (240, 1), (247, 1), (332, 1), (345, 1), (357, 1), (739, 1), (4939, 1), (4995, 1), (4996, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (32, 1), (53, 1), (124, 2), (173, 1), (214, 1), (256, 1), (263, 1), (378, 1), (414, 1), (885, 1), (1702, 1), (2266, 1), (2934, 1), (4997, 1), (4998, 1), (4999, 1), (5000, 1), (5001, 1)], [(7, 1), (8, 1), (19, 3), (20, 4), (22, 1), (25, 2), (30, 3), (45, 1), (50, 1), (53, 3), (54, 1), (82, 1), (85, 1), (88, 1), (90, 1), (91, 2), (108, 3), (109, 1), (173, 2), (185, 1), (240, 1), (256, 1), (278, 1), (281, 1), (286, 1), (332, 1), (334, 1), (344, 2), (365, 1), (415, 1), (420, 2), (428, 1), (470, 1), (605, 1), (709, 1), (711, 1), (990, 1), (1644, 2), (1824, 1), (1932, 1), (2258, 1), (2283, 1), (3102, 1), (3382, 1), (4082, 1), (4117, 1), (4465, 1), (4473, 1), (4618, 1), (4744, 1), (4782, 1), (5002, 1), (5003, 1), (5004, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (31, 1), (37, 1), (50, 1), (53, 2), (55, 2), (75, 1), (82, 1), (269, 1), (301, 1), (332, 1), (344, 1), (415, 1), (711, 1), (897, 1), (1585, 1), (1823, 1), (1867, 1), (2324, 1), (3024, 1), (5005, 1), (5006, 1), (5007, 1), (5008, 1), (5009, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (30, 1), (32, 1), (53, 4), (55, 1), (64, 1), (77, 1), (78, 1), (85, 1), (109, 1), (186, 1), (215, 2), (310, 1), (331, 1), (344, 2), (365, 2), (420, 1), (428, 1), (531, 2), (680, 1), (686, 1), (771, 1), (1585, 1), (1702, 1), (1738, 1), (1756, 1), (3287, 1), (3883, 1), (5010, 1), (5011, 1), (5012, 1), (5013, 1), (5014, 1), (5015, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (29, 1), (30, 1), (31, 1), (36, 1), (37, 1), (45, 2), (50, 1), (53, 4), (65, 1), (90, 1), (95, 1), (173, 2), (228, 1), (281, 1), (293, 1), (310, 1), (378, 1), (420, 1), (428, 1), (449, 1), (516, 1), (693, 1), (744, 1), (778, 1), (1416, 1), (2694, 1), (3919, 1), (4936, 1), (5016, 1), (5017, 1), (5018, 1), (5019, 1), (5020, 1), (5021, 1), (5022, 1), (5023, 1), (5024, 1), (5025, 1)], [(8, 1), (50, 1), (53, 2), (74, 1), (85, 1), (117, 1), (232, 1), (344, 1), (345, 1), (769, 1), (2157, 1), (5026, 1), (5027, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (45, 1), (301, 1), (4582, 1), (4643, 1), (5028, 1), (5029, 1), (5030, 1)], [(8, 1), (20, 1), (25, 1), (77, 1), (82, 1), (108, 1), (173, 1), (215, 1), (286, 1), (344, 1), (1747, 1), (4656, 1), (4658, 1), (5031, 1), (5032, 1), (5033, 1)], [(8, 1), (36, 1), (45, 1), (77, 1), (90, 1), (479, 1), (1731, 1), (4662, 1), (4858, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (36, 1), (37, 2), (45, 2), (50, 1), (55, 1), (90, 1), (173, 1), (185, 1), (190, 1), (290, 1), (332, 1), (433, 1), (1170, 1), (1377, 1), (1702, 1), (1758, 1), (1868, 1), (3000, 1), (4136, 1), (4658, 1), (5034, 1), (5035, 1), (5036, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (77, 1), (82, 1), (94, 1), (108, 2), (226, 1), (256, 1), (331, 1), (2981, 1), (4509, 1), (4662, 1), (4663, 1), (5037, 1), (5038, 1), (5039, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (30, 1), (31, 2), (50, 1), (53, 3), (54, 1), (77, 1), (95, 1), (109, 1), (185, 1), (288, 1), (331, 1), (332, 1), (344, 1), (365, 1), (4658, 1), (5040, 1), (5041, 1), (5042, 1), (5043, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 2), (30, 1), (45, 1), (71, 1), (82, 1), (99, 2), (108, 2), (215, 1), (256, 1), (307, 2), (344, 1), (1685, 2), (2184, 2), (4635, 1), (4663, 1), (4664, 1), (5044, 1), (5045, 1)], [(19, 1), (20, 1), (22, 1), (50, 1), (58, 1), (66, 1), (82, 1), (88, 1), (99, 1), (256, 1), (344, 1), (504, 1), (516, 1), (1685, 1), (5046, 1), (5047, 1), (5048, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (50, 1), (53, 3), (54, 1), (65, 1), (68, 1), (117, 1), (173, 1), (206, 1), (232, 1), (323, 1), (344, 1), (365, 1), (420, 1), (654, 1), (903, 2), (1377, 1), (1467, 1), (1590, 3), (2410, 1), (2436, 1), (2465, 1), (2469, 1), (4619, 1), (4930, 1), (5049, 1), (5050, 1), (5051, 1), (5052, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 2), (25, 2), (30, 1), (37, 1), (45, 4), (53, 3), (54, 1), (55, 2), (65, 1), (90, 2), (91, 1), (109, 2), (193, 1), (215, 1), (220, 1), (338, 1), (353, 1), (414, 1), (608, 1), (708, 1), (739, 1), (903, 1), (1170, 1), (1324, 1), (1380, 1), (1961, 1), (2163, 1), (2185, 1), (2365, 1), (2469, 1), (2643, 1), (2847, 1), (2995, 1), (3000, 1), (3468, 1), (4931, 1), (5053, 1), (5054, 1), (5055, 1), (5056, 1), (5057, 1), (5058, 1), (5059, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (25, 2), (31, 1), (32, 1), (45, 1), (50, 1), (53, 3), (55, 2), (108, 1), (124, 1), (173, 1), (193, 1), (215, 1), (261, 1), (332, 1), (351, 1), (426, 1), (776, 1), (777, 1), (903, 1), (1170, 1), (1377, 1), (1416, 1), (1758, 1), (2344, 1), (2406, 1), (2965, 1), (4576, 1), (5060, 1), (5061, 1), (5062, 1), (5063, 1), (5064, 1)], [(20, 3), (25, 1), (45, 1), (50, 1), (53, 2), (55, 1), (173, 2), (206, 1), (301, 1), (392, 1), (433, 1), (531, 1), (563, 1), (706, 1), (777, 1), (1115, 1), (1458, 1), (1763, 1), (1824, 1), (2436, 1), (5065, 1), (5066, 1), (5067, 1), (5068, 1), (5069, 1), (5070, 1)], [(8, 1), (20, 1), (22, 1), (45, 1), (64, 1), (75, 1), (99, 1), (225, 1), (256, 1), (269, 1), (281, 2), (332, 1), (506, 1), (1354, 1), (1448, 1), (2479, 1), (4635, 1), (5071, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 2), (22, 1), (23, 2), (25, 2), (37, 1), (53, 1), (71, 1), (90, 1), (96, 1), (108, 1), (124, 1), (172, 1), (242, 1), (295, 3), (344, 1), (506, 1), (830, 1), (833, 1), (1702, 1), (2365, 1), (2495, 1), (4297, 1), (4299, 1), (4384, 1), (4643, 1), (4655, 1), (4669, 1), (5072, 1), (5073, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 1), (25, 3), (32, 1), (50, 2), (53, 2), (65, 1), (90, 1), (97, 1), (99, 3), (109, 1), (124, 1), (185, 1), (215, 2), (269, 1), (274, 2), (285, 1), (288, 1), (310, 1), (317, 1), (328, 1), (331, 1), (332, 1), (344, 1), (414, 1), (415, 1), (448, 1), (672, 1), (702, 1), (706, 1), (1139, 1), (1529, 1), (3741, 1), (3907, 1), (4643, 1), (4655, 1), (4770, 1), (5074, 2), (5075, 1), (5076, 1), (5077, 2)], [(7, 2), (8, 1), (18, 1), (19, 2), (20, 6), (25, 3), (31, 1), (45, 3), (50, 2), (53, 3), (65, 1), (94, 1), (109, 1), (111, 1), (173, 1), (193, 2), (332, 1), (344, 1), (345, 1), (487, 1), (509, 1), (531, 1), (709, 1), (743, 1), (827, 1), (834, 1), (1347, 1), (1931, 1), (2514, 1), (2825, 1), (3301, 1), (3709, 1), (3907, 1), (4690, 1), (4922, 1), (4998, 1), (5078, 1), (5079, 1), (5080, 1), (5081, 1), (5082, 1), (5083, 1), (5084, 1), (5085, 1), (5086, 1), (5087, 1), (5088, 1)], [(8, 1), (22, 1), (77, 1), (173, 1), (301, 1), (332, 1), (812, 1), (2315, 1), (4691, 1), (5089, 1)], [(8, 1), (19, 1), (20, 4), (25, 4), (30, 5), (31, 1), (37, 1), (45, 1), (50, 3), (53, 6), (55, 1), (56, 1), (95, 1), (117, 2), (172, 1), (182, 1), (209, 1), (281, 1), (310, 2), (332, 1), (410, 1), (419, 1), (426, 1), (428, 1), (459, 1), (486, 1), (518, 1), (672, 1), (706, 1), (777, 1), (1139, 1), (1403, 1), (1600, 1), (1760, 1), (2543, 1), (2652, 1), (2789, 1), (3356, 1), (3734, 1), (4598, 1), (4641, 1), (4794, 2), (4910, 1), (5090, 1), (5091, 1), (5092, 1), (5093, 1), (5094, 1), (5095, 1), (5096, 1)], [(8, 1), (20, 3), (50, 3), (53, 5), (85, 1), (95, 1), (117, 1), (161, 1), (173, 1), (232, 1), (260, 2), (281, 1), (332, 1), (420, 2), (442, 1), (509, 1), (583, 1), (769, 1), (897, 2), (964, 1), (1432, 1), (1742, 1), (2030, 1), (2400, 1), (2925, 1), (4439, 1), (4624, 1), (5097, 1), (5098, 1), (5099, 1), (5100, 1), (5101, 1)], [(8, 1), (18, 1), (20, 5), (21, 2), (22, 3), (25, 8), (37, 1), (45, 1), (50, 4), (53, 11), (65, 1), (74, 1), (85, 1), (95, 1), (98, 1), (109, 1), (117, 2), (168, 1), (186, 1), (232, 1), (281, 1), (282, 1), (332, 1), (344, 3), (345, 1), (365, 2), (405, 1), (418, 1), (420, 1), (426, 2), (433, 1), (516, 1), (583, 1), (792, 1), (1010, 1), (1342, 1), (1702, 1), (2077, 1), (2157, 1), (2275, 1), (2355, 1), (2475, 1), (2514, 1), (3426, 1), (3491, 1), (3552, 1), (5027, 1), (5070, 1), (5102, 1), (5103, 1), (5104, 1), (5105, 1), (5106, 1), (5107, 1), (5108, 1), (5109, 1), (5110, 1), (5111, 1), (5112, 1)], [(20, 1), (54, 1), (90, 1), (96, 1), (331, 1), (1714, 1), (2981, 1)], [(19, 1), (50, 1), (53, 2), (247, 1), (553, 1), (2977, 1), (5113, 1), (5114, 1), (5115, 1)], [(54, 1), (58, 1), (247, 1), (658, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (50, 1), (53, 1), (58, 1), (64, 1), (77, 1), (90, 2), (106, 1), (185, 1), (323, 1), (332, 1), (415, 1), (672, 1), (2981, 1), (3907, 1), (4643, 1), (4910, 1), (5116, 1)], [(19, 1), (30, 1), (56, 1), (109, 1), (185, 1), (247, 1), (283, 1), (3301, 1), (5117, 1), (5118, 1), (5119, 1)], [(18, 1), (19, 2), (30, 1), (53, 1), (91, 1), (225, 1), (247, 1), (281, 1), (323, 1), (332, 1), (420, 1), (428, 1), (537, 1), (1585, 1), (4652, 1), (4692, 1), (5118, 1), (5120, 1), (5121, 1)], [(19, 3), (30, 1), (247, 1), (291, 1), (323, 1), (833, 1), (1964, 1), (4692, 1), (5118, 1), (5122, 1)], [(19, 2), (30, 2), (77, 1), (81, 1), (124, 1), (246, 1), (247, 1), (833, 1), (2178, 1), (3787, 1), (5118, 1)], [(19, 1), (20, 2), (30, 1), (31, 1), (56, 1), (82, 1), (185, 1), (247, 1), (323, 1), (5118, 1), (5123, 1), (5124, 1)], [(19, 2), (20, 1), (30, 1), (71, 2), (82, 1), (94, 1), (247, 1), (260, 1), (285, 1), (323, 1), (459, 1), (1102, 1), (4867, 1), (5118, 1), (5125, 1)], [(18, 1), (19, 2), (20, 3), (30, 1), (53, 1), (58, 1), (77, 1), (83, 1), (215, 1), (225, 1), (323, 1), (334, 1), (1178, 1), (1377, 1), (1529, 1), (2462, 1), (4910, 1), (5126, 1), (5127, 1), (5128, 1), (5129, 1)], [(18, 3), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (36, 1), (45, 2), (55, 1), (85, 1), (91, 1), (108, 1), (109, 1), (173, 1), (215, 1), (247, 1), (261, 1), (301, 1), (338, 1), (897, 1), (1013, 1), (1324, 1), (1377, 1), (1415, 1), (1416, 1), (1458, 1), (2925, 1), (2977, 1), (3256, 1), (5011, 1), (5130, 1), (5131, 1), (5132, 1), (5133, 1), (5134, 1)], [(247, 1), (2981, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (50, 3), (53, 4), (75, 1), (77, 2), (90, 1), (197, 1), (328, 1), (338, 1), (414, 1), (833, 1), (1541, 1), (2795, 1), (3110, 1), (3540, 1), (4568, 1), (4910, 2), (5135, 2)], [(53, 2), (65, 1), (77, 1), (82, 1), (833, 1), (1042, 1), (1714, 1), (2366, 1), (2909, 1), (3110, 1), (5136, 1), (5137, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (21, 2), (25, 2), (30, 1), (40, 1), (45, 1), (50, 1), (53, 1), (77, 1), (168, 1), (185, 1), (229, 1), (305, 1), (323, 1), (544, 1), (1005, 1), (1348, 2), (2258, 1), (2545, 1), (2774, 1), (4970, 1), (5135, 1), (5138, 1), (5139, 1), (5140, 1), (5141, 1)], [(8, 1), (19, 1), (20, 1), (30, 3), (50, 1), (53, 1), (56, 1), (77, 1), (170, 1), (185, 1), (225, 1), (246, 1), (276, 1), (310, 1), (420, 1), (709, 1), (1071, 1), (1824, 1), (3468, 1), (5138, 1), (5142, 1), (5143, 1), (5144, 1)], [(8, 1), (19, 1), (20, 4), (25, 3), (30, 1), (31, 1), (37, 1), (50, 1), (53, 2), (58, 1), (77, 1), (85, 1), (109, 1), (173, 1), (268, 1), (323, 1), (1102, 1), (1487, 1), (2075, 1), (3409, 1), (4664, 1), (4885, 1), (5138, 1), (5145, 1), (5146, 1), (5147, 1), (5148, 1), (5149, 1), (5150, 1), (5151, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (25, 1), (30, 1), (45, 1), (53, 1), (65, 1), (77, 2), (111, 1), (256, 1), (268, 1), (323, 1), (332, 1), (345, 1), (1001, 1), (1308, 1), (1932, 1), (3540, 1), (3841, 1), (4519, 1), (5135, 1), (5138, 1), (5152, 1), (5153, 1), (5154, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (37, 1), (50, 4), (53, 5), (77, 1), (109, 1), (185, 1), (283, 1), (435, 1), (518, 1), (581, 1), (812, 1), (1541, 1), (2237, 1), (4981, 1), (5138, 1), (5155, 1), (5156, 1), (5157, 1), (5158, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (21, 2), (23, 1), (25, 1), (30, 1), (45, 2), (46, 1), (55, 1), (71, 1), (111, 1), (190, 1), (226, 1), (273, 1), (309, 1), (310, 1), (323, 1), (331, 1), (506, 1), (581, 1), (669, 1), (1686, 1), (2324, 1), (2667, 1), (3786, 1), (4353, 1), (4392, 1), (4418, 1), (4942, 1), (4985, 1), (5135, 1), (5159, 1), (5160, 1), (5161, 1), (5162, 1)], [(8, 1), (19, 2), (20, 2), (23, 1), (56, 1), (71, 2), (111, 1), (117, 1), (124, 1), (172, 1), (185, 1), (229, 1), (232, 1), (833, 1), (2495, 1), (5163, 1), (5164, 1)], [(19, 1), (22, 1), (23, 1), (45, 1), (50, 1), (53, 1), (77, 2), (85, 1), (90, 1), (96, 1), (108, 1), (173, 1), (185, 1), (332, 1), (392, 1), (527, 1), (645, 1), (743, 1), (946, 1), (1742, 1), (3476, 1), (3810, 1), (5165, 1), (5166, 1), (5167, 1)], [(8, 1), (18, 1), (20, 5), (25, 2), (31, 1), (36, 1), (37, 1), (45, 2), (53, 2), (54, 1), (55, 1), (70, 1), (124, 1), (173, 1), (233, 1), (256, 1), (268, 1), (293, 1), (347, 1), (1054, 1), (1057, 1), (1115, 1), (1354, 1), (1519, 1), (1557, 1), (1656, 1), (2184, 1), (2977, 1), (4579, 1), (5168, 1), (5169, 1), (5170, 1)], [(1233, 1), (1544, 1)], [(8, 1), (126, 1), (5171, 1), (5172, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (53, 4), (65, 1), (70, 1), (109, 1), (173, 1), (307, 1), (328, 1), (448, 1), (894, 1), (1342, 1), (1498, 1), (1656, 1), (1929, 1), (2310, 1), (2422, 1), (3614, 1), (4207, 2), (4211, 1), (5168, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (25, 2), (31, 2), (36, 1), (45, 4), (50, 1), (53, 2), (54, 2), (55, 2), (65, 1), (75, 1), (90, 1), (186, 1), (193, 1), (269, 1), (307, 1), (414, 2), (428, 1), (688, 1), (697, 1), (704, 1), (884, 1), (999, 1), (1041, 2), (1197, 1), (1324, 1), (1377, 1), (2271, 1), (2320, 1), (2397, 1), (2409, 1), (2541, 1), (2685, 1), (2857, 1), (2863, 1), (2864, 1), (2977, 2), (3188, 1), (3509, 1), (5173, 1), (5174, 1), (5175, 1), (5176, 1), (5177, 1)], [(8, 1), (18, 3), (19, 2), (20, 6), (21, 2), (22, 2), (23, 1), (25, 3), (30, 1), (32, 1), (45, 1), (50, 1), (53, 3), (55, 1), (58, 1), (65, 1), (164, 1), (173, 1), (174, 1), (186, 2), (193, 1), (197, 1), (215, 1), (221, 1), (301, 1), (328, 1), (414, 1), (827, 1), (829, 1), (1172, 1), (1255, 1), (1272, 1), (1416, 1), (1627, 1), (1695, 1), (1764, 1), (1847, 1), (1882, 1), (2099, 1), (2140, 1), (2347, 1), (2354, 1), (2766, 1), (2911, 1), (3302, 1), (3591, 1), (4631, 1), (5178, 1), (5179, 1), (5180, 1), (5181, 1), (5182, 1), (5183, 1), (5184, 1), (5185, 1), (5186, 1), (5187, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (36, 1), (45, 1), (50, 2), (53, 2), (54, 2), (58, 1), (82, 1), (90, 1), (124, 1), (166, 1), (173, 1), (193, 3), (215, 1), (269, 1), (285, 1), (329, 1), (457, 2), (744, 1), (827, 1), (829, 1), (833, 1), (894, 1), (897, 1), (1102, 1), (1129, 1), (1272, 1), (1278, 1), (1308, 1), (1342, 1), (1458, 1), (1892, 1), (2819, 2), (3031, 1), (3134, 1), (5183, 1), (5188, 1), (5189, 1), (5190, 1), (5191, 1)], [(8, 1), (23, 1), (30, 1), (289, 1), (1068, 1), (1227, 1), (1391, 1), (3827, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (21, 2), (25, 1), (31, 1), (45, 1), (53, 1), (54, 2), (58, 1), (97, 1), (173, 1), (193, 1), (202, 1), (268, 1), (347, 1), (410, 1), (1102, 1), (1580, 1), (1824, 1), (1901, 1), (2977, 1), (4289, 1), (4465, 1), (4469, 1), (5192, 1), (5193, 1), (5194, 1), (5195, 1)], [(8, 1), (53, 1), (1072, 1), (1628, 1), (2705, 1), (5196, 1)], [(8, 1), (18, 3), (20, 4), (22, 1), (23, 2), (25, 2), (29, 1), (31, 1), (37, 1), (45, 2), (50, 2), (53, 1), (90, 1), (236, 1), (261, 1), (285, 1), (328, 1), (338, 1), (726, 1), (829, 1), (903, 1), (1297, 1), (1403, 1), (1961, 1), (2401, 1), (2548, 1), (3418, 1), (3424, 1), (3629, 1), (5197, 1), (5198, 1), (5199, 1), (5200, 1), (5201, 1), (5202, 1)], [(8, 1), (18, 1), (20, 2), (37, 1), (45, 1), (53, 1), (54, 1), (82, 1), (97, 1), (166, 1), (185, 1), (253, 1), (260, 1), (328, 1), (331, 1), (372, 1), (410, 1), (526, 1), (4143, 1), (5203, 1), (5204, 1), (5205, 1), (5206, 1)], [(8, 1), (18, 2), (25, 1), (36, 1), (323, 1), (347, 3), (516, 1), (645, 1), (812, 2), (2304, 1), (5207, 1), (5208, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (23, 1), (25, 2), (31, 1), (45, 3), (54, 4), (58, 3), (82, 1), (85, 1), (90, 1), (124, 1), (185, 1), (190, 1), (256, 1), (269, 1), (278, 1), (285, 1), (526, 1), (531, 1), (706, 2), (827, 1), (833, 1), (909, 1), (2099, 1), (2304, 1), (2831, 1), (3255, 1), (3371, 1), (4615, 1), (5209, 1), (5210, 1), (5211, 1), (5212, 1), (5213, 1), (5214, 1), (5215, 1)], [(8, 1), (20, 2), (30, 1), (31, 1), (50, 2), (53, 1), (58, 1), (62, 1), (117, 1), (122, 1), (182, 1), (215, 1), (232, 1), (256, 1), (506, 1), (706, 1), (830, 1), (1470, 1), (5216, 1), (5217, 1), (5218, 1), (5219, 1), (5220, 1)], [(8, 1), (20, 2), (53, 2), (97, 1), (109, 1), (122, 1), (174, 2), (347, 1), (414, 1), (418, 1), (452, 1), (459, 1), (516, 1), (767, 1), (922, 1), (2703, 1), (3540, 1), (3956, 1), (4544, 1), (4989, 1), (5221, 1), (5222, 1), (5223, 1), (5224, 1), (5225, 1), (5226, 1)], [(8, 1), (54, 1), (3614, 1), (5217, 1), (5227, 1), (5228, 1), (5229, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (30, 1), (50, 1), (53, 4), (54, 1), (55, 2), (65, 1), (71, 1), (85, 1), (109, 1), (164, 1), (173, 1), (193, 1), (215, 1), (256, 1), (289, 1), (293, 1), (411, 1), (812, 2), (1350, 1), (1377, 1), (1484, 1), (1580, 1), (1590, 1), (1695, 1), (1820, 1), (2034, 1), (2053, 1), (2271, 1), (3733, 1), (3739, 1), (4791, 1), (5178, 1), (5183, 1), (5230, 1), (5231, 1), (5232, 1), (5233, 1), (5234, 1), (5235, 1), (5236, 1)], [(8, 1), (20, 2), (23, 2), (25, 1), (31, 1), (45, 1), (50, 1), (53, 3), (185, 1), (217, 1), (236, 1), (281, 1), (288, 1), (329, 1), (347, 2), (419, 1), (452, 1), (506, 1), (777, 1), (894, 1), (976, 1), (1069, 1), (1224, 1), (1613, 1), (1667, 1), (2049, 1), (2847, 1), (2926, 1), (2994, 1), (3645, 1), (3648, 1), (5237, 1), (5238, 1), (5239, 1)], [(8, 1), (19, 1), (22, 1), (82, 1), (88, 1), (91, 1), (99, 1), (193, 1), (214, 1), (288, 1), (301, 1), (1511, 1), (1685, 1), (2127, 1), (2744, 1), (2847, 1), (3034, 1), (4325, 1)], [(8, 1), (18, 1), (22, 1), (50, 1), (65, 1), (214, 1), (450, 1), (580, 1), (675, 1), (711, 1), (763, 1), (1005, 1), (2298, 1), (2359, 1), (5240, 1), (5241, 1), (5242, 1), (5243, 1)], [(8, 1), (20, 2), (23, 1), (31, 1), (37, 1), (53, 2), (55, 1), (90, 1), (111, 1), (193, 1), (256, 1), (347, 1), (415, 1), (441, 1), (452, 1), (812, 1), (884, 1), (2820, 1), (3038, 1), (3434, 1), (3614, 1), (5244, 1)], [(8, 1), (19, 2), (22, 1), (36, 1), (45, 1), (50, 1), (53, 1), (172, 1), (188, 1), (268, 2), (353, 1), (411, 1), (5245, 1), (5246, 1), (5247, 1), (5248, 1), (5249, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (54, 1), (58, 1), (69, 1), (185, 1), (215, 1), (281, 1), (328, 1), (506, 1), (678, 1), (1477, 1), (1824, 1), (1901, 1), (2077, 1), (2849, 1), (3132, 1), (5250, 1), (5251, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 2), (21, 2), (22, 4), (25, 1), (30, 1), (31, 1), (45, 2), (50, 1), (53, 4), (54, 2), (55, 1), (77, 1), (90, 1), (97, 1), (109, 1), (166, 1), (173, 3), (193, 1), (215, 2), (229, 1), (325, 1), (328, 1), (399, 1), (448, 1), (459, 1), (645, 1), (697, 2), (903, 1), (947, 1), (976, 1), (1102, 1), (1115, 1), (1240, 1), (1277, 1), (1308, 1), (1377, 1), (1403, 1), (1587, 1), (1615, 1), (1723, 1), (1824, 1), (2029, 1), (2206, 1), (2207, 1), (2847, 1), (3522, 1), (4439, 1), (5252, 1), (5253, 1), (5254, 1), (5255, 1), (5256, 1), (5257, 1)], [(8, 1), (18, 2), (22, 1), (50, 1), (54, 2), (90, 1), (173, 1), (185, 1), (215, 1), (268, 1), (328, 1), (347, 1), (387, 1), (597, 1), (744, 1), (812, 1), (1102, 1), (1874, 1), (2030, 1), (2241, 1), (3641, 1), (5258, 1)], [(8, 1), (19, 1), (20, 3), (50, 1), (71, 2), (82, 1), (94, 1), (111, 1), (293, 2), (301, 1), (419, 1), (672, 1), (743, 1), (1499, 1), (1703, 1), (1893, 1), (5259, 1), (5260, 1)], [(18, 2), (20, 3), (23, 2), (45, 1), (51, 1), (53, 1), (64, 1), (66, 1), (85, 1), (90, 2), (108, 1), (111, 1), (172, 1), (173, 1), (203, 1), (215, 1), (241, 1), (516, 1), (645, 1), (744, 2), (809, 1), (1377, 1), (1627, 1), (2282, 1), (2716, 1), (5148, 1), (5261, 1), (5262, 1), (5263, 1), (5264, 1)], [(8, 1), (19, 2), (20, 5), (22, 4), (23, 2), (25, 2), (31, 4), (32, 1), (50, 1), (53, 5), (58, 1), (71, 2), (90, 2), (193, 1), (209, 1), (225, 1), (281, 1), (328, 1), (337, 1), (420, 1), (434, 1), (654, 1), (763, 1), (897, 1), (999, 1), (1010, 1), (1041, 1), (1122, 1), (1188, 1), (1227, 1), (1308, 1), (1590, 1), (1643, 1), (1689, 1), (1883, 1), (2304, 1), (2366, 1), (2600, 1), (2743, 1), (2847, 1), (2911, 1), (2917, 1), (3107, 1), (3773, 1), (3978, 1), (4592, 1), (5177, 1), (5265, 1), (5266, 1), (5267, 1), (5268, 1), (5269, 1), (5270, 1), (5271, 1), (5272, 1), (5273, 1), (5274, 1)], [(8, 1), (18, 1), (23, 1), (31, 1), (506, 1), (3331, 1), (4443, 1)], [(8, 1), (25, 1), (29, 1), (53, 1), (56, 1), (75, 1), (124, 1), (305, 1), (326, 1), (459, 1), (1165, 1), (1580, 1), (2406, 1), (5275, 1), (5276, 1)], [(8, 1), (58, 1), (106, 1), (347, 1), (2712, 1), (5277, 1), (5278, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (31, 1), (45, 1), (97, 1), (173, 1), (268, 1), (328, 1), (351, 1), (452, 1), (723, 1), (1227, 1), (3813, 1), (5052, 1), (5238, 1), (5279, 1), (5280, 1), (5281, 1), (5282, 1)], [(8, 1), (18, 1), (19, 2), (22, 2), (23, 1), (30, 1), (34, 1), (50, 1), (54, 1), (173, 1), (262, 1), (433, 1), (452, 1), (1149, 1), (1668, 1), (1824, 1), (2099, 1), (2164, 1), (2911, 1), (5283, 1), (5284, 1)], [(8, 1), (20, 1), (53, 1), (83, 1), (90, 2), (172, 1), (285, 1), (331, 1), (407, 1), (452, 1), (459, 1), (487, 1), (506, 1), (711, 1), (834, 1), (922, 1), (1820, 1), (3791, 1), (5285, 1), (5286, 1)], [(8, 1), (18, 1), (20, 2), (23, 2), (117, 1), (225, 1), (236, 1), (256, 1), (605, 1), (815, 1), (1164, 1), (1797, 1), (2362, 1), (2854, 1), (3560, 1), (5287, 1), (5288, 1), (5289, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 2), (30, 2), (55, 1), (353, 1), (448, 1), (454, 1), (707, 1), (1580, 2), (2177, 1), (2230, 1), (2271, 1), (2539, 1), (2857, 1), (3791, 1), (3812, 1), (5290, 1)], [(8, 1), (19, 3), (20, 2), (22, 1), (45, 1), (71, 1), (85, 1), (117, 1), (173, 2), (206, 1), (232, 1), (256, 1), (281, 1), (353, 1), (419, 1), (459, 1), (490, 1), (506, 1), (763, 1), (884, 1), (1224, 1), (1458, 1), (1580, 1), (2344, 1), (2359, 1), (2367, 1), (3147, 1), (3434, 1), (4979, 1), (4987, 1), (5246, 1), (5291, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 2), (30, 1), (173, 1), (236, 1), (772, 1), (884, 1), (1499, 1), (2242, 1), (2304, 1), (3162, 1), (5292, 1), (5293, 1)], [(8, 1), (19, 2), (20, 2), (23, 1), (25, 2), (30, 1), (31, 1), (50, 2), (53, 5), (58, 1), (90, 1), (164, 1), (329, 1), (459, 1), (751, 1), (777, 1), (897, 1), (1520, 1), (1875, 1), (2196, 1), (2406, 1), (2597, 1), (3675, 1), (5294, 1), (5295, 1)], [(8, 1), (19, 2), (22, 1), (23, 1), (25, 1), (31, 1), (45, 1), (53, 2), (71, 1), (90, 1), (109, 1), (166, 1), (182, 1), (185, 1), (410, 1), (419, 2), (454, 1), (1238, 1), (1391, 1), (1627, 1), (1691, 1), (2148, 1), (2164, 1), (2240, 1), (2348, 1), (3731, 1), (4789, 1), (5296, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (23, 1), (25, 2), (45, 1), (173, 1), (506, 1), (979, 1), (1638, 1), (1801, 1), (2186, 1), (3440, 1), (4580, 1), (5297, 1), (5298, 1), (5299, 1), (5300, 1)], [(8, 1), (20, 1), (25, 1), (45, 1), (50, 1), (58, 1), (90, 1), (109, 1), (331, 1), (419, 1), (434, 1), (897, 1), (1044, 1), (1227, 1), (2036, 1), (2168, 1), (3435, 1), (3655, 1), (5224, 1), (5301, 1), (5302, 1)], [(8, 1), (20, 4), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (85, 1), (117, 1), (161, 1), (185, 1), (232, 1), (328, 1), (347, 1), (419, 1), (433, 1), (434, 1), (506, 1), (558, 1), (869, 1), (1627, 1), (1656, 1), (1801, 1), (1824, 1), (2322, 1), (2475, 1), (5203, 1), (5238, 1), (5282, 1), (5303, 1), (5304, 1), (5305, 1)], [(8, 1), (19, 3), (20, 6), (22, 3), (23, 1), (25, 3), (30, 1), (31, 1), (36, 1), (45, 2), (53, 1), (54, 1), (71, 1), (84, 1), (88, 1), (90, 2), (108, 1), (117, 1), (173, 2), (215, 2), (232, 1), (233, 1), (285, 1), (305, 1), (311, 1), (419, 2), (420, 1), (445, 1), (459, 2), (504, 1), (506, 3), (743, 1), (777, 1), (903, 1), (1122, 1), (1801, 1), (1875, 1), (1929, 1), (2495, 1), (2831, 1), (4839, 1), (5075, 1), (5161, 1), (5306, 1), (5307, 1), (5308, 1), (5309, 1), (5310, 1), (5311, 1), (5312, 1), (5313, 1), (5314, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (31, 1), (50, 1), (51, 1), (71, 1), (82, 1), (172, 1), (185, 2), (256, 1), (278, 1), (285, 2), (289, 1), (359, 1), (387, 1), (834, 1), (903, 1), (1348, 1), (1961, 1), (2712, 1), (3533, 1), (3594, 1), (5315, 1), (5316, 1), (5317, 1), (5318, 1), (5319, 1), (5320, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (84, 1), (329, 1), (419, 1), (1801, 1), (2186, 1), (2265, 1), (2348, 1), (2743, 1), (2852, 1), (3359, 1), (5321, 1)], [(8, 1), (18, 1), (20, 5), (22, 2), (25, 3), (31, 1), (36, 1), (45, 2), (50, 2), (53, 2), (54, 1), (58, 1), (85, 2), (91, 3), (233, 1), (269, 1), (353, 1), (414, 1), (418, 1), (428, 1), (433, 1), (448, 1), (506, 2), (607, 1), (706, 1), (897, 1), (947, 1), (1259, 1), (1487, 1), (1855, 1), (2354, 1), (2393, 1), (2495, 1), (2766, 1), (3441, 1), (3504, 1), (3588, 2), (3791, 1), (4296, 1), (5322, 1), (5323, 1), (5324, 1), (5325, 1), (5326, 1), (5327, 1)], [(7, 1), (8, 1), (19, 1), (22, 1), (23, 1), (54, 1), (91, 1), (117, 1), (173, 1), (256, 1), (428, 1), (506, 1), (1580, 1), (1764, 1), (3500, 1), (3837, 1), (5328, 1), (5329, 1), (5330, 1)], [(8, 1), (23, 1), (91, 1), (498, 1), (5331, 1)], [(8, 1), (20, 2), (25, 1), (36, 1), (45, 2), (53, 1), (85, 1), (410, 1), (897, 1), (2348, 1), (2354, 1), (2917, 1), (3314, 1), (3509, 1), (4450, 1), (4661, 1), (5332, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (23, 3), (25, 1), (30, 1), (31, 1), (54, 1), (96, 1), (108, 1), (111, 1), (173, 2), (195, 1), (236, 1), (240, 1), (256, 1), (285, 1), (490, 1), (506, 2), (526, 1), (639, 1), (903, 1), (1416, 1), (2018, 1), (2280, 1), (3255, 1), (3523, 1), (3579, 1), (3812, 1), (5333, 1), (5334, 1), (5335, 1), (5336, 1)], [(8, 1), (18, 1), (22, 1), (23, 1), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (559, 1), (1164, 1), (2178, 1), (5306, 1), (5337, 1), (5338, 1), (5339, 1), (5340, 1)], [(23, 1), (31, 1), (45, 1), (50, 1), (55, 1), (166, 1), (185, 1), (897, 1), (924, 1), (1347, 1), (1714, 1), (1743, 1), (2168, 1), (3879, 1), (5341, 1), (5342, 1)], [(77, 1), (96, 1), (301, 1), (1714, 1), (5343, 1)], [(8, 1), (23, 1), (236, 1)], [(20, 2), (21, 2), (25, 2), (32, 1), (37, 1), (50, 3), (53, 1), (71, 1), (90, 1), (99, 1), (168, 1), (332, 1), (531, 1), (581, 1), (924, 1), (1001, 1), (1336, 1), (1430, 1), (1593, 1), (1714, 1), (1733, 1), (2401, 1), (2442, 1), (4357, 1), (5344, 1), (5345, 1), (5346, 1), (5347, 1)], [(247, 1), (5348, 1)], [(8, 1), (19, 1), (21, 1), (50, 1), (53, 1), (77, 2), (96, 1), (190, 1), (301, 1), (332, 1), (1683, 1), (1685, 1), (2654, 1), (5343, 2)], [(8, 1), (19, 4), (21, 1), (23, 1), (50, 2), (53, 2), (77, 2), (96, 2), (172, 1), (190, 2), (285, 1), (331, 1), (332, 2), (506, 1), (645, 2), (1180, 2), (1580, 2), (1683, 1), (1685, 2), (2654, 1)], [(8, 1), (20, 1), (77, 1), (346, 1), (645, 1), (1180, 1), (1580, 1), (3614, 1)], [(19, 1), (23, 1), (90, 1), (96, 1), (185, 1), (285, 1), (331, 1), (506, 1), (1177, 1), (1685, 2), (1714, 1), (3614, 1)], [(8, 1), (20, 1), (31, 1), (50, 1), (55, 1), (506, 1), (1080, 1), (1580, 1), (1597, 1), (1743, 1), (1845, 1), (5338, 1), (5343, 1)], [(8, 1), (20, 2), (22, 1), (23, 2), (30, 1), (31, 1), (45, 1), (55, 1), (203, 2), (897, 1), (990, 1), (1743, 1), (5341, 1), (5349, 1), (5350, 1)], [(8, 1), (19, 1), (20, 2), (22, 5), (23, 1), (25, 3), (30, 2), (37, 1), (45, 1), (53, 3), (55, 2), (56, 1), (84, 1), (90, 1), (111, 1), (186, 1), (193, 1), (229, 1), (241, 1), (307, 1), (419, 1), (884, 1), (2159, 1), (2348, 1), (2443, 1), (2471, 1), (3098, 1), (3181, 1), (3370, 1), (3509, 1), (3530, 1), (3535, 1), (3614, 1), (4580, 1), (4746, 1), (4825, 1), (5176, 1), (5351, 1), (5352, 1), (5353, 1), (5354, 1), (5355, 1), (5356, 1)], [(8, 1), (19, 1), (82, 1), (287, 1), (301, 1), (419, 1), (448, 1), (654, 1), (792, 1), (884, 1), (1799, 1), (5321, 1)], [(8, 1), (18, 1), (22, 1), (23, 1), (58, 1), (77, 2), (82, 1), (108, 1), (256, 1), (268, 1), (311, 1), (328, 1), (516, 1), (1347, 1), (2036, 1), (2184, 1), (2471, 1), (3034, 1), (3204, 1), (5357, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 3), (50, 1), (51, 2), (53, 1), (273, 1), (328, 1), (415, 1), (430, 1), (448, 1), (450, 1), (452, 1), (694, 1), (711, 1), (777, 1), (1057, 1), (1129, 1), (1241, 1), (2744, 1), (2795, 1), (2926, 1), (3649, 1), (3756, 1), (5321, 1), (5358, 1), (5359, 1), (5360, 1)], [(8, 1), (18, 1), (20, 4), (21, 1), (23, 1), (25, 1), (31, 1), (84, 1), (117, 1), (313, 1), (897, 1), (1171, 1), (2324, 1), (3614, 1), (3647, 1), (4789, 1), (5361, 1), (5362, 1)], [(1544, 1), (5363, 1)], [(8, 1), (5364, 1)], [(7, 1), (8, 1), (20, 8), (22, 2), (25, 7), (31, 2), (32, 1), (45, 1), (50, 1), (53, 1), (54, 1), (65, 1), (84, 1), (91, 1), (96, 1), (186, 1), (193, 2), (253, 1), (293, 1), (310, 1), (347, 1), (361, 1), (419, 2), (420, 1), (434, 1), (448, 1), (459, 1), (516, 1), (626, 1), (697, 1), (751, 1), (777, 1), (884, 1), (897, 2), (1081, 1), (1102, 1), (1277, 1), (1458, 1), (1485, 1), (1519, 1), (1766, 1), (1820, 1), (1824, 1), (2126, 1), (2197, 1), (2344, 1), (2471, 1), (2495, 1), (2609, 1), (3001, 1), (3061, 1), (3189, 1), (3331, 1), (3412, 1), (3542, 1), (3614, 1), (4056, 1), (5169, 1), (5365, 1), (5366, 1), (5367, 1), (5368, 1), (5369, 1), (5370, 1), (5371, 1), (5372, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 2), (25, 3), (53, 2), (55, 1), (65, 2), (84, 4), (90, 1), (91, 1), (186, 2), (215, 1), (240, 1), (265, 1), (289, 1), (293, 2), (305, 1), (329, 1), (404, 1), (418, 1), (419, 2), (434, 1), (452, 1), (459, 1), (504, 1), (688, 1), (706, 1), (777, 1), (884, 2), (894, 1), (1255, 1), (1363, 1), (1694, 1), (1778, 1), (1887, 1), (2099, 1), (2212, 1), (2266, 1), (2397, 1), (2911, 1), (3623, 1), (5373, 1), (5374, 1), (5375, 1), (5376, 1), (5377, 1), (5378, 1), (5379, 1), (5380, 1), (5381, 1), (5382, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 2), (53, 2), (54, 2), (58, 1), (65, 1), (85, 2), (90, 1), (124, 1), (268, 1), (278, 1), (293, 2), (328, 1), (452, 1), (605, 1), (751, 1), (999, 1), (2471, 1), (2472, 1), (2743, 1), (2785, 1), (3085, 1), (3140, 1), (3265, 1), (3331, 1), (3623, 1), (5383, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (23, 1), (24, 1), (31, 1), (50, 1), (56, 1), (58, 1), (71, 1), (77, 3), (82, 1), (90, 1), (96, 1), (99, 1), (108, 1), (124, 1), (185, 1), (203, 1), (268, 1), (273, 1), (293, 1), (328, 1), (448, 1), (1596, 1), (1877, 1), (1908, 1), (2275, 1), (2625, 1), (3002, 1), (3121, 1), (5384, 1), (5385, 1), (5386, 1), (5387, 1)], [(8, 1), (31, 1), (1392, 1), (1722, 1), (5388, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (37, 1), (71, 2), (90, 1), (99, 3), (124, 1), (161, 1), (172, 1), (174, 1), (214, 1), (217, 1), (233, 1), (293, 1), (777, 1), (869, 1), (897, 1), (1072, 1), (1342, 1), (1865, 1), (3299, 2), (5389, 1)], [(8, 1), (20, 5), (25, 2), (31, 2), (50, 2), (53, 4), (71, 1), (99, 1), (111, 1), (262, 1), (282, 1), (301, 1), (324, 2), (407, 1), (504, 1), (506, 1), (516, 1), (706, 1), (897, 1), (1909, 1), (2149, 1), (2471, 1), (2785, 1), (3614, 1), (3750, 1), (3947, 1), (5176, 1), (5390, 1), (5391, 1), (5392, 1), (5393, 1), (5394, 1)], [(8, 1), (18, 2), (20, 1), (50, 2), (53, 2), (55, 1), (71, 1), (77, 1), (97, 1), (185, 1), (269, 1), (286, 1), (743, 1), (812, 1), (999, 1), (2197, 1), (2994, 1), (3046, 1), (3295, 1), (5395, 1), (5396, 1), (5397, 1)], [(8, 1), (19, 1), (25, 2), (50, 3), (53, 4), (77, 1), (99, 1), (172, 1), (185, 1), (256, 1), (286, 1), (324, 1), (527, 1), (813, 1), (1010, 1), (2036, 1), (2275, 1), (2830, 1), (2998, 1), (3731, 1), (5160, 1), (5398, 1)], [(8, 1), (29, 1), (31, 1), (50, 1), (53, 2), (99, 1), (269, 1), (282, 1), (328, 1), (516, 1), (531, 1), (694, 1), (2157, 1), (5399, 1), (5400, 1), (5401, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (23, 3), (25, 1), (31, 3), (37, 1), (50, 2), (53, 2), (108, 2), (111, 2), (124, 1), (172, 1), (185, 1), (193, 1), (217, 1), (236, 1), (261, 2), (285, 1), (347, 1), (361, 1), (420, 2), (430, 1), (448, 1), (490, 2), (697, 1), (751, 1), (776, 1), (827, 1), (902, 1), (1224, 1), (1305, 1), (1342, 1), (1580, 2), (2029, 1), (2036, 1), (2397, 1), (2471, 1), (3655, 1), (3694, 1), (3723, 1), (4940, 1), (5398, 1), (5402, 1), (5403, 1), (5404, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (40, 1), (45, 2), (50, 1), (53, 1), (71, 2), (84, 2), (124, 1), (215, 1), (229, 1), (261, 1), (262, 1), (268, 1), (459, 1), (504, 1), (581, 1), (645, 1), (1077, 1), (1102, 1), (1596, 1), (2283, 1), (2365, 1), (2785, 1), (3923, 1), (4576, 1), (4699, 1), (5405, 1), (5406, 1), (5407, 1), (5408, 1), (5409, 1), (5410, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 3), (50, 2), (53, 2), (65, 4), (85, 1), (117, 1), (193, 1), (229, 1), (261, 1), (309, 1), (333, 1), (428, 1), (714, 1), (897, 1), (985, 1), (1005, 1), (1224, 1), (1580, 2), (2283, 1), (2286, 1), (2475, 1), (2816, 1), (3026, 1), (3731, 1), (3758, 1), (4602, 1), (5193, 1), (5411, 1), (5412, 1), (5413, 1), (5414, 1)], [(8, 1), (18, 3), (19, 3), (20, 1), (22, 1), (23, 1), (25, 1), (37, 1), (45, 1), (53, 1), (58, 1), (90, 2), (109, 2), (172, 1), (173, 1), (193, 1), (276, 1), (293, 1), (327, 1), (372, 1), (419, 1), (454, 1), (459, 2), (792, 1), (1270, 1), (1449, 1), (1499, 1), (1520, 1), (2365, 1), (2453, 1), (3043, 1), (3140, 1), (3331, 1), (3614, 1), (3723, 1), (4455, 1), (5248, 1), (5302, 1), (5415, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (23, 1), (31, 1), (34, 1), (45, 1), (53, 2), (58, 1), (84, 1), (90, 1), (91, 1), (233, 1), (265, 1), (276, 1), (288, 1), (307, 1), (347, 1), (420, 1), (744, 1), (776, 1), (1102, 1), (1161, 1), (1224, 1), (1824, 1), (2471, 1), (2775, 1), (2948, 1), (3036, 1), (3139, 1), (3331, 1), (3634, 1), (5416, 1), (5417, 1), (5418, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (23, 1), (31, 1), (32, 1), (50, 1), (71, 1), (172, 1), (173, 1), (260, 1), (263, 1), (286, 1), (506, 1), (527, 1), (744, 1), (833, 1), (897, 1), (903, 1), (1013, 1), (1296, 1), (1877, 1), (2471, 1), (2845, 1), (3614, 1), (3634, 1), (5419, 1), (5420, 1)], [(8, 1), (23, 1), (50, 1), (53, 1), (108, 1), (117, 1), (124, 1), (232, 1), (268, 1), (2824, 1), (2987, 1), (3331, 1), (5421, 1), (5422, 1), (5423, 1)], [(8, 1), (18, 3), (19, 1), (23, 1), (25, 1), (50, 1), (53, 1), (54, 1), (55, 1), (1044, 1), (1308, 1), (2830, 1), (2834, 1), (3204, 1), (3506, 1), (3760, 1), (5288, 1), (5424, 1), (5425, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (32, 1), (50, 2), (53, 4), (65, 1), (84, 2), (109, 1), (269, 1), (328, 1), (410, 1), (415, 1), (419, 1), (434, 1), (727, 1), (777, 1), (1057, 1), (1068, 1), (1467, 1), (1557, 1), (1801, 1), (1806, 1), (2019, 1), (2099, 1), (2885, 1), (2947, 1), (3533, 1), (3536, 1), (3730, 1), (4387, 1), (5415, 1), (5426, 1), (5427, 1), (5428, 1)], [(8, 1), (19, 3), (20, 4), (22, 1), (23, 2), (25, 2), (30, 1), (32, 1), (45, 2), (50, 1), (53, 1), (54, 1), (58, 2), (82, 1), (90, 1), (173, 1), (185, 1), (256, 1), (287, 1), (414, 1), (809, 1), (1324, 1), (1348, 1), (1365, 1), (1807, 1), (2145, 1), (2163, 1), (2712, 1), (3034, 1), (3371, 1), (3389, 1), (3866, 1), (4435, 1), (4988, 1), (5428, 1), (5429, 1), (5430, 1), (5431, 1)], [(8, 1), (36, 1), (3637, 1), (5075, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 3), (31, 1), (32, 1), (45, 2), (50, 1), (53, 3), (55, 1), (58, 1), (82, 1), (124, 1), (175, 1), (193, 1), (215, 1), (256, 1), (347, 1), (420, 1), (506, 1), (691, 1), (744, 1), (830, 1), (1342, 1), (1520, 1), (1824, 1), (1884, 1), (1990, 1), (2117, 1), (2436, 1), (2716, 1), (2985, 1), (2986, 1), (3525, 1), (3598, 1), (3727, 1), (4296, 1), (5357, 1), (5432, 1), (5433, 1), (5434, 1), (5435, 1)], [(1544, 1), (5436, 1)], [(8, 1), (5437, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (50, 1), (53, 1), (54, 1), (531, 1), (1324, 1), (1348, 1), (1365, 1), (1457, 1), (3342, 1), (3614, 1), (5429, 1), (5438, 1)], [(8, 1), (22, 1), (31, 1), (77, 1), (82, 1), (94, 1), (122, 1), (161, 1), (214, 1), (310, 1), (812, 1), (3537, 1), (5439, 1)], [(7, 1), (8, 1), (18, 5), (19, 1), (20, 4), (22, 1), (31, 2), (34, 1), (45, 1), (50, 1), (53, 1), (65, 1), (111, 1), (117, 1), (124, 1), (173, 1), (215, 1), (232, 1), (260, 1), (276, 1), (410, 1), (418, 1), (459, 1), (504, 1), (833, 1), (897, 1), (1131, 1), (1467, 1), (1628, 1), (1814, 1), (1901, 1), (2168, 1), (2351, 1), (2594, 1), (2690, 1), (2712, 1), (3013, 1), (3480, 1), (3614, 1), (5248, 1), (5282, 1), (5429, 1), (5440, 1), (5441, 1), (5442, 1), (5443, 1), (5444, 1), (5445, 1), (5446, 1), (5447, 1)], [(8, 1), (18, 3), (20, 1), (22, 2), (25, 1), (45, 1), (50, 1), (53, 2), (54, 1), (173, 1), (323, 1), (414, 1), (459, 1), (632, 1), (1582, 1), (2150, 1), (3000, 1), (4224, 1), (5448, 2), (5449, 1), (5450, 1), (5451, 1), (5452, 1), (5453, 1), (5454, 1), (5455, 1), (5456, 1)], [(7, 1), (8, 1), (20, 2), (21, 1), (22, 1), (23, 1), (31, 2), (45, 2), (53, 1), (54, 1), (173, 1), (320, 1), (351, 1), (739, 1), (1021, 1), (1102, 1), (1854, 1), (2706, 1), (3924, 1), (4422, 1), (5211, 1), (5457, 1), (5458, 1), (5459, 1), (5460, 1), (5461, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (45, 1), (117, 1), (126, 1), (232, 1), (453, 1), (709, 1), (1043, 1), (1164, 1), (2825, 1), (3614, 1), (5452, 1), (5462, 1), (5463, 1), (5464, 1), (5465, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (37, 1), (45, 2), (50, 1), (53, 2), (82, 1), (117, 1), (166, 1), (232, 1), (263, 1), (301, 1), (709, 1), (1159, 1), (1498, 1), (1582, 1), (2820, 1), (3105, 1), (5452, 1), (5466, 1), (5467, 1), (5468, 1), (5469, 1)], [(8, 1), (18, 1), (301, 1), (3614, 1), (5470, 1), (5471, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 1), (45, 1), (53, 2), (92, 1), (97, 1), (173, 2), (203, 1), (420, 1), (708, 1), (709, 1), (1322, 1), (1365, 1), (1644, 1), (1807, 1), (4778, 1), (5472, 1), (5473, 1), (5474, 1), (5475, 1), (5476, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (50, 1), (53, 2), (54, 1), (55, 1), (85, 1), (90, 1), (93, 1), (269, 1), (405, 1), (414, 1), (415, 1), (428, 1), (632, 1), (680, 1), (1054, 1), (1549, 1), (1649, 1), (2366, 1), (4387, 1), (5477, 1), (5478, 1), (5479, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 9), (22, 5), (25, 4), (31, 3), (45, 3), (50, 1), (53, 4), (54, 1), (55, 2), (58, 1), (65, 1), (75, 1), (82, 1), (85, 1), (173, 2), (186, 1), (193, 1), (206, 1), (263, 1), (269, 1), (281, 1), (287, 1), (310, 1), (328, 1), (399, 1), (406, 1), (420, 1), (498, 1), (516, 1), (632, 1), (709, 1), (710, 1), (1041, 1), (1102, 1), (1159, 1), (1227, 1), (1377, 1), (1700, 1), (1702, 1), (2064, 1), (2291, 1), (2318, 1), (2366, 1), (2609, 1), (2966, 1), (3025, 1), (3123, 1), (3921, 1), (4557, 1), (4956, 1), (5473, 2), (5479, 1), (5480, 1), (5481, 1), (5482, 1), (5483, 1), (5484, 1), (5485, 1), (5486, 1), (5487, 1), (5488, 1), (5489, 1), (5490, 1), (5491, 1), (5492, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 2), (25, 1), (30, 1), (45, 1), (50, 1), (53, 2), (54, 1), (82, 1), (359, 1), (777, 1), (1325, 1), (1558, 1), (1582, 1), (1823, 1), (3614, 2), (4251, 1), (4670, 1), (5493, 1), (5494, 1), (5495, 1), (5496, 1), (5497, 1), (5498, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 2), (30, 1), (45, 2), (53, 1), (173, 1), (193, 2), (601, 1), (772, 1), (885, 1), (1325, 1), (1377, 1), (1587, 1), (1834, 1), (2168, 1), (2344, 1), (5248, 1), (5440, 1), (5499, 1), (5500, 1), (5501, 1), (5502, 1)], [(8, 1), (20, 1), (21, 1), (50, 1), (53, 1), (117, 1), (185, 2), (232, 1), (301, 1), (365, 1), (726, 1), (812, 1), (1904, 1), (2235, 1), (2241, 1), (2712, 1), (4729, 1), (5503, 1), (5504, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (30, 2), (50, 1), (53, 1), (310, 1), (353, 1), (399, 1), (530, 1), (2076, 1), (2140, 1), (3413, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (45, 1), (50, 2), (53, 2), (173, 1), (268, 1), (301, 1), (504, 1), (516, 1), (601, 1), (1723, 1), (2421, 1), (2554, 1), (3031, 1), (3227, 1), (3614, 1), (4034, 1), (4074, 1), (4619, 1), (5459, 1), (5505, 1), (5506, 1), (5507, 1), (5508, 1), (5509, 1), (5510, 1), (5511, 1), (5512, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 2), (21, 2), (22, 1), (25, 1), (45, 1), (53, 2), (54, 1), (90, 1), (124, 1), (173, 2), (193, 1), (286, 1), (293, 1), (399, 1), (459, 2), (506, 1), (711, 2), (772, 1), (833, 3), (885, 1), (1115, 1), (1296, 1), (1702, 2), (2795, 1), (3550, 1), (3986, 1), (5028, 1), (5248, 1), (5513, 1), (5514, 1), (5515, 1), (5516, 1)], [(20, 1), (247, 1), (301, 1), (2637, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (30, 1), (37, 1), (45, 1), (50, 1), (53, 1), (71, 1), (90, 1), (117, 1), (124, 1), (166, 1), (232, 1), (260, 1), (293, 1), (833, 1), (1471, 1), (1627, 1), (2326, 1), (2479, 1), (3488, 1), (4922, 1), (5452, 1), (5513, 1), (5517, 1), (5518, 1), (5519, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (25, 3), (31, 2), (51, 1), (53, 1), (58, 1), (90, 1), (96, 1), (108, 1), (178, 1), (186, 1), (193, 1), (288, 1), (328, 1), (414, 1), (441, 1), (450, 1), (482, 1), (711, 1), (792, 1), (897, 1), (1361, 1), (1764, 1), (2076, 1), (2184, 1), (2344, 1), (3140, 2), (3352, 1), (3583, 1), (3614, 1), (5462, 1), (5463, 1), (5520, 1), (5521, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (31, 1), (37, 1), (56, 1), (58, 1), (117, 2), (173, 1), (232, 1), (2806, 1), (2854, 1), (3560, 1), (4922, 1), (5161, 1), (5522, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (29, 1), (51, 1), (173, 1), (193, 1), (206, 1), (331, 1), (399, 1), (450, 2), (531, 1), (1820, 1), (1824, 1), (2539, 1), (3333, 1), (3623, 1), (5341, 1), (5513, 1), (5523, 1), (5524, 1), (5525, 1)], [(8, 1), (20, 1), (30, 1), (32, 1), (52, 1), (53, 1), (109, 1), (410, 1), (448, 1), (1102, 1), (1342, 1), (1587, 1), (3831, 1), (5526, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (23, 1), (25, 3), (30, 1), (32, 1), (45, 1), (51, 1), (53, 1), (82, 1), (170, 1), (173, 3), (193, 1), (452, 1), (490, 1), (601, 1), (605, 1), (626, 1), (639, 1), (792, 1), (827, 1), (893, 1), (1498, 1), (1764, 1), (2344, 1), (4697, 1), (5290, 1), (5452, 1), (5527, 1), (5528, 1), (5529, 1), (5530, 1), (5531, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (30, 2), (36, 1), (50, 1), (53, 1), (54, 1), (82, 1), (90, 1), (108, 1), (111, 1), (173, 1), (268, 1), (307, 1), (347, 1), (607, 1), (1169, 1), (1824, 1), (1964, 1), (2067, 1), (2828, 1), (3042, 1), (3560, 1), (4472, 1), (5513, 1), (5532, 1), (5533, 1), (5534, 1), (5535, 1), (5536, 1)], [(7, 2), (8, 1), (20, 2), (25, 1), (173, 3), (215, 2), (233, 1), (285, 1), (301, 1), (1377, 1), (1458, 1), (1521, 1), (1627, 1), (1932, 1), (3331, 1), (5537, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (37, 1), (45, 1), (53, 1), (173, 1), (201, 1), (286, 1), (404, 1), (410, 1), (752, 1), (1886, 1), (2168, 1), (5299, 1), (5538, 1), (5539, 1), (5540, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (30, 1), (31, 1), (32, 1), (50, 2), (54, 1), (90, 1), (347, 1), (353, 1), (530, 1), (981, 1), (1578, 1), (2734, 1), (3322, 1), (5541, 1)], [(8, 1), (20, 1), (23, 1), (30, 1), (45, 2), (71, 1), (96, 1), (237, 1), (601, 1), (2196, 1), (3117, 1), (5367, 1), (5527, 1), (5542, 1)], [(8, 1), (19, 2), (20, 2), (31, 1), (36, 1), (45, 1), (51, 1), (287, 1), (365, 1), (1169, 1), (1458, 1), (5543, 1)], [(8, 1), (19, 2), (20, 3), (23, 1), (25, 1), (30, 2), (50, 2), (53, 1), (54, 1), (85, 1), (90, 1), (108, 1), (109, 1), (185, 1), (215, 1), (229, 1), (407, 1), (531, 1), (752, 1), (772, 1), (794, 1), (827, 1), (1361, 1), (1580, 2), (2096, 1), (2231, 1), (2255, 1), (2272, 1), (2665, 1), (2816, 1), (3413, 1), (5544, 1), (5545, 1)], [(8, 1), (19, 3), (20, 6), (22, 1), (31, 2), (36, 1), (45, 1), (50, 1), (53, 5), (55, 2), (90, 1), (193, 1), (197, 1), (373, 1), (428, 2), (488, 1), (506, 2), (709, 1), (776, 1), (922, 4), (1354, 1), (1365, 1), (1485, 1), (1580, 2), (1615, 1), (2343, 1), (2479, 2), (2919, 1), (3482, 1), (4724, 1), (5546, 1), (5547, 1), (5548, 1), (5549, 1), (5550, 1), (5551, 1), (5552, 1)], [(8, 1), (19, 3), (20, 8), (22, 1), (23, 2), (25, 1), (32, 1), (37, 1), (46, 1), (50, 3), (53, 3), (54, 2), (55, 1), (71, 1), (82, 1), (108, 2), (166, 1), (173, 1), (185, 1), (215, 2), (240, 1), (269, 1), (323, 1), (334, 1), (365, 1), (372, 1), (506, 1), (516, 1), (531, 1), (553, 1), (744, 1), (861, 1), (1102, 1), (1578, 1), (2089, 1), (2096, 1), (2820, 1), (3331, 1), (3614, 1), (3758, 1), (4823, 1), (5236, 1), (5553, 1), (5554, 1), (5555, 1), (5556, 1), (5557, 1), (5558, 1)], [(8, 1), (20, 6), (25, 3), (45, 2), (53, 1), (55, 1), (85, 1), (90, 1), (109, 1), (117, 1), (185, 1), (232, 1), (305, 1), (415, 1), (419, 1), (452, 1), (459, 1), (506, 1), (697, 1), (777, 1), (827, 1), (1044, 1), (1129, 1), (1627, 1), (1884, 1), (2163, 1), (2344, 1), (2365, 1), (2458, 1), (2495, 1), (2831, 1), (2994, 1), (3000, 1), (3364, 1), (3614, 1), (5300, 1), (5312, 1), (5559, 1), (5560, 1)], [(1319, 1), (1544, 1)], [(8, 1), (5561, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (23, 1), (25, 1), (50, 1), (53, 1), (108, 1), (117, 2), (201, 1), (229, 1), (232, 2), (337, 1), (706, 1), (1580, 2), (1595, 1), (2107, 1), (2220, 1), (2926, 1), (3015, 2), (3504, 1), (3898, 1), (5562, 1), (5563, 1), (5564, 1), (5565, 1), (5566, 1)], [(8, 1), (20, 2), (21, 1), (23, 1), (24, 1), (25, 2), (30, 1), (32, 1), (53, 3), (55, 1), (97, 1), (117, 1), (186, 1), (193, 1), (215, 3), (232, 1), (240, 1), (283, 1), (289, 1), (293, 1), (347, 2), (410, 1), (452, 1), (506, 2), (903, 1), (1613, 1), (2036, 1), (2236, 1), (2419, 1), (2421, 1), (2824, 1), (3088, 1), (3138, 1), (3148, 1), (3157, 1), (3210, 1), (3330, 1), (3501, 1), (3594, 1), (3614, 1), (4954, 1), (5318, 1), (5567, 1), (5568, 1), (5569, 1), (5570, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 3), (53, 3), (64, 1), (65, 1), (84, 1), (117, 1), (178, 1), (193, 1), (227, 1), (229, 1), (232, 1), (310, 1), (419, 1), (487, 1), (751, 1), (884, 1), (1163, 1), (1324, 1), (1361, 1), (1580, 1), (2208, 1), (2209, 1), (2227, 1), (2348, 1), (2552, 1), (3048, 1), (3614, 1), (4109, 1), (4512, 1), (4728, 1), (5571, 1), (5572, 1), (5573, 1), (5574, 1), (5575, 1)], [(8, 1), (19, 1), (21, 1), (22, 1), (25, 1), (30, 2), (31, 1), (53, 1), (82, 1), (108, 1), (193, 2), (209, 1), (256, 1), (281, 1), (289, 1), (293, 1), (419, 1), (450, 1), (459, 2), (506, 1), (516, 1), (711, 1), (744, 1), (1115, 1), (1657, 1), (1764, 1), (1932, 1), (2187, 1), (2543, 1), (2839, 1), (3140, 2), (3204, 1), (3410, 1), (3614, 1), (5576, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (25, 2), (32, 1), (45, 1), (53, 2), (82, 1), (91, 1), (301, 1), (414, 1), (419, 1), (897, 1), (1764, 1), (2259, 1), (2347, 1), (2543, 1), (3614, 1), (4090, 1), (4787, 1), (5232, 1), (5577, 1), (5578, 1), (5579, 1), (5580, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (30, 2), (37, 1), (55, 1), (82, 1), (169, 1), (173, 1), (229, 1), (355, 1), (387, 1), (450, 1), (490, 1), (744, 1), (792, 1), (892, 1), (2096, 1), (2149, 1), (2718, 1), (4442, 1), (5527, 1), (5581, 1)], [(8, 1), (18, 2), (20, 7), (23, 1), (25, 1), (31, 2), (45, 1), (50, 2), (53, 1), (54, 2), (55, 1), (58, 1), (90, 1), (94, 1), (96, 1), (108, 1), (173, 2), (185, 1), (187, 1), (228, 1), (229, 1), (240, 1), (313, 1), (347, 1), (553, 1), (1102, 1), (1434, 1), (1597, 1), (1686, 1), (1824, 1), (1877, 1), (1966, 1), (2259, 1), (2641, 1), (3004, 1), (3207, 1), (3333, 1), (3924, 1), (4402, 1), (5554, 1), (5582, 1), (5583, 1)], [(8, 1), (19, 1), (20, 5), (21, 2), (25, 1), (31, 1), (45, 2), (53, 1), (55, 1), (91, 1), (108, 1), (117, 1), (228, 1), (229, 3), (260, 1), (268, 1), (287, 1), (293, 1), (323, 1), (359, 1), (428, 1), (450, 1), (516, 1), (860, 1), (1102, 1), (1485, 1), (2259, 1), (3035, 1), (3614, 1), (4179, 1), (5584, 1), (5585, 1), (5586, 1), (5587, 1), (5588, 1), (5589, 1), (5590, 1), (5591, 1), (5592, 1), (5593, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (40, 1), (45, 1), (53, 2), (75, 1), (109, 1), (173, 2), (182, 1), (347, 1), (410, 1), (506, 1), (763, 1), (772, 1), (1580, 1), (1884, 1), (2904, 1), (5575, 1), (5579, 1), (5594, 1)], [(8, 1), (31, 1), (54, 1), (122, 1), (5462, 1), (5463, 1)], [(8, 1), (19, 2), (20, 3), (24, 1), (30, 1), (31, 1), (45, 3), (50, 1), (58, 1), (97, 1), (269, 1), (347, 1), (675, 1), (709, 1), (914, 1), (2321, 1), (2995, 1), (3378, 1), (5595, 1), (5596, 1), (5597, 1)], [(8, 1), (19, 2), (20, 1), (21, 2), (22, 2), (25, 2), (31, 2), (45, 1), (53, 5), (54, 1), (58, 2), (97, 1), (173, 1), (186, 1), (281, 1), (293, 1), (387, 1), (410, 1), (697, 1), (727, 1), (897, 1), (1102, 1), (1118, 1), (1277, 1), (1470, 1), (1537, 1), (2995, 1), (3330, 1), (3409, 1), (3614, 1), (3661, 1), (4728, 1), (4941, 1), (5555, 1), (5579, 2), (5598, 1), (5599, 1), (5600, 1)], [(8, 1), (20, 3), (23, 1), (46, 1), (64, 2), (90, 1), (99, 1), (172, 1), (233, 1), (269, 1), (285, 1), (342, 1), (601, 1), (833, 1), (1163, 1), (1296, 1), (1845, 1), (3614, 1)], [(53, 1), (117, 1), (759, 1), (946, 1), (1115, 1), (3918, 1), (5601, 1)], [(8, 1), (20, 1), (173, 1), (185, 1), (506, 1), (772, 1), (1884, 1), (2265, 1), (2816, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (24, 1), (25, 1), (45, 1), (50, 3), (53, 4), (58, 1), (77, 1), (185, 1), (193, 1), (334, 1), (414, 1), (428, 1), (450, 1), (516, 1), (675, 1), (680, 1), (829, 1), (1011, 1), (1115, 1), (1139, 1), (1365, 1), (2029, 1), (2235, 1), (2739, 1), (2978, 1), (3335, 1), (3340, 1), (4164, 1), (5438, 1), (5602, 1), (5603, 1), (5604, 1), (5605, 1), (5606, 1), (5607, 1), (5608, 1), (5609, 1), (5610, 2)], [(8, 1), (18, 4), (19, 1), (20, 4), (21, 2), (25, 1), (37, 1), (50, 2), (53, 1), (54, 1), (108, 1), (109, 1), (117, 1), (185, 1), (193, 2), (202, 1), (232, 1), (346, 1), (365, 1), (452, 1), (526, 1), (709, 1), (776, 1), (1041, 1), (1130, 1), (1172, 1), (1325, 1), (1731, 1), (1760, 1), (2089, 1), (2235, 1), (2406, 1), (3614, 1), (4164, 1), (4697, 1), (4721, 1), (5335, 1), (5438, 1), (5605, 1), (5611, 2), (5612, 1), (5613, 1), (5614, 1), (5615, 1), (5616, 1)], [(8, 1), (20, 5), (22, 1), (25, 3), (31, 1), (37, 1), (45, 1), (50, 1), (53, 6), (117, 2), (185, 1), (193, 1), (232, 2), (305, 1), (420, 1), (459, 1), (725, 1), (777, 1), (827, 1), (1147, 1), (1377, 1), (1582, 1), (1904, 1), (1973, 1), (2013, 1), (2036, 1), (3614, 1), (4164, 1), (4302, 1), (5448, 1), (5449, 1), (5452, 1), (5599, 1), (5610, 1), (5617, 1), (5618, 1), (5619, 1), (5620, 1), (5621, 1), (5622, 1)], [(7, 1), (8, 1), (19, 2), (20, 9), (21, 2), (22, 1), (23, 1), (25, 1), (37, 1), (45, 1), (50, 2), (53, 9), (77, 1), (84, 1), (90, 2), (108, 1), (172, 1), (193, 1), (215, 2), (233, 2), (240, 1), (273, 1), (307, 1), (323, 1), (334, 1), (414, 1), (419, 1), (428, 1), (434, 1), (450, 1), (506, 1), (711, 1), (744, 1), (772, 1), (827, 2), (834, 1), (1102, 1), (1115, 1), (1170, 1), (1365, 1), (1932, 1), (2035, 1), (2744, 1), (2799, 1), (2884, 1), (3172, 1), (3614, 1), (4009, 1), (4479, 1), (4791, 1), (5448, 1), (5449, 1), (5606, 1), (5623, 1), (5624, 2), (5625, 1), (5626, 1), (5627, 1), (5628, 1), (5629, 1), (5630, 1), (5631, 1), (5632, 1), (5633, 1), (5634, 1), (5635, 1), (5636, 1), (5637, 1), (5638, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (21, 3), (23, 1), (25, 2), (31, 2), (45, 1), (50, 1), (53, 5), (58, 1), (65, 1), (108, 1), (117, 1), (175, 1), (215, 1), (229, 1), (232, 1), (692, 1), (709, 1), (725, 1), (777, 1), (827, 1), (1354, 1), (1365, 1), (1377, 2), (1498, 1), (1582, 2), (1613, 1), (1902, 1), (1904, 2), (1931, 1), (2321, 1), (2442, 1), (2482, 1), (2655, 1), (3134, 1), (3303, 1), (3358, 1), (3864, 1), (4009, 1), (4015, 1), (5449, 1), (5610, 1), (5639, 1), (5640, 1), (5641, 1), (5642, 1)], [(20, 1), (32, 1), (64, 2), (84, 1), (96, 1), (99, 1), (117, 1), (233, 1), (346, 1), (759, 1), (946, 1), (1115, 1), (1163, 1), (1683, 1), (3614, 1), (3918, 1), (5601, 1), (5643, 1)], [(8, 1), (20, 3), (25, 1), (53, 1), (414, 1), (419, 1), (1043, 1), (1363, 1), (2038, 1), (2296, 1), (2344, 1), (2359, 1), (3214, 1), (5574, 1), (5644, 1)], [(8, 1), (20, 1), (53, 1), (58, 1), (310, 1), (752, 1), (1956, 1), (3751, 1), (5645, 1), (5646, 1)], [(8, 1), (20, 3), (31, 2), (37, 1), (50, 1), (53, 1), (65, 1), (269, 1), (300, 1), (450, 1), (632, 1), (1010, 1), (1054, 1), (1549, 1), (1657, 1), (1802, 1), (1999, 1), (2213, 1), (2275, 1), (2322, 1), (2689, 1), (4186, 1), (4563, 1)], [(7, 1), (8, 1), (18, 4), (19, 1), (20, 7), (22, 3), (25, 9), (37, 1), (40, 1), (50, 3), (53, 3), (55, 1), (56, 1), (65, 1), (83, 1), (90, 2), (95, 1), (108, 2), (109, 1), (174, 1), (193, 1), (269, 1), (281, 1), (293, 1), (355, 1), (407, 1), (414, 3), (426, 1), (459, 2), (632, 2), (1159, 1), (1308, 2), (1467, 1), (1488, 1), (1529, 1), (1655, 1), (1689, 1), (1809, 1), (2077, 2), (2324, 1), (2344, 1), (2458, 2), (2552, 1), (2962, 1), (3559, 1), (3669, 1), (3696, 1), (3709, 1), (3746, 1), (3882, 2), (3930, 1), (3931, 1), (4390, 1), (5647, 1), (5648, 1), (5649, 2), (5650, 1), (5651, 1), (5652, 1), (5653, 1), (5654, 1), (5655, 1), (5656, 1), (5657, 1), (5658, 1)], [(8, 1), (20, 2), (37, 1), (50, 1), (53, 2), (77, 1), (2051, 1), (2153, 1), (2547, 1), (5659, 1), (5660, 1), (5661, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (45, 1), (53, 4), (109, 1), (124, 1), (215, 1), (427, 1), (430, 1), (680, 1), (884, 1), (1159, 1), (1262, 1), (1535, 1), (2185, 1), (2235, 1), (2469, 1), (4282, 1), (5571, 1), (5662, 1), (5663, 1), (5664, 1), (5665, 1), (5666, 1)], [(8, 1), (19, 1), (22, 1), (23, 2), (25, 2), (37, 1), (50, 2), (53, 3), (55, 1), (90, 3), (97, 1), (168, 1), (190, 1), (268, 1), (288, 1), (365, 1), (506, 1), (777, 1), (1010, 1), (1347, 1), (2406, 1), (2440, 1), (3786, 2), (3861, 1), (5469, 1), (5667, 1), (5668, 1), (5669, 1), (5670, 1), (5671, 1), (5672, 1), (5673, 1), (5674, 1), (5675, 1), (5676, 1), (5677, 1), (5678, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (53, 1), (55, 1), (65, 1), (427, 1), (506, 1), (903, 1), (922, 1), (1880, 1), (2359, 1), (3614, 1), (4069, 1), (5679, 1)], [(8, 1), (22, 1), (25, 1), (45, 1), (173, 1), (449, 1), (2741, 1), (3000, 1), (3256, 1), (4228, 1), (4623, 1), (5680, 1), (5681, 1), (5682, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 2), (53, 3), (84, 1), (215, 1), (307, 1), (414, 1), (419, 1), (792, 1), (1076, 1), (1159, 1), (1549, 1), (2012, 1), (2927, 1), (3095, 1), (4282, 1), (5486, 1), (5571, 1), (5683, 1), (5684, 1), (5685, 1), (5686, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (31, 1), (53, 1), (197, 1), (394, 1), (405, 1), (418, 1), (419, 1), (516, 2), (765, 1), (1694, 1), (2434, 1), (3025, 1), (4286, 1), (5687, 1), (5688, 1), (5689, 1), (5690, 1), (5691, 1), (5692, 1), (5693, 1)], [(7, 1), (8, 1), (18, 3), (20, 4), (22, 1), (50, 2), (53, 3), (65, 1), (71, 1), (82, 1), (90, 2), (108, 1), (124, 1), (185, 1), (215, 2), (241, 1), (263, 1), (293, 1), (323, 1), (418, 1), (419, 3), (448, 1), (459, 2), (516, 1), (645, 1), (743, 1), (778, 1), (792, 1), (833, 1), (1102, 1), (1180, 1), (1342, 1), (1912, 1), (2005, 1), (2256, 1), (2296, 1), (2409, 1), (2648, 1), (4295, 1), (4325, 1), (4603, 1), (4904, 1), (5694, 1), (5695, 1), (5696, 1), (5697, 1), (5698, 1), (5699, 1), (5700, 1), (5701, 1)], [(7, 1), (8, 1), (20, 3), (25, 2), (29, 1), (37, 1), (50, 1), (53, 1), (109, 1), (172, 1), (203, 1), (301, 1), (323, 1), (328, 2), (448, 1), (450, 1), (459, 1), (702, 1), (2611, 1), (4119, 1), (4431, 1), (5702, 1), (5703, 1), (5704, 1)], [(8, 1), (30, 1), (45, 1), (50, 1), (206, 1), (269, 1), (626, 1), (686, 1), (774, 1), (2235, 1), (3614, 1), (5705, 1), (5706, 1)], [(8, 1), (23, 1), (50, 1), (53, 1), (54, 1), (117, 1), (232, 1), (236, 1), (702, 1), (2361, 1), (4098, 1), (4598, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 7), (22, 1), (25, 3), (30, 3), (31, 2), (45, 6), (53, 3), (55, 1), (58, 1), (65, 1), (69, 1), (108, 1), (186, 1), (281, 2), (428, 1), (506, 1), (531, 1), (626, 1), (704, 1), (710, 1), (774, 1), (897, 1), (1010, 1), (1012, 1), (1044, 1), (1180, 1), (1529, 1), (1574, 1), (1588, 1), (1897, 1), (2019, 1), (2259, 1), (2712, 1), (2835, 1), (2950, 1), (3283, 1), (3440, 1), (3468, 1), (3614, 1), (3929, 1), (3947, 1), (4474, 1), (5300, 1), (5384, 1), (5707, 1), (5708, 1), (5709, 1), (5710, 1), (5711, 1), (5712, 1)], [(64, 1), (247, 1), (5713, 1)], [(247, 1), (5713, 1)], [(20, 3), (22, 1), (53, 2), (64, 1), (66, 1), (90, 1), (117, 1), (167, 1), (226, 1), (232, 1), (433, 1), (1943, 1), (3480, 1), (4098, 1), (5713, 2), (5714, 1)], [(7, 1), (18, 1), (19, 1), (20, 4), (31, 1), (50, 1), (53, 2), (64, 2), (90, 1), (96, 1), (99, 1), (186, 1), (365, 1), (949, 1), (1163, 1), (1685, 1), (1714, 1), (1898, 1), (1904, 1), (2925, 1), (3215, 1), (3614, 1), (5715, 1), (5716, 1), (5717, 1), (5718, 1), (5719, 1)], [(90, 1), (99, 2), (117, 1), (172, 1), (461, 1), (601, 1), (759, 1), (946, 1), (2901, 1), (3034, 1), (3613, 1)], [(30, 1), (64, 1), (273, 1), (596, 1), (946, 1)], [(8, 1), (19, 1), (20, 1), (60, 1), (173, 1), (215, 1), (233, 1), (506, 1), (2406, 1), (3614, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (36, 1), (53, 1), (64, 2), (65, 1), (90, 2), (99, 1), (233, 1), (273, 1), (328, 1), (426, 1), (645, 1), (707, 1), (810, 1), (1137, 1), (1163, 2), (1702, 1), (3602, 1), (5720, 1), (5721, 1)], [(20, 2), (45, 1), (50, 1), (64, 2), (65, 1), (247, 1), (428, 1), (531, 1), (1163, 1), (2925, 1), (2977, 1), (3412, 1), (3424, 1), (3602, 1), (3614, 1), (5722, 1), (5723, 1), (5724, 1), (5725, 1), (5726, 1)], [(22, 2), (30, 1), (65, 6), (74, 2), (95, 1), (268, 1), (293, 1), (810, 2), (1178, 1), (3121, 2), (3269, 1), (3602, 6), (3614, 2), (5727, 1)], [(20, 3), (22, 1), (23, 1), (50, 1), (53, 1), (64, 2), (65, 1), (66, 1), (99, 3), (117, 1), (124, 1), (161, 1), (220, 1), (226, 1), (293, 1), (324, 2), (504, 1), (810, 1), (815, 1), (1163, 1), (1594, 1), (1670, 1), (1904, 1), (2706, 1), (2854, 1), (3215, 1), (3482, 1), (3602, 1), (4497, 1), (5728, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (53, 1), (54, 1), (58, 2), (90, 1), (108, 1), (220, 1), (229, 1), (293, 1), (301, 1), (897, 1), (1012, 1), (1342, 1), (1594, 1), (1731, 1), (1904, 1), (5729, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 1), (32, 1), (50, 1), (53, 5), (54, 1), (65, 2), (109, 1), (281, 1), (337, 1), (347, 1), (632, 2), (752, 1), (1042, 1), (1249, 1), (1596, 1), (2064, 1), (2383, 1), (2702, 1), (2878, 1), (2967, 1), (3296, 1), (3419, 1), (3700, 1), (5730, 1), (5731, 1), (5732, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 2), (24, 1), (25, 1), (31, 1), (37, 1), (53, 1), (54, 1), (58, 1), (178, 1), (193, 1), (283, 1), (293, 1), (347, 1), (459, 1), (903, 1), (1180, 1), (1354, 1), (2769, 1), (3614, 1), (4251, 1), (5331, 1), (5730, 1), (5733, 1), (5734, 1), (5735, 1), (5736, 1), (5737, 1), (5738, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 2), (31, 1), (50, 2), (53, 1), (69, 1), (109, 1), (122, 1), (197, 1), (269, 1), (414, 1), (428, 1), (626, 1), (903, 1), (970, 1), (1287, 1), (1458, 1), (1570, 1), (1656, 1), (2343, 1), (3095, 1), (5739, 1), (5740, 1), (5741, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (50, 2), (53, 3), (54, 1), (58, 1), (95, 1), (215, 1), (414, 1), (433, 1), (459, 1), (504, 1), (527, 1), (531, 1), (827, 1), (834, 1), (903, 1), (1088, 1), (1385, 1), (1722, 1), (2064, 1), (2296, 1), (2674, 1), (3181, 2), (3305, 1), (4282, 1), (5730, 1), (5742, 1), (5743, 1)], [(8, 1), (18, 2), (19, 2), (20, 9), (25, 4), (37, 1), (45, 2), (50, 3), (53, 8), (54, 2), (58, 2), (90, 1), (185, 1), (193, 1), (215, 1), (269, 1), (340, 1), (359, 1), (415, 1), (516, 1), (697, 1), (706, 1), (774, 1), (777, 1), (897, 1), (1122, 1), (1487, 1), (1540, 1), (1693, 1), (1867, 1), (1965, 1), (2652, 1), (2862, 1), (3134, 1), (3214, 1), (3614, 1), (3963, 1), (5011, 1), (5375, 1), (5730, 2), (5738, 1), (5744, 1), (5745, 1), (5746, 1), (5747, 1), (5748, 1), (5749, 1), (5750, 1), (5751, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (24, 1), (25, 1), (50, 1), (53, 5), (54, 1), (55, 1), (109, 1), (174, 1), (308, 1), (373, 1), (428, 1), (459, 1), (632, 1), (672, 1), (710, 1), (742, 1), (754, 1), (1324, 1), (1354, 1), (1529, 1), (3025, 1), (3614, 1), (5314, 1), (5574, 1), (5752, 1), (5753, 1), (5754, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (30, 1), (45, 2), (53, 1), (54, 1), (85, 1), (92, 1), (111, 1), (124, 1), (173, 1), (174, 1), (182, 1), (286, 1), (307, 1), (427, 1), (516, 1), (679, 1), (727, 1), (1248, 1), (1720, 1), (2609, 1), (3022, 1), (3468, 1), (3790, 1), (3929, 1), (4787, 1), (5755, 1), (5756, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (53, 1), (71, 1), (193, 1), (256, 1), (268, 1), (269, 1), (726, 1), (1130, 1), (1180, 1), (2304, 1), (5757, 1), (5758, 1)], [(8, 1), (24, 1), (170, 1), (310, 1), (347, 1), (5720, 1)], [(8, 1), (19, 1), (20, 4), (25, 2), (30, 1), (32, 1), (34, 1), (53, 1), (109, 1), (117, 1), (232, 1), (288, 1), (310, 1), (459, 1), (531, 1), (680, 1), (1076, 1), (1255, 1), (1377, 1), (1527, 1), (1570, 1), (1731, 1), (2354, 1), (3031, 1), (3304, 1), (3614, 1), (4791, 1), (5759, 1), (5760, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (53, 1), (55, 1), (85, 1), (124, 1), (126, 1), (173, 1), (269, 1), (415, 1), (1069, 1), (1080, 1), (1395, 1), (1458, 1), (1520, 1), (1702, 1), (3022, 1), (4563, 1), (5761, 1), (5762, 1)], [(8, 1), (24, 1), (91, 1), (186, 1), (373, 1), (1627, 1), (2392, 1)], [(8, 1), (24, 1), (54, 1), (178, 1), (4098, 1), (5763, 1)], [(8, 1), (18, 1), (22, 1), (45, 1), (53, 1), (507, 1), (1325, 1), (1354, 1), (2849, 1), (3614, 1), (3866, 1), (5039, 1), (5764, 1), (5765, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (45, 1), (90, 1), (174, 1), (178, 1), (516, 1), (1057, 1), (1717, 1), (2344, 1), (2354, 1), (2361, 1), (2547, 1), (3614, 2), (4549, 1), (5766, 1), (5767, 1)], [(40, 1), (328, 1), (744, 1), (1714, 1), (5768, 1), (5769, 1)], [(8, 1), (18, 1), (19, 1), (25, 1), (36, 1), (37, 1), (53, 1), (82, 1), (90, 1), (109, 1), (173, 1), (193, 1), (342, 1), (792, 1), (1470, 1), (5770, 1), (5771, 1), (5772, 1), (5773, 1), (5774, 1)], [(8, 1), (18, 1), (19, 3), (20, 7), (21, 2), (22, 1), (25, 2), (30, 1), (31, 1), (36, 1), (37, 1), (45, 1), (53, 2), (56, 1), (60, 1), (65, 1), (71, 1), (90, 1), (108, 1), (117, 1), (122, 1), (173, 1), (232, 1), (305, 1), (414, 1), (680, 2), (708, 1), (834, 1), (903, 1), (1044, 1), (1198, 1), (1255, 1), (1262, 1), (1308, 1), (1377, 1), (1693, 1), (1694, 1), (1901, 1), (2140, 1), (2806, 1), (3091, 1), (3181, 1), (3283, 1), (3305, 1), (3552, 1), (3623, 1), (3891, 1), (4480, 1), (5527, 1), (5775, 1), (5776, 1), (5777, 1)], [(66, 1), (203, 1), (206, 1), (751, 1), (2912, 1), (3410, 1), (5513, 1)], [(1544, 1), (5778, 1)], [(8, 1), (1361, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (53, 2), (124, 1), (293, 1), (337, 1), (414, 1), (419, 1), (742, 1), (1043, 1), (1361, 1), (1722, 1), (2216, 1), (2241, 1), (4716, 1), (5656, 1), (5729, 1), (5779, 1)], [(247, 1), (1361, 1)], [(8, 1), (25, 1), (58, 1), (85, 1), (193, 1), (324, 1), (1170, 1), (1755, 1), (5439, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (50, 1), (53, 2), (56, 1), (58, 2), (96, 1), (124, 1), (288, 1), (328, 1), (569, 1), (708, 1), (833, 1), (1324, 1), (2464, 1), (2774, 1), (3506, 1), (4706, 1), (5270, 1), (5780, 1), (5781, 1), (5782, 1)], [(8, 1), (18, 2), (20, 2), (21, 1), (22, 1), (25, 1), (37, 1), (50, 1), (58, 1), (175, 1), (193, 1), (654, 1), (1670, 1), (1840, 1), (5783, 1), (5784, 1), (5785, 1), (5786, 1)], [(8, 1), (18, 1), (31, 1), (77, 1), (99, 1), (108, 1), (124, 1), (215, 1), (285, 1), (328, 1), (351, 1), (609, 1), (833, 1), (1634, 1), (1840, 1), (5257, 1), (5332, 1), (5787, 1), (5788, 1)], [(7, 1), (8, 1), (18, 4), (19, 6), (20, 10), (22, 7), (25, 2), (31, 5), (50, 5), (53, 4), (65, 1), (71, 1), (90, 9), (94, 1), (99, 1), (108, 1), (117, 2), (172, 2), (186, 1), (190, 2), (197, 1), (214, 2), (215, 1), (232, 1), (265, 1), (269, 1), (275, 1), (293, 1), (307, 1), (328, 2), (353, 1), (361, 1), (365, 1), (410, 2), (450, 2), (452, 1), (516, 2), (518, 1), (531, 3), (537, 1), (583, 1), (697, 1), (711, 6), (757, 1), (759, 1), (894, 1), (924, 1), (1115, 1), (1248, 1), (1342, 1), (1361, 1), (1365, 1), (1435, 1), (1487, 1), (1615, 1), (1646, 1), (1901, 1), (1907, 1), (1951, 1), (2014, 1), (2145, 1), (2198, 1), (2234, 1), (2291, 1), (2400, 1), (2538, 1), (2690, 1), (3121, 1), (3663, 1), (3981, 1), (4062, 1), (4311, 1), (4442, 1), (4572, 2), (4709, 1), (4755, 1), (4768, 1), (5096, 1), (5310, 1), (5404, 1), (5789, 1), (5790, 1), (5791, 1), (5792, 1), (5793, 1), (5794, 1), (5795, 1), (5796, 1), (5797, 1), (5798, 1), (5799, 1), (5800, 1), (5801, 1), (5802, 1), (5803, 2), (5804, 1), (5805, 1), (5806, 1), (5807, 1), (5808, 1), (5809, 1), (5810, 1), (5811, 1), (5812, 1)], [(8, 1), (77, 1), (90, 1), (206, 1), (268, 1), (301, 1), (1308, 1), (1361, 1), (3852, 1), (5813, 1), (5814, 1)], [(7, 1), (8, 1), (32, 1), (50, 1), (53, 2), (54, 1), (65, 1), (185, 1), (193, 1), (288, 1), (600, 1), (1365, 1), (1670, 1), (1884, 1), (2332, 1), (5566, 1), (5815, 1), (5816, 1)], [(8, 1), (53, 1), (378, 1), (4789, 1), (5817, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (45, 1), (53, 1), (281, 1), (310, 1), (359, 1), (394, 1), (531, 2), (708, 1), (791, 1), (1999, 1), (2593, 1), (2744, 1), (4442, 1), (5818, 1), (5819, 1), (5820, 1), (5821, 1), (5822, 1)], [(8, 1), (50, 1), (53, 2), (85, 1), (450, 1), (726, 1), (777, 1), (1068, 1), (1270, 1), (1668, 1), (2390, 1), (3677, 1), (4612, 1), (4652, 1), (5823, 1), (5824, 1)], [(8, 1), (19, 1), (31, 1), (53, 1), (530, 1), (922, 1), (2919, 1), (3523, 1), (5825, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (53, 2), (85, 1), (117, 1), (178, 1), (232, 1), (259, 1), (328, 1), (337, 1), (394, 1), (450, 1), (531, 1), (711, 2), (884, 1), (894, 1), (1043, 1), (1365, 1), (1932, 1), (2252, 1), (2694, 1), (4980, 1), (5435, 1), (5655, 1), (5826, 1), (5827, 1)], [(18, 2), (19, 1), (20, 4), (53, 1), (88, 1), (90, 1), (108, 1), (206, 1), (247, 1), (365, 1), (414, 1), (596, 1), (743, 1), (897, 1), (2202, 1), (5339, 1), (5784, 1), (5828, 1), (5829, 1)], [(18, 1), (20, 4), (22, 7), (25, 6), (31, 4), (37, 2), (50, 2), (53, 4), (55, 2), (56, 1), (58, 1), (85, 1), (90, 1), (108, 1), (117, 1), (124, 1), (185, 1), (193, 2), (225, 1), (232, 1), (247, 1), (334, 1), (355, 1), (365, 1), (407, 2), (414, 1), (423, 1), (530, 1), (531, 1), (708, 1), (711, 2), (763, 1), (774, 1), (913, 1), (1122, 1), (1526, 1), (1600, 1), (1840, 1), (1886, 1), (2140, 1), (2169, 1), (2191, 1), (2344, 1), (2393, 1), (3758, 1), (3794, 1), (4088, 1), (4702, 1), (5830, 1), (5831, 1), (5832, 1), (5833, 1), (5834, 1), (5835, 1), (5836, 1), (5837, 1), (5838, 1), (5839, 1), (5840, 1), (5841, 1), (5842, 1), (5843, 1), (5844, 1), (5845, 1), (5846, 1), (5847, 1), (5848, 1), (5849, 1), (5850, 1), (5851, 1)], [(19, 1), (20, 3), (25, 1), (45, 2), (50, 1), (55, 1), (65, 1), (71, 1), (90, 1), (124, 1), (214, 1), (247, 1), (365, 1), (407, 1), (452, 1), (658, 1), (744, 1), (833, 1), (1914, 1), (4619, 1), (5852, 1), (5853, 1), (5854, 1), (5855, 1), (5856, 1), (5857, 1), (5858, 1), (5859, 1), (5860, 1), (5861, 1)], [(8, 1), (20, 6), (22, 1), (25, 2), (31, 1), (53, 4), (56, 1), (65, 1), (85, 1), (91, 1), (109, 1), (172, 1), (206, 2), (215, 1), (228, 1), (293, 1), (331, 1), (365, 2), (394, 1), (399, 1), (450, 1), (516, 1), (792, 1), (1116, 1), (1132, 1), (1155, 1), (1248, 1), (1600, 1), (1820, 1), (1886, 1), (5495, 1), (5828, 1), (5862, 1), (5863, 1), (5864, 1), (5865, 1), (5866, 1), (5867, 1), (5868, 1), (5869, 1), (5870, 1), (5871, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (25, 2), (37, 1), (50, 1), (53, 3), (85, 1), (109, 1), (117, 1), (185, 1), (214, 1), (232, 1), (281, 1), (418, 1), (450, 1), (496, 1), (498, 1), (1000, 1), (1235, 1), (1442, 1), (3426, 1), (4130, 1), (5049, 1), (5789, 1), (5872, 1), (5873, 1), (5874, 1), (5875, 1), (5876, 1), (5877, 1), (5878, 1), (5879, 1), (5880, 1), (5881, 1), (5882, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (45, 1), (50, 1), (53, 1), (58, 2), (77, 1), (92, 1), (173, 1), (215, 1), (229, 1), (256, 1), (286, 1), (365, 1), (415, 1), (697, 1), (970, 1), (1498, 1), (2820, 1), (5883, 1), (5884, 1), (5885, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (25, 1), (50, 1), (53, 4), (109, 1), (214, 1), (215, 1), (256, 3), (260, 1), (338, 1), (355, 2), (365, 1), (374, 1), (405, 1), (415, 2), (450, 1), (516, 1), (654, 1), (672, 1), (705, 1), (711, 1), (860, 1), (904, 1), (967, 1), (1102, 1), (1392, 1), (2224, 1), (3149, 1), (4686, 1), (5886, 1), (5887, 1), (5888, 1), (5889, 1), (5890, 1), (5891, 1), (5892, 1), (5893, 1), (5894, 1), (5895, 1)], [(8, 1), (19, 2), (20, 3), (22, 2), (24, 1), (25, 2), (31, 2), (45, 1), (53, 1), (58, 2), (70, 2), (173, 2), (215, 1), (229, 1), (310, 1), (355, 1), (365, 1), (378, 1), (414, 1), (855, 1), (1089, 1), (4537, 1), (5874, 1), (5896, 1), (5897, 1), (5898, 1), (5899, 1), (5900, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (37, 1), (45, 2), (53, 1), (58, 1), (77, 1), (82, 1), (97, 1), (117, 1), (232, 1), (285, 1), (1091, 1), (1102, 1), (1587, 1), (1692, 1), (1815, 1), (2191, 1), (2245, 1), (5901, 1), (5902, 2), (5903, 1), (5904, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (36, 1), (53, 4), (91, 1), (173, 2), (215, 2), (365, 1), (399, 1), (414, 1), (435, 1), (760, 1), (1571, 1), (5804, 2), (5905, 1), (5906, 1), (5907, 1), (5908, 1), (5909, 1), (5910, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (53, 2), (56, 1), (58, 2), (82, 1), (90, 1), (124, 1), (173, 2), (193, 1), (285, 1), (286, 1), (293, 1), (405, 1), (420, 1), (516, 1), (531, 1), (609, 1), (833, 1), (1779, 1), (2265, 1), (2344, 1), (3036, 1), (4965, 1), (5911, 1), (5912, 1), (5913, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 3), (30, 1), (45, 3), (50, 3), (53, 2), (77, 1), (85, 1), (90, 1), (187, 1), (193, 2), (293, 1), (405, 1), (452, 1), (1068, 1), (1159, 1), (1487, 1), (1529, 1), (1668, 1), (1799, 1), (2036, 1), (2516, 1), (2656, 1), (2724, 1), (2754, 1), (4937, 1), (5157, 1), (5874, 1), (5914, 1), (5915, 1), (5916, 1), (5917, 1), (5918, 1), (5919, 1), (5920, 1), (5921, 1), (5922, 1), (5923, 1)], [(1544, 1), (5924, 1)], [(8, 1), (5925, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (23, 1), (25, 3), (31, 1), (53, 2), (54, 1), (90, 1), (122, 1), (166, 1), (193, 1), (202, 1), (256, 1), (268, 1), (293, 1), (361, 1), (419, 1), (420, 1), (426, 1), (685, 1), (884, 1), (892, 1), (1282, 1), (1929, 1), (2245, 1), (2348, 1), (2471, 1), (2852, 1), (2917, 1), (3056, 1), (3287, 1), (3614, 1), (5571, 1), (5926, 1)], [(8, 1), (19, 2), (20, 4), (24, 1), (25, 1), (30, 1), (31, 1), (37, 1), (45, 2), (50, 4), (53, 4), (54, 1), (65, 1), (71, 1), (72, 1), (90, 1), (108, 1), (173, 3), (215, 1), (269, 1), (283, 1), (347, 2), (434, 2), (454, 1), (1361, 1), (2240, 1), (2310, 1), (2422, 1), (2466, 1), (2824, 1), (5582, 1), (5927, 1), (5928, 2), (5929, 1), (5930, 1), (5931, 1), (5932, 1), (5933, 1), (5934, 1), (5935, 1), (5936, 1), (5937, 1), (5938, 1)], [(8, 1), (20, 1), (53, 1), (65, 1), (82, 1), (90, 1), (166, 1), (173, 1), (193, 1), (359, 1), (419, 1), (602, 1), (815, 1), (833, 1), (1296, 1), (1485, 1), (1685, 1), (1733, 1), (1980, 1), (5583, 1), (5930, 1), (5931, 1), (5939, 1)], [(8, 1), (18, 3), (19, 3), (20, 7), (21, 2), (23, 1), (25, 2), (45, 1), (50, 2), (53, 10), (54, 2), (58, 1), (71, 1), (75, 3), (84, 2), (90, 3), (173, 1), (193, 2), (203, 1), (206, 1), (215, 1), (273, 1), (289, 1), (301, 1), (347, 2), (353, 1), (360, 1), (392, 1), (410, 1), (414, 4), (419, 3), (434, 2), (452, 1), (489, 1), (645, 1), (763, 3), (778, 1), (897, 2), (1057, 2), (1139, 1), (1248, 1), (1287, 1), (1330, 1), (1613, 1), (1656, 1), (2184, 1), (2391, 1), (2407, 1), (2419, 1), (2421, 1), (2464, 1), (2617, 1), (3118, 1), (3181, 1), (3398, 2), (3614, 1), (3655, 2), (4567, 3), (4568, 3), (4987, 1), (5940, 1), (5941, 2), (5942, 1), (5943, 1), (5944, 1), (5945, 1), (5946, 2)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 3), (25, 2), (31, 1), (32, 1), (50, 1), (53, 2), (54, 1), (97, 1), (186, 1), (193, 1), (268, 1), (328, 1), (410, 1), (419, 1), (425, 1), (426, 1), (697, 1), (884, 1), (897, 1), (1621, 1), (1901, 1), (2276, 1), (2288, 1), (2344, 1), (2387, 1), (2604, 1), (5947, 1), (5948, 1), (5949, 1)], [(7, 1), (8, 1), (20, 3), (25, 1), (31, 1), (50, 2), (51, 2), (53, 1), (65, 2), (109, 1), (117, 1), (317, 1), (531, 2), (1082, 1), (1259, 1), (1349, 1), (1802, 1), (2200, 1), (2401, 1), (2457, 1), (2514, 1), (3540, 1), (4138, 1), (4709, 1), (5496, 1), (5950, 1), (5951, 1), (5952, 1), (5953, 1)], [(8, 1), (18, 2), (20, 1), (24, 1), (50, 1), (51, 1), (53, 2), (65, 2), (82, 1), (90, 1), (185, 1), (293, 1), (317, 1), (414, 1), (415, 1), (459, 1), (516, 1), (632, 1), (708, 1), (884, 1), (1084, 1), (1802, 1), (2304, 1), (3540, 1), (4709, 1), (5954, 1), (5955, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 2), (53, 1), (54, 1), (55, 1), (82, 1), (166, 1), (185, 1), (193, 2), (256, 1), (744, 1), (777, 1), (1342, 1), (2912, 1), (3824, 1), (5954, 1), (5956, 1), (5957, 1), (5958, 1), (5959, 1), (5960, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 1), (25, 1), (31, 1), (50, 2), (53, 1), (54, 1), (91, 1), (108, 2), (126, 1), (186, 1), (215, 1), (269, 2), (418, 1), (506, 1), (813, 1), (1084, 1), (1580, 1), (2707, 1), (3162, 1), (3355, 1), (3614, 1), (5961, 1), (5962, 1), (5963, 1)], [(8, 1), (20, 1), (23, 1), (117, 1), (122, 1), (232, 1), (2009, 1), (2439, 1)], [(18, 1), (22, 2), (25, 1), (31, 2), (53, 1), (117, 1), (126, 1), (193, 1), (226, 1), (232, 1), (247, 1), (281, 1), (506, 1), (763, 1), (1471, 1), (1580, 2), (2096, 1), (2272, 1), (2419, 1), (3518, 1), (3824, 1), (5954, 1), (5964, 1), (5965, 1), (5966, 1)], [(18, 1), (25, 1), (50, 1), (247, 1), (278, 1), (1171, 1), (2401, 1), (3296, 1), (5953, 1)], [(85, 1), (206, 1), (237, 1), (1714, 1), (1715, 1), (2344, 1), (2396, 1), (2609, 1), (5290, 1), (5967, 1)], [(7, 1), (8, 1), (18, 6), (20, 4), (23, 1), (25, 2), (31, 2), (50, 2), (53, 3), (54, 1), (55, 2), (72, 1), (90, 1), (109, 1), (206, 1), (220, 1), (289, 1), (328, 1), (414, 1), (516, 1), (531, 1), (645, 1), (1487, 1), (1668, 1), (2210, 1), (2304, 1), (2332, 1), (2375, 1), (2433, 1), (2691, 1), (2949, 1), (2965, 1), (3038, 1), (3398, 2), (3460, 1), (3536, 1), (3987, 1), (5264, 1), (5968, 1), (5969, 1), (5970, 1), (5971, 1), (5972, 1), (5973, 1), (5974, 1)], [(19, 1), (20, 1), (23, 1), (53, 1), (55, 1), (64, 2), (71, 1), (111, 1), (117, 1), (233, 1), (295, 2), (645, 1), (1163, 1), (1178, 1), (1322, 1), (2543, 1), (2854, 1), (5975, 1), (5976, 1)], [(8, 1), (20, 2), (23, 1), (37, 1), (64, 2), (233, 1), (414, 1), (970, 1), (1163, 1), (3280, 1), (3614, 1)], [(8, 1), (117, 1), (232, 1), (351, 1), (5977, 1)], [(66, 1), (5929, 1)], [(8, 3), (19, 2), (20, 1), (22, 1), (37, 1), (45, 1), (58, 1), (78, 1), (85, 1), (109, 1), (256, 1), (293, 1), (331, 1), (685, 1), (827, 1), (1195, 1), (1274, 1), (1277, 1), (1587, 1), (2406, 1), (5928, 1), (5929, 2), (5977, 1), (5978, 1)], [(8, 1), (18, 5), (19, 1), (20, 5), (25, 3), (46, 1), (50, 1), (53, 2), (55, 1), (84, 1), (108, 2), (111, 1), (193, 1), (233, 1), (316, 1), (428, 1), (434, 3), (884, 1), (946, 1), (1122, 1), (1198, 1), (1784, 1), (2406, 1), (2471, 1), (2743, 1), (2766, 1), (2772, 1), (2816, 1), (2852, 1), (3298, 1), (3415, 1), (4296, 1), (5929, 1), (5974, 1), (5977, 1), (5979, 1), (5980, 1), (5981, 1), (5982, 1), (5983, 1), (5984, 1), (5985, 1), (5986, 1)], [(20, 1), (64, 1), (90, 1), (117, 2), (232, 1), (242, 1), (410, 1), (596, 1), (946, 1), (5987, 1), (5988, 1)], [(8, 1), (20, 1), (23, 1), (55, 1), (233, 1), (289, 1), (5989, 1)], [(64, 1), (111, 1), (946, 1), (5979, 1), (5980, 1)], [(8, 1), (1322, 1), (2608, 1)], [(64, 1), (108, 1), (126, 1), (1714, 1), (2852, 1), (3293, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (77, 1), (96, 1), (99, 1), (1898, 1), (2275, 1), (2654, 1), (3293, 1), (5977, 1)], [(946, 1), (5929, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (31, 1), (53, 1), (58, 1), (64, 1), (90, 1), (117, 2), (232, 1), (256, 1), (759, 1), (1342, 1), (1964, 1), (2011, 1), (2275, 1), (2490, 1), (2650, 1), (5977, 1), (5990, 1), (5991, 1)], [(946, 1), (5929, 1)], [(8, 2), (18, 1), (19, 3), (20, 3), (25, 2), (31, 3), (53, 5), (54, 1), (58, 1), (64, 2), (85, 1), (98, 1), (108, 2), (256, 1), (301, 1), (323, 1), (334, 1), (418, 1), (430, 1), (433, 1), (527, 1), (531, 1), (645, 1), (809, 1), (827, 1), (1163, 2), (2345, 1), (2570, 1), (3031, 1), (3293, 2), (3304, 1), (3353, 1), (3460, 1), (5929, 1), (5974, 1), (5977, 1), (5992, 1), (5993, 1), (5994, 1), (5995, 1), (5996, 1), (5997, 1), (5998, 1)], [(18, 1), (20, 1), (23, 1), (64, 2), (85, 1), (90, 1), (99, 1), (108, 1), (233, 1), (269, 1), (342, 1), (414, 1), (419, 1), (434, 1), (581, 1), (885, 1), (946, 1), (1163, 1), (1685, 1), (2479, 1), (2852, 1), (3293, 1), (3614, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (53, 2), (109, 1), (282, 1), (307, 1), (434, 1), (2024, 1), (2274, 1), (2387, 1), (5995, 1), (5999, 1), (6000, 1), (6001, 1), (6002, 1), (6003, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (54, 1), (90, 1), (301, 1), (420, 1), (426, 1), (3254, 1), (3634, 1), (5392, 1), (6004, 1), (6005, 1)], [(20, 1), (247, 1), (311, 1), (1583, 1), (4167, 1)], [(8, 1), (19, 1), (506, 1), (6006, 1)], [(8, 1), (20, 4), (22, 1), (25, 3), (50, 1), (53, 1), (54, 1), (55, 3), (122, 1), (186, 1), (353, 1), (428, 1), (703, 1), (709, 1), (833, 1), (884, 1), (1914, 1), (1947, 1), (2960, 1), (2985, 1), (3121, 1), (3530, 1), (4385, 1), (5798, 1), (6007, 1), (6008, 1), (6009, 1), (6010, 1), (6011, 1), (6012, 1), (6013, 1), (6014, 1), (6015, 1), (6016, 1), (6017, 1), (6018, 1)], [(7, 1), (8, 2), (18, 2), (20, 5), (23, 2), (25, 4), (30, 1), (31, 1), (45, 1), (50, 1), (53, 2), (55, 1), (58, 1), (117, 1), (232, 1), (236, 1), (285, 1), (307, 1), (334, 1), (392, 1), (419, 1), (420, 1), (506, 1), (626, 1), (815, 1), (827, 2), (884, 1), (1416, 1), (1488, 1), (1597, 1), (1694, 1), (1773, 1), (2529, 1), (3021, 1), (3140, 1), (3293, 1), (3614, 1), (5211, 1), (5835, 1), (5929, 1), (5977, 1), (6004, 1), (6019, 1), (6020, 1), (6021, 1), (6022, 1), (6023, 1), (6024, 1), (6025, 1), (6026, 1), (6027, 1), (6028, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (53, 2), (55, 1), (64, 2), (98, 1), (334, 1), (1580, 1), (2345, 1), (2850, 1), (5835, 1), (5995, 1), (6029, 1), (6030, 1), (6031, 1), (6032, 1)], [(8, 1), (18, 3), (20, 2), (25, 1), (31, 1), (53, 1), (54, 1), (55, 1), (65, 1), (256, 1), (307, 1), (359, 1), (426, 1), (434, 1), (725, 1), (1342, 1), (1458, 1), (1478, 1), (1520, 1), (2178, 1), (2241, 1), (2258, 1), (5835, 1), (6003, 1), (6004, 1), (6033, 1), (6034, 1), (6035, 1)], [(19, 1), (20, 2), (22, 1), (23, 2), (25, 1), (31, 1), (32, 1), (53, 2), (84, 1), (161, 1), (185, 1), (225, 1), (226, 1), (414, 1), (504, 1), (706, 1), (751, 1), (1149, 1), (1529, 1), (1714, 1), (2009, 1), (2202, 1), (2245, 1), (5627, 1), (6031, 1), (6036, 1), (6037, 1), (6038, 1)], [(65, 1), (90, 1), (117, 1), (232, 1), (410, 1), (596, 1), (1115, 1), (1714, 1), (3091, 1), (4463, 1), (6004, 1), (6039, 1)], [(18, 1), (20, 2), (31, 1), (64, 1), (90, 1), (117, 1), (301, 1), (324, 1), (759, 1), (1170, 1), (1714, 1), (2011, 1), (3476, 1), (3614, 1), (5627, 1), (6040, 1)], [(117, 1), (232, 1), (324, 1), (946, 1), (1323, 1), (2259, 1)], [(8, 1), (20, 1), (22, 1), (37, 1), (50, 1), (53, 2), (54, 1), (81, 1), (97, 1), (108, 1), (240, 1), (328, 1), (459, 1), (515, 1), (1041, 1), (2029, 1), (3537, 1), (5773, 1), (5930, 1), (5931, 1), (5933, 1), (5953, 1), (6041, 1), (6042, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (65, 1), (74, 1), (92, 1), (99, 1), (108, 4), (309, 1), (324, 1), (442, 1), (1057, 1), (1170, 1), (2852, 1), (2911, 1), (3455, 1), (3623, 1), (3962, 1), (5925, 1), (6004, 2)], [(8, 1), (24, 1), (53, 1), (54, 1), (55, 1), (65, 1), (307, 1), (2321, 1), (3293, 1), (4453, 1), (5111, 1), (6043, 1)], [(8, 2), (18, 1), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (51, 1), (65, 1), (347, 1), (1460, 1), (1607, 1), (3049, 1), (3510, 1), (5525, 1), (5928, 1), (5929, 2), (5977, 1), (6044, 1), (6045, 1), (6046, 1), (6047, 1), (6048, 1), (6049, 1)], [(8, 1), (18, 3), (19, 2), (20, 7), (23, 3), (25, 1), (31, 1), (37, 1), (53, 3), (54, 1), (55, 1), (65, 1), (74, 1), (82, 1), (88, 1), (97, 1), (108, 1), (117, 3), (166, 1), (193, 1), (232, 3), (269, 1), (278, 1), (295, 1), (351, 1), (399, 1), (414, 1), (448, 1), (452, 1), (706, 1), (726, 1), (913, 1), (940, 1), (1057, 1), (1129, 1), (1607, 1), (1695, 1), (1840, 1), (1987, 1), (2318, 1), (2543, 2), (2926, 1), (4026, 1), (4128, 1), (5784, 1), (5835, 1), (5928, 1), (6033, 1), (6042, 1), (6050, 1), (6051, 1), (6052, 1), (6053, 1), (6054, 1), (6055, 1), (6056, 1), (6057, 1), (6058, 1)], [(8, 2), (18, 1), (19, 2), (20, 5), (22, 2), (25, 2), (31, 1), (45, 1), (53, 3), (54, 1), (109, 1), (186, 1), (215, 1), (256, 1), (268, 1), (410, 1), (419, 1), (506, 1), (529, 1), (697, 1), (1069, 1), (1159, 2), (1322, 1), (1326, 1), (2258, 1), (2259, 2), (2471, 1), (2851, 1), (3297, 1), (3330, 1), (3415, 1), (3536, 1), (3614, 1), (4846, 1), (4886, 1), (5089, 1), (5929, 1), (5941, 1), (5977, 1), (6059, 1), (6060, 1), (6061, 1)], [(64, 1), (82, 1), (1714, 1), (1845, 1)], [(21, 1), (22, 1), (23, 1), (45, 1), (55, 1), (64, 1), (82, 1), (94, 1), (197, 1), (233, 1), (256, 1), (485, 1), (946, 1), (2149, 1), (2259, 1), (3413, 1)], [(8, 1), (58, 1), (64, 1), (117, 1), (232, 1), (1163, 1), (1298, 1), (1322, 1), (2490, 1), (4699, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (23, 1), (25, 1), (31, 3), (40, 1), (45, 3), (50, 2), (54, 2), (55, 2), (64, 1), (88, 1), (90, 1), (109, 1), (117, 3), (170, 1), (173, 1), (193, 1), (268, 1), (309, 1), (404, 1), (420, 1), (450, 1), (605, 2), (609, 1), (626, 1), (632, 1), (763, 1), (893, 1), (894, 1), (897, 1), (1224, 1), (1248, 1), (1298, 1), (1308, 1), (1350, 1), (1580, 1), (2235, 1), (2259, 1), (2634, 1), (3148, 1), (3274, 1), (3920, 1), (6062, 1), (6063, 1), (6064, 1), (6065, 1), (6066, 1), (6067, 1), (6068, 1), (6069, 1), (6070, 1), (6071, 1), (6072, 1)], [(8, 2), (10, 1), (20, 2), (23, 1), (25, 1), (45, 1), (58, 1), (64, 2), (81, 1), (88, 1), (99, 1), (108, 2), (185, 1), (190, 1), (226, 1), (241, 1), (347, 1), (599, 1), (782, 1), (1057, 1), (1195, 1), (1322, 1), (1731, 1), (2515, 1), (2734, 1), (2926, 1), (3614, 1)], [(19, 1), (20, 1), (22, 1), (53, 1), (65, 1), (108, 1), (111, 1), (301, 1), (600, 1), (946, 1), (3242, 1), (3293, 1), (3962, 1), (5835, 1), (6004, 1)], [(7, 1), (18, 1), (22, 1), (23, 1), (25, 1), (50, 2), (64, 2), (66, 1), (117, 1), (172, 1), (232, 1), (498, 1), (697, 1), (1163, 1), (2490, 1), (6073, 1), (6074, 1), (6075, 1), (6076, 1), (6077, 1)], [(1544, 1), (6078, 1)], [(8, 1), (24, 1), (6079, 1)], [(8, 1), (53, 1), (84, 1), (108, 1), (359, 1), (419, 1), (2471, 1), (3242, 1), (6080, 1), (6081, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 17), (21, 2), (22, 3), (23, 3), (25, 6), (30, 1), (31, 4), (32, 1), (37, 1), (45, 1), (50, 5), (53, 6), (55, 1), (56, 1), (58, 2), (65, 1), (81, 1), (84, 2), (85, 1), (90, 4), (97, 1), (108, 2), (111, 1), (123, 1), (173, 1), (185, 1), (203, 1), (215, 2), (217, 1), (268, 1), (273, 1), (281, 3), (293, 1), (301, 1), (329, 1), (347, 4), (399, 1), (418, 1), (434, 1), (488, 2), (504, 1), (506, 2), (687, 1), (709, 2), (743, 2), (772, 1), (777, 1), (884, 1), (902, 1), (1102, 1), (1149, 2), (1248, 1), (1580, 1), (1593, 1), (1656, 1), (1685, 1), (1764, 1), (1765, 1), (2050, 1), (2096, 1), (2222, 1), (2239, 1), (2365, 1), (2401, 1), (2406, 1), (2656, 1), (2744, 1), (2861, 1), (3121, 1), (3200, 1), (3275, 1), (3352, 1), (3448, 1), (3614, 2), (4199, 2), (4296, 1), (5236, 1), (5943, 1), (6082, 4), (6083, 1), (6084, 1), (6085, 1), (6086, 1), (6087, 1), (6088, 1), (6089, 1), (6090, 1), (6091, 1), (6092, 1), (6093, 1), (6094, 1), (6095, 1), (6096, 1), (6097, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (23, 1), (25, 2), (31, 4), (37, 1), (45, 1), (50, 3), (53, 2), (55, 1), (82, 1), (90, 1), (117, 1), (172, 1), (215, 1), (228, 1), (232, 1), (240, 1), (256, 1), (281, 1), (323, 1), (334, 1), (487, 2), (725, 1), (792, 1), (813, 1), (919, 1), (1499, 1), (1640, 1), (1937, 1), (1964, 1), (1966, 1), (2133, 1), (2178, 1), (2374, 1), (2757, 1), (2985, 1), (3614, 1), (3915, 1), (4739, 1), (6082, 2), (6090, 1), (6098, 1), (6099, 1), (6100, 1), (6101, 1), (6102, 1), (6103, 1), (6104, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (37, 1), (50, 2), (53, 1), (82, 1), (84, 1), (90, 1), (111, 1), (117, 2), (185, 1), (193, 1), (232, 2), (237, 1), (346, 1), (516, 1), (792, 1), (1964, 1), (2239, 1), (3030, 2), (3614, 1), (6082, 1), (6096, 1)], [(8, 1), (18, 1), (19, 2), (23, 1), (25, 1), (53, 1), (82, 1), (84, 1), (85, 1), (117, 1), (232, 1), (281, 1), (347, 1), (434, 1), (454, 1), (884, 1), (914, 1), (1287, 1), (3614, 1), (5447, 1), (6105, 1), (6106, 1), (6107, 1), (6108, 1), (6109, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (23, 1), (25, 2), (37, 1), (50, 1), (54, 1), (55, 1), (90, 2), (185, 1), (215, 1), (268, 1), (281, 1), (301, 1), (348, 1), (410, 1), (743, 1), (753, 1), (813, 1), (884, 1), (1580, 1), (2245, 1), (2859, 1), (3432, 1), (3614, 1), (3914, 1), (5589, 1), (6036, 1), (6110, 1), (6111, 1), (6112, 1), (6113, 1), (6114, 1), (6115, 1), (6116, 1), (6117, 1), (6118, 1)], [(8, 1), (19, 1), (20, 11), (21, 2), (22, 1), (23, 4), (25, 4), (31, 1), (45, 3), (50, 3), (53, 1), (54, 2), (55, 2), (58, 4), (78, 2), (84, 1), (85, 2), (90, 2), (108, 2), (111, 2), (166, 2), (169, 1), (186, 1), (193, 1), (361, 2), (399, 1), (414, 1), (448, 1), (811, 1), (812, 2), (813, 1), (884, 1), (897, 1), (903, 1), (999, 1), (1044, 1), (1102, 1), (1149, 1), (1377, 1), (2744, 1), (2926, 1), (3098, 1), (3160, 1), (3440, 1), (3538, 1), (3614, 3), (3726, 1), (4018, 1), (4025, 1), (4582, 1), (4713, 1), (5381, 1), (5404, 1), (5562, 1), (6082, 3), (6119, 1), (6120, 1), (6121, 1), (6122, 1), (6123, 1), (6124, 1), (6125, 2), (6126, 1), (6127, 1)], [(8, 1), (20, 3), (21, 1), (23, 1), (24, 1), (25, 2), (53, 2), (65, 3), (90, 1), (108, 1), (117, 1), (180, 1), (186, 1), (228, 1), (289, 1), (328, 1), (355, 1), (459, 1), (609, 1), (1248, 2), (1430, 1), (1451, 1), (2997, 1), (3359, 1), (4591, 1), (6128, 1), (6129, 1), (6130, 1), (6131, 1), (6132, 1), (6133, 1)], [(8, 1), (18, 1), (20, 3), (22, 3), (23, 1), (32, 1), (50, 3), (53, 3), (54, 1), (65, 2), (77, 1), (81, 1), (82, 1), (99, 1), (190, 1), (212, 1), (215, 1), (268, 1), (279, 1), (597, 1), (1685, 1), (3034, 1), (3681, 1), (4872, 1), (6134, 1), (6135, 1), (6136, 1), (6137, 1), (6138, 1), (6139, 1), (6140, 1), (6141, 1), (6142, 1), (6143, 1), (6144, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 2), (23, 1), (25, 3), (53, 4), (54, 1), (65, 2), (90, 1), (108, 2), (109, 1), (185, 1), (410, 1), (414, 1), (434, 1), (452, 1), (709, 1), (777, 1), (897, 1), (1159, 2), (1255, 1), (1363, 1), (1416, 1), (1430, 1), (1764, 1), (2304, 1), (2997, 1), (4659, 1), (6128, 1), (6129, 1), (6130, 1), (6145, 1), (6146, 1), (6147, 1), (6148, 1)], [(8, 1), (18, 2), (20, 3), (22, 3), (23, 1), (25, 1), (31, 1), (51, 2), (58, 1), (65, 2), (82, 1), (88, 1), (96, 1), (98, 1), (99, 1), (108, 2), (172, 1), (182, 1), (185, 1), (215, 1), (228, 1), (256, 1), (324, 1), (361, 1), (726, 1), (744, 1), (812, 1), (830, 1), (922, 1), (1580, 1), (1589, 2), (1902, 1), (2239, 2), (2371, 1), (2705, 1), (3034, 1), (5843, 1), (6008, 1), (6129, 1), (6149, 1), (6150, 1), (6151, 1), (6152, 1), (6153, 1), (6154, 1), (6155, 1), (6156, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (50, 1), (51, 2), (53, 1), (54, 1), (55, 1), (65, 2), (86, 1), (410, 1), (504, 1), (531, 1), (709, 1), (1156, 1), (1159, 1), (1170, 1), (1964, 1), (2005, 1), (2571, 1), (3121, 1), (6157, 1), (6158, 1)], [(8, 1), (18, 1), (20, 2), (25, 3), (31, 2), (37, 1), (50, 1), (51, 1), (53, 1), (54, 1), (65, 1), (117, 2), (225, 1), (232, 2), (323, 1), (404, 1), (516, 1), (1159, 1), (1886, 1), (2967, 1), (3340, 1), (3420, 1), (3972, 1), (4220, 1), (4380, 1), (6018, 1), (6159, 1), (6160, 1), (6161, 1), (6162, 1), (6163, 1), (6164, 1), (6165, 1), (6166, 1)], [(8, 1), (2304, 1), (4282, 1), (4417, 1), (6167, 1), (6168, 1)], [(8, 1), (18, 1), (20, 1), (21, 2), (31, 1), (50, 3), (51, 1), (53, 3), (186, 1), (414, 1), (459, 1), (482, 1), (516, 1), (703, 1), (765, 2), (791, 1), (1139, 1), (1159, 2), (1248, 1), (1585, 1), (2248, 1), (2296, 1), (3149, 1), (3289, 1), (4251, 1), (4281, 1), (6167, 1), (6169, 1), (6170, 1), (6171, 1), (6172, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (53, 1), (65, 2), (212, 1), (386, 1), (459, 1), (516, 1), (1139, 1), (1995, 1), (2756, 1), (6167, 1), (6173, 1), (6174, 1), (6175, 1), (6176, 1), (6177, 1), (6178, 1), (6179, 1), (6180, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (37, 1), (51, 1), (53, 1), (90, 1), (108, 1), (124, 1), (206, 1), (301, 1), (347, 1), (459, 1), (833, 1), (1159, 1), (1322, 1), (1350, 1), (1467, 1), (2053, 1), (2168, 1), (2245, 1), (2351, 1), (2828, 1), (6181, 1), (6182, 1), (6183, 1), (6184, 1)], [(7, 1), (8, 1), (18, 2), (20, 10), (25, 4), (32, 1), (37, 1), (45, 2), (50, 5), (51, 1), (53, 3), (55, 1), (58, 2), (65, 3), (71, 1), (111, 1), (117, 1), (173, 1), (185, 1), (228, 1), (229, 1), (232, 1), (269, 1), (281, 1), (307, 1), (347, 1), (488, 1), (502, 1), (609, 1), (777, 1), (1146, 1), (1159, 2), (1572, 1), (1792, 2), (1904, 1), (1932, 1), (2005, 1), (2248, 1), (2265, 1), (2479, 1), (2858, 1), (3312, 1), (3324, 1), (3557, 1), (3867, 1), (5409, 1), (5597, 1), (6129, 1), (6185, 1), (6186, 2), (6187, 1), (6188, 1), (6189, 1), (6190, 1), (6191, 1), (6192, 1), (6193, 1), (6194, 1), (6195, 1), (6196, 1), (6197, 1), (6198, 1)], [(8, 1), (20, 1), (45, 1), (50, 1), (54, 1), (55, 1), (161, 1), (516, 1), (1156, 1), (2694, 1), (3355, 1), (3378, 1), (3510, 1), (6199, 1), (6200, 1), (6201, 1), (6202, 1), (6203, 1)], [(8, 1), (18, 1), (50, 1), (54, 1), (387, 1), (1156, 1), (6204, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 2), (53, 1), (126, 1), (442, 1), (1078, 1), (1159, 1), (2239, 1), (2258, 1), (2706, 1), (6205, 1), (6206, 1), (6207, 1)], [(8, 1), (19, 2), (20, 5), (25, 1), (50, 1), (51, 1), (53, 2), (55, 1), (95, 1), (108, 1), (174, 1), (269, 1), (328, 1), (430, 1), (449, 1), (459, 1), (516, 1), (1088, 1), (1122, 1), (1159, 2), (1693, 1), (2467, 1), (2849, 1), (4526, 1), (6208, 1), (6209, 1), (6210, 1), (6211, 1), (6212, 1), (6213, 1), (6214, 1), (6215, 1), (6216, 1)], [(8, 1), (20, 1), (50, 2), (65, 1), (82, 1), (92, 1), (256, 1), (365, 1), (405, 1), (777, 1), (924, 1), (2356, 1), (2694, 1), (2737, 1), (3611, 1), (5142, 1), (5746, 1), (6215, 1), (6217, 1), (6218, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (54, 1), (90, 1), (109, 1), (174, 1), (193, 1), (269, 1), (328, 1), (1088, 1), (1159, 2), (1322, 1), (1332, 1), (1526, 1), (2858, 1), (3111, 1), (4533, 1), (5743, 1), (6219, 1), (6220, 1), (6221, 1), (6222, 1), (6223, 1), (6224, 1), (6225, 2), (6226, 1)], [(7, 2), (8, 1), (18, 1), (20, 2), (24, 1), (31, 1), (45, 1), (53, 1), (90, 1), (173, 1), (323, 1), (420, 1), (516, 1), (626, 1), (1041, 1), (1088, 1), (2548, 1), (3331, 1), (4117, 1), (5667, 1), (6225, 1), (6227, 1), (6228, 1), (6229, 1), (6230, 1), (6231, 1)], [(18, 1), (20, 1), (63, 1), (126, 1), (247, 1), (256, 1), (407, 1), (507, 1), (2239, 1), (6232, 1)], [(8, 1), (55, 1), (90, 1), (214, 1), (487, 1), (507, 1), (2849, 1), (4721, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (22, 1), (23, 3), (31, 1), (50, 1), (53, 3), (65, 2), (82, 1), (108, 2), (111, 1), (166, 1), (193, 1), (215, 1), (240, 1), (256, 1), (269, 1), (317, 1), (346, 1), (410, 1), (420, 1), (448, 1), (686, 1), (726, 1), (763, 1), (813, 1), (884, 1), (902, 1), (1042, 1), (1149, 1), (1488, 1), (1498, 1), (1964, 1), (2064, 1), (2075, 1), (2304, 1), (2847, 1), (3275, 1), (4560, 1), (5531, 1), (6233, 1), (6234, 1), (6235, 1), (6236, 1), (6237, 1)], [(8, 1), (18, 1), (31, 1), (122, 1), (903, 1), (1308, 1), (2272, 1), (2839, 1), (6238, 1), (6239, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (50, 5), (53, 4), (54, 1), (65, 1), (95, 1), (109, 1), (122, 1), (174, 1), (448, 1), (692, 1), (693, 1), (704, 1), (771, 1), (790, 1), (970, 1), (1012, 1), (1596, 1), (1760, 1), (2290, 1), (2401, 1), (2614, 1), (3206, 1), (6240, 1), (6241, 1), (6242, 1), (6243, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 2), (31, 1), (50, 1), (51, 1), (53, 4), (55, 1), (65, 1), (117, 1), (193, 1), (206, 1), (232, 1), (329, 1), (414, 2), (415, 1), (433, 1), (448, 1), (450, 1), (516, 1), (706, 1), (1129, 1), (1139, 1), (1287, 1), (2064, 1), (2340, 1), (2704, 1), (3097, 1), (3540, 1), (5247, 1), (5896, 1), (6243, 1), (6244, 1), (6245, 1), (6246, 1), (6247, 1), (6248, 1), (6249, 1), (6250, 1), (6251, 1), (6252, 1), (6253, 1), (6254, 1), (6255, 1), (6256, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 3), (90, 1), (126, 1), (239, 1), (293, 1), (433, 1), (709, 1), (1462, 1), (3783, 1), (3867, 1), (4282, 1), (4556, 1), (4602, 1), (6257, 1), (6258, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (22, 1), (23, 1), (25, 2), (31, 1), (32, 1), (45, 1), (50, 1), (52, 1), (53, 2), (54, 1), (58, 1), (109, 1), (117, 1), (172, 1), (185, 1), (193, 1), (232, 1), (269, 1), (323, 2), (331, 1), (406, 1), (608, 1), (709, 1), (827, 1), (894, 1), (903, 1), (1350, 1), (4560, 1), (4666, 1), (4920, 1), (5065, 1), (5496, 1), (6259, 1), (6260, 1), (6261, 1), (6262, 1), (6263, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (36, 1), (37, 1), (50, 4), (51, 1), (53, 3), (54, 3), (55, 1), (65, 1), (97, 2), (414, 1), (531, 1), (777, 1), (922, 1), (1699, 1), (2100, 1), (2571, 1), (2795, 1), (3108, 1), (3495, 1), (3802, 1), (3924, 1), (5417, 1), (6237, 1), (6264, 1), (6265, 1), (6266, 1), (6267, 1), (6268, 1)], [(8, 1), (18, 1), (19, 2), (20, 7), (22, 2), (23, 1), (25, 4), (31, 3), (45, 2), (50, 2), (51, 1), (53, 6), (54, 3), (65, 2), (69, 1), (97, 1), (108, 1), (109, 1), (172, 1), (173, 1), (185, 1), (186, 1), (203, 1), (228, 1), (261, 2), (293, 1), (328, 1), (329, 1), (351, 1), (407, 1), (410, 2), (452, 1), (516, 1), (527, 1), (608, 1), (645, 1), (703, 1), (726, 1), (1122, 1), (1308, 1), (1474, 1), (1499, 1), (1597, 1), (1695, 1), (1806, 1), (1902, 1), (2029, 1), (2163, 1), (2241, 1), (2320, 1), (2820, 1), (2986, 1), (3001, 1), (3800, 1), (3907, 1), (3929, 1), (4219, 1), (4432, 1), (4585, 1), (6266, 1), (6269, 1), (6270, 1), (6271, 1), (6272, 1), (6273, 1), (6274, 1), (6275, 1), (6276, 1), (6277, 1), (6278, 1), (6279, 1), (6280, 1), (6281, 1)], [(8, 1), (18, 1), (31, 1), (65, 1), (214, 1), (220, 1), (452, 1), (2153, 1), (4432, 1), (6282, 1), (6283, 1)], [(50, 1), (53, 2), (64, 1), (185, 1), (946, 1), (1904, 1), (2909, 1), (6129, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (50, 1), (53, 2), (233, 1), (2345, 1), (6236, 1), (6284, 1)], [(20, 1), (30, 1), (50, 2), (53, 2), (58, 1), (64, 1), (71, 1), (96, 1), (357, 1), (946, 1), (1325, 1), (2853, 1), (6129, 1), (6285, 1), (6286, 1)], [(8, 1), (173, 1), (1326, 1)], [(23, 1), (50, 1), (54, 1), (64, 1), (66, 1), (3358, 1), (4713, 1)], [(20, 1), (64, 1), (252, 1), (357, 1), (1714, 1), (6287, 2)], [(18, 1), (21, 1), (23, 1), (31, 1), (34, 1), (40, 1), (217, 1), (268, 1), (357, 1), (373, 1), (556, 1), (946, 1), (1197, 1), (5874, 1)], [(20, 2), (23, 1), (64, 1), (66, 1), (172, 1), (812, 1), (1165, 1), (1167, 1)], [(20, 1), (21, 1), (23, 1), (37, 1), (64, 1), (193, 1), (273, 1), (410, 1), (527, 1), (1714, 1), (2096, 1), (3034, 1), (5198, 1), (6288, 1), (6289, 1)], [(8, 1), (20, 1), (22, 1), (23, 2), (64, 1), (172, 1), (256, 1), (268, 1), (292, 1), (597, 1), (1167, 1), (1627, 1), (1722, 1), (5028, 1)], [(20, 1), (23, 2), (25, 1), (31, 1), (53, 1), (90, 1), (117, 1), (217, 1), (342, 1), (1198, 1), (1451, 1), (2089, 1), (2334, 1), (3069, 1), (3726, 1)], [(8, 1), (64, 1), (71, 1), (2334, 1), (5886, 1), (6290, 1)], [(8, 1), (19, 1), (82, 1), (90, 1), (506, 1), (6291, 1), (6292, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (34, 1), (40, 1), (50, 1), (53, 1), (88, 1), (90, 2), (109, 1), (117, 1), (357, 1), (504, 1), (506, 1), (710, 1), (1324, 1), (1458, 1), (1683, 1), (2334, 1), (2854, 1), (3638, 2), (4841, 1), (6288, 1), (6293, 1), (6294, 1)], [(247, 1), (2334, 1), (2785, 1), (6295, 1)], [(8, 1), (23, 1), (31, 1), (32, 1), (50, 1), (262, 1), (295, 1), (355, 1), (834, 1), (1498, 1), (1937, 1), (2024, 1), (2442, 1), (5141, 1), (6293, 1)], [(247, 1), (301, 1), (3264, 1)], [(18, 3), (19, 2), (20, 6), (50, 1), (53, 1), (58, 2), (82, 3), (96, 1), (117, 1), (217, 1), (245, 1), (287, 1), (342, 1), (352, 1), (357, 3), (365, 1), (420, 1), (645, 1), (759, 1), (884, 1), (946, 1), (1683, 4), (1904, 1), (1907, 1), (2096, 1), (2344, 1), (2853, 1), (2913, 1), (3942, 1), (4062, 1), (4841, 1), (5870, 1), (6288, 1), (6289, 2), (6296, 1), (6297, 1), (6298, 1), (6299, 1), (6300, 1), (6301, 1), (6302, 1)], [(8, 1), (23, 1), (50, 1), (206, 1), (487, 1), (1580, 1), (6303, 1), (6304, 1)], [(8, 1), (20, 5), (23, 1), (25, 1), (37, 1), (45, 1), (50, 3), (51, 1), (53, 2), (54, 1), (90, 1), (109, 1), (111, 1), (185, 1), (206, 1), (215, 1), (263, 1), (531, 1), (711, 1), (726, 1), (1350, 1), (1487, 1), (1650, 1), (1822, 1), (1964, 1), (2206, 1), (3139, 1), (3324, 1), (5874, 1), (5980, 1), (6305, 1), (6306, 1), (6307, 1), (6308, 1), (6309, 1), (6310, 1), (6311, 1), (6312, 1), (6313, 1)], [(18, 1), (64, 1), (65, 1), (96, 1), (245, 1), (301, 1), (1714, 1), (2096, 1), (3539, 1)], [(19, 1), (23, 2), (50, 1), (66, 1), (90, 1), (295, 1), (307, 1), (342, 1), (2853, 1), (3034, 1), (4713, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (34, 1), (64, 1), (77, 1), (96, 1), (949, 1), (2013, 1), (2096, 1), (2853, 1)], [(19, 1), (23, 1), (34, 1), (53, 1), (56, 1), (66, 1), (2853, 1)], [(19, 1), (20, 1), (34, 1), (64, 1), (77, 1), (96, 1), (1714, 1), (2096, 1), (6289, 1), (6314, 1)], [(220, 1), (295, 1), (414, 1), (946, 1), (1904, 1), (6315, 1), (6316, 1), (6317, 1)], [(20, 1), (64, 1), (77, 1), (946, 1), (949, 1), (1904, 1), (2010, 1), (6315, 1)], [(8, 1), (20, 2), (23, 1), (64, 1), (236, 1), (293, 1), (4390, 1), (4939, 1)], [(50, 1), (53, 1), (66, 1), (77, 1), (185, 1), (709, 1), (1904, 2), (6315, 1)], [(8, 1), (23, 1), (64, 1), (242, 1), (897, 1), (4400, 1)], [(19, 1), (23, 2), (53, 1), (54, 1), (66, 1), (236, 1), (1377, 1), (1904, 1), (5052, 1)], [(8, 1), (19, 2), (20, 1), (21, 1), (64, 1), (90, 1), (117, 1), (214, 1), (232, 1), (252, 1), (295, 1), (323, 1), (556, 1), (645, 1), (1904, 1), (2235, 1), (5052, 2), (6186, 1)], [(8, 1), (19, 2), (20, 2), (25, 2), (34, 1), (37, 1), (53, 2), (55, 1), (85, 1), (108, 1), (122, 1), (227, 1), (506, 1), (1159, 1), (1488, 1), (1506, 1), (1777, 1), (1899, 1), (1904, 1), (3201, 1), (6105, 1), (6129, 1), (6318, 1)], [(8, 1), (25, 1), (214, 1), (751, 1), (1596, 1), (5597, 1), (6319, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (23, 2), (31, 1), (50, 1), (54, 1), (58, 2), (77, 1), (85, 2), (96, 1), (215, 2), (273, 1), (295, 3), (301, 1), (307, 1), (357, 2), (504, 1), (581, 1), (697, 1), (1685, 1), (1764, 1), (1865, 1), (2096, 1), (2140, 1), (2415, 1), (3034, 1), (3763, 1), (4958, 1), (6320, 1), (6321, 1), (6322, 1)], [(20, 2), (25, 1), (66, 1), (90, 1), (169, 1), (173, 1), (220, 1), (225, 1), (269, 1), (357, 1), (414, 1), (645, 1), (1308, 1), (1904, 1), (2235, 1), (3638, 1), (6315, 1), (6323, 1), (6324, 1)], [(20, 1), (64, 1), (99, 1), (596, 1), (949, 1), (1685, 1), (1714, 1), (1898, 1)], [(7, 1), (18, 1), (53, 1), (95, 1), (269, 1), (415, 1), (482, 1), (946, 1), (5768, 1)], [(7, 1), (18, 1), (64, 1), (95, 1), (247, 1), (6325, 1)], [(7, 1), (18, 1), (19, 1), (20, 4), (40, 1), (53, 1), (54, 1), (58, 1), (90, 1), (186, 1), (373, 1), (392, 1), (506, 1), (645, 1), (702, 1), (1178, 1), (3786, 1), (5723, 2), (6326, 1), (6327, 1), (6328, 1), (6329, 1), (6330, 1), (6331, 1), (6332, 1), (6333, 1)], [(7, 1), (18, 2), (20, 5), (22, 1), (23, 4), (31, 2), (45, 2), (50, 1), (53, 3), (54, 2), (64, 1), (66, 1), (77, 1), (90, 1), (94, 1), (95, 1), (99, 1), (109, 1), (161, 1), (166, 2), (172, 1), (193, 1), (215, 3), (233, 1), (256, 2), (268, 1), (273, 1), (288, 1), (289, 1), (328, 1), (441, 1), (596, 1), (597, 1), (601, 1), (884, 2), (949, 1), (1102, 1), (1393, 1), (1499, 1), (1597, 1), (1896, 1), (1961, 1), (1966, 1), (2666, 1), (2785, 1), (3034, 1), (3177, 1), (3572, 1), (4229, 1), (4721, 1), (5567, 1), (6114, 1), (6334, 1), (6335, 1), (6336, 1), (6337, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (32, 1), (34, 1), (50, 1), (64, 1), (82, 1), (117, 1), (214, 1), (295, 2), (357, 1), (645, 1), (813, 1), (1075, 1), (1430, 1), (1670, 1), (1897, 1), (2235, 1), (2539, 1), (3103, 1), (4841, 1), (6047, 1), (6286, 1)], [(19, 1), (20, 1), (22, 1), (32, 1), (50, 1), (90, 1), (117, 1), (217, 1), (295, 1), (307, 1), (365, 1), (946, 1), (1541, 1), (3069, 1), (6338, 1)], [(20, 1), (23, 4), (31, 1), (53, 1), (64, 2), (90, 1), (99, 1), (217, 1), (233, 1), (236, 1), (347, 1), (404, 1), (772, 1), (1163, 1), (1167, 1), (1198, 1), (1451, 1), (2089, 1)], [(50, 1), (64, 1), (85, 1), (90, 1), (247, 1), (310, 1), (6339, 1)], [(8, 1), (21, 2), (23, 2), (53, 1), (58, 1), (96, 1), (117, 2), (172, 1), (233, 1), (410, 1), (506, 1), (759, 2), (1907, 1), (2334, 1), (3291, 1), (6293, 1), (6340, 1), (6341, 1)], [(8, 1), (301, 1), (415, 1), (434, 1), (498, 1), (1129, 1), (3200, 1)], [(18, 1), (22, 1), (23, 1), (58, 1), (77, 1), (96, 1), (108, 1), (172, 1), (245, 1), (262, 1), (295, 1), (410, 1), (946, 1), (1685, 1), (1824, 1), (2096, 1), (4455, 1), (5942, 1), (6342, 1)], [(20, 1), (23, 1), (64, 1), (66, 1), (949, 1), (1685, 1)], [(8, 1), (64, 1), (548, 1), (2178, 1)], [(18, 2), (19, 1), (20, 2), (25, 1), (53, 1), (58, 1), (95, 1), (117, 1), (232, 1), (310, 1), (337, 1), (346, 1), (357, 1), (556, 1), (645, 1), (897, 1), (1714, 1), (1963, 1), (2259, 1), (2962, 1), (3476, 1), (4118, 1)], [(20, 1), (1178, 1), (2185, 1), (6343, 1)], [(19, 3), (20, 3), (22, 2), (23, 2), (50, 1), (53, 1), (58, 1), (64, 1), (66, 1), (71, 3), (77, 1), (82, 1), (88, 1), (90, 1), (97, 1), (117, 1), (242, 1), (293, 1), (504, 1), (743, 1), (759, 1), (949, 1), (1685, 1), (1907, 1), (2666, 1), (3083, 1), (6344, 1), (6345, 1), (6346, 1)], [(8, 1), (64, 1), (1458, 1), (3642, 1)], [(7, 1), (18, 1), (19, 4), (20, 3), (31, 1), (34, 1), (53, 1), (56, 1), (65, 1), (77, 1), (82, 1), (85, 1), (96, 1), (169, 1), (256, 1), (287, 2), (295, 1), (346, 1), (357, 1), (441, 1), (897, 1), (902, 1), (1308, 1), (1714, 1), (2096, 2), (2853, 1), (6322, 1), (6347, 1)], [(82, 1), (90, 1), (96, 1), (233, 1), (295, 1), (1714, 1), (5768, 1)], [(8, 1), (23, 1), (236, 1), (293, 1)], [(18, 1), (19, 1), (20, 3), (25, 3), (34, 1), (53, 1), (65, 1), (66, 1), (88, 1), (96, 1), (295, 1), (328, 2), (506, 2), (626, 1), (777, 1), (897, 2), (1328, 1), (1462, 1), (1696, 1), (1731, 1), (2013, 1), (2145, 1), (2967, 1), (4482, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 2), (23, 1), (31, 1), (58, 1), (82, 1), (88, 1), (111, 1), (185, 1), (286, 1), (288, 1), (490, 1), (884, 1), (1416, 1), (2018, 1), (2127, 1), (2296, 1), (2605, 1), (2617, 1), (3495, 1), (6348, 1), (6349, 1)], [(8, 1), (20, 1), (37, 1), (45, 1), (53, 1), (117, 1), (232, 1), (269, 1), (301, 1), (414, 1), (428, 1), (506, 1), (704, 1), (1904, 1), (2211, 1), (4212, 1), (6186, 1), (6283, 1), (6350, 1), (6351, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (32, 1), (53, 4), (54, 1), (55, 1), (65, 1), (90, 1), (224, 1), (430, 1), (433, 1), (583, 1), (709, 1), (777, 1), (1137, 1), (1159, 1), (1328, 1), (1462, 1), (2191, 1), (2433, 1), (2967, 1), (3287, 1), (3493, 1), (4796, 1), (6352, 1), (6353, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (24, 1), (25, 1), (34, 1), (53, 1), (54, 1), (82, 1), (90, 1), (166, 1), (256, 1), (3901, 1), (3999, 1), (6001, 1), (6077, 1), (6354, 1), (6355, 1), (6356, 1)], [(20, 1), (53, 1), (64, 1), (96, 1), (117, 1), (232, 1), (946, 1), (2013, 1), (6357, 1)], [(22, 1), (23, 1), (34, 1), (64, 1), (96, 1), (233, 1), (295, 1), (420, 1), (426, 1), (626, 1), (792, 1), (946, 1), (6186, 1)], [(18, 1), (20, 2), (22, 1), (23, 2), (25, 1), (64, 1), (66, 1), (117, 1), (186, 1), (232, 1), (256, 1), (289, 1), (309, 1), (328, 1), (342, 1), (527, 1), (680, 1), (1102, 1), (1118, 1), (1163, 1), (1198, 1), (1434, 1), (1937, 1), (6358, 1), (6359, 1)], [(20, 1), (50, 1), (53, 1), (56, 1), (64, 1), (96, 1), (342, 1), (357, 1), (897, 1), (1714, 1), (1747, 1), (2013, 1), (3140, 1)], [(19, 2), (20, 1), (34, 1), (50, 1), (58, 1), (124, 1), (161, 1), (287, 1), (295, 1), (1122, 1), (1177, 1), (1336, 1), (1714, 1), (2206, 1), (2207, 1), (6289, 1)], [(34, 1), (53, 1), (56, 1), (99, 1), (117, 1), (295, 1), (759, 1), (800, 1), (946, 1), (1139, 1), (2540, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (21, 2), (22, 1), (23, 5), (25, 3), (32, 1), (37, 1), (53, 2), (54, 2), (65, 1), (161, 1), (185, 1), (203, 1), (215, 2), (236, 1), (256, 1), (285, 1), (287, 1), (454, 1), (709, 1), (884, 1), (2096, 1), (2178, 1), (2608, 1), (6129, 1), (6186, 1), (6360, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (173, 1), (293, 1), (506, 2), (709, 1), (3864, 1), (6113, 1), (6361, 1), (6362, 1)], [(53, 1), (55, 1), (64, 1), (66, 1), (173, 1), (215, 1), (240, 1), (295, 1), (331, 1), (357, 1), (702, 1), (708, 1), (970, 1), (1163, 1), (1187, 1), (1198, 1), (2306, 1), (2543, 1), (2828, 1), (6363, 1)], [(8, 1), (20, 1), (53, 2), (173, 1), (293, 1), (331, 1), (428, 1), (697, 1), (2064, 1), (3091, 1), (4437, 1), (4729, 1), (6364, 1)], [(8, 1), (18, 1), (19, 1), (25, 1), (53, 1), (54, 1), (96, 1), (407, 1), (414, 1), (506, 1), (903, 1), (1640, 1), (3652, 1), (6365, 1), (6366, 1), (6367, 1)], [(7, 1), (8, 1), (18, 4), (19, 1), (20, 7), (22, 3), (25, 1), (31, 2), (50, 5), (51, 1), (53, 6), (54, 1), (55, 1), (71, 1), (77, 1), (85, 1), (111, 3), (122, 1), (195, 1), (206, 1), (215, 1), (269, 1), (275, 1), (323, 1), (410, 1), (415, 1), (418, 1), (451, 1), (488, 1), (706, 1), (709, 1), (827, 1), (880, 1), (1128, 1), (1129, 1), (1904, 2), (2318, 1), (2406, 1), (2543, 1), (2978, 1), (3100, 1), (4223, 1), (4769, 1), (4863, 1), (5597, 1), (6186, 1), (6318, 1), (6368, 1), (6369, 1), (6370, 1), (6371, 1), (6372, 1), (6373, 1), (6374, 1), (6375, 1)], [(8, 1), (20, 1), (31, 4), (53, 1), (90, 1), (99, 1), (450, 1), (697, 1), (922, 1), (1361, 1), (1391, 1), (1522, 1), (1595, 1), (1608, 1), (1685, 1), (1849, 1), (2096, 1), (2178, 1), (4840, 1), (6376, 1), (6377, 1), (6378, 1), (6379, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 4), (31, 2), (50, 1), (53, 3), (54, 1), (90, 1), (185, 1), (217, 1), (228, 1), (253, 1), (346, 1), (361, 1), (415, 1), (487, 1), (516, 1), (531, 1), (1041, 1), (1308, 1), (1365, 1), (1498, 1), (1909, 1), (2785, 1), (2813, 1), (4020, 1), (5566, 1), (5828, 1), (6186, 1), (6269, 2), (6318, 1), (6367, 1), (6380, 1), (6381, 1), (6382, 1), (6383, 1), (6384, 1), (6385, 1), (6386, 1), (6387, 1), (6388, 1)], [(8, 1), (25, 1), (37, 1), (50, 2), (53, 1), (65, 1), (95, 1), (206, 1), (214, 1), (286, 1), (407, 1), (448, 1), (922, 1), (2076, 1), (5910, 1), (6389, 1), (6390, 1)], [(8, 1), (18, 1), (22, 1), (55, 1), (214, 2), (530, 1), (711, 1), (3899, 1), (6389, 2), (6391, 1)], [(8, 1), (18, 4), (20, 9), (21, 2), (22, 1), (25, 3), (31, 1), (50, 4), (53, 4), (55, 2), (65, 1), (82, 1), (90, 1), (91, 1), (109, 1), (110, 1), (111, 1), (206, 1), (214, 1), (241, 1), (245, 1), (323, 1), (328, 1), (357, 1), (365, 1), (399, 1), (414, 1), (447, 1), (450, 1), (600, 1), (920, 1), (1297, 1), (1365, 1), (1403, 1), (1571, 1), (1584, 1), (1702, 1), (2440, 1), (3414, 1), (3727, 1), (3742, 1), (3808, 1), (4020, 1), (4889, 1), (5203, 1), (5310, 1), (5616, 1), (5913, 1), (6269, 1), (6392, 1), (6393, 1), (6394, 1), (6395, 1), (6396, 1), (6397, 1), (6398, 1), (6399, 1), (6400, 1), (6401, 1), (6402, 1), (6403, 1), (6404, 1), (6405, 1), (6406, 1)], [(7, 1), (8, 1), (18, 6), (19, 2), (20, 7), (21, 2), (22, 2), (25, 7), (27, 1), (29, 1), (31, 3), (37, 1), (50, 2), (53, 3), (55, 2), (65, 1), (90, 1), (108, 1), (109, 2), (111, 1), (117, 2), (174, 1), (182, 1), (193, 1), (206, 1), (217, 1), (225, 1), (226, 1), (228, 1), (229, 1), (232, 2), (256, 1), (269, 1), (323, 1), (331, 1), (342, 1), (420, 1), (441, 1), (448, 1), (487, 1), (507, 1), (558, 1), (621, 1), (645, 2), (678, 1), (723, 1), (812, 1), (1071, 1), (1089, 1), (1159, 1), (1224, 1), (1262, 1), (1297, 1), (1740, 1), (1743, 1), (1853, 1), (2100, 1), (2146, 1), (2622, 1), (2712, 1), (2764, 1), (2912, 1), (2985, 1), (3227, 1), (3804, 1), (4062, 1), (4143, 1), (4167, 1), (4346, 1), (4437, 1), (4652, 1), (5028, 1), (5159, 1), (5957, 1), (6048, 1), (6407, 1), (6408, 1), (6409, 1), (6410, 1), (6411, 1), (6412, 1), (6413, 1), (6414, 1), (6415, 1), (6416, 1), (6417, 1), (6418, 1), (6419, 1), (6420, 1), (6421, 1), (6422, 1), (6423, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (30, 1), (37, 1), (45, 1), (50, 1), (53, 1), (58, 1), (96, 1), (109, 1), (111, 1), (172, 1), (173, 1), (190, 1), (193, 2), (415, 1), (504, 1), (675, 1), (723, 1), (974, 1), (1310, 1), (1350, 1), (2120, 1), (2795, 1), (3043, 1), (4671, 1), (6424, 1), (6425, 1), (6426, 1), (6427, 1), (6428, 1)], [(8, 1), (18, 1), (37, 1), (92, 1), (214, 1), (286, 1), (293, 1), (334, 1), (353, 1), (526, 1), (600, 1), (6427, 1), (6429, 1)], [(8, 1), (20, 2), (37, 1), (50, 1), (77, 1), (185, 1), (256, 1), (1541, 1), (1686, 1), (2235, 1), (2775, 1), (4942, 1), (6430, 1), (6431, 1), (6432, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 1), (50, 1), (53, 1), (55, 2), (58, 1), (82, 1), (109, 1), (172, 1), (215, 1), (256, 1), (269, 1), (301, 1), (323, 1), (419, 1), (504, 1), (531, 1), (645, 1), (744, 1), (1308, 1), (1393, 1), (1458, 1), (1685, 1), (1702, 1), (1824, 1), (1929, 1), (2120, 1), (2265, 2), (2785, 1), (4033, 1), (6269, 1), (6384, 1), (6433, 1), (6434, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (54, 1), (65, 2), (240, 1), (551, 1), (1685, 1), (1904, 2), (3413, 1), (6186, 1), (6196, 1), (6318, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 3), (25, 2), (37, 3), (45, 2), (50, 4), (53, 4), (65, 1), (72, 1), (82, 4), (90, 1), (96, 1), (108, 1), (185, 1), (214, 1), (215, 1), (217, 1), (228, 1), (256, 1), (269, 2), (289, 1), (293, 1), (301, 1), (323, 1), (347, 3), (487, 2), (505, 1), (583, 1), (670, 1), (834, 1), (922, 1), (1005, 1), (1122, 1), (1308, 1), (1361, 1), (1365, 1), (1668, 1), (1904, 2), (2034, 1), (2207, 1), (2768, 1), (2785, 1), (3553, 1), (3727, 1), (3807, 2), (4937, 1), (5339, 1), (5429, 1), (5638, 1), (6186, 1), (6269, 1), (6318, 1), (6385, 1), (6387, 1), (6435, 1), (6436, 1), (6437, 1), (6438, 1), (6439, 1), (6440, 1), (6441, 1), (6442, 1), (6443, 1), (6444, 1), (6445, 1), (6446, 1), (6447, 1)], [(8, 1), (20, 2), (37, 1), (50, 1), (54, 1), (108, 1), (185, 1), (328, 1), (410, 1), (448, 1), (1904, 1), (2440, 1), (3136, 1), (4716, 1), (6186, 1), (6448, 1), (6449, 1), (6450, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (25, 2), (28, 1), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (109, 1), (173, 1), (281, 1), (305, 1), (347, 2), (405, 1), (1102, 1), (1116, 1), (1155, 1), (1377, 1), (1720, 1), (1824, 2), (1988, 1), (2117, 1), (2660, 1), (2693, 1), (3468, 1), (3721, 1), (6221, 1), (6451, 1), (6452, 1), (6453, 1), (6454, 1), (6455, 1), (6456, 1), (6457, 1), (6458, 1), (6459, 1), (6460, 1), (6461, 2)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (23, 1), (25, 3), (30, 1), (31, 2), (32, 1), (45, 1), (50, 1), (53, 4), (56, 1), (58, 1), (77, 1), (82, 2), (90, 1), (117, 1), (173, 1), (174, 1), (185, 1), (206, 1), (232, 1), (256, 1), (269, 1), (289, 1), (347, 1), (387, 1), (412, 1), (452, 1), (487, 1), (605, 1), (645, 1), (702, 1), (792, 1), (1347, 1), (1417, 1), (1470, 1), (1685, 1), (1929, 1), (2265, 1), (2602, 1), (2917, 1), (3034, 1), (3811, 1), (5272, 1), (6084, 1), (6318, 1), (6462, 1), (6463, 1), (6464, 1), (6465, 1), (6466, 1), (6467, 1)], [(8, 1), (56, 1), (106, 1), (3260, 1), (6468, 1)], [(7, 1), (8, 1), (18, 4), (19, 2), (20, 7), (22, 2), (23, 1), (25, 3), (31, 2), (45, 3), (50, 3), (53, 3), (65, 5), (90, 1), (109, 3), (193, 1), (215, 1), (240, 1), (307, 1), (347, 1), (373, 1), (412, 1), (463, 1), (505, 1), (709, 1), (884, 1), (936, 1), (1325, 1), (1485, 1), (1572, 1), (1578, 1), (1792, 1), (1853, 1), (1858, 1), (2255, 1), (2340, 1), (2453, 1), (3415, 1), (3623, 1), (3881, 1), (4249, 1), (4659, 1), (4729, 1), (5236, 1), (5583, 1), (5963, 1), (6318, 1), (6469, 1), (6470, 1), (6471, 1), (6472, 1), (6473, 1), (6474, 1), (6475, 1), (6476, 1), (6477, 1), (6478, 1), (6479, 1), (6480, 1), (6481, 1), (6482, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (23, 1), (25, 1), (31, 1), (45, 1), (50, 1), (51, 1), (53, 1), (65, 2), (242, 1), (273, 1), (346, 1), (347, 1), (365, 1), (412, 1), (531, 1), (811, 1), (827, 1), (1764, 1), (1996, 1), (2320, 1), (2841, 1), (3078, 1), (4105, 1), (6318, 1), (6483, 1), (6484, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (25, 1), (31, 1), (37, 1), (45, 1), (51, 1), (53, 2), (58, 1), (85, 1), (90, 1), (173, 1), (281, 1), (368, 1), (420, 1), (459, 1), (506, 1), (530, 1), (675, 1), (772, 1), (892, 1), (1102, 1), (1361, 1), (1506, 1), (1587, 1), (1884, 1), (2228, 1), (3052, 1), (3413, 1), (3495, 1), (4081, 1), (4442, 1), (6179, 1), (6485, 1), (6486, 1), (6487, 1), (6488, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (53, 1), (54, 1), (65, 1), (108, 1), (173, 1), (202, 1), (273, 1), (286, 1), (645, 1), (1613, 1), (1964, 1), (2320, 1), (3052, 1), (6269, 1), (6463, 1), (6489, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (36, 1), (45, 1), (50, 2), (63, 1), (85, 1), (91, 1), (173, 1), (193, 1), (233, 1), (256, 1), (531, 1), (538, 1), (600, 1), (608, 1), (711, 1), (812, 1), (1102, 1), (2320, 1), (2839, 1), (3083, 1), (6490, 1), (6491, 1), (6492, 1), (6493, 1)], [(8, 1), (18, 3), (19, 2), (20, 6), (21, 1), (25, 1), (45, 1), (54, 1), (65, 3), (96, 1), (99, 3), (111, 2), (166, 1), (172, 1), (193, 2), (220, 1), (262, 1), (287, 1), (353, 1), (415, 1), (516, 1), (608, 1), (812, 1), (1057, 1), (1572, 1), (1594, 1), (1695, 1), (1792, 1), (1901, 2), (2622, 1), (3013, 1), (3221, 1), (3419, 1), (3651, 1), (4795, 1), (6318, 1), (6474, 1), (6494, 1), (6495, 1), (6496, 1), (6497, 1)], [(8, 1), (25, 1), (30, 1), (307, 1), (4330, 1), (6498, 1), (6499, 1)], [(8, 1), (45, 1), (50, 1), (53, 1), (54, 1), (229, 1), (3000, 1), (3138, 1), (3808, 1), (6500, 1), (6501, 1), (6502, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (26, 1), (45, 3), (50, 1), (53, 1), (58, 1), (65, 1), (173, 1), (174, 1), (268, 2), (516, 1), (1498, 1), (1549, 1), (2340, 1), (3079, 1), (3103, 1), (3446, 1), (4058, 1), (4442, 1), (5716, 1), (6179, 1), (6503, 1), (6504, 1), (6505, 1), (6506, 1), (6507, 2), (6508, 1)], [(8, 1), (20, 2), (23, 2), (53, 3), (54, 1), (90, 1), (310, 1), (414, 1), (420, 1), (428, 1), (726, 1), (897, 1), (1699, 1), (1904, 1), (2153, 1), (2351, 1), (3138, 1), (4729, 1), (6186, 1), (6366, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (24, 1), (25, 3), (28, 1), (45, 1), (51, 1), (53, 1), (54, 1), (65, 1), (185, 1), (293, 1), (323, 1), (328, 1), (812, 1), (1227, 2), (1501, 1), (1995, 1), (2029, 1), (2036, 1), (2866, 1), (3121, 1), (3123, 1), (3382, 1), (5068, 1), (6318, 1), (6509, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 3), (25, 1), (30, 1), (31, 1), (45, 3), (54, 2), (65, 1), (109, 1), (173, 1), (186, 1), (414, 1), (459, 1), (621, 1), (725, 1), (903, 1), (1766, 1), (2340, 1), (3000, 1), (4298, 1), (4440, 1), (5176, 1), (6172, 1), (6474, 1), (6505, 1), (6510, 1), (6511, 1), (6512, 1), (6513, 1), (6514, 1), (6515, 1), (6516, 1)], [(20, 3), (58, 1), (64, 2), (193, 1), (1163, 1), (1458, 1), (1714, 1), (1904, 1), (2925, 1), (6186, 1), (6289, 1), (6318, 2)], [(8, 1), (19, 1), (20, 3), (32, 1), (53, 1), (108, 1), (172, 1), (217, 1), (526, 1), (607, 1), (609, 1), (834, 1), (1580, 1), (2344, 1), (4634, 1), (6517, 1), (6518, 1), (6519, 1)], [(20, 1), (295, 1), (946, 1), (1347, 1), (1348, 1), (3083, 1), (6318, 1)], [(8, 1), (19, 1), (20, 5), (25, 1), (45, 2), (51, 1), (109, 1), (174, 1), (179, 1), (186, 1), (209, 1), (433, 1), (504, 1), (506, 1), (654, 1), (744, 1), (1458, 1), (1638, 1), (2304, 1), (2539, 1), (2993, 1), (3140, 1), (3316, 1), (4296, 1), (6186, 1), (6318, 1), (6520, 1), (6521, 1), (6522, 1), (6523, 1)], [(19, 1), (20, 2), (36, 1), (64, 2), (66, 1), (84, 1), (117, 1), (173, 2), (232, 1), (233, 1), (645, 1), (709, 1), (1163, 1), (2490, 1), (6186, 1), (6318, 1), (6524, 1)], [(64, 1), (245, 1), (946, 1), (6288, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (233, 1), (506, 1), (1122, 1), (1574, 1), (1797, 1), (6318, 1), (6525, 1)], [(8, 1), (18, 1), (20, 1), (23, 2), (54, 1), (64, 1), (173, 1), (233, 1), (293, 1), (1163, 1), (5704, 1), (6269, 1), (6286, 1), (6526, 1)], [(20, 1), (30, 1), (50, 1), (64, 1), (295, 1), (342, 1), (596, 1), (946, 1), (1685, 1), (6318, 1)], [(8, 1), (233, 1), (6186, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (36, 1), (45, 1), (64, 1), (117, 1), (164, 1), (193, 1), (233, 1), (414, 1), (506, 1), (897, 1), (1163, 1), (1324, 1), (1685, 1), (1929, 1), (2348, 1), (2854, 1), (3305, 1), (6318, 1), (6525, 1), (6527, 1), (6528, 1), (6529, 1)], [(8, 1), (18, 1), (20, 3), (23, 2), (25, 1), (30, 1), (40, 1), (45, 1), (51, 2), (53, 1), (215, 1), (236, 1), (726, 1), (744, 1), (903, 1), (1613, 1), (2993, 1), (4036, 1), (5288, 1), (6186, 1), (6269, 1), (6530, 1)], [(8, 1), (20, 1), (23, 1), (233, 1), (301, 1), (506, 1), (527, 1), (1122, 1), (1308, 1), (1695, 1), (6531, 1)], [(8, 1), (18, 2), (20, 3), (25, 3), (30, 1), (32, 1), (53, 1), (117, 1), (193, 1), (232, 1), (307, 1), (430, 1), (709, 1), (725, 1), (884, 1), (912, 1), (1175, 1), (1377, 1), (1699, 1), (2258, 1), (2766, 1), (2995, 1), (3542, 1), (6186, 1), (6532, 1), (6533, 1)], [(8, 1), (19, 3), (23, 2), (53, 1), (54, 1), (55, 1), (58, 1), (71, 1), (96, 1), (108, 1), (193, 1), (285, 1), (342, 1), (1012, 1), (1149, 1), (1342, 1), (1488, 1), (2187, 1), (2859, 1), (2911, 1), (6534, 1), (6535, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (23, 1), (25, 1), (31, 1), (37, 1), (50, 3), (53, 6), (54, 1), (72, 1), (90, 2), (117, 1), (206, 1), (227, 1), (232, 1), (256, 1), (268, 1), (459, 1), (526, 1), (529, 1), (709, 1), (711, 1), (1325, 1), (1354, 1), (1642, 1), (2038, 1), (2096, 1), (2222, 1), (2245, 1), (2916, 1), (5521, 1), (5919, 2), (6184, 1), (6374, 1), (6536, 1), (6537, 1), (6538, 1), (6539, 1), (6540, 1), (6541, 1)], [(8, 1), (18, 3), (19, 2), (20, 7), (21, 1), (22, 1), (23, 5), (25, 1), (37, 2), (50, 2), (53, 5), (54, 2), (71, 2), (75, 1), (77, 1), (82, 1), (90, 6), (109, 1), (166, 1), (188, 1), (193, 2), (202, 1), (229, 1), (256, 1), (268, 1), (285, 1), (300, 1), (347, 1), (353, 1), (365, 1), (441, 1), (452, 1), (597, 1), (601, 1), (709, 1), (743, 1), (827, 1), (829, 1), (1131, 1), (1488, 1), (1540, 1), (1580, 1), (1596, 1), (2001, 1), (2030, 1), (2049, 1), (2096, 1), (2324, 2), (2839, 1), (4580, 1), (5642, 1), (6278, 1), (6536, 1), (6542, 2), (6543, 1), (6544, 1), (6545, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (23, 2), (25, 2), (50, 1), (53, 2), (54, 2), (58, 2), (82, 2), (85, 1), (96, 1), (97, 1), (108, 2), (117, 1), (172, 1), (269, 1), (285, 2), (331, 1), (347, 1), (414, 1), (419, 1), (504, 1), (527, 1), (601, 1), (609, 1), (711, 1), (833, 1), (886, 1), (1102, 1), (1172, 1), (1241, 1), (1248, 1), (1296, 1), (1363, 1), (1370, 1), (1488, 1), (1580, 1), (1824, 1), (1964, 1), (2031, 2), (2324, 1), (3633, 1), (4265, 1), (4311, 1), (6542, 1), (6546, 1), (6547, 1), (6548, 1), (6549, 1)], [(8, 1), (18, 3), (19, 1), (20, 1), (21, 1), (25, 1), (54, 2), (58, 1), (71, 1), (90, 1), (122, 1), (178, 2), (185, 1), (236, 1), (293, 1), (452, 1), (601, 1), (697, 2), (2785, 1), (6550, 1), (6551, 1), (6552, 1)], [(8, 1), (19, 1), (20, 2), (23, 2), (25, 2), (50, 2), (53, 2), (56, 1), (77, 1), (88, 1), (90, 1), (185, 1), (186, 1), (193, 1), (242, 3), (269, 1), (301, 1), (410, 1), (414, 1), (504, 1), (506, 1), (812, 1), (834, 1), (1351, 1), (1363, 1), (1529, 1), (1616, 1), (1723, 1), (1929, 1), (1981, 1), (2289, 1), (2306, 1), (2855, 1), (6106, 1), (6552, 1), (6553, 1)], [(8, 1), (18, 1), (20, 3), (23, 3), (50, 1), (53, 4), (54, 1), (65, 1), (71, 1), (82, 1), (90, 1), (172, 1), (217, 2), (236, 1), (256, 1), (285, 2), (347, 1), (387, 1), (410, 1), (885, 1), (2049, 1), (2324, 1), (2340, 1), (2816, 1), (2985, 1), (3053, 1), (4287, 1), (4580, 1), (6542, 1), (6554, 1), (6555, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (23, 1), (25, 3), (45, 1), (50, 4), (51, 1), (53, 6), (54, 1), (90, 2), (117, 1), (124, 1), (185, 1), (206, 1), (232, 1), (269, 1), (288, 1), (301, 1), (347, 1), (353, 1), (387, 1), (392, 1), (410, 1), (415, 1), (418, 1), (506, 1), (709, 1), (711, 1), (827, 1), (884, 1), (1241, 1), (1656, 1), (1853, 1), (1901, 1), (1904, 1), (2030, 1), (2095, 1), (2474, 1), (2479, 1), (2985, 1), (3610, 1), (4299, 1), (5551, 1), (5597, 1), (5978, 1), (6129, 1), (6186, 1), (6194, 1), (6308, 1), (6318, 1), (6539, 1), (6556, 1), (6557, 1), (6558, 1), (6559, 1), (6560, 1), (6561, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 2), (25, 1), (30, 1), (31, 1), (32, 1), (45, 2), (51, 1), (53, 3), (82, 1), (96, 1), (172, 1), (193, 2), (215, 2), (229, 1), (256, 1), (273, 1), (328, 1), (331, 1), (410, 1), (414, 1), (504, 1), (601, 1), (678, 1), (738, 1), (792, 1), (894, 1), (1354, 1), (1363, 1), (1587, 1), (1613, 1), (1929, 1), (3034, 1), (4298, 1), (4537, 1), (4713, 1), (4729, 1), (6129, 1), (6318, 1), (6562, 1), (6563, 1)], [(18, 1), (19, 3), (20, 6), (22, 1), (31, 1), (45, 2), (50, 1), (51, 1), (54, 2), (55, 1), (64, 1), (65, 1), (82, 1), (85, 1), (90, 1), (108, 1), (164, 1), (168, 1), (173, 1), (186, 1), (206, 1), (256, 1), (268, 1), (281, 1), (346, 1), (414, 1), (434, 1), (531, 1), (744, 1), (812, 1), (1139, 1), (1198, 1), (1370, 1), (1377, 1), (1529, 1), (1580, 1), (2049, 1), (2348, 1), (2863, 1), (2864, 1), (2870, 1), (2989, 1), (3121, 1), (3448, 1), (3577, 1), (5232, 1), (6186, 1), (6318, 2), (6528, 1), (6533, 1), (6564, 1), (6565, 1), (6566, 1), (6567, 1), (6568, 1), (6569, 1)], [(20, 3), (64, 2), (96, 2), (117, 1), (185, 1), (273, 1), (292, 1), (295, 1), (419, 1), (645, 1), (691, 1), (946, 1), (1075, 1), (1163, 1), (1904, 1), (2013, 1), (2235, 1), (2324, 1), (5181, 1), (6186, 1), (6318, 1)], [(20, 3), (25, 2), (53, 2), (54, 1), (58, 1), (64, 2), (65, 1), (71, 1), (117, 1), (252, 1), (256, 1), (278, 1), (285, 1), (289, 1), (321, 1), (454, 1), (759, 1), (828, 1), (1139, 1), (1163, 1), (1370, 1), (1685, 1), (3278, 1), (4192, 1), (6565, 1), (6570, 1), (6571, 1), (6572, 1), (6573, 1), (6574, 1), (6575, 1), (6576, 1), (6577, 1)], [(18, 1), (20, 3), (23, 1), (25, 1), (236, 1), (247, 1), (744, 1), (1370, 1), (2324, 1), (2785, 1)], [(25, 1), (53, 1), (65, 1), (247, 1), (321, 1), (828, 1), (4192, 1), (6577, 1)], [(8, 1), (20, 5), (23, 1), (25, 1), (51, 1), (82, 1), (90, 1), (99, 1), (108, 1), (186, 1), (214, 1), (226, 1), (228, 1), (269, 1), (292, 1), (1139, 1), (1370, 1), (1685, 1), (2013, 1), (6113, 1), (6318, 1), (6364, 1), (6565, 1), (6572, 1), (6575, 1), (6578, 1)], [(8, 1), (18, 5), (19, 1), (20, 7), (22, 2), (23, 2), (25, 5), (34, 1), (50, 3), (53, 5), (54, 1), (58, 2), (65, 3), (77, 2), (90, 3), (99, 2), (109, 1), (122, 1), (190, 2), (193, 2), (236, 1), (273, 1), (293, 1), (321, 5), (420, 1), (531, 1), (601, 1), (702, 1), (738, 1), (763, 1), (828, 3), (829, 1), (833, 1), (876, 1), (885, 1), (897, 1), (963, 1), (1102, 2), (1160, 1), (1172, 1), (1342, 1), (1370, 1), (1596, 1), (1824, 2), (2178, 1), (2785, 1), (2819, 1), (3652, 1), (3852, 1), (3901, 1), (3999, 1), (4165, 1), (4192, 1), (4265, 1), (6577, 3), (6579, 1), (6580, 1), (6581, 1), (6582, 1), (6583, 1)], [(19, 1), (20, 3), (64, 2), (82, 1), (185, 1), (247, 1), (261, 1), (324, 1), (357, 1), (645, 1), (1163, 1), (1845, 1), (2235, 1), (2853, 1), (2925, 1), (5684, 1), (6186, 1), (6286, 1), (6318, 1), (6584, 1)], [(66, 1), (90, 1), (124, 1), (172, 1), (173, 1), (203, 1), (833, 1)], [(20, 2), (22, 1), (25, 2), (29, 1), (45, 1), (64, 1), (65, 1), (66, 1), (71, 1), (77, 1), (108, 1), (190, 1), (233, 1), (261, 1), (324, 2), (328, 1), (414, 1), (441, 1), (654, 1), (828, 1), (897, 1), (1139, 1), (1163, 1), (1198, 1), (1458, 1), (2348, 1), (4192, 1), (5133, 1), (6318, 1), (6528, 1), (6577, 1), (6585, 1), (6586, 1)], [(19, 1), (20, 2), (23, 1), (30, 1), (53, 1), (64, 2), (90, 1), (108, 1), (233, 1), (242, 1), (247, 1), (295, 1), (310, 1), (809, 1), (1163, 1), (1248, 1), (1685, 1), (1764, 1), (2140, 1), (6186, 1), (6318, 1), (6587, 1)], [(20, 1), (23, 1), (24, 1), (66, 1), (273, 1), (1248, 1), (2324, 1), (6587, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (21, 2), (22, 1), (25, 4), (29, 1), (30, 1), (45, 1), (50, 3), (53, 4), (64, 1), (71, 1), (90, 1), (91, 1), (109, 1), (164, 1), (185, 2), (203, 1), (228, 1), (233, 1), (256, 1), (278, 1), (310, 1), (352, 1), (357, 3), (415, 1), (419, 2), (433, 1), (504, 1), (645, 1), (709, 1), (830, 1), (834, 2), (1127, 1), (1448, 1), (1574, 1), (1904, 1), (1931, 1), (2235, 1), (2557, 2), (3301, 1), (4223, 2), (5528, 1), (5597, 1), (6186, 1), (6318, 1), (6558, 1), (6588, 1), (6589, 1), (6590, 1), (6591, 1), (6592, 1)], [(20, 1), (24, 1), (25, 1), (65, 1), (66, 1), (321, 1), (828, 1), (1904, 1), (2324, 1), (4192, 1), (6186, 1), (6577, 1)], [(64, 1), (252, 1), (1178, 1), (6318, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (186, 1), (410, 1), (4729, 1), (4925, 1), (5728, 1), (6186, 1), (6593, 1)], [(18, 1), (19, 2), (20, 3), (23, 2), (31, 1), (32, 1), (40, 1), (53, 1), (64, 1), (66, 1), (71, 1), (90, 2), (206, 1), (285, 2), (295, 1), (347, 2), (410, 1), (504, 1), (709, 1), (880, 1), (1122, 1), (1904, 1), (1966, 1), (2206, 1), (2207, 1), (2228, 1), (2351, 1), (2910, 1), (3378, 1), (4841, 1), (4883, 1), (5760, 1), (6318, 1), (6594, 1), (6595, 1), (6596, 1), (6597, 1)], [(18, 1), (19, 1), (20, 6), (22, 2), (23, 2), (25, 1), (31, 1), (50, 1), (53, 2), (64, 2), (66, 1), (71, 2), (111, 1), (117, 1), (190, 1), (215, 1), (233, 1), (245, 1), (256, 2), (269, 1), (310, 1), (357, 1), (531, 1), (556, 1), (581, 1), (645, 1), (680, 1), (739, 1), (759, 1), (830, 1), (1163, 1), (1702, 1), (1760, 2), (1904, 3), (2145, 1), (2323, 1), (2548, 1), (2549, 1), (2862, 1), (3542, 1), (4588, 1), (4841, 2), (4883, 2), (5092, 1), (6186, 3), (6318, 1), (6413, 1), (6598, 1), (6599, 1), (6600, 1), (6601, 1), (6602, 1)], [(64, 1), (247, 1), (2549, 1), (6603, 1)], [(247, 1), (2548, 1), (2549, 1)], [(8, 1), (20, 2), (22, 1), (37, 1), (295, 2), (506, 2), (645, 1), (3763, 1), (5204, 1), (6416, 1), (6604, 2)], [(8, 1), (19, 2), (37, 1), (65, 1), (90, 1), (117, 2), (122, 1), (161, 1), (173, 1), (232, 2), (531, 1), (1432, 1), (1460, 1), (2145, 1), (2693, 1), (3804, 1), (6605, 1), (6606, 1)], [(25, 1), (247, 1), (6607, 1), (6608, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (21, 2), (23, 3), (25, 2), (37, 1), (45, 1), (55, 1), (65, 1), (90, 1), (117, 3), (256, 1), (273, 1), (349, 1), (414, 1), (506, 1), (1084, 1), (1458, 1), (1580, 1), (1628, 1), (2691, 1), (2854, 3), (3162, 1), (3476, 1), (5017, 1), (5657, 1), (6318, 1), (6609, 1)], [(18, 2), (20, 2), (21, 1), (50, 2), (53, 1), (55, 1), (65, 1), (295, 2), (1178, 1), (1229, 1), (1720, 1), (2457, 1), (3651, 1), (4670, 1), (4729, 1), (6474, 1), (6610, 1), (6611, 1), (6612, 1)], [(8, 1), (18, 2), (20, 3), (30, 1), (55, 1), (85, 1), (90, 1), (108, 1), (173, 2), (185, 1), (193, 1), (209, 1), (256, 1), (353, 1), (1342, 1), (2053, 1), (4937, 1), (5967, 1), (6318, 2), (6613, 1), (6614, 1), (6615, 1), (6616, 1)], [(8, 1), (18, 2), (19, 4), (20, 5), (23, 2), (25, 3), (31, 1), (37, 2), (50, 3), (53, 4), (54, 1), (109, 2), (185, 1), (186, 1), (193, 1), (268, 1), (293, 1), (307, 1), (323, 1), (353, 1), (418, 1), (488, 1), (597, 1), (691, 2), (709, 1), (1350, 1), (1594, 1), (2036, 1), (2151, 1), (2345, 1), (3072, 1), (3391, 1), (3402, 1), (3782, 1), (3867, 1), (4553, 1), (4657, 1), (5597, 1), (6186, 1), (6194, 1), (6318, 1), (6617, 1), (6618, 1), (6619, 1), (6620, 1), (6621, 1), (6622, 1), (6623, 1), (6624, 1), (6625, 1), (6626, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (50, 1), (53, 2), (82, 1), (172, 1), (173, 1), (301, 1), (310, 1), (414, 1), (452, 1), (903, 1), (1227, 1), (1272, 1), (1458, 1), (1580, 1), (1638, 1), (3999, 1), (5544, 1), (6366, 1), (6627, 1)], [(8, 1), (19, 1), (25, 1), (36, 1), (45, 1), (903, 1), (1929, 1), (2839, 1), (3831, 1), (6186, 1), (6598, 1)], [(8, 1), (18, 2), (20, 6), (25, 1), (30, 1), (31, 1), (45, 1), (108, 1), (124, 1), (173, 3), (209, 1), (215, 2), (268, 1), (278, 1), (310, 1), (328, 1), (337, 1), (347, 1), (504, 1), (516, 1), (708, 1), (884, 1), (903, 1), (1102, 1), (1227, 1), (1656, 1), (1702, 1), (3168, 1), (3564, 1), (6186, 1), (6628, 1), (6629, 1), (6630, 1), (6631, 1)], [(64, 1), (1178, 1), (6632, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 1), (117, 1), (170, 1), (173, 1), (193, 1), (232, 1), (342, 1), (708, 1), (1198, 1), (2344, 1), (6359, 1), (6633, 1), (6634, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (71, 1), (90, 1), (190, 1), (193, 1), (295, 1), (357, 1), (1379, 1), (2178, 1), (2839, 1), (6318, 1), (6533, 1), (6564, 1), (6635, 1)], [(8, 1), (53, 1), (65, 1), (226, 1), (1193, 1), (1899, 1), (2863, 1), (2864, 1), (6636, 1)], [(8, 1), (20, 1), (22, 1), (117, 1), (173, 1), (232, 1), (295, 1), (658, 1), (3612, 1), (6318, 1)], [(20, 3), (81, 1), (117, 2), (232, 1), (273, 1), (295, 1), (346, 1), (645, 1), (759, 1), (897, 1), (1580, 1), (1593, 1), (1714, 1), (2235, 1), (2498, 1), (4841, 1)], [(20, 3), (53, 1), (66, 1), (108, 1), (226, 1), (287, 1), (295, 1), (310, 1), (897, 1), (1248, 1), (1593, 1), (2013, 1), (2324, 1), (6587, 1)], [(18, 1), (19, 2), (20, 1), (21, 1), (23, 3), (30, 1), (55, 1), (64, 2), (65, 1), (172, 1), (233, 1), (278, 1), (292, 1), (310, 1), (323, 1), (506, 1), (709, 1), (842, 1), (946, 1), (1163, 1), (1904, 1), (3242, 1), (5288, 1), (6186, 1), (6524, 1)], [(8, 1), (64, 1), (71, 1), (233, 1), (553, 1), (1163, 1), (1541, 1), (6186, 1)], [(20, 1), (25, 1), (30, 2), (64, 1), (66, 1), (117, 1), (193, 1), (419, 1), (1170, 1), (2543, 1), (2854, 1), (6637, 1)], [(64, 1), (173, 1), (596, 1), (946, 1), (1747, 1), (2324, 1), (2853, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (97, 1), (109, 1), (164, 1), (173, 1), (186, 1), (217, 1), (224, 1), (347, 1), (1377, 1), (1458, 1), (6318, 1), (6638, 1), (6639, 1)], [(64, 1), (247, 1), (1583, 1)], [(8, 1), (20, 1), (90, 1), (233, 1), (245, 1), (410, 1), (812, 1), (1163, 1), (1594, 1), (6186, 1), (6318, 1)], [(40, 1), (58, 1), (64, 1), (161, 1), (173, 1), (946, 1), (6640, 1), (6641, 1)], [(8, 1), (19, 1), (506, 1), (1574, 1)], [(20, 1), (23, 1), (64, 1), (66, 1), (124, 1), (187, 1), (581, 1), (833, 1), (1904, 1), (5189, 1), (6186, 1), (6642, 1)], [(20, 1), (30, 1), (64, 1), (66, 1), (842, 1), (897, 1), (2013, 1), (2543, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 2), (25, 2), (53, 4), (54, 1), (90, 3), (117, 1), (232, 1), (256, 1), (331, 1), (337, 1), (347, 2), (506, 1), (527, 1), (608, 1), (708, 1), (709, 1), (914, 1), (1122, 1), (1187, 1), (2178, 1), (2206, 1), (2348, 1), (2926, 1), (3181, 1), (3387, 1), (3614, 1), (4467, 1), (6082, 1), (6129, 1), (6643, 1), (6644, 1)], [(7, 2), (8, 1), (18, 2), (19, 4), (20, 11), (22, 2), (23, 3), (25, 2), (31, 2), (37, 2), (45, 1), (50, 1), (53, 5), (54, 1), (55, 1), (65, 1), (71, 1), (77, 1), (82, 2), (85, 1), (88, 1), (90, 3), (95, 1), (108, 2), (111, 1), (161, 1), (172, 1), (173, 1), (190, 1), (193, 1), (206, 1), (214, 1), (228, 1), (256, 1), (275, 1), (283, 1), (289, 1), (293, 2), (301, 1), (347, 1), (365, 1), (410, 1), (414, 1), (416, 1), (420, 1), (504, 1), (506, 2), (569, 1), (586, 1), (709, 2), (752, 1), (813, 1), (1057, 1), (1102, 1), (1159, 2), (1325, 2), (1348, 1), (1363, 1), (1377, 2), (1451, 1), (1506, 1), (1534, 1), (1587, 1), (1747, 1), (1758, 1), (1824, 1), (1904, 1), (1972, 1), (2102, 1), (2267, 1), (2270, 1), (2272, 1), (2681, 1), (2757, 1), (2785, 1), (2855, 1), (2911, 1), (3419, 1), (3901, 1), (4062, 1), (4500, 1), (4591, 1), (4666, 1), (4990, 1), (5169, 1), (5368, 1), (5597, 1), (6105, 1), (6486, 1), (6645, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (30, 1), (45, 1), (58, 1), (77, 1), (172, 1), (193, 1), (215, 1), (240, 1), (307, 1), (428, 1), (1170, 1), (1354, 1), (1865, 1), (2029, 1), (2387, 1), (6646, 1), (6647, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (54, 1), (71, 1), (626, 1), (894, 1), (1139, 1), (1904, 2), (3911, 1), (6186, 1), (6315, 1), (6648, 1), (6649, 1)], [(50, 1), (64, 1), (96, 1), (331, 1), (357, 1), (1714, 1), (1904, 1), (2853, 1), (6286, 1), (6315, 1)], [(22, 1), (37, 1), (66, 1), (117, 1), (122, 1), (232, 1), (357, 1), (556, 1), (970, 1), (1966, 1), (3484, 1)], [(19, 1), (20, 1), (23, 1), (30, 1), (34, 1), (64, 1), (66, 1), (256, 1), (516, 1), (743, 1), (1778, 1)], [(8, 1), (19, 1), (23, 1), (64, 1), (71, 1), (117, 1), (193, 1), (301, 1), (342, 1), (357, 1), (759, 1), (1907, 1), (4296, 1), (6324, 1), (6650, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (23, 1), (25, 1), (30, 1), (50, 1), (53, 2), (55, 1), (96, 1), (117, 3), (173, 2), (232, 1), (256, 1), (293, 1), (688, 1), (759, 2), (813, 1), (1170, 1), (1196, 1), (1824, 1), (1907, 2), (1915, 1), (2127, 1), (2321, 1), (3034, 1), (3125, 1), (3164, 1)], [(8, 1), (20, 2), (22, 1), (117, 2), (173, 2), (240, 1), (256, 1), (268, 1), (359, 1), (759, 2), (974, 1), (1915, 1), (2011, 1), (2666, 1), (6651, 1)], [(8, 1), (20, 3), (23, 1), (34, 1), (117, 2), (173, 2), (190, 1), (245, 1), (288, 1), (293, 1), (506, 1), (645, 1), (759, 2), (1907, 1), (2029, 1), (2235, 1), (2442, 1), (3291, 1), (6652, 1)], [(8, 1), (18, 2), (20, 1), (21, 2), (36, 1), (52, 1), (117, 1), (232, 1), (256, 1), (269, 1), (293, 1), (342, 1), (448, 1), (645, 1), (1904, 1), (2178, 1), (6315, 1)], [(8, 1), (20, 2), (22, 1), (30, 1), (117, 1), (240, 1), (268, 2), (357, 1), (516, 1), (739, 2), (1583, 1), (1966, 1), (6653, 1)], [(8, 1), (18, 1), (20, 5), (22, 2), (36, 1), (65, 1), (99, 1), (117, 2), (173, 1), (232, 1), (240, 1), (256, 1), (289, 1), (420, 1), (516, 1), (645, 1), (759, 1), (830, 1), (886, 2), (897, 1), (1130, 1), (1747, 1), (1904, 1), (5077, 1), (6090, 1), (6315, 1), (6654, 1), (6655, 1)], [(8, 1), (19, 1), (20, 3), (22, 4), (31, 2), (45, 1), (53, 3), (71, 1), (117, 3), (187, 1), (215, 2), (217, 2), (232, 2), (240, 1), (295, 1), (435, 1), (627, 1), (767, 1), (833, 2), (1121, 1), (1379, 1), (1878, 1), (2440, 1), (2548, 1), (2839, 1), (3040, 1), (3410, 1), (6315, 2), (6656, 1), (6657, 1), (6658, 1), (6659, 1), (6660, 1), (6661, 1)], [(247, 1), (1379, 1), (3000, 1)], [(20, 1), (25, 1), (37, 1), (50, 1), (53, 2), (84, 1), (85, 1), (90, 1), (247, 1), (4390, 1), (4527, 1), (6662, 1), (6663, 1)], [(247, 1), (1583, 1)], [(18, 1), (20, 4), (22, 3), (25, 2), (50, 1), (51, 1), (54, 1), (117, 3), (119, 1), (173, 2), (268, 1), (357, 1), (447, 1), (759, 2), (1178, 1), (1858, 1), (1904, 2), (2011, 2), (3944, 1), (6186, 1), (6315, 1), (6318, 1), (6573, 1), (6664, 1), (6665, 1)], [(8, 1), (18, 1), (64, 1), (269, 1), (331, 1), (452, 1), (3066, 1)], [(20, 2), (45, 1), (53, 1), (54, 1), (82, 1), (90, 1), (447, 1), (711, 1), (792, 1), (946, 1), (1021, 1), (2086, 1), (2730, 1), (3013, 1), (4922, 1), (6666, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (21, 1), (31, 1), (45, 1), (55, 1), (64, 1), (69, 1), (90, 1), (220, 1), (233, 1), (506, 2), (1163, 1), (3280, 1), (4148, 3), (6186, 1), (6667, 1), (6668, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (64, 1), (90, 1), (273, 1), (295, 1), (414, 1), (812, 1), (1363, 1), (1670, 1), (4757, 1), (6129, 1)], [(8, 1), (58, 1), (273, 1), (3982, 1), (6669, 1)], [(8, 1), (81, 1), (82, 1), (792, 1), (1377, 1), (1904, 1), (6315, 1)], [(8, 1), (18, 2), (20, 3), (45, 1), (50, 1), (51, 1), (54, 1), (117, 1), (173, 1), (323, 1), (420, 1), (1308, 1), (1859, 1), (3689, 1), (4349, 1), (5555, 1), (6670, 1), (6671, 1), (6672, 1), (6673, 1), (6674, 1)], [(8, 1), (20, 2), (51, 1), (53, 2), (63, 1), (81, 1), (90, 1), (193, 1), (233, 1), (285, 1), (331, 1), (1824, 1), (5434, 1), (6675, 1), (6676, 1), (6677, 1), (6678, 1)], [(8, 1), (20, 2), (53, 1), (245, 1), (331, 1), (415, 1), (516, 1), (830, 1), (922, 1), (1159, 1), (1499, 1), (2145, 1), (6679, 1)], [(8, 1), (19, 1), (23, 1), (245, 1), (1177, 1), (6680, 1)], [(8, 1), (18, 1), (117, 1), (122, 1), (232, 1), (694, 1)], [(8, 1), (18, 4), (20, 3), (21, 4), (22, 2), (23, 3), (30, 2), (50, 1), (55, 1), (77, 1), (82, 1), (96, 1), (117, 2), (124, 1), (173, 1), (215, 1), (232, 1), (240, 1), (256, 1), (328, 1), (506, 1), (516, 2), (609, 1), (645, 3), (738, 1), (1157, 1), (1308, 1), (1572, 1), (1901, 1), (1904, 1), (2178, 4), (2228, 1), (3034, 2), (3069, 1), (6315, 1), (6318, 1), (6463, 1), (6681, 1)], [(8, 1), (18, 2), (20, 4), (22, 2), (23, 2), (25, 1), (31, 1), (34, 1), (45, 2), (50, 1), (53, 2), (54, 3), (58, 1), (85, 1), (90, 4), (108, 1), (161, 1), (173, 2), (215, 1), (256, 1), (269, 1), (290, 1), (410, 1), (414, 1), (443, 1), (452, 1), (601, 1), (812, 1), (884, 1), (1043, 1), (1587, 1), (1594, 1), (2132, 1), (2467, 1), (3034, 2), (3578, 1), (4390, 1), (4939, 1), (6682, 1), (6683, 1), (6684, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (21, 1), (22, 1), (23, 1), (25, 1), (37, 1), (40, 1), (45, 1), (50, 1), (90, 3), (95, 1), (117, 1), (173, 2), (190, 1), (217, 1), (232, 1), (256, 1), (275, 1), (278, 1), (482, 1), (605, 1), (708, 1), (795, 1), (1488, 1), (2344, 1), (2712, 1), (3034, 1), (3638, 1), (4209, 2), (4778, 1), (5501, 1), (6685, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (37, 1), (55, 1), (58, 1), (108, 1), (117, 1), (232, 1), (245, 2), (269, 1), (331, 1), (498, 1), (506, 1), (645, 1), (752, 1), (776, 1), (833, 1), (1296, 1), (1325, 1), (1987, 1), (2145, 1), (2178, 1), (2235, 1), (2954, 1), (4209, 1), (6686, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (21, 1), (25, 1), (65, 1), (81, 1), (82, 1), (172, 1), (173, 1), (241, 1), (245, 1), (1877, 1), (1904, 1), (2178, 1), (4722, 1), (4922, 1), (6315, 1), (6687, 1), (6688, 1)], [(8, 1), (18, 2), (20, 3), (21, 2), (82, 1), (173, 1), (225, 1), (1248, 1), (1451, 1), (1580, 1), (1781, 1), (1858, 1), (1903, 1), (3649, 1), (4167, 1), (6689, 1), (6690, 1)], [(7, 1), (18, 1), (20, 1), (22, 1), (31, 1), (50, 1), (51, 1), (71, 1), (90, 3), (161, 1), (225, 1), (266, 1), (295, 1), (328, 1), (392, 1), (581, 1), (645, 1), (897, 1), (1714, 1), (1867, 1), (3615, 1), (3677, 1), (4167, 1), (5811, 1), (6315, 1), (6689, 1), (6691, 1)], [(20, 5), (22, 1), (45, 1), (71, 1), (173, 1), (225, 1), (268, 1), (504, 1), (1165, 1), (1178, 1), (1580, 1), (2456, 1), (2639, 1), (4757, 1), (6315, 1), (6692, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (23, 2), (30, 1), (50, 3), (54, 1), (55, 1), (96, 1), (209, 1), (217, 1), (263, 1), (347, 1), (506, 2), (526, 1), (1324, 1), (1904, 1), (2168, 1), (2760, 1), (3330, 1), (6315, 1), (6693, 1), (6694, 1), (6695, 1), (6696, 1), (6697, 1), (6698, 1)], [(8, 1), (18, 2), (20, 4), (23, 2), (25, 1), (30, 1), (45, 1), (50, 1), (53, 2), (54, 1), (58, 1), (63, 1), (96, 1), (108, 2), (117, 1), (193, 1), (256, 1), (331, 1), (759, 1), (1342, 1), (1822, 1), (1907, 1), (3034, 1), (3331, 1), (3638, 1), (6490, 1), (6699, 1), (6700, 1), (6701, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (23, 3), (30, 1), (37, 1), (50, 2), (54, 2), (58, 1), (82, 2), (90, 1), (96, 1), (97, 1), (193, 1), (256, 1), (331, 1), (441, 1), (813, 1), (1072, 1), (1685, 1), (1824, 1), (1977, 3), (2127, 1), (2847, 1), (3034, 1), (3331, 1), (6702, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (23, 2), (25, 1), (30, 2), (31, 1), (46, 1), (54, 1), (58, 2), (82, 1), (96, 1), (173, 1), (193, 1), (215, 1), (293, 1), (301, 1), (433, 1), (506, 2), (516, 1), (792, 1), (897, 1), (903, 1), (1102, 1), (3254, 1), (3331, 2), (6703, 1), (6704, 1), (6705, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (90, 1), (108, 1), (193, 1), (293, 1), (406, 1), (415, 1), (459, 1), (1580, 2), (1594, 1), (2276, 1), (2387, 1), (3017, 1), (3132, 1), (4296, 1), (4442, 1), (5941, 1), (6315, 1)], [(1544, 1), (6706, 1)], [(8, 1), (24, 1), (6122, 1)], [(8, 1), (18, 4), (19, 3), (20, 7), (22, 2), (23, 2), (25, 3), (29, 1), (30, 1), (31, 4), (37, 1), (45, 1), (50, 5), (53, 3), (54, 1), (55, 1), (58, 1), (65, 2), (81, 1), (82, 2), (84, 1), (108, 1), (111, 2), (117, 2), (166, 1), (168, 1), (169, 1), (209, 1), (232, 2), (260, 1), (288, 1), (307, 1), (310, 1), (323, 1), (361, 1), (414, 1), (415, 2), (433, 2), (526, 1), (670, 1), (792, 1), (812, 1), (834, 1), (877, 1), (1057, 1), (1224, 1), (1328, 1), (1580, 1), (1594, 1), (1607, 1), (1641, 1), (1642, 1), (1824, 1), (1929, 1), (2017, 1), (2137, 1), (2950, 1), (3614, 1), (3724, 1), (3761, 1), (4222, 1), (4977, 1), (5342, 1), (5385, 1), (5937, 1), (6122, 1), (6491, 1), (6620, 1), (6707, 1), (6708, 1), (6709, 1), (6710, 1), (6711, 1), (6712, 1), (6713, 1), (6714, 1), (6715, 1), (6716, 1), (6717, 1), (6718, 1), (6719, 1), (6720, 1), (6721, 1), (6722, 1), (6723, 1), (6724, 1)], [(8, 1), (19, 1), (20, 4), (23, 1), (25, 2), (31, 1), (50, 1), (65, 1), (71, 1), (82, 2), (96, 1), (206, 2), (273, 1), (293, 1), (414, 1), (415, 1), (419, 1), (450, 1), (487, 1), (743, 1), (1350, 1), (1859, 1), (1877, 1), (1887, 1), (2178, 1), (2188, 1), (2751, 1), (3626, 1), (5259, 1), (5338, 1), (5347, 1), (5513, 1), (6048, 1), (6725, 1), (6726, 1)], [(20, 2), (25, 1), (32, 1), (45, 1), (50, 1), (53, 1), (54, 1), (90, 1), (96, 1), (219, 1), (256, 1), (351, 1), (407, 1), (410, 1), (1714, 1), (1902, 1), (3052, 1), (3614, 1), (6082, 1), (6122, 1), (6727, 1), (6728, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (23, 1), (25, 1), (30, 1), (54, 1), (71, 1), (96, 1), (173, 3), (236, 1), (328, 1), (410, 1), (498, 1), (903, 1), (1644, 1), (1723, 1), (2442, 1), (2656, 1), (3614, 1)], [(8, 1), (20, 2), (21, 2), (22, 1), (23, 1), (25, 3), (30, 2), (37, 2), (53, 1), (55, 1), (63, 1), (71, 1), (82, 1), (84, 1), (108, 1), (172, 1), (214, 1), (273, 1), (285, 1), (392, 1), (410, 1), (414, 1), (419, 1), (434, 1), (498, 1), (706, 1), (1854, 1), (2758, 1), (2849, 1), (3399, 1), (4618, 1), (4839, 1), (4975, 1), (6162, 1), (6729, 1), (6730, 1), (6731, 1), (6732, 1), (6733, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 2), (25, 2), (37, 1), (45, 2), (53, 1), (71, 1), (90, 1), (186, 1), (193, 1), (203, 1), (256, 1), (268, 1), (420, 1), (777, 1), (2084, 1), (2105, 1), (2345, 1), (2348, 1), (2743, 1), (2917, 1), (3331, 1), (5582, 1), (6734, 1), (6735, 1), (6736, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (54, 1), (58, 2), (256, 1), (430, 1), (3125, 1), (3333, 1), (6737, 1)], [(8, 1), (23, 1), (37, 1), (53, 1), (64, 1), (65, 1), (92, 1), (233, 1), (1163, 1), (1689, 1), (1889, 1), (2418, 1), (3064, 1), (3614, 1), (3718, 1)], [(20, 1), (23, 1), (64, 1), (247, 1), (273, 1), (3614, 1)], [(99, 1), (117, 1), (759, 1), (886, 1), (1714, 1), (1907, 1), (2149, 1)], [(21, 1), (23, 1), (66, 1), (117, 1), (122, 1), (232, 1), (1593, 1)], [(8, 1), (37, 1), (215, 1), (301, 1), (307, 1), (1702, 1), (5169, 1)], [(8, 1), (19, 1), (23, 1), (265, 1), (2911, 1), (5567, 1)], [(8, 1), (22, 1), (23, 2), (30, 1), (172, 1), (173, 1), (236, 1), (347, 2), (531, 1), (601, 1), (744, 1), (1271, 1), (1342, 1), (4846, 1), (4896, 1), (6738, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (25, 1), (50, 1), (53, 4), (54, 1), (65, 2), (92, 1), (256, 2), (269, 1), (360, 1), (428, 1), (531, 1), (1889, 2), (2304, 1), (2345, 1), (2464, 1), (2743, 1), (3064, 2), (3657, 1), (4602, 1), (6001, 1), (6739, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (34, 1), (50, 3), (53, 3), (65, 1), (124, 1), (166, 1), (256, 1), (527, 1), (1239, 1), (1308, 1), (1363, 1), (1596, 1), (2318, 1), (2471, 1), (2688, 1)], [(8, 1), (19, 2), (20, 2), (23, 1), (30, 1), (50, 1), (53, 5), (54, 1), (84, 1), (97, 1), (109, 1), (117, 1), (232, 1), (305, 1), (307, 1), (347, 1), (771, 1), (1667, 1), (2259, 1), (2457, 1), (2688, 1), (2917, 1), (3614, 1), (3883, 1), (4287, 1), (4457, 1), (4854, 1), (6740, 1), (6741, 1), (6742, 1)], [(8, 1), (20, 5), (22, 1), (23, 1), (25, 2), (53, 1), (58, 1), (71, 1), (111, 1), (117, 1), (161, 1), (173, 2), (193, 1), (203, 1), (226, 1), (232, 1), (236, 1), (256, 1), (268, 1), (378, 1), (605, 1), (654, 1), (658, 1), (695, 1), (812, 1), (908, 1), (1450, 1), (1729, 1), (2259, 1), (2774, 1), (2847, 1), (2914, 1), (3125, 1), (4299, 1), (6743, 1)], [(64, 1), (1178, 1), (3614, 2), (3786, 1)], [(8, 1), (21, 1), (37, 1), (1702, 1)], [(8, 1), (172, 1), (203, 1), (5729, 1), (6744, 1)], [(247, 1), (6745, 1)], [(8, 1), (19, 1), (22, 1), (23, 1), (53, 1), (58, 1), (256, 1), (430, 1), (2345, 1), (3333, 1), (4116, 1), (6746, 1), (6747, 1)], [(8, 1), (19, 1), (20, 1), (21, 1), (23, 2), (53, 2), (65, 1), (310, 1), (763, 1), (1580, 1), (3118, 1), (3138, 1), (3297, 1), (3914, 1), (4832, 1), (6740, 1), (6748, 1), (6749, 1), (6750, 1)], [(64, 1), (247, 1), (6751, 1)], [(1178, 1), (6752, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (64, 1), (71, 1), (203, 1), (236, 1), (1196, 1), (1322, 1), (1901, 1), (2925, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (22, 2), (23, 1), (25, 3), (40, 1), (53, 2), (54, 1), (58, 1), (71, 1), (82, 1), (117, 1), (217, 1), (232, 1), (293, 1), (337, 1), (605, 1), (885, 1), (1689, 1), (1731, 1), (2030, 1), (2345, 1), (2348, 1), (2471, 1), (3962, 1), (4851, 1), (6753, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (31, 1), (71, 1), (99, 1), (108, 1), (170, 1), (236, 1), (301, 1), (324, 1), (347, 1), (708, 1), (830, 1), (2479, 1), (3214, 1), (3655, 1), (4726, 1), (4851, 1)], [(247, 1), (6751, 1)], [(20, 1), (117, 1), (242, 1), (247, 1), (3786, 1), (5988, 1), (6752, 1), (6754, 1)], [(247, 1), (6755, 1)], [(8, 1), (247, 1), (5929, 1), (5977, 1)], [(1178, 1), (6756, 1)], [(8, 1), (20, 2), (21, 1), (23, 1), (25, 1), (53, 1), (55, 1), (206, 1), (433, 1), (1322, 1), (2224, 1), (3611, 1), (4782, 1), (5995, 1)], [(8, 2), (18, 2), (19, 1), (20, 3), (25, 2), (31, 2), (50, 1), (53, 3), (55, 1), (65, 2), (75, 1), (109, 1), (269, 1), (411, 1), (415, 1), (884, 1), (1159, 1), (1324, 1), (1498, 1), (1627, 1), (1731, 1), (1858, 1), (1980, 1), (2158, 1), (2401, 1), (2716, 1), (3526, 1), (4983, 1), (5929, 1), (5974, 1), (5977, 1), (6757, 1), (6758, 1), (6759, 1), (6760, 1)], [(64, 1), (65, 1), (1178, 1), (2321, 1), (6761, 1)], [(19, 1), (20, 1), (23, 1), (58, 1), (64, 1), (97, 1), (697, 1), (1714, 1), (2925, 1)], [(19, 1), (20, 1), (21, 1), (25, 1), (53, 3), (108, 1), (117, 1), (232, 1), (247, 1), (332, 1), (430, 1), (1901, 1), (2345, 1), (3102, 1), (3124, 1), (3786, 1), (4076, 2), (6762, 1), (6763, 1)], [(18, 1), (22, 1), (58, 1), (117, 1), (173, 1), (232, 1), (281, 1), (347, 1), (1025, 1), (1178, 1), (2844, 1)], [(8, 2), (20, 2), (21, 1), (23, 1), (25, 3), (50, 1), (53, 2), (54, 1), (65, 3), (186, 1), (259, 1), (293, 1), (420, 1), (1159, 1), (1458, 1), (1980, 1), (3091, 1), (3297, 1), (3666, 1), (3700, 1), (4289, 1), (5929, 1), (5977, 1), (6116, 1), (6758, 1), (6759, 1), (6760, 1), (6764, 1), (6765, 1), (6766, 1)], [(20, 1), (53, 1), (55, 1), (64, 1), (99, 1), (117, 1), (232, 1), (596, 1), (645, 1), (946, 1), (1196, 1), (2235, 1)], [(53, 1), (64, 1), (247, 1), (4076, 1), (5975, 1)], [(20, 3), (23, 1), (53, 1), (58, 1), (108, 1), (117, 1), (232, 1), (269, 1), (286, 1), (332, 1), (430, 1), (448, 1), (742, 1), (1178, 1), (1529, 1), (3102, 1), (6763, 1), (6767, 1)], [(19, 1), (20, 2), (22, 2), (50, 1), (53, 2), (64, 2), (65, 1), (75, 1), (99, 1), (161, 1), (172, 1), (214, 1), (215, 1), (226, 2), (233, 1), (269, 1), (293, 1), (310, 1), (410, 1), (430, 1), (946, 1), (1081, 1), (1163, 1), (1170, 1), (1580, 1), (1670, 1), (1981, 1), (2472, 1), (3914, 1), (6741, 1), (6758, 1), (6760, 1), (6768, 1), (6769, 1)], [(8, 1), (21, 1), (25, 1), (55, 1), (90, 1), (1069, 1), (1322, 1), (1580, 1), (6770, 1)], [(53, 1), (55, 1), (64, 1), (99, 1), (117, 1), (232, 1), (596, 1), (1196, 1), (1714, 1)], [(20, 1), (53, 1), (55, 1), (99, 1), (117, 1), (232, 1), (596, 1), (946, 1), (1196, 1), (2993, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (53, 1), (195, 1), (215, 2), (256, 1), (359, 1), (580, 1), (1159, 1), (1305, 1), (1450, 1), (2985, 1), (3200, 1), (3352, 1), (6771, 1)], [(19, 1), (20, 1), (22, 1), (50, 1), (53, 1), (65, 1), (108, 1), (247, 1), (269, 1), (531, 1), (632, 1), (897, 1), (1159, 1), (1165, 1), (1198, 1), (1322, 1), (1569, 1), (1570, 1), (5176, 1), (6758, 1), (6760, 1), (6772, 1), (6773, 1), (6774, 1)], [(23, 2), (58, 2), (66, 1), (117, 1), (182, 1), (328, 1), (605, 1), (759, 1), (2140, 1), (6775, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (90, 1), (117, 1), (232, 1), (506, 1), (772, 1), (884, 1), (1322, 1), (1487, 1), (2259, 1), (3297, 1), (3316, 1), (3614, 1), (4758, 1), (5965, 1), (6748, 1), (6776, 1), (6777, 1)], [(8, 1), (36, 1), (64, 1), (117, 1), (232, 1), (461, 1), (1163, 1), (1322, 1), (1377, 1), (2925, 1)], [(8, 1), (21, 1), (45, 1), (50, 1), (53, 1), (58, 1), (64, 1), (71, 1), (117, 2), (122, 1), (178, 1), (190, 1), (232, 1), (328, 1), (332, 1), (378, 1), (622, 1), (777, 1), (1458, 1), (1580, 1), (2265, 1), (2321, 1), (2500, 1), (3181, 1), (3307, 1), (3689, 1), (3786, 1), (6063, 1), (6069, 1), (6778, 1)], [(18, 1), (53, 1), (178, 1), (1714, 1), (4757, 1), (5615, 1), (6640, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (25, 2), (30, 1), (31, 1), (53, 2), (55, 1), (90, 1), (117, 1), (193, 1), (215, 1), (226, 1), (232, 1), (240, 1), (268, 2), (287, 1), (328, 1), (506, 1), (601, 1), (776, 1), (810, 1), (1093, 1), (1198, 1), (1323, 1), (1683, 1), (2145, 1), (2306, 1), (2479, 1), (3634, 1), (3969, 1), (6689, 1), (6779, 1), (6780, 1), (6781, 1), (6782, 1), (6783, 1), (6784, 1), (6785, 1)], [(1714, 1), (5722, 1)], [(19, 1), (24, 1), (45, 1), (71, 1), (247, 1), (345, 1), (6786, 1), (6787, 1)], [(90, 1), (117, 1), (232, 1), (328, 1), (596, 1), (1433, 1), (1714, 1)], [(20, 2), (328, 1), (645, 1), (1178, 1), (2235, 1), (2705, 1), (2829, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 1), (54, 1), (186, 1), (215, 1), (331, 1), (337, 1), (430, 1), (506, 2), (774, 1), (1322, 1), (1458, 1), (2345, 1), (2870, 1), (3480, 1), (6411, 1)], [(8, 1), (22, 1), (23, 2), (58, 1), (64, 1), (117, 2), (172, 1), (759, 2), (1580, 1), (1907, 1), (3291, 1), (3920, 1), (6788, 1), (6789, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (108, 1), (109, 1), (117, 1), (226, 1), (232, 1), (269, 1), (328, 1), (410, 1), (1678, 1), (6790, 1), (6791, 1)], [(301, 1), (1178, 1), (2829, 1)], [(18, 1), (20, 2), (22, 1), (23, 1), (31, 1), (34, 1), (64, 1), (65, 1), (66, 1), (75, 1), (90, 1), (117, 3), (226, 1), (232, 2), (498, 1), (632, 1), (1159, 2), (1889, 1), (1981, 1), (2292, 1), (2854, 1), (3182, 1), (4896, 1)], [(20, 2), (22, 1), (31, 1), (53, 1), (55, 1), (58, 1), (90, 1), (247, 1), (256, 1), (331, 1), (1322, 1), (2406, 1), (2637, 1), (4844, 1)], [(8, 1), (117, 1), (232, 1), (388, 1), (3123, 1), (3614, 1), (5169, 1), (6792, 1), (6793, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (22, 1), (23, 3), (25, 2), (53, 3), (54, 1), (55, 1), (58, 1), (64, 1), (82, 1), (108, 1), (109, 1), (193, 1), (233, 1), (256, 1), (263, 1), (305, 1), (310, 2), (420, 1), (430, 1), (506, 1), (743, 1), (774, 1), (884, 1), (1149, 1), (1159, 2), (1163, 1), (1458, 1), (2178, 1), (2570, 1), (2812, 1), (3189, 1), (3356, 1), (3480, 1), (3594, 1), (4116, 1), (4937, 1), (5384, 1), (5657, 1), (6316, 1), (6741, 1), (6788, 1), (6794, 1), (6795, 1)], [(18, 1), (19, 1), (20, 3), (22, 1), (25, 2), (53, 5), (247, 1), (305, 1), (314, 1), (328, 1), (430, 1), (1068, 1), (1433, 1), (1712, 1), (2178, 1), (2345, 1), (2688, 1), (3095, 1), (3296, 1), (4853, 1), (5710, 1), (6796, 1), (6797, 1)], [(8, 1), (20, 2), (22, 2), (25, 2), (31, 1), (45, 2), (50, 2), (53, 2), (65, 1), (253, 1), (328, 1), (414, 2), (706, 1), (970, 1), (1005, 1), (1227, 1), (2290, 1), (2541, 1), (2743, 1), (3197, 1), (3540, 1), (3614, 1), (6082, 1), (6798, 1), (6799, 1), (6800, 1)], [(8, 1), (18, 2), (20, 1), (36, 1), (50, 1), (53, 1), (55, 1), (256, 1), (269, 1), (415, 1), (505, 1), (516, 1), (697, 2), (936, 1), (1227, 1), (1882, 1), (1911, 1), (2304, 1), (2306, 1), (2858, 1), (3849, 1), (3919, 1)], [(19, 1), (20, 3), (23, 1), (30, 1), (53, 1), (55, 1), (64, 2), (96, 1), (99, 1), (117, 1), (186, 1), (232, 1), (233, 1), (946, 1), (1163, 1), (1196, 1), (1764, 1), (3614, 2)], [(18, 1), (20, 1), (36, 1), (37, 1), (64, 1), (117, 2), (173, 1), (217, 1), (225, 1), (293, 1), (361, 1), (759, 1), (946, 1), (6801, 1), (6802, 1)], [(8, 1), (53, 1), (233, 1), (6741, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 2), (23, 1), (25, 1), (30, 2), (31, 1), (37, 2), (45, 2), (50, 2), (54, 1), (58, 2), (69, 2), (82, 1), (85, 1), (98, 1), (108, 2), (111, 1), (166, 1), (173, 1), (215, 2), (217, 1), (233, 1), (278, 1), (293, 3), (301, 1), (347, 1), (419, 2), (456, 1), (516, 1), (654, 1), (777, 1), (903, 1), (1483, 1), (1613, 1), (1665, 1), (1760, 1), (1764, 1), (2397, 1), (3331, 1), (3743, 1), (4479, 1), (5378, 1), (6803, 1), (6804, 1), (6805, 1), (6806, 1), (6807, 1), (6808, 1), (6809, 1), (6810, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 2), (25, 1), (34, 1), (37, 1), (64, 2), (66, 1), (99, 1), (117, 1), (173, 1), (185, 1), (190, 1), (193, 1), (232, 1), (233, 1), (291, 1), (293, 1), (434, 1), (504, 1), (1149, 1), (1163, 1), (2847, 1), (3762, 1), (3810, 1), (5929, 1), (5977, 1), (6112, 1), (6811, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (22, 1), (23, 1), (31, 1), (53, 2), (88, 1), (256, 1), (281, 2), (1823, 1), (2345, 1), (2597, 1), (3108, 1), (3614, 1), (5468, 1), (6741, 1), (6812, 1)], [(8, 1), (18, 2), (20, 3), (21, 2), (22, 1), (25, 2), (31, 1), (37, 2), (53, 1), (82, 1), (98, 1), (108, 1), (166, 1), (173, 3), (193, 1), (260, 1), (273, 1), (285, 1), (351, 1), (506, 1), (697, 1), (1170, 1), (1227, 1), (1580, 2), (1685, 1), (1911, 3), (2034, 1), (3546, 1), (3770, 1), (3999, 1), (4295, 1), (5234, 1), (5515, 1), (6813, 1), (6814, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 2), (31, 1), (45, 2), (50, 1), (71, 1), (90, 1), (185, 1), (236, 1), (414, 1), (450, 1), (504, 1), (581, 1), (697, 1), (711, 1), (1365, 1), (1596, 1), (1685, 1), (1733, 1), (2202, 1), (4941, 1), (5429, 1), (6122, 1), (6799, 1)], [(8, 1), (20, 5), (22, 3), (23, 1), (30, 1), (45, 1), (50, 1), (58, 1), (71, 1), (111, 1), (117, 2), (122, 1), (173, 1), (186, 1), (203, 1), (232, 1), (240, 1), (268, 1), (293, 1), (498, 1), (597, 1), (897, 1), (1596, 1), (1615, 1), (2442, 1), (2656, 1), (2854, 1), (3162, 1), (4793, 1), (6815, 1), (6816, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 1), (25, 2), (40, 1), (45, 1), (58, 1), (108, 1), (117, 3), (122, 1), (232, 1), (332, 1), (452, 1), (581, 1), (759, 2), (776, 1), (897, 1), (1140, 1), (1308, 1), (1907, 1), (2048, 1), (2344, 1), (3036, 1), (3612, 1), (6122, 1), (6817, 1)], [(8, 1), (19, 1), (23, 1), (310, 1), (2348, 1), (2852, 1)], [(7, 1), (8, 1), (10, 1), (18, 5), (19, 6), (20, 6), (23, 1), (31, 2), (45, 1), (50, 2), (53, 4), (58, 1), (65, 3), (72, 1), (77, 1), (90, 1), (109, 1), (111, 1), (117, 1), (172, 1), (174, 2), (185, 1), (186, 1), (203, 1), (206, 1), (215, 1), (287, 1), (323, 1), (337, 1), (347, 1), (443, 1), (448, 1), (702, 1), (711, 1), (985, 1), (1057, 1), (1116, 1), (1239, 1), (1241, 1), (1308, 1), (1342, 2), (1444, 1), (1485, 1), (1488, 2), (1541, 1), (1731, 1), (1740, 1), (1929, 1), (2076, 1), (2096, 1), (2348, 1), (2397, 1), (2471, 1), (3026, 1), (3052, 1), (3072, 1), (3210, 1), (3297, 1), (3359, 1), (3614, 1), (5574, 1), (6122, 1), (6818, 1), (6819, 1), (6820, 1), (6821, 1), (6822, 2), (6823, 2), (6824, 1), (6825, 1), (6826, 1)], [(8, 1), (22, 2), (23, 1), (30, 1), (54, 1), (82, 1), (173, 2), (268, 1), (301, 1), (328, 1), (347, 2), (531, 1), (1139, 1), (1656, 1), (1731, 1), (3745, 1), (6827, 1)], [(8, 1), (18, 2), (19, 2), (20, 1), (22, 1), (23, 1), (25, 2), (30, 1), (31, 1), (37, 1), (45, 2), (50, 1), (53, 1), (55, 1), (58, 1), (71, 1), (265, 1), (293, 1), (328, 1), (361, 1), (414, 2), (706, 1), (903, 1), (924, 1), (1224, 1), (1350, 1), (2275, 1), (2397, 1), (2541, 1), (2743, 1), (2911, 1), (3879, 1), (4100, 1), (6799, 1), (6828, 1), (6829, 1), (6830, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (64, 1), (117, 1), (172, 1), (186, 2), (232, 1), (286, 1), (448, 1), (1001, 1), (1615, 2), (1865, 1), (2852, 1), (3102, 1), (3614, 1), (5158, 1)], [(20, 1), (22, 1), (66, 1), (99, 1), (117, 2), (810, 1), (1865, 1), (2705, 1), (2854, 2), (3614, 1), (6831, 1)], [(8, 1), (18, 1), (82, 1), (98, 1), (173, 1), (301, 1), (792, 1), (6574, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (22, 1), (23, 1), (25, 2), (30, 1), (50, 1), (173, 1), (268, 1), (285, 1), (287, 1), (307, 1), (334, 1), (506, 1), (597, 1), (1529, 1), (1799, 1), (2471, 1), (3523, 1), (4299, 1), (6113, 1), (6832, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (23, 1), (25, 2), (30, 1), (31, 1), (45, 1), (58, 2), (71, 1), (173, 1), (215, 1), (256, 1), (301, 1), (347, 1), (414, 1), (452, 1), (527, 1), (777, 1), (966, 1), (1122, 1), (1175, 1), (1224, 1), (1574, 1), (1580, 1), (1667, 1), (2275, 1), (2354, 1), (3360, 2), (3378, 1), (4218, 1), (6833, 1)], [(8, 1), (20, 2), (23, 2), (37, 1), (53, 1), (82, 1), (166, 1), (285, 1), (286, 1), (428, 1), (448, 1), (1342, 1), (1615, 1), (1685, 1), (3375, 1), (6834, 1)], [(8, 1), (20, 1), (21, 2), (22, 2), (23, 1), (25, 2), (31, 2), (50, 1), (53, 3), (70, 1), (82, 1), (85, 1), (90, 1), (175, 1), (185, 1), (236, 1), (328, 1), (347, 1), (353, 1), (404, 1), (506, 1), (704, 1), (708, 1), (2055, 1), (2275, 1), (2276, 1), (2357, 1), (2397, 1), (3226, 1), (3614, 1), (4744, 1), (5378, 1), (6835, 1), (6836, 1)], [(18, 1), (20, 1), (22, 1), (31, 2), (37, 1), (45, 1), (50, 1), (53, 1), (55, 1), (58, 1), (185, 1), (247, 1), (414, 1), (922, 1), (1224, 1), (1270, 1), (2095, 1), (2285, 1), (2743, 1), (2994, 1), (3560, 1), (3723, 1), (6122, 1), (6691, 1), (6799, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 1), (25, 1), (50, 1), (53, 2), (63, 1), (124, 1), (173, 1), (193, 1), (215, 1), (217, 1), (301, 1), (310, 1), (328, 1), (347, 1), (361, 1), (420, 1), (504, 1), (527, 1), (708, 1), (777, 1), (1057, 1), (1644, 1), (1695, 1), (2344, 1), (3189, 1), (3274, 1), (3527, 1), (3614, 1), (5011, 1), (6837, 1), (6838, 1)], [(8, 1), (18, 1), (20, 3), (22, 3), (23, 1), (25, 2), (45, 2), (50, 1), (53, 2), (54, 1), (55, 2), (173, 1), (186, 1), (215, 2), (233, 1), (256, 1), (301, 1), (305, 1), (433, 1), (506, 1), (763, 1), (777, 1), (1139, 1), (1170, 1), (1458, 1), (1627, 1), (2324, 1), (2492, 1), (2495, 1), (2731, 1), (2831, 1), (2948, 1), (3083, 1), (3426, 1), (4032, 1), (4484, 1), (5312, 1), (6122, 1), (6839, 1), (6840, 1), (6841, 1)], [(8, 1), (19, 1), (20, 5), (23, 2), (58, 3), (71, 1), (82, 1), (90, 2), (96, 1), (111, 1), (117, 2), (161, 2), (172, 1), (174, 1), (215, 2), (232, 1), (268, 1), (293, 1), (307, 1), (346, 1), (415, 2), (441, 1), (759, 1), (810, 1), (830, 1), (1747, 1), (1877, 1), (1907, 1), (2048, 1), (3138, 4), (5583, 1), (6465, 1), (6604, 1), (6842, 1)], [(8, 1), (18, 2), (19, 3), (20, 2), (22, 3), (23, 1), (25, 2), (30, 2), (31, 2), (50, 1), (53, 1), (55, 1), (58, 2), (77, 1), (88, 1), (90, 1), (117, 1), (168, 1), (185, 1), (232, 1), (301, 1), (342, 1), (420, 2), (531, 1), (645, 1), (897, 1), (1012, 1), (1287, 1), (1342, 1), (2044, 1), (2055, 1), (2241, 1), (2289, 1), (3038, 1), (3782, 1), (4033, 1), (4062, 1), (6465, 1), (6843, 1), (6844, 1), (6845, 1), (6846, 1), (6847, 1), (6848, 1)], [(8, 1), (23, 1), (32, 1), (55, 1), (293, 1), (331, 1), (792, 1), (1731, 1), (3614, 1)], [(19, 1), (20, 2), (23, 1), (25, 2), (32, 1), (64, 2), (66, 1), (233, 1), (428, 1), (506, 1), (694, 1), (1163, 1), (1615, 1), (2471, 1), (3614, 1), (5077, 1)], [(8, 1), (19, 3), (20, 8), (22, 3), (23, 2), (25, 4), (31, 2), (37, 1), (50, 3), (53, 7), (55, 1), (65, 1), (90, 1), (97, 1), (108, 2), (206, 1), (309, 1), (310, 1), (414, 1), (459, 1), (897, 1), (1342, 2), (1485, 1), (1628, 1), (1975, 1), (2148, 1), (2274, 1), (2275, 1), (2348, 1), (2440, 1), (2954, 1), (3161, 1), (3226, 1), (3363, 1), (3557, 1), (3614, 1), (3852, 1), (4296, 1), (4591, 1), (4872, 1), (6067, 1), (6849, 1), (6850, 1), (6851, 1), (6852, 1), (6853, 1), (6854, 1), (6855, 1), (6856, 1), (6857, 1), (6858, 1), (6859, 1), (6860, 2), (6861, 1), (6862, 1)], [(8, 1), (19, 1), (20, 5), (23, 1), (25, 1), (30, 2), (31, 1), (32, 1), (34, 1), (45, 1), (50, 1), (58, 1), (90, 1), (173, 1), (185, 1), (278, 1), (293, 1), (410, 1), (415, 1), (452, 1), (487, 1), (506, 2), (531, 1), (744, 1), (772, 1), (827, 1), (2712, 1), (3541, 1), (5220, 1), (5272, 1), (6122, 1), (6671, 1), (6863, 1), (6864, 1), (6865, 2), (6866, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (23, 1), (25, 1), (26, 1), (31, 2), (37, 1), (50, 1), (53, 2), (65, 1), (71, 1), (203, 1), (1350, 1), (1903, 1), (3132, 1), (4062, 1), (4336, 1), (4674, 1), (4941, 1), (5200, 1), (5339, 1), (6125, 1), (6867, 1), (6868, 1), (6869, 1), (6870, 1)], [(8, 1), (53, 1), (77, 1), (106, 1), (407, 1), (410, 1), (450, 1), (744, 1), (1641, 1), (2149, 1), (2197, 1), (5262, 1), (6232, 1), (6728, 1), (6871, 1), (6872, 1)], [(7, 1), (8, 1), (20, 3), (22, 2), (23, 1), (25, 1), (53, 1), (65, 1), (77, 1), (92, 1), (98, 1), (233, 1), (269, 1), (359, 1), (414, 1), (531, 2), (605, 1), (763, 1), (897, 1), (1432, 1), (1964, 1), (2151, 1), (3614, 1), (5339, 1), (6222, 1), (6851, 1), (6873, 1), (6874, 1), (6875, 1), (6876, 1), (6877, 1), (6878, 1), (6879, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (31, 1), (40, 1), (53, 1), (54, 1), (55, 1), (58, 1), (88, 1), (90, 1), (166, 1), (173, 2), (293, 1), (452, 1), (490, 1), (602, 1), (897, 1), (1377, 1), (2151, 1), (3614, 1), (3733, 1), (5527, 1), (6880, 1), (6881, 1)], [(8, 1), (22, 1), (36, 1), (233, 1), (268, 1), (269, 1), (281, 1), (1308, 1), (1556, 1), (6882, 1)], [(7, 2), (8, 1), (18, 2), (20, 2), (25, 2), (31, 1), (37, 1), (45, 1), (50, 2), (53, 4), (54, 1), (90, 1), (117, 1), (122, 1), (217, 1), (334, 2), (337, 1), (347, 1), (410, 1), (414, 1), (418, 1), (447, 1), (452, 1), (457, 1), (461, 1), (891, 1), (985, 1), (1070, 1), (2917, 1), (3026, 1), (4488, 1), (4682, 1), (5452, 1), (5605, 1), (5942, 1), (6883, 1), (6884, 1), (6885, 1)], [(8, 1), (20, 2), (22, 1), (23, 2), (45, 1), (53, 1), (64, 2), (90, 1), (91, 1), (108, 1), (124, 1), (190, 1), (233, 1), (654, 1), (1163, 1), (1165, 1), (1644, 1), (1685, 1), (2772, 1), (3279, 1), (3491, 1), (3614, 1), (6886, 1), (6887, 1)], [(7, 1), (8, 1), (18, 3), (19, 2), (20, 9), (22, 2), (23, 1), (25, 5), (31, 3), (37, 2), (45, 1), (50, 1), (53, 5), (54, 1), (55, 3), (58, 1), (90, 2), (111, 1), (117, 1), (173, 1), (182, 1), (206, 1), (215, 1), (217, 1), (228, 1), (232, 1), (269, 2), (293, 1), (311, 1), (323, 1), (328, 1), (334, 2), (347, 3), (420, 1), (448, 1), (450, 1), (452, 1), (453, 1), (459, 3), (506, 1), (516, 1), (711, 1), (725, 1), (772, 1), (798, 1), (897, 1), (1070, 1), (1102, 1), (1122, 2), (1365, 1), (1731, 1), (1960, 1), (2457, 1), (2730, 1), (5486, 1), (5604, 1), (5710, 1), (6210, 1), (6888, 1), (6889, 1), (6890, 1), (6891, 1), (6892, 1), (6893, 1), (6894, 1), (6895, 1), (6896, 1), (6897, 1), (6898, 1), (6899, 2), (6900, 1)], [(8, 1), (20, 1), (23, 1), (37, 1), (82, 1), (90, 1), (281, 1), (289, 1), (342, 1), (353, 1), (410, 1), (1580, 1), (1685, 1), (3359, 1), (3614, 1), (6465, 1), (6901, 1), (6902, 1)], [(8, 1), (18, 1), (20, 8), (22, 2), (23, 2), (25, 2), (31, 2), (45, 1), (50, 2), (53, 3), (63, 1), (82, 1), (90, 1), (94, 1), (109, 1), (124, 2), (173, 4), (215, 1), (229, 1), (236, 1), (239, 1), (268, 1), (269, 1), (285, 1), (410, 1), (414, 1), (506, 1), (597, 1), (738, 1), (763, 1), (792, 2), (833, 2), (852, 1), (903, 1), (1287, 1), (1580, 1), (1644, 1), (1822, 1), (2077, 1), (2178, 1), (2184, 2), (2388, 1), (2669, 1), (3200, 1), (3294, 1), (3433, 1), (3696, 1), (4659, 1), (4699, 1), (5970, 1), (6465, 1), (6903, 1), (6904, 1)], [(8, 1), (18, 3), (19, 1), (20, 1), (25, 1), (36, 1), (50, 1), (55, 1), (58, 1), (71, 1), (90, 1), (173, 1), (193, 1), (215, 1), (236, 1), (293, 1), (334, 1), (482, 1), (506, 1), (645, 1), (743, 1), (744, 1), (813, 1), (1102, 1), (2235, 1), (2304, 1), (2500, 1), (3560, 1), (5272, 1), (6084, 1), (6905, 1), (6906, 1), (6907, 1), (6908, 1), (6909, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 3), (37, 1), (45, 1), (50, 3), (53, 2), (55, 1), (82, 1), (84, 1), (85, 1), (90, 1), (177, 1), (289, 1), (293, 1), (419, 2), (442, 1), (449, 1), (743, 1), (885, 1), (1363, 1), (1931, 1), (2197, 1), (2344, 1), (2359, 1), (2543, 1), (3614, 1), (3714, 1), (3962, 1), (4025, 1), (4563, 1), (5933, 1), (6122, 1), (6129, 1), (6133, 1), (6337, 1), (6741, 1), (6910, 1), (6911, 1), (6912, 1), (6913, 1)], [(1544, 1), (6914, 1)], [(8, 1), (3000, 1), (6656, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (31, 1), (45, 3), (50, 1), (53, 3), (54, 1), (82, 1), (90, 2), (109, 1), (173, 2), (209, 1), (268, 1), (310, 1), (347, 1), (414, 1), (419, 1), (433, 1), (434, 1), (450, 1), (459, 1), (498, 1), (709, 1), (711, 1), (824, 1), (1187, 1), (1363, 1), (1580, 1), (1822, 1), (1904, 1), (2239, 1), (2259, 1), (2706, 1), (2862, 1), (3091, 1), (3410, 1), (3432, 1), (3501, 1), (3614, 1), (4498, 1), (4728, 1), (4775, 1), (5288, 1), (5969, 1), (6186, 1), (6237, 1), (6309, 1), (6915, 1), (6916, 1), (6917, 1), (6918, 1)], [(7, 1), (20, 1), (64, 1), (90, 1), (99, 1), (596, 1), (946, 1), (1685, 1), (1898, 1), (1904, 1), (6186, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (32, 1), (53, 2), (78, 1), (233, 1), (414, 2), (1580, 1), (1693, 1), (2965, 1), (3015, 1), (3575, 1), (4728, 1)], [(20, 1), (23, 1), (45, 1), (64, 2), (66, 1), (173, 2), (203, 1), (1163, 1), (1187, 1), (1434, 1), (1898, 1), (3852, 1)], [(8, 1), (20, 2), (31, 1), (45, 2), (50, 1), (53, 1), (64, 1), (85, 1), (109, 1), (117, 1), (232, 1), (233, 1), (686, 1), (706, 1), (824, 1), (1163, 1), (1778, 1), (1797, 1), (1904, 1), (3406, 1), (6186, 1), (6237, 1), (6318, 1)], [(8, 1), (36, 1), (64, 1), (90, 1), (117, 1), (173, 1), (203, 1), (232, 1), (3852, 1), (6919, 1)], [(19, 1), (20, 2), (31, 1), (50, 1), (55, 1), (64, 1), (161, 1), (173, 1), (193, 1), (357, 1), (556, 1), (946, 1), (1163, 1), (1164, 1), (1574, 1), (2283, 1), (2407, 1), (2828, 1), (3614, 1), (4296, 1), (6920, 1), (6921, 1)], [(18, 1), (20, 1), (23, 1), (50, 1), (53, 1), (64, 2), (66, 1), (117, 1), (173, 1), (232, 1), (233, 1), (763, 1), (1163, 1), (1845, 1), (5337, 1), (6922, 1), (6923, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (53, 1), (58, 1), (71, 2), (90, 1), (193, 1), (228, 1), (233, 1), (325, 1), (355, 1), (428, 1), (702, 1), (1361, 1), (1511, 1), (2344, 1), (3238, 1), (3412, 1), (6623, 1), (6919, 1)], [(20, 1), (64, 2), (96, 1), (247, 1), (1163, 1), (2925, 1), (3528, 1), (5337, 1), (6318, 1), (6922, 1)], [(31, 1), (65, 1), (90, 1), (117, 1), (232, 1), (946, 1), (2321, 1), (6924, 1), (6925, 1), (6926, 1), (6927, 1), (6928, 1)], [(8, 1), (18, 1), (20, 6), (25, 3), (44, 1), (45, 2), (50, 1), (53, 2), (55, 1), (85, 2), (91, 2), (173, 1), (174, 1), (193, 1), (293, 1), (334, 1), (414, 1), (426, 1), (452, 1), (777, 1), (1170, 1), (1693, 1), (1694, 1), (1931, 1), (1981, 1), (2178, 1), (2354, 1), (3091, 1), (3398, 1), (3532, 1), (3614, 1), (6172, 1), (6237, 1), (6514, 1), (6929, 1), (6930, 1)], [(18, 1), (64, 1), (173, 1), (174, 1), (217, 1), (946, 1), (1347, 1), (4993, 1), (6923, 1)], [(19, 1), (20, 3), (22, 1), (23, 1), (64, 1), (66, 1), (82, 1), (173, 1), (174, 1), (233, 1), (452, 1), (506, 1), (645, 1), (897, 1), (1574, 1), (1964, 1), (2235, 1), (3182, 1)], [(20, 2), (25, 1), (45, 1), (50, 1), (58, 1), (64, 2), (66, 1), (90, 1), (111, 1), (117, 2), (167, 1), (172, 1), (173, 1), (217, 1), (232, 1), (233, 1), (285, 1), (448, 1), (708, 1), (759, 1), (970, 1), (974, 1), (1163, 1), (1165, 1), (1669, 1), (1806, 1), (2977, 1), (5537, 1), (6186, 1), (6931, 1)], [(18, 1), (20, 2), (32, 1), (50, 1), (64, 2), (77, 1), (117, 1), (185, 1), (232, 1), (1163, 1), (1336, 1), (1483, 1), (1714, 1), (2145, 1), (2925, 1), (6318, 1), (6923, 1), (6925, 1), (6926, 1), (6927, 1), (6932, 1)], [(20, 1), (23, 2), (25, 1), (30, 1), (58, 1), (66, 1), (117, 1), (197, 1), (232, 1), (328, 1), (345, 1), (361, 1), (726, 1), (812, 1), (1764, 1), (4778, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 3), (37, 1), (45, 1), (50, 1), (53, 1), (64, 2), (77, 2), (90, 1), (111, 1), (117, 1), (226, 1), (233, 1), (410, 1), (759, 1), (1163, 1), (1907, 1), (2005, 1), (3034, 2), (3528, 1), (3614, 1), (5337, 1), (5339, 1), (6922, 1), (6923, 1), (6925, 1), (6926, 1), (6927, 1)], [(18, 1), (20, 1), (36, 1), (66, 1), (77, 2), (1377, 1), (3614, 1), (6933, 1)], [(8, 1), (20, 2), (21, 1), (55, 1), (64, 2), (233, 1), (357, 2), (506, 1), (556, 1), (645, 1), (1163, 1), (2235, 1), (3675, 1), (3917, 1), (6318, 1), (6326, 1), (6934, 1), (6935, 1), (6936, 1)], [(245, 1), (596, 1), (1714, 1), (1898, 1), (2407, 1), (6286, 1)], [(66, 1), (506, 1), (2084, 1)], [(8, 1), (20, 1), (23, 1), (1149, 1), (1434, 1), (1820, 1), (2320, 1), (2393, 1), (6937, 1)], [(19, 2), (20, 6), (22, 4), (23, 2), (25, 7), (31, 1), (37, 3), (50, 4), (52, 1), (53, 3), (56, 1), (64, 1), (66, 1), (90, 1), (97, 1), (99, 1), (117, 1), (185, 1), (197, 1), (212, 1), (226, 1), (232, 1), (237, 1), (268, 1), (328, 1), (334, 1), (419, 2), (434, 3), (448, 2), (922, 1), (949, 1), (1130, 1), (1308, 1), (1354, 1), (1628, 1), (1641, 1), (1898, 1), (1904, 1), (2169, 1), (2654, 1), (2985, 1), (3528, 1), (3614, 1), (3689, 1), (3831, 1), (4670, 1), (5336, 1), (5337, 1), (5342, 1), (6186, 1), (6938, 1), (6939, 1), (6940, 1), (6941, 2), (6942, 1)], [(8, 1), (20, 2), (64, 1), (117, 1), (357, 1), (1163, 1), (1354, 1), (1898, 1), (2925, 1), (3542, 1), (6186, 1), (6332, 1), (6943, 1), (6944, 1), (6945, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (23, 1), (50, 1), (64, 1), (65, 1), (75, 1), (99, 1), (108, 1), (117, 1), (317, 1), (645, 1), (709, 1), (812, 1), (1075, 1), (1296, 2), (2030, 1), (2066, 1), (4199, 1), (6326, 1), (6946, 1), (6947, 1)], [(8, 1), (20, 1), (21, 1), (25, 1), (58, 1), (117, 2), (173, 1), (232, 1), (759, 1), (1377, 1), (1901, 1), (2149, 1), (2876, 1), (4418, 1), (4419, 1), (4532, 1), (6925, 1), (6926, 1), (6948, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (410, 1), (702, 1), (812, 1), (1187, 1), (1594, 1), (3280, 1), (3482, 2)], [(20, 1), (21, 1), (23, 1), (30, 1), (90, 1), (96, 1), (99, 1), (117, 1), (232, 1), (273, 1), (328, 1), (1714, 1), (2145, 1), (3633, 1), (6949, 1)], [(8, 1), (19, 1), (2145, 1), (2543, 1), (4482, 1), (6949, 1)], [(18, 1), (20, 1), (53, 1), (96, 1), (117, 1), (173, 1), (232, 1), (247, 1), (328, 1), (334, 1), (639, 1), (2259, 1), (3083, 1), (3287, 1)], [(8, 1), (22, 1), (25, 1), (58, 1), (90, 1), (173, 1), (410, 1), (516, 1), (970, 1), (2178, 1), (3924, 1), (3942, 1), (6950, 1)], [(18, 1), (20, 3), (23, 1), (31, 1), (40, 1), (50, 1), (53, 1), (65, 1), (77, 1), (81, 1), (95, 1), (99, 1), (111, 1), (188, 1), (273, 1), (324, 1), (373, 1), (706, 1), (792, 1), (800, 1), (1714, 1), (6949, 1)], [(18, 1), (40, 1), (74, 1), (99, 1), (327, 1), (792, 1), (946, 1)], [(18, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 2), (45, 3), (50, 3), (53, 4), (65, 1), (85, 1), (95, 1), (98, 1), (109, 1), (185, 1), (215, 1), (269, 1), (281, 1), (428, 1), (448, 1), (632, 1), (697, 2), (744, 1), (813, 1), (897, 1), (913, 1), (1656, 1), (1682, 1), (1693, 1), (1831, 1), (2168, 1), (2259, 1), (2418, 1), (2925, 1), (3091, 1), (3366, 1), (3614, 1), (4282, 1), (5426, 1), (5663, 1), (6951, 1), (6952, 1)], [(20, 1), (30, 1), (34, 1), (64, 1), (99, 1), (117, 1), (414, 1), (680, 1), (1714, 1), (1830, 1), (1984, 1), (2011, 1), (3121, 1), (6953, 1), (6954, 1)], [(30, 1), (34, 1), (1714, 1), (2705, 1)], [(20, 3), (30, 1), (95, 1), (220, 1), (240, 2), (269, 1), (1178, 1), (2771, 1), (6955, 1)], [(8, 1), (20, 3), (25, 2), (50, 1), (51, 1), (53, 3), (58, 1), (85, 1), (117, 2), (173, 1), (193, 1), (232, 2), (709, 1), (777, 1), (970, 1), (1477, 1), (1668, 1), (1931, 1), (1984, 1), (1995, 1), (2340, 1), (2455, 1), (2467, 1), (2672, 1), (2734, 1), (3025, 1), (4575, 1), (6318, 1), (6511, 1), (6956, 1), (6957, 1)], [(20, 3), (22, 1), (30, 1), (31, 1), (53, 1), (64, 2), (65, 2), (66, 1), (95, 2), (220, 1), (233, 1), (346, 1), (893, 1), (1163, 1), (1239, 1), (1638, 1), (2149, 1), (3602, 1), (3607, 1), (3614, 1), (6958, 1), (6959, 1), (6960, 1)], [(8, 1), (20, 5), (45, 1), (50, 1), (53, 3), (64, 1), (193, 1), (233, 1), (323, 1), (347, 1), (433, 1), (688, 1), (1163, 1), (1502, 1), (2259, 1), (2383, 1), (2992, 1), (4566, 1), (4729, 1), (4962, 1), (6186, 1), (6318, 1), (6961, 1), (6962, 1)], [(8, 1), (20, 3), (23, 1), (25, 1), (53, 1), (64, 1), (99, 1), (117, 1), (232, 1), (273, 1), (709, 1), (1187, 1), (1615, 1), (6318, 1), (6961, 1)], [(8, 1), (20, 2), (23, 1), (31, 1), (50, 1), (84, 1), (172, 1), (203, 1), (269, 1), (328, 1), (751, 1), (913, 1), (1898, 1), (6949, 1), (6963, 1)], [(18, 1), (20, 3), (25, 1), (40, 1), (50, 1), (53, 1), (54, 1), (66, 1), (85, 1), (90, 1), (117, 2), (124, 1), (232, 1), (295, 2), (419, 1), (691, 1), (833, 1), (1361, 1), (1578, 1), (1670, 1), (1824, 1), (2324, 1), (2854, 1), (5942, 1), (6949, 1), (6964, 1)], [(8, 1), (19, 2), (20, 1), (23, 1), (25, 1), (53, 2), (54, 1), (97, 1), (117, 1), (232, 1), (241, 1), (310, 1), (334, 1), (399, 1), (419, 1), (428, 1), (709, 1), (922, 1), (1013, 1), (1149, 1), (1362, 1), (1507, 1), (1580, 1), (1627, 1), (2348, 1), (2916, 1), (3614, 1), (4729, 1)], [(19, 2), (20, 4), (23, 1), (25, 2), (37, 1), (64, 1), (108, 1), (117, 1), (173, 2), (233, 1), (288, 1), (328, 1), (347, 1), (459, 1), (506, 1), (759, 1), (777, 1), (888, 1), (1260, 1), (1714, 1), (1747, 1), (1907, 1), (2406, 1), (2855, 1), (3013, 1), (3034, 1), (3083, 1), (3182, 1), (6186, 1), (6644, 1), (6949, 1), (6965, 1)], [(20, 2), (23, 1), (247, 1), (273, 1), (295, 1), (5684, 1), (6949, 1)], [(81, 1), (111, 1), (357, 1), (885, 1), (1714, 1), (2306, 1), (2812, 1), (4841, 2), (6286, 1)], [(18, 1), (20, 7), (22, 2), (31, 2), (45, 2), (50, 1), (52, 1), (53, 3), (54, 1), (58, 1), (90, 1), (92, 1), (97, 1), (111, 1), (117, 1), (185, 2), (193, 1), (232, 1), (237, 1), (256, 1), (268, 1), (281, 2), (293, 1), (301, 1), (307, 1), (323, 1), (347, 1), (516, 1), (531, 1), (695, 1), (771, 1), (1069, 1), (1122, 1), (1596, 1), (1901, 1), (1904, 1), (1931, 1), (2184, 1), (2296, 1), (2304, 1), (2418, 1), (3412, 1), (3417, 1), (3614, 1), (3652, 1), (3831, 1), (3923, 1), (4145, 1), (4580, 1), (4825, 1), (5044, 1), (5332, 1), (5356, 1), (6186, 1), (6501, 1), (6533, 1), (6966, 1), (6967, 1), (6968, 1), (6969, 1), (6970, 1)], [(8, 1), (6949, 1)], [(8, 1), (45, 1), (2812, 1), (6971, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 12), (22, 3), (23, 4), (24, 1), (25, 8), (28, 1), (31, 2), (37, 1), (45, 3), (50, 5), (53, 3), (55, 1), (58, 1), (64, 2), (65, 1), (82, 1), (85, 1), (91, 1), (97, 1), (108, 2), (111, 1), (117, 1), (164, 1), (185, 1), (193, 1), (203, 1), (232, 1), (233, 1), (242, 1), (245, 2), (261, 1), (262, 1), (269, 1), (357, 1), (428, 1), (504, 1), (692, 1), (709, 1), (725, 1), (739, 1), (897, 1), (1041, 1), (1163, 1), (1165, 1), (1227, 1), (1354, 1), (1506, 1), (1580, 1), (1596, 1), (1685, 1), (1702, 1), (1854, 1), (1904, 1), (2050, 2), (2283, 1), (2304, 1), (2340, 1), (2344, 1), (2354, 1), (2479, 1), (2636, 1), (2987, 1), (3301, 1), (3305, 1), (3437, 1), (3467, 1), (3500, 1), (3614, 2), (3831, 1), (4237, 1), (4390, 1), (4475, 1), (4841, 1), (5203, 1), (5360, 1), (6095, 1), (6318, 1), (6474, 1), (6480, 1), (6592, 1), (6920, 1), (6972, 1), (6973, 1), (6974, 1), (6975, 1), (6976, 1), (6977, 1), (6978, 1), (6979, 1), (6980, 1), (6981, 1), (6982, 1), (6983, 1), (6984, 1), (6985, 1)], [(19, 1), (20, 2), (22, 3), (23, 1), (25, 1), (53, 3), (109, 1), (220, 1), (247, 1), (273, 1), (362, 1), (702, 1), (990, 1), (1594, 1), (3509, 1), (4386, 1), (4553, 1), (4926, 1), (5134, 1), (6986, 1), (6987, 1)], [(247, 1), (3787, 1), (6988, 1)], [(50, 1), (53, 1), (300, 1), (1178, 1), (2548, 1), (2549, 1), (6545, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 1), (55, 1), (117, 1), (232, 1), (365, 1), (1089, 1), (1824, 1), (1914, 1), (2960, 1), (6318, 1), (6744, 1), (6989, 1), (6990, 1), (6991, 1), (6992, 1), (6993, 1)], [(8, 1), (20, 3), (32, 1), (64, 1), (84, 1), (328, 2), (1163, 1), (1578, 1), (2829, 2), (6186, 1), (6318, 1), (6994, 1), (6995, 1)], [(8, 1), (18, 1), (21, 1), (22, 1), (50, 1), (53, 1), (58, 1), (64, 1), (77, 1), (85, 1), (117, 1), (268, 1), (323, 1), (775, 1), (812, 1), (885, 1), (1172, 1), (1578, 1), (2178, 1), (2899, 1), (2906, 1), (3539, 1), (3832, 1), (6047, 1), (6996, 1), (6997, 1), (6998, 1), (6999, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (37, 1), (50, 1), (53, 3), (54, 1), (65, 1), (85, 1), (173, 1), (351, 1), (373, 1), (426, 1), (776, 1), (812, 1), (1361, 1), (2178, 1), (2235, 1), (4622, 1), (6306, 1), (6478, 1), (6927, 1), (7000, 1), (7001, 1), (7002, 1)], [(19, 1), (20, 3), (25, 2), (31, 1), (36, 1), (45, 1), (50, 1), (65, 1), (66, 1), (90, 1), (108, 1), (109, 1), (173, 2), (187, 1), (195, 1), (293, 1), (337, 1), (410, 1), (739, 1), (1197, 1), (1324, 1), (1628, 1), (2348, 1), (3076, 1), (3083, 2), (4943, 1), (7003, 1), (7004, 1), (7005, 1), (7006, 1), (7007, 1)], [(64, 1), (247, 1), (6186, 1)], [(1178, 1), (6186, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 2), (23, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (58, 1), (64, 1), (77, 1), (96, 1), (117, 1), (172, 1), (182, 1), (185, 1), (215, 1), (228, 1), (233, 1), (261, 1), (288, 1), (352, 1), (357, 3), (581, 1), (739, 1), (897, 1), (983, 1), (1149, 1), (1342, 1), (1354, 1), (3345, 1), (5133, 1), (5655, 1), (6186, 1), (6318, 1), (6573, 1), (6655, 1), (6936, 1), (6945, 1), (7008, 1)], [(8, 1), (20, 1), (29, 1), (229, 1), (252, 1), (4386, 1), (6186, 1), (7009, 1)], [(20, 3), (25, 1), (31, 1), (50, 1), (53, 1), (55, 1), (82, 1), (90, 2), (117, 1), (185, 1), (226, 1), (342, 1), (347, 1), (357, 2), (414, 1), (420, 2), (506, 1), (765, 1), (792, 1), (897, 1), (922, 2), (946, 1), (1159, 1), (1248, 1), (1488, 1), (1572, 1), (1744, 1), (1904, 1), (2348, 1), (2478, 1), (4251, 1), (4281, 1), (6129, 1), (6315, 1), (6945, 1), (7010, 1), (7011, 1)], [(8, 1), (20, 4), (25, 1), (30, 3), (32, 1), (37, 1), (45, 2), (50, 1), (53, 1), (64, 1), (295, 1), (310, 1), (428, 1), (809, 2), (1163, 1), (1348, 1), (1354, 1), (2925, 1), (3500, 1), (4575, 1), (4729, 1), (5130, 1), (6055, 1), (6186, 1), (7012, 1), (7013, 1)], [(50, 1), (90, 1), (247, 1), (6691, 1)], [(53, 1), (197, 1), (236, 1), (247, 1), (285, 1), (419, 1), (709, 1), (1416, 1), (3013, 1), (6601, 1)], [(25, 1), (53, 1), (897, 1), (1714, 1), (2478, 1), (7010, 1)], [(596, 1), (1714, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (37, 1), (53, 1), (197, 1), (305, 1), (316, 1), (365, 1), (434, 1), (531, 1), (632, 1), (744, 1), (765, 1), (777, 1), (1068, 1), (1248, 1), (2066, 1), (2169, 1), (2640, 1), (4957, 1), (7014, 1)], [(25, 1), (50, 1), (53, 1), (897, 1), (1714, 1), (2478, 1), (6691, 1), (7010, 1)], [(247, 1), (1165, 1)], [(8, 1), (19, 1), (268, 1), (342, 1), (410, 1), (897, 1), (1342, 1), (2478, 1)], [(19, 3), (21, 2), (22, 2), (23, 2), (25, 2), (37, 1), (50, 2), (53, 1), (54, 4), (65, 1), (66, 1), (90, 1), (96, 2), (288, 3), (428, 1), (765, 1), (1354, 1), (1615, 1), (1904, 1), (2272, 1), (3358, 2), (3382, 1), (4342, 1), (6060, 1), (6315, 1), (7015, 1), (7016, 1)], [(8, 1), (20, 3), (28, 1), (30, 1), (45, 1), (124, 1), (186, 1), (233, 1), (256, 1), (268, 1), (414, 1), (419, 1), (1139, 1), (2064, 1), (2351, 1), (6318, 1), (7017, 1), (7018, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (53, 1), (65, 1), (173, 1), (323, 1), (351, 1), (448, 1), (452, 1), (459, 1), (752, 1), (1638, 1), (2296, 1), (3540, 1), (5314, 1), (6733, 1), (7019, 1), (7020, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 1), (97, 1), (111, 1), (172, 1), (173, 1), (186, 1), (217, 1), (346, 1), (531, 1), (601, 1), (897, 1), (2862, 1), (3255, 1), (3308, 1), (3382, 1), (7021, 1), (7022, 1), (7023, 1), (7024, 1), (7025, 1)], [(1544, 1), (7026, 1)], [(8, 1), (24, 1), (7027, 1)], [(20, 1), (31, 1), (64, 1), (90, 1), (172, 1), (295, 1), (709, 1), (946, 1), (3484, 1), (4635, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (23, 1), (25, 2), (31, 1), (45, 2), (53, 5), (55, 1), (108, 1), (109, 1), (193, 1), (229, 1), (307, 1), (323, 1), (347, 1), (420, 1), (434, 2), (459, 2), (488, 1), (680, 1), (767, 1), (1129, 1), (1324, 1), (1416, 1), (1624, 1), (1656, 1), (1731, 1), (2140, 1), (2436, 1), (3040, 1), (3132, 1), (3614, 1), (4145, 1), (5233, 1), (6129, 1), (6133, 1), (7028, 1), (7029, 1), (7030, 1)], [(8, 1), (18, 2), (22, 1), (25, 1), (31, 1), (36, 1), (44, 1), (45, 1), (50, 1), (54, 1), (256, 1), (1900, 1), (2346, 1), (2401, 1), (3355, 1), (3360, 1), (3837, 1), (6200, 1), (7031, 1), (7032, 1), (7033, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (37, 1), (45, 1), (50, 1), (53, 2), (58, 1), (65, 1), (126, 1), (172, 1), (186, 1), (217, 1), (347, 1), (420, 1), (516, 1), (777, 1), (1656, 1), (2471, 1), (2977, 1), (3121, 1), (4652, 1), (5941, 1), (6116, 1), (7034, 1), (7035, 1), (7036, 1), (7037, 1), (7038, 1), (7039, 1), (7040, 1)], [(31, 1), (64, 1), (295, 1), (946, 1), (1159, 1), (3484, 1), (6316, 1)], [(8, 1), (173, 1), (2608, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 2), (30, 1), (53, 1), (64, 1), (108, 1), (124, 1), (193, 1), (233, 1), (531, 1), (709, 1), (884, 1), (1163, 1), (1170, 1), (1342, 1), (1898, 1), (2442, 1), (2705, 1), (2870, 1), (4074, 1), (6129, 1), (7041, 1)], [(8, 1), (20, 4), (21, 1), (25, 1), (30, 1), (45, 2), (50, 1), (53, 3), (55, 1), (58, 1), (64, 1), (85, 1), (90, 1), (109, 1), (173, 1), (193, 1), (233, 1), (263, 1), (328, 1), (626, 1), (627, 1), (709, 1), (897, 1), (1069, 1), (1163, 1), (1449, 1), (1720, 1), (2985, 1), (3025, 1), (3542, 1), (4939, 1), (5639, 1), (5682, 1), (6129, 1), (7042, 1), (7043, 1), (7044, 1)], [(20, 1), (23, 1), (53, 1), (64, 2), (66, 1), (172, 1), (233, 1), (419, 1), (912, 1), (1163, 1), (1731, 1), (1778, 1), (7045, 1)], [(64, 1), (310, 1), (324, 1), (328, 1), (410, 1), (946, 1), (5360, 1), (7046, 1)], [(64, 1), (96, 1), (946, 1), (7047, 1)], [(8, 1), (20, 1), (64, 1), (99, 1), (117, 2), (161, 1), (173, 1), (233, 1), (759, 1), (1163, 1), (1499, 1), (1583, 1), (3083, 1), (3914, 1), (7048, 1), (7049, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (37, 1), (53, 1), (58, 1), (64, 1), (90, 1), (108, 1), (117, 3), (161, 1), (214, 1), (228, 1), (708, 1), (711, 1), (759, 1), (1102, 1), (1165, 1), (1196, 1), (1296, 1), (1932, 1), (2178, 1), (2906, 1), (3034, 1), (3083, 1), (5939, 1), (7048, 1), (7049, 1), (7050, 1)], [(18, 3), (19, 1), (50, 1), (66, 1), (117, 1), (126, 1), (232, 1), (813, 1), (1332, 1), (1628, 1), (7051, 1), (7052, 1)], [(20, 1), (64, 1), (99, 1), (214, 1), (410, 1), (596, 1), (946, 1), (2993, 1), (5296, 1)], [(8, 1), (23, 1), (233, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (37, 1), (50, 1), (53, 2), (64, 1), (90, 1), (98, 1), (108, 1), (117, 1), (119, 1), (186, 1), (233, 1), (281, 1), (415, 1), (813, 1), (885, 1), (1102, 1), (1163, 1), (1966, 1), (2622, 1), (3040, 1), (3083, 1), (3302, 1), (3944, 2), (6030, 1), (7050, 1), (7053, 1), (7054, 1)], [(20, 1), (22, 2), (23, 1), (25, 1), (64, 2), (66, 1), (109, 1), (117, 3), (173, 1), (185, 1), (225, 1), (232, 2), (233, 1), (287, 1), (410, 1), (419, 1), (498, 1), (759, 1), (1163, 1), (1180, 1), (1901, 1), (1907, 1), (2716, 1), (3034, 1), (3289, 1), (3614, 1), (6252, 1), (6769, 1), (7055, 1)], [(64, 1), (1178, 1), (3616, 1)], [(8, 1), (53, 1), (2925, 1), (3040, 1)], [(20, 1), (21, 1), (64, 1), (94, 1), (117, 2), (172, 1), (182, 1), (233, 1), (295, 2), (502, 1), (759, 1), (946, 1), (1351, 1), (1824, 1), (6517, 1), (7048, 1), (7049, 1)], [(64, 1), (117, 1), (232, 1), (502, 1), (946, 1), (1351, 1), (2010, 1)], [(8, 1), (20, 1), (23, 1), (45, 1), (50, 1), (53, 1), (55, 1), (233, 1), (1305, 1), (1458, 1), (6828, 1), (7056, 1), (7057, 1)], [(64, 1), (66, 1), (1904, 1), (6315, 1)], [(64, 1), (247, 1), (596, 1)], [(20, 1), (50, 1), (53, 2), (84, 1), (709, 1), (946, 1), (1325, 1), (6129, 1)], [(7, 1), (8, 1), (20, 2), (50, 1), (51, 1), (64, 1), (81, 1), (90, 1), (173, 1), (378, 1), (399, 1), (434, 1), (448, 1), (1960, 1), (4939, 1), (7050, 1)], [(20, 1), (30, 1), (117, 2), (172, 1), (182, 1), (295, 1), (759, 1), (946, 1), (1824, 1), (6517, 1), (7048, 1), (7049, 1)], [(8, 1), (20, 1), (64, 1), (117, 2), (419, 1), (759, 1), (1165, 1), (7048, 1), (7049, 1)], [(20, 2), (25, 1), (36, 1), (37, 1), (66, 1), (71, 1), (77, 1), (117, 1), (174, 1), (190, 1), (232, 1), (256, 1), (273, 1), (307, 1), (711, 1), (970, 1), (1296, 1), (1458, 1), (1915, 1), (3061, 1)], [(64, 1), (174, 1), (307, 1), (970, 1), (1178, 1), (1458, 1), (2849, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 1), (55, 1), (813, 1), (3040, 1), (3918, 1), (6592, 1), (7058, 1), (7059, 1)], [(20, 1), (22, 2), (37, 2), (50, 1), (64, 1), (66, 1), (71, 1), (77, 1), (82, 1), (185, 1), (190, 1), (295, 1), (307, 1), (420, 1), (897, 1), (970, 2), (1069, 1), (1656, 1), (1670, 1), (1904, 1), (2495, 1), (6315, 1)], [(30, 1), (64, 1), (99, 1), (410, 1), (596, 1), (946, 1), (1685, 1), (3034, 1)], [(30, 1), (64, 1), (99, 1), (410, 1), (596, 1), (711, 1), (792, 1), (1714, 1), (7060, 1)], [(90, 1), (1178, 1), (1753, 1)], [(18, 2), (19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (30, 1), (45, 1), (50, 1), (64, 1), (65, 1), (66, 1), (90, 1), (95, 1), (117, 3), (173, 1), (232, 1), (289, 1), (410, 1), (530, 1), (759, 1), (1308, 1), (1325, 1), (1506, 1), (2005, 1), (2030, 1), (2145, 1), (2178, 2), (2498, 1), (3069, 1), (7061, 1)], [(8, 1), (20, 2), (21, 1), (64, 1), (90, 1), (94, 3), (117, 2), (232, 2), (658, 1), (1966, 1), (2479, 1), (3162, 1)], [(8, 1), (99, 1), (173, 1), (203, 1), (301, 1), (420, 1), (531, 1), (902, 1), (1963, 1), (5148, 1)], [(8, 1), (21, 1), (22, 1), (25, 2), (53, 1), (55, 1), (90, 1), (98, 1), (117, 1), (232, 1), (287, 1), (1904, 1), (6315, 1), (7062, 1), (7063, 2)], [(19, 1), (20, 3), (22, 1), (25, 1), (30, 1), (31, 1), (53, 2), (55, 1), (90, 4), (108, 1), (173, 1), (174, 1), (301, 1), (387, 1), (410, 3), (412, 1), (420, 1), (516, 1), (527, 3), (708, 1), (893, 1), (1157, 1), (1248, 1), (1683, 1), (1714, 1), (1910, 1), (2030, 1), (2206, 1), (2207, 1), (2324, 1), (2910, 1), (4326, 1), (5729, 1), (6289, 1), (7064, 1), (7065, 1), (7066, 1), (7067, 1)], [(53, 1), (173, 1), (410, 1), (428, 1), (1714, 1), (1722, 1), (1855, 1), (5603, 1), (7068, 1)], [(8, 1), (19, 1), (20, 1), (45, 2), (53, 1), (331, 1), (410, 1), (527, 1), (1488, 1), (2344, 1), (3638, 1), (6436, 1), (7069, 1), (7070, 1)], [(18, 1), (20, 1), (25, 1), (91, 1), (98, 1), (117, 1), (124, 1), (295, 1), (410, 1), (759, 1), (809, 1), (1714, 1), (1901, 1), (5601, 1), (5760, 1), (6289, 1)], [(20, 1), (22, 1), (23, 1), (117, 1), (166, 1), (288, 1), (295, 2), (342, 1), (759, 1), (792, 1), (1165, 1), (1714, 1), (1907, 1)], [(58, 1), (1714, 1), (1779, 1), (2010, 1)], [(8, 1), (20, 1), (23, 1), (37, 1), (1118, 1), (1361, 1), (3182, 1)], [(8, 1), (20, 5), (22, 1), (23, 1), (25, 1), (40, 1), (50, 1), (53, 1), (58, 1), (90, 1), (117, 2), (172, 1), (173, 1), (273, 1), (288, 1), (295, 2), (301, 1), (410, 1), (482, 1), (2030, 2), (2145, 1), (3069, 1), (3638, 1), (4390, 1), (5198, 1), (7071, 1), (7072, 1)], [(18, 2), (20, 1), (21, 1), (22, 1), (23, 1), (25, 1), (53, 1), (66, 1), (90, 1), (117, 2), (173, 1), (197, 1), (232, 1), (269, 2), (407, 1), (415, 1), (545, 1), (708, 1), (711, 1), (1308, 1), (1583, 1), (1779, 1), (1898, 1), (2354, 1), (2654, 1), (3034, 1), (3162, 1), (3638, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 3), (25, 1), (31, 1), (37, 1), (50, 1), (53, 1), (58, 1), (64, 2), (71, 1), (77, 1), (90, 1), (96, 1), (99, 1), (108, 1), (117, 2), (185, 1), (203, 1), (233, 1), (289, 1), (410, 1), (506, 1), (675, 1), (706, 1), (759, 2), (884, 1), (1163, 1), (1193, 1), (1907, 2), (1928, 1), (3034, 1), (5288, 1), (5523, 1), (6379, 1), (7073, 1)], [(20, 4), (23, 1), (37, 1), (45, 1), (50, 3), (53, 2), (66, 1), (90, 2), (99, 2), (214, 1), (301, 1), (328, 1), (410, 1), (498, 1), (504, 1), (506, 1), (709, 1), (897, 1), (1904, 1), (2145, 1), (3034, 1), (3638, 1), (5052, 1), (6129, 1), (6315, 1), (6699, 1)], [(20, 1), (21, 1), (37, 1), (58, 1), (64, 1), (99, 1), (410, 1), (946, 1), (1541, 1), (1683, 1), (1685, 1), (6289, 1), (7074, 1)], [(64, 1), (66, 1), (1541, 1), (7075, 1)], [(18, 3), (20, 4), (22, 1), (25, 2), (31, 1), (53, 2), (65, 1), (117, 1), (172, 1), (193, 1), (215, 1), (220, 1), (233, 1), (295, 1), (504, 1), (516, 1), (884, 1), (897, 1), (1068, 1), (1416, 1), (1714, 1), (2296, 1), (2406, 1), (3040, 1), (3069, 1), (3484, 1), (3733, 1), (5639, 1), (5682, 1), (6129, 1), (6517, 1), (6593, 1), (7029, 1), (7076, 1), (7077, 1), (7078, 1)], [(53, 1), (310, 1), (414, 1), (1187, 1), (1714, 1), (7079, 1)], [(8, 1), (19, 1), (20, 6), (22, 2), (25, 2), (37, 1), (58, 1), (71, 3), (77, 1), (96, 2), (117, 3), (190, 1), (232, 2), (240, 1), (337, 1), (759, 1), (897, 1), (1458, 1), (1499, 1), (2013, 1), (3291, 1), (7045, 2)], [(18, 1), (20, 3), (22, 2), (23, 1), (25, 2), (30, 1), (37, 1), (55, 1), (58, 1), (111, 1), (117, 3), (161, 1), (203, 1), (206, 1), (215, 2), (232, 1), (240, 1), (247, 1), (287, 1), (332, 1), (415, 2), (448, 1), (600, 1), (627, 1), (2076, 1), (2442, 1), (2500, 1), (2855, 1), (2906, 1), (7080, 1), (7081, 1)], [(19, 1), (20, 2), (22, 2), (23, 2), (53, 1), (66, 1), (117, 1), (295, 3), (314, 1), (2926, 1), (2981, 1), (3073, 1), (3078, 1), (3247, 1), (7082, 1), (7083, 1), (7084, 1)], [(19, 3), (20, 4), (22, 2), (23, 2), (31, 1), (37, 1), (55, 1), (58, 1), (64, 2), (66, 1), (85, 1), (90, 1), (99, 3), (117, 1), (172, 2), (214, 2), (226, 1), (232, 1), (233, 1), (256, 1), (273, 1), (324, 1), (434, 2), (504, 2), (852, 1), (1163, 1), (1308, 1), (1670, 1), (2005, 1), (2145, 1), (2870, 1), (3465, 1), (4400, 1), (5288, 1), (7085, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (22, 1), (23, 1), (25, 1), (30, 1), (50, 1), (53, 2), (58, 1), (64, 1), (90, 1), (99, 1), (108, 1), (117, 1), (186, 1), (214, 1), (232, 1), (233, 1), (240, 1), (295, 1), (331, 1), (452, 1), (516, 1), (645, 1), (697, 1), (809, 1), (1731, 1), (2539, 1), (2901, 1), (2907, 1)], [(19, 1), (20, 2), (247, 1), (295, 1), (2926, 1), (2981, 1), (7082, 1)], [(247, 1), (1583, 1)], [(19, 1), (20, 1), (23, 1), (50, 1), (66, 1), (82, 1), (117, 3), (269, 1), (295, 1), (328, 1), (420, 1), (885, 1), (1615, 1), (2145, 1), (2906, 2), (3069, 1), (3415, 1)], [(8, 1), (20, 2), (21, 1), (64, 1), (90, 1), (99, 2), (117, 2), (434, 2), (581, 2), (697, 1), (759, 2), (1180, 1), (1580, 1), (2058, 1), (2284, 1), (7086, 2)], [(18, 2), (19, 1), (30, 1), (31, 2), (53, 2), (56, 1), (66, 1), (77, 1), (108, 1), (122, 1), (173, 1), (215, 1), (334, 1), (347, 1), (387, 1), (504, 1), (645, 1), (1170, 1), (7087, 1), (7088, 1)], [(19, 1), (20, 2), (64, 1), (66, 1), (295, 1), (2926, 1), (2981, 1), (7082, 1)], [(8, 1), (23, 1), (58, 1), (64, 1), (77, 1), (233, 1), (1163, 1), (7082, 1)], [(8, 1), (20, 2), (64, 1), (117, 1), (185, 1), (232, 1), (498, 1), (645, 1), (1859, 1), (2543, 1), (3280, 1), (3614, 1), (3810, 1)], [(20, 2), (81, 1), (99, 1), (190, 1), (301, 1), (324, 1), (506, 1), (946, 1), (2145, 1), (2234, 1)], [(64, 1), (66, 1), (7089, 1)], [(247, 1), (7089, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (23, 1), (25, 2), (51, 1), (54, 1), (71, 1), (90, 1), (117, 1), (173, 1), (185, 1), (232, 1), (236, 1), (256, 1), (281, 1), (337, 1), (415, 1), (419, 1), (527, 1), (806, 1), (1129, 1), (1324, 1), (1960, 1), (2479, 1), (2870, 1), (2946, 1), (6399, 1), (6698, 1), (7090, 1), (7091, 1), (7092, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (23, 1), (25, 1), (71, 1), (82, 1), (170, 1), (182, 1), (193, 1), (215, 1), (256, 1), (293, 1), (301, 1), (323, 1), (347, 1), (419, 1), (420, 1), (434, 1), (460, 1), (626, 1), (743, 1), (767, 1), (792, 1), (828, 1), (990, 1), (1102, 1), (1245, 1), (1499, 1), (1695, 1), (2224, 1), (2464, 1), (7089, 1), (7093, 1)], [(8, 1), (19, 2), (20, 4), (23, 1), (30, 1), (34, 1), (45, 1), (50, 2), (53, 3), (55, 1), (90, 2), (233, 1), (256, 1), (285, 1), (293, 1), (414, 1), (419, 1), (490, 1), (506, 1), (527, 1), (686, 1), (792, 1), (827, 1), (922, 1), (990, 1), (1477, 1), (1580, 1), (1668, 1), (2019, 1), (2280, 1), (2464, 1), (3015, 1), (3040, 1), (3614, 1), (7094, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (36, 1), (50, 1), (53, 1), (54, 1), (55, 1), (58, 1), (82, 1), (90, 1), (96, 1), (108, 1), (166, 1), (173, 1), (256, 1), (434, 1), (505, 1), (506, 2), (792, 1), (897, 1), (903, 1), (7095, 1), (7096, 1), (7097, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 8), (23, 1), (25, 10), (30, 1), (31, 1), (32, 1), (37, 2), (45, 1), (50, 4), (53, 9), (55, 2), (65, 3), (96, 1), (106, 1), (173, 1), (233, 1), (347, 3), (361, 1), (415, 1), (419, 1), (420, 1), (482, 1), (487, 1), (506, 1), (709, 1), (752, 1), (813, 1), (828, 1), (1350, 3), (1460, 1), (1488, 1), (1656, 1), (1667, 1), (1855, 1), (1887, 1), (1904, 2), (2206, 1), (2207, 1), (2238, 1), (2539, 1), (3638, 1), (3678, 1), (4896, 1), (5603, 1), (5756, 1), (5960, 1), (6129, 1), (6186, 1), (6315, 1), (6676, 1), (6678, 1), (6886, 1), (7098, 1), (7099, 1), (7100, 1), (7101, 1), (7102, 1), (7103, 1), (7104, 1), (7105, 1), (7106, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 2), (50, 1), (53, 1), (54, 2), (55, 2), (58, 1), (82, 1), (84, 1), (90, 2), (111, 1), (185, 1), (414, 1), (434, 1), (490, 1), (632, 1), (697, 1), (1149, 1), (2055, 1), (2307, 1), (2919, 1), (2946, 1), (3614, 1), (6513, 1), (7089, 1), (7095, 1), (7097, 1), (7107, 1), (7108, 1)], [(8, 1), (19, 1), (20, 1), (301, 1), (414, 1), (434, 1), (654, 1), (2019, 1), (3031, 1), (4295, 1), (7089, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (25, 2), (29, 1), (30, 1), (31, 1), (58, 1), (106, 1), (124, 1), (215, 1), (506, 2), (776, 1), (903, 1), (1580, 1), (4659, 1), (7092, 1), (7109, 1), (7110, 1)], [(1544, 1), (7111, 1)], [(8, 1), (2849, 1), (7112, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (54, 1), (111, 1), (126, 1), (328, 1), (334, 1), (361, 1), (418, 1), (2019, 1), (2047, 1), (3482, 1), (6129, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 2), (31, 1), (50, 2), (51, 1), (53, 2), (90, 1), (117, 1), (232, 1), (256, 1), (309, 1), (414, 1), (459, 3), (688, 1), (709, 1), (827, 1), (1118, 1), (1260, 1), (1308, 1), (1363, 1), (1467, 1), (1485, 1), (1698, 1), (3109, 1), (4109, 1), (5017, 1), (5921, 2), (7113, 1), (7114, 1), (7115, 1), (7116, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 3), (31, 2), (37, 1), (45, 1), (53, 6), (65, 2), (85, 1), (111, 1), (174, 1), (193, 1), (256, 1), (281, 1), (337, 1), (392, 1), (414, 1), (459, 1), (600, 1), (792, 1), (812, 1), (892, 1), (908, 1), (1057, 1), (1170, 1), (1224, 1), (1227, 1), (1354, 1), (1698, 1), (1867, 1), (1904, 1), (2348, 1), (2467, 1), (2868, 1), (3392, 1), (3655, 1), (4977, 1), (6186, 1), (6237, 1), (6318, 1), (7117, 1), (7118, 1), (7119, 1)], [(8, 1), (20, 3), (37, 1), (53, 5), (54, 2), (71, 2), (90, 1), (98, 1), (108, 1), (117, 2), (193, 1), (203, 1), (232, 2), (268, 1), (288, 1), (307, 1), (328, 1), (361, 1), (414, 1), (450, 1), (459, 1), (488, 1), (601, 1), (709, 1), (912, 1), (1139, 1), (1224, 1), (1363, 1), (1549, 1), (1627, 1), (2224, 1), (2347, 1), (2352, 1), (2826, 1), (2916, 1), (3614, 1), (5942, 1), (6623, 1), (6644, 1), (7120, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (25, 1), (53, 1), (84, 1), (201, 1), (241, 1), (310, 1), (892, 1), (1057, 1), (1799, 1), (2344, 1), (3083, 1), (3614, 1), (7121, 1), (7122, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (53, 1), (58, 1), (82, 1), (108, 1), (174, 1), (206, 1), (301, 1), (412, 1), (452, 1), (675, 1), (691, 1), (709, 1), (711, 1), (752, 1), (792, 1), (2029, 1), (2757, 1), (3726, 1), (4295, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 1), (50, 1), (53, 1), (54, 2), (71, 2), (77, 1), (228, 1), (236, 1), (268, 2), (288, 1), (301, 1), (307, 1), (328, 2), (487, 1), (738, 1), (2178, 1), (2202, 1), (2826, 1), (3181, 1), (4491, 1), (6129, 1), (7123, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (21, 1), (25, 3), (50, 2), (53, 1), (65, 2), (82, 1), (96, 2), (214, 1), (269, 1), (487, 1), (1779, 1), (2245, 1), (5191, 1), (5377, 1), (6344, 1), (7124, 1), (7125, 1), (7126, 1), (7127, 1), (7128, 1), (7129, 1), (7130, 1), (7131, 1), (7132, 1), (7133, 1), (7134, 1)], [(8, 1), (18, 1), (20, 6), (25, 1), (37, 1), (53, 1), (55, 1), (65, 1), (97, 1), (109, 1), (117, 1), (281, 1), (293, 1), (583, 1), (609, 1), (1248, 1), (1270, 1), (1348, 1), (2096, 1), (3070, 1), (7128, 1), (7135, 1), (7136, 1), (7137, 1), (7138, 1), (7139, 1), (7140, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (50, 1), (53, 1), (55, 1), (82, 1), (94, 1), (161, 1), (185, 1), (215, 1), (331, 1), (441, 1), (922, 1), (1102, 1), (1471, 1), (1522, 1), (1824, 1), (2089, 1), (4465, 1), (6229, 1), (7141, 1)], [(8, 1), (19, 3), (20, 6), (25, 3), (37, 2), (50, 7), (53, 12), (58, 1), (71, 1), (90, 1), (91, 1), (97, 1), (193, 1), (203, 1), (214, 1), (281, 1), (286, 1), (334, 1), (355, 1), (372, 1), (406, 1), (407, 2), (452, 1), (487, 1), (912, 1), (1284, 1), (1393, 1), (1488, 2), (1522, 1), (1567, 1), (1613, 1), (2096, 2), (2172, 1), (3223, 1), (3411, 1), (4073, 1), (4300, 1), (4483, 1), (6699, 1), (7102, 1), (7142, 1), (7143, 1), (7144, 1), (7145, 1), (7146, 1), (7147, 1), (7148, 1)], [(8, 1), (18, 1), (20, 6), (25, 4), (53, 1), (69, 1), (256, 1), (709, 1), (913, 1), (1904, 1), (2615, 1), (2718, 1), (3079, 5), (5526, 1), (7149, 1), (7150, 1), (7151, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (50, 2), (53, 4), (69, 1), (84, 1), (193, 1), (217, 1), (347, 1), (680, 1), (864, 1), (1127, 1), (1159, 1), (2359, 1), (2734, 1), (3854, 1), (6129, 1), (6546, 1), (7152, 1), (7153, 1), (7154, 1), (7155, 1), (7156, 1), (7157, 1), (7158, 1), (7159, 1)], [(8, 1), (18, 1), (20, 3), (25, 3), (50, 2), (54, 1), (108, 1), (215, 1), (301, 1), (307, 1), (328, 1), (414, 1), (448, 1), (487, 1), (829, 1), (1342, 1), (1363, 1), (2479, 1), (2817, 1), (3121, 1), (3230, 1), (4585, 1), (5583, 1), (5969, 1), (6248, 1), (7160, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (25, 2), (31, 1), (50, 1), (51, 1), (53, 1), (54, 1), (58, 1), (71, 1), (90, 1), (117, 1), (166, 1), (185, 1), (232, 1), (256, 1), (323, 2), (337, 1), (365, 1), (399, 1), (407, 1), (452, 1), (504, 1), (527, 1), (743, 1), (776, 1), (792, 1), (834, 1), (894, 1), (903, 1), (1836, 1), (1904, 1), (2150, 1), (2627, 1), (2912, 1), (2919, 1), (3061, 1), (3155, 1), (3230, 1), (3951, 1), (5200, 1), (5615, 1), (5969, 1), (6059, 1), (6113, 1), (6129, 1), (6318, 1), (7161, 1), (7162, 1), (7163, 1)], [(8, 1), (18, 4), (20, 1), (22, 2), (45, 1), (50, 4), (53, 3), (55, 3), (108, 3), (117, 3), (130, 1), (173, 1), (232, 3), (269, 2), (285, 1), (414, 1), (448, 1), (626, 1), (702, 1), (1139, 1), (1322, 1), (1342, 3), (1363, 1), (1572, 1), (1792, 1), (2265, 1), (2359, 1), (2466, 1), (3121, 1), (3339, 1), (3696, 1), (4783, 1), (7164, 1), (7165, 1), (7166, 1), (7167, 1), (7168, 1), (7169, 1), (7170, 1), (7171, 1)], [(8, 1), (20, 2), (21, 1), (54, 1), (72, 1), (81, 1), (97, 1), (161, 1), (215, 1), (792, 1), (1159, 2), (1296, 1), (2017, 1), (5264, 1), (6669, 1), (7172, 1), (7173, 2), (7174, 1)], [(8, 1), (18, 3), (19, 4), (20, 4), (25, 4), (29, 1), (31, 2), (37, 1), (50, 2), (54, 1), (65, 1), (75, 1), (90, 1), (97, 2), (111, 1), (185, 1), (240, 1), (331, 1), (410, 1), (414, 1), (418, 1), (516, 1), (709, 1), (792, 1), (990, 1), (1159, 2), (1322, 1), (1363, 1), (1750, 1), (1871, 1), (2005, 1), (2855, 1), (2987, 1), (3626, 1), (4148, 1), (4314, 1), (5323, 1), (5615, 1), (5758, 1), (6206, 1), (6318, 1), (6620, 1), (6833, 1), (7172, 1), (7173, 1), (7175, 1), (7176, 1), (7177, 1), (7178, 1), (7179, 1), (7180, 1), (7181, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (31, 2), (34, 1), (53, 2), (54, 1), (55, 1), (58, 1), (65, 1), (75, 1), (174, 1), (185, 1), (215, 1), (269, 1), (301, 1), (309, 1), (361, 1), (414, 1), (415, 1), (537, 1), (792, 1), (1322, 1), (1363, 1), (1379, 1), (1702, 1), (2096, 1), (2344, 1), (5211, 1), (6489, 1), (7182, 1), (7183, 1), (7184, 1), (7185, 1)], [(8, 1), (37, 1), (54, 1), (193, 1), (1377, 1), (1904, 1), (1911, 1), (3043, 1), (3921, 1), (6186, 1), (6318, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (30, 1), (45, 1), (50, 1), (53, 2), (55, 1), (90, 1), (108, 1), (173, 1), (174, 1), (193, 1), (197, 1), (209, 1), (281, 1), (310, 1), (410, 1), (912, 1), (1262, 1), (1850, 1), (2348, 1), (2686, 1), (2812, 1), (4442, 1), (5332, 1), (6318, 1), (7153, 1), (7186, 1), (7187, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (45, 2), (50, 1), (53, 4), (65, 1), (85, 1), (186, 1), (193, 2), (310, 1), (317, 1), (426, 1), (428, 1), (600, 1), (626, 1), (706, 1), (776, 1), (897, 1), (1045, 3), (1529, 1), (2771, 1), (3415, 1), (6186, 1), (6237, 1), (7124, 1), (7188, 1), (7189, 1), (7190, 1), (7191, 1)], [(8, 1), (19, 1), (20, 4), (23, 2), (25, 4), (45, 1), (50, 1), (53, 1), (54, 2), (173, 2), (206, 1), (215, 1), (288, 1), (410, 1), (412, 1), (414, 1), (420, 1), (453, 1), (702, 1), (709, 1), (1363, 1), (1764, 1), (1904, 1), (2239, 1), (3614, 1), (3756, 2), (5527, 1), (6315, 1), (7192, 1), (7193, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 3), (53, 3), (54, 2), (90, 1), (108, 1), (166, 1), (173, 1), (197, 1), (206, 1), (285, 1), (361, 1), (418, 1), (488, 1), (553, 1), (685, 1), (711, 1), (1260, 1), (1296, 2), (1488, 1), (2015, 1), (2084, 1), (3061, 1), (3482, 1), (3526, 1), (4896, 1), (4982, 1), (6186, 1), (6318, 1), (7194, 1), (7195, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (23, 3), (29, 1), (31, 1), (50, 1), (53, 4), (54, 1), (55, 1), (58, 1), (71, 1), (85, 1), (90, 1), (172, 1), (174, 1), (182, 1), (185, 1), (215, 1), (217, 1), (256, 1), (261, 1), (281, 1), (285, 1), (293, 2), (323, 1), (347, 1), (365, 1), (414, 1), (430, 1), (452, 1), (602, 1), (645, 1), (654, 1), (697, 1), (709, 1), (776, 1), (792, 1), (827, 1), (869, 1), (1149, 1), (1350, 1), (1465, 1), (1488, 1), (1580, 2), (1627, 1), (2228, 1), (2751, 1), (3418, 1), (4100, 1), (7196, 1), (7197, 1), (7198, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 1), (45, 1), (53, 1), (58, 1), (71, 1), (90, 1), (109, 1), (161, 1), (173, 2), (186, 1), (260, 1), (275, 1), (301, 1), (420, 1), (504, 1), (645, 1), (1196, 1), (1377, 1), (2222, 1), (3047, 1), (4722, 1), (4832, 1), (6688, 1), (7199, 1), (7200, 1), (7201, 1), (7202, 1)], [(8, 1), (54, 1), (55, 1), (58, 1), (185, 1), (289, 1), (331, 1), (506, 1), (697, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (233, 1), (342, 1), (527, 2), (3333, 1)], [(8, 1), (53, 1), (54, 1), (58, 1), (85, 1), (90, 1), (285, 1), (361, 1), (448, 1), (709, 1), (752, 1), (1342, 1), (2344, 1), (2359, 1), (3052, 1), (3134, 1), (5942, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (241, 1), (452, 1), (2354, 1), (2926, 1), (3134, 1), (3160, 1), (3614, 1), (5657, 1)], [(1544, 1), (7203, 1)], [(8, 1), (3493, 1), (7204, 1)], [(8, 1), (20, 2), (53, 1), (54, 1), (117, 1), (122, 1), (256, 1), (419, 1), (420, 1), (462, 1), (985, 1), (1241, 1), (1308, 1), (1732, 1), (2429, 1), (3026, 1), (3791, 1), (4728, 1), (7205, 1), (7206, 1), (7207, 1)], [(7, 1), (19, 1), (20, 3), (22, 2), (23, 3), (34, 1), (58, 1), (64, 2), (71, 1), (117, 2), (214, 1), (232, 1), (233, 1), (328, 1), (351, 1), (414, 1), (417, 1), (448, 1), (504, 1), (581, 1), (702, 1), (708, 1), (759, 1), (970, 1), (1163, 1), (1178, 1), (1322, 1), (2076, 1), (2601, 1), (3182, 1), (3480, 1), (3614, 1), (7208, 1)], [(64, 1), (1178, 1), (6994, 1)], [(8, 1), (18, 3), (19, 1), (20, 6), (25, 1), (31, 1), (53, 2), (75, 1), (84, 1), (109, 1), (193, 1), (246, 1), (281, 1), (309, 1), (434, 2), (506, 1), (686, 1), (688, 1), (727, 1), (824, 1), (884, 1), (897, 1), (922, 1), (1342, 1), (1377, 1), (1448, 1), (1462, 1), (2036, 1), (2296, 1), (2479, 1), (2867, 1), (2925, 1), (3614, 1), (5177, 1), (5913, 1), (6480, 1), (7209, 1), (7210, 1), (7211, 1)], [(8, 1), (54, 1), (122, 1), (7089, 1)], [(64, 1), (946, 1), (3482, 1), (3493, 1)], [(8, 1), (20, 1), (23, 1), (64, 1), (99, 1), (190, 1), (233, 1), (708, 1), (1163, 1), (7212, 1)], [(20, 2), (64, 2), (117, 1), (226, 1), (233, 1), (287, 1), (697, 1), (1163, 1), (1178, 1), (1377, 1), (2519, 1), (3614, 1), (7213, 1)], [(20, 1), (64, 1), (117, 1), (759, 1), (897, 1), (946, 1), (1764, 1), (3482, 1), (7214, 1)], [(20, 2), (23, 1), (50, 1), (64, 2), (77, 1), (90, 1), (96, 1), (214, 1), (233, 1), (256, 1), (419, 1), (1163, 1), (1714, 1), (1778, 1), (2245, 1), (6379, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (90, 1), (99, 2), (884, 1), (946, 1), (1195, 1), (1336, 1), (3034, 1), (5528, 1), (7089, 1), (7215, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 1), (25, 1), (50, 1), (53, 1), (55, 1), (64, 1), (90, 1), (109, 1), (117, 1), (233, 1), (268, 2), (407, 1), (506, 1), (759, 1), (1163, 1), (1165, 1), (1557, 1), (1695, 1), (2095, 1), (3614, 1), (5697, 1), (6536, 1), (7089, 1), (7216, 1), (7217, 1)], [(7, 1), (8, 1), (20, 1), (23, 1), (25, 1), (64, 2), (99, 1), (190, 1), (233, 1), (506, 1), (1163, 1), (1580, 1), (5288, 1), (6627, 1), (7089, 1), (7218, 1)], [(19, 2), (20, 1), (25, 2), (53, 1), (66, 1), (71, 1), (82, 1), (214, 1), (285, 1), (394, 1), (751, 1), (1155, 1), (1764, 1), (7219, 1), (7220, 1), (7221, 1)], [(20, 1), (64, 1), (71, 2), (295, 1), (1714, 1), (6517, 1)], [(626, 1), (946, 1), (2910, 1), (3962, 1), (6973, 1)], [(20, 2), (23, 1), (36, 1), (64, 2), (66, 1), (117, 1), (232, 1), (233, 1), (414, 1), (702, 1), (1163, 1), (2758, 1), (3614, 1)], [(64, 1), (1178, 1), (7222, 1)], [(8, 1), (18, 1), (20, 1), (347, 1), (419, 1), (420, 1), (434, 1), (1520, 1), (2925, 1), (4450, 1), (7089, 1), (7223, 1), (7224, 1), (7225, 1)], [(20, 2), (23, 1), (30, 1), (64, 2), (66, 1), (233, 1), (414, 1), (702, 1), (1163, 1), (1594, 1), (3614, 1), (6669, 1)], [(18, 1), (19, 1), (20, 2), (25, 1), (34, 1), (45, 1), (75, 1), (90, 1), (173, 1), (186, 1), (233, 1), (295, 1), (301, 1), (414, 1), (433, 1), (434, 1), (516, 1), (600, 1), (709, 1), (946, 1), (1157, 1), (1198, 1), (1458, 1), (1529, 1), (1580, 1), (1695, 1), (1764, 1), (1856, 1), (2005, 1), (2025, 1), (6773, 1), (7226, 1), (7227, 1)], [(7, 1), (19, 1), (20, 4), (22, 1), (23, 3), (34, 1), (50, 1), (54, 1), (58, 1), (64, 1), (65, 2), (66, 1), (71, 1), (111, 1), (185, 1), (236, 1), (256, 1), (278, 1), (404, 1), (600, 1), (792, 1), (1169, 1), (1196, 1), (1541, 1), (1778, 1), (2424, 1), (2655, 1), (2666, 1), (2872, 1), (3091, 1), (4145, 1), (5499, 1)], [(8, 1), (20, 1), (64, 1), (233, 1), (452, 1), (548, 1), (1163, 1), (2424, 2), (7089, 1)], [(19, 1), (64, 1), (66, 1), (295, 1), (7082, 1)], [(20, 3), (22, 2), (25, 1), (30, 1), (32, 1), (64, 1), (99, 1), (117, 1), (124, 2), (169, 1), (173, 1), (190, 1), (233, 1), (237, 1), (256, 1), (295, 1), (337, 1), (419, 1), (426, 1), (434, 1), (504, 1), (581, 1), (776, 1), (1458, 1), (1580, 1), (1714, 1), (1752, 1), (2025, 1), (2906, 1), (3718, 1), (4706, 1), (5475, 1)], [(64, 1), (323, 1), (946, 1), (7228, 1)], [(19, 1), (64, 1), (247, 1), (295, 1), (7082, 1)], [(19, 1), (295, 1), (1178, 1), (2926, 1)], [(8, 1), (20, 1), (173, 1), (673, 1), (708, 1), (1458, 1), (7229, 1)], [(64, 1), (247, 1), (1583, 1)], [(19, 1), (20, 3), (21, 2), (23, 1), (31, 1), (37, 2), (53, 1), (54, 1), (58, 2), (117, 2), (185, 1), (232, 1), (256, 1), (269, 1), (278, 1), (295, 1), (305, 1), (759, 1), (812, 2), (1594, 2), (1714, 1), (1764, 1), (1902, 1), (1972, 1), (2011, 1), (2319, 1), (2467, 1), (2926, 1), (6680, 1)], [(8, 1), (19, 1), (65, 1), (295, 1), (3642, 1), (6687, 1)], [(20, 1), (22, 1), (23, 1), (34, 1), (53, 1), (58, 1), (66, 1), (117, 2), (232, 1), (295, 1), (307, 1), (452, 1), (759, 1), (1458, 1), (1627, 1), (1822, 1), (3182, 1), (7230, 1), (7231, 1), (7232, 1)], [(8, 1), (20, 3), (31, 1), (45, 1), (53, 1), (55, 1), (78, 1), (108, 1), (173, 1), (193, 1), (206, 1), (268, 1), (331, 1), (506, 1), (1416, 1), (1519, 1), (2436, 1), (2758, 1), (3121, 1), (4659, 1), (6845, 1), (7233, 1), (7234, 1)], [(8, 1), (18, 1), (20, 3), (31, 1), (53, 1), (82, 1), (414, 1), (419, 1), (673, 1), (894, 1), (1260, 1), (1363, 1), (1628, 1), (1629, 1), (2344, 1), (2359, 1), (2453, 1), (3986, 1), (6129, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (37, 1), (50, 1), (53, 1), (54, 1), (55, 1), (388, 1), (414, 1), (459, 1), (1698, 1), (3028, 1), (4729, 1), (4851, 1), (5076, 1), (7114, 1), (7235, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 3), (419, 1), (430, 1), (894, 1), (1462, 1), (1958, 1), (3493, 1), (7236, 1), (7237, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (31, 1), (51, 1), (65, 1), (310, 1), (328, 1), (419, 1), (531, 1), (894, 1), (1308, 1), (2348, 1), (2365, 1), (2451, 1), (3360, 1), (3734, 1), (3864, 1), (7238, 1), (7239, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (36, 1), (45, 2), (54, 1), (193, 1), (281, 1), (406, 1), (418, 1), (976, 1), (2799, 1), (2977, 1), (2985, 1), (3468, 1), (4578, 1), (5800, 1), (7120, 1)], [(8, 1), (24, 1), (30, 1), (281, 1), (3266, 1), (7240, 1), (7241, 1)], [(19, 1), (20, 2), (64, 1), (170, 1), (172, 1), (419, 1), (581, 1), (711, 1), (726, 1), (946, 1), (1139, 1), (2076, 1), (3614, 1), (6217, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (193, 1), (233, 1), (1695, 1), (4945, 1), (7242, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (23, 2), (31, 1), (32, 1), (37, 1), (53, 1), (58, 2), (82, 2), (90, 2), (96, 1), (108, 1), (117, 1), (172, 2), (193, 1), (217, 1), (232, 1), (236, 1), (285, 1), (301, 1), (347, 1), (414, 1), (420, 1), (459, 1), (903, 1), (1149, 1), (1196, 1), (3255, 1), (3434, 1), (3466, 1), (3614, 1), (4145, 1), (4674, 1), (4728, 1), (7089, 1), (7243, 1), (7244, 1), (7245, 1)], [(8, 1), (19, 2), (20, 1), (22, 2), (23, 1), (25, 1), (26, 1), (30, 1), (53, 3), (55, 1), (90, 1), (186, 1), (274, 1), (301, 1), (310, 1), (347, 1), (387, 1), (419, 1), (454, 1), (1377, 1), (1458, 1), (1499, 1), (2826, 1), (3614, 1), (4532, 1), (4945, 1), (5583, 1), (6110, 1), (7246, 1), (7247, 1), (7248, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (36, 1), (45, 1), (53, 1), (54, 1), (58, 1), (75, 1), (117, 1), (124, 1), (215, 1), (232, 1), (281, 1), (310, 1), (328, 1), (504, 1), (654, 1), (897, 1), (1102, 1), (1227, 1), (1626, 1), (1638, 1), (1966, 1), (2140, 1), (3072, 1), (3103, 1), (3362, 1), (4945, 1)], [(64, 1), (247, 1), (7249, 1)], [(8, 1), (20, 1), (23, 1), (117, 1), (233, 1), (274, 1), (328, 1), (759, 1), (1163, 1), (1907, 1), (3614, 1)], [(64, 1), (247, 1), (1583, 1)], [(20, 1), (22, 1), (30, 1), (64, 1), (66, 1), (117, 1), (233, 1), (445, 1), (697, 1), (759, 1), (1163, 1), (1580, 1), (2850, 1), (2977, 1), (3291, 1), (3614, 1), (7250, 1), (7251, 1), (7252, 1)], [(64, 1), (1178, 1), (7253, 1)], [(20, 1), (23, 1), (45, 1), (64, 1), (90, 1), (233, 1), (1714, 1), (2977, 1), (3633, 1)], [(8, 1), (20, 4), (22, 2), (50, 1), (53, 2), (58, 1), (99, 1), (117, 2), (173, 2), (178, 1), (214, 1), (232, 2), (256, 1), (288, 1), (452, 1), (708, 1), (897, 1), (1377, 1), (1615, 1), (2079, 1), (2320, 1), (2977, 1), (3378, 1), (3614, 1), (4289, 1), (6098, 1), (7254, 1), (7255, 1)], [(20, 1), (247, 1), (708, 1), (3614, 1), (5975, 1)], [(8, 1), (20, 1), (99, 1), (117, 1), (173, 1), (708, 1), (1627, 1), (1670, 1), (2854, 1), (3059, 1)], [(23, 1), (66, 1), (117, 1), (173, 1), (759, 1), (1229, 1), (1907, 1), (2202, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (45, 1), (50, 1), (53, 2), (706, 1), (1044, 1), (1377, 1), (1731, 1), (2400, 1), (3283, 1), (3440, 1), (3614, 1), (4450, 1), (4945, 1)], [(8, 1), (23, 1), (53, 1), (193, 1), (704, 1), (1227, 1)], [(8, 1), (19, 1), (20, 1), (53, 3), (109, 1), (269, 1), (415, 1), (751, 1), (777, 1), (1044, 1), (2466, 1), (3435, 1), (4945, 1)], [(8, 1), (18, 1), (19, 4), (20, 10), (22, 1), (25, 5), (30, 1), (31, 5), (37, 1), (45, 2), (50, 4), (53, 5), (90, 2), (91, 1), (99, 1), (108, 1), (111, 1), (186, 1), (222, 1), (281, 1), (334, 1), (347, 1), (405, 1), (447, 1), (448, 1), (456, 1), (459, 1), (506, 1), (877, 1), (1115, 1), (1122, 1), (1308, 1), (1492, 1), (1760, 1), (1846, 1), (1997, 1), (2321, 1), (2324, 1), (2716, 1), (3200, 1), (3352, 1), (3467, 1), (3614, 1), (3658, 1), (4078, 1), (5585, 1), (5743, 1), (6399, 1), (6892, 1), (6913, 1), (7256, 1), (7257, 1), (7258, 1), (7259, 1), (7260, 1), (7261, 1), (7262, 1), (7263, 1), (7264, 1), (7265, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (22, 2), (25, 1), (30, 1), (31, 1), (45, 1), (50, 1), (54, 1), (58, 1), (65, 2), (97, 1), (214, 1), (281, 1), (289, 1), (414, 1), (428, 1), (448, 1), (452, 1), (531, 1), (798, 1), (833, 1), (834, 1), (885, 1), (1275, 1), (1296, 1), (1377, 1), (1487, 1), (1499, 1), (1556, 1), (1559, 1), (1610, 1), (1792, 1), (1903, 1), (2184, 1), (3994, 1), (5327, 1), (5797, 1), (6918, 1), (7266, 1), (7267, 1), (7268, 1), (7269, 1), (7270, 1), (7271, 1), (7272, 1)], [(8, 1), (20, 2), (50, 1), (53, 3), (58, 1), (65, 1), (68, 1), (109, 1), (117, 1), (173, 1), (197, 1), (206, 1), (232, 1), (487, 1), (506, 1), (529, 1), (632, 1), (706, 1), (777, 1), (1342, 1), (3440, 1), (3614, 1), (3784, 1), (4945, 1), (7273, 1), (7274, 1)], [(20, 1), (64, 1), (90, 1), (108, 1), (117, 1), (232, 1), (596, 1), (946, 1), (3614, 1)], [(20, 1), (22, 1), (64, 1), (65, 1), (247, 1), (810, 1), (2126, 1), (3602, 1), (5134, 1), (7275, 1)], [(247, 1), (2126, 1), (7252, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (31, 1), (36, 1), (45, 3), (53, 1), (54, 1), (55, 1), (58, 1), (65, 1), (97, 1), (347, 1), (410, 1), (414, 1), (418, 1), (419, 1), (420, 1), (448, 1), (459, 1), (903, 1), (1041, 1), (1044, 1), (1414, 1), (1628, 1), (1764, 1), (2168, 1), (2378, 1), (2479, 1), (2994, 1), (3005, 1), (3440, 1), (6658, 1), (7238, 1), (7276, 1), (7277, 1), (7278, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (30, 1), (32, 1), (53, 1), (58, 1), (276, 1), (281, 1), (2145, 1), (2911, 1), (3064, 1), (3419, 1), (4857, 1), (7279, 1), (7280, 1)], [(8, 1), (18, 1), (22, 3), (25, 1), (31, 1), (36, 1), (45, 1), (50, 1), (53, 1), (55, 1), (111, 1), (186, 1), (261, 1), (776, 1), (777, 1), (813, 1), (897, 3), (903, 1), (1227, 1), (3733, 1), (5176, 1), (5356, 1), (6930, 1), (7281, 1), (7282, 1), (7283, 1)], [(64, 1), (1178, 1), (7222, 1)], [(20, 1), (64, 1), (71, 1), (173, 1), (193, 1), (295, 1), (323, 1), (946, 1), (2344, 1), (7281, 1), (7284, 1)], [(20, 1), (23, 1), (64, 2), (420, 1), (600, 1), (752, 1), (946, 1), (1163, 1), (1169, 1), (1322, 1), (1747, 1), (7285, 1)], [(20, 3), (31, 1), (64, 1), (71, 1), (214, 1), (295, 2), (1159, 1), (1714, 1), (1764, 1), (4390, 1), (4939, 1)], [(8, 1), (19, 1), (65, 1), (361, 1), (1156, 1), (5921, 1)], [(24, 1), (66, 1), (426, 1), (1224, 1), (1904, 1), (2344, 1), (3482, 1)], [(64, 1), (596, 1), (946, 1), (1683, 1), (1904, 1), (6315, 1)], [(30, 1), (64, 1), (256, 1), (946, 1), (2010, 1), (2785, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (30, 1), (54, 1), (414, 1), (419, 1), (420, 1), (448, 1), (1433, 1), (1764, 1), (2030, 1), (2064, 1), (2772, 1), (3330, 1), (4982, 1), (4987, 1), (6315, 1)], [(64, 1), (247, 1), (7222, 1)], [(8, 1), (53, 1), (117, 1), (232, 1), (233, 1), (1163, 1), (7238, 1), (7286, 1), (7287, 1)], [(18, 2), (19, 1), (20, 3), (22, 2), (23, 1), (25, 1), (32, 1), (36, 1), (37, 1), (64, 1), (66, 1), (90, 1), (117, 1), (203, 1), (232, 1), (256, 1), (645, 1), (990, 1), (1572, 1), (1792, 1), (2178, 1), (3760, 1), (6463, 1), (7288, 1)], [(8, 1), (20, 1), (25, 1), (173, 1), (293, 1), (331, 1), (414, 1), (419, 1), (2064, 1), (2348, 1), (2351, 1), (3091, 1)], [(8, 1), (32, 1), (54, 1), (122, 1), (300, 1), (417, 1)], [(8, 1), (22, 3), (25, 2), (31, 2), (50, 1), (53, 4), (414, 2), (426, 1), (459, 2), (487, 1), (569, 1), (904, 1), (979, 1), (1115, 1), (1238, 1), (1363, 2), (1506, 1), (1608, 1), (2148, 1), (2344, 1), (3150, 1), (3151, 1), (3726, 1), (3934, 1), (4781, 1), (7190, 1), (7289, 1), (7290, 1)], [(8, 1), (45, 1), (388, 1), (1904, 1), (3467, 1), (4729, 1), (5169, 1), (6315, 1), (7291, 1), (7292, 1)], [(1544, 1), (7293, 1)], [(8, 1), (6888, 1), (7294, 1)], [(18, 3), (19, 1), (20, 13), (21, 2), (25, 5), (31, 2), (37, 1), (40, 1), (50, 1), (53, 10), (55, 1), (65, 5), (85, 1), (95, 1), (108, 2), (109, 2), (117, 1), (185, 1), (217, 1), (232, 1), (233, 1), (281, 1), (337, 3), (347, 2), (373, 1), (392, 1), (406, 1), (418, 1), (433, 1), (702, 1), (708, 1), (709, 1), (1159, 2), (1224, 1), (1572, 2), (1574, 1), (1792, 1), (1871, 1), (2077, 1), (2344, 1), (2359, 1), (2667, 1), (3079, 1), (3841, 1), (4537, 1), (4687, 1), (4728, 1), (4729, 1), (6129, 1), (6186, 2), (6261, 1), (6318, 1), (7171, 1), (7173, 1), (7190, 1), (7295, 1), (7296, 1), (7297, 1), (7298, 1), (7299, 1), (7300, 1), (7301, 1)], [(8, 1), (20, 2), (64, 1), (77, 1), (99, 1), (214, 1), (346, 1), (970, 1), (1195, 1), (1260, 1), (1541, 1), (1714, 1), (7286, 1)], [(19, 2), (20, 1), (21, 2), (30, 1), (37, 1), (71, 1), (77, 1), (109, 1), (124, 1), (527, 1), (569, 1), (1714, 1), (1731, 1), (1904, 1), (2855, 1), (3083, 1), (3389, 1), (6289, 1), (6315, 1)], [(8, 1), (20, 2), (37, 1), (897, 1), (1354, 1), (2013, 1), (3633, 1)], [(21, 1), (117, 2), (226, 1), (1178, 1), (2906, 2), (4957, 1), (5684, 1), (7302, 1)], [(20, 5), (25, 1), (50, 1), (53, 1), (55, 1), (64, 2), (66, 1), (84, 1), (179, 1), (201, 1), (233, 1), (245, 1), (256, 1), (334, 1), (1163, 1), (1165, 1), (1324, 1), (1685, 1), (2436, 1), (3353, 1), (4839, 1), (5105, 1), (5288, 1), (6186, 1), (6318, 1), (7286, 1)], [(32, 1), (247, 1), (1347, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (25, 1), (31, 1), (37, 1), (50, 1), (53, 3), (55, 1), (58, 1), (65, 2), (71, 1), (75, 1), (108, 1), (193, 1), (215, 3), (240, 1), (281, 1), (325, 1), (365, 1), (414, 1), (452, 1), (459, 2), (504, 1), (711, 1), (1012, 1), (1287, 1), (1488, 1), (1731, 1), (1764, 1), (1904, 2), (2064, 1), (2075, 1), (2272, 1), (4480, 1), (6186, 1), (6318, 1), (6593, 1), (7303, 1), (7304, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (30, 1), (31, 1), (50, 1), (53, 1), (54, 2), (71, 1), (108, 1), (173, 1), (182, 1), (215, 1), (233, 1), (268, 1), (331, 1), (711, 1), (1308, 1), (1824, 1), (1904, 1), (2306, 1), (4729, 1), (6315, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (45, 1), (53, 2), (54, 2), (85, 1), (90, 1), (240, 1), (268, 1), (301, 1), (365, 1), (709, 1), (897, 1), (1159, 1), (1487, 1), (2151, 1), (3061, 1), (4465, 1), (5234, 1), (7195, 1), (7305, 1), (7306, 1)], [(8, 1), (20, 3), (21, 2), (22, 1), (25, 1), (37, 1), (45, 1), (53, 1), (54, 2), (82, 2), (90, 1), (117, 1), (173, 1), (193, 1), (215, 2), (232, 1), (233, 1), (256, 1), (293, 1), (711, 1), (1824, 1), (1904, 1), (2245, 1), (3257, 1), (3419, 1), (3667, 1), (3907, 1), (3923, 1), (4299, 1), (6315, 1), (6364, 1), (7307, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (31, 1), (37, 1), (53, 5), (55, 2), (65, 1), (108, 2), (185, 1), (186, 1), (215, 1), (228, 1), (256, 1), (307, 1), (311, 1), (316, 1), (331, 1), (337, 1), (414, 1), (450, 1), (569, 1), (709, 1), (711, 1), (777, 1), (812, 1), (903, 1), (904, 1), (1342, 1), (1498, 1), (1613, 1), (1937, 1), (1966, 1), (2015, 1), (2064, 1), (2089, 1), (2178, 1), (2334, 1), (2766, 1), (3101, 1), (3287, 1), (3852, 1), (3907, 1), (4388, 1), (4729, 1), (6416, 1), (6982, 1), (7255, 1), (7308, 1)], [(8, 1), (19, 1), (20, 1), (32, 1), (37, 1), (53, 1), (54, 2), (82, 1), (108, 1), (289, 1), (301, 1), (328, 1), (342, 1), (687, 1), (777, 1), (1196, 1), (1904, 1), (3760, 1), (6186, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (36, 1), (50, 1), (53, 1), (82, 1), (407, 1), (903, 1), (1685, 1), (6318, 1), (6769, 1), (7309, 1)], [(8, 1), (20, 2), (50, 1), (53, 2), (64, 1), (65, 1), (173, 1), (193, 1), (215, 1), (226, 1), (295, 1), (317, 1), (1042, 1), (1163, 1), (2076, 1), (2925, 1), (6992, 1), (7310, 1), (7311, 1), (7312, 1)], [(8, 1), (20, 1), (64, 1), (66, 1), (117, 1), (1195, 1), (2621, 1), (2906, 1), (4957, 1), (7286, 1)], [(53, 1), (64, 1), (328, 1), (1178, 1), (6236, 1), (7313, 1)], [(8, 1), (21, 1), (53, 1), (54, 1), (902, 1), (3134, 1)], [(8, 1), (19, 3), (20, 3), (22, 1), (23, 1), (25, 1), (31, 1), (46, 1), (53, 5), (54, 2), (71, 1), (108, 1), (185, 1), (186, 1), (209, 1), (240, 1), (307, 1), (327, 1), (387, 1), (414, 1), (607, 1), (609, 1), (812, 1), (902, 1), (1363, 1), (2272, 1), (3134, 1), (3275, 1), (3287, 1), (5409, 1), (5583, 1), (6129, 1), (6236, 1), (7191, 1), (7255, 1), (7314, 1)], [(53, 1), (64, 1), (247, 1), (5358, 1), (7315, 1)], [(25, 1), (1178, 1), (1963, 1), (3786, 1), (5719, 1), (7316, 1)], [(8, 1), (20, 1), (21, 1), (25, 1), (53, 3), (54, 1), (108, 1), (1506, 1), (3134, 1), (3590, 1), (4666, 1), (7317, 1)], [(7, 1), (8, 1), (20, 1), (31, 1), (50, 1), (53, 4), (77, 1), (222, 1), (346, 1), (709, 1), (1462, 1), (1487, 1), (1596, 1), (3061, 1), (3907, 1), (5233, 1), (7306, 1), (7318, 1)], [(8, 1), (18, 3), (19, 5), (20, 12), (21, 2), (23, 1), (25, 1), (31, 5), (32, 1), (37, 1), (45, 1), (46, 1), (50, 4), (53, 9), (54, 2), (55, 2), (58, 1), (65, 1), (71, 2), (96, 1), (108, 2), (161, 1), (172, 1), (173, 3), (182, 1), (190, 1), (193, 2), (226, 1), (269, 1), (273, 1), (323, 2), (331, 1), (353, 1), (355, 1), (410, 1), (415, 2), (448, 1), (601, 1), (777, 1), (812, 1), (813, 1), (827, 1), (902, 1), (903, 1), (1238, 1), (1354, 1), (1361, 1), (1377, 1), (1695, 1), (2178, 1), (2239, 1), (2258, 1), (2272, 1), (2277, 1), (2987, 1), (3083, 1), (3287, 1), (3382, 1), (3447, 1), (3562, 1), (3907, 2), (4198, 1), (4282, 1), (4408, 1), (4775, 1), (5368, 1), (5728, 1), (6186, 1), (6301, 1), (6318, 2), (6337, 1), (7289, 1), (7319, 1), (7320, 1), (7321, 1), (7322, 1), (7323, 1), (7324, 1), (7325, 1), (7326, 1), (7327, 1), (7328, 1), (7329, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 1), (31, 2), (45, 1), (50, 1), (53, 1), (71, 1), (82, 1), (90, 1), (91, 1), (117, 1), (179, 1), (232, 1), (268, 1), (285, 1), (347, 2), (412, 1), (414, 1), (725, 1), (772, 1), (1129, 1), (1248, 1), (1363, 1), (1487, 1), (1667, 1), (1974, 1), (2119, 1), (2480, 1), (3061, 1), (3121, 1), (3324, 1), (3828, 1), (4846, 1), (4852, 1), (5615, 1), (6129, 1), (6318, 1), (7173, 1), (7306, 1), (7330, 1), (7331, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 3), (407, 1), (415, 1), (709, 1), (1305, 1), (1596, 1), (1904, 1), (2070, 1), (2966, 1), (6186, 1), (7332, 1), (7333, 1), (7334, 1), (7335, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (23, 2), (25, 1), (31, 1), (50, 1), (53, 5), (55, 1), (69, 1), (71, 1), (108, 1), (166, 1), (167, 1), (173, 1), (186, 1), (236, 1), (285, 1), (307, 1), (414, 2), (419, 1), (709, 1), (744, 1), (772, 1), (922, 1), (1488, 1), (1580, 1), (1620, 1), (1685, 1), (2162, 1), (2479, 1), (3083, 1), (3287, 1), (3358, 1), (3611, 1), (3614, 1), (3907, 1), (4581, 1), (6593, 1), (6601, 1), (7336, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (23, 2), (25, 2), (31, 3), (45, 2), (50, 3), (53, 3), (54, 2), (55, 1), (65, 1), (71, 1), (90, 1), (109, 1), (193, 1), (201, 1), (236, 1), (321, 1), (420, 1), (448, 1), (601, 1), (828, 1), (894, 1), (1122, 1), (1149, 1), (1502, 1), (1574, 1), (1580, 2), (1626, 1), (1904, 1), (2039, 1), (2324, 1), (2467, 1), (3117, 1), (3331, 1), (3594, 1), (3638, 1), (4136, 1), (4192, 1), (5125, 1), (6186, 1), (6318, 1), (6463, 1), (6577, 1), (6627, 1), (7337, 1), (7338, 1), (7339, 1), (7340, 1)], [(8, 1), (54, 1), (658, 1), (763, 1), (1580, 1), (3270, 1)], [(31, 1), (53, 2), (64, 1), (90, 1), (697, 1), (711, 1), (946, 1), (2334, 1), (2909, 1), (6293, 1), (7341, 1)], [(8, 1), (173, 1), (5728, 1)], [(20, 2), (22, 1), (25, 1), (64, 1), (65, 1), (247, 1), (357, 1), (706, 1), (2680, 1), (3189, 1), (4841, 1), (7342, 1), (7343, 1), (7344, 1)], [(20, 2), (21, 1), (23, 1), (37, 1), (50, 1), (117, 1), (247, 1), (273, 1), (295, 2), (759, 1), (1845, 1), (1907, 1), (2680, 2)], [(247, 1), (6949, 1)], [(8, 1), (20, 3), (22, 2), (53, 1), (55, 1), (65, 1), (328, 1), (357, 2), (1131, 1), (2332, 1), (2680, 3), (2901, 1), (3967, 1), (7296, 1), (7345, 1), (7346, 1)], [(20, 3), (23, 1), (25, 1), (37, 1), (50, 1), (85, 1), (261, 1), (273, 1), (295, 1), (324, 1), (1178, 1), (2680, 1), (7342, 1)], [(8, 1), (20, 3), (25, 1), (45, 2), (53, 1), (55, 1), (173, 1), (226, 1), (293, 1), (328, 1), (331, 1), (452, 1), (708, 1), (1529, 1), (2466, 1), (2543, 1), (3091, 1), (3553, 1), (3562, 1), (3638, 1), (3898, 1), (4815, 1), (5996, 1), (6318, 1), (7329, 1), (7347, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (65, 1), (172, 1), (203, 1), (217, 1), (361, 1), (1901, 1), (1904, 1), (3144, 1), (6186, 1), (7348, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (54, 1), (186, 1), (419, 1), (459, 1), (708, 1), (753, 1), (2344, 1), (2359, 1), (3287, 1), (3751, 1), (5921, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (31, 2), (53, 2), (54, 1), (69, 1), (122, 1), (215, 2), (246, 1), (281, 1), (361, 1), (419, 1), (428, 1), (434, 1), (583, 1), (894, 1), (1224, 1), (1485, 2), (1887, 1), (2275, 1), (2322, 1), (2340, 1), (2432, 1), (2532, 1), (3510, 1), (5755, 1), (6888, 1), (7349, 1), (7350, 1), (7351, 1), (7352, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (31, 1), (50, 2), (53, 4), (109, 1), (174, 1), (414, 1), (448, 1), (449, 1), (516, 1), (587, 1), (692, 1), (778, 1), (1223, 1), (1693, 1), (2405, 1), (2694, 1), (2944, 1), (3508, 1), (4282, 1), (7353, 1), (7354, 1), (7355, 1), (7356, 1)], [(20, 8), (25, 5), (37, 1), (40, 1), (45, 1), (51, 1), (53, 6), (215, 2), (338, 1), (428, 1), (459, 1), (518, 1), (763, 1), (777, 1), (1076, 1), (1131, 1), (1159, 1), (1813, 1), (1932, 1), (2030, 1), (2239, 1), (2319, 1), (2343, 1), (2638, 1), (3907, 1), (4463, 1), (5710, 1), (5721, 1), (6318, 1), (7357, 1), (7358, 1), (7359, 1), (7360, 1), (7361, 1), (7362, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (64, 1), (672, 1), (1131, 1), (1716, 1), (2191, 1), (2400, 1), (3714, 1), (7363, 1), (7364, 1), (7365, 1)], [(19, 1), (20, 1), (51, 1), (53, 1), (66, 1), (68, 1), (241, 1), (2036, 1), (2163, 1), (2296, 1), (4126, 1), (7366, 1), (7367, 1)], [(8, 1), (19, 1), (124, 1), (506, 1), (792, 1), (833, 1), (834, 1), (897, 1), (2436, 1), (3709, 1), (4167, 1), (6669, 1), (7368, 1)], [(8, 1), (25, 1), (50, 1), (263, 1), (459, 1), (530, 1), (3701, 1), (7369, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 3), (31, 2), (50, 2), (53, 3), (54, 1), (58, 1), (90, 1), (185, 1), (186, 1), (193, 1), (228, 1), (293, 1), (328, 1), (506, 1), (704, 1), (897, 1), (903, 1), (1116, 1), (1224, 1), (1528, 1), (1580, 1), (1824, 1), (2237, 1), (2475, 1), (2650, 1), (2680, 1), (2690, 1), (3360, 1), (4136, 1), (4293, 1), (6775, 1), (7370, 1), (7371, 1), (7372, 1), (7373, 1), (7374, 1), (7375, 1), (7376, 1), (7377, 1), (7378, 1), (7379, 1), (7380, 1), (7381, 1)], [(8, 1), (20, 1), (53, 1), (90, 1), (268, 1), (418, 1), (419, 1), (459, 1), (531, 1), (744, 1), (1850, 1), (2344, 1), (2359, 1), (2927, 1), (5486, 1), (7184, 1), (7328, 1)], [(8, 1), (24, 1), (65, 1), (90, 1), (347, 1), (373, 1), (434, 1), (752, 1), (2911, 1), (3554, 1), (6268, 1), (7382, 1), (7383, 1)], [(8, 1), (20, 2), (25, 2), (54, 1), (82, 1), (122, 1), (185, 1), (193, 1), (288, 1), (459, 1), (1613, 1), (1904, 1), (3495, 1), (6186, 1), (6318, 2), (7384, 1), (7385, 1), (7386, 1)], [(7, 2), (18, 9), (19, 9), (20, 16), (21, 1), (22, 15), (23, 2), (25, 7), (30, 1), (31, 3), (37, 1), (45, 2), (50, 3), (51, 3), (53, 8), (55, 1), (58, 1), (64, 1), (65, 2), (66, 1), (69, 1), (75, 1), (97, 2), (98, 1), (108, 2), (124, 1), (173, 1), (174, 2), (178, 1), (186, 1), (193, 1), (197, 2), (215, 5), (273, 2), (281, 1), (286, 1), (289, 1), (293, 2), (306, 1), (310, 1), (328, 1), (387, 1), (405, 1), (414, 2), (426, 1), (428, 1), (433, 2), (448, 1), (452, 1), (459, 1), (531, 1), (581, 2), (645, 1), (697, 1), (708, 1), (709, 3), (776, 1), (800, 1), (886, 1), (970, 1), (1041, 1), (1088, 1), (1270, 1), (1308, 1), (1325, 1), (1348, 1), (1391, 1), (1416, 1), (1458, 1), (1460, 1), (1488, 1), (1540, 1), (1656, 1), (1690, 1), (1824, 1), (1932, 1), (2064, 2), (2178, 2), (2189, 1), (2228, 1), (2265, 1), (2280, 1), (2296, 1), (2304, 6), (2305, 1), (2315, 1), (2320, 1), (2344, 1), (2400, 1), (2479, 1), (2541, 1), (2977, 1), (2993, 1), (3162, 1), (3611, 1), (3810, 1), (3828, 1), (4132, 1), (4500, 1), (4600, 1), (4652, 1), (4729, 1), (5288, 1), (5323, 1), (5325, 1), (5655, 1), (6186, 2), (6268, 1), (6281, 1), (6318, 1), (6476, 1), (6593, 1), (6687, 1), (6992, 1), (7308, 1), (7387, 1), (7388, 1), (7389, 1), (7390, 1), (7391, 1), (7392, 1), (7393, 1), (7394, 1), (7395, 1), (7396, 1), (7397, 1), (7398, 1), (7399, 1), (7400, 1), (7401, 3), (7402, 1), (7403, 1), (7404, 1), (7405, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (31, 1), (37, 1), (45, 2), (53, 1), (54, 1), (58, 1), (108, 2), (124, 1), (173, 1), (209, 1), (220, 1), (256, 1), (278, 1), (328, 1), (420, 1), (426, 1), (516, 1), (707, 1), (1377, 1), (2354, 1), (5258, 1), (5263, 1), (6186, 1), (7400, 1), (7406, 1), (7407, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (21, 1), (25, 1), (32, 2), (53, 1), (55, 1), (82, 1), (98, 2), (109, 1), (173, 1), (278, 1), (331, 1), (742, 1), (792, 1), (884, 1), (1572, 1), (1792, 1), (2064, 1), (4729, 1), (6364, 1), (7286, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (21, 1), (30, 1), (45, 1), (50, 1), (51, 1), (55, 1), (173, 1), (193, 1), (203, 1), (287, 1), (301, 1), (410, 1), (419, 1), (702, 1), (813, 1), (1170, 1), (1904, 1), (2344, 1), (2406, 1), (2667, 1), (2993, 1), (3015, 1), (5130, 1), (6318, 1)], [(53, 1), (65, 1), (247, 1), (328, 1), (1042, 1), (6900, 1), (7408, 1)], [(247, 1), (1335, 1), (7409, 1)], [(7, 1), (19, 1), (20, 1), (32, 1), (247, 1), (688, 1), (702, 1), (7363, 1), (7382, 1)], [(8, 1), (20, 3), (21, 1), (273, 1), (324, 1), (702, 1), (1858, 1), (2344, 1), (2577, 1), (3786, 1), (6318, 1), (7410, 1)], [(8, 3), (18, 1), (19, 4), (20, 3), (21, 4), (23, 1), (25, 2), (31, 1), (37, 1), (51, 1), (65, 1), (108, 1), (117, 1), (172, 1), (185, 1), (295, 5), (361, 1), (609, 1), (1195, 2), (1248, 1), (1361, 1), (2178, 2), (2852, 1), (2854, 1), (3425, 1), (3634, 1), (5939, 3), (6687, 1), (7286, 1), (7295, 1), (7411, 1), (7412, 1)], [(25, 1), (1178, 1), (1324, 1), (2931, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (51, 1), (64, 1), (69, 1), (172, 1), (295, 2), (332, 1), (600, 1), (1163, 1), (1868, 1), (3000, 1), (3655, 1), (6318, 1), (7083, 1), (7413, 1), (7414, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (23, 1), (25, 1), (31, 1), (32, 1), (37, 1), (50, 1), (53, 1), (64, 1), (71, 1), (77, 1), (90, 1), (91, 1), (117, 2), (172, 2), (173, 1), (287, 1), (293, 1), (295, 4), (399, 1), (673, 1), (830, 1), (1488, 1), (1627, 1), (1899, 1), (1904, 1), (2241, 1), (2475, 1), (2564, 1), (2854, 2), (2967, 1), (3426, 1), (3701, 1), (3950, 1), (6315, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (295, 1), (2577, 1), (2775, 1), (3934, 1), (7415, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (77, 1), (117, 1), (263, 1), (295, 1), (759, 1), (775, 1), (778, 1), (913, 1), (1248, 1), (2178, 1), (3024, 1), (3100, 1), (3613, 1), (4408, 1), (7416, 1), (7417, 1), (7418, 1), (7419, 1)], [(8, 1), (53, 1), (388, 1), (1140, 1)], [(8, 1), (20, 1), (117, 1), (324, 1), (759, 1), (974, 1), (3613, 1), (4661, 1), (7420, 1)], [(8, 2), (20, 1), (53, 1), (90, 1), (117, 1), (759, 1), (1105, 1), (1195, 1), (1594, 1), (1907, 1), (3079, 1), (7158, 1), (7286, 1), (7421, 1)], [(247, 1), (1583, 1)], [(31, 1), (53, 2), (65, 1), (214, 1), (247, 1), (752, 1), (1131, 1), (1749, 1), (7422, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (58, 1), (90, 1), (95, 1), (117, 6), (232, 3), (256, 1), (278, 1), (289, 1), (345, 1), (412, 1), (600, 1), (687, 1), (759, 2), (974, 1), (1907, 1), (2178, 1), (3053, 1), (3613, 1), (4975, 1), (7423, 1), (7424, 1), (7425, 1)], [(8, 2), (18, 1), (19, 1), (20, 2), (22, 1), (23, 1), (53, 1), (54, 1), (58, 1), (220, 1), (236, 1), (531, 1), (884, 1), (1195, 1), (2961, 1), (6316, 1), (6599, 1), (7295, 1), (7426, 1)], [(8, 2), (20, 2), (50, 1), (53, 1), (193, 1), (295, 1), (869, 1), (1087, 1), (1195, 1), (3641, 1), (7411, 1), (7427, 1), (7428, 1)], [(20, 1), (65, 2), (247, 1), (2178, 1), (3642, 1), (6687, 2)], [(8, 2), (20, 1), (22, 1), (31, 1), (53, 1), (58, 1), (90, 1), (117, 2), (174, 1), (278, 1), (310, 1), (759, 1), (1195, 1), (1867, 1), (2515, 1), (2854, 1), (2984, 1), (3613, 1), (7286, 1), (7429, 1)], [(20, 2), (21, 1), (25, 1), (53, 2), (54, 1), (55, 1), (58, 1), (295, 1), (504, 1), (1198, 1), (1594, 1), (2577, 1), (2775, 1), (5257, 1), (6008, 1), (7430, 1), (7431, 1)], [(20, 2), (22, 1), (64, 1), (702, 1), (1178, 1), (1324, 1), (1904, 1), (1932, 1), (2234, 1), (3280, 1), (6318, 1), (7432, 1)], [(8, 1), (20, 2), (25, 2), (30, 1), (53, 2), (55, 1), (90, 1), (373, 1), (428, 1), (632, 1), (777, 1), (2479, 1), (5994, 1), (6186, 1), (7433, 1)], [(8, 1), (18, 1), (20, 2), (22, 4), (25, 2), (53, 3), (65, 1), (373, 1), (418, 1), (419, 1), (428, 1), (516, 1), (996, 1), (1116, 1), (1224, 1), (1248, 1), (1610, 1), (1768, 1), (2036, 1), (2163, 1), (2275, 1), (2725, 1), (3095, 1), (3352, 1), (3378, 1), (4383, 1), (4407, 1), (4966, 1), (5664, 1), (5916, 1), (6079, 1), (6489, 1), (7434, 1), (7435, 1), (7436, 1), (7437, 1), (7438, 1)], [(1544, 1), (7439, 1)], [(8, 1), (24, 1), (7440, 1), (7441, 1)], [(8, 1), (18, 1), (20, 4), (31, 1), (50, 1), (53, 1), (54, 1), (193, 1), (269, 1), (626, 1), (757, 1), (1090, 1), (1999, 1), (2213, 1), (2434, 1), (3019, 1), (3038, 1), (3384, 1), (4637, 1), (7442, 1), (7443, 1)], [(20, 2), (23, 1), (34, 1), (53, 2), (90, 1), (117, 1), (193, 1), (232, 1), (247, 1), (256, 1), (323, 1), (414, 1), (428, 1), (435, 1), (743, 1), (1159, 2), (1224, 1), (2275, 1), (2501, 1), (2650, 1), (2965, 1), (3013, 1), (3019, 1), (4282, 1), (4533, 1), (5721, 1), (5858, 1), (6129, 1), (7444, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 1), (31, 1), (53, 1), (55, 1), (65, 1), (108, 1), (109, 1), (117, 1), (166, 1), (281, 1), (293, 1), (323, 1), (404, 1), (609, 1), (645, 1), (708, 1), (1298, 1), (1458, 1), (1488, 1), (1588, 1), (1702, 1), (1731, 1), (1977, 1), (2265, 1), (2304, 1), (2468, 1), (2650, 1), (2950, 1), (4771, 1), (6197, 1), (7445, 1), (7446, 1), (7447, 1)], [(8, 1), (19, 1), (24, 1), (45, 1), (405, 1), (704, 1), (903, 1), (3547, 1)], [(8, 1), (22, 2), (40, 1), (50, 1), (53, 2), (65, 1), (77, 1), (185, 1), (214, 1), (268, 1), (338, 1), (462, 1), (487, 1), (3019, 1), (3745, 1), (4328, 1), (4627, 1), (7181, 1), (7448, 1), (7449, 1), (7450, 1), (7451, 1), (7452, 1)], [(8, 1), (20, 1), (30, 1), (53, 2), (55, 2), (58, 1), (65, 1), (90, 2), (215, 1), (273, 1), (405, 1), (496, 1), (506, 1), (709, 1), (1308, 1), (1590, 1), (2469, 1), (2543, 1), (6633, 1), (7453, 1), (7454, 1), (7455, 1)], [(8, 1), (19, 1), (20, 6), (22, 2), (24, 1), (31, 1), (37, 1), (53, 2), (77, 2), (84, 1), (90, 1), (117, 1), (232, 1), (282, 1), (285, 1), (311, 1), (691, 1), (795, 1), (2272, 3), (2852, 1), (2883, 1), (5000, 1), (7177, 1), (7179, 1), (7456, 1), (7457, 1), (7458, 1), (7459, 1)], [(8, 1), (20, 5), (22, 2), (25, 1), (31, 1), (37, 1), (50, 1), (53, 3), (58, 1), (77, 1), (90, 2), (92, 2), (117, 1), (203, 1), (232, 1), (256, 1), (269, 1), (285, 1), (301, 1), (405, 2), (497, 1), (709, 1), (885, 1), (1102, 1), (1159, 1), (1322, 1), (1585, 1), (2272, 1), (3641, 1), (4013, 1), (7460, 1), (7461, 1), (7462, 1), (7463, 1), (7464, 1)], [(20, 1), (22, 4), (31, 1), (37, 3), (53, 2), (90, 1), (108, 1), (117, 3), (232, 2), (247, 1), (285, 1), (293, 1), (365, 1), (428, 1), (452, 1), (569, 1), (601, 1), (708, 1), (752, 1), (1068, 1), (1159, 4), (1308, 1), (1322, 1), (1458, 1), (1671, 1), (1813, 1), (2230, 1), (2883, 1), (3102, 1), (3321, 1), (4692, 1), (4878, 1), (5288, 1), (6116, 1), (6221, 1), (7465, 1), (7466, 1), (7467, 1), (7468, 1), (7469, 1), (7470, 1), (7471, 1), (7472, 1)], [(20, 1), (32, 1), (295, 1), (1714, 1), (3019, 1), (7473, 1)], [(19, 3), (20, 2), (22, 2), (25, 1), (34, 1), (37, 1), (50, 4), (53, 5), (77, 1), (90, 2), (168, 1), (256, 1), (295, 1), (338, 1), (365, 1), (414, 1), (430, 1), (569, 1), (1001, 1), (1159, 2), (1470, 1), (1529, 1), (1628, 1), (1685, 1), (1714, 1), (1813, 1), (2515, 1), (2605, 1), (3358, 1), (3409, 1), (4473, 1), (5144, 1), (5659, 1), (5676, 1), (6805, 1), (7474, 1), (7475, 1), (7476, 1), (7477, 1), (7478, 1), (7479, 1)], [(19, 1), (20, 5), (21, 1), (31, 2), (53, 1), (58, 1), (70, 1), (71, 1), (77, 1), (90, 2), (215, 2), (247, 1), (260, 1), (281, 1), (293, 1), (301, 1), (332, 1), (459, 1), (504, 1), (833, 1), (1296, 1), (1329, 1), (2465, 1), (2629, 1), (3206, 1), (3409, 1), (5899, 1), (6794, 1), (7179, 1), (7471, 1), (7480, 1), (7481, 1), (7482, 1), (7483, 1)], [(20, 2), (65, 1), (191, 1), (247, 1), (286, 1), (516, 1), (897, 1), (5134, 1)], [(19, 1), (247, 1), (285, 1), (323, 1), (405, 1), (3684, 1), (7484, 1)], [(50, 1), (53, 1), (247, 1), (3402, 1), (4971, 1)], [(37, 1), (77, 1), (185, 1), (293, 1), (1714, 1), (1823, 1), (7485, 1)], [(20, 2), (29, 2), (88, 1), (247, 1), (1755, 1), (3019, 1), (4942, 1)], [(20, 1), (245, 1), (247, 1), (7486, 1), (7487, 1), (7488, 1)], [(20, 1), (21, 1), (50, 1), (53, 1), (65, 1), (109, 1), (186, 1), (247, 1), (583, 1), (1009, 1), (1720, 1), (2432, 1), (4841, 2), (4959, 1), (7489, 1), (7490, 1)], [(1544, 1), (7491, 1)], [(8, 1), (24, 1), (7492, 1)], [(8, 1), (18, 1), (19, 3), (20, 3), (22, 2), (23, 2), (25, 3), (31, 1), (32, 1), (37, 1), (50, 4), (53, 1), (63, 1), (71, 1), (185, 2), (187, 1), (209, 1), (214, 1), (215, 2), (225, 1), (242, 1), (295, 2), (399, 1), (434, 1), (702, 1), (1310, 1), (1509, 1), (1708, 2), (1964, 1), (2096, 2), (2245, 2), (2627, 1), (3181, 1), (3614, 1), (4299, 1), (5910, 1), (7493, 1), (7494, 1), (7495, 1), (7496, 1), (7497, 1), (7498, 1), (7499, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (50, 1), (53, 4), (55, 1), (58, 1), (69, 1), (71, 1), (72, 1), (77, 1), (82, 1), (90, 1), (96, 1), (193, 1), (214, 1), (359, 1), (399, 1), (414, 1), (763, 1), (829, 1), (830, 1), (1115, 1), (2096, 1), (2184, 1), (2245, 1), (2666, 1), (6439, 1), (6508, 1), (7246, 1), (7500, 1), (7501, 1), (7502, 1), (7503, 1)], [(8, 3), (18, 2), (19, 1), (20, 3), (22, 1), (25, 1), (31, 1), (45, 1), (50, 2), (53, 4), (58, 1), (119, 1), (161, 1), (173, 2), (215, 1), (256, 1), (273, 1), (285, 1), (428, 1), (459, 2), (504, 1), (743, 1), (869, 1), (1186, 1), (1578, 1), (1909, 1), (2139, 1), (2560, 1), (2916, 1), (3040, 1), (3947, 1), (4698, 1), (6301, 1), (7504, 1), (7505, 1), (7506, 1), (7507, 1), (7508, 1), (7509, 1), (7510, 1), (7511, 1), (7512, 1), (7513, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (20, 1), (25, 1), (45, 1), (65, 1), (71, 1), (285, 1), (744, 1), (756, 1), (1253, 1), (5220, 1), (6439, 1), (7514, 1), (7515, 1), (7516, 1), (7517, 1), (7518, 1), (7519, 1), (7520, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (37, 1), (50, 2), (53, 1), (56, 1), (77, 1), (84, 1), (90, 2), (185, 1), (193, 1), (214, 1), (269, 1), (342, 1), (356, 1), (392, 1), (419, 1), (420, 1), (434, 1), (454, 1), (711, 1), (813, 1), (1238, 1), (1305, 1), (1471, 1), (2149, 1), (2197, 1), (2245, 1), (5543, 1), (5806, 1), (5996, 1), (7289, 1), (7521, 1), (7522, 1), (7523, 1), (7524, 1), (7525, 1), (7526, 1)], [(8, 1), (20, 1), (77, 1), (90, 1), (94, 1), (214, 1), (419, 1), (7527, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (37, 1), (50, 1), (53, 2), (56, 1), (172, 1), (217, 1), (283, 1), (301, 1), (441, 1), (1973, 1), (5108, 1), (7528, 1), (7529, 1), (7530, 1), (7531, 1), (7532, 2), (7533, 1)], [(8, 1), (20, 4), (25, 1), (50, 3), (53, 5), (65, 1), (71, 1), (84, 1), (95, 1), (97, 1), (108, 1), (168, 1), (185, 1), (190, 1), (193, 1), (202, 1), (215, 1), (222, 1), (281, 1), (292, 1), (295, 1), (331, 1), (399, 1), (428, 1), (487, 1), (526, 1), (709, 1), (1172, 1), (1196, 1), (1627, 1), (2245, 1), (2985, 1), (3041, 1), (4694, 1), (5803, 1), (6213, 1), (7534, 1), (7535, 1), (7536, 1), (7537, 1), (7538, 1), (7539, 1), (7540, 1)], [(18, 1), (19, 3), (22, 1), (31, 2), (37, 1), (50, 2), (53, 2), (65, 2), (71, 1), (94, 1), (95, 1), (96, 1), (97, 1), (109, 1), (117, 1), (214, 1), (228, 1), (260, 1), (293, 1), (301, 1), (709, 1), (834, 1), (850, 1), (1070, 1), (1521, 1), (1714, 1), (1716, 1), (1995, 1), (4044, 1), (4145, 1), (4370, 1), (4718, 1), (5679, 1), (7541, 1), (7542, 1), (7543, 1), (7544, 1), (7545, 1), (7546, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (45, 1), (50, 3), (53, 6), (90, 1), (95, 1), (117, 2), (186, 1), (193, 1), (225, 1), (228, 1), (232, 2), (285, 1), (289, 1), (293, 1), (295, 1), (323, 1), (331, 1), (428, 1), (498, 1), (504, 1), (506, 1), (587, 1), (623, 1), (706, 1), (777, 1), (1010, 1), (1660, 1), (1987, 1), (2151, 1), (3905, 1), (3914, 1), (4815, 1), (5219, 1), (6213, 1), (7337, 1), (7472, 1), (7547, 1), (7548, 1), (7549, 1), (7550, 1), (7551, 1), (7552, 1), (7553, 1), (7554, 1)], [(25, 1), (50, 2), (53, 2), (55, 1), (96, 1), (214, 1), (247, 1), (286, 1), (332, 1), (645, 1), (4600, 2), (6661, 1), (7555, 1), (7556, 1), (7557, 1)], [(20, 3), (22, 1), (37, 1), (53, 2), (56, 1), (58, 1), (65, 1), (95, 1), (193, 1), (247, 1), (301, 1), (434, 2), (531, 1), (1102, 1), (1747, 1), (1824, 1), (2031, 1), (2547, 1), (5686, 1), (5910, 1), (7240, 1), (7558, 1), (7559, 1), (7560, 1), (7561, 1)], [(19, 1), (20, 5), (25, 1), (37, 1), (53, 2), (69, 1), (84, 1), (90, 1), (108, 1), (215, 1), (228, 1), (247, 1), (293, 1), (307, 1), (1122, 1), (1918, 1), (2877, 1), (4159, 2), (5878, 1), (7562, 1), (7563, 1), (7564, 1)], [(8, 1), (20, 1), (22, 2), (25, 1), (31, 2), (34, 1), (37, 1), (50, 1), (58, 1), (96, 1), (172, 1), (185, 1), (193, 1), (214, 1), (217, 1), (301, 1), (415, 1), (419, 1), (1170, 1), (1196, 1), (1471, 1), (2003, 1), (2531, 1), (6913, 1), (7306, 1)], [(31, 1), (50, 1), (53, 1), (117, 1), (172, 1), (232, 1), (450, 1), (792, 1), (1342, 1), (1441, 1), (1714, 1), (1845, 1), (2096, 1), (7565, 1), (7566, 1), (7567, 1), (7568, 1)], [(8, 1), (792, 1), (1845, 1), (7569, 1), (7570, 1)], [(19, 1), (20, 3), (25, 1), (45, 1), (50, 3), (84, 1), (85, 1), (90, 1), (109, 2), (111, 1), (193, 1), (229, 2), (355, 1), (418, 1), (448, 1), (1361, 1), (1365, 1), (1691, 1), (1714, 1), (2096, 1), (3640, 1), (4896, 1), (7180, 1), (7571, 1), (7572, 1), (7573, 1), (7574, 1), (7575, 1), (7576, 1)], [(19, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (609, 1), (792, 1), (1159, 1), (1471, 1), (1714, 1), (1845, 1), (2031, 1), (2036, 1), (4479, 1), (7577, 2), (7578, 1), (7579, 1), (7580, 1), (7581, 1), (7582, 1)], [(7, 1), (18, 1), (20, 7), (22, 4), (31, 1), (32, 1), (37, 1), (50, 6), (53, 5), (56, 1), (58, 1), (90, 1), (193, 1), (247, 1), (288, 1), (321, 1), (331, 1), (355, 1), (419, 1), (600, 1), (752, 1), (828, 1), (1342, 1), (1403, 1), (1471, 2), (1522, 1), (2656, 1), (3036, 1), (3643, 1), (3832, 1), (4130, 1), (4250, 1), (4479, 1), (5323, 1), (5844, 1), (6623, 1), (7111, 1), (7577, 4), (7583, 1), (7584, 1), (7585, 1), (7586, 1), (7587, 1), (7588, 1), (7589, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (84, 1), (197, 1), (240, 1), (428, 1), (1140, 1), (4206, 1), (7145, 1), (7577, 2), (7583, 1), (7590, 1), (7591, 1), (7592, 1)], [(20, 1), (31, 1), (37, 1), (71, 1), (82, 1), (185, 1), (328, 1), (504, 1), (1347, 1), (1714, 1), (1901, 1), (2096, 1), (3036, 1), (7593, 1)], [(8, 1), (22, 1), (53, 1), (77, 1), (82, 1), (185, 1), (301, 1), (1170, 1), (1350, 1), (1458, 1)], [(8, 1), (20, 6), (23, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 4), (56, 1), (85, 1), (90, 1), (97, 1), (108, 1), (124, 1), (225, 1), (269, 2), (281, 1), (388, 1), (463, 1), (505, 1), (584, 1), (609, 1), (678, 1), (771, 1), (833, 1), (1012, 1), (1072, 1), (1287, 1), (2034, 1), (2096, 1), (2245, 1), (2340, 1), (2344, 1), (2985, 1), (4815, 1), (5263, 1), (5467, 1), (7594, 1), (7595, 1), (7596, 1), (7597, 1), (7598, 1)], [(8, 1), (20, 4), (25, 2), (31, 2), (58, 1), (71, 1), (90, 2), (109, 1), (215, 1), (225, 1), (240, 1), (293, 2), (323, 1), (336, 1), (450, 1), (697, 1), (830, 1), (904, 2), (1037, 1), (1159, 1), (1310, 1), (2096, 1), (2265, 1), (3689, 1), (3762, 1), (4644, 1), (7599, 1), (7600, 1), (7601, 1), (7602, 1), (7603, 1), (7604, 1), (7605, 1), (7606, 1), (7607, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (37, 1), (71, 1), (122, 1), (206, 1), (266, 1), (285, 1), (487, 1), (2189, 1), (6484, 1), (7608, 1)], [(8, 1), (18, 1), (496, 1), (1728, 1), (3534, 1)], [(8, 1), (25, 1), (31, 1), (46, 1), (50, 1), (53, 4), (65, 1), (85, 1), (95, 1), (168, 1), (202, 1), (217, 1), (225, 1), (228, 1), (286, 1), (609, 1), (709, 1), (2137, 1), (2764, 1), (3763, 1), (7609, 1), (7610, 1)], [(8, 1), (20, 1), (25, 1), (40, 1), (97, 1), (111, 1), (225, 1), (268, 2), (347, 2), (518, 1), (1139, 1), (1156, 1), (1906, 1), (2228, 1), (5838, 1), (7611, 1), (7612, 1), (7613, 1)], [(8, 1), (19, 1), (20, 3), (25, 4), (31, 1), (32, 1), (50, 2), (53, 4), (65, 3), (91, 3), (95, 1), (97, 1), (498, 1), (600, 1), (697, 1), (709, 1), (763, 1), (776, 1), (869, 1), (999, 1), (1511, 1), (1517, 1), (1918, 1), (1973, 1), (2036, 1), (2712, 1), (3256, 1), (5851, 1), (6385, 1), (7145, 1), (7614, 1), (7615, 1), (7616, 1), (7617, 1), (7618, 1)], [(8, 1), (20, 4), (22, 1), (23, 1), (25, 2), (50, 3), (53, 1), (85, 1), (90, 2), (172, 1), (190, 1), (215, 2), (256, 1), (273, 1), (324, 4), (334, 1), (459, 1), (530, 1), (711, 1), (830, 1), (833, 1), (1361, 1), (1833, 1), (1906, 1), (2228, 1), (4687, 1), (5072, 1), (7619, 1), (7620, 1), (7621, 1), (7622, 1), (7623, 1), (7624, 1), (7625, 1), (7626, 1)], [(7, 1), (8, 1), (20, 5), (25, 3), (31, 2), (37, 1), (45, 1), (50, 1), (53, 2), (55, 2), (65, 1), (82, 1), (90, 1), (172, 1), (259, 1), (285, 1), (286, 1), (450, 1), (711, 1), (1087, 1), (1906, 1), (2685, 1), (4310, 1), (4600, 1), (4652, 1), (6421, 1), (6661, 1), (7627, 1), (7628, 1), (7629, 1), (7630, 1), (7631, 1), (7632, 1), (7633, 1), (7634, 1), (7635, 1), (7636, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 2), (51, 1), (53, 2), (65, 1), (77, 1), (84, 1), (90, 1), (256, 1), (353, 1), (395, 1), (459, 1), (487, 1), (505, 1), (744, 1), (834, 1), (1342, 1), (1636, 1), (2849, 1), (3342, 1), (5828, 1), (7637, 1), (7638, 1), (7639, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 1), (97, 1), (117, 1), (206, 1), (232, 1), (310, 1), (600, 1), (709, 1), (753, 1), (827, 1), (1248, 1), (2440, 1), (4637, 1), (6406, 1), (7167, 1), (7500, 1), (7611, 1), (7640, 1), (7641, 1), (7642, 1)], [(20, 1), (53, 1), (56, 1), (247, 1), (2058, 1)], [(20, 1), (53, 1), (56, 1), (247, 1), (1583, 1)], [(8, 1), (20, 3), (25, 1), (50, 1), (53, 4), (54, 1), (95, 1), (161, 1), (174, 1), (256, 2), (268, 1), (414, 2), (791, 1), (956, 1), (1155, 1), (1239, 1), (1648, 1), (2036, 1), (2206, 1), (2207, 1), (4073, 1), (4133, 1), (4385, 1), (4442, 1), (7643, 1), (7644, 1), (7645, 2), (7646, 1), (7647, 1), (7648, 1)], [(8, 1), (20, 6), (22, 1), (25, 3), (31, 1), (50, 4), (53, 7), (54, 1), (58, 1), (71, 1), (92, 1), (109, 2), (122, 1), (193, 1), (237, 1), (288, 1), (323, 1), (502, 1), (504, 1), (601, 1), (763, 1), (834, 3), (957, 1), (1471, 1), (2137, 1), (2344, 1), (2866, 1), (3192, 1), (3413, 1), (4353, 1), (5043, 1), (5345, 1), (5391, 1), (5422, 1), (6784, 1), (7643, 1), (7649, 1), (7650, 1), (7651, 1), (7652, 1), (7653, 1), (7654, 1), (7655, 1), (7656, 1), (7657, 1), (7658, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (50, 1), (53, 4), (54, 1), (56, 1), (334, 1), (414, 1), (415, 1), (632, 1), (658, 1), (3413, 1), (4130, 1), (5942, 1), (7659, 1), (7660, 1), (7661, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (37, 1), (53, 1), (65, 2), (95, 1), (174, 1), (215, 1), (256, 1), (328, 1), (355, 1), (415, 1), (709, 1), (763, 1), (834, 1), (958, 1), (1041, 1), (2174, 1), (3359, 1), (4721, 1), (5339, 1), (7662, 1), (7663, 1), (7664, 1), (7665, 1), (7666, 1)], [(8, 1), (24, 1), (32, 1), (50, 1), (53, 1), (65, 1), (77, 1), (90, 1), (94, 1), (95, 1), (678, 1), (709, 1), (3689, 1), (7667, 1)], [(7, 1), (8, 1), (20, 2), (31, 2), (50, 2), (53, 5), (65, 1), (95, 1), (109, 1), (450, 1), (459, 1), (531, 1), (709, 1), (763, 1), (2744, 1), (3146, 1), (3287, 1), (3530, 1), (3726, 1), (4652, 1), (5758, 1), (6098, 1), (7668, 1), (7669, 1), (7670, 1), (7671, 1), (7672, 1), (7673, 1), (7674, 1)], [(8, 1), (19, 2), (20, 3), (24, 1), (25, 3), (31, 1), (37, 1), (50, 1), (53, 6), (65, 1), (90, 1), (95, 1), (108, 1), (228, 1), (450, 1), (697, 1), (709, 1), (763, 1), (922, 1), (1273, 1), (1651, 1), (1685, 1), (1936, 1), (2089, 1), (2757, 1), (3251, 1), (3409, 1), (4442, 1), (5686, 1), (6858, 1), (6946, 1), (7675, 1), (7676, 1), (7677, 1), (7678, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (40, 1), (53, 3), (58, 1), (65, 2), (70, 1), (71, 1), (77, 3), (90, 1), (95, 1), (108, 1), (190, 1), (283, 1), (405, 1), (414, 1), (709, 1), (869, 1), (1322, 1), (2222, 1), (2986, 1), (3300, 1), (3454, 1), (4281, 1), (7679, 1), (7680, 1), (7681, 1), (7682, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (23, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 1), (55, 3), (58, 1), (90, 1), (99, 3), (185, 1), (197, 1), (225, 1), (242, 1), (268, 1), (301, 1), (328, 1), (457, 1), (504, 1), (507, 1), (897, 1), (1342, 1), (1702, 1), (2096, 1), (2238, 1), (2719, 1), (2855, 1), (2977, 1), (7683, 1), (7684, 1), (7685, 1), (7686, 1), (7687, 1), (7688, 1), (7689, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (95, 1), (99, 1), (190, 1), (225, 1), (268, 2), (273, 1), (2096, 1), (2240, 2), (7690, 1), (7691, 1)], [(20, 1), (101, 1), (439, 1), (540, 1), (1318, 1), (1714, 1), (7692, 1), (7693, 1), (7694, 2), (7695, 2)], [(50, 1), (53, 1), (84, 1), (210, 1), (763, 1), (1607, 1), (1714, 1), (2010, 1), (7696, 1)], [(247, 1), (256, 1), (499, 1), (678, 1), (2010, 1)], [(18, 1), (50, 1), (53, 1), (65, 1), (323, 1), (331, 1), (763, 1), (1488, 1), (1714, 1), (2096, 1), (2990, 1), (7697, 1)], [(18, 1), (20, 5), (45, 1), (50, 1), (53, 3), (55, 1), (65, 1), (95, 1), (109, 1), (229, 1), (247, 1), (256, 1), (268, 1), (310, 1), (320, 1), (323, 1), (833, 1), (834, 1), (1160, 1), (2010, 1), (2354, 1), (2436, 1), (2744, 1), (6533, 1), (7061, 1), (7698, 1), (7699, 1), (7700, 1), (7701, 1), (7702, 1)], [(31, 1), (84, 1), (323, 1), (331, 1), (1714, 1), (2395, 1), (7109, 1), (7703, 1), (7704, 1)], [(20, 1), (247, 1), (256, 1), (2010, 1), (7705, 1), (7706, 1)], [(8, 1), (20, 1), (22, 1), (31, 1), (172, 1), (178, 1), (214, 1), (256, 1), (268, 1), (450, 1), (711, 1), (897, 1), (904, 1), (1021, 1), (1294, 1), (1471, 1), (1966, 1), (2178, 1), (5199, 1), (5460, 1)], [(716, 1), (1714, 1), (7695, 1), (7707, 1), (7708, 1), (7709, 1), (7710, 1)], [(8, 1), (172, 1), (320, 1), (328, 1), (530, 1), (833, 1), (1021, 1), (1296, 1), (1901, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 4), (21, 2), (22, 1), (24, 1), (25, 3), (37, 1), (50, 5), (51, 1), (53, 5), (54, 1), (56, 1), (109, 1), (174, 1), (185, 1), (269, 2), (361, 1), (415, 1), (507, 1), (632, 1), (775, 1), (981, 1), (1239, 1), (1361, 1), (2523, 1), (2734, 1), (7711, 2), (7712, 1), (7713, 1), (7714, 1), (7715, 2), (7716, 1), (7717, 1), (7718, 1), (7719, 1), (7720, 1), (7721, 1), (7722, 1), (7723, 1)], [(8, 1), (22, 1), (37, 1), (63, 1), (77, 1), (82, 1), (90, 1), (256, 1), (897, 1), (1458, 1), (1922, 1), (1936, 1), (2096, 1), (3642, 1)], [(1318, 1), (1714, 1), (7724, 1), (7725, 1)], [(77, 1), (247, 1), (1518, 1), (7726, 1)], [(8, 1), (18, 1), (20, 1), (51, 1), (53, 1), (64, 1), (74, 1), (77, 1), (95, 1), (320, 1), (639, 1), (1235, 1), (3841, 1), (5837, 1), (7727, 1)], [(7728, 1)], [(20, 1), (90, 1), (117, 1), (232, 1), (247, 1), (1308, 1), (1583, 1), (7729, 1)], [(8, 1), (24, 1), (31, 1), (95, 1), (161, 1), (225, 1), (697, 1), (812, 1), (1130, 1), (1377, 1), (7730, 1), (7731, 1)], [(101, 1), (439, 1), (716, 1), (1714, 1), (2110, 1), (7732, 1), (7733, 1), (7734, 1), (7735, 1), (7736, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (31, 1), (37, 1), (45, 1), (50, 2), (53, 7), (56, 1), (95, 1), (109, 1), (117, 1), (232, 1), (269, 1), (281, 1), (359, 1), (407, 1), (442, 1), (443, 1), (459, 1), (678, 1), (697, 1), (791, 1), (1449, 1), (1909, 1), (2373, 1), (4703, 1), (4889, 1), (5942, 1), (7737, 1), (7738, 1), (7739, 1), (7740, 1), (7741, 1)], [(7742, 1)], [(8, 1), (108, 1), (124, 1), (185, 1), (414, 1), (706, 1), (1901, 1), (3727, 1), (4637, 1), (4706, 1), (7742, 1)], [(8, 1), (20, 3), (22, 1), (31, 1), (58, 2), (77, 1), (96, 1), (99, 2), (190, 1), (256, 1), (268, 1), (273, 1), (328, 1), (605, 1), (2096, 1), (3506, 1), (7743, 1), (7744, 1), (7745, 1)], [(716, 1), (1318, 1), (1714, 1), (7695, 1), (7746, 1)], [(8, 1), (24, 1), (50, 1), (53, 1), (84, 1), (314, 1), (452, 1), (3994, 1), (7745, 1), (7747, 1)], [(18, 1), (31, 1), (53, 1), (77, 1), (247, 1), (3342, 1), (7748, 1), (7749, 1)], [(124, 1), (247, 1), (1165, 1)], [(19, 1), (20, 1), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (88, 1), (247, 1), (310, 1), (324, 1), (708, 1), (2554, 1), (3446, 1), (3614, 1), (5234, 1), (7750, 1)], [(124, 1), (247, 1), (1165, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 1), (31, 1), (45, 1), (90, 1), (187, 1), (225, 1), (457, 1), (645, 1), (771, 1), (828, 1), (1248, 1), (3034, 1), (5167, 1)], [(8, 1), (23, 1), (50, 2), (90, 2), (124, 1), (215, 1), (228, 1), (323, 1), (334, 1), (645, 1), (833, 1), (1325, 1), (1607, 1), (1921, 1), (1931, 1), (5451, 1), (7751, 1), (7752, 1), (7753, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 10), (22, 3), (23, 3), (31, 2), (40, 1), (50, 1), (53, 1), (56, 1), (71, 2), (82, 1), (90, 2), (97, 1), (108, 1), (111, 1), (124, 1), (161, 4), (169, 1), (172, 2), (193, 1), (215, 2), (256, 1), (281, 1), (292, 2), (328, 1), (331, 1), (387, 1), (504, 4), (506, 2), (601, 2), (645, 1), (833, 1), (983, 1), (1012, 1), (1580, 3), (1656, 1), (1685, 1), (1824, 1), (1964, 1), (2005, 1), (2594, 1), (2985, 1), (3121, 1), (3181, 1), (3323, 1), (3506, 1), (7174, 1), (7754, 1), (7755, 1), (7756, 1), (7757, 1), (7758, 1), (7759, 1), (7760, 1), (7761, 1), (7762, 1), (7763, 1), (7764, 1), (7765, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (25, 2), (31, 1), (37, 1), (53, 2), (54, 1), (65, 1), (95, 1), (108, 1), (226, 1), (709, 1), (897, 1), (1580, 3), (1918, 1), (1973, 1), (2096, 1), (4783, 1), (7766, 1), (7767, 1), (7768, 1), (7769, 1), (7770, 1)], [(1544, 1), (7771, 1)], [(8, 1), (7772, 1)], [(8, 1), (20, 1), (23, 1), (50, 2), (53, 1), (256, 1), (285, 1), (359, 1), (2096, 1), (2883, 1), (3771, 1), (7506, 1), (7536, 1), (7745, 1), (7773, 1), (7774, 1)], [(18, 1), (20, 3), (21, 1), (45, 2), (71, 1), (82, 2), (97, 1), (173, 1), (281, 1), (285, 1), (301, 1), (323, 1), (337, 1), (531, 2), (601, 1), (743, 1), (744, 1), (1714, 1), (2145, 1), (3237, 1), (5236, 1), (7536, 1), (7775, 2), (7776, 1), (7777, 1), (7778, 1), (7779, 1), (7780, 1), (7781, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (46, 1), (50, 2), (53, 1), (77, 2), (90, 1), (91, 1), (92, 1), (108, 1), (122, 1), (170, 1), (193, 1), (240, 1), (260, 1), (450, 1), (526, 1), (620, 1), (3149, 1), (3495, 1), (5529, 1), (6170, 1), (7782, 1), (7783, 1), (7784, 1), (7785, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (50, 2), (71, 1), (72, 1), (77, 1), (293, 1), (328, 1), (351, 1), (830, 1), (4840, 2), (6764, 1), (7786, 1)], [(20, 1), (21, 1), (53, 1), (323, 1), (711, 1), (1347, 1), (1598, 1), (1714, 1), (1779, 1), (1914, 1), (5788, 1)], [(8, 1), (18, 2), (20, 3), (23, 1), (45, 1), (50, 1), (77, 1), (90, 1), (117, 1), (193, 1), (201, 1), (215, 1), (232, 1), (242, 1), (260, 1), (447, 1), (706, 2), (5529, 1), (6592, 1), (7787, 1), (7788, 1), (7789, 1)], [(18, 1), (20, 3), (50, 1), (55, 1), (58, 2), (71, 1), (90, 1), (215, 1), (239, 1), (240, 1), (316, 1), (711, 2), (742, 1), (1041, 1), (1102, 1), (1714, 1), (2389, 1), (2540, 1), (7790, 2), (7791, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (31, 1), (45, 1), (50, 2), (53, 1), (71, 1), (90, 1), (185, 1), (226, 1), (256, 1), (323, 1), (419, 1), (505, 1), (601, 1), (1180, 1), (1877, 1), (2221, 1), (2440, 1), (2691, 1), (3330, 1), (5912, 1), (6100, 1), (6774, 1), (7745, 1), (7783, 1), (7792, 1), (7793, 1), (7794, 1), (7795, 1), (7796, 1), (7797, 1), (7798, 1)], [(8, 1), (18, 2), (20, 3), (30, 1), (31, 1), (65, 1), (90, 1), (225, 1), (323, 1), (359, 1), (537, 1), (645, 2), (1417, 1), (1822, 1), (2378, 1), (2455, 1), (2691, 1), (3083, 1), (3289, 1), (3409, 1), (7799, 1), (7800, 1), (7801, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (31, 1), (45, 1), (117, 1), (173, 1), (209, 1), (289, 1), (581, 1), (759, 1), (1909, 1), (2001, 1), (7802, 1), (7803, 1)], [(19, 1), (20, 1), (21, 1), (50, 1), (53, 1), (71, 1), (77, 2), (96, 1), (185, 1), (193, 1), (226, 1), (301, 1), (387, 1), (537, 1), (795, 1), (1308, 1), (1714, 1), (2839, 1), (3294, 1), (7804, 1)], [(8, 1), (20, 5), (58, 1), (65, 1), (71, 1), (117, 1), (232, 1), (512, 1), (537, 6), (1072, 1), (1911, 5), (1988, 1), (5835, 1), (6764, 1), (7805, 1), (7806, 1), (7807, 1), (7808, 1)], [(20, 3), (31, 1), (37, 1), (50, 1), (53, 1), (58, 1), (71, 1), (256, 1), (537, 1), (581, 1), (596, 1), (897, 1), (1041, 1), (1714, 1), (1733, 1), (4840, 1), (6213, 1), (7809, 1), (7810, 1), (7811, 1), (7812, 1)], [(20, 1), (50, 1), (90, 1), (247, 1), (295, 1), (6691, 1), (7813, 1), (7814, 1)], [(25, 1), (55, 1), (247, 1), (324, 1), (419, 1), (1471, 1), (3924, 1), (5529, 1), (6170, 1), (7784, 1), (7815, 1)], [(1544, 1), (7816, 1)], [(8, 1), (25, 1), (7817, 1), (7818, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (24, 1), (25, 1), (50, 2), (53, 1), (54, 1), (1361, 1), (1572, 1), (1792, 1), (5429, 1), (6129, 1), (6269, 1), (7286, 1), (7819, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (36, 1), (45, 1), (54, 1), (65, 1), (174, 1), (215, 1), (240, 1), (414, 1), (531, 1), (645, 1), (791, 1), (827, 1), (903, 1), (1102, 1), (2320, 1), (2605, 1), (3425, 1), (3530, 1), (4058, 1), (5339, 1), (5356, 1), (7820, 1), (7821, 1), (7822, 1), (7823, 1), (7824, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (53, 1), (82, 1), (285, 1), (516, 1), (1021, 1), (2984, 1), (3476, 1), (4340, 1), (7825, 1), (7826, 1), (7827, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (36, 1), (45, 1), (50, 2), (77, 1), (97, 1), (108, 1), (111, 1), (172, 1), (203, 1), (217, 1), (269, 1), (281, 1), (412, 1), (448, 1), (834, 1), (1342, 1), (1909, 1), (2240, 1), (4840, 1), (4941, 1), (5339, 1), (7828, 1), (7829, 1)], [(8, 1), (22, 1), (37, 1), (45, 1), (173, 1), (182, 1), (186, 1), (347, 2), (448, 1), (607, 1), (834, 1), (2020, 1), (7036, 1), (7830, 1), (7831, 1), (7832, 2), (7833, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (45, 1), (50, 2), (53, 2), (58, 1), (124, 1), (161, 1), (185, 1), (268, 1), (293, 1), (301, 1), (833, 1), (886, 1), (903, 2), (5384, 1), (7834, 1), (7835, 1), (7836, 1), (7837, 1), (7838, 1), (7839, 1), (7840, 1)], [(8, 1), (50, 1), (53, 2), (54, 1), (122, 1), (645, 1), (5385, 1), (7841, 1)], [(7, 1), (8, 1), (22, 1), (36, 1), (53, 1), (54, 1), (65, 1), (268, 1), (1695, 1), (1929, 1), (2035, 1), (3525, 1), (4465, 1)], [(8, 1), (18, 2), (19, 4), (20, 7), (22, 2), (25, 4), (31, 2), (32, 1), (37, 1), (45, 1), (54, 2), (55, 1), (58, 2), (71, 1), (108, 2), (111, 1), (174, 1), (185, 1), (186, 1), (215, 1), (240, 1), (348, 1), (516, 2), (531, 1), (702, 1), (903, 1), (1119, 1), (1685, 1), (2029, 1), (2067, 1), (2198, 1), (2389, 1), (3000, 1), (3049, 1), (3426, 1), (3504, 1), (3734, 1), (3739, 1), (3740, 1), (3954, 1), (4896, 1), (5211, 1), (5712, 1), (6853, 1), (7286, 1), (7599, 1), (7822, 2), (7842, 1), (7843, 1), (7844, 1), (7845, 1), (7846, 1), (7847, 1), (7848, 1), (7849, 1)], [(8, 1), (19, 1), (20, 1), (34, 1), (45, 1), (50, 1), (53, 1), (65, 1), (92, 1), (99, 1), (173, 1), (261, 1), (328, 1), (347, 1), (428, 1), (505, 1), (834, 1), (863, 1), (903, 1), (1403, 1), (1824, 1), (2162, 1), (3177, 1), (7850, 1), (7851, 1), (7852, 1), (7853, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (50, 2), (53, 1), (54, 1), (82, 1), (108, 1), (126, 1), (246, 1), (407, 1), (505, 1), (645, 1), (1596, 1), (2165, 1), (2826, 1), (4627, 1), (7854, 1), (7855, 1), (7856, 1), (7857, 1), (7858, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (30, 1), (31, 2), (37, 2), (45, 1), (53, 1), (97, 1), (108, 1), (193, 1), (240, 1), (328, 1), (448, 1), (459, 1), (526, 1), (903, 1), (1732, 1), (1742, 1), (2656, 1), (2744, 1), (2757, 1), (4428, 1), (7384, 1), (7859, 1), (7860, 1), (7861, 1), (7862, 1)], [(8, 1), (18, 2), (19, 3), (20, 5), (22, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 2), (53, 1), (55, 1), (63, 1), (76, 1), (90, 1), (97, 1), (108, 1), (109, 2), (256, 1), (338, 1), (448, 1), (505, 1), (675, 1), (792, 1), (813, 1), (833, 1), (1600, 1), (1964, 1), (2168, 1), (2680, 1), (3324, 1), (3721, 1), (4299, 1), (6097, 1), (6416, 1), (7863, 1), (7864, 1), (7865, 1), (7866, 1), (7867, 1), (7868, 1), (7869, 1), (7870, 2)], [(8, 1), (25, 1), (45, 1), (459, 1), (544, 1), (7871, 1), (7872, 1), (7873, 1)], [(7, 1), (8, 1), (19, 2), (20, 6), (25, 2), (30, 2), (31, 2), (45, 4), (50, 5), (53, 5), (65, 3), (83, 1), (97, 1), (109, 1), (124, 3), (167, 1), (193, 1), (206, 1), (289, 1), (293, 1), (331, 1), (430, 1), (448, 1), (487, 1), (504, 1), (600, 1), (723, 1), (792, 1), (834, 1), (1324, 1), (1348, 1), (1628, 1), (1702, 2), (2087, 1), (2206, 1), (2235, 1), (2248, 1), (2734, 1), (2744, 1), (2772, 1), (3418, 1), (3649, 1), (3677, 1), (3742, 1), (3756, 1), (3803, 1), (4073, 1), (5198, 1), (5416, 1), (5655, 1), (6489, 1), (6990, 1), (7450, 1), (7874, 1), (7875, 1), (7876, 1), (7877, 1), (7878, 1), (7879, 1), (7880, 1), (7881, 1)], [(18, 1), (20, 1), (23, 1), (31, 1), (50, 1), (64, 2), (66, 1), (77, 1), (82, 1), (95, 1), (172, 1), (190, 1), (233, 1), (268, 1), (323, 1), (373, 1), (645, 1), (910, 1), (1163, 1), (1580, 1), (7286, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (50, 1), (53, 3), (54, 1), (77, 1), (82, 1), (90, 3), (97, 1), (109, 1), (124, 1), (173, 1), (185, 1), (256, 1), (407, 1), (531, 1), (639, 1), (645, 1), (833, 1), (903, 1), (1269, 1), (1298, 1), (1308, 1), (1348, 1), (1898, 1), (3015, 1), (3053, 1), (3459, 1), (4016, 1), (5857, 1), (7442, 1), (7472, 1), (7882, 1), (7883, 1), (7884, 1), (7885, 1)], [(18, 1), (20, 5), (31, 1), (53, 1), (64, 2), (66, 1), (77, 1), (99, 1), (117, 1), (169, 1), (185, 1), (215, 2), (233, 1), (328, 1), (645, 1), (1163, 1), (1572, 1), (2077, 1), (2577, 1), (2854, 1), (3982, 1), (4073, 1), (4390, 1), (4939, 1), (7286, 1), (7295, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (34, 1), (64, 2), (69, 1), (90, 1), (95, 1), (96, 1), (98, 1), (111, 1), (161, 1), (174, 1), (292, 1), (301, 1), (415, 1), (419, 1), (420, 1), (516, 1), (645, 1), (1598, 1), (2270, 1), (2577, 1), (2839, 1), (4465, 1), (7061, 1), (7295, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 2), (25, 1), (30, 2), (31, 1), (37, 1), (54, 2), (75, 1), (82, 1), (193, 1), (256, 1), (268, 1), (281, 1), (337, 1), (387, 1), (2029, 1), (2162, 1), (6464, 1), (6904, 1), (7286, 1), (7478, 1), (7883, 1), (7885, 1), (7886, 1), (7887, 1), (7888, 1)], [(8, 1), (19, 1), (20, 6), (25, 2), (31, 1), (50, 3), (53, 2), (54, 1), (71, 1), (82, 1), (90, 1), (173, 1), (185, 1), (236, 1), (269, 1), (334, 1), (516, 1), (709, 1), (1127, 1), (1159, 2), (1499, 1), (1903, 1), (2096, 1), (2245, 1), (4849, 1), (6546, 1), (7025, 1), (7883, 1), (7889, 1), (7890, 1)], [(8, 1), (18, 1), (22, 1), (30, 1), (31, 2), (65, 1), (74, 1), (90, 1), (108, 3), (173, 1), (187, 1), (268, 1), (278, 1), (289, 1), (310, 1), (337, 1), (347, 1), (1911, 1), (2751, 1), (3426, 1), (6391, 2), (7891, 1), (7892, 1), (7893, 1), (7894, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (22, 1), (23, 1), (25, 2), (31, 1), (50, 1), (71, 1), (82, 1), (90, 1), (91, 1), (108, 2), (185, 1), (187, 1), (217, 1), (226, 1), (236, 1), (240, 1), (242, 1), (286, 1), (293, 1), (347, 1), (461, 2), (583, 1), (600, 1), (672, 1), (810, 1), (1580, 1), (1644, 1), (4205, 1), (7286, 2), (7895, 1), (7896, 1)], [(45, 1), (54, 1), (117, 1), (229, 1), (232, 1), (596, 1), (1714, 1), (4598, 1), (5452, 1)], [(20, 2), (31, 1), (45, 1), (50, 1), (53, 2), (166, 1), (169, 1), (173, 1), (374, 1), (1323, 1), (1714, 1), (1871, 1), (7897, 1), (7898, 1), (7899, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 1), (25, 1), (30, 1), (31, 1), (50, 1), (53, 1), (97, 1), (166, 1), (172, 1), (185, 1), (203, 1), (206, 1), (215, 1), (217, 2), (225, 1), (233, 1), (516, 1), (526, 1), (1068, 1), (1636, 1), (1664, 1), (1702, 1), (2474, 1), (2785, 1), (5936, 1), (5942, 1), (7286, 1), (7450, 1), (7883, 1), (7900, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 3), (30, 1), (31, 4), (37, 1), (45, 1), (54, 2), (55, 1), (58, 2), (82, 2), (85, 1), (90, 2), (97, 1), (109, 1), (173, 1), (186, 1), (206, 1), (215, 1), (285, 1), (293, 1), (301, 1), (347, 1), (487, 1), (531, 1), (645, 1), (723, 2), (743, 1), (744, 1), (861, 1), (1041, 1), (1077, 1), (1487, 1), (2120, 1), (3189, 1), (3402, 1), (4159, 1), (7883, 1), (7901, 1), (7902, 1), (7903, 1), (7904, 1), (7905, 1), (7906, 1), (7907, 1), (7908, 1)], [(8, 1), (20, 10), (25, 1), (31, 2), (50, 4), (53, 4), (54, 1), (55, 1), (56, 1), (58, 1), (71, 1), (90, 1), (97, 2), (99, 1), (109, 1), (111, 3), (124, 2), (161, 1), (173, 1), (187, 1), (215, 1), (222, 1), (275, 1), (331, 1), (448, 1), (518, 1), (531, 1), (600, 1), (601, 1), (645, 1), (678, 1), (813, 1), (834, 1), (966, 1), (1072, 1), (1529, 1), (1813, 1), (1824, 1), (1877, 1), (2681, 1), (4146, 1), (4404, 1), (4600, 1), (5053, 1), (5159, 1), (6350, 1), (7477, 1), (7909, 1), (7910, 1), (7911, 1), (7912, 1), (7913, 1), (7914, 1), (7915, 1), (7916, 1), (7917, 1), (7918, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (22, 1), (23, 1), (29, 1), (31, 2), (50, 2), (53, 5), (58, 2), (77, 1), (108, 1), (117, 1), (161, 1), (172, 1), (178, 1), (232, 1), (301, 1), (309, 1), (387, 1), (407, 1), (459, 1), (601, 1), (888, 1), (1628, 1), (2007, 1), (2279, 1), (2990, 1), (3919, 1), (4556, 1), (4977, 1), (7286, 1), (7859, 1), (7919, 1), (7920, 1), (7921, 1), (7922, 1), (7923, 1), (7924, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 3), (25, 5), (30, 1), (31, 2), (37, 1), (45, 1), (49, 1), (53, 1), (65, 1), (71, 1), (77, 1), (90, 1), (161, 1), (172, 1), (215, 1), (256, 1), (293, 2), (328, 1), (450, 1), (507, 1), (600, 1), (645, 1), (742, 1), (743, 1), (744, 1), (777, 1), (830, 3), (1130, 1), (1470, 1), (1558, 1), (1898, 1), (2249, 1), (2402, 1), (3804, 1), (3891, 1), (4078, 1), (4480, 1), (4759, 1), (5151, 1), (6679, 1), (7704, 1), (7925, 1), (7926, 1), (7927, 1), (7928, 1), (7929, 1), (7930, 1), (7931, 1), (7932, 1), (7933, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (37, 1), (50, 1), (53, 2), (55, 1), (58, 1), (65, 1), (90, 1), (170, 1), (193, 1), (262, 1), (293, 1), (388, 2), (419, 1), (434, 1), (645, 1), (658, 1), (1102, 1), (1348, 1), (1470, 1), (1887, 1), (3731, 1), (3808, 1), (4891, 1), (4893, 1), (6662, 1), (7375, 1), (7934, 1), (7935, 1), (7936, 1), (7937, 1), (7938, 1), (7939, 1), (7940, 1)], [(8, 1), (18, 1), (20, 2), (53, 1), (193, 1), (305, 1), (581, 1), (744, 1), (1159, 1), (1392, 1), (1668, 1), (3043, 1), (3419, 1), (6909, 1), (7941, 1), (7942, 1), (7943, 1), (7944, 1), (7945, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (50, 2), (53, 1), (77, 1), (82, 1), (90, 1), (97, 1), (185, 1), (225, 1), (256, 1), (268, 1), (301, 1), (5151, 1), (6170, 1), (7558, 1), (7745, 3), (7946, 1), (7947, 1), (7948, 1), (7949, 1)], [(18, 2), (20, 2), (22, 2), (31, 1), (34, 1), (37, 1), (53, 1), (58, 1), (90, 2), (97, 1), (109, 1), (111, 1), (247, 1), (252, 1), (332, 1), (414, 1), (654, 1), (1069, 1), (1354, 1), (2862, 1), (3708, 1), (6497, 1), (7022, 1), (7453, 1), (7745, 1), (7950, 1), (7951, 1), (7952, 1), (7953, 1), (7954, 1)], [(24, 1), (247, 1), (332, 1), (334, 1), (7196, 1)], [(24, 1), (25, 1), (37, 1), (50, 1), (247, 1), (2611, 1), (7653, 1), (7955, 1)], [(20, 1), (84, 1), (247, 1), (3000, 1), (7956, 1), (7957, 1), (7958, 1)], [(18, 1), (19, 2), (20, 10), (22, 5), (23, 3), (25, 2), (31, 1), (37, 3), (45, 1), (50, 3), (53, 3), (55, 1), (58, 1), (85, 1), (90, 1), (91, 2), (97, 1), (117, 1), (193, 1), (232, 1), (247, 1), (260, 1), (269, 1), (292, 4), (305, 1), (320, 1), (352, 1), (357, 1), (399, 1), (407, 2), (448, 1), (504, 3), (506, 1), (753, 1), (777, 2), (795, 1), (869, 1), (897, 2), (1012, 1), (1069, 1), (1102, 1), (1122, 1), (1377, 1), (1580, 1), (1686, 1), (1988, 1), (2276, 1), (2365, 1), (2744, 1), (2934, 1), (3070, 1), (3426, 1), (3641, 1), (4599, 1), (4944, 1), (5986, 2), (7757, 1), (7769, 1), (7861, 1), (7959, 1), (7960, 1), (7961, 1), (7962, 1), (7963, 1), (7964, 1), (7965, 1), (7966, 1), (7967, 1), (7968, 1), (7969, 1), (7970, 1), (7971, 1), (7972, 1), (7973, 1), (7974, 1), (7975, 1), (7976, 1), (7977, 1)], [(20, 1), (31, 1), (58, 1), (85, 1), (247, 1), (332, 1), (334, 1), (357, 1), (506, 1), (7486, 1), (7951, 1)], [(18, 2), (19, 1), (20, 4), (22, 4), (25, 1), (30, 2), (33, 1), (50, 2), (51, 1), (53, 4), (55, 1), (65, 1), (82, 1), (109, 1), (186, 1), (247, 1), (252, 2), (281, 1), (323, 5), (446, 1), (833, 1), (1069, 1), (1758, 1), (3054, 1), (3110, 1), (4165, 1), (4183, 1), (5534, 1), (5719, 1), (5851, 1), (6298, 5), (7022, 1), (7978, 1), (7979, 1), (7980, 1), (7981, 1), (7982, 1), (7983, 1), (7984, 1), (7985, 1), (7986, 1), (7987, 1), (7988, 1), (7989, 1), (7990, 1), (7991, 1), (7992, 1)], [(20, 4), (22, 1), (31, 2), (37, 1), (40, 1), (53, 1), (58, 1), (85, 1), (109, 1), (247, 1), (252, 1), (323, 1), (332, 1), (506, 1), (678, 1), (1988, 1), (2051, 1), (4942, 1), (4985, 2), (7993, 1), (7994, 1), (7995, 1), (7996, 1), (7997, 1), (7998, 1)], [(1544, 1), (7999, 1)], [(8, 1), (25, 1), (7817, 1), (7818, 1)], [(8, 1), (53, 1), (54, 1), (1572, 1), (2077, 1), (7295, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (25, 1), (36, 1), (50, 1), (54, 2), (65, 2), (72, 1), (645, 1), (2206, 2), (4674, 1), (5429, 1), (5980, 2), (6436, 1), (8000, 1), (8001, 1)], [(8, 1), (18, 1), (20, 2), (22, 3), (25, 2), (31, 1), (50, 1), (53, 3), (55, 1), (65, 2), (108, 1), (126, 1), (215, 2), (287, 1), (407, 1), (426, 1), (531, 1), (580, 1), (711, 1), (1010, 1), (1140, 1), (1238, 2), (1324, 1), (1529, 1), (1911, 1), (1931, 1), (2162, 1), (2253, 1), (3849, 1), (4012, 1), (6548, 1), (6798, 1), (7484, 1), (8002, 1), (8003, 1), (8004, 1), (8005, 1), (8006, 1), (8007, 1), (8008, 1)], [(8, 1), (18, 1), (20, 4), (25, 2), (37, 1), (45, 2), (53, 1), (65, 2), (95, 1), (173, 1), (215, 1), (256, 1), (373, 1), (407, 1), (459, 1), (504, 1), (777, 1), (1506, 1), (2126, 1), (2372, 1), (3455, 1), (3642, 1), (4326, 1), (5335, 1), (5620, 1), (7395, 1), (8009, 1), (8010, 1)], [(8, 1), (20, 1), (36, 1), (45, 2), (50, 3), (51, 1), (53, 3), (54, 1), (65, 1), (77, 1), (215, 2), (373, 1), (410, 2), (531, 1), (1188, 1), (1596, 1), (1597, 1), (2371, 1), (3299, 1), (5398, 1), (8011, 1), (8012, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (45, 2), (50, 1), (53, 3), (65, 2), (95, 1), (173, 1), (215, 1), (452, 1), (688, 1), (708, 1), (983, 1), (1379, 1), (3013, 1), (3400, 1), (4015, 1), (4844, 1), (5733, 1), (6495, 1), (8013, 1), (8014, 1), (8015, 1), (8016, 1)], [(8, 1), (25, 1), (36, 1), (45, 1), (51, 1), (53, 1), (55, 1), (285, 1), (381, 1), (407, 1), (777, 1), (1529, 1), (2674, 1), (8017, 2), (8018, 1), (8019, 1), (8020, 1)], [(8, 1), (20, 2), (50, 1), (53, 1), (108, 1), (185, 1), (347, 1), (428, 1), (531, 1), (693, 1), (983, 1), (2126, 1), (3108, 1), (6161, 1), (6919, 1), (7295, 1), (8001, 1)], [(8, 1), (20, 1), (50, 1), (77, 1), (173, 1), (236, 1), (268, 1), (328, 1), (596, 1), (983, 1), (1392, 1), (2826, 1)], [(8, 1), (18, 4), (19, 3), (20, 8), (22, 1), (25, 2), (37, 1), (40, 2), (45, 1), (50, 3), (53, 2), (58, 2), (71, 2), (82, 1), (85, 1), (90, 1), (97, 1), (169, 1), (173, 5), (193, 1), (236, 1), (256, 1), (268, 1), (285, 1), (306, 1), (328, 1), (337, 1), (410, 1), (420, 1), (504, 1), (516, 1), (597, 1), (601, 1), (687, 1), (697, 1), (792, 1), (813, 1), (902, 1), (904, 1), (1594, 1), (1901, 1), (1960, 1), (2178, 1), (2343, 1), (2354, 1), (3065, 1), (3299, 1), (3371, 1), (3455, 1), (3633, 1), (4145, 1), (4473, 1), (4793, 1), (8021, 1), (8022, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 2), (31, 1), (37, 1), (45, 2), (50, 3), (53, 2), (55, 3), (56, 1), (65, 2), (69, 1), (90, 2), (96, 1), (172, 1), (203, 1), (217, 1), (263, 1), (293, 1), (353, 1), (387, 1), (410, 1), (415, 1), (450, 1), (487, 1), (505, 1), (531, 1), (596, 1), (645, 1), (708, 1), (744, 1), (842, 1), (1044, 1), (1499, 1), (1764, 1), (2126, 1), (2159, 1), (2178, 1), (4328, 1), (4605, 1), (4920, 1), (5054, 1), (7295, 1), (8023, 1), (8024, 1), (8025, 1), (8026, 1), (8027, 1), (8028, 1), (8029, 1)], [(8, 1), (20, 3), (45, 3), (50, 2), (53, 1), (54, 1), (269, 1), (286, 1), (516, 1), (884, 1), (1044, 1), (1483, 1), (1485, 1), (2401, 1), (2977, 1), (5176, 1), (6183, 1)], [(8, 1), (19, 1), (30, 1), (45, 3), (50, 1), (69, 1), (85, 1), (172, 1), (215, 2), (285, 1), (654, 2), (990, 1), (1044, 1), (1627, 1), (2705, 1), (5176, 1), (7194, 1), (8030, 1)], [(8, 1), (18, 2), (19, 2), (20, 5), (22, 2), (25, 1), (31, 4), (36, 1), (37, 1), (45, 1), (50, 3), (53, 3), (71, 1), (75, 1), (85, 1), (91, 2), (109, 1), (173, 2), (269, 1), (328, 1), (388, 1), (415, 1), (724, 1), (897, 1), (1458, 1), (1632, 1), (2126, 1), (2406, 1), (2466, 1), (2855, 1), (2862, 1), (2985, 1), (3351, 1), (4627, 1), (5100, 1), (6076, 1), (8031, 1), (8032, 1), (8033, 1), (8034, 1), (8035, 1), (8036, 1), (8037, 1), (8038, 1)], [(8, 1), (20, 3), (45, 4), (50, 1), (173, 1), (286, 1), (382, 1), (420, 1), (428, 2), (763, 1), (1044, 1), (1766, 1), (1981, 1), (2140, 1), (3714, 1), (3837, 1), (4199, 1), (7295, 1)], [(8, 1), (18, 2), (19, 1), (20, 8), (22, 3), (23, 1), (25, 1), (31, 1), (37, 1), (44, 1), (45, 1), (50, 4), (53, 3), (55, 2), (58, 1), (77, 1), (90, 1), (108, 1), (111, 1), (117, 1), (172, 3), (185, 2), (193, 1), (197, 1), (202, 1), (203, 1), (215, 2), (217, 1), (232, 1), (269, 2), (273, 1), (287, 1), (293, 1), (305, 1), (323, 1), (410, 1), (448, 1), (450, 1), (490, 1), (601, 1), (813, 1), (892, 1), (1010, 1), (1115, 1), (1300, 1), (1342, 1), (1393, 1), (1686, 1), (1779, 1), (1801, 1), (1925, 1), (2051, 1), (2161, 1), (3237, 1), (3588, 1), (3634, 1), (4349, 1), (4585, 1), (4956, 1), (4989, 1), (5259, 1), (6893, 1), (7295, 1), (7597, 1), (8039, 1), (8040, 1), (8041, 1), (8042, 1), (8043, 1), (8044, 1), (8045, 1), (8046, 1), (8047, 1)], [(8, 1), (18, 1), (20, 2), (24, 1), (31, 1), (50, 1), (54, 1), (117, 1), (232, 1), (1572, 1), (3696, 1), (5429, 1), (6306, 1), (7411, 1), (8048, 1), (8049, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (25, 2), (30, 2), (50, 2), (53, 1), (54, 1), (55, 1), (58, 1), (63, 1), (90, 1), (91, 1), (126, 1), (187, 1), (323, 1), (334, 1), (342, 1), (347, 1), (452, 1), (813, 1), (903, 1), (1180, 1), (1287, 1), (1485, 1), (1632, 1), (1973, 1), (2235, 1), (3330, 1), (4299, 1), (6268, 1), (7442, 1), (8050, 1), (8051, 1), (8052, 1), (8053, 1), (8054, 1), (8055, 1), (8056, 1)], [(8, 1), (18, 2), (19, 3), (20, 3), (22, 2), (25, 5), (31, 2), (37, 1), (45, 1), (50, 5), (53, 2), (54, 2), (65, 1), (90, 1), (91, 1), (95, 1), (108, 1), (109, 1), (111, 1), (161, 1), (173, 1), (178, 1), (193, 1), (202, 1), (228, 1), (241, 1), (256, 1), (293, 1), (448, 1), (450, 1), (482, 1), (516, 1), (525, 1), (531, 1), (579, 1), (586, 1), (680, 1), (810, 1), (884, 1), (893, 1), (902, 1), (1269, 1), (1308, 1), (1311, 1), (1342, 1), (1450, 1), (1466, 1), (1975, 1), (2005, 1), (2160, 1), (3121, 1), (3831, 1), (4698, 1), (4764, 1), (5816, 1), (6753, 1), (7869, 1), (8057, 1), (8058, 1), (8059, 1), (8060, 1), (8061, 1), (8062, 1), (8063, 1), (8064, 1)], [(8, 1), (18, 3), (20, 1), (22, 2), (25, 1), (30, 1), (31, 1), (45, 1), (50, 4), (53, 2), (54, 1), (58, 1), (74, 1), (90, 2), (106, 1), (108, 1), (117, 1), (173, 1), (187, 1), (206, 1), (353, 1), (406, 1), (609, 1), (884, 1), (1122, 1), (1196, 1), (1248, 1), (1308, 1), (1342, 1), (1488, 1), (2132, 1), (2206, 1), (2207, 1), (2351, 1), (3922, 1), (5555, 1), (5861, 1), (8065, 1), (8066, 1), (8067, 1), (8068, 1)], [(8, 1), (18, 1), (22, 1), (25, 1), (71, 1), (117, 1), (209, 1), (214, 1), (232, 1), (293, 1), (428, 1), (703, 1), (830, 1), (3082, 1), (4360, 1), (8069, 2), (8070, 3), (8071, 1), (8072, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (50, 1), (53, 1), (54, 1), (174, 1), (269, 1), (353, 1), (2344, 1), (3149, 1), (4628, 1), (7411, 1), (7846, 1), (8072, 1), (8073, 1)], [(7, 2), (8, 1), (19, 2), (20, 4), (22, 2), (25, 1), (30, 1), (31, 2), (46, 1), (50, 3), (53, 5), (58, 1), (65, 1), (71, 1), (72, 1), (81, 1), (90, 1), (97, 1), (166, 1), (173, 1), (228, 1), (240, 1), (305, 1), (414, 1), (428, 1), (518, 1), (530, 1), (632, 1), (709, 1), (834, 1), (1014, 1), (1080, 1), (1363, 1), (1485, 1), (1582, 1), (1877, 1), (4465, 1), (4526, 1), (4938, 1), (6129, 1), (6155, 1), (6375, 1), (7823, 1), (8074, 1), (8075, 1), (8076, 1), (8077, 1), (8078, 1), (8079, 1), (8080, 1), (8081, 1)], [(8, 1), (20, 3), (21, 1), (25, 1), (206, 1), (346, 1), (459, 1), (600, 1), (1248, 1), (3934, 1), (7286, 1), (7295, 1), (7411, 1), (7603, 1)], [(7, 1), (8, 1), (50, 1), (53, 1), (54, 1), (58, 1), (117, 1), (215, 1), (232, 1), (323, 1), (530, 1), (913, 1), (1248, 1), (2027, 1), (3867, 1), (6129, 1), (8082, 1), (8083, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (45, 1), (50, 2), (53, 1), (90, 1), (97, 1), (187, 1), (206, 1), (215, 1), (285, 1), (359, 1), (414, 1), (459, 1), (902, 1), (1070, 1), (1130, 1), (1248, 1), (1417, 1), (1904, 1), (2015, 1), (3906, 1), (6315, 1), (7926, 1), (8082, 1), (8084, 1), (8085, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (50, 2), (53, 1), (55, 1), (174, 1), (215, 2), (260, 1), (450, 1), (459, 2), (711, 1), (775, 1), (827, 1), (860, 1), (1992, 1), (2096, 1), (2392, 1), (2687, 1), (8086, 1), (8087, 1), (8088, 1), (8089, 1), (8090, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 10), (22, 2), (25, 3), (30, 1), (31, 4), (45, 1), (50, 2), (51, 1), (53, 4), (55, 1), (58, 1), (65, 1), (77, 2), (90, 1), (91, 1), (96, 1), (111, 3), (117, 1), (185, 2), (215, 1), (217, 1), (222, 1), (225, 1), (232, 1), (256, 1), (269, 1), (310, 1), (323, 2), (328, 1), (331, 1), (373, 1), (418, 1), (419, 1), (420, 1), (422, 1), (459, 1), (516, 1), (526, 1), (605, 1), (688, 1), (753, 1), (775, 1), (1129, 2), (1144, 1), (1262, 1), (1362, 1), (1374, 1), (1379, 1), (1476, 1), (1572, 1), (1578, 1), (2029, 1), (2036, 1), (2184, 1), (2240, 1), (2723, 1), (3450, 1), (3541, 1), (3554, 1), (4073, 1), (4299, 1), (5936, 1), (6129, 1), (8091, 1), (8092, 1), (8093, 1), (8094, 2), (8095, 1), (8096, 1), (8097, 1), (8098, 1)], [(8, 1), (20, 3), (37, 1), (45, 1), (50, 1), (53, 1), (54, 1), (108, 1), (283, 1), (347, 1), (1572, 1), (1792, 1), (3528, 1), (3614, 1), (7286, 1), (8099, 1), (8100, 1)], [(8, 1), (46, 1), (77, 1), (301, 1), (2222, 1), (3614, 1)], [(8, 1), (18, 1), (20, 4), (50, 5), (53, 3), (54, 1), (55, 1), (97, 1), (109, 1), (117, 1), (174, 1), (225, 1), (228, 1), (232, 1), (328, 1), (394, 1), (407, 2), (531, 1), (600, 1), (674, 1), (775, 1), (1139, 1), (1159, 1), (1361, 1), (1365, 1), (1702, 1), (1777, 1), (2332, 1), (2344, 1), (3742, 1), (5388, 1), (5562, 1), (6306, 1), (8048, 1), (8101, 1), (8102, 1), (8103, 1), (8104, 1), (8105, 1), (8106, 1), (8107, 1), (8108, 1)], [(7, 1), (8, 1), (20, 1), (50, 1), (53, 2), (65, 1), (81, 1), (287, 1), (359, 1), (711, 1), (4073, 1), (4483, 1), (8101, 1), (8109, 1), (8110, 1)], [(8, 1), (20, 11), (21, 2), (25, 1), (30, 1), (31, 4), (37, 1), (45, 1), (50, 4), (53, 4), (75, 1), (108, 1), (117, 1), (174, 1), (185, 1), (232, 1), (256, 1), (261, 1), (323, 1), (334, 1), (347, 1), (394, 1), (442, 1), (450, 2), (531, 2), (834, 1), (1012, 1), (1021, 1), (1042, 1), (1328, 1), (1999, 1), (2251, 1), (2401, 1), (2593, 1), (2689, 1), (2691, 1), (3155, 1), (3936, 1), (4005, 1), (4079, 1), (4416, 1), (5141, 1), (5725, 1), (5910, 1), (8103, 1), (8111, 1), (8112, 1), (8113, 1), (8114, 1), (8115, 1), (8116, 1), (8117, 1), (8118, 1), (8119, 1), (8120, 1), (8121, 1)], [(8, 1), (20, 1), (22, 1), (31, 2), (32, 1), (50, 6), (53, 10), (187, 1), (268, 1), (301, 1), (334, 1), (365, 1), (991, 1), (1229, 1), (2168, 1), (2259, 1), (3835, 1), (4670, 1), (5340, 1), (7147, 1), (7184, 1), (8103, 1), (8122, 1), (8123, 1), (8124, 1), (8125, 1), (8126, 1), (8127, 1), (8128, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (45, 1), (50, 6), (53, 6), (65, 1), (69, 1), (71, 1), (99, 1), (172, 1), (185, 1), (193, 1), (285, 1), (394, 1), (448, 1), (553, 1), (1170, 1), (1350, 1), (2168, 1), (2999, 1), (4670, 1), (5503, 1), (7898, 1), (8129, 1), (8130, 1), (8131, 1), (8132, 1), (8133, 1), (8134, 1), (8135, 1), (8136, 1), (8137, 1), (8138, 1)], [(8, 1), (53, 1), (54, 1), (117, 1), (232, 1), (1572, 1), (2077, 1), (7295, 1), (8100, 1), (8103, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (21, 1), (53, 1), (54, 1), (55, 1), (65, 3), (399, 1), (516, 1), (531, 1), (775, 1), (2401, 1), (2409, 1), (2658, 1), (2712, 1), (3883, 1), (8139, 1), (8140, 1), (8141, 1), (8142, 1), (8143, 1), (8144, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (45, 1), (50, 1), (53, 2), (65, 2), (72, 1), (90, 1), (91, 2), (109, 1), (285, 1), (293, 1), (418, 1), (459, 1), (752, 1), (829, 1), (864, 1), (2076, 1), (2514, 1), (2539, 1), (3540, 1), (5017, 1), (5491, 1), (8145, 1), (8146, 1), (8147, 1), (8148, 1)], [(8, 1), (18, 2), (20, 1), (31, 1), (45, 2), (50, 1), (347, 1), (359, 1), (414, 2), (791, 1), (1363, 1), (3422, 1), (3484, 1), (4422, 1), (5270, 1), (5429, 1), (5447, 1), (5464, 1), (8140, 1), (8149, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 2), (25, 3), (31, 5), (32, 1), (37, 2), (45, 2), (50, 5), (53, 7), (56, 1), (96, 1), (108, 1), (215, 1), (217, 1), (228, 1), (256, 1), (331, 1), (355, 1), (407, 1), (410, 1), (462, 1), (505, 1), (600, 1), (609, 1), (704, 1), (711, 1), (812, 1), (1297, 1), (1305, 1), (1361, 1), (1471, 1), (1498, 2), (1995, 1), (2872, 1), (3349, 1), (3484, 1), (3553, 1), (3560, 1), (3971, 1), (3982, 1), (4073, 1), (4437, 1), (5597, 1), (6201, 1), (7144, 1), (7145, 1), (8140, 1), (8150, 1), (8151, 1), (8152, 1), (8153, 1), (8154, 1), (8155, 1), (8156, 1)], [(8, 1), (18, 4), (19, 1), (22, 1), (25, 1), (30, 2), (31, 1), (50, 1), (54, 1), (186, 1), (193, 1), (307, 1), (351, 1), (645, 1), (702, 1), (778, 2), (903, 1), (1695, 1), (2965, 1), (5067, 1), (6177, 1), (8157, 1), (8158, 1), (8159, 1), (8160, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (30, 1), (50, 1), (53, 1), (54, 1), (65, 1), (185, 1), (323, 1), (516, 1), (645, 1), (884, 1), (2145, 1), (2304, 1), (2409, 1), (6510, 1), (7411, 1), (7726, 1), (8139, 1), (8140, 1), (8161, 1), (8162, 1), (8163, 1)], [(8, 1), (20, 4), (31, 2), (37, 1), (50, 2), (53, 7), (58, 1), (71, 1), (82, 1), (90, 1), (95, 1), (108, 1), (117, 1), (193, 1), (209, 1), (214, 2), (228, 1), (232, 1), (233, 1), (269, 1), (307, 1), (317, 1), (361, 1), (418, 1), (600, 1), (1102, 1), (1172, 1), (1241, 1), (1403, 1), (1517, 1), (2916, 1), (3392, 1), (4073, 1), (4296, 1), (5339, 1), (6129, 1), (6301, 1), (8164, 1), (8165, 1)], [(8, 1), (20, 1), (25, 4), (31, 1), (50, 1), (53, 6), (55, 2), (58, 1), (77, 1), (95, 1), (215, 1), (922, 1), (1517, 3), (2089, 1), (3392, 1), (4073, 1), (8085, 1), (8166, 1), (8167, 1), (8168, 1), (8169, 1), (8170, 1), (8171, 1), (8172, 1), (8173, 1)], [(8, 1), (20, 3), (23, 1), (24, 1), (31, 1), (37, 1), (50, 1), (53, 5), (56, 1), (206, 1), (215, 1), (273, 1), (922, 1), (1517, 1), (1877, 1), (2656, 1), (2757, 1), (5429, 1), (6277, 1), (8096, 1), (8174, 1), (8175, 1), (8176, 1), (8177, 1)], [(8, 1), (19, 2), (20, 1), (50, 2), (53, 3), (109, 1), (206, 1), (450, 1), (764, 1), (834, 1), (958, 1), (982, 1), (1139, 1), (1165, 1), (1361, 1), (1460, 1), (2096, 1), (2819, 1), (2820, 1), (3121, 1), (3641, 1), (4428, 1), (4503, 1), (6941, 1), (8081, 1), (8178, 1), (8179, 1), (8180, 1), (8181, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (50, 2), (53, 3), (85, 1), (111, 1), (193, 1), (263, 1), (359, 1), (450, 1), (516, 1), (766, 1), (1035, 1), (1293, 1), (1305, 1), (1506, 1), (2140, 1), (4990, 1), (5466, 1), (6623, 1), (8081, 1), (8182, 1), (8183, 1)], [(8, 1), (20, 1), (53, 1), (91, 1), (328, 1), (711, 1), (1043, 1), (1458, 1), (1830, 1), (2816, 1), (8184, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (58, 1), (77, 2), (256, 1), (268, 1), (328, 1), (454, 1), (885, 1), (1347, 1), (1470, 1), (1471, 1), (2826, 1), (8185, 1)], [(8, 1), (18, 1), (20, 4), (23, 1), (31, 1), (37, 1), (45, 1), (50, 2), (53, 2), (82, 1), (229, 1), (256, 1), (278, 1), (414, 1), (459, 1), (530, 1), (600, 1), (672, 1), (744, 1), (1129, 1), (1241, 1), (1873, 1), (2440, 1), (3633, 1), (6129, 1), (8185, 1), (8186, 1), (8187, 1), (8188, 1), (8189, 2)], [(18, 1), (20, 2), (32, 1), (96, 1), (206, 1), (247, 1), (269, 1), (459, 1), (753, 1), (1742, 1), (2543, 1), (7463, 1), (8190, 1), (8191, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (37, 2), (40, 1), (50, 3), (53, 6), (56, 1), (82, 1), (90, 1), (91, 1), (97, 1), (109, 2), (117, 1), (168, 1), (228, 1), (232, 1), (307, 1), (365, 1), (452, 1), (502, 1), (626, 1), (702, 1), (1651, 1), (2324, 1), (2770, 1), (6129, 1), (6248, 1), (6315, 1), (8192, 1), (8193, 1), (8194, 1), (8195, 1), (8196, 1), (8197, 1)], [(20, 1), (21, 2), (173, 1), (247, 1), (268, 1), (792, 1), (812, 1), (2394, 1), (5134, 1), (8073, 1), (8198, 1)], [(8, 1), (173, 1), (307, 1), (2348, 1)], [(247, 1), (1858, 1), (2509, 1), (8199, 1)], [(18, 2), (19, 1), (20, 7), (22, 2), (25, 1), (30, 1), (31, 2), (34, 1), (45, 2), (50, 1), (53, 3), (54, 1), (55, 1), (65, 1), (72, 1), (108, 1), (117, 1), (173, 1), (174, 1), (226, 1), (232, 1), (247, 1), (292, 1), (295, 1), (327, 1), (328, 1), (334, 1), (414, 1), (420, 1), (425, 1), (1012, 1), (1342, 1), (1549, 1), (1616, 1), (1918, 1), (1958, 1), (2064, 1), (2075, 1), (2270, 1), (3459, 1), (4353, 1), (4532, 1), (5710, 1), (6129, 1), (6309, 1), (8200, 1), (8201, 1), (8202, 1), (8203, 1), (8204, 2)], [(1544, 1), (8205, 1)], [(8, 1), (6315, 1)], [(8, 1), (20, 1), (50, 1), (54, 1), (78, 1), (182, 1), (286, 1), (337, 1), (412, 1), (527, 1), (767, 1), (1361, 1), (1904, 1), (3726, 1), (5076, 1), (6315, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (24, 1), (25, 2), (37, 1), (50, 1), (53, 5), (54, 1), (55, 1), (58, 1), (71, 2), (90, 2), (108, 1), (109, 1), (166, 1), (182, 1), (193, 1), (256, 1), (275, 1), (293, 1), (337, 1), (415, 1), (709, 1), (711, 3), (903, 1), (1129, 1), (1308, 2), (1997, 1), (2035, 1), (2655, 1), (3594, 1), (3867, 1), (3934, 1), (4729, 1), (5224, 1), (6150, 1), (6423, 1), (7110, 1), (7300, 1), (7304, 1), (8206, 1), (8207, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (25, 1), (32, 1), (50, 1), (53, 2), (54, 1), (82, 1), (161, 1), (181, 1), (261, 1), (328, 1), (428, 1), (450, 1), (1102, 1), (1778, 1), (4500, 1), (4694, 1), (4729, 1), (5153, 1), (6784, 1), (7198, 1), (8208, 1), (8209, 1), (8210, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (23, 2), (31, 1), (32, 1), (50, 1), (53, 4), (69, 1), (108, 1), (109, 1), (161, 1), (237, 1), (365, 1), (459, 1), (504, 1), (763, 1), (1325, 1), (1342, 1), (1580, 2), (2064, 1), (2266, 1), (2681, 1), (2707, 1), (2812, 1), (2847, 1), (2977, 1), (3041, 1), (4957, 1), (5013, 1), (5960, 1), (6364, 1), (6418, 1), (6423, 1), (7124, 1), (8211, 1), (8212, 1), (8213, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (50, 1), (53, 1), (54, 1), (55, 1), (82, 1), (106, 1), (117, 1), (166, 1), (172, 1), (193, 1), (232, 1), (307, 1), (506, 1), (2744, 1), (2946, 1), (5913, 1), (6114, 1), (7089, 1), (8214, 1), (8215, 1), (8216, 1), (8217, 1), (8218, 1), (8219, 1), (8220, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (31, 1), (50, 2), (53, 2), (54, 1), (69, 1), (90, 1), (91, 1), (166, 1), (193, 1), (215, 1), (289, 1), (301, 1), (415, 1), (509, 1), (1655, 1), (2855, 1), (3328, 1), (4592, 1), (4742, 1), (7918, 1), (8221, 1), (8222, 1), (8223, 1)], [(8, 1), (19, 3), (20, 2), (21, 2), (23, 2), (31, 1), (37, 1), (50, 1), (53, 1), (54, 1), (58, 3), (97, 1), (111, 1), (188, 1), (293, 1), (301, 1), (305, 1), (410, 1), (426, 1), (506, 1), (709, 1), (744, 1), (903, 1), (1170, 1), (1632, 1), (1641, 1), (1824, 1), (3331, 1), (3633, 1), (8224, 1), (8225, 1), (8226, 1), (8227, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (21, 2), (23, 2), (25, 2), (26, 1), (31, 1), (50, 4), (53, 6), (55, 2), (58, 1), (65, 1), (90, 1), (97, 2), (124, 1), (161, 1), (185, 1), (286, 1), (293, 1), (334, 1), (347, 2), (353, 1), (452, 1), (459, 1), (506, 1), (709, 1), (723, 1), (753, 1), (775, 1), (833, 1), (939, 1), (1102, 1), (1348, 1), (1506, 1), (1580, 1), (1667, 1), (1702, 1), (2089, 1), (2168, 1), (2685, 1), (5543, 1), (5553, 1), (6201, 1), (6392, 1), (7496, 1), (7858, 1), (7903, 1), (7926, 1), (8228, 1), (8229, 2), (8230, 1), (8231, 1), (8232, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (31, 1), (50, 3), (53, 5), (54, 2), (58, 1), (97, 1), (197, 1), (206, 1), (301, 1), (407, 1), (709, 1), (1248, 1), (1488, 1), (1613, 1), (1792, 1), (3218, 1), (3805, 1), (3934, 1), (4739, 1), (5065, 1), (6301, 1), (8233, 1), (8234, 1), (8235, 1), (8236, 1), (8237, 1), (8238, 1)], [(8, 1), (18, 3), (20, 6), (22, 1), (25, 2), (31, 1), (45, 1), (50, 1), (65, 1), (71, 1), (82, 1), (91, 1), (124, 1), (166, 1), (197, 1), (229, 1), (269, 1), (365, 1), (459, 1), (600, 1), (645, 1), (697, 1), (711, 1), (894, 1), (1129, 1), (1296, 1), (1327, 1), (1478, 1), (2206, 1), (5874, 1), (6301, 1), (8164, 1), (8239, 1), (8240, 1), (8241, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 3), (37, 2), (50, 1), (53, 3), (58, 2), (78, 1), (85, 1), (90, 1), (97, 1), (108, 1), (109, 2), (197, 1), (346, 1), (347, 1), (419, 2), (420, 1), (434, 1), (686, 1), (709, 1), (827, 1), (1041, 1), (1102, 1), (1119, 1), (1159, 1), (1324, 1), (1342, 1), (1528, 1), (1642, 1), (2228, 1), (2246, 1), (2650, 1), (2866, 1), (2967, 2), (3480, 1), (6091, 1), (6805, 1), (6888, 1), (8242, 1), (8243, 1), (8244, 1), (8245, 1), (8246, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (23, 2), (25, 2), (50, 4), (53, 7), (54, 2), (55, 2), (90, 1), (92, 1), (122, 1), (193, 1), (215, 2), (256, 1), (269, 1), (293, 1), (420, 1), (433, 1), (506, 1), (680, 1), (709, 1), (754, 1), (777, 1), (813, 1), (834, 1), (1160, 1), (1380, 1), (1580, 1), (1627, 1), (1702, 1), (1966, 1), (1993, 1), (2064, 1), (2343, 1), (2971, 1), (3053, 1), (3611, 1), (3633, 1), (4791, 1), (6116, 1), (6232, 1), (7029, 1), (7206, 1), (7444, 1), (7892, 1), (8247, 1), (8248, 1), (8249, 1), (8250, 1), (8251, 1), (8252, 1), (8253, 1)], [(8, 1), (22, 1), (45, 1), (65, 1), (281, 1), (1904, 1), (2064, 1), (2075, 1), (2296, 1), (4764, 1), (6315, 1), (8254, 1), (8255, 1)], [(8, 1), (20, 1), (30, 1), (50, 2), (53, 1), (109, 1), (161, 1), (268, 1), (351, 1), (410, 1), (903, 1), (1911, 1), (2306, 1), (2440, 1), (5384, 1), (8256, 1), (8257, 1)], [(8, 1), (18, 1), (20, 2), (36, 1), (37, 1), (53, 3), (91, 1), (109, 2), (111, 1), (225, 1), (269, 1), (420, 1), (450, 1), (516, 1), (645, 1), (654, 1), (703, 1), (999, 1), (1324, 2), (1931, 1), (2304, 1), (2661, 1), (4415, 1), (7025, 1), (7585, 1), (7898, 1), (8258, 1), (8259, 1), (8260, 1), (8261, 1)], [(8, 1), (20, 4), (25, 1), (31, 1), (50, 1), (117, 1), (232, 1), (353, 1), (516, 1), (531, 1), (903, 1), (1012, 1), (1080, 1), (2340, 1), (2700, 1), (2985, 1), (3000, 1), (4473, 1), (8262, 1), (8263, 1), (8264, 1), (8265, 1), (8266, 1), (8267, 1)], [(8, 1), (18, 1), (20, 4), (25, 2), (31, 1), (45, 3), (50, 1), (58, 1), (65, 1), (85, 1), (99, 1), (109, 1), (269, 1), (310, 1), (399, 1), (516, 1), (632, 1), (697, 1), (726, 1), (970, 1), (1041, 1), (1057, 1), (2812, 1), (2977, 1), (3304, 1), (3355, 1), (5162, 1), (6547, 1), (7206, 1), (8138, 1), (8268, 1), (8269, 1), (8270, 1), (8271, 1), (8272, 1), (8273, 1), (8274, 1)], [(8, 1), (18, 2), (19, 1), (20, 7), (25, 2), (31, 1), (50, 1), (53, 5), (58, 1), (78, 1), (85, 1), (90, 1), (109, 1), (122, 1), (256, 1), (275, 1), (310, 1), (334, 1), (353, 1), (420, 1), (428, 1), (654, 1), (708, 1), (1352, 1), (1559, 2), (1630, 1), (1702, 1), (1720, 1), (1803, 1), (2034, 1), (2270, 1), (2616, 1), (2795, 1), (3480, 1), (3540, 1), (3760, 1), (4143, 1), (4790, 1), (8275, 1), (8276, 1), (8277, 1), (8278, 1), (8279, 1), (8280, 1), (8281, 1), (8282, 1), (8283, 1), (8284, 1), (8285, 1)], [(7, 1), (8, 1), (20, 2), (30, 1), (53, 1), (54, 2), (55, 1), (58, 1), (90, 1), (111, 1), (166, 1), (268, 1), (269, 1), (273, 1), (448, 1), (490, 1), (573, 1), (1656, 1), (2812, 1), (3052, 1), (3371, 1), (5339, 1), (5501, 1), (8286, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (53, 2), (54, 1), (58, 1), (111, 1), (268, 1), (353, 1), (448, 1), (639, 1), (884, 1), (1488, 1), (1613, 1), (3934, 1), (8287, 1), (8288, 1), (8289, 1), (8290, 1)], [(8, 1), (20, 5), (25, 1), (30, 1), (31, 2), (50, 1), (51, 2), (53, 2), (54, 1), (58, 1), (65, 1), (82, 2), (90, 2), (117, 1), (161, 1), (173, 1), (193, 1), (232, 1), (256, 1), (263, 1), (281, 1), (301, 1), (365, 1), (394, 1), (399, 1), (426, 1), (458, 1), (531, 2), (609, 1), (697, 1), (776, 1), (792, 1), (897, 1), (1057, 1), (1506, 1), (1686, 1), (2986, 1), (5932, 1), (6315, 1), (8101, 1), (8102, 1), (8103, 1), (8276, 1), (8291, 1), (8292, 1), (8293, 1), (8294, 1), (8295, 1), (8296, 1)], [(7, 1), (8, 1), (18, 1), (20, 6), (50, 1), (51, 1), (85, 1), (96, 1), (185, 2), (220, 1), (281, 1), (307, 1), (323, 1), (347, 1), (531, 1), (645, 1), (812, 2), (903, 1), (1361, 1), (1448, 1), (1498, 1), (1742, 1), (2168, 2), (2228, 1), (2270, 1), (4455, 1), (6315, 1), (6576, 1), (7206, 1), (8297, 1), (8298, 1), (8299, 1), (8300, 1)], [(8, 1), (20, 3), (50, 1), (51, 2), (53, 2), (55, 1), (65, 1), (185, 1), (365, 1), (3828, 1), (4811, 1), (5635, 1), (5871, 1), (7399, 1), (8297, 1), (8301, 1), (8302, 1), (8303, 1), (8304, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (21, 2), (30, 2), (40, 1), (53, 1), (65, 1), (71, 1), (85, 1), (90, 3), (97, 1), (108, 1), (109, 1), (169, 1), (173, 2), (233, 1), (241, 1), (268, 1), (285, 1), (293, 1), (414, 1), (420, 1), (504, 1), (601, 1), (702, 1), (743, 2), (778, 1), (893, 1), (897, 1), (1448, 1), (1685, 1), (1904, 1), (1960, 1), (2344, 1), (2417, 1), (2812, 1), (3597, 1), (3670, 1), (4459, 1), (4778, 1), (5391, 1), (6315, 1), (6424, 1), (8305, 1), (8306, 1), (8307, 1), (8308, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (25, 1), (50, 2), (53, 4), (54, 1), (58, 1), (82, 1), (90, 2), (97, 2), (108, 1), (173, 1), (185, 1), (241, 1), (281, 1), (506, 1), (763, 1), (778, 1), (792, 1), (884, 1), (1520, 1), (1616, 1), (2262, 1), (2296, 1), (2985, 1), (3638, 1), (3658, 1), (3670, 1), (5065, 1), (6034, 1), (6201, 1), (6315, 1), (8309, 1), (8310, 1), (8311, 1), (8312, 1), (8313, 1), (8314, 1), (8315, 1), (8316, 1)], [(8, 1), (19, 1), (50, 1), (53, 2), (90, 1), (95, 1), (109, 1), (117, 1), (122, 1), (185, 1), (193, 1), (217, 1), (232, 1), (347, 2), (365, 1), (506, 1), (702, 1), (790, 1), (1088, 1), (2571, 1), (2694, 1), (3501, 1), (3510, 1), (3638, 1), (6213, 1)], [(8, 1), (20, 2), (22, 1), (45, 1), (51, 1), (53, 1), (54, 1), (58, 1), (64, 2), (65, 1), (108, 1), (173, 2), (233, 1), (256, 1), (309, 1), (317, 1), (394, 1), (516, 1), (654, 1), (708, 1), (776, 1), (1163, 1), (1587, 1), (2239, 1), (2265, 1), (3484, 1), (4281, 1), (4939, 1), (8101, 1), (8102, 1), (8317, 2)], [(18, 1), (36, 1), (50, 1), (66, 1), (117, 1), (225, 1), (2906, 1), (8318, 1)], [(8, 1), (23, 1), (53, 1), (54, 1), (55, 1), (173, 1), (1477, 1), (3983, 1), (5250, 1), (8319, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (50, 1), (53, 3), (54, 1), (111, 1), (117, 1), (232, 1), (293, 1), (328, 1), (410, 1), (428, 1), (531, 2), (632, 1), (688, 1), (1129, 1), (1172, 1), (1228, 1), (1350, 1), (2064, 1), (2075, 1), (2816, 1), (3064, 1), (3100, 1), (3745, 1), (6129, 1), (8320, 1), (8321, 1), (8322, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 2), (25, 1), (31, 1), (40, 1), (53, 1), (65, 1), (85, 1), (90, 1), (117, 1), (232, 1), (269, 1), (709, 1), (790, 1), (1069, 1), (1695, 1), (1720, 1), (1904, 1), (2296, 1), (2400, 1), (2541, 1), (3000, 1), (3064, 1), (3638, 1), (4557, 1), (4950, 1), (6315, 1), (8150, 1), (8323, 1), (8324, 1), (8325, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 2), (53, 1), (54, 1), (90, 1), (351, 1), (531, 1), (627, 1), (1462, 1), (4791, 1), (5857, 1), (7859, 1), (8326, 1), (8327, 1), (8328, 1), (8329, 1), (8330, 1), (8331, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 3), (22, 2), (25, 1), (30, 1), (37, 1), (45, 1), (50, 1), (53, 1), (65, 1), (82, 1), (98, 1), (173, 1), (220, 1), (273, 1), (450, 1), (504, 1), (602, 1), (711, 1), (792, 1), (811, 1), (827, 1), (1102, 1), (1118, 1), (1487, 1), (1911, 1), (3256, 1), (3389, 1), (3733, 1), (3750, 1), (6150, 1), (6276, 1), (6301, 1), (6836, 1), (8332, 1), (8333, 1), (8334, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (31, 2), (37, 1), (45, 1), (50, 1), (53, 1), (55, 1), (82, 1), (90, 1), (91, 1), (256, 1), (307, 1), (331, 1), (448, 1), (678, 1), (1308, 1), (2161, 1), (2296, 1), (2456, 1), (2977, 1), (4209, 1), (4910, 1), (6315, 1), (7745, 1), (7798, 1), (8314, 1), (8335, 1)], [(8, 1), (20, 2), (31, 1), (45, 2), (53, 1), (109, 1), (173, 1), (174, 1), (428, 1), (763, 1), (1010, 1), (1834, 1), (4027, 1), (4729, 1), (8336, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (31, 1), (45, 1), (53, 2), (54, 1), (65, 1), (90, 1), (111, 2), (173, 2), (197, 1), (281, 1), (301, 1), (337, 1), (347, 1), (361, 1), (531, 1), (974, 1), (1506, 1), (1699, 1), (2064, 1), (2681, 1), (2694, 1), (2926, 1), (2965, 1), (3064, 1), (6274, 1), (6720, 1), (6918, 1), (8337, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 2), (25, 1), (30, 1), (50, 1), (53, 4), (109, 1), (173, 1), (209, 1), (215, 1), (256, 1), (265, 1), (293, 1), (347, 2), (365, 1), (420, 1), (504, 1), (527, 1), (709, 1), (884, 1), (893, 1), (897, 1), (1160, 3), (1587, 1), (1702, 1), (2228, 1), (2266, 1), (2466, 1), (2785, 1), (2911, 1), (4214, 1), (4387, 1), (5304, 1), (7352, 1), (8249, 1), (8338, 1), (8339, 1), (8340, 1)], [(7, 2), (8, 1), (19, 1), (20, 8), (22, 1), (25, 1), (31, 1), (37, 1), (53, 2), (54, 1), (58, 1), (69, 1), (90, 2), (108, 1), (111, 1), (173, 3), (193, 1), (215, 3), (233, 1), (256, 1), (317, 1), (328, 1), (331, 1), (414, 1), (426, 1), (792, 1), (903, 1), (1010, 1), (1824, 1), (2064, 1), (2265, 1), (2344, 1), (4216, 1), (4485, 1), (4778, 1), (8341, 1), (8342, 1)], [(8, 1), (18, 1), (19, 3), (20, 7), (22, 3), (25, 1), (32, 2), (37, 2), (40, 1), (45, 1), (50, 1), (53, 4), (54, 2), (82, 1), (85, 1), (90, 3), (108, 1), (111, 2), (215, 1), (269, 1), (281, 3), (293, 1), (301, 1), (316, 1), (328, 1), (459, 2), (527, 1), (884, 1), (904, 1), (1043, 1), (1241, 1), (1274, 1), (1301, 1), (1308, 1), (1324, 1), (1377, 1), (1820, 1), (2096, 1), (2253, 1), (3114, 1), (3585, 2), (3746, 1), (3934, 1), (4491, 1), (5053, 1), (5224, 1), (5880, 1), (6129, 1), (6315, 1), (6710, 1), (8343, 1), (8344, 1), (8345, 2), (8346, 1), (8347, 1), (8348, 1), (8349, 1), (8350, 1)], [(8, 1), (19, 2), (20, 5), (30, 1), (45, 1), (50, 1), (53, 2), (109, 1), (174, 1), (282, 1), (419, 1), (426, 1), (903, 1), (1829, 1), (2246, 1), (2270, 1), (2475, 1), (2967, 1), (3828, 1), (8351, 1), (8352, 1), (8353, 1), (8354, 1)], [(8, 1), (18, 1), (19, 3), (20, 10), (22, 2), (25, 1), (31, 1), (50, 1), (51, 1), (53, 5), (65, 3), (90, 1), (190, 1), (193, 1), (202, 1), (215, 1), (260, 1), (286, 1), (293, 1), (407, 1), (420, 1), (448, 1), (744, 1), (792, 1), (884, 1), (1010, 1), (1053, 1), (1131, 1), (1435, 1), (1520, 1), (1587, 1), (1857, 1), (2201, 1), (2258, 1), (2332, 1), (2862, 1), (4198, 1), (5719, 1), (6315, 1), (6489, 1), (7352, 1), (8355, 1), (8356, 1), (8357, 1), (8358, 1), (8359, 1), (8360, 1), (8361, 1), (8362, 1), (8363, 1), (8364, 1), (8365, 1), (8366, 1), (8367, 1), (8368, 1), (8369, 1), (8370, 1)], [(8, 1), (18, 2), (20, 3), (31, 2), (50, 1), (53, 1), (85, 1), (97, 1), (161, 1), (172, 1), (173, 1), (285, 1), (415, 1), (645, 1), (776, 1), (792, 1), (833, 1), (1170, 1), (1627, 1), (2140, 1), (2258, 1), (2657, 1), (4742, 1), (8371, 1), (8372, 1), (8373, 1)], [(1544, 1), (8374, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (4683, 1), (6315, 1), (7295, 1), (8375, 1)], [(8, 1), (20, 5), (25, 2), (32, 1), (37, 1), (50, 2), (53, 5), (69, 1), (92, 1), (97, 1), (112, 1), (193, 1), (365, 1), (412, 1), (414, 1), (757, 1), (1219, 1), (2070, 1), (2322, 1), (2348, 1), (2680, 1), (4168, 1), (4353, 1), (6129, 1), (7682, 1), (8376, 1), (8377, 1), (8378, 1), (8379, 1), (8380, 1), (8381, 1)], [(8, 1), (20, 8), (21, 1), (24, 1), (50, 1), (55, 1), (65, 1), (186, 2), (215, 1), (300, 1), (412, 1), (459, 1), (680, 1), (2198, 1), (2805, 1), (3197, 1), (4563, 1), (5400, 1), (8382, 1), (8383, 1), (8384, 1), (8385, 1), (8386, 1), (8387, 1), (8388, 1), (8389, 1), (8390, 1)], [(20, 3), (24, 1), (25, 1), (31, 2), (50, 1), (53, 2), (193, 1), (247, 1), (450, 1), (903, 1), (1587, 1), (1762, 1), (1910, 1), (5270, 1), (5616, 1), (8146, 1), (8391, 1), (8392, 1), (8393, 1), (8394, 1), (8395, 1), (8396, 1), (8397, 1), (8398, 1), (8399, 1), (8400, 1), (8401, 1), (8402, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (117, 1), (286, 1), (412, 1), (645, 1), (744, 2), (1910, 1), (2036, 1), (2320, 1), (2994, 1), (6710, 1), (8403, 1), (8404, 1), (8405, 1)], [(8, 1), (19, 1), (25, 1), (37, 1), (50, 1), (53, 2), (56, 1), (82, 1), (90, 1), (301, 1), (792, 1), (1467, 1), (2967, 1), (4503, 1), (5385, 1), (8406, 1), (8407, 1), (8408, 1), (8409, 1), (8410, 1)], [(8, 1), (20, 2), (22, 1), (50, 2), (53, 3), (215, 1), (281, 1), (300, 1), (407, 1), (414, 1), (420, 1), (426, 1), (711, 1), (897, 1), (1159, 1), (1528, 1), (1613, 1), (1628, 1), (1665, 1), (1702, 1), (1883, 1), (2322, 1), (2406, 1), (4382, 1), (5607, 1), (8397, 1), (8411, 1), (8412, 1), (8413, 1), (8414, 1)], [(8, 1), (20, 1), (25, 1), (37, 1), (117, 1), (124, 2), (206, 1), (232, 1), (331, 1), (414, 1), (711, 1), (6315, 1), (8072, 1), (8219, 1), (8415, 1), (8416, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (53, 2), (55, 2), (77, 1), (90, 1), (215, 1), (225, 1), (502, 1), (504, 1), (505, 1), (516, 1), (645, 1), (983, 1), (1160, 1), (1685, 1), (2029, 1), (3942, 1), (4249, 1), (5380, 1), (6150, 1), (7184, 1), (8417, 1)], [(8, 1), (19, 1), (20, 1), (51, 1), (53, 2), (65, 2), (190, 1), (365, 1), (421, 1), (450, 1), (1224, 1), (1834, 1), (2064, 1), (3810, 1), (7304, 1), (8418, 1), (8419, 1), (8420, 1), (8421, 1)], [(8, 1), (19, 3), (20, 5), (22, 1), (31, 1), (32, 1), (45, 1), (50, 1), (53, 4), (54, 1), (55, 1), (90, 2), (109, 1), (122, 1), (124, 1), (173, 1), (289, 1), (293, 2), (430, 1), (459, 1), (833, 1), (903, 1), (1010, 1), (1282, 1), (1308, 1), (2592, 1), (2625, 1), (2753, 1), (3476, 1), (4729, 2), (5052, 1), (6315, 1)], [(19, 4), (20, 1), (51, 1), (64, 1), (65, 1), (66, 1), (71, 1), (108, 1), (117, 1), (122, 1), (173, 1), (185, 1), (232, 1), (269, 1), (285, 1), (287, 1), (310, 1), (428, 1), (506, 1), (516, 2), (531, 1), (1198, 1), (1325, 1), (1377, 1), (1580, 1), (1764, 1), (2358, 1), (3111, 1), (3912, 1), (4328, 1), (4852, 1), (4858, 1), (7236, 1), (8422, 1), (8423, 1), (8424, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 10), (22, 3), (25, 3), (45, 1), (50, 4), (51, 1), (53, 11), (54, 1), (55, 1), (58, 2), (65, 2), (69, 1), (71, 1), (82, 1), (108, 1), (174, 1), (185, 1), (193, 1), (197, 1), (215, 1), (241, 1), (256, 1), (281, 1), (285, 3), (310, 1), (361, 1), (404, 1), (414, 1), (420, 3), (448, 1), (450, 1), (459, 1), (504, 1), (645, 1), (697, 1), (739, 1), (753, 1), (813, 1), (1041, 1), (1224, 1), (1540, 1), (1665, 1), (1689, 1), (1892, 1), (1958, 1), (2064, 1), (2076, 1), (2184, 1), (2270, 1), (2343, 1), (2729, 1), (2734, 1), (2808, 1), (2912, 1), (2981, 1), (4729, 1), (5257, 1), (5468, 1), (6364, 1), (6423, 1), (7236, 1), (7299, 1), (7362, 1), (7433, 1), (8425, 2), (8426, 1), (8427, 1), (8428, 1), (8429, 1), (8430, 1), (8431, 1), (8432, 1), (8433, 1), (8434, 1), (8435, 1), (8436, 1), (8437, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (25, 1), (30, 1), (31, 1), (45, 2), (50, 4), (53, 3), (54, 1), (65, 1), (90, 2), (108, 1), (109, 1), (172, 2), (173, 1), (193, 1), (206, 1), (217, 2), (285, 2), (388, 1), (414, 1), (449, 1), (450, 1), (462, 1), (516, 1), (744, 1), (757, 1), (1097, 1), (1877, 1), (2049, 1), (2064, 1), (2075, 1), (2323, 1), (2694, 1), (2744, 1), (3641, 1), (3728, 1), (3934, 1), (4123, 1), (4482, 1), (4483, 1), (4686, 1), (7968, 1), (8438, 1), (8439, 1), (8440, 1), (8441, 1), (8442, 1), (8443, 1), (8444, 1), (8445, 1), (8446, 1)], [(8, 1), (18, 2), (19, 2), (20, 12), (22, 3), (25, 3), (30, 1), (50, 3), (51, 1), (53, 7), (54, 3), (55, 2), (58, 1), (65, 1), (71, 1), (90, 1), (108, 1), (109, 2), (166, 1), (173, 1), (186, 1), (215, 1), (256, 1), (268, 1), (269, 1), (273, 1), (278, 1), (301, 1), (328, 1), (338, 1), (410, 1), (414, 1), (426, 1), (428, 1), (448, 1), (504, 1), (516, 1), (526, 1), (601, 1), (697, 1), (709, 1), (713, 1), (776, 1), (897, 1), (1433, 1), (1572, 1), (1901, 1), (1904, 1), (2077, 1), (2242, 1), (2279, 1), (2440, 1), (2694, 1), (2753, 1), (3378, 1), (3981, 1), (5583, 1), (5878, 1), (6315, 1), (6364, 1), (6886, 1), (7295, 1), (8253, 1), (8352, 1), (8442, 1), (8447, 1), (8448, 1), (8449, 1), (8450, 1), (8451, 1), (8452, 1), (8453, 1), (8454, 1), (8455, 1), (8456, 1), (8457, 1), (8458, 1)], [(247, 1), (2058, 1)], [(8, 1), (20, 1), (82, 1), (357, 1), (897, 1), (3034, 1), (6298, 1), (6315, 1), (7295, 1)], [(18, 1), (20, 2), (23, 1), (64, 2), (65, 1), (90, 2), (233, 1), (357, 1), (506, 1), (1163, 1), (1459, 1), (1714, 1), (6315, 1), (6399, 1), (7295, 1), (8459, 1), (8460, 1), (8461, 1), (8462, 1)], [(8, 1), (22, 1), (23, 1), (287, 1), (301, 1), (347, 1), (3831, 1), (4841, 1), (8463, 1)], [(19, 3), (20, 3), (22, 1), (25, 1), (53, 1), (193, 1), (215, 1), (269, 1), (295, 2), (744, 1), (1139, 1), (1178, 1), (1228, 1), (1799, 1), (2036, 1), (2344, 1), (2633, 1), (3790, 1), (4328, 1), (4841, 1), (5788, 1), (7279, 1), (8464, 1), (8465, 1), (8466, 1), (8467, 1)], [(18, 1), (19, 2), (20, 4), (22, 2), (23, 2), (50, 1), (51, 1), (53, 2), (54, 1), (58, 1), (64, 1), (66, 1), (71, 1), (82, 1), (90, 1), (193, 1), (233, 1), (242, 1), (256, 1), (293, 1), (516, 1), (645, 1), (697, 1), (833, 1), (897, 1), (949, 2), (1160, 1), (1350, 1), (1416, 1), (1685, 1), (1856, 1), (2839, 1), (2924, 1), (3384, 1), (3572, 1), (6335, 1), (7295, 1), (8468, 1), (8469, 1), (8470, 1), (8471, 1)], [(64, 1), (247, 1), (6994, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (45, 1), (215, 1), (448, 1), (449, 1), (504, 1), (673, 1), (753, 1), (899, 1), (1324, 1), (2036, 1), (6315, 1), (8472, 1), (8473, 1), (8474, 1), (8475, 1)], [(18, 1), (20, 4), (22, 1), (23, 1), (64, 2), (66, 1), (71, 1), (72, 1), (82, 2), (190, 1), (233, 1), (949, 2), (1163, 1), (1165, 1), (1824, 1), (3790, 1), (7295, 1), (8476, 1), (8477, 1)], [(18, 2), (20, 4), (23, 1), (25, 3), (50, 1), (53, 1), (56, 1), (64, 1), (71, 1), (72, 1), (111, 1), (117, 1), (245, 1), (300, 1), (531, 1), (1178, 1), (1760, 1), (2157, 1), (2744, 1), (2854, 1), (8478, 1), (8479, 1), (8480, 1), (8481, 1)], [(8, 1), (20, 2), (30, 1), (31, 1), (45, 1), (55, 1), (90, 1), (173, 1), (185, 1), (209, 1), (233, 1), (281, 1), (744, 1), (1620, 1), (4600, 1), (5065, 1), (6315, 1), (6962, 1), (7295, 1), (8314, 1), (8482, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (53, 1), (54, 1), (58, 1), (64, 1), (65, 1), (108, 1), (173, 1), (215, 1), (293, 1), (307, 1), (654, 1), (812, 1), (894, 1), (1163, 1), (1377, 1), (2024, 1), (2320, 1), (2417, 1), (3591, 1), (3912, 1), (4729, 1), (7236, 1), (7295, 1), (7466, 1)], [(8, 1), (52, 1), (64, 1), (117, 1), (122, 1), (232, 1), (452, 1)], [(19, 1), (20, 4), (21, 1), (22, 1), (23, 1), (25, 2), (30, 2), (32, 1), (63, 1), (90, 1), (96, 1), (108, 1), (111, 1), (117, 2), (226, 1), (232, 1), (240, 1), (287, 1), (310, 1), (327, 1), (414, 1), (490, 1), (626, 1), (759, 1), (948, 1), (1580, 1), (1683, 1), (1714, 1), (1907, 1), (3034, 1), (3616, 1), (5375, 1), (7295, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (31, 1), (40, 1), (53, 2), (54, 1), (58, 1), (71, 1), (90, 1), (186, 1), (236, 1), (256, 1), (285, 1), (309, 1), (506, 1), (763, 1), (948, 1), (1342, 1), (1778, 1), (8483, 1)], [(8, 1), (20, 2), (22, 3), (25, 2), (30, 1), (40, 1), (51, 1), (52, 3), (53, 1), (55, 1), (88, 1), (117, 3), (122, 1), (173, 2), (232, 3), (278, 1), (410, 1), (452, 1), (645, 1), (2066, 1), (2228, 1), (4036, 1), (4390, 1), (4957, 1), (7295, 1)], [(45, 1), (65, 1), (173, 1), (193, 1), (247, 1), (261, 1), (506, 1), (516, 1), (1347, 1), (3786, 1), (5377, 1), (8484, 1), (8485, 1)], [(77, 1), (173, 1), (1714, 1), (3221, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (58, 1), (71, 1), (117, 1), (203, 1), (215, 2), (232, 1), (328, 2), (414, 2), (420, 1), (1541, 1), (1594, 1), (1901, 2), (2064, 1), (8486, 1), (8487, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (32, 1), (36, 1), (45, 1), (50, 1), (53, 1), (65, 1), (85, 1), (117, 1), (124, 1), (173, 1), (404, 1), (759, 1), (833, 1), (897, 1), (974, 1), (1248, 1), (1665, 1), (1799, 1), (1907, 1), (2471, 1), (2899, 1), (5257, 1)], [(18, 3), (20, 6), (25, 4), (37, 1), (50, 2), (51, 1), (53, 6), (58, 1), (65, 1), (69, 1), (90, 2), (117, 2), (173, 1), (193, 1), (215, 1), (217, 1), (232, 1), (310, 1), (347, 1), (414, 1), (428, 1), (506, 1), (645, 1), (759, 1), (813, 1), (1102, 1), (1542, 1), (1714, 1), (2029, 1), (2145, 1), (2318, 1), (2516, 1), (2695, 1), (2926, 1), (3048, 1), (3369, 1), (3425, 1), (3623, 1), (3694, 1), (4734, 1), (5601, 1), (7171, 1), (7333, 1), (7821, 1), (8488, 1), (8489, 1), (8490, 1), (8491, 1), (8492, 1)], [(51, 1), (126, 1), (247, 1), (645, 1), (3425, 1)], [(8, 1), (18, 3), (21, 1), (22, 1), (23, 1), (50, 1), (58, 1), (65, 2), (96, 1), (117, 2), (173, 1), (232, 2), (273, 1), (448, 1), (711, 1), (795, 1), (892, 1), (1911, 1), (2470, 1), (3083, 1), (3182, 1), (3240, 1), (3633, 1), (4883, 1), (8037, 1), (8493, 1), (8494, 1), (8495, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (53, 1), (58, 2), (77, 1), (96, 1), (109, 1), (117, 1), (240, 1), (256, 1), (345, 1), (444, 1), (506, 1), (759, 1), (1907, 1), (2013, 1), (2515, 1), (3034, 1)], [(19, 1), (20, 3), (22, 2), (23, 2), (36, 1), (50, 1), (53, 1), (65, 1), (90, 1), (96, 2), (108, 2), (117, 2), (173, 2), (197, 1), (215, 1), (232, 2), (263, 1), (337, 1), (378, 1), (428, 1), (506, 1), (516, 1), (743, 1), (1224, 1), (1714, 1), (1867, 1), (2202, 1), (3034, 1), (7202, 1), (8488, 1), (8489, 1), (8496, 1), (8497, 1)], [(30, 1), (31, 1), (53, 1), (55, 1), (117, 1), (232, 1), (353, 1), (1714, 1), (1867, 1), (2010, 1), (8498, 1)], [(20, 1), (32, 1), (52, 1), (90, 1), (117, 1), (759, 1), (1714, 1), (7214, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (51, 1), (53, 1), (58, 1), (108, 1), (117, 2), (232, 2), (268, 1), (301, 1), (325, 1), (328, 1), (378, 1), (2826, 1), (3465, 1), (8499, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (53, 1), (56, 1), (58, 1), (71, 1), (117, 2), (232, 2), (428, 1), (504, 1), (506, 1), (970, 1), (1180, 1), (1308, 1), (1529, 1), (3832, 1), (4940, 1), (4977, 1), (5339, 1), (8500, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (32, 1), (50, 2), (52, 1), (53, 1), (58, 1), (90, 3), (117, 2), (232, 2), (278, 1), (331, 1), (342, 1), (387, 1), (410, 1), (763, 1), (813, 1), (1685, 1), (8501, 1)], [(8, 1), (19, 1), (20, 2), (37, 1), (50, 1), (52, 1), (117, 1), (214, 1), (256, 1), (342, 1), (487, 1), (506, 1), (702, 1), (2906, 1), (8500, 1)], [(8, 1), (90, 1), (117, 1), (232, 1), (301, 1), (305, 1), (1580, 1), (8502, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (25, 1), (77, 2), (82, 1), (99, 1), (226, 1), (241, 1), (378, 1), (420, 1), (581, 1), (1458, 1), (1580, 2), (1799, 1), (6691, 1), (8503, 1), (8504, 1), (8505, 1)], [(90, 1), (117, 1), (232, 1), (288, 1), (301, 1), (1714, 1)], [(18, 1), (117, 1), (173, 1), (506, 1), (759, 1), (1714, 1), (2498, 1), (3633, 1), (3790, 1)], [(247, 1), (8506, 1)], [(18, 2), (20, 1), (25, 1), (50, 2), (72, 1), (173, 1), (247, 1), (414, 1), (506, 1), (1760, 1), (2654, 1), (2744, 1), (3241, 1), (3540, 1), (3746, 1), (8480, 1), (8507, 1)], [(8, 1), (20, 1), (25, 1), (36, 1), (55, 1), (58, 1), (172, 1), (215, 1), (240, 1), (506, 1), (601, 1), (3181, 1), (8508, 1)], [(8, 1), (20, 3), (23, 2), (25, 1), (37, 1), (45, 1), (54, 1), (55, 1), (58, 1), (63, 1), (117, 1), (173, 1), (293, 1), (506, 1), (759, 1), (771, 1), (2498, 1), (3270, 1), (5029, 1), (5053, 1), (8483, 1), (8509, 1), (8510, 1)], [(8, 1), (18, 1), (122, 1), (516, 1), (790, 1), (3945, 1), (8484, 1)], [(53, 2), (55, 1), (117, 1), (167, 1), (232, 1), (506, 1), (596, 1), (1196, 1), (1714, 1)], [(8, 1), (23, 1), (117, 1), (414, 1), (759, 1), (800, 1), (970, 1), (1580, 1), (1766, 1), (1907, 1)], [(8, 1), (18, 1), (50, 2), (51, 1), (85, 1), (90, 1), (225, 1), (506, 1), (632, 1), (645, 1), (813, 1), (2406, 1), (4722, 1), (6973, 1), (8511, 1)], [(20, 2), (21, 1), (23, 1), (53, 1), (172, 1), (203, 1), (217, 1), (345, 1), (639, 1), (1102, 1), (1347, 1), (1714, 1), (3273, 1)], [(288, 1), (1714, 1)], [(7, 1), (19, 2), (20, 1), (22, 2), (23, 1), (25, 1), (31, 1), (34, 1), (53, 2), (58, 1), (66, 1), (117, 2), (185, 1), (226, 1), (232, 1), (256, 1), (288, 2), (293, 1), (378, 1), (697, 1), (777, 1), (1308, 1), (1458, 1), (1683, 1), (2009, 1), (2854, 1), (2926, 1), (3048, 1), (3635, 1), (3646, 1), (8512, 1), (8513, 1)], [(1544, 1), (8514, 1)], [(8, 1), (24, 1), (8515, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (25, 2), (30, 2), (45, 2), (50, 2), (53, 2), (55, 1), (108, 2), (173, 1), (215, 1), (217, 1), (347, 2), (441, 1), (777, 1), (897, 1), (1044, 1), (1282, 1), (1519, 1), (1529, 1), (1693, 1), (1694, 1), (1960, 1), (2296, 1), (2343, 1), (2694, 1), (3013, 1), (3994, 1), (4826, 1), (5710, 1), (6315, 1), (6364, 1), (6720, 1), (7295, 1)], [(8, 1), (20, 1), (25, 2), (50, 1), (53, 5), (173, 1), (193, 1), (414, 1), (632, 1), (1044, 1), (1227, 1), (2064, 1), (2967, 1), (3536, 1), (6076, 1), (6720, 1), (8516, 1), (8517, 1), (8518, 1)], [(8, 1), (20, 3), (50, 3), (51, 1), (53, 4), (65, 1), (359, 1), (365, 1), (459, 1), (604, 1), (2744, 1), (3647, 1), (6170, 1), (7356, 1), (8519, 1), (8520, 1), (8521, 1), (8522, 1), (8523, 1), (8524, 1)], [(20, 2), (30, 1), (50, 2), (53, 1), (58, 1), (90, 1), (166, 1), (193, 1), (269, 1), (414, 1), (442, 1), (654, 1), (897, 1), (1170, 1), (1347, 1), (1699, 1), (1714, 1), (6022, 1), (6315, 1), (8525, 1), (8526, 1), (8527, 1)], [(8, 1), (18, 3), (20, 2), (25, 2), (50, 3), (53, 2), (54, 1), (286, 1), (334, 1), (365, 1), (447, 1), (3100, 1), (5153, 1), (6315, 1), (8528, 1), (8529, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (45, 2), (53, 1), (97, 2), (109, 1), (382, 1), (426, 1), (428, 1), (626, 1), (757, 1), (996, 1), (1458, 1), (2019, 1), (2085, 1), (2185, 1), (2336, 1), (2977, 1), (3557, 1), (5302, 1), (6034, 1), (7280, 1)], [(8, 1), (20, 2), (32, 1), (53, 1), (64, 2), (173, 1), (185, 1), (193, 1), (268, 1), (1163, 1), (1347, 1), (2344, 1), (3634, 1), (6627, 1), (7184, 1), (8530, 1), (8531, 1), (8532, 1)], [(20, 1), (247, 1), (1044, 1), (1580, 1), (1583, 1)], [(55, 1), (58, 1), (71, 1), (170, 1), (203, 1), (247, 1), (287, 1), (504, 1), (506, 1), (1829, 1), (2320, 1), (4841, 1)], [(8, 1), (19, 2), (20, 6), (21, 1), (22, 1), (23, 1), (25, 3), (37, 1), (50, 1), (53, 3), (55, 1), (82, 1), (95, 1), (172, 1), (215, 1), (217, 1), (325, 1), (459, 1), (504, 1), (516, 1), (586, 1), (744, 1), (1529, 1), (1580, 1), (2622, 1), (2667, 1), (3634, 1), (4390, 1), (5559, 1), (6281, 2), (6526, 1), (8007, 1), (8533, 1), (8534, 1), (8535, 1), (8536, 1), (8537, 1), (8538, 1)], [(23, 1), (55, 1), (172, 1), (185, 1), (596, 1), (1044, 1), (1714, 1), (2245, 1)], [(8, 1), (19, 1), (20, 2), (65, 1), (77, 1), (82, 1), (90, 1), (106, 1), (108, 1), (186, 1), (387, 1), (399, 2), (516, 1), (778, 2), (1435, 1), (1883, 2), (2374, 1), (2495, 1), (2734, 1), (7206, 1), (7899, 1), (8270, 1), (8539, 1), (8540, 1), (8541, 1)], [(23, 1), (117, 1), (124, 1), (268, 1), (1198, 1), (1801, 1), (2854, 1)], [(8, 1), (36, 1), (53, 2), (365, 1), (428, 1), (1044, 1), (1702, 1), (2469, 1), (3283, 1)], [(7, 1), (8, 1), (22, 1), (24, 1), (31, 1), (53, 5), (353, 1), (435, 1), (709, 1), (922, 1), (999, 1), (1044, 1), (1528, 1), (1570, 1), (8542, 1), (8543, 1), (8544, 1)], [(8, 1), (20, 1), (53, 1), (1068, 1), (2305, 1), (2753, 1), (3446, 1), (4715, 1), (6315, 1), (8545, 1)], [(1544, 1), (8546, 1)], [(8, 1), (8547, 1), (8548, 1)], [(8, 1), (2926, 1), (3911, 1), (5562, 1), (7295, 1), (7411, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (52, 1), (64, 1), (65, 1), (347, 1), (812, 1), (1582, 1), (2153, 1), (3679, 1), (8075, 1)], [(19, 1), (20, 4), (22, 1), (23, 3), (25, 1), (51, 1), (53, 1), (55, 1), (58, 1), (117, 1), (173, 1), (232, 1), (240, 1), (247, 1), (281, 1), (420, 1), (506, 1), (626, 1), (645, 2), (708, 1), (884, 1), (970, 1), (1580, 3), (1628, 1), (2694, 1), (2705, 1), (3034, 1), (3270, 1), (3333, 1), (3638, 2), (8508, 2), (8549, 1)], [(20, 1), (247, 1), (331, 1), (897, 1), (8550, 1)], [(8, 1), (18, 2), (20, 3), (23, 1), (25, 1), (58, 1), (193, 1), (516, 1), (903, 1), (2466, 1), (5877, 1), (6315, 1), (7086, 1), (8551, 1), (8552, 1)], [(8, 1), (19, 2), (20, 5), (21, 2), (23, 2), (31, 1), (37, 3), (50, 1), (54, 3), (58, 1), (63, 1), (71, 1), (82, 1), (90, 3), (92, 1), (96, 1), (99, 1), (109, 1), (124, 1), (185, 1), (214, 1), (288, 1), (289, 1), (301, 1), (337, 1), (531, 1), (903, 1), (1149, 1), (1702, 1), (3034, 1), (3168, 1), (3270, 1), (3358, 1), (3495, 2), (3728, 1), (6315, 1), (6604, 1), (7411, 1)], [(20, 1), (23, 1), (53, 1), (96, 1), (117, 3), (232, 1), (1714, 1), (1845, 1), (2009, 1), (4794, 1), (8037, 1)], [(18, 2), (20, 1), (82, 1), (117, 1), (122, 1), (232, 1), (1308, 1), (3506, 1), (3638, 2), (4797, 1), (4867, 1)], [(8, 1), (18, 3), (25, 1), (117, 1), (232, 1), (328, 1), (331, 1), (672, 1), (678, 1), (893, 1), (2026, 2), (2036, 1), (2037, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (53, 1), (75, 1), (96, 1), (109, 2), (117, 1), (124, 1), (232, 1), (457, 1), (658, 1), (833, 1), (1988, 1), (2712, 1), (2744, 1), (4062, 1), (7411, 1), (7466, 2), (8553, 1)], [(8, 1), (20, 1), (21, 1), (24, 1), (53, 1), (90, 1), (645, 1), (672, 2), (884, 1), (1580, 1), (4062, 1), (6604, 1), (6923, 1)], [(8, 1), (18, 2), (19, 2), (20, 7), (21, 2), (23, 4), (32, 1), (37, 3), (45, 1), (53, 2), (54, 3), (58, 1), (90, 1), (96, 1), (117, 2), (232, 1), (256, 1), (273, 1), (293, 1), (305, 1), (331, 1), (1149, 2), (1529, 3), (1580, 1), (1594, 1), (2009, 1), (2780, 1), (3358, 1), (3638, 1), (7191, 1), (8552, 1), (8553, 2), (8554, 1), (8555, 1), (8556, 1), (8557, 1), (8558, 1)], [(8, 1), (18, 3), (20, 2), (21, 2), (23, 1), (31, 1), (54, 1), (58, 1), (82, 1), (90, 1), (117, 1), (173, 1), (506, 1), (1308, 2), (1778, 1), (2009, 1), (2666, 1), (3270, 1), (3352, 1), (4794, 1), (5142, 1), (8365, 1), (8559, 1), (8560, 1)], [(8, 1), (18, 3), (20, 4), (21, 2), (22, 2), (23, 1), (50, 2), (53, 2), (58, 3), (77, 1), (96, 1), (117, 2), (119, 1), (193, 1), (258, 1), (489, 1), (504, 1), (506, 1), (776, 1), (813, 1), (1170, 1), (1596, 1), (1903, 1), (2009, 1), (2149, 1), (2318, 1), (2340, 2), (2862, 2), (3121, 1), (4794, 1), (5902, 1), (6158, 1), (6604, 1), (8508, 1), (8561, 1)], [(18, 1), (19, 1), (77, 1), (185, 1), (301, 1), (310, 1), (1287, 1), (1308, 1), (4797, 1), (6604, 1), (8562, 1)], [(8, 1), (20, 1), (32, 1), (50, 1), (53, 2), (301, 1), (3036, 1), (3679, 1), (3724, 1), (3922, 1), (7411, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (23, 1), (25, 1), (45, 1), (50, 1), (51, 1), (53, 2), (54, 1), (55, 1), (65, 1), (68, 1), (193, 1), (414, 1), (506, 2), (626, 1), (727, 1), (813, 1), (1122, 1), (1324, 1), (2732, 1), (3539, 1), (8076, 1), (8552, 1), (8563, 1), (8564, 1), (8565, 1), (8566, 1)], [(99, 1), (117, 2), (214, 1), (596, 1), (4779, 1), (8567, 1)], [(8, 1), (173, 1), (2490, 1)], [(247, 1), (8568, 1)], [(8, 1), (20, 1), (23, 1), (54, 1), (256, 1), (645, 1), (4943, 1)], [(18, 1), (247, 1), (2153, 1), (8569, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (54, 1), (63, 1), (301, 1), (777, 1), (1416, 1), (3134, 1), (8570, 1)], [(23, 1), (117, 1), (242, 1), (410, 1), (596, 1), (4779, 1)], [(8, 1), (23, 1), (193, 1), (2344, 1), (2490, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (50, 1), (77, 1), (90, 1), (96, 1), (117, 1), (331, 1), (516, 1), (743, 1), (1195, 1), (1714, 1), (2245, 1), (3034, 1), (6379, 1), (8571, 1)], [(18, 1), (1336, 1), (2853, 1), (3215, 1), (3270, 1), (4779, 1)], [(8, 1), (18, 2), (19, 1), (20, 9), (21, 1), (23, 2), (25, 1), (45, 2), (50, 2), (53, 2), (54, 1), (55, 1), (85, 1), (90, 1), (96, 1), (99, 1), (108, 1), (173, 2), (186, 1), (233, 1), (263, 1), (268, 1), (342, 1), (347, 2), (506, 1), (639, 1), (645, 1), (710, 2), (726, 1), (777, 1), (833, 1), (1122, 1), (1330, 1), (1683, 1), (1685, 1), (2149, 1), (2406, 1), (3241, 1), (3351, 1), (3760, 1), (3803, 1), (4793, 1), (5153, 1), (5441, 1), (5719, 1), (5761, 1), (7411, 1), (8572, 1), (8573, 1)], [(20, 3), (23, 3), (51, 1), (99, 1), (117, 2), (414, 1), (759, 1), (1180, 1), (2077, 1), (3132, 1), (3182, 1), (3270, 1), (3291, 1), (4797, 1), (8574, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (37, 1), (45, 1), (50, 2), (53, 1), (58, 1), (117, 2), (173, 1), (229, 1), (233, 1), (516, 1), (813, 1), (1342, 1), (2466, 1), (2740, 1), (4179, 1), (4794, 1), (5102, 1), (7295, 2), (8575, 1), (8576, 1), (8577, 1), (8578, 1), (8579, 1)], [(8, 1), (19, 2), (20, 1), (23, 2), (45, 1), (53, 1), (117, 2), (173, 1), (215, 1), (236, 1), (240, 1), (601, 1), (759, 1), (777, 1), (1458, 1), (1764, 1), (2234, 1), (3091, 1), (3864, 1), (4179, 2), (4794, 1), (4977, 1), (7216, 1), (7295, 2), (8551, 1), (8552, 1)], [(20, 2), (23, 1), (58, 1), (85, 1), (90, 1), (108, 1), (117, 1), (173, 1), (301, 1), (347, 1), (420, 1), (1308, 1), (1562, 1), (1580, 1), (1731, 1), (2318, 1), (3616, 1), (5728, 1), (8551, 1), (8580, 1)], [(20, 2), (23, 1), (32, 1), (51, 1), (53, 1), (96, 1), (117, 3), (232, 1), (1180, 1), (1196, 1), (2490, 1), (4779, 1), (4794, 1), (8581, 1)], [(8, 1), (22, 1), (53, 1), (117, 3), (173, 1), (226, 1), (232, 1), (295, 1), (498, 1), (1670, 1), (2490, 1), (4794, 1), (6604, 1), (6843, 1)], [(20, 1), (117, 1), (173, 1), (295, 1), (759, 1), (1904, 1), (2498, 1), (4779, 1), (6315, 1), (8508, 1)], [(20, 1), (23, 1), (54, 1), (58, 1), (117, 1), (173, 1), (792, 1), (970, 1), (1778, 1), (2490, 1), (4313, 1), (4624, 1), (4794, 1), (4797, 1)], [(20, 1), (45, 1), (117, 2), (173, 3), (548, 1), (759, 1), (2178, 1), (2490, 1), (2498, 1), (2694, 1), (2839, 1), (3638, 1), (4624, 1), (4779, 1), (4794, 1)], [(8, 1), (20, 1), (23, 1), (117, 1), (173, 1), (792, 1), (1778, 1), (2490, 1), (4794, 1)], [(19, 1), (20, 2), (50, 1), (96, 1), (99, 1), (117, 2), (172, 1), (173, 1), (897, 1), (1714, 1), (2013, 1), (2490, 1), (4179, 1), (4794, 1), (7295, 1), (8582, 1)], [(55, 1), (117, 1), (173, 1), (190, 1), (759, 1), (970, 1), (1714, 1), (2178, 1), (3270, 1), (5601, 1)], [(18, 1), (20, 1), (54, 1), (55, 1), (58, 2), (117, 1), (173, 1), (759, 1), (1714, 1), (1817, 1), (2440, 1), (2962, 1), (3638, 1), (7216, 1), (8508, 1)], [(7, 1), (8, 1), (18, 2), (20, 3), (25, 1), (55, 1), (99, 1), (334, 1), (459, 1), (645, 1), (1165, 1), (2694, 1), (3638, 1), (4169, 1), (7295, 1), (8508, 1)], [(8, 1), (22, 1), (23, 1), (58, 1), (117, 1), (122, 1), (232, 1), (531, 2), (1973, 2), (5528, 1)], [(8, 1), (20, 1), (4179, 1), (7295, 1), (8583, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 2), (50, 2), (51, 2), (53, 1), (58, 1), (65, 1), (71, 2), (90, 1), (256, 1), (295, 1), (334, 1), (342, 1), (353, 2), (359, 1), (459, 1), (645, 1), (1918, 1), (2593, 1), (3724, 1), (4179, 1), (6315, 1), (7295, 1), (8508, 1), (8584, 1), (8585, 1), (8586, 1), (8587, 1), (8588, 1), (8589, 1), (8590, 1)], [(7, 1), (8, 1), (20, 1), (22, 4), (23, 1), (25, 1), (30, 1), (45, 1), (96, 1), (99, 1), (108, 1), (117, 1), (268, 1), (273, 1), (414, 1), (581, 1), (626, 1), (759, 1), (1607, 2), (1865, 1), (2912, 1), (3270, 1), (4179, 1), (7295, 1), (8508, 1), (8591, 1), (8592, 1), (8593, 1), (8594, 1)], [(34, 1), (90, 1), (99, 1), (117, 1), (759, 1), (3613, 1), (4779, 1), (8552, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (37, 1), (50, 1), (52, 1), (53, 1), (63, 1), (90, 1), (173, 1), (428, 1), (448, 1), (661, 1), (708, 1), (903, 1), (1010, 1), (1068, 1), (3594, 1), (6399, 1)], [(22, 2), (23, 2), (25, 1), (31, 1), (54, 1), (247, 1), (328, 1), (777, 1), (1580, 1), (2163, 1), (3048, 1), (8595, 1)], [(20, 2), (50, 1), (90, 1), (96, 1), (99, 1), (342, 1), (346, 1), (946, 1), (1685, 1), (3679, 1), (7411, 1)], [(18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (50, 1), (58, 1), (64, 1), (117, 1), (506, 1), (675, 1), (759, 1), (813, 1), (1907, 1), (3034, 1), (4625, 1), (6671, 1), (8596, 1)], [(8, 1), (22, 1), (64, 1), (71, 2), (830, 1), (1053, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (58, 1), (117, 1), (232, 1), (301, 1), (353, 1), (506, 1), (645, 1), (4179, 1), (7411, 1)], [(20, 1), (34, 1), (53, 1), (117, 1), (295, 1), (328, 1), (467, 1), (710, 1), (777, 1), (1695, 1), (1714, 1), (2965, 1), (4286, 1), (6315, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (30, 1), (51, 1), (53, 2), (70, 1), (77, 1), (99, 1), (173, 1), (188, 1), (387, 1), (454, 1), (498, 1), (581, 1), (645, 1), (812, 1), (886, 1), (1685, 1), (2013, 1), (2490, 1), (7411, 1)], [(247, 1), (8581, 1)], [(90, 1), (117, 1), (173, 1), (232, 1), (596, 1), (1714, 1), (8597, 1)], [(1178, 1), (8598, 1)], [(20, 1), (64, 1), (65, 1), (247, 1), (328, 1), (706, 1), (1334, 1)], [(20, 1), (37, 1), (50, 1), (247, 1), (295, 1), (1670, 1), (2467, 1)], [(187, 1), (214, 1), (247, 1), (351, 1), (8599, 1)], [(18, 1), (20, 1), (30, 1), (34, 1), (108, 1), (247, 1), (269, 1), (295, 1), (324, 1), (778, 1), (869, 1), (1897, 1), (7688, 1)], [(20, 1), (32, 1), (50, 1), (64, 1), (90, 1), (99, 1), (342, 1), (596, 1), (1685, 1), (1714, 1), (7411, 1)], [(18, 1), (20, 1), (50, 1), (52, 1), (90, 1), (117, 1), (328, 1), (410, 1), (759, 1), (1714, 1), (1830, 1), (1901, 1), (2011, 1), (3121, 1), (6289, 1)], [(20, 1), (21, 1), (90, 1), (95, 1), (126, 1), (295, 1), (645, 1), (778, 1), (792, 1), (1714, 1), (2812, 1)], [(8, 1), (21, 1), (31, 1), (53, 1), (117, 1), (232, 1), (295, 1), (328, 1), (754, 1), (855, 1), (1670, 1), (1901, 1)], [(7, 1), (8, 1), (20, 1), (58, 1), (108, 1), (7363, 1), (7411, 1)], [(8, 1), (45, 1), (90, 2), (117, 1), (225, 1), (232, 1), (414, 1), (1505, 1), (1594, 1), (6315, 1)], [(20, 1), (22, 1), (66, 1), (173, 1), (185, 1), (301, 1), (697, 1), (3036, 1), (8600, 1)], [(1544, 1), (8601, 1)], [(8, 1), (8602, 1)], [(8, 1), (20, 1), (22, 1), (31, 1), (53, 1), (71, 1), (214, 1), (256, 1), (281, 1), (292, 1), (338, 1), (419, 2), (482, 1), (1041, 1), (1627, 1), (5547, 1), (8603, 1), (8604, 1), (8605, 1), (8606, 1), (8607, 1)], [(7, 1), (8, 1), (18, 2), (19, 5), (22, 2), (25, 1), (37, 1), (50, 3), (53, 5), (55, 1), (58, 1), (69, 1), (77, 1), (90, 1), (97, 1), (117, 1), (124, 1), (160, 1), (193, 1), (214, 1), (232, 1), (240, 1), (256, 1), (632, 2), (685, 1), (702, 1), (855, 1), (1196, 1), (1266, 1), (2270, 1), (2589, 1), (2660, 1), (3523, 1), (4778, 1), (5944, 1), (6129, 1), (6165, 1), (6344, 1), (6913, 1), (7436, 1), (8336, 1), (8608, 1), (8609, 1), (8610, 1), (8611, 1), (8612, 1), (8613, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (32, 1), (45, 1), (50, 1), (53, 1), (77, 1), (90, 1), (95, 1), (99, 1), (122, 1), (285, 1), (307, 1), (448, 1), (2140, 1), (2340, 1), (2883, 1), (8614, 1), (8615, 1), (8616, 1)], [(8, 1), (58, 1), (77, 1), (268, 1), (1742, 1), (2126, 1), (6484, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (50, 2), (53, 1), (77, 1), (226, 1), (375, 1), (527, 1), (1160, 1), (8617, 1), (8618, 1), (8619, 1)], [(8, 1), (19, 1), (25, 1), (53, 1), (96, 1), (172, 1), (310, 1), (454, 1), (1448, 1), (2932, 1), (8583, 1), (8620, 1)], [(8, 3), (20, 1), (50, 1), (64, 1), (77, 2), (90, 1), (97, 1), (126, 1), (215, 1), (289, 1), (293, 1), (467, 1), (962, 1), (1163, 1), (1165, 1), (1904, 1), (2490, 1), (6981, 1), (7200, 1), (8602, 1), (8621, 1), (8622, 1), (8623, 1)], [(8, 3), (10, 1), (19, 2), (20, 3), (25, 1), (31, 1), (50, 2), (53, 4), (58, 1), (64, 2), (77, 1), (82, 1), (94, 1), (95, 1), (107, 1), (122, 1), (126, 1), (185, 1), (215, 1), (399, 1), (428, 2), (459, 1), (467, 1), (480, 1), (782, 1), (1290, 1), (1580, 2), (2490, 1), (2582, 1), (4619, 1), (5322, 1), (5388, 1), (5544, 1), (6213, 1), (7574, 1), (8624, 1), (8625, 1), (8626, 1), (8627, 1), (8628, 1), (8629, 1), (8630, 1), (8631, 1), (8632, 1)], [(19, 1), (31, 1), (53, 1), (64, 1), (66, 1), (84, 1), (4652, 1), (8633, 1), (8634, 1), (8635, 1), (8636, 1)], [(50, 1), (53, 1), (64, 1), (66, 1), (84, 1), (6518, 1), (8628, 1), (8637, 1), (8638, 1), (8639, 1)], [(55, 1), (64, 1), (66, 1), (126, 1), (8640, 1), (8641, 1), (8642, 1)], [(19, 1), (64, 1), (66, 1), (206, 1), (256, 1), (434, 1), (2849, 1), (8643, 1), (8644, 1), (8645, 1), (8646, 1), (8647, 1)], [(8, 1), (20, 4), (25, 3), (50, 2), (53, 2), (95, 1), (334, 1), (834, 1), (886, 1), (2531, 1), (4789, 1), (8648, 1), (8649, 1), (8650, 1), (8651, 1), (8652, 1), (8653, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (31, 1), (50, 3), (53, 1), (55, 1), (71, 1), (111, 1), (187, 1), (196, 1), (214, 1), (293, 1), (328, 2), (448, 1), (884, 1), (1102, 1), (1642, 1), (1824, 1), (2564, 1), (3121, 1), (3506, 1), (3828, 1), (6044, 1), (6518, 1), (8654, 1)], [(8, 1), (20, 5), (25, 3), (31, 1), (50, 1), (51, 1), (53, 2), (95, 1), (111, 1), (172, 1), (193, 1), (214, 1), (323, 1), (334, 1), (600, 1), (829, 1), (884, 1), (1467, 1), (1708, 1), (2820, 1), (3121, 1), (4085, 1), (4806, 1)], [(8, 2), (18, 1), (22, 28), (24, 1), (25, 1), (50, 2), (53, 3), (777, 1), (1167, 1), (1357, 1), (1520, 1), (2418, 1), (2419, 1), (3990, 1), (4537, 1), (6762, 1), (8622, 1), (8625, 1), (8648, 2), (8649, 1), (8650, 1), (8655, 1), (8656, 1), (8657, 1), (8658, 1), (8659, 1), (8660, 1), (8661, 1), (8662, 1), (8663, 1), (8664, 2), (8665, 1), (8666, 1), (8667, 1), (8668, 1), (8669, 1), (8670, 1), (8671, 1), (8672, 1), (8673, 1), (8674, 1), (8675, 1), (8676, 1), (8677, 1), (8678, 1), (8679, 1), (8680, 1), (8681, 1)], [(8, 2), (611, 1), (8682, 1)], [(8, 1), (19, 1), (20, 1), (37, 1), (53, 1), (96, 1), (172, 1), (190, 1), (198, 1), (206, 1), (301, 1), (767, 1), (2196, 1), (3852, 1), (4806, 1), (8683, 1), (8684, 1), (8685, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 2), (31, 1), (40, 1), (50, 2), (53, 1), (54, 1), (91, 1), (95, 1), (185, 1), (187, 1), (216, 1), (256, 1), (269, 1), (672, 1), (726, 1), (834, 1), (920, 1), (1308, 1), (1578, 1), (2224, 1), (3319, 1), (3413, 1), (3506, 1), (7187, 1), (8673, 1), (8686, 1)], [(8, 1), (23, 1), (1898, 1), (1904, 1), (8622, 1)], [(8, 1), (20, 1), (50, 1), (53, 3), (65, 1), (77, 1), (95, 1), (111, 1), (173, 1), (454, 1), (970, 1), (1293, 1), (1549, 1), (1873, 1), (2669, 1), (4560, 1), (8687, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 2), (55, 1), (69, 1), (77, 1), (95, 2), (97, 1), (301, 1), (334, 1), (527, 2), (1293, 1), (1644, 1), (2490, 1), (5779, 1), (6213, 1), (6406, 1), (7555, 1), (8622, 1)], [(8, 1), (20, 1), (50, 1), (53, 3), (58, 1), (71, 1), (77, 1), (90, 1), (95, 1), (226, 1), (233, 1), (281, 1), (331, 1), (518, 1), (531, 1), (1293, 1), (5534, 1), (8688, 1)], [(7, 1), (8, 1), (36, 1), (50, 1), (53, 2), (77, 1), (82, 1), (161, 1), (187, 1), (260, 1), (880, 1), (4465, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 3), (31, 1), (37, 1), (45, 1), (50, 1), (53, 3), (65, 2), (76, 2), (95, 2), (97, 2), (111, 1), (174, 1), (185, 2), (197, 1), (217, 1), (225, 1), (256, 1), (361, 1), (448, 2), (609, 1), (626, 1), (697, 1), (897, 1), (1057, 1), (1269, 1), (1520, 1), (1702, 1), (1742, 1), (3041, 1), (3658, 1), (3986, 1), (4296, 1), (4556, 1), (6213, 1), (6373, 1), (6577, 1), (7399, 1), (8381, 1), (8689, 1), (8690, 1), (8691, 1), (8692, 1), (8693, 1), (8694, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (37, 1), (50, 2), (53, 5), (54, 1), (90, 1), (91, 1), (95, 1), (99, 1), (160, 1), (190, 1), (230, 1), (269, 1), (334, 1), (412, 1), (518, 1), (654, 1), (1241, 1), (1293, 1), (3763, 1), (7108, 1), (8610, 1), (8695, 1), (8696, 1), (8697, 1)], [(8, 1), (18, 1), (53, 1), (108, 1), (193, 1), (225, 1), (301, 1), (702, 1), (1342, 1), (1467, 1), (2344, 1), (8698, 1)], [(22, 1), (77, 1), (106, 1), (247, 1), (295, 1), (809, 1), (8699, 1), (8700, 1)], [(32, 1), (37, 1), (53, 2), (77, 1), (95, 2), (247, 1), (334, 1), (1115, 1), (1293, 1), (1932, 2), (2178, 1), (6213, 1), (8701, 1), (8702, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 3), (37, 1), (53, 4), (95, 1), (97, 1), (99, 1), (193, 2), (214, 1), (307, 1), (351, 1), (418, 1), (672, 1), (827, 1), (922, 1), (1308, 1), (1342, 1), (1642, 1), (2140, 1), (2764, 1), (2769, 1), (3173, 1), (6044, 1), (6104, 1), (6213, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 3), (31, 1), (65, 2), (95, 1), (117, 2), (214, 1), (232, 2), (355, 1), (395, 1), (450, 1), (600, 1), (1235, 1), (1342, 1), (2479, 2), (3342, 1), (6044, 1), (6217, 1), (6501, 1), (7884, 1), (8625, 1), (8661, 1), (8703, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (24, 1), (31, 1), (50, 1), (53, 1), (58, 2), (71, 1), (77, 2), (95, 1), (215, 1), (237, 1), (256, 1), (293, 1), (378, 1), (450, 1), (894, 1), (1102, 1), (1196, 1), (1348, 1), (2248, 1), (2988, 1), (3121, 1), (4081, 1), (5211, 1), (5386, 1), (6213, 1), (6820, 1), (6869, 1), (8693, 1), (8704, 1)], [(8, 1), (20, 4), (31, 1), (53, 1), (82, 1), (95, 1), (111, 1), (161, 1), (201, 1), (209, 1), (1571, 1), (1824, 1), (4556, 1), (6213, 1), (7990, 1), (8693, 1), (8705, 1)], [(8, 1), (20, 1), (37, 1), (45, 1), (77, 1), (187, 1), (208, 1), (415, 1), (505, 1), (531, 1), (767, 1), (3835, 1), (8706, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (31, 1), (37, 1), (50, 2), (53, 2), (71, 1), (108, 1), (187, 1), (269, 1), (346, 1), (448, 1), (504, 1), (531, 1), (813, 1), (1041, 1), (1308, 1), (1311, 1), (2126, 1), (2148, 1), (2760, 1), (3727, 1), (4296, 1), (4839, 1), (5219, 1), (7757, 1), (8617, 1), (8707, 1), (8708, 1), (8709, 1), (8710, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (31, 1), (75, 1), (88, 1), (178, 1), (185, 1), (209, 1), (229, 1), (268, 1), (645, 1), (1196, 1), (1296, 1), (1580, 1), (2226, 1), (4673, 1), (5246, 1), (8711, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (71, 2), (90, 1), (108, 1), (161, 1), (203, 1), (387, 1), (452, 1), (527, 1), (896, 1), (1765, 1), (1877, 1), (2197, 1), (2693, 1), (4556, 2), (8712, 1), (8713, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (21, 2), (23, 1), (31, 1), (50, 2), (53, 1), (82, 1), (111, 1), (161, 1), (185, 1), (193, 1), (202, 1), (289, 1), (292, 1), (1311, 1), (2148, 1), (2184, 1), (2988, 2), (3173, 1), (8245, 1), (8714, 1)], [(8, 1), (18, 1), (19, 1), (50, 2), (53, 1), (77, 1), (196, 1), (226, 1), (1193, 1), (1449, 1), (3116, 1), (6904, 1), (8715, 1), (8716, 1)], [(8, 1), (20, 1), (23, 1), (53, 2), (82, 1), (242, 1), (4452, 1), (8717, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (31, 1), (53, 1), (58, 2), (65, 2), (77, 2), (79, 1), (268, 1), (301, 1), (621, 1), (947, 1), (966, 1), (6484, 1), (8075, 1), (8718, 1), (8719, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (50, 2), (53, 4), (56, 1), (77, 1), (91, 1), (117, 1), (172, 1), (185, 1), (232, 1), (269, 1), (310, 1), (337, 1), (365, 1), (387, 1), (399, 1), (428, 1), (452, 1), (553, 1), (865, 1), (1354, 1), (2795, 1), (4370, 1), (5533, 1), (8720, 1), (8721, 1), (8722, 1)], [(19, 1), (23, 2), (50, 1), (53, 1), (90, 1), (185, 1), (242, 1), (247, 1), (596, 1), (743, 1), (2660, 1), (5176, 1), (8723, 1), (8724, 1)], [(8, 1), (24, 1), (31, 1), (240, 1), (499, 1), (506, 1), (601, 1), (3741, 1), (5122, 1), (8725, 1)], [(10, 1), (11, 1), (18, 1), (53, 1), (55, 1), (64, 1), (173, 1), (245, 1), (885, 1), (1714, 1), (2660, 1), (8726, 1), (8727, 1)], [(30, 1), (50, 1), (53, 1), (77, 1), (247, 1), (1823, 1), (3701, 1), (8728, 1)], [(8, 1), (19, 1), (22, 3), (23, 4), (25, 2), (31, 1), (55, 2), (92, 2), (172, 2), (187, 1), (190, 1), (206, 1), (242, 1), (301, 1), (347, 1), (815, 1), (1100, 1), (1354, 1), (1685, 1), (1886, 1), (2228, 1), (2605, 1), (2681, 1), (8729, 1)], [(8, 1), (19, 1), (214, 1), (351, 1), (448, 1), (2859, 1), (6965, 1)], [(7, 1), (8, 1), (18, 3), (20, 2), (24, 1), (31, 2), (50, 2), (53, 2), (58, 1), (71, 1), (74, 1), (77, 1), (90, 1), (95, 1), (185, 1), (392, 1), (448, 1), (452, 1), (490, 1), (1287, 1), (1702, 1), (2666, 1), (3528, 1), (4121, 1), (4412, 1), (7211, 1), (7375, 1), (8602, 1), (8654, 1), (8730, 1), (8731, 1), (8732, 1), (8733, 1)], [(8, 2), (20, 3), (23, 1), (45, 1), (50, 1), (53, 2), (64, 1), (66, 1), (74, 1), (109, 1), (126, 1), (187, 1), (359, 1), (467, 1), (1873, 1), (7497, 1), (8669, 1), (8734, 1), (8735, 1), (8736, 1), (8737, 1)], [(8, 1), (19, 1), (20, 5), (23, 1), (25, 2), (50, 2), (53, 4), (55, 1), (90, 1), (117, 1), (210, 1), (229, 1), (232, 1), (301, 1), (305, 1), (310, 1), (459, 1), (518, 1), (894, 1), (922, 1), (1011, 1), (1097, 1), (1140, 1), (1508, 1), (1580, 1), (1702, 1), (3034, 1), (5322, 1), (6075, 1), (6482, 1), (6518, 1), (8669, 1), (8738, 1), (8739, 1), (8740, 1)], [(20, 6), (24, 1), (25, 1), (29, 1), (50, 1), (53, 2), (64, 2), (66, 1), (97, 1), (109, 1), (172, 1), (173, 1), (187, 1), (215, 1), (281, 1), (282, 1), (285, 1), (392, 1), (450, 4), (1163, 1), (1549, 1), (1607, 1), (1797, 1), (1897, 1), (2514, 1), (2883, 1), (4652, 1), (4659, 1), (8669, 1), (8741, 1), (8742, 1), (8743, 1), (8744, 1), (8745, 1), (8746, 1), (8747, 1), (8748, 1), (8749, 1), (8750, 1), (8751, 1), (8752, 1), (8753, 1), (8754, 1), (8755, 1), (8756, 1), (8757, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 1), (25, 2), (31, 2), (37, 1), (50, 2), (53, 2), (90, 1), (185, 1), (253, 1), (311, 1), (459, 1), (526, 1), (711, 1), (753, 1), (1361, 1), (1488, 1), (1580, 1), (2258, 1), (2419, 1), (2479, 1), (2495, 1), (4698, 1), (5592, 1), (6255, 1), (8758, 1), (8759, 1), (8760, 1), (8761, 1), (8762, 1), (8763, 1)], [(8, 1), (459, 1), (711, 1), (5583, 1), (7092, 1), (8758, 1), (8764, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 1), (25, 1), (37, 1), (46, 1), (51, 1), (53, 2), (58, 1), (74, 1), (77, 1), (88, 1), (90, 2), (95, 1), (281, 1), (344, 1), (506, 1), (626, 1), (1868, 1), (2178, 1), (2571, 1), (2775, 1), (3633, 1), (5054, 1), (8765, 1), (8766, 1)], [(8, 1), (20, 2), (31, 1), (53, 2), (74, 1), (77, 1), (95, 1), (96, 1), (106, 1), (109, 1), (387, 1), (415, 1), (877, 1), (1287, 1), (1747, 1), (3134, 1), (5566, 1), (8767, 1), (8768, 1), (8769, 1)], [(8, 1), (20, 1), (99, 1), (225, 1), (834, 1), (4737, 1), (5942, 1), (8669, 1), (8770, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (31, 1), (37, 1), (74, 1), (206, 1), (214, 2), (282, 1), (301, 1), (392, 1), (415, 1), (489, 1), (711, 1), (1021, 1), (1897, 1), (2102, 1), (2275, 1), (8771, 1), (8772, 1)], [(7, 1), (19, 2), (20, 2), (30, 1), (37, 1), (45, 1), (53, 1), (95, 1), (108, 1), (215, 1), (288, 1), (292, 1), (293, 1), (392, 1), (419, 1), (702, 1), (1342, 1), (1714, 1), (4872, 1), (5562, 1), (8773, 1), (8774, 1), (8775, 1), (8776, 1)], [(8, 1), (18, 1), (20, 2), (71, 1), (77, 1), (95, 1), (126, 2), (553, 1), (897, 1), (1192, 1), (1485, 1), (8777, 1), (8778, 1), (8779, 1), (8780, 1)], [(8, 1), (30, 1), (99, 1), (172, 1), (351, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (77, 1), (90, 1), (1261, 1), (1780, 1), (2387, 1), (4857, 1), (8781, 1), (8782, 1)], [(8, 1), (18, 2), (20, 2), (53, 1), (74, 1), (77, 2), (82, 1), (95, 1), (126, 1), (173, 1), (256, 1), (289, 1), (516, 1), (676, 1), (1877, 1), (8783, 1), (8784, 2)], [(8, 1), (20, 1), (50, 1), (53, 3), (55, 1), (77, 1), (124, 1), (215, 1), (301, 1), (763, 1), (1702, 1), (2344, 1), (6197, 1), (7101, 1), (8781, 1), (8785, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (37, 1), (53, 1), (65, 2), (74, 1), (82, 1), (90, 1), (111, 1), (161, 1), (172, 2), (186, 1), (203, 1), (256, 1), (269, 1), (310, 1), (623, 1), (1708, 1), (3434, 1), (5432, 1), (8786, 1), (8787, 1), (8788, 1)], [(8, 1), (18, 1), (20, 3), (53, 1), (58, 1), (71, 1), (74, 1), (399, 1), (623, 1), (830, 1), (1102, 1), (1138, 1), (2700, 1), (5378, 1), (7533, 1), (8071, 1), (8789, 1), (8790, 1), (8791, 1)], [(7, 2), (8, 1), (18, 1), (20, 3), (22, 1), (23, 1), (50, 1), (53, 5), (55, 2), (58, 1), (74, 1), (75, 1), (77, 1), (95, 2), (96, 1), (109, 1), (161, 2), (215, 1), (268, 1), (365, 1), (414, 1), (415, 1), (454, 1), (639, 1), (767, 1), (794, 1), (1310, 1), (1685, 1), (1911, 1), (3804, 1), (4465, 1), (4694, 2), (5828, 1), (6380, 1), (8610, 1), (8781, 1), (8792, 1), (8793, 1), (8794, 1), (8795, 1), (8796, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (37, 1), (50, 1), (53, 1), (65, 1), (71, 1), (74, 1), (185, 1), (203, 1), (1138, 1), (3030, 1), (4091, 1), (4357, 1), (5054, 1), (5526, 1), (7742, 1), (8602, 1), (8791, 1), (8797, 1)], [(8, 1), (20, 2), (50, 1), (53, 2), (95, 1), (346, 1), (702, 1), (897, 1), (1130, 1), (3700, 1), (8798, 1), (8799, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (23, 1), (25, 2), (50, 2), (53, 4), (65, 2), (74, 3), (90, 1), (187, 1), (214, 1), (228, 1), (242, 1), (310, 1), (399, 1), (1342, 1), (1361, 1), (4296, 1), (4357, 1), (6536, 1), (7742, 1), (8645, 1), (8800, 1), (8801, 1), (8802, 1), (8803, 1), (8804, 1), (8805, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (23, 1), (25, 3), (31, 1), (50, 2), (53, 2), (55, 1), (65, 1), (74, 1), (82, 1), (91, 1), (172, 1), (187, 1), (206, 1), (214, 1), (215, 3), (301, 1), (414, 1), (450, 2), (711, 1), (753, 1), (875, 1), (1613, 1), (1685, 1), (1888, 1), (2139, 1), (3101, 1), (4081, 1), (6053, 1), (6893, 1), (7380, 1), (8602, 1), (8806, 1), (8807, 1), (8808, 1), (8809, 1), (8810, 1), (8811, 1), (8812, 1), (8813, 1), (8814, 1)], [(8, 1), (10, 1), (19, 1), (20, 1), (23, 1), (25, 2), (37, 1), (53, 1), (91, 1), (187, 1), (206, 1), (292, 1), (392, 1), (428, 2), (782, 1), (829, 1), (876, 1), (1248, 1), (2479, 1), (3121, 1), (3528, 1), (8815, 1), (8816, 1), (8817, 1), (8818, 1), (8819, 1), (8820, 1), (8821, 1)], [(8, 1), (23, 1)], [(8, 1), (22, 1), (101, 1), (439, 1), (8822, 1), (8823, 1)], [(8, 1), (22, 1), (53, 1), (101, 1), (8824, 1), (8825, 1)], [(8, 1), (53, 1), (101, 1), (8826, 1)], [(8, 1), (20, 2), (22, 2), (23, 1), (50, 3), (53, 7), (101, 1), (209, 1), (1207, 1), (4296, 1), (8822, 1), (8825, 1), (8826, 1), (8827, 1), (8828, 1), (8829, 1)], [(8, 1), (8830, 1)], [(8, 1), (23, 2), (53, 1), (206, 1), (226, 1), (421, 1), (2224, 1), (2418, 1), (4637, 1), (8831, 1)], [(8, 1), (22, 1), (24, 1), (101, 1), (1207, 1), (8823, 1)], [(8, 1), (22, 1), (53, 1), (101, 1), (8824, 1), (8832, 1)], [(8, 1), (22, 1), (53, 1), (65, 1), (101, 1), (8833, 1), (8834, 1), (8835, 1)], [(8, 2), (22, 2), (53, 2), (65, 2), (101, 2), (615, 1), (8833, 1), (8836, 1), (8837, 1), (8838, 1), (8839, 1)], [(8, 1), (53, 1), (65, 1), (101, 1), (8840, 1), (8841, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (23, 1), (782, 1), (1544, 1), (8822, 1)], [(8, 1), (10, 1), (20, 6), (25, 4), (46, 1), (50, 4), (51, 1), (53, 10), (77, 1), (95, 4), (101, 1), (106, 1), (215, 1), (399, 1), (1207, 1), (1235, 1), (1292, 1), (4296, 1), (6160, 1), (6161, 1), (8843, 1), (8844, 1), (8845, 1), (8846, 1), (8847, 1), (8848, 1), (8849, 1), (8850, 1), (8851, 1), (8852, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 4), (25, 1), (31, 2), (36, 1), (37, 1), (50, 2), (53, 6), (77, 2), (90, 1), (97, 1), (109, 1), (173, 1), (187, 1), (238, 2), (407, 3), (597, 1), (654, 1), (827, 1), (880, 1), (1303, 1), (1308, 1), (1348, 1), (1648, 1), (3804, 1), (4163, 1), (4402, 1), (5065, 1), (5878, 1), (5947, 1), (7395, 1), (7586, 1), (8062, 1), (8853, 1)], [(8, 1), (20, 2), (31, 1), (45, 1), (71, 1), (190, 1), (228, 1), (281, 1), (415, 1), (2849, 1), (3537, 1), (4020, 1), (8854, 1)], [(8, 1), (19, 1), (23, 1), (32, 1), (45, 1), (55, 1), (77, 1), (81, 1), (90, 1), (122, 1), (172, 1), (1685, 1), (5159, 1)], [(8, 1), (20, 1), (58, 1), (77, 1), (3294, 1), (6727, 1), (8855, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (31, 3), (45, 2), (46, 1), (53, 4), (54, 3), (55, 1), (58, 1), (69, 1), (71, 1), (74, 1), (95, 1), (109, 2), (111, 1), (215, 1), (229, 1), (269, 1), (285, 1), (412, 1), (420, 2), (537, 1), (756, 1), (757, 1), (834, 1), (896, 1), (897, 1), (959, 1), (1157, 1), (1166, 1), (1253, 1), (1293, 1), (1308, 1), (1470, 1), (2593, 1), (3041, 1), (3387, 1), (3804, 1), (3923, 1), (4163, 1), (4347, 1), (5236, 1), (8302, 1), (8853, 1), (8856, 1), (8857, 1), (8858, 1)], [(8, 1), (20, 1), (50, 2), (53, 4), (54, 2), (90, 2), (97, 1), (98, 1), (122, 1), (185, 1), (441, 1), (756, 1), (763, 1), (922, 1), (1293, 1), (2151, 1), (4163, 1), (8024, 1), (8859, 1), (8860, 1), (8861, 1), (8862, 1)], [(8, 1), (20, 4), (25, 1), (54, 1), (82, 1), (108, 1), (215, 1), (256, 1), (359, 1), (441, 1), (531, 1), (827, 1), (834, 1), (1308, 1), (2365, 1), (2744, 1), (2839, 1), (3901, 1), (3919, 1), (4163, 1), (8863, 1), (8864, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (54, 1), (71, 1), (99, 1), (109, 1), (122, 1), (215, 1), (347, 1), (531, 1), (1308, 1), (1846, 1), (8865, 1), (8866, 1), (8867, 1), (8868, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (23, 1), (31, 1), (46, 1), (50, 3), (53, 3), (54, 1), (81, 1), (94, 1), (215, 1), (268, 1), (293, 1), (451, 1), (597, 1), (723, 1), (1041, 3), (1342, 1), (1702, 1), (2248, 1), (2266, 1), (3013, 1), (3416, 1), (4163, 1), (4366, 1), (5913, 1), (8154, 1), (8869, 1), (8870, 1), (8871, 1), (8872, 1), (8873, 1)], [(8, 1), (19, 1), (53, 2), (54, 1), (71, 1), (95, 1), (97, 1), (109, 1), (172, 1), (185, 1), (193, 1), (203, 1), (281, 1), (293, 1), (331, 1), (702, 1), (2055, 1), (2344, 1), (4163, 1), (8857, 1), (8874, 1), (8875, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8822, 1), (8823, 1)], [(7, 1), (8, 1), (10, 1), (20, 1), (50, 1), (53, 3), (77, 1), (101, 1), (185, 1), (269, 2), (359, 1), (407, 1), (645, 1), (763, 1), (827, 1), (877, 1), (3835, 1), (4417, 1), (5224, 1), (8053, 1), (8832, 1), (8843, 1)], [(8, 1), (22, 1), (25, 1), (31, 1), (46, 2), (53, 2), (64, 1), (95, 1), (111, 1), (122, 1), (215, 2), (531, 1), (537, 2), (789, 1), (1040, 1), (1163, 1), (1648, 1), (7186, 2), (7191, 1), (8876, 1), (8877, 1), (8878, 1)], [(7, 1), (8, 1), (20, 1), (22, 5), (24, 1), (37, 1), (53, 7), (77, 1), (173, 1), (392, 1), (421, 1), (756, 6), (940, 1), (1166, 1), (1293, 1), (1294, 1), (2224, 1), (2394, 1), (7699, 1), (8879, 1), (8880, 1), (8881, 1)], [(8, 1), (18, 1), (50, 2), (53, 2), (77, 1), (351, 1), (738, 1), (1311, 1), (1820, 1), (3330, 1), (5109, 1), (5410, 1), (8882, 1), (8883, 1)], [(20, 1), (23, 1), (31, 1), (50, 1), (53, 2), (77, 1), (95, 1), (97, 1), (596, 1), (897, 1), (1311, 1), (1580, 1), (1714, 1), (2077, 1), (8831, 1), (8884, 1)], [(8, 1), (22, 3), (50, 4), (53, 8), (77, 1), (122, 1), (756, 1), (1235, 2), (1293, 1), (1471, 2), (6160, 1), (7699, 1), (8645, 1), (8885, 1), (8886, 1), (8887, 1), (8888, 1), (8889, 1), (8890, 1)], [(7, 2), (8, 1), (20, 4), (22, 1), (25, 2), (31, 2), (50, 1), (53, 9), (56, 1), (58, 1), (77, 2), (91, 1), (95, 2), (97, 2), (108, 1), (117, 1), (122, 1), (124, 1), (172, 1), (174, 1), (217, 1), (225, 1), (394, 1), (414, 2), (415, 1), (418, 1), (518, 1), (583, 1), (756, 1), (833, 1), (940, 1), (1166, 1), (1235, 1), (1384, 1), (1441, 1), (1457, 1), (1517, 1), (2137, 1), (2148, 1), (3043, 1), (3763, 1), (3835, 1), (4347, 1), (8074, 1), (8879, 1), (8891, 1), (8892, 1), (8893, 1), (8894, 1), (8895, 1)], [(8, 1), (18, 1), (19, 1), (25, 1), (34, 1), (50, 2), (53, 4), (95, 2), (757, 1), (970, 1), (1235, 1), (1293, 1), (2036, 1), (2037, 1), (3173, 1), (8164, 1)], [(8, 1), (18, 2), (19, 1), (22, 1), (31, 1), (37, 1), (97, 1), (217, 1), (225, 1), (281, 1), (301, 1), (328, 1), (450, 1), (711, 1), (1130, 1), (1598, 1), (1824, 1), (1911, 1), (1917, 1), (2034, 1), (2139, 1), (2666, 1), (5054, 1), (6183, 1), (8327, 1), (8896, 1), (8897, 1)], [(7, 1), (8, 1), (20, 1), (50, 1), (53, 1), (77, 1), (90, 1), (122, 1), (281, 1), (293, 1), (407, 1), (448, 1), (2189, 1), (2663, 1), (2986, 1), (4435, 1), (6416, 1), (8708, 1), (8898, 1), (8899, 1), (8900, 1), (8901, 1), (8902, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (50, 1), (53, 1), (55, 1), (71, 1), (95, 2), (190, 1), (193, 1), (406, 1), (448, 1), (970, 1), (1495, 1), (3826, 1), (4875, 1), (6213, 1), (8903, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8822, 1), (8824, 1)], [(7, 2), (8, 1), (10, 1), (18, 1), (20, 5), (23, 1), (25, 2), (31, 2), (50, 1), (53, 4), (65, 5), (69, 1), (77, 2), (95, 1), (97, 1), (182, 1), (185, 1), (197, 1), (217, 1), (225, 1), (246, 1), (293, 1), (365, 1), (381, 1), (706, 1), (920, 1), (1116, 1), (1807, 1), (1912, 1), (1999, 1), (2148, 1), (2227, 1), (2428, 1), (3756, 1), (3974, 1), (4551, 1), (6161, 1), (7408, 1), (8650, 1), (8833, 1), (8834, 1), (8843, 1), (8876, 1), (8904, 1), (8905, 1), (8906, 1), (8907, 1), (8908, 1), (8909, 1), (8910, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (25, 2), (31, 1), (45, 1), (50, 1), (53, 3), (65, 1), (77, 1), (95, 1), (173, 1), (256, 1), (359, 1), (406, 1), (626, 1), (789, 1), (970, 1), (1074, 1), (1160, 1), (3941, 1), (7322, 1), (7807, 1), (8904, 1), (8911, 1), (8912, 1), (8913, 1), (8914, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (50, 1), (53, 1), (65, 1), (334, 1), (516, 1), (829, 1), (2100, 1), (2886, 1), (3000, 1), (4296, 1), (4432, 1), (4636, 1), (5051, 1), (5065, 1), (5914, 1), (8915, 1)], [(8, 1), (18, 1), (20, 3), (45, 1), (53, 1), (77, 1), (81, 1), (97, 1), (109, 1), (173, 1), (1130, 1), (1449, 1), (3000, 1), (3756, 1), (4514, 1), (7738, 1), (8916, 1), (8917, 1), (8918, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (50, 2), (53, 2), (55, 1), (77, 1), (106, 1), (109, 1), (111, 1), (174, 1), (404, 1), (448, 1), (452, 1), (531, 1), (626, 1), (704, 1), (1248, 1), (1596, 1), (1617, 1), (2467, 1), (2862, 1), (5682, 1), (6242, 1), (8918, 1), (8919, 1), (8920, 1), (8921, 1)], [(8, 1), (20, 3), (50, 1), (53, 3), (71, 2), (82, 1), (109, 1), (182, 1), (185, 1), (190, 1), (193, 1), (415, 1), (504, 1), (602, 1), (1596, 1), (2681, 1), (2744, 1), (3457, 1), (3804, 1), (3999, 1), (4544, 1), (8918, 1), (8922, 1), (8923, 1)], [(8, 1), (18, 1), (20, 4), (25, 4), (53, 3), (55, 2), (58, 3), (65, 2), (71, 1), (77, 1), (90, 1), (185, 1), (186, 1), (240, 1), (281, 1), (365, 1), (414, 1), (516, 1), (580, 1), (830, 1), (896, 1), (1041, 1), (1600, 1), (2361, 1), (2601, 1), (2615, 1), (2756, 1), (2774, 1), (2983, 1), (3013, 1), (3478, 1), (3800, 1), (3947, 1), (4914, 1), (5247, 1), (8914, 1), (8918, 1), (8923, 1), (8924, 1), (8925, 1), (8926, 1), (8927, 1), (8928, 1), (8929, 1), (8930, 1), (8931, 1)], [(8, 1), (53, 1), (65, 1), (90, 1), (378, 1), (626, 1), (1549, 1), (3756, 1), (4401, 1), (8924, 1), (8932, 1)], [(8, 1), (24, 1), (65, 1), (77, 1), (82, 1), (7408, 1), (8904, 1), (8933, 1)], [(8, 1), (18, 1), (20, 1), (36, 1), (65, 2), (95, 1), (214, 1), (215, 1), (448, 1), (600, 1), (645, 1), (675, 1), (8934, 1), (8935, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 5), (25, 4), (31, 2), (37, 1), (45, 4), (50, 1), (53, 3), (55, 1), (90, 1), (108, 1), (109, 1), (185, 1), (215, 1), (281, 2), (407, 1), (516, 1), (548, 1), (626, 1), (645, 1), (675, 1), (679, 1), (744, 1), (1026, 1), (1509, 1), (1720, 1), (1764, 1), (2029, 1), (2034, 1), (2428, 1), (2434, 1), (2655, 1), (2660, 1), (2764, 1), (2812, 1), (3800, 1), (3978, 1), (4143, 1), (4180, 1), (4296, 1), (4619, 1), (4652, 1), (4903, 1), (5204, 1), (5455, 1), (5816, 1), (6983, 2), (8363, 1), (8741, 1), (8923, 1), (8936, 1), (8937, 1), (8938, 1), (8939, 1), (8940, 1), (8941, 1), (8942, 1)], [(8, 1), (18, 1), (20, 4), (31, 1), (45, 1), (53, 3), (55, 2), (65, 1), (77, 2), (90, 1), (95, 1), (187, 1), (275, 1), (382, 1), (399, 1), (789, 2), (970, 1), (1311, 1), (1498, 1), (4357, 1), (4549, 1), (7408, 1), (8904, 1), (8943, 1), (8944, 1), (8945, 1), (8946, 1)], [(8, 1), (19, 1), (20, 4), (46, 1), (50, 1), (71, 1), (72, 1), (97, 1), (187, 1), (201, 1), (206, 1), (214, 1), (285, 1), (293, 1), (328, 1), (407, 1), (884, 1), (1470, 1), (3319, 1), (3726, 1), (8947, 1), (8948, 1)], [(8, 1), (18, 1), (20, 1), (22, 3), (25, 2), (53, 1), (65, 3), (108, 1), (117, 1), (187, 6), (214, 1), (232, 1), (920, 1), (940, 1), (1487, 1), (1520, 1), (3796, 1), (4463, 1), (6913, 1), (8949, 1), (8950, 1), (8951, 1), (8952, 1), (8953, 1), (8954, 1)], [(8, 1), (18, 3), (19, 4), (20, 9), (22, 1), (31, 3), (45, 2), (50, 5), (53, 3), (55, 1), (58, 2), (64, 1), (71, 1), (77, 2), (90, 2), (95, 1), (97, 1), (108, 1), (111, 4), (160, 1), (161, 1), (185, 1), (187, 2), (201, 1), (210, 1), (281, 1), (300, 1), (334, 1), (359, 1), (415, 1), (448, 1), (449, 1), (452, 1), (744, 1), (788, 1), (789, 1), (795, 1), (830, 1), (833, 1), (834, 1), (919, 1), (974, 1), (1163, 1), (1275, 1), (1296, 1), (1470, 1), (1483, 1), (1823, 1), (1824, 1), (2137, 1), (2732, 1), (2769, 1), (3478, 1), (5384, 1), (6183, 1), (6538, 1), (6896, 1), (6967, 1), (7102, 1), (7820, 1), (8602, 1), (8617, 1), (8918, 1), (8947, 1), (8955, 1), (8956, 1), (8957, 1), (8958, 1), (8959, 1), (8960, 1), (8961, 1), (8962, 1), (8963, 1), (8964, 1)], [(897, 1), (1347, 1), (1714, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (24, 1), (25, 2), (31, 1), (37, 1), (50, 2), (53, 1), (65, 1), (71, 1), (96, 1), (124, 1), (161, 1), (187, 1), (206, 1), (214, 2), (246, 1), (399, 1), (415, 1), (449, 1), (450, 1), (487, 1), (626, 1), (654, 1), (723, 1), (789, 1), (830, 1), (2732, 1), (4020, 1), (6913, 1), (7795, 1), (8880, 1), (8918, 1), (8965, 1), (8966, 1), (8967, 1), (8968, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (53, 3), (95, 2), (225, 1), (256, 1), (328, 1), (1129, 1), (2732, 1), (4789, 1), (6213, 1), (8969, 1), (8970, 1), (8971, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (50, 1), (53, 2), (95, 2), (185, 1), (206, 1), (225, 1), (256, 1), (328, 1), (789, 1), (922, 1), (1129, 1), (1293, 1), (1458, 1), (2157, 1), (8969, 1), (8970, 1), (8971, 1)], [(8, 1), (53, 2), (55, 1), (58, 1), (77, 1), (331, 1), (415, 1), (767, 1), (922, 1), (1731, 1), (2137, 1), (4059, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (31, 1), (37, 1), (50, 3), (53, 1), (91, 1), (111, 1), (161, 1), (187, 1), (195, 1), (215, 1), (269, 1), (281, 1), (359, 1), (531, 1), (711, 1), (744, 3), (1080, 1), (1269, 1), (1909, 1), (2100, 1), (2148, 1), (4502, 1), (6913, 1), (8937, 1), (8955, 1), (8957, 1), (8972, 1), (8973, 2), (8974, 1)], [(8, 1), (50, 1), (53, 1), (65, 1), (95, 1), (185, 1), (197, 1), (225, 1), (269, 1), (895, 1), (1549, 1), (7688, 1), (8645, 1)], [(8, 1), (19, 1), (20, 4), (21, 1), (31, 2), (45, 1), (50, 1), (53, 3), (58, 1), (71, 2), (90, 1), (95, 1), (193, 1), (202, 1), (292, 1), (301, 1), (328, 1), (419, 1), (830, 1), (970, 1), (1463, 1), (1733, 1), (2137, 1), (6650, 1), (8214, 1), (8617, 1), (8652, 1), (8769, 1)], [(20, 2), (22, 1), (31, 1), (45, 1), (53, 1), (77, 1), (95, 1), (96, 1), (108, 1), (117, 1), (124, 1), (232, 1), (328, 1), (387, 1), (789, 1), (833, 1), (1293, 1), (1395, 1), (1714, 1), (3755, 1), (8652, 1), (8975, 1)], [(7, 1), (8, 1), (19, 1), (45, 1), (53, 1), (58, 1), (77, 1), (90, 1), (95, 1), (172, 1), (182, 1), (419, 1), (789, 1), (1293, 1), (1475, 1), (1742, 1), (8976, 1), (8977, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (50, 1), (53, 3), (82, 1), (99, 2), (169, 1), (190, 1), (215, 2), (328, 1), (331, 1), (428, 1), (504, 1), (834, 1), (1596, 1), (2148, 1), (2149, 1), (2222, 1), (3149, 1), (4856, 1), (5179, 1), (8053, 1), (8084, 1), (8958, 1), (8978, 1), (8979, 1), (8980, 1), (8981, 1)], [(596, 1), (897, 1), (1714, 1), (7375, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (88, 1), (90, 1), (91, 1), (187, 1), (256, 1), (450, 1), (527, 1), (697, 1), (813, 1), (1867, 1), (3700, 1), (5384, 1), (5547, 1), (6516, 1), (7502, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (53, 2), (58, 2), (70, 1), (77, 3), (90, 1), (108, 1), (185, 1), (226, 1), (269, 1), (331, 1), (581, 1), (1308, 1), (1733, 1), (6104, 1), (8964, 1), (8982, 1), (8983, 1), (8984, 1)], [(8, 1), (553, 1), (741, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (11, 1), (1544, 1), (8822, 1), (8835, 1)], [(8, 1), (10, 1), (53, 1), (65, 1), (77, 1), (95, 1), (106, 1), (182, 1), (414, 1), (791, 1), (1517, 1), (2532, 1), (3756, 1), (8833, 1), (8837, 1), (8843, 1)], [(8, 1), (20, 1), (25, 1), (36, 1), (217, 1), (225, 1), (328, 1), (428, 1), (764, 1), (4272, 1), (5833, 1), (6091, 1)], [(8, 1), (18, 2), (22, 1), (25, 1), (30, 2), (36, 1), (53, 1), (95, 1), (99, 1), (111, 1), (225, 1), (334, 1), (414, 1), (516, 1), (601, 1), (3381, 1), (3633, 1), (8985, 1), (8986, 1), (8987, 1)], [(8, 1), (18, 2), (20, 2), (30, 2), (53, 2), (81, 1), (82, 1), (95, 1), (108, 1), (161, 1), (225, 1), (269, 1), (441, 1), (605, 1), (1102, 1), (1747, 1), (2359, 1), (2732, 1), (2914, 1), (4416, 1), (5219, 1), (6213, 1), (8797, 1), (8988, 1)], [(8, 1), (77, 1), (82, 1), (238, 1), (452, 1), (537, 1), (3000, 1)], [(8, 1), (36, 1), (225, 1), (789, 1)], [(8, 1), (20, 1), (25, 2), (36, 1), (37, 1), (42, 1), (50, 2), (53, 2), (65, 1), (77, 1), (91, 1), (124, 1), (161, 1), (187, 1), (222, 1), (316, 1), (407, 1), (415, 1), (427, 1), (680, 1), (778, 1), (833, 1), (2365, 1), (4755, 1), (6489, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (615, 1), (782, 1), (1544, 1), (8822, 1)], [(8, 1), (10, 1), (45, 1), (46, 1), (65, 1), (77, 1), (81, 1), (95, 1), (185, 1), (256, 1), (884, 1), (3319, 1), (8833, 1), (8838, 1), (8843, 1)], [(8, 1), (18, 1), (23, 1), (30, 1), (172, 1), (182, 1), (193, 1), (708, 1), (1245, 1), (2206, 1), (2207, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (173, 1), (723, 1), (2479, 1), (3319, 1), (5260, 1), (5910, 1), (6481, 1), (8989, 1)], [(8, 1), (18, 1), (20, 2), (30, 1), (31, 1), (45, 1), (50, 1), (97, 1), (161, 1), (173, 1), (174, 1), (225, 1), (256, 1), (268, 1), (626, 1), (812, 1), (1596, 1), (1824, 1), (2117, 1), (2467, 1), (3459, 1), (5043, 1), (8990, 1), (8991, 1)], [(8, 1), (30, 1), (287, 1), (496, 1)], [(8, 1), (20, 1), (23, 1), (30, 1), (50, 1), (124, 1), (884, 1), (1747, 1), (1911, 1), (2016, 1), (3034, 1), (3044, 1)], [(8, 1), (23, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8822, 1), (8839, 1)], [(7, 1), (8, 1), (10, 1), (18, 1), (20, 2), (31, 1), (45, 1), (50, 1), (53, 1), (55, 1), (65, 1), (448, 1), (769, 1), (879, 1), (2543, 1), (3083, 1), (3889, 1), (4763, 1), (5612, 1), (6481, 1), (8840, 1), (8841, 1), (8843, 1), (8992, 1), (8993, 1), (8994, 1), (8995, 1), (8996, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (30, 1), (31, 1), (36, 1), (45, 1), (53, 1), (77, 1), (172, 1), (182, 2), (193, 2), (202, 1), (278, 1), (334, 1), (518, 1), (812, 1), (832, 1), (897, 1), (908, 1), (1245, 1), (2029, 1), (2586, 1), (4289, 1), (5409, 1), (8997, 1)], [(8, 1), (22, 1), (36, 1), (50, 1), (55, 1), (65, 1), (77, 1), (173, 1), (285, 1), (742, 1), (812, 1), (1239, 1), (1324, 1), (1540, 1), (6205, 1), (8998, 1)], [(8, 1), (30, 1), (50, 1), (214, 1), (772, 1), (8999, 1)], [(20, 1), (247, 1), (9000, 1), (9001, 1), (9002, 1)], [(8, 1), (20, 1), (23, 1), (50, 1), (53, 1), (77, 1), (90, 1), (94, 1), (124, 1), (273, 1), (295, 1), (527, 1), (581, 2), (1911, 1), (5874, 1), (9003, 1)], [(8, 1), (23, 1), (4789, 1), (6248, 1), (8842, 1)], [(8, 1), (10, 1), (25, 1), (32, 1), (782, 1), (3882, 1), (8822, 1), (8823, 1), (8842, 1)], [(10, 1), (155, 1), (8825, 1)], [(8, 1), (9004, 1)], [(8, 1), (20, 1), (22, 4), (23, 1), (50, 1), (53, 6), (71, 1), (97, 1), (187, 1), (399, 1), (615, 1), (830, 1), (876, 1), (1456, 1), (1575, 1), (2418, 1), (4296, 1), (8777, 1), (8823, 1), (8824, 1), (8827, 1), (8835, 1), (9005, 1), (9006, 5), (9007, 1), (9008, 1), (9009, 1), (9010, 1), (9011, 1), (9012, 1)], [(8, 1), (50, 1), (53, 1), (77, 2), (82, 1), (164, 1), (185, 1), (187, 1), (452, 1), (1845, 1), (2655, 1), (7742, 1), (8945, 1), (9013, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (31, 2), (50, 3), (53, 6), (82, 1), (91, 1), (117, 1), (185, 1), (187, 1), (232, 1), (256, 1), (422, 1), (833, 1), (834, 1), (902, 2), (1041, 1), (1080, 1), (1102, 1), (1529, 1), (1747, 2), (1824, 1), (2474, 1), (3652, 1), (4542, 1), (4699, 1), (6242, 1), (6386, 1), (6516, 3), (8797, 1), (9013, 1), (9014, 1), (9015, 1), (9016, 1), (9017, 1), (9018, 1), (9019, 1)], [(8, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (23, 1), (782, 1), (1544, 1), (8825, 1)], [(8, 1), (10, 1), (18, 2), (19, 1), (20, 5), (46, 1), (50, 1), (53, 1), (74, 1), (77, 2), (82, 1), (111, 1), (173, 1), (185, 1), (187, 1), (225, 1), (240, 1), (246, 1), (293, 1), (338, 1), (399, 1), (1708, 1), (1824, 1), (1964, 1), (2117, 1), (2390, 1), (3295, 1), (3364, 1), (4363, 1), (8302, 1), (8827, 1), (8843, 1), (9020, 1), (9021, 1), (9022, 1), (9023, 1)], [(8, 1), (20, 1), (30, 1), (37, 1), (50, 1), (53, 2), (108, 1), (172, 1), (269, 1), (301, 1), (407, 1), (1130, 1), (1309, 1), (2660, 1), (6183, 1), (8645, 1), (9024, 1), (9025, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (36, 1), (50, 2), (53, 1), (65, 1), (77, 1), (109, 1), (406, 1), (424, 1), (704, 1), (1022, 1), (1122, 1), (2872, 1), (5257, 1), (5314, 1), (9026, 1), (9027, 1), (9028, 1), (9029, 1), (9030, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 2), (36, 1), (45, 1), (77, 2), (108, 1), (173, 1), (537, 1), (538, 1), (677, 1), (812, 1), (1102, 1), (1172, 1), (1937, 1), (2178, 1), (2365, 1), (3835, 1), (5224, 1), (5917, 1)], [(8, 1), (45, 1), (50, 2), (53, 2), (77, 1), (95, 1), (215, 1), (334, 1), (448, 1), (639, 1), (911, 1), (940, 1), (1310, 1), (6213, 1), (7506, 1), (9031, 1)], [(8, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8823, 1), (8825, 1)], [(8, 1), (10, 1), (20, 1), (23, 1), (37, 1), (53, 2), (74, 1), (108, 2), (117, 1), (206, 1), (214, 1), (222, 1), (232, 1), (454, 1), (691, 1), (711, 1), (920, 1), (940, 1), (5219, 1), (8777, 1), (8843, 1), (9007, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (71, 1), (81, 1), (111, 1), (161, 1), (273, 1), (292, 1), (293, 1), (1323, 1), (2265, 1), (5960, 1), (6688, 1), (9032, 1), (9033, 1)], [(8, 1), (20, 3), (23, 1), (32, 1), (37, 1), (53, 2), (65, 1), (69, 1), (72, 1), (77, 1), (187, 1), (237, 1), (293, 2), (399, 1), (1685, 1), (1877, 1), (2308, 1), (2355, 1), (2394, 1), (7802, 1)], [(8, 1), (20, 2), (30, 1), (53, 1), (99, 1), (241, 1), (291, 1), (504, 1), (756, 1), (3633, 1), (9034, 1)], [(8, 1), (20, 2), (25, 1), (45, 2), (46, 1), (50, 1), (53, 2), (77, 1), (90, 1), (109, 1), (173, 1), (214, 1), (240, 1), (414, 1), (531, 1), (1494, 1), (1756, 1), (1991, 1), (2169, 1), (2886, 1), (2977, 1), (3000, 1), (3678, 1), (4479, 1), (7843, 1), (9035, 1), (9036, 1), (9037, 1)], [(8, 1), (31, 1), (95, 1), (106, 1), (111, 1), (406, 1), (448, 1), (704, 1), (3703, 1), (4250, 1), (9038, 1)], [(8, 1), (31, 1), (36, 1), (37, 1), (69, 1), (77, 1), (894, 1), (7824, 1)], [(8, 1), (18, 2), (20, 1), (31, 1), (36, 1), (45, 1), (50, 1), (97, 1), (225, 1), (516, 1), (679, 1), (697, 1), (1083, 1), (1393, 1), (1901, 1), (3942, 1), (4889, 1), (5176, 1), (8918, 1), (9039, 1), (9040, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (21, 1), (25, 1), (31, 1), (50, 3), (53, 4), (70, 1), (82, 1), (95, 2), (108, 1), (124, 1), (186, 1), (215, 1), (275, 1), (448, 1), (537, 1), (904, 1), (1237, 1), (1929, 1), (2445, 1), (2515, 1), (2879, 1), (2916, 1), (3013, 1), (3392, 1), (4159, 1), (4199, 1), (4202, 1), (5910, 1), (6213, 1), (6990, 1), (7256, 1), (7815, 1), (9034, 1), (9041, 1), (9042, 1), (9043, 1), (9044, 1), (9045, 1), (9046, 1)], [(8, 1), (20, 1), (50, 3), (77, 1), (99, 1), (187, 1), (190, 1), (206, 1), (448, 1), (450, 1), (452, 1), (537, 1), (607, 1), (1023, 1), (2117, 1), (4479, 1), (7181, 1), (9047, 1), (9048, 1)], [(8, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8824, 1), (8825, 1)], [(8, 1), (10, 1), (18, 2), (20, 2), (23, 1), (45, 1), (50, 1), (77, 1), (90, 1), (95, 1), (101, 1), (108, 1), (109, 1), (110, 2), (293, 1), (782, 1), (827, 1), (1393, 1), (2007, 1), (2442, 1), (2633, 1), (4400, 1), (4763, 1), (5176, 1), (6220, 1), (6385, 1), (9008, 1), (9049, 1), (9050, 1), (9051, 1)], [(8, 1), (19, 1), (20, 3), (24, 1), (25, 1), (31, 1), (77, 1), (260, 1), (406, 1), (448, 2), (704, 3), (1022, 1), (1041, 1), (1102, 1), (1529, 1), (1760, 1), (2872, 1), (3703, 1), (3804, 1), (9038, 1), (9050, 1), (9052, 1), (9053, 1)], [(8, 1), (18, 3), (20, 2), (31, 1), (53, 2), (77, 1), (85, 1), (109, 2), (185, 1), (256, 1), (884, 1), (1088, 1), (1239, 1), (1617, 1), (5052, 1), (8791, 1), (9050, 1), (9054, 1), (9055, 1), (9056, 1), (9057, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (50, 1), (53, 2), (58, 1), (65, 1), (77, 1), (97, 1), (225, 1), (301, 1), (414, 1), (531, 1), (632, 1), (645, 1), (894, 1), (1041, 1), (1308, 1), (1656, 1), (1901, 1), (3525, 1), (3591, 1), (5065, 1), (6036, 1), (6480, 1), (6739, 1), (6765, 1), (9058, 1), (9059, 1)], [(8, 1), (19, 1), (20, 1), (58, 1), (71, 1), (111, 1), (185, 1), (273, 1), (285, 1), (596, 1), (1379, 1), (2196, 1), (2320, 1), (2694, 1), (3661, 1), (9050, 1), (9060, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (25, 1), (31, 1), (50, 2), (53, 5), (58, 1), (65, 2), (71, 1), (74, 2), (82, 1), (90, 1), (108, 2), (122, 1), (365, 1), (369, 1), (448, 1), (506, 1), (516, 1), (777, 1), (1102, 1), (1470, 1), (1574, 1), (1747, 1), (1793, 1), (2076, 1), (2107, 1), (2145, 1), (2795, 1), (2839, 1), (5795, 1), (6026, 1), (9061, 1), (9062, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 2), (45, 1), (50, 1), (53, 3), (54, 1), (55, 1), (58, 2), (65, 1), (92, 1), (108, 2), (186, 1), (233, 1), (293, 1), (395, 1), (531, 1), (1119, 1), (2322, 2), (2419, 1), (2839, 1), (4958, 1), (6983, 1), (8758, 1), (8923, 1), (9050, 1), (9061, 1), (9063, 1), (9064, 1), (9065, 1), (9066, 1)], [(8, 1), (19, 1), (50, 1), (71, 1), (99, 1), (206, 1), (301, 1), (974, 1), (1072, 1), (5434, 1), (9067, 1), (9068, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (21, 2), (30, 1), (31, 1), (53, 1), (58, 1), (65, 1), (71, 3), (77, 1), (90, 2), (108, 1), (185, 1), (201, 2), (229, 1), (269, 1), (285, 1), (452, 1), (830, 2), (1193, 1), (1275, 1), (2055, 1), (2839, 1), (3052, 1), (4298, 1), (4698, 1), (9050, 1), (9061, 1), (9069, 1), (9070, 1), (9071, 1)], [(8, 1), (20, 2), (23, 1), (24, 1), (25, 1), (53, 3), (72, 1), (95, 3), (172, 1), (2030, 1), (9061, 1), (9072, 1), (9073, 1), (9074, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (36, 1), (50, 2), (53, 1), (69, 1), (71, 1), (77, 1), (197, 1), (723, 1), (894, 1), (3052, 1), (3495, 1), (5831, 1), (8975, 1), (9075, 1), (9076, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 1), (54, 1), (58, 1), (65, 1), (90, 1), (117, 1), (172, 1), (185, 1), (212, 1), (215, 2), (216, 1), (232, 1), (305, 1), (334, 1), (365, 1), (412, 1), (443, 1), (526, 1), (744, 1), (922, 1), (1024, 1), (1310, 1), (2761, 1), (2792, 1), (4549, 1), (7116, 1), (9050, 1), (9077, 1), (9078, 1), (9079, 1), (9080, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (50, 1), (53, 3), (54, 1), (90, 1), (108, 1), (122, 1), (214, 1), (428, 1), (441, 1), (697, 1), (922, 1), (1084, 1), (1555, 1), (4044, 1), (9081, 1), (9082, 1), (9083, 1), (9084, 1), (9085, 1), (9086, 1), (9087, 1)], [(8, 1), (31, 1), (50, 1), (54, 1), (58, 1), (334, 1), (531, 1), (1276, 1), (1392, 1), (1449, 1), (7500, 1), (9088, 1)], [(18, 3), (19, 2), (20, 4), (22, 1), (30, 1), (31, 1), (45, 2), (50, 2), (53, 3), (64, 2), (66, 1), (75, 1), (90, 3), (97, 1), (108, 1), (109, 3), (173, 1), (174, 2), (193, 1), (215, 1), (310, 1), (337, 1), (414, 2), (420, 2), (506, 1), (604, 1), (709, 1), (792, 1), (1106, 1), (1159, 2), (1163, 1), (1167, 2), (1297, 1), (1488, 2), (1510, 1), (1521, 1), (2063, 1), (2139, 1), (2228, 1), (2394, 2), (2492, 1), (2581, 1), (3296, 1), (5375, 1), (7157, 1), (8396, 1), (8497, 1), (8548, 1), (9050, 1), (9061, 1), (9089, 1), (9090, 1), (9091, 1), (9092, 2), (9093, 2), (9094, 1), (9095, 1), (9096, 1), (9097, 1), (9098, 1), (9099, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (50, 2), (53, 2), (90, 1), (371, 1), (405, 1), (414, 1), (723, 1), (792, 1), (1159, 1), (2265, 1), (4296, 1), (4989, 1), (5375, 1), (6184, 1), (7690, 1), (8192, 1), (9050, 1), (9080, 1), (9097, 1), (9099, 1), (9100, 1), (9101, 1), (9102, 1), (9103, 1)], [(8, 1), (18, 2), (20, 3), (24, 1), (25, 1), (50, 2), (55, 1), (65, 2), (225, 1), (452, 1), (516, 1), (778, 1), (827, 1), (1074, 1), (1122, 1), (1170, 1), (2401, 1), (4128, 1), (5054, 1), (9061, 1), (9104, 1), (9105, 1), (9106, 1), (9107, 1), (9108, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (50, 1), (58, 1), (77, 3), (173, 1), (256, 1), (300, 1), (328, 1), (452, 1), (537, 1), (884, 1), (908, 1), (2241, 1), (3000, 1), (3835, 1), (6048, 1)], [(8, 1), (31, 1), (36, 1), (53, 1), (77, 1), (518, 1), (894, 1), (4081, 1), (9109, 1)], [(8, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8825, 1), (8835, 1)], [(8, 1), (10, 1), (19, 2), (20, 1), (25, 1), (37, 1), (46, 1), (53, 2), (77, 1), (95, 1), (185, 1), (193, 1), (527, 1), (884, 1), (1575, 1), (1598, 1), (3319, 1), (5874, 1), (8843, 1), (9110, 1), (9111, 1)], [(8, 1), (18, 2), (20, 1), (23, 2), (30, 1), (50, 2), (53, 1), (54, 1), (90, 1), (96, 1), (172, 1), (173, 1), (182, 1), (193, 1), (273, 1), (410, 1), (743, 1), (1245, 1), (4549, 1), (9112, 1), (9113, 1)], [(8, 1), (18, 1), (21, 1), (36, 1), (50, 1), (74, 1), (77, 1), (452, 1), (813, 1), (2712, 1), (9114, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (36, 1), (53, 3), (77, 1), (187, 1), (275, 1), (328, 1), (334, 1), (516, 1), (678, 1), (983, 1), (1057, 1), (3539, 1), (4884, 1), (9014, 1), (9115, 1), (9116, 1), (9117, 1), (9118, 1)], [(8, 1), (24, 1), (77, 1), (812, 1), (3835, 1), (9119, 1)], [(8, 1), (23, 1), (50, 1), (96, 1), (173, 1), (225, 1), (537, 1), (812, 1), (813, 1), (2030, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 2), (71, 1), (81, 1), (95, 1), (185, 1), (281, 1), (414, 1), (601, 1), (771, 1), (1041, 1), (5054, 1), (8875, 1), (9120, 1), (9121, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (37, 1), (214, 1), (286, 1), (365, 1), (405, 1), (414, 2), (419, 1), (4357, 1), (9122, 1), (9123, 1), (9124, 1)], [(8, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (615, 1), (782, 1), (1544, 1), (8825, 1)], [(8, 1), (10, 1), (18, 1), (20, 1), (31, 1), (45, 2), (77, 1), (97, 1), (106, 1), (108, 2), (173, 1), (623, 1), (2240, 1), (2378, 1), (5612, 1), (6658, 1), (8843, 1), (9009, 1), (9125, 1), (9126, 1)], [(7, 2), (8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (30, 1), (31, 1), (36, 1), (45, 1), (53, 2), (56, 1), (95, 1), (117, 1), (173, 2), (215, 2), (232, 1), (448, 1), (626, 1), (662, 1), (677, 1), (1043, 1), (1615, 1), (2543, 1), (3417, 1), (7783, 1), (7970, 1), (9014, 1), (9127, 1), (9128, 1)], [(8, 1), (46, 1), (50, 2), (53, 2), (77, 1), (833, 1), (1160, 1), (3136, 1), (9119, 1), (9129, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (214, 1), (260, 1), (518, 1), (6073, 1), (9130, 1), (9131, 1)], [(8, 1), (4789, 1), (6248, 1), (8823, 1), (8842, 1)], [(8, 1), (10, 1), (25, 1), (782, 1), (3882, 1), (8824, 1), (8825, 1), (8842, 1)], [(10, 1), (155, 1), (8826, 1)], [(8, 1), (53, 1), (187, 1), (1456, 1), (2633, 1), (8797, 1), (8831, 1), (9132, 1)], [(8, 1), (23, 1)], [(8, 1), (24, 1), (9133, 1), (9134, 1)], [(8, 1), (8823, 1)], [(8, 1), (24, 1), (9134, 1), (9135, 1)], [(8, 1), (8824, 1)], [(8, 1), (24, 1), (65, 1), (429, 1), (9134, 1), (9136, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (21, 1), (31, 1), (50, 1), (53, 2), (58, 1), (71, 1), (82, 2), (90, 1), (97, 1), (98, 1), (111, 1), (172, 1), (323, 1), (399, 1), (403, 1), (404, 1), (531, 1), (532, 1), (553, 1), (704, 1), (743, 1), (830, 1), (834, 1), (1470, 1), (1733, 1), (1975, 1), (2029, 1), (2151, 1), (2586, 1), (2669, 1), (2847, 1), (2872, 1), (3403, 1), (5219, 1), (8876, 1), (8877, 1), (8944, 1), (9137, 1), (9138, 1), (9139, 1)], [(7, 1), (8, 2), (18, 1), (20, 1), (21, 1), (50, 2), (53, 2), (77, 1), (95, 1), (96, 1), (187, 1), (214, 1), (215, 1), (301, 1), (310, 1), (670, 1), (753, 1), (767, 1), (1580, 1), (1765, 1), (2187, 1), (3602, 1), (8781, 1), (9140, 1), (9141, 1)], [(8, 1), (18, 2), (20, 1), (55, 1), (74, 1), (623, 1), (1138, 1), (8791, 1)], [(8, 1), (8824, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (1591, 1), (8826, 1)], [(8, 1), (10, 1), (37, 1), (53, 2), (69, 1), (77, 1), (106, 1), (777, 1), (894, 1), (2440, 1), (5878, 1), (8828, 1), (8843, 1), (9142, 1), (9143, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (24, 1), (25, 1), (50, 2), (71, 1), (77, 1), (81, 1), (91, 1), (108, 1), (124, 1), (203, 1), (214, 1), (229, 1), (269, 1), (328, 1), (813, 1), (833, 1), (1580, 1), (1901, 1), (3181, 1), (4157, 1), (8988, 1), (9144, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (30, 1), (31, 2), (50, 1), (53, 1), (65, 2), (97, 1), (173, 1), (281, 1), (365, 1), (516, 1), (677, 1), (904, 1), (1001, 1), (1098, 1), (1820, 1), (1877, 1), (2029, 1), (2340, 1), (2515, 1), (3633, 1), (4769, 1), (9145, 1), (9146, 1), (9147, 1), (9148, 1), (9149, 1)], [(7, 1), (8, 1), (53, 1), (55, 1), (77, 1), (222, 1), (625, 1), (1090, 1), (1474, 1), (5135, 1), (6309, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 1), (109, 1), (702, 1), (711, 1), (2241, 1), (5157, 1), (6281, 1), (7533, 1), (9150, 1), (9151, 1), (9152, 1)], [(8, 1), (53, 2), (90, 1), (214, 1), (307, 1), (530, 1), (754, 1), (1579, 1), (2029, 1), (3476, 1)], [(8, 1), (18, 1), (214, 1), (530, 1), (6548, 1), (7500, 1), (9153, 1)], [(8, 1), (20, 1), (22, 1), (31, 1), (50, 1), (53, 1), (74, 1), (77, 1), (82, 1), (99, 1), (193, 1), (206, 1), (295, 2), (581, 1), (869, 1), (897, 1), (1001, 1), (1248, 1), (1865, 1), (2912, 1), (4407, 1), (5200, 1), (7918, 1), (9154, 1), (9155, 1), (9156, 1), (9157, 1)], [(8, 1), (20, 1), (50, 1), (65, 1), (99, 1), (126, 1), (190, 1), (240, 1), (269, 1), (537, 1), (2178, 2), (7181, 1), (9133, 1), (9134, 1), (9158, 1), (9159, 1), (9160, 1)], [(8, 1), (25, 1), (45, 1), (53, 1), (77, 1), (109, 1), (238, 1), (301, 1), (533, 1), (693, 1), (2241, 1), (3901, 1), (9161, 1), (9162, 1)], [(8, 1), (25, 1), (31, 1), (77, 1), (122, 1), (399, 1), (6349, 1), (9163, 1), (9164, 1)], [(8, 1), (58, 1), (414, 1), (450, 1), (2140, 1), (9165, 1), (9166, 1)], [(8, 1), (20, 1), (77, 1), (99, 1), (2178, 1), (2891, 1), (3034, 1), (8576, 1), (9134, 1)], [(8, 1), (18, 1), (19, 1), (90, 1), (99, 1), (122, 1), (172, 1), (676, 1), (812, 1), (830, 1), (1366, 1), (9143, 1)], [(8, 1), (20, 1), (45, 1), (58, 1), (77, 2), (82, 1), (90, 1), (293, 1), (452, 1), (3121, 1), (3667, 1), (8241, 1), (8814, 1), (9167, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (30, 1), (31, 1), (34, 1), (53, 2), (95, 1), (99, 2), (172, 1), (190, 1), (301, 1), (334, 1), (687, 1), (897, 1), (1253, 1), (1342, 1), (1377, 1), (2343, 1), (3134, 1), (9168, 1)], [(8, 1), (8824, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8823, 1), (8826, 1)], [(8, 1), (10, 1), (126, 1), (5870, 1), (8828, 1), (8843, 1), (9169, 1)], [(8, 1), (548, 1), (2712, 1)], [(8, 1), (20, 2), (23, 1), (31, 1), (36, 1), (53, 1), (77, 1), (342, 1), (894, 1), (1155, 1), (1308, 1)], [(8, 1), (20, 1), (36, 1), (50, 1), (53, 2), (77, 1), (256, 1), (289, 1), (833, 1), (885, 1), (907, 1), (922, 1), (1909, 1), (2983, 1), (9133, 1), (9134, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (30, 1), (173, 1), (190, 1), (6047, 1), (9170, 1), (9171, 1)], [(8, 1), (20, 1), (23, 1), (30, 2), (108, 1), (172, 1), (228, 1), (256, 1), (726, 1), (812, 1), (1824, 1), (2744, 1), (5833, 1), (9172, 1)], [(8, 1), (8824, 1), (8842, 1)], [(8, 1), (10, 1), (782, 1), (1544, 1), (8824, 1), (8826, 1)], [(8, 1), (10, 1), (20, 1), (22, 1), (24, 1), (25, 1), (31, 1), (46, 1), (50, 1), (53, 1), (58, 1), (65, 1), (77, 1), (215, 1), (293, 1), (795, 1), (880, 1), (894, 1), (1155, 1), (1308, 1), (1348, 1), (8828, 1), (8843, 1), (9134, 1), (9173, 1), (9174, 1)], [(7, 1), (8, 1), (20, 3), (21, 1), (24, 1), (31, 1), (50, 2), (53, 3), (65, 1), (77, 2), (81, 1), (90, 3), (97, 1), (109, 1), (173, 2), (217, 1), (225, 1), (756, 1), (894, 1), (1166, 1), (1235, 1), (1308, 1), (1502, 1), (3678, 1), (4694, 1), (5159, 1), (8879, 1), (9014, 1), (9134, 1), (9175, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 2), (31, 1), (50, 2), (53, 1), (65, 1), (77, 1), (109, 1), (173, 2), (359, 1), (448, 1), (516, 1), (827, 1), (1160, 1), (1642, 1), (1929, 1), (2132, 1), (2785, 1), (3652, 1), (5612, 1), (6242, 1), (8912, 1), (9133, 1), (9134, 1), (9176, 1), (9177, 1), (9178, 1)], [(8, 1), (10, 1), (18, 2), (20, 1), (25, 1), (36, 1), (45, 1), (50, 1), (172, 1), (173, 1), (225, 2), (261, 1), (268, 1), (394, 1), (407, 1), (414, 1), (415, 1), (623, 1), (626, 1), (782, 1), (3937, 1), (4157, 1), (6011, 1), (6442, 1), (9179, 1), (9180, 1)], [(8, 1), (37, 1), (45, 1), (65, 1), (301, 1), (382, 1), (9181, 1), (9182, 1)], [(8, 1), (18, 3), (19, 2), (20, 5), (25, 1), (30, 1), (31, 1), (45, 2), (50, 1), (53, 2), (55, 1), (64, 1), (72, 1), (77, 1), (90, 1), (109, 1), (117, 1), (215, 1), (232, 1), (310, 1), (338, 1), (418, 1), (626, 1), (632, 1), (709, 1), (710, 1), (767, 1), (778, 1), (1163, 1), (1219, 1), (1239, 2), (1824, 1), (1873, 1), (2117, 1), (2401, 1), (2812, 1), (3700, 1), (4525, 1), (5314, 1), (6165, 1), (6364, 1), (8119, 1), (9179, 1), (9183, 1), (9184, 1), (9185, 1), (9186, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (24, 1), (25, 1), (30, 1), (45, 2), (50, 2), (53, 1), (65, 1), (97, 1), (109, 1), (173, 1), (215, 1), (347, 1), (382, 1), (504, 1), (706, 1), (778, 1), (1170, 1), (1596, 1), (1731, 1), (1834, 1), (2208, 1), (2873, 1), (2985, 1), (3475, 1), (4062, 1), (9187, 1), (9188, 1)], [(25, 1), (126, 1), (247, 1), (407, 1), (1898, 1), (5065, 1), (9181, 1)], [(8, 1), (50, 1), (53, 1), (77, 1), (90, 1), (289, 1), (516, 1), (537, 1), (2440, 1), (3000, 1), (9143, 1)], [(8, 1), (20, 2), (50, 1), (53, 4), (77, 1), (82, 1), (185, 1), (187, 1), (215, 1), (741, 1), (1747, 1), (4638, 1), (6092, 1), (8826, 1), (8964, 1), (9134, 1), (9189, 1)], [(8, 1), (20, 1), (37, 1), (50, 1), (53, 1), (99, 1), (172, 1), (853, 1), (8529, 1), (8770, 1)], [(7, 1), (8, 1), (18, 1), (20, 6), (23, 1), (50, 1), (65, 1), (82, 1), (97, 1), (187, 1), (214, 1), (215, 1), (256, 1), (301, 1), (328, 1), (531, 1), (1350, 1), (1517, 1), (3034, 1), (3413, 1), (4105, 1), (4723, 1), (7211, 1), (8054, 1), (8690, 1), (9190, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (23, 2), (65, 1), (71, 1), (91, 1), (96, 1), (108, 1), (172, 1), (226, 1), (238, 1), (256, 1), (292, 1), (323, 1), (450, 1), (744, 1), (830, 2), (1733, 1), (2063, 1), (2066, 1), (4556, 1), (5367, 1), (7187, 1), (9191, 1), (9192, 1), (9193, 1), (9194, 1)], [(8, 1), (19, 1), (20, 5), (22, 12), (24, 1), (25, 1), (45, 1), (50, 1), (53, 12), (65, 2), (71, 2), (111, 1), (161, 1), (173, 1), (185, 1), (187, 1), (292, 1), (428, 1), (581, 1), (756, 12), (774, 1), (869, 1), (876, 1), (897, 1), (2206, 1), (2224, 1), (2418, 1), (3478, 1), (6436, 1), (7757, 1), (8241, 1), (8736, 1), (8846, 1), (8986, 1), (9014, 1), (9015, 1), (9195, 1), (9196, 1), (9197, 1), (9198, 1), (9199, 1), (9200, 1), (9201, 1), (9202, 1), (9203, 1), (9204, 1), (9205, 1), (9206, 1), (9207, 1), (9208, 1)], [(8, 1), (20, 4), (25, 1), (37, 1), (50, 2), (51, 1), (55, 1), (71, 1), (187, 1), (328, 1), (415, 1), (601, 1), (920, 1), (1235, 1), (1305, 1), (1441, 1), (3172, 1), (4549, 1), (7211, 1), (8620, 1), (9209, 1), (9210, 1), (9211, 1), (9212, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (50, 1), (91, 2), (108, 1), (175, 1), (215, 1), (253, 1), (256, 1), (263, 1), (301, 1), (527, 1), (581, 1), (2165, 1), (2912, 1), (3670, 1), (9213, 1), (9214, 1), (9215, 1), (9216, 1), (9217, 1)], [(8, 1), (20, 3), (25, 1), (53, 1), (54, 1), (71, 1), (82, 1), (90, 1), (122, 1), (185, 1), (193, 2), (226, 1), (285, 1), (392, 1), (776, 1), (2062, 1), (5944, 1), (6750, 1), (8964, 1), (9218, 1)], [(8, 1), (23, 1), (34, 1), (90, 1), (98, 1), (172, 1), (256, 1), (602, 1), (1072, 1), (1580, 1), (2466, 1), (2705, 1)], [(8, 1), (20, 2), (23, 1), (32, 1), (50, 2), (53, 4), (54, 1), (55, 1), (215, 1), (260, 1), (281, 1), (301, 1), (334, 1), (1580, 1), (1656, 1), (1702, 1), (1820, 1), (2965, 2), (3540, 1), (3810, 1), (6169, 1), (6175, 1), (8736, 1), (9219, 1), (9220, 1), (9221, 1), (9222, 1), (9223, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (22, 1), (40, 1), (53, 1), (71, 1), (94, 1), (286, 1), (450, 1), (763, 1), (830, 1), (1130, 1), (2504, 1), (2505, 1), (3121, 1), (3149, 2), (3810, 1), (9224, 1), (9225, 1), (9226, 1)], [(8, 1), (40, 1), (109, 1), (332, 1), (506, 1), (2005, 1), (2515, 1), (9227, 1)], [(8, 1), (18, 2), (20, 1), (21, 1), (50, 1), (53, 1), (77, 1), (106, 1), (164, 1), (256, 2), (2279, 1), (2985, 1), (3116, 3)], [(20, 4), (25, 1), (247, 1), (1583, 1), (2636, 1), (9228, 1), (9229, 1), (9230, 1)], [(1544, 1), (9231, 1)], [(8, 1), (24, 1), (9232, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (31, 1), (50, 4), (53, 5), (65, 3), (95, 2), (109, 1), (161, 2), (185, 1), (215, 2), (310, 1), (414, 1), (415, 1), (675, 1), (709, 1), (753, 1), (833, 1), (884, 1), (1363, 1), (1578, 1), (2178, 1), (2184, 1), (2239, 1), (3041, 1), (3416, 1), (6089, 1), (6301, 2), (6990, 1), (9233, 1), (9234, 1), (9235, 2), (9236, 1), (9237, 1), (9238, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 4), (24, 1), (25, 2), (30, 1), (31, 2), (32, 1), (50, 1), (51, 1), (53, 7), (54, 2), (72, 2), (77, 1), (82, 1), (90, 1), (95, 1), (117, 1), (124, 1), (232, 1), (256, 1), (418, 1), (531, 1), (709, 1), (829, 1), (1157, 1), (1325, 1), (1441, 1), (1578, 1), (1943, 1), (2036, 1), (2666, 1), (3138, 1), (4347, 1), (4666, 1), (5236, 1), (5543, 1), (6385, 1), (6538, 1), (7514, 1), (7874, 1), (8069, 1), (9232, 1), (9239, 1), (9240, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (31, 1), (58, 1), (65, 1), (98, 1), (185, 1), (201, 1), (353, 1), (1342, 1), (2150, 1), (4465, 1), (8001, 1), (9241, 1), (9242, 1), (9243, 1), (9244, 1), (9245, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (37, 1), (50, 1), (53, 5), (54, 1), (65, 1), (95, 1), (111, 1), (117, 1), (232, 1), (359, 1), (412, 1), (488, 1), (777, 1), (834, 1), (1041, 1), (1325, 1), (1529, 1), (1909, 1), (2150, 1), (4225, 1), (4560, 1), (6560, 1), (8210, 1), (9232, 1), (9243, 1), (9246, 1), (9247, 1), (9248, 1), (9249, 1), (9250, 1)], [(8, 1), (20, 3), (45, 1), (50, 1), (51, 1), (53, 2), (77, 2), (185, 1), (256, 1), (359, 1), (422, 1), (1293, 1), (1441, 1), (1487, 1), (1702, 1), (1854, 1), (7514, 1), (7745, 1), (8154, 1), (9251, 1), (9252, 1), (9253, 1), (9254, 1), (9255, 1), (9256, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (50, 1), (53, 1), (77, 1), (117, 1), (124, 1), (173, 1), (215, 2), (232, 1), (256, 1), (269, 1), (744, 1), (1040, 1), (1325, 1), (2359, 1), (4296, 1), (6904, 1), (8294, 1), (9243, 1), (9257, 1), (9258, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (18, 2), (20, 7), (22, 2), (25, 2), (31, 3), (45, 1), (50, 4), (53, 11), (71, 1), (77, 2), (82, 1), (90, 1), (91, 1), (109, 1), (117, 1), (173, 2), (215, 3), (232, 1), (256, 1), (281, 1), (307, 1), (317, 1), (365, 1), (373, 1), (414, 1), (441, 1), (448, 1), (450, 2), (526, 1), (531, 1), (600, 1), (605, 1), (697, 1), (709, 1), (743, 1), (775, 1), (852, 1), (947, 1), (1102, 1), (1130, 1), (1224, 1), (1308, 1), (1310, 1), (1399, 1), (1487, 1), (1488, 1), (1517, 1), (1943, 1), (2029, 1), (2064, 1), (2073, 1), (2096, 2), (2120, 1), (2178, 1), (2186, 1), (3476, 1), (3828, 1), (4103, 1), (4228, 1), (4299, 1), (4666, 1), (5040, 1), (5054, 1), (6048, 1), (6423, 1), (7142, 1), (7148, 1), (7514, 1), (8686, 1), (9259, 1), (9260, 1), (9261, 1), (9262, 1)], [(8, 1), (20, 3), (21, 1), (25, 1), (53, 3), (77, 1), (185, 1), (193, 1), (346, 1), (365, 1), (645, 1), (763, 1), (1130, 1), (1462, 1), (1571, 1), (1917, 1), (1943, 1), (2036, 1), (2099, 1), (2344, 1), (4957, 1)], [(8, 1), (20, 4), (22, 1), (25, 2), (31, 3), (50, 2), (53, 6), (55, 1), (65, 1), (95, 1), (172, 1), (214, 1), (278, 1), (293, 1), (337, 1), (355, 1), (407, 1), (450, 1), (709, 1), (775, 1), (1325, 1), (1517, 1), (1596, 1), (3934, 1), (5526, 1), (6162, 1), (8081, 1), (8731, 1), (9240, 1), (9263, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 2), (53, 1), (55, 1), (58, 1), (77, 1), (88, 1), (117, 1), (232, 1), (273, 1), (450, 1), (658, 1), (711, 1), (1325, 1), (1464, 1), (1799, 1), (2184, 1), (4729, 1), (6806, 1), (9264, 1)], [(7, 2), (8, 1), (10, 1), (18, 3), (19, 1), (20, 16), (22, 3), (25, 3), (31, 4), (32, 1), (37, 4), (40, 1), (50, 6), (51, 1), (53, 6), (55, 1), (58, 1), (65, 1), (82, 1), (90, 1), (108, 2), (111, 2), (174, 1), (193, 1), (202, 1), (206, 2), (214, 1), (222, 1), (256, 1), (268, 1), (281, 2), (283, 1), (288, 1), (289, 1), (329, 2), (353, 1), (399, 1), (448, 2), (450, 3), (487, 1), (516, 1), (531, 1), (608, 1), (627, 1), (645, 1), (782, 1), (812, 1), (830, 1), (833, 1), (908, 1), (1012, 1), (1102, 1), (1160, 1), (1324, 1), (1348, 1), (1391, 1), (1393, 1), (1451, 1), (1471, 1), (1488, 1), (1594, 1), (1685, 1), (1824, 1), (1972, 1), (2007, 1), (2064, 1), (2075, 1), (2096, 1), (2117, 1), (2162, 1), (2320, 1), (2366, 1), (2440, 2), (2757, 1), (2844, 1), (2916, 1), (3181, 1), (3203, 1), (3476, 1), (3688, 1), (5521, 1), (5614, 1), (5939, 1), (6402, 1), (6539, 1), (6858, 1), (7157, 1), (7879, 1), (8775, 1), (9263, 1), (9265, 1), (9266, 1), (9267, 1), (9268, 1), (9269, 1), (9270, 1), (9271, 1), (9272, 1), (9273, 1), (9274, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 2), (34, 1), (45, 1), (50, 1), (53, 4), (55, 1), (65, 2), (69, 1), (82, 2), (97, 1), (99, 1), (161, 1), (173, 1), (190, 1), (214, 1), (215, 2), (228, 1), (289, 1), (355, 1), (504, 1), (531, 1), (1361, 1), (2064, 1), (2075, 1), (2279, 1), (3460, 1), (3667, 1), (3907, 1), (4219, 1), (4503, 1), (5525, 1), (5686, 1), (5844, 1), (7726, 1), (8172, 1), (9275, 1), (9276, 1), (9277, 1), (9278, 1), (9279, 1), (9280, 1), (9281, 1)], [(7, 1), (8, 1), (19, 4), (20, 6), (22, 4), (25, 3), (31, 1), (37, 1), (40, 1), (45, 1), (50, 6), (53, 8), (54, 3), (55, 1), (65, 1), (71, 1), (90, 1), (91, 1), (109, 1), (111, 2), (173, 3), (202, 1), (260, 1), (268, 2), (281, 1), (328, 1), (331, 1), (365, 1), (420, 1), (459, 1), (490, 1), (600, 1), (645, 1), (704, 1), (716, 1), (813, 1), (1102, 4), (1308, 1), (1325, 1), (1393, 1), (1629, 1), (1824, 1), (1904, 1), (2064, 1), (2075, 1), (2120, 1), (2187, 1), (2238, 1), (2270, 1), (2744, 1), (2894, 1), (3255, 1), (3658, 1), (3762, 1), (3830, 1), (3844, 1), (4209, 1), (4465, 1), (4572, 1), (5607, 1), (5686, 1), (5942, 1), (6129, 1), (6315, 1), (7757, 1), (9282, 1), (9283, 1), (9284, 1), (9285, 1), (9286, 1), (9287, 1), (9288, 1), (9289, 1), (9290, 1), (9291, 1), (9292, 1), (9293, 1), (9294, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 2), (50, 1), (58, 2), (71, 1), (90, 1), (91, 1), (108, 1), (124, 1), (173, 1), (190, 1), (215, 1), (275, 1), (316, 1), (415, 1), (459, 2), (686, 1), (711, 1), (833, 1), (834, 1), (861, 1), (1377, 1), (1499, 1), (3035, 1), (3043, 1), (5607, 1), (5788, 1), (6248, 1), (6353, 1), (6543, 1), (6693, 1), (9294, 1), (9295, 1), (9296, 1), (9297, 1), (9298, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (27, 1), (31, 2), (45, 1), (50, 1), (90, 1), (92, 1), (97, 1), (347, 1), (526, 1), (531, 1), (658, 1), (834, 1), (922, 1), (1642, 1), (2178, 1), (2266, 1), (3255, 1), (5169, 1), (5607, 1), (9299, 1), (9300, 1), (9301, 1), (9302, 2), (9303, 1)], [(8, 1), (18, 1), (20, 6), (25, 2), (31, 1), (50, 2), (53, 2), (58, 2), (71, 1), (96, 1), (111, 1), (117, 1), (124, 1), (190, 1), (232, 1), (286, 1), (415, 1), (448, 1), (581, 1), (600, 1), (645, 1), (654, 1), (777, 1), (812, 1), (813, 1), (904, 1), (1160, 1), (2029, 1), (5142, 1), (5515, 1), (6464, 1), (8978, 1), (8980, 1), (9304, 1), (9305, 1), (9306, 1), (9307, 1), (9308, 1), (9309, 1), (9310, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (25, 1), (40, 1), (50, 3), (53, 7), (56, 1), (58, 1), (77, 1), (90, 2), (92, 2), (94, 1), (106, 1), (108, 1), (109, 1), (117, 2), (124, 1), (185, 1), (232, 2), (323, 1), (332, 1), (450, 2), (581, 1), (600, 1), (691, 1), (777, 1), (833, 1), (834, 1), (893, 1), (1010, 1), (1526, 1), (1758, 1), (2119, 1), (2240, 1), (2986, 1), (3164, 1), (3206, 1), (3524, 1), (3534, 1), (7480, 1), (7501, 1), (8593, 1), (9309, 1), (9311, 1), (9312, 1), (9313, 1), (9314, 1), (9315, 1), (9316, 1), (9317, 1)], [(8, 1), (19, 1), (20, 1), (31, 2), (90, 1), (91, 1), (172, 1), (206, 1), (260, 1), (320, 1), (420, 1), (448, 1), (487, 1), (711, 1), (829, 1), (1664, 1), (1751, 1), (1849, 1), (2153, 1), (3121, 1), (4695, 1), (6402, 1), (8137, 1), (9262, 1), (9318, 1), (9319, 1), (9320, 1), (9321, 1)], [(8, 1), (20, 3), (22, 1), (27, 1), (31, 1), (50, 2), (53, 5), (195, 1), (215, 1), (301, 1), (307, 1), (420, 1), (531, 1), (897, 1), (1249, 1), (2554, 1), (5391, 1), (5917, 1), (7726, 1), (7961, 1), (9322, 1), (9323, 1), (9324, 1), (9325, 1), (9326, 1), (9327, 1), (9328, 1), (9329, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (31, 2), (32, 1), (40, 1), (45, 1), (53, 2), (190, 1), (215, 1), (269, 1), (285, 1), (293, 1), (323, 1), (556, 1), (852, 1), (1041, 1), (1686, 1), (1998, 1), (3043, 1), (4455, 1), (5031, 1), (6693, 1), (7243, 1), (7420, 1), (7975, 1), (8533, 1), (9330, 1), (9331, 1), (9332, 1), (9333, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 2), (23, 2), (25, 5), (30, 1), (31, 2), (37, 2), (45, 1), (51, 1), (55, 1), (65, 1), (82, 1), (90, 1), (95, 1), (172, 1), (178, 1), (185, 1), (203, 1), (214, 1), (237, 1), (301, 1), (307, 1), (506, 2), (516, 1), (900, 1), (1308, 1), (1361, 1), (1580, 1), (1685, 1), (1702, 1), (1904, 1), (3042, 1), (4299, 1), (4307, 1), (4503, 1), (5883, 1), (6315, 1), (7061, 1), (8311, 1), (9334, 1), (9335, 1), (9336, 1), (9337, 1), (9338, 1), (9339, 1)], [(20, 1), (247, 1), (1583, 1), (6315, 1)], [(20, 3), (25, 2), (31, 3), (53, 3), (58, 1), (71, 2), (96, 1), (108, 1), (109, 1), (193, 1), (203, 1), (245, 1), (247, 1), (292, 1), (338, 1), (1010, 1), (1076, 1), (1130, 1), (1899, 1), (9340, 1), (9341, 1), (9342, 1), (9343, 1)], [(1544, 1), (9344, 1)], [(8, 1), (24, 1), (65, 1), (9345, 1), (9346, 1)], [(8, 1), (19, 1), (20, 7), (22, 3), (25, 3), (31, 1), (32, 1), (33, 1), (45, 3), (50, 3), (53, 7), (65, 6), (77, 2), (90, 1), (108, 1), (109, 1), (122, 1), (217, 1), (225, 1), (323, 1), (373, 1), (414, 2), (531, 1), (811, 1), (1127, 1), (1329, 1), (1596, 1), (1630, 1), (1731, 1), (1931, 1), (2075, 1), (2196, 1), (2397, 1), (2694, 1), (2700, 1), (2977, 1), (3426, 1), (3455, 1), (3638, 1), (4729, 1), (5015, 1), (5153, 1), (6261, 1), (7013, 1), (7171, 1), (7236, 1), (8243, 1), (8488, 1), (8489, 1), (9347, 1), (9348, 1), (9349, 1), (9350, 1), (9351, 1), (9352, 1), (9353, 1), (9354, 1), (9355, 1)], [(8, 1), (19, 1), (20, 1), (45, 2), (53, 1), (82, 1), (90, 1), (99, 1), (285, 1), (342, 1), (347, 1), (2030, 1), (4209, 1), (4549, 1), (4556, 1), (6315, 1), (9356, 1), (9357, 1), (9358, 1)], [(8, 2), (19, 1), (20, 7), (25, 1), (31, 1), (50, 1), (53, 3), (64, 1), (173, 1), (260, 1), (301, 1), (428, 1), (444, 1), (531, 1), (824, 1), (1163, 1), (1195, 1), (1228, 1), (1377, 1), (1867, 1), (2064, 1), (2367, 1), (3091, 1), (4729, 1), (7286, 1), (9359, 1), (9360, 1), (9361, 1), (9362, 1), (9363, 1)], [(8, 2), (18, 2), (19, 1), (20, 11), (25, 3), (45, 2), (50, 2), (53, 5), (55, 1), (64, 1), (77, 1), (90, 1), (109, 1), (117, 1), (173, 1), (197, 1), (225, 2), (232, 1), (337, 1), (428, 1), (448, 1), (763, 1), (897, 1), (1163, 1), (1195, 1), (1324, 1), (1520, 1), (1696, 1), (1699, 1), (2197, 1), (2344, 1), (2442, 1), (2490, 1), (2543, 1), (2753, 1), (3013, 1), (3539, 1), (3641, 1), (4328, 1), (4349, 1), (4482, 1), (4777, 1), (4787, 1), (7236, 1), (7286, 2), (7295, 1), (8433, 1), (8517, 1), (9359, 1), (9364, 1), (9365, 1), (9366, 1), (9367, 1), (9368, 1)], [(8, 2), (18, 1), (19, 1), (20, 5), (24, 1), (25, 2), (34, 1), (37, 1), (45, 1), (51, 1), (53, 3), (55, 2), (58, 1), (64, 1), (71, 1), (90, 1), (173, 1), (186, 1), (190, 1), (337, 1), (410, 1), (490, 1), (852, 1), (897, 1), (970, 1), (1042, 1), (1163, 1), (1195, 1), (1540, 1), (1698, 1), (2077, 1), (2519, 1), (3145, 1), (3539, 1), (3947, 1), (4920, 1), (4989, 1), (6771, 1), (7411, 1), (8077, 1), (8746, 1), (9359, 1), (9364, 1), (9369, 1), (9370, 1)], [(7, 2), (8, 1), (18, 4), (19, 1), (20, 10), (22, 2), (25, 2), (31, 1), (32, 1), (37, 4), (45, 2), (50, 3), (53, 6), (55, 1), (65, 1), (70, 1), (108, 2), (109, 2), (117, 1), (173, 3), (186, 2), (193, 1), (202, 1), (215, 1), (232, 1), (256, 1), (262, 1), (293, 1), (301, 1), (310, 1), (378, 1), (414, 1), (415, 1), (428, 2), (448, 1), (675, 1), (706, 1), (708, 1), (777, 1), (897, 1), (970, 1), (1348, 1), (1377, 1), (1608, 1), (1626, 1), (2018, 1), (2064, 2), (2075, 1), (2195, 1), (2467, 1), (2681, 1), (2765, 1), (3140, 1), (3495, 1), (3696, 1), (4572, 1), (5941, 1), (6359, 1), (6913, 2), (7110, 1), (7230, 1), (7296, 1), (7375, 1), (8324, 1), (8413, 1), (8551, 1), (9364, 1), (9371, 1), (9372, 1), (9373, 1), (9374, 1), (9375, 1), (9376, 1), (9377, 1), (9378, 1), (9379, 1), (9380, 1), (9381, 1), (9382, 1)], [(8, 1), (18, 1), (20, 8), (25, 1), (31, 1), (50, 1), (53, 3), (111, 1), (117, 1), (173, 1), (232, 1), (253, 1), (301, 1), (355, 1), (428, 1), (884, 1), (897, 1), (1467, 1), (1582, 1), (1629, 1), (2270, 1), (2977, 1), (3421, 1), (3808, 1), (4729, 1), (4843, 1), (5234, 1), (5951, 1), (6315, 1), (6364, 1), (7411, 1), (9148, 1), (9383, 1), (9384, 1), (9385, 1)], [(7, 1), (8, 1), (19, 3), (20, 9), (22, 2), (25, 3), (30, 1), (31, 2), (50, 3), (53, 8), (65, 1), (77, 2), (82, 2), (90, 2), (117, 1), (122, 1), (173, 1), (185, 1), (190, 1), (193, 1), (202, 1), (215, 1), (232, 1), (269, 1), (273, 1), (275, 1), (281, 1), (287, 1), (310, 1), (365, 1), (399, 1), (407, 1), (430, 1), (433, 2), (448, 1), (450, 3), (452, 1), (487, 1), (498, 1), (559, 1), (706, 1), (834, 1), (904, 1), (922, 1), (1010, 2), (1416, 1), (1529, 1), (1760, 1), (1824, 1), (1966, 1), (1988, 1), (2053, 1), (2064, 1), (2766, 1), (2847, 1), (3134, 1), (3455, 1), (3761, 1), (4729, 1), (5547, 1), (5611, 2), (5704, 1), (6301, 2), (9294, 1), (9386, 1), (9387, 1), (9388, 1), (9389, 1), (9390, 1), (9391, 1), (9392, 1), (9393, 1), (9394, 1)], [(185, 1), (1714, 1), (2037, 1), (7891, 1)], [(126, 1), (1714, 1), (9395, 1)], [(8, 1), (82, 1), (5956, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 1), (50, 2), (82, 1), (172, 3), (203, 1), (217, 3), (256, 1), (356, 1), (448, 1), (553, 1), (1582, 1), (3052, 1), (3641, 1), (9277, 1), (9396, 1), (9397, 2), (9398, 1), (9399, 1), (9400, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (31, 1), (45, 1), (50, 3), (53, 3), (54, 1), (65, 1), (82, 1), (90, 2), (108, 2), (117, 3), (173, 1), (229, 1), (232, 3), (301, 1), (323, 1), (645, 2), (777, 1), (1342, 1), (2766, 1), (3035, 1), (3455, 1), (3724, 1), (4033, 1), (4619, 1), (4840, 1), (5200, 1), (5335, 1), (5467, 1), (5620, 1), (7798, 1), (8231, 1), (8525, 1), (9397, 2), (9401, 1), (9402, 1), (9403, 1), (9404, 1), (9405, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (58, 1), (71, 1), (77, 1), (96, 1), (225, 2), (256, 1), (311, 1), (776, 1), (2010, 1), (9406, 1), (9407, 1), (9408, 1)], [(8, 1), (18, 1), (50, 1), (77, 2), (97, 1), (122, 1), (268, 1), (328, 1), (2186, 1), (9409, 1), (9410, 1), (9411, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 4), (50, 3), (53, 2), (65, 2), (90, 1), (99, 2), (185, 1), (190, 1), (346, 1), (365, 1), (504, 1), (505, 1), (709, 1), (811, 1), (897, 1), (963, 1), (1731, 1), (3237, 1), (4059, 1), (9238, 1), (9255, 1), (9310, 1), (9412, 1), (9413, 1), (9414, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (45, 2), (53, 1), (65, 2), (256, 1), (365, 1), (414, 1), (516, 1), (778, 1), (1649, 1), (1702, 1), (2694, 1), (2766, 1), (5784, 1), (5806, 1), (6191, 1), (6315, 1), (8010, 1), (8143, 1), (9415, 1), (9416, 1), (9417, 1), (9418, 1), (9419, 1), (9420, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (71, 1), (229, 1), (359, 1), (990, 1), (1129, 1), (1943, 1), (2024, 1), (3923, 1), (9421, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (53, 1), (82, 1), (215, 1), (307, 1), (328, 1), (459, 1), (530, 1), (884, 1), (903, 1), (1128, 1), (1824, 1), (2186, 1), (4638, 1), (6315, 2), (9422, 1), (9423, 1)], [(8, 1), (20, 2), (30, 1), (37, 1), (51, 1), (53, 2), (117, 1), (173, 1), (215, 1), (232, 1), (261, 1), (269, 1), (281, 1), (307, 1), (450, 1), (645, 1), (1068, 1), (1594, 1), (1792, 1), (2858, 1), (2864, 1), (6737, 1), (7097, 1), (9424, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (53, 3), (55, 1), (56, 1), (82, 1), (90, 2), (108, 1), (172, 1), (215, 1), (260, 1), (281, 1), (285, 1), (293, 1), (711, 1), (1416, 1), (1685, 1), (2442, 1), (2967, 1), (3999, 1), (9352, 1), (9425, 1), (9426, 1), (9427, 1)], [(247, 1), (1165, 1)], [(8, 1), (18, 1), (20, 6), (22, 4), (25, 5), (30, 1), (45, 2), (50, 1), (53, 4), (54, 1), (58, 3), (82, 1), (85, 1), (97, 1), (117, 1), (215, 1), (232, 1), (305, 1), (331, 1), (420, 1), (433, 1), (486, 1), (504, 1), (529, 1), (654, 1), (703, 1), (884, 1), (1102, 1), (1572, 1), (1811, 1), (1853, 1), (2036, 1), (2211, 1), (2864, 2), (2891, 1), (3227, 1), (3639, 1), (4528, 2), (4851, 1), (6315, 1), (6327, 1), (6546, 1), (7286, 1), (7972, 1), (9428, 1), (9429, 1), (9430, 1), (9431, 1), (9432, 1), (9433, 1), (9434, 1)], [(8, 1), (20, 4), (22, 2), (25, 1), (31, 1), (51, 1), (53, 3), (54, 1), (55, 1), (63, 1), (82, 1), (173, 1), (193, 2), (206, 1), (286, 1), (293, 1), (321, 1), (459, 1), (516, 1), (1139, 1), (1308, 1), (1377, 1), (1824, 1), (2766, 1), (3741, 1), (3988, 1), (4592, 1), (4729, 1), (5625, 1), (6315, 1), (6806, 2), (6884, 1), (9435, 1), (9436, 1), (9437, 1), (9438, 1), (9439, 1), (9440, 1), (9441, 1), (9442, 1), (9443, 1), (9444, 1), (9445, 1)], [(8, 1), (18, 3), (19, 1), (20, 1), (31, 1), (53, 1), (54, 1), (58, 1), (353, 1), (420, 1), (596, 1), (1867, 1), (3594, 1), (4615, 1), (6364, 1), (7295, 1), (8063, 1), (9446, 1), (9447, 1)], [(8, 1), (20, 2), (25, 1), (50, 1), (53, 1), (54, 1), (173, 1), (178, 1), (185, 1), (331, 1), (884, 2), (1858, 1), (1972, 1), (2337, 1), (4670, 1), (6566, 1), (7411, 1), (9448, 1)], [(8, 1), (22, 1), (45, 1), (50, 1), (53, 3), (172, 1), (217, 1), (285, 1), (459, 1), (3000, 1), (6546, 1), (9449, 1), (9450, 1), (9451, 1)], [(8, 1), (19, 4), (20, 1), (30, 1), (31, 1), (53, 1), (172, 2), (185, 1), (203, 1), (286, 1), (763, 1), (903, 1), (1377, 1), (1642, 1), (2912, 1), (7411, 1), (9452, 1), (9453, 1), (9454, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (30, 1), (31, 1), (45, 1), (56, 1), (90, 1), (124, 1), (172, 1), (173, 2), (185, 1), (186, 1), (193, 1), (217, 1), (273, 1), (285, 1), (706, 1), (812, 2), (879, 1), (1066, 1), (1377, 1), (1867, 1), (2159, 1), (2474, 1), (2766, 1), (2847, 1), (3418, 1), (6315, 1), (6650, 1), (9444, 1)], [(8, 1), (20, 1), (53, 1), (58, 1), (215, 1), (289, 1), (293, 1), (331, 1), (347, 2), (459, 1), (812, 1), (1377, 1), (2159, 1), (3434, 1), (6315, 1), (7411, 1), (9455, 1)], [(8, 1), (19, 2), (20, 1), (37, 1), (50, 1), (792, 1), (1377, 1), (2912, 1), (3057, 1), (6008, 1), (7411, 1), (9456, 1)], [(18, 3), (19, 1), (20, 8), (22, 2), (25, 1), (30, 2), (31, 1), (45, 1), (50, 2), (53, 2), (54, 3), (58, 2), (82, 1), (90, 1), (108, 1), (111, 1), (173, 2), (174, 1), (193, 1), (201, 1), (236, 1), (247, 1), (293, 1), (300, 1), (414, 2), (490, 1), (709, 1), (744, 1), (1041, 1), (1488, 1), (1607, 1), (2637, 1), (3371, 1), (3420, 1), (4216, 1), (4299, 1), (4652, 1), (5597, 1), (6008, 1), (6439, 1), (7411, 1), (9334, 1), (9457, 1), (9458, 1), (9459, 1), (9460, 1)], [(18, 1), (54, 1), (247, 1), (645, 1), (9461, 1)], [(8, 1), (387, 1), (4763, 1)], [(8, 1), (20, 1), (25, 1), (53, 3), (54, 1), (77, 1), (186, 1), (193, 1), (310, 1), (645, 1), (763, 1), (2344, 1), (3138, 1), (3455, 1), (7411, 2)], [(247, 1), (9462, 1)], [(8, 1), (31, 1), (50, 1), (54, 1), (117, 1), (232, 1), (286, 1), (1287, 1), (1342, 1), (3455, 1), (3541, 1), (7411, 1), (7497, 1), (9463, 1)], [(8, 1), (22, 1), (25, 2), (30, 1), (31, 1), (50, 2), (53, 3), (172, 1), (347, 1), (441, 1), (711, 1), (1626, 1), (1824, 1), (2479, 1), (2537, 1), (5657, 1), (7286, 1), (7295, 1), (9464, 1)], [(8, 1), (18, 2), (19, 3), (20, 5), (22, 1), (25, 1), (45, 1), (50, 1), (53, 1), (58, 1), (77, 2), (82, 1), (90, 1), (108, 2), (124, 1), (172, 1), (173, 1), (190, 1), (203, 1), (256, 2), (260, 1), (305, 1), (323, 1), (361, 1), (833, 2), (869, 1), (897, 1), (1248, 1), (1377, 1), (1615, 1), (1627, 1), (1868, 1), (2064, 1), (3110, 1), (3121, 1), (3572, 1), (3579, 1), (4968, 1), (5984, 1), (6061, 1), (6688, 1), (6814, 1), (7295, 2), (7411, 3), (8001, 1), (8021, 1), (9465, 1), (9466, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (40, 1), (46, 1), (50, 1), (53, 1), (54, 2), (58, 2), (71, 1), (90, 3), (96, 1), (109, 1), (111, 1), (124, 1), (173, 2), (192, 1), (347, 2), (531, 1), (605, 1), (776, 1), (812, 1), (833, 1), (1160, 1), (1416, 1), (1943, 1), (3035, 1), (3255, 1), (6270, 1), (7411, 1), (7745, 1), (9467, 1), (9468, 1)], [(8, 1), (20, 1), (30, 1), (31, 1), (45, 1), (58, 1), (82, 1), (96, 1), (173, 1), (215, 1), (286, 1), (289, 1), (293, 1), (792, 1), (2515, 1), (4392, 1), (9469, 1), (9470, 1), (9471, 1)], [(8, 1), (20, 2), (25, 1), (40, 1), (108, 1), (109, 1), (172, 1), (236, 1), (1519, 1), (1580, 1), (2023, 1), (3979, 1), (7411, 1), (9472, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (23, 5), (31, 1), (50, 1), (51, 1), (53, 2), (54, 1), (65, 1), (74, 1), (166, 1), (215, 1), (242, 1), (256, 1), (288, 1), (307, 1), (317, 1), (420, 1), (531, 1), (1177, 1), (1430, 1), (1943, 1), (1958, 1), (2571, 1), (2839, 1), (6546, 1)], [(22, 1), (32, 1), (50, 3), (53, 3), (117, 3), (232, 3), (247, 1), (328, 2), (351, 1), (392, 1), (505, 1), (1918, 1), (4393, 1), (9473, 1), (9474, 1), (9475, 1)], [(8, 1), (18, 2), (19, 3), (20, 6), (25, 2), (31, 2), (37, 1), (50, 1), (53, 2), (54, 1), (58, 1), (65, 2), (90, 2), (92, 1), (117, 1), (161, 1), (175, 1), (193, 2), (232, 1), (287, 1), (293, 1), (305, 1), (307, 1), (347, 2), (459, 1), (504, 1), (902, 1), (1342, 1), (1615, 1), (1685, 1), (1696, 1), (1903, 1), (1960, 2), (2365, 1), (2397, 1), (3455, 1), (3741, 1), (3899, 1), (4214, 1), (4729, 1), (4957, 1), (6129, 1), (6315, 1), (7411, 3), (8556, 1), (9255, 1), (9476, 1), (9477, 1), (9478, 1), (9479, 1), (9480, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (45, 1), (53, 2), (71, 1), (72, 1), (96, 1), (117, 1), (232, 1), (346, 1), (763, 1), (830, 1), (1248, 1), (2100, 1), (2766, 1), (3934, 1), (4729, 1), (6129, 1), (6315, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (31, 1), (53, 2), (54, 2), (111, 1), (448, 1), (450, 2), (902, 2), (1931, 1), (1964, 1), (2184, 1), (3251, 1), (3359, 1), (4109, 1), (4219, 1), (5763, 1), (5940, 1), (5994, 1), (7153, 1), (7171, 1), (9481, 1), (9482, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (331, 1), (459, 1), (711, 1), (775, 1), (827, 1), (897, 1), (1041, 1), (1248, 1), (5080, 1), (5605, 1), (9483, 1), (9484, 1)], [(8, 1), (18, 1), (25, 1), (50, 2), (53, 1), (117, 1), (353, 1), (530, 1), (678, 1), (813, 1), (1012, 1), (4729, 1), (6239, 1), (9485, 1), (9486, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (50, 2), (53, 5), (54, 1), (65, 1), (69, 1), (117, 1), (232, 1), (359, 1), (775, 1), (834, 1), (1040, 1), (1081, 1), (1325, 1), (1928, 1), (2088, 1), (2161, 1), (2766, 1), (2847, 1), (3002, 1), (3522, 1), (3670, 1), (3700, 1), (4078, 1), (6845, 1), (7653, 1), (9487, 1), (9488, 1), (9489, 1), (9490, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (50, 3), (53, 4), (54, 1), (55, 1), (58, 1), (68, 1), (90, 1), (229, 1), (328, 1), (450, 3), (693, 1), (744, 1), (775, 1), (903, 1), (910, 1), (3709, 1), (3934, 1), (6026, 1), (6327, 1), (6357, 1), (9491, 1), (9492, 1), (9493, 1)], [(8, 1), (22, 1), (37, 1), (55, 1), (355, 1), (361, 1), (394, 1), (450, 1), (516, 2), (530, 1), (711, 1), (2760, 1), (8034, 1), (8588, 1), (9407, 1), (9494, 1), (9495, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 3), (25, 1), (33, 1), (50, 2), (53, 4), (54, 1), (65, 2), (85, 2), (90, 1), (334, 1), (347, 1), (353, 1), (414, 1), (842, 1), (1667, 1), (1719, 1), (1914, 1), (2153, 1), (2154, 1), (2883, 1), (3614, 1), (3756, 1), (5984, 1), (6021, 1), (8103, 1), (8266, 1), (8488, 1), (8489, 1), (9496, 1), (9497, 1), (9498, 1), (9499, 1), (9500, 1), (9501, 1)], [(7, 1), (8, 1), (18, 2), (20, 3), (25, 1), (30, 1), (45, 1), (50, 1), (55, 1), (58, 1), (65, 4), (82, 2), (173, 2), (193, 1), (287, 1), (331, 1), (347, 1), (410, 1), (459, 1), (504, 2), (531, 1), (626, 1), (697, 1), (792, 1), (897, 1), (1963, 1), (2259, 1), (4179, 1), (7288, 1), (7718, 1), (8103, 1), (9430, 1), (9502, 1), (9503, 1), (9504, 1), (9505, 1), (9506, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (25, 1), (30, 2), (31, 1), (45, 1), (53, 1), (55, 1), (65, 1), (75, 1), (85, 1), (117, 1), (186, 1), (232, 1), (259, 1), (331, 1), (334, 1), (428, 1), (706, 1), (776, 1), (1465, 1), (1529, 1), (2457, 1), (2864, 1), (2911, 1), (3594, 1), (5247, 1), (5384, 1), (5737, 1), (6770, 1), (7013, 1), (8024, 1), (8103, 1), (8140, 1), (8397, 1), (8488, 1), (8489, 1), (9507, 1), (9508, 1), (9509, 1), (9510, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (25, 1), (36, 1), (50, 2), (53, 1), (54, 1), (65, 1), (185, 1), (452, 1), (813, 1), (884, 1), (1127, 1), (1180, 1), (2622, 1), (3491, 1), (3783, 1), (5310, 1), (6488, 1), (7171, 1), (9511, 1), (9512, 1), (9513, 1), (9514, 1)], [(8, 1), (20, 2), (25, 1), (50, 2), (53, 3), (54, 1), (55, 1), (65, 2), (96, 1), (117, 1), (206, 1), (232, 1), (269, 1), (331, 1), (505, 1), (1248, 1), (1511, 1), (2401, 1), (2965, 1), (2985, 1), (4585, 1), (6315, 1), (7917, 1), (7938, 1), (8318, 1), (8488, 1), (8489, 1), (9117, 1), (9515, 1), (9516, 1), (9517, 1)], [(8, 1), (20, 4), (25, 1), (37, 2), (45, 1), (50, 1), (53, 2), (54, 1), (55, 1), (85, 1), (91, 1), (92, 1), (109, 1), (173, 1), (193, 1), (285, 1), (337, 1), (428, 1), (450, 1), (487, 1), (711, 1), (775, 1), (777, 1), (884, 1), (1041, 1), (1057, 1), (1326, 1), (1696, 1), (2345, 1), (2871, 1), (3140, 1), (3295, 1), (5081, 1), (7168, 1), (9518, 1), (9519, 1), (9520, 1), (9521, 1)], [(8, 1), (18, 3), (19, 5), (20, 5), (22, 1), (31, 1), (34, 1), (45, 3), (50, 1), (53, 4), (54, 1), (65, 1), (91, 1), (108, 1), (117, 1), (122, 1), (172, 1), (193, 1), (197, 1), (215, 1), (232, 1), (285, 1), (305, 1), (316, 1), (378, 1), (392, 1), (394, 1), (414, 1), (420, 1), (443, 1), (449, 1), (531, 1), (582, 1), (706, 1), (709, 1), (777, 1), (1668, 1), (1699, 2), (1863, 1), (2366, 2), (2857, 1), (3274, 1), (3614, 1), (4729, 1), (5158, 1), (5680, 1), (7355, 1), (7898, 1), (8103, 1), (8140, 1), (9522, 1), (9523, 1), (9524, 1), (9525, 1), (9526, 1), (9527, 1), (9528, 1), (9529, 1)], [(8, 1), (19, 1), (20, 2), (37, 1), (53, 1), (54, 1), (82, 1), (108, 1), (185, 1), (273, 1), (301, 1), (334, 1), (2409, 1), (9530, 1), (9531, 1), (9532, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (53, 1), (90, 1), (92, 1), (122, 1), (166, 1), (173, 1), (186, 1), (293, 1), (744, 1), (903, 1), (1450, 1), (2340, 1), (2515, 1), (3121, 1), (3138, 1), (3670, 1), (7848, 1), (9466, 1), (9533, 1), (9534, 1), (9535, 1), (9536, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (31, 1), (45, 1), (50, 3), (53, 3), (92, 1), (185, 1), (276, 1), (301, 1), (338, 1), (505, 1), (507, 1), (879, 1), (1010, 1), (1077, 1), (2712, 1), (5251, 1), (5552, 1), (5677, 1), (5681, 1), (7558, 1), (9158, 1), (9537, 1), (9538, 1)], [(7, 2), (8, 1), (20, 1), (111, 2), (214, 1), (353, 1), (1118, 1), (1127, 1), (5457, 1), (6546, 1), (9539, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (21, 2), (31, 2), (34, 1), (45, 1), (50, 2), (53, 2), (65, 1), (69, 1), (90, 1), (161, 1), (173, 1), (229, 1), (289, 1), (293, 2), (301, 1), (347, 1), (449, 1), (490, 1), (531, 1), (1686, 1), (1966, 1), (2304, 1), (3155, 1), (3468, 1), (3614, 1), (3709, 1), (5282, 1), (5673, 1), (6201, 1), (8488, 1), (8489, 1), (8576, 1), (9117, 1), (9540, 1), (9541, 1), (9542, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (30, 2), (31, 1), (37, 1), (45, 2), (50, 1), (53, 4), (65, 1), (71, 1), (85, 1), (90, 1), (108, 1), (173, 1), (256, 1), (285, 1), (331, 1), (420, 1), (442, 1), (601, 1), (809, 1), (1122, 1), (1377, 1), (1961, 1), (2392, 1), (3373, 1), (3447, 1), (3594, 1), (5426, 1), (7168, 1), (7171, 1), (8103, 1), (9543, 1), (9544, 1), (9545, 1), (9546, 1), (9547, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 2), (31, 1), (37, 1), (53, 2), (55, 1), (65, 1), (82, 1), (90, 1), (97, 2), (108, 1), (178, 1), (193, 2), (285, 1), (415, 1), (450, 3), (711, 1), (775, 1), (792, 2), (1313, 1), (2719, 1), (3043, 1), (3455, 1), (3500, 1), (3709, 1), (4442, 1), (6840, 1), (7129, 1), (7879, 1), (8488, 1), (8489, 1), (9548, 1), (9549, 1), (9550, 1), (9551, 1), (9552, 1)], [(8, 1), (20, 4), (31, 1), (45, 1), (50, 1), (90, 1), (108, 1), (166, 1), (172, 1), (173, 1), (203, 1), (217, 1), (257, 1), (269, 1), (412, 1), (448, 1), (1347, 1), (3052, 1), (3614, 1), (3821, 1), (7152, 1), (7420, 1), (9553, 1), (9554, 1)], [(247, 1), (9555, 1)], [(65, 1), (247, 1), (8488, 1), (8489, 1)], [(8, 1), (53, 1), (281, 1), (323, 1), (778, 1), (2320, 1), (3410, 1), (9556, 1), (9557, 1), (9558, 1)], [(8, 1), (18, 2), (20, 1), (45, 1), (173, 1), (256, 1), (414, 1), (743, 1), (914, 1), (1069, 1), (1118, 1), (6188, 1), (9559, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 1), (31, 2), (37, 1), (45, 2), (53, 1), (65, 2), (91, 1), (193, 1), (197, 1), (285, 1), (334, 1), (359, 1), (365, 1), (442, 1), (450, 1), (516, 1), (758, 1), (1102, 1), (1248, 1), (1342, 1), (1914, 1), (2178, 1), (2514, 1), (3161, 1), (4482, 1), (5135, 1), (5456, 1), (7394, 1), (9560, 1), (9561, 1), (9562, 1), (9563, 1), (9564, 1), (9565, 1), (9566, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 3), (40, 1), (53, 1), (58, 2), (65, 1), (92, 1), (193, 1), (206, 1), (229, 1), (256, 1), (301, 1), (307, 1), (328, 1), (420, 1), (450, 2), (459, 1), (711, 2), (827, 1), (1102, 1), (1279, 1), (1342, 1), (1393, 1), (1702, 1), (1731, 1), (2005, 1), (2019, 1), (2994, 1), (4385, 1), (4729, 1), (5409, 1), (5524, 1), (8731, 1), (9261, 1), (9407, 1), (9567, 1), (9568, 1), (9569, 1)], [(7, 2), (8, 1), (18, 1), (19, 3), (20, 6), (22, 1), (25, 1), (53, 2), (58, 1), (70, 1), (77, 2), (90, 3), (91, 1), (95, 1), (117, 1), (161, 1), (185, 1), (193, 1), (215, 1), (232, 1), (268, 1), (269, 1), (323, 1), (328, 1), (359, 1), (407, 1), (709, 1), (753, 1), (903, 1), (1196, 1), (1342, 1), (1517, 1), (1964, 1), (2015, 1), (2016, 1), (3044, 1), (3201, 1), (4698, 1), (4729, 1), (5287, 1), (6315, 1), (6784, 1), (7865, 1), (9570, 1), (9571, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 2), (50, 2), (53, 3), (58, 1), (71, 1), (85, 1), (90, 1), (124, 1), (172, 1), (233, 1), (241, 1), (601, 1), (775, 1), (833, 1), (3323, 1), (3409, 1), (3506, 1), (3934, 1), (4729, 1), (5524, 1), (6129, 1)], [(8, 1), (18, 4), (19, 1), (20, 4), (22, 2), (25, 1), (31, 1), (53, 2), (54, 1), (58, 2), (65, 1), (71, 1), (85, 1), (108, 1), (184, 1), (215, 2), (286, 1), (387, 1), (420, 1), (430, 1), (480, 1), (711, 1), (792, 1), (1010, 1), (1308, 1), (1416, 1), (1574, 1), (1901, 1), (2321, 1), (2345, 1), (2406, 1), (3134, 1), (4843, 1), (4874, 1), (9572, 1), (9573, 1)], [(8, 1), (20, 1), (22, 2), (31, 1), (53, 1), (54, 2), (268, 1), (289, 1), (711, 1), (792, 1), (3043, 1), (4729, 1), (5253, 1), (6315, 1), (7497, 1), (9574, 1), (9575, 1), (9576, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (50, 1), (53, 1), (54, 1), (58, 1), (173, 1), (531, 1), (1702, 1), (2117, 1), (4346, 1), (4357, 1), (5440, 1), (6380, 1), (9261, 1)], [(8, 1), (20, 1), (31, 2), (36, 1), (50, 1), (53, 3), (56, 1), (215, 1), (2344, 1), (5524, 2), (5566, 1), (9577, 1), (9578, 1), (9579, 1)], [(18, 1), (20, 9), (22, 1), (25, 1), (26, 1), (31, 3), (45, 3), (50, 4), (51, 1), (53, 5), (85, 1), (90, 1), (117, 1), (186, 1), (215, 1), (229, 1), (232, 1), (247, 1), (281, 1), (293, 1), (328, 2), (331, 1), (347, 1), (420, 1), (1041, 1), (1377, 1), (1519, 1), (1559, 1), (1628, 1), (1797, 1), (1803, 1), (2168, 1), (2286, 1), (2465, 1), (2650, 1), (4249, 1), (5404, 1), (5524, 1), (6315, 1), (6638, 1), (7342, 1), (8370, 1), (8941, 1), (9158, 1), (9580, 1), (9581, 1), (9582, 1), (9583, 1), (9584, 2), (9585, 1)], [(1544, 1), (9586, 1)], [(8, 1), (24, 1), (65, 1), (1334, 1), (8102, 1)], [(8, 1), (20, 1), (31, 1), (53, 2), (54, 1), (55, 1), (65, 1), (90, 1), (122, 1), (124, 1), (317, 1), (415, 1), (426, 1), (706, 1), (763, 1), (1122, 1), (1580, 1), (2475, 1), (2820, 1), (2967, 1), (3557, 1), (7680, 1), (9587, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (53, 2), (55, 1), (65, 1), (69, 1), (78, 1), (117, 1), (124, 1), (172, 1), (214, 1), (232, 1), (260, 1), (317, 1), (359, 1), (407, 1), (488, 1), (752, 1), (830, 1), (1022, 1), (1102, 1), (1159, 2), (1240, 1), (1322, 1), (1403, 1), (1471, 1), (1481, 1), (1517, 1), (1811, 1), (2270, 1), (2272, 1), (3923, 1), (5054, 1), (7587, 1), (8343, 1), (9588, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 2), (22, 1), (25, 1), (31, 2), (50, 2), (53, 4), (55, 1), (65, 2), (77, 1), (82, 1), (95, 1), (111, 1), (117, 1), (124, 1), (214, 1), (253, 1), (259, 2), (260, 1), (269, 1), (273, 1), (317, 1), (331, 1), (337, 1), (399, 1), (404, 1), (504, 1), (531, 1), (609, 1), (752, 1), (897, 1), (1007, 1), (1057, 1), (1159, 3), (1248, 1), (1322, 2), (1481, 1), (1488, 1), (1587, 1), (1732, 1), (1747, 1), (2005, 1), (2272, 1), (2344, 1), (2466, 1), (2872, 1), (3542, 1), (3701, 1), (7587, 1), (9589, 1), (9590, 1), (9591, 1), (9592, 1), (9593, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 1), (53, 1), (65, 1), (77, 1), (111, 1), (212, 1), (215, 1), (226, 1), (269, 1), (317, 1), (346, 1), (434, 1), (448, 1), (452, 1), (498, 1), (892, 1), (1281, 1), (1481, 1), (2245, 1), (2813, 1), (2965, 1), (4956, 1), (9594, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 2), (31, 1), (37, 1), (50, 1), (51, 1), (53, 2), (58, 1), (65, 1), (88, 1), (90, 1), (91, 1), (169, 1), (317, 1), (459, 1), (1481, 1), (1580, 1), (1877, 1), (1948, 1), (3056, 1), (4552, 1), (9595, 1), (9596, 1), (9597, 1)], [(7, 2), (8, 1), (10, 1), (11, 1), (19, 3), (20, 7), (22, 2), (31, 2), (37, 1), (50, 3), (53, 6), (54, 1), (58, 1), (65, 1), (71, 1), (90, 1), (111, 1), (117, 1), (170, 1), (172, 2), (203, 1), (206, 1), (215, 1), (232, 1), (233, 1), (286, 1), (317, 2), (332, 1), (334, 1), (386, 1), (419, 1), (450, 2), (691, 1), (706, 1), (777, 1), (830, 1), (879, 1), (915, 1), (974, 1), (1072, 1), (1102, 1), (1363, 1), (1585, 1), (1626, 1), (1824, 1), (1948, 1), (2140, 1), (2270, 1), (2667, 1), (3971, 1), (4205, 1), (4299, 1), (4553, 1), (5137, 1), (8346, 1), (8691, 1), (9221, 1), (9295, 1), (9598, 1), (9599, 2), (9600, 2), (9601, 1)], [(7, 1), (8, 1), (18, 5), (19, 2), (20, 6), (22, 2), (25, 1), (31, 1), (37, 1), (50, 5), (51, 1), (53, 6), (55, 1), (65, 3), (77, 1), (85, 2), (90, 2), (95, 1), (108, 3), (111, 1), (174, 1), (215, 1), (260, 1), (281, 1), (317, 1), (331, 1), (392, 1), (399, 1), (404, 1), (432, 1), (450, 1), (459, 3), (516, 1), (531, 1), (620, 1), (706, 1), (709, 1), (752, 1), (763, 1), (834, 2), (1113, 2), (1170, 1), (1393, 1), (1467, 1), (1482, 1), (1668, 1), (1731, 1), (1766, 1), (1909, 1), (1948, 1), (1955, 1), (2663, 1), (2670, 1), (3296, 1), (3550, 1), (5204, 1), (6247, 1), (6404, 1), (6415, 1), (6940, 1), (7943, 1), (8960, 1), (9597, 1), (9602, 1), (9603, 1), (9604, 1), (9605, 1), (9606, 1), (9607, 1), (9608, 1), (9609, 1), (9610, 1), (9611, 1), (9612, 1), (9613, 1)], [(7, 1), (8, 1), (18, 4), (19, 2), (20, 7), (22, 3), (25, 1), (30, 2), (31, 2), (45, 4), (50, 4), (51, 1), (53, 5), (54, 1), (55, 1), (65, 3), (71, 1), (82, 1), (85, 1), (109, 2), (111, 2), (172, 1), (193, 1), (256, 1), (317, 1), (323, 2), (359, 1), (386, 1), (414, 1), (419, 1), (505, 1), (998, 1), (1041, 1), (1146, 1), (1164, 1), (1260, 1), (1394, 1), (1481, 1), (1772, 1), (1796, 1), (2007, 1), (2184, 1), (2240, 1), (2344, 1), (2744, 1), (2985, 1), (3583, 1), (4143, 1), (4215, 1), (4349, 1), (4736, 1), (5054, 1), (5622, 1), (6026, 1), (7605, 1), (8860, 1), (9614, 1), (9615, 1), (9616, 1), (9617, 1), (9618, 1), (9619, 1), (9620, 1), (9621, 1), (9622, 1), (9623, 1), (9624, 1), (9625, 1), (9626, 1), (9627, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 2), (25, 1), (50, 3), (53, 1), (65, 3), (85, 2), (161, 1), (172, 1), (175, 1), (214, 1), (240, 1), (256, 1), (281, 1), (317, 1), (323, 1), (386, 1), (419, 1), (600, 1), (620, 1), (753, 1), (1102, 1), (1277, 1), (1481, 1), (1585, 1), (1668, 1), (1702, 1), (2245, 1), (2734, 1), (2847, 1), (2948, 1), (3319, 1), (3447, 1), (5742, 1), (5762, 1), (8264, 1), (9597, 1), (9617, 1), (9628, 1), (9629, 1)], [(8, 1), (20, 7), (22, 3), (25, 1), (31, 1), (32, 1), (50, 2), (53, 5), (55, 1), (77, 1), (111, 1), (269, 1), (281, 1), (323, 2), (351, 1), (448, 1), (457, 1), (490, 1), (704, 1), (828, 1), (1010, 1), (1995, 1), (2372, 1), (2774, 1), (3468, 1), (3540, 1), (4578, 1), (5320, 1), (6128, 1), (6364, 1), (7569, 3), (9630, 1), (9631, 1), (9632, 1), (9633, 1), (9634, 1)], [(8, 1), (20, 4), (25, 1), (31, 1), (45, 2), (50, 2), (65, 1), (90, 1), (97, 1), (117, 1), (190, 1), (269, 1), (278, 1), (287, 1), (306, 1), (317, 1), (414, 1), (516, 1), (1012, 1), (1042, 1), (1287, 1), (1520, 1), (2400, 1), (2693, 1), (2774, 1), (3169, 1), (5217, 1), (5259, 1), (5673, 1), (7699, 1), (9277, 1), (9634, 1), (9635, 1), (9636, 1), (9637, 1)], [(7, 1), (8, 1), (18, 2), (20, 5), (22, 2), (25, 1), (31, 1), (40, 1), (45, 1), (50, 1), (65, 2), (71, 1), (77, 3), (90, 2), (108, 1), (203, 1), (317, 1), (328, 2), (407, 1), (414, 1), (420, 1), (441, 1), (706, 1), (999, 1), (1035, 1), (1139, 1), (1801, 2), (1824, 1), (2774, 1), (3524, 1), (4521, 1), (5942, 1), (6612, 1), (7315, 1), (7839, 1), (8202, 1), (9638, 1), (9639, 1), (9640, 1), (9641, 1), (9642, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 2), (50, 1), (53, 3), (58, 1), (71, 2), (90, 1), (92, 1), (96, 2), (97, 1), (109, 1), (190, 1), (201, 2), (203, 1), (281, 1), (301, 1), (334, 1), (450, 2), (711, 1), (830, 1), (1098, 1), (1911, 2), (1995, 1), (2034, 1), (2084, 1), (2336, 1), (2620, 1), (3849, 1), (4142, 1), (4184, 1), (4521, 1), (4555, 1), (5217, 1), (5367, 1), (6364, 1), (7666, 1), (8208, 1), (9152, 1), (9620, 1), (9631, 1), (9643, 1), (9644, 1), (9645, 1), (9646, 1), (9647, 1), (9648, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (22, 1), (31, 2), (50, 3), (53, 4), (55, 1), (58, 1), (65, 1), (77, 2), (82, 1), (90, 1), (97, 1), (108, 1), (122, 1), (161, 1), (256, 1), (293, 1), (317, 1), (365, 1), (405, 1), (531, 1), (602, 1), (706, 1), (830, 1), (834, 1), (877, 1), (1361, 1), (1470, 1), (2774, 1), (3143, 1), (3409, 1), (6074, 1), (7874, 1), (8307, 1), (9597, 1), (9649, 1), (9650, 1), (9651, 1), (9652, 1), (9653, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (24, 1), (31, 3), (50, 4), (53, 6), (65, 3), (90, 2), (95, 1), (97, 1), (215, 1), (287, 1), (355, 1), (365, 1), (434, 1), (459, 1), (791, 1), (1115, 1), (1170, 1), (1365, 1), (1482, 1), (1509, 1), (1710, 1), (1901, 1), (1940, 1), (2270, 1), (2321, 1), (2543, 1), (2744, 1), (3160, 1), (3465, 1), (4073, 1), (4143, 1), (4255, 1), (4465, 1), (4716, 1), (5224, 1), (7151, 1), (8211, 1), (8497, 1), (8606, 1), (9650, 1), (9654, 1), (9655, 1), (9656, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (50, 1), (53, 4), (54, 1), (65, 1), (126, 1), (185, 1), (281, 1), (323, 1), (609, 1), (913, 1), (922, 1), (1157, 1), (1471, 1), (1520, 1), (1732, 1), (1999, 1), (2855, 1), (3030, 1), (3234, 1), (3352, 1), (3465, 1), (4295, 1), (5784, 1), (7587, 1), (8983, 1), (9657, 1), (9658, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (32, 1), (50, 1), (53, 1), (65, 2), (90, 1), (95, 1), (185, 1), (193, 1), (225, 1), (269, 1), (301, 1), (317, 1), (365, 1), (419, 1), (706, 1), (709, 1), (897, 1), (990, 1), (2986, 1), (3923, 1), (6892, 1), (9214, 1)], [(8, 1), (10, 1), (19, 1), (22, 1), (24, 1), (25, 1), (53, 2), (65, 3), (109, 1), (193, 1), (197, 1), (214, 1), (215, 1), (317, 1), (415, 1), (418, 1), (450, 1), (753, 1), (782, 1), (1129, 1), (1248, 1), (1481, 1), (1483, 1), (1665, 1), (1931, 1), (2466, 1), (2820, 1), (3161, 1), (3426, 2), (4533, 1), (4787, 1), (7587, 1), (9659, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (50, 1), (53, 3), (58, 2), (65, 1), (77, 2), (317, 1), (359, 1), (645, 1), (706, 1), (1675, 1), (2279, 1), (2475, 1), (2967, 1), (3901, 1), (5420, 1), (9660, 1), (9661, 1), (9662, 1)], [(8, 1), (18, 1), (20, 7), (25, 1), (50, 2), (51, 1), (53, 7), (58, 1), (99, 2), (193, 1), (215, 3), (260, 1), (324, 1), (338, 1), (351, 1), (355, 1), (365, 1), (413, 1), (459, 2), (504, 1), (659, 1), (661, 1), (704, 1), (765, 1), (767, 1), (776, 1), (800, 1), (828, 1), (1071, 1), (1529, 1), (1689, 1), (1766, 1), (1995, 1), (2036, 2), (2228, 1), (2240, 1), (2313, 1), (2543, 1), (2658, 1), (3892, 1), (9663, 1), (9664, 1), (9665, 1)], [(8, 1), (20, 2), (31, 1), (50, 1), (53, 3), (55, 1), (99, 1), (256, 1), (351, 1), (365, 1), (435, 1), (482, 1), (527, 1), (800, 1), (2585, 1), (7480, 1), (9666, 1)], [(8, 1), (22, 2), (24, 1), (53, 1), (99, 1), (428, 1), (709, 1), (1260, 1), (1266, 1), (1813, 1), (1821, 1), (4829, 1), (7466, 1), (9667, 1), (9668, 1), (9669, 1), (9670, 1)], [(8, 1), (18, 1), (20, 3), (21, 1), (22, 7), (25, 2), (31, 2), (37, 1), (50, 5), (53, 2), (55, 2), (77, 1), (96, 1), (99, 5), (108, 3), (124, 1), (172, 1), (185, 1), (214, 2), (236, 1), (244, 1), (268, 3), (286, 1), (292, 1), (324, 2), (407, 1), (428, 1), (505, 1), (609, 1), (809, 2), (812, 2), (1248, 1), (1596, 1), (2096, 1), (2107, 1), (2933, 1), (3455, 1), (3733, 1), (3950, 1), (4297, 1), (4485, 1), (4697, 1), (4977, 1), (5251, 1), (5649, 1), (5926, 1), (6378, 1), (6806, 1), (6990, 1), (7185, 1), (7638, 1), (9512, 1), (9671, 1), (9672, 1), (9673, 1), (9674, 1), (9675, 1), (9676, 1), (9677, 1), (9678, 1), (9679, 1), (9680, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (50, 2), (53, 3), (65, 1), (99, 1), (111, 1), (117, 1), (174, 1), (193, 1), (215, 1), (269, 1), (285, 1), (317, 1), (359, 1), (404, 1), (414, 1), (609, 1), (706, 1), (832, 1), (834, 1), (1248, 1), (1488, 1), (1665, 1), (2001, 1), (2148, 1), (2920, 1), (3700, 1), (3726, 1), (3752, 1), (3756, 1), (3980, 1), (6688, 1), (9681, 1)], [(8, 1), (18, 9), (19, 5), (20, 9), (25, 1), (31, 1), (50, 5), (53, 2), (58, 1), (71, 2), (77, 1), (90, 1), (97, 2), (99, 1), (111, 2), (161, 1), (215, 1), (289, 1), (293, 2), (324, 1), (331, 1), (415, 1), (505, 1), (600, 1), (743, 1), (744, 1), (834, 1), (904, 1), (1394, 1), (1854, 1), (1937, 1), (2005, 1), (2184, 1), (2371, 1), (2404, 1), (2471, 1), (2776, 1), (2985, 1), (3048, 1), (3072, 1), (3085, 1), (3121, 1), (3299, 1), (5361, 1), (6197, 1), (6416, 1), (6625, 1), (7322, 1), (7820, 1), (9527, 1), (9682, 1), (9683, 1), (9684, 1), (9685, 1), (9686, 1), (9687, 1), (9688, 1), (9689, 1), (9690, 1), (9691, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (50, 2), (53, 3), (65, 2), (69, 1), (72, 1), (77, 1), (99, 1), (117, 2), (281, 1), (317, 1), (407, 1), (418, 1), (706, 1), (759, 2), (800, 1), (1139, 1), (1287, 1), (1393, 1), (1471, 1), (1802, 1), (4519, 2), (4709, 1), (4826, 1), (7272, 1), (9048, 1), (9692, 1), (9693, 1), (9694, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (53, 2), (117, 1), (173, 1), (215, 2), (232, 1), (285, 1), (325, 1), (365, 1), (410, 2), (414, 1), (1084, 1), (2469, 1), (2965, 1), (4858, 1), (5361, 1), (5568, 1), (9695, 1)], [(8, 1), (10, 1), (18, 5), (20, 6), (22, 2), (25, 1), (26, 1), (28, 3), (31, 4), (50, 6), (53, 5), (55, 1), (58, 3), (65, 3), (71, 1), (77, 4), (82, 1), (85, 1), (99, 3), (108, 1), (111, 1), (124, 1), (175, 1), (215, 2), (256, 1), (260, 1), (268, 1), (289, 1), (293, 2), (306, 1), (324, 1), (334, 1), (410, 1), (516, 1), (531, 1), (553, 1), (654, 1), (830, 1), (833, 1), (914, 1), (1041, 1), (1072, 1), (1541, 1), (1628, 1), (1911, 1), (2263, 1), (2275, 1), (2321, 3), (2343, 3), (2650, 1), (2967, 1), (3049, 1), (3125, 1), (3323, 1), (3480, 1), (3770, 2), (3974, 1), (4520, 1), (4815, 1), (5052, 1), (5555, 1), (5905, 1), (6178, 1), (6242, 1), (6445, 1), (6818, 1), (7490, 1), (9696, 1), (9697, 1), (9698, 1), (9699, 1), (9700, 1), (9701, 1), (9702, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (26, 1), (28, 1), (31, 1), (50, 2), (65, 1), (99, 1), (111, 1), (124, 1), (268, 1), (324, 2), (581, 1), (885, 1), (1072, 1), (1275, 1), (2140, 1), (2343, 1), (2705, 1), (2765, 1), (2995, 1), (6776, 1), (9703, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (31, 1), (37, 1), (50, 3), (53, 4), (55, 1), (58, 1), (65, 3), (71, 1), (72, 1), (77, 1), (90, 1), (95, 1), (97, 1), (109, 1), (111, 1), (117, 1), (119, 1), (185, 1), (214, 2), (289, 1), (317, 1), (518, 1), (709, 1), (832, 1), (834, 1), (884, 1), (1170, 1), (1293, 1), (1481, 1), (1482, 1), (2556, 1), (2967, 1), (4458, 1), (5447, 1), (9233, 1), (9583, 1), (9684, 1), (9704, 1), (9705, 1), (9706, 1), (9707, 1), (9708, 1), (9709, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (31, 2), (37, 1), (50, 8), (53, 8), (54, 1), (55, 1), (64, 1), (65, 3), (81, 1), (97, 1), (108, 1), (117, 2), (119, 1), (126, 1), (185, 1), (214, 1), (232, 1), (317, 1), (359, 1), (399, 1), (502, 1), (756, 1), (897, 1), (1293, 2), (1481, 1), (1607, 1), (1904, 2), (2178, 1), (2239, 1), (2990, 1), (3279, 1), (3295, 1), (5982, 1), (6325, 1), (6516, 1), (6562, 1), (6693, 1), (6981, 1), (7664, 1), (8117, 1), (9209, 1), (9597, 1), (9704, 1), (9710, 1), (9711, 1), (9712, 1), (9713, 1), (9714, 2), (9715, 1), (9716, 1), (9717, 1), (9718, 1), (9719, 1), (9720, 1)], [(8, 1), (10, 1), (20, 3), (22, 1), (25, 4), (31, 1), (36, 1), (37, 1), (50, 1), (53, 3), (58, 1), (65, 1), (72, 1), (84, 2), (90, 1), (109, 1), (117, 2), (119, 2), (161, 1), (173, 1), (229, 2), (293, 1), (337, 2), (415, 1), (419, 4), (504, 1), (743, 1), (782, 1), (827, 2), (830, 1), (920, 1), (1081, 1), (1128, 1), (1377, 1), (1887, 1), (1973, 1), (2248, 2), (2541, 1), (3203, 1), (3633, 1), (3814, 1), (4155, 1), (4867, 1), (4989, 1), (5220, 1), (9704, 1), (9713, 1), (9721, 1), (9722, 1), (9723, 1), (9724, 1), (9725, 1), (9726, 1), (9727, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (22, 1), (31, 1), (50, 1), (53, 1), (55, 1), (58, 2), (65, 2), (77, 3), (111, 1), (117, 2), (201, 1), (232, 2), (324, 1), (359, 1), (430, 1), (516, 1), (632, 1), (706, 1), (767, 1), (829, 1), (1044, 1), (1139, 1), (1585, 1), (1901, 1), (2320, 1), (2515, 1), (3295, 1), (6242, 1), (6281, 1), (6351, 1), (7426, 1), (8754, 1), (9714, 1), (9728, 1), (9729, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 1), (53, 3), (58, 1), (65, 1), (92, 1), (99, 1), (317, 1), (414, 1), (428, 1), (627, 1), (884, 1), (1373, 1), (2795, 1), (9625, 1), (9730, 1), (9731, 1), (9732, 1)], [(8, 1), (18, 2), (20, 5), (25, 1), (50, 1), (53, 3), (55, 1), (77, 1), (108, 1), (111, 1), (337, 1), (632, 2), (709, 1), (710, 1), (1549, 1), (2435, 1), (2850, 1), (2941, 1), (2942, 1), (3134, 1), (3299, 1), (7422, 1), (9733, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (31, 1), (77, 1), (97, 1), (324, 1), (359, 1), (415, 1), (1044, 1), (1082, 1), (2515, 1), (5052, 1), (8035, 1), (9734, 1), (9735, 1), (9736, 1), (9737, 1), (9738, 1)], [(8, 1), (10, 1), (18, 3), (19, 2), (20, 4), (22, 1), (25, 1), (30, 1), (31, 3), (45, 2), (50, 3), (53, 6), (55, 2), (65, 2), (77, 1), (90, 1), (91, 2), (99, 1), (108, 2), (109, 1), (111, 1), (117, 1), (173, 2), (185, 1), (193, 1), (232, 1), (256, 1), (281, 1), (310, 1), (317, 1), (329, 1), (347, 1), (365, 1), (387, 1), (434, 1), (441, 1), (452, 1), (627, 1), (680, 1), (706, 1), (708, 1), (782, 1), (834, 1), (1072, 1), (1478, 1), (1528, 1), (1904, 1), (2029, 1), (2064, 1), (2196, 1), (2296, 1), (3013, 1), (3138, 1), (3658, 1), (4652, 1), (6351, 1), (8035, 1), (8485, 1), (8497, 1), (9714, 1), (9728, 1), (9739, 1), (9740, 1), (9741, 1), (9742, 1), (9743, 1), (9744, 1), (9745, 2), (9746, 1), (9747, 1), (9748, 1), (9749, 1)], [(8, 1), (18, 3), (19, 5), (20, 16), (22, 3), (23, 1), (25, 4), (31, 5), (37, 3), (45, 5), (50, 9), (53, 9), (54, 2), (55, 1), (58, 1), (64, 5), (65, 4), (72, 1), (75, 1), (77, 2), (82, 1), (90, 3), (96, 1), (108, 3), (109, 1), (117, 5), (173, 6), (185, 1), (195, 2), (206, 1), (215, 2), (217, 1), (226, 1), (228, 2), (232, 5), (240, 2), (256, 1), (269, 1), (273, 1), (281, 1), (289, 1), (293, 4), (310, 1), (328, 2), (346, 1), (388, 1), (399, 1), (414, 1), (433, 1), (434, 1), (452, 3), (531, 1), (599, 1), (602, 1), (632, 1), (709, 1), (827, 1), (834, 1), (861, 1), (884, 2), (1102, 3), (1159, 1), (1161, 1), (1163, 3), (1498, 1), (1499, 1), (1502, 1), (1506, 1), (1607, 1), (1747, 1), (1748, 1), (1779, 1), (1824, 1), (1904, 3), (2126, 1), (2142, 1), (2196, 1), (2212, 1), (2466, 1), (2716, 1), (2734, 1), (2753, 1), (3121, 1), (3927, 1), (3986, 1), (4466, 1), (4510, 1), (5100, 1), (5285, 1), (6351, 3), (6702, 1), (7276, 1), (8000, 1), (8517, 2), (8693, 2), (8791, 1), (9285, 1), (9711, 1), (9714, 2), (9728, 3), (9734, 1), (9750, 1), (9751, 1), (9752, 1), (9753, 1), (9754, 1), (9755, 2), (9756, 1), (9757, 1), (9758, 1), (9759, 1), (9760, 1), (9761, 2), (9762, 1), (9763, 1), (9764, 1), (9765, 1), (9766, 1), (9767, 1), (9768, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (23, 2), (25, 4), (30, 1), (31, 1), (50, 2), (53, 5), (54, 1), (55, 1), (58, 2), (65, 1), (88, 1), (90, 3), (96, 1), (111, 1), (117, 1), (172, 1), (173, 2), (195, 1), (203, 1), (217, 1), (218, 1), (232, 1), (260, 1), (281, 1), (293, 1), (306, 1), (328, 1), (388, 1), (404, 1), (452, 1), (599, 1), (706, 1), (743, 1), (1161, 1), (1248, 1), (1269, 1), (1529, 1), (1824, 1), (1904, 1), (2117, 1), (2193, 1), (2884, 1), (2985, 1), (3140, 1), (3418, 1), (3525, 1), (4146, 1), (4509, 1), (5288, 1), (5668, 1), (6413, 1), (6519, 1), (9728, 1), (9754, 1), (9769, 1), (9770, 1), (9771, 1), (9772, 1), (9773, 1), (9774, 1)], [(7, 1), (8, 1), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (65, 2), (77, 1), (82, 1), (90, 1), (95, 1), (97, 1), (214, 1), (215, 1), (293, 1), (301, 1), (306, 1), (419, 2), (459, 1), (504, 1), (518, 1), (834, 1), (1824, 1), (1904, 1), (3342, 1), (3955, 1), (4081, 1), (5256, 1), (5926, 1), (6413, 1), (9175, 2), (9266, 1), (9714, 1), (9775, 1), (9776, 1), (9777, 1), (9778, 1), (9779, 1), (9780, 1), (9781, 1), (9782, 1)], [(8, 1), (18, 4), (19, 3), (20, 6), (22, 1), (23, 2), (25, 2), (31, 1), (50, 1), (53, 4), (55, 1), (65, 1), (88, 1), (111, 1), (161, 1), (169, 1), (172, 1), (186, 1), (193, 1), (239, 1), (269, 2), (283, 1), (286, 1), (293, 1), (328, 1), (452, 1), (601, 1), (697, 1), (708, 1), (752, 1), (777, 1), (884, 1), (897, 1), (1580, 1), (1600, 1), (1698, 1), (2016, 1), (2344, 1), (2609, 1), (2772, 1), (2839, 1), (3301, 1), (3540, 2), (3614, 1), (3638, 1), (4472, 1), (4854, 1), (5321, 1), (6900, 1), (7260, 1), (8685, 1), (9508, 1), (9608, 1), (9783, 1), (9784, 1), (9785, 1), (9786, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (25, 1), (50, 1), (58, 1), (90, 1), (226, 1), (256, 1), (496, 1), (506, 1), (558, 1), (885, 1), (2466, 1), (2672, 1), (3078, 1), (9787, 1), (9788, 1), (9789, 1)], [(18, 1), (19, 2), (20, 3), (21, 2), (23, 2), (25, 1), (31, 1), (37, 1), (50, 1), (53, 2), (64, 1), (65, 2), (66, 1), (85, 1), (95, 1), (117, 1), (166, 2), (193, 1), (197, 1), (220, 1), (236, 1), (256, 1), (288, 2), (324, 1), (355, 1), (430, 1), (506, 1), (744, 1), (827, 1), (1068, 1), (1113, 1), (1149, 1), (1342, 1), (1580, 1), (1656, 1), (1867, 1), (1997, 1), (2507, 1), (2965, 1), (2967, 1), (3419, 1), (5029, 1), (6715, 1), (7902, 1), (9395, 1), (9790, 1), (9791, 1), (9792, 1), (9793, 1)], [(20, 1), (31, 1), (50, 1), (65, 1), (99, 1), (185, 1), (247, 1), (295, 1), (331, 1), (498, 1), (506, 1), (709, 1), (1361, 1), (2184, 1), (5597, 1), (9794, 1), (9795, 1)], [(8, 1), (19, 2), (22, 2), (25, 2), (31, 2), (45, 1), (50, 2), (53, 1), (55, 2), (161, 1), (220, 1), (323, 1), (324, 1), (706, 1), (709, 1), (1797, 1), (3155, 1), (4199, 1), (4757, 1), (5053, 1), (5942, 1), (9796, 1), (9797, 1), (9798, 1), (9799, 1), (9800, 1), (9801, 1), (9802, 1), (9803, 1), (9804, 1)], [(8, 1), (20, 2), (22, 2), (23, 1), (25, 2), (50, 2), (53, 2), (56, 1), (65, 1), (71, 2), (99, 2), (182, 1), (185, 1), (187, 1), (190, 1), (203, 1), (269, 2), (273, 1), (307, 1), (324, 1), (461, 1), (531, 1), (581, 1), (711, 1), (713, 1), (744, 1), (812, 1), (885, 1), (1122, 1), (1760, 1), (2235, 1), (6213, 1), (9796, 1), (9805, 1), (9806, 1), (9807, 1), (9808, 1), (9809, 1), (9810, 1)], [(8, 1), (37, 1), (193, 1), (206, 1), (214, 1), (3043, 1), (9811, 1), (9812, 1)], [(8, 1), (20, 5), (25, 3), (31, 1), (50, 1), (53, 2), (55, 1), (65, 2), (95, 1), (108, 1), (168, 1), (228, 1), (286, 1), (531, 1), (600, 1), (1762, 1), (1767, 1), (1789, 1), (1984, 1), (2235, 1), (4073, 1), (4686, 1), (6232, 1), (7836, 1), (7888, 1), (8866, 1), (9047, 1), (9813, 1), (9814, 1), (9815, 1), (9816, 1)], [(20, 1), (25, 1), (31, 1), (50, 1), (53, 1), (65, 2), (82, 1), (95, 1), (281, 1), (317, 1), (448, 1), (706, 1), (709, 1), (1377, 1), (2223, 1), (2418, 1), (4209, 1), (5311, 1), (9773, 1), (9817, 1), (9818, 1), (9819, 1), (9820, 1), (9821, 1)], [(20, 2), (25, 1), (64, 1), (130, 1), (247, 1), (338, 1), (357, 1), (414, 1), (583, 1), (1806, 1), (2276, 1), (9822, 1)], [(31, 1), (65, 1), (66, 1), (245, 1), (777, 1), (1020, 1), (1403, 1), (1823, 1), (1998, 1), (5910, 1), (9047, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (31, 2), (34, 1), (37, 1), (50, 1), (53, 2), (55, 1), (64, 2), (65, 2), (82, 2), (88, 1), (90, 2), (91, 1), (187, 1), (214, 1), (215, 1), (285, 1), (293, 1), (355, 1), (450, 1), (482, 1), (548, 1), (711, 2), (744, 1), (833, 1), (834, 1), (1350, 1), (1391, 1), (1488, 1), (1685, 1), (1762, 1), (1767, 1), (1921, 1), (1964, 1), (2015, 1), (2235, 1), (3072, 1), (3255, 1), (3756, 1), (5260, 1), (5360, 1), (6430, 1), (6484, 1), (6886, 1), (6908, 1), (7088, 1), (9823, 1), (9824, 1)], [(18, 1), (19, 1), (20, 2), (22, 3), (31, 1), (37, 1), (53, 1), (65, 1), (77, 1), (90, 1), (96, 1), (172, 1), (214, 1), (301, 1), (450, 1), (711, 1), (834, 1), (897, 1), (1485, 1), (1714, 1), (1823, 1), (2235, 1), (5732, 1), (5788, 1), (7207, 1), (8871, 1), (9825, 1), (9826, 1), (9827, 1), (9828, 1), (9829, 1)], [(8, 1), (65, 1), (172, 1), (193, 1), (264, 1), (450, 1), (530, 1), (1587, 1), (1656, 1), (9830, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (32, 1), (50, 1), (64, 2), (82, 1), (95, 1), (117, 1), (206, 1), (217, 1), (233, 1), (269, 1), (281, 1), (352, 1), (357, 2), (419, 1), (609, 1), (1163, 1), (1248, 1), (1578, 1), (1579, 1), (1824, 1), (1845, 1), (2320, 1), (2887, 1), (3024, 1), (3069, 1), (8343, 1)], [(66, 1), (117, 1), (186, 1), (214, 1), (215, 1), (226, 1), (232, 1), (357, 1), (396, 1), (449, 1), (556, 1), (1632, 1), (3919, 1), (9655, 1)], [(7, 2), (8, 1), (19, 1), (20, 10), (22, 5), (25, 2), (30, 2), (31, 1), (45, 2), (50, 6), (53, 6), (55, 1), (58, 1), (65, 4), (77, 1), (90, 4), (91, 1), (92, 1), (108, 1), (111, 1), (172, 1), (173, 1), (182, 1), (185, 1), (193, 2), (197, 2), (217, 1), (256, 1), (328, 1), (338, 1), (374, 1), (387, 1), (428, 1), (435, 1), (448, 1), (459, 1), (516, 1), (531, 1), (583, 1), (601, 1), (675, 1), (704, 1), (711, 1), (723, 1), (744, 1), (834, 1), (1080, 1), (1098, 1), (1115, 1), (1308, 1), (1348, 1), (1350, 1), (1466, 1), (1499, 1), (1628, 2), (1762, 1), (1767, 1), (1806, 1), (1882, 1), (2344, 1), (2681, 1), (2847, 1), (3132, 2), (3539, 1), (4169, 1), (4360, 1), (4422, 1), (4980, 1), (5410, 1), (5487, 1), (5861, 1), (5956, 1), (6358, 1), (6500, 1), (7078, 1), (8341, 1), (8918, 1), (8989, 1), (9831, 1), (9832, 1), (9833, 1), (9834, 1), (9835, 1), (9836, 1), (9837, 1), (9838, 1), (9839, 1), (9840, 1), (9841, 1), (9842, 1), (9843, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (50, 1), (53, 1), (58, 1), (92, 1), (117, 1), (185, 1), (193, 1), (197, 1), (232, 1), (359, 1), (426, 1), (516, 1), (569, 1), (777, 1), (1122, 1), (1324, 1), (1342, 1), (1596, 1), (2344, 1), (2381, 1), (2866, 1), (4086, 1), (4841, 1), (5200, 1), (5878, 1), (6844, 1), (8352, 1), (9535, 1), (9844, 1), (9845, 1), (9846, 1), (9847, 1), (9848, 1), (9849, 1)], [(7, 3), (8, 1), (18, 1), (20, 4), (22, 2), (31, 1), (32, 1), (50, 1), (53, 3), (77, 1), (90, 1), (109, 2), (112, 1), (245, 1), (268, 1), (332, 1), (351, 1), (365, 2), (505, 2), (709, 1), (1159, 1), (4512, 1), (5173, 1), (5409, 1), (9320, 1), (9850, 1), (9851, 1), (9852, 1)], [(8, 1), (20, 2), (22, 2), (25, 1), (31, 1), (37, 1), (75, 1), (77, 1), (111, 1), (185, 2), (193, 1), (295, 1), (301, 1), (324, 3), (414, 1), (531, 1), (626, 1), (1529, 1), (1799, 1), (1867, 1), (2179, 1), (2318, 1), (3036, 1), (3679, 1), (3745, 1), (3770, 1), (5410, 1), (6058, 1)], [(8, 1), (99, 1), (9415, 1), (9853, 1), (9854, 1), (9855, 1)], [(8, 1), (19, 1), (20, 4), (31, 1), (40, 1), (53, 2), (55, 1), (65, 2), (90, 1), (92, 1), (99, 1), (108, 1), (124, 1), (193, 1), (268, 1), (269, 1), (331, 1), (361, 1), (365, 1), (428, 1), (1010, 1), (1350, 1), (1499, 1), (1588, 1), (1830, 1), (2538, 1), (2967, 1), (3161, 1), (9856, 1), (9857, 1), (9858, 1), (9859, 1)], [(20, 1), (58, 1), (240, 1), (247, 1), (295, 1), (9860, 1), (9861, 1)], [(1544, 1), (9862, 1)], [(8, 1), (24, 1), (65, 1), (9863, 1), (9864, 1)], [(10, 1), (11, 1), (20, 1), (392, 1), (4995, 1), (6664, 1), (7074, 1), (9865, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (45, 1), (50, 1), (53, 4), (54, 2), (65, 1), (82, 1), (90, 1), (122, 1), (215, 1), (269, 1), (334, 1), (337, 2), (1044, 1), (1529, 1), (2064, 1), (2926, 1), (3962, 1), (4210, 1), (4566, 1), (4729, 1), (6112, 1), (6315, 1), (8211, 1), (9613, 1)], [(8, 1), (18, 1), (20, 3), (31, 1), (53, 2), (65, 1), (88, 1), (90, 1), (193, 1), (215, 1), (337, 1), (351, 1), (365, 1), (407, 1), (445, 1), (798, 1), (922, 1), (1520, 1), (2015, 1), (2361, 1), (2873, 1), (3981, 1), (4483, 1), (4787, 1), (9866, 1)], [(8, 1), (19, 2), (20, 6), (25, 1), (37, 1), (45, 4), (50, 1), (51, 1), (53, 1), (54, 1), (55, 1), (90, 1), (173, 1), (215, 1), (281, 1), (293, 1), (459, 1), (516, 1), (711, 1), (777, 1), (979, 1), (1393, 1), (2030, 1), (2305, 1), (2694, 1), (2753, 1), (2812, 1), (3861, 1), (3981, 1), (4481, 1), (5432, 1), (5896, 1), (7362, 1), (8144, 1), (9867, 1), (9868, 1), (9869, 1)], [(8, 1), (20, 4), (21, 1), (22, 1), (25, 1), (34, 1), (40, 1), (45, 1), (50, 1), (53, 1), (65, 3), (90, 1), (99, 2), (236, 1), (269, 1), (278, 1), (281, 1), (285, 1), (328, 1), (441, 1), (1702, 1), (1718, 1), (2318, 2), (3040, 1), (3861, 1), (4142, 1), (5053, 1), (7039, 1), (7226, 1), (9870, 1), (9871, 2), (9872, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (45, 1), (53, 1), (90, 1), (215, 1), (260, 1), (301, 1), (414, 1), (834, 1), (1556, 1), (1656, 1), (1878, 2), (2304, 1), (2622, 1), (2812, 1), (2926, 1), (4145, 1), (4482, 1), (9873, 1)], [(8, 1), (20, 7), (22, 1), (25, 2), (30, 3), (31, 2), (32, 2), (34, 1), (37, 1), (45, 1), (50, 2), (53, 3), (54, 1), (58, 1), (65, 1), (69, 1), (90, 4), (99, 1), (166, 1), (173, 3), (193, 3), (197, 2), (215, 2), (236, 2), (256, 1), (263, 1), (293, 2), (317, 1), (331, 1), (353, 1), (544, 1), (903, 1), (990, 2), (1042, 1), (1309, 1), (2305, 1), (2406, 1), (2785, 1), (3419, 1), (3731, 1), (3842, 1), (6315, 1), (8265, 1), (8456, 1), (8517, 1), (9874, 1)], [(20, 1), (30, 1), (64, 1), (117, 1), (295, 1), (467, 1), (946, 1), (2812, 1), (7411, 1)], [(8, 1), (22, 1), (30, 1), (31, 1), (53, 2), (64, 1), (90, 1), (117, 1), (232, 1), (2900, 1), (7295, 1), (9875, 1), (9876, 1), (9877, 1)], [(66, 1), (71, 1), (85, 1), (117, 1), (1627, 1), (9878, 1)], [(8, 1), (20, 2), (22, 1), (24, 1), (31, 1), (32, 1), (45, 2), (50, 1), (53, 2), (55, 1), (186, 1), (388, 1), (414, 1), (922, 1), (1665, 1), (1718, 1), (1902, 1), (2064, 1), (2196, 1), (2638, 1), (4729, 1), (5065, 1), (5404, 1), (5525, 1), (5704, 1), (6315, 1), (9879, 1)], [(8, 1), (50, 1), (53, 1), (122, 1), (361, 1), (688, 1), (707, 1), (3791, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 3), (25, 2), (45, 1), (53, 2), (55, 1), (65, 1), (75, 1), (173, 2), (269, 1), (328, 1), (426, 1), (428, 1), (790, 1), (1435, 1), (1524, 1), (1693, 1), (2017, 1), (3064, 1), (3638, 1), (4475, 1), (4562, 1), (4950, 1), (4957, 1), (7286, 1), (8320, 1), (9880, 1), (9881, 1)], [(64, 1), (1167, 1), (1178, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (65, 1), (111, 1), (193, 1), (195, 1), (233, 1), (414, 1), (448, 1), (531, 1), (709, 1), (812, 1), (902, 1), (908, 1), (1363, 1), (1572, 1), (3431, 1), (4030, 1), (5409, 1), (5942, 1)], [(8, 1), (64, 1), (1163, 1), (2017, 1), (2608, 1), (4957, 1), (6315, 1), (9882, 1)], [(20, 1), (64, 1), (65, 1), (247, 1), (328, 1), (1334, 1), (1481, 1)], [(310, 1), (702, 1), (1178, 1)], [(8, 1), (18, 2), (20, 7), (22, 1), (25, 4), (30, 2), (45, 3), (53, 5), (55, 1), (77, 1), (82, 3), (108, 1), (109, 1), (117, 1), (173, 1), (186, 1), (215, 1), (224, 1), (232, 1), (261, 1), (281, 1), (309, 1), (337, 1), (399, 1), (420, 1), (459, 3), (709, 1), (777, 1), (897, 1), (1102, 1), (1506, 1), (1590, 1), (1628, 1), (1693, 1), (1732, 1), (2064, 1), (2211, 1), (2304, 1), (2402, 1), (2916, 1), (2967, 1), (3013, 1), (3305, 1), (3378, 1), (3495, 1), (3700, 1), (4302, 1), (4787, 1), (5236, 1), (5638, 1), (6031, 1), (6315, 1), (6358, 1), (7043, 1), (7718, 1), (9883, 1), (9884, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 1), (50, 2), (53, 3), (65, 1), (90, 1), (91, 1), (108, 1), (172, 1), (173, 1), (203, 1), (328, 1), (399, 1), (600, 1), (706, 1), (1057, 1), (1068, 1), (1289, 1), (1350, 1), (1851, 1), (2196, 1), (2874, 1), (2900, 1), (3446, 1), (3469, 1), (3803, 1), (4151, 1), (4292, 1), (4715, 1), (6315, 1), (7295, 1), (7411, 1), (8456, 1), (9885, 1), (9886, 1), (9887, 1)], [(8, 1), (82, 1), (174, 1), (185, 1), (301, 1), (792, 1), (2344, 1)], [(20, 1), (173, 1), (1624, 1), (2418, 1), (2925, 1), (9888, 1)], [(18, 1), (20, 1), (34, 1), (64, 1), (95, 1), (295, 2), (420, 1), (596, 1), (600, 1), (946, 1), (1685, 2)], [(30, 1), (64, 1), (85, 1), (108, 1), (1178, 1), (1341, 1)], [(8, 1), (18, 1), (50, 1), (53, 1), (54, 1), (109, 1), (3262, 1), (3710, 1), (7180, 1), (9889, 1), (9890, 1)], [(64, 1), (1178, 1), (3642, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (31, 1), (45, 2), (53, 1), (55, 1), (91, 1), (97, 1), (293, 1), (347, 1), (428, 1), (976, 1), (1134, 1), (2168, 1), (2925, 1), (4145, 1), (4595, 1), (6315, 1), (6337, 1), (9891, 1), (9892, 1), (9893, 1), (9894, 1)], [(20, 1), (64, 1), (96, 1), (295, 1), (331, 1), (600, 1), (946, 1), (1685, 1), (3134, 1)], [(20, 1), (25, 1), (30, 1), (64, 1), (337, 1), (1178, 1), (1324, 1), (9895, 1)], [(19, 1), (20, 1), (58, 1), (64, 1), (77, 1), (96, 1), (295, 1), (331, 1), (600, 1), (946, 1), (9896, 1), (9897, 1)], [(18, 1), (64, 1), (95, 1), (111, 1), (126, 1), (373, 1), (893, 1), (1178, 1), (1197, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 3), (50, 1), (51, 1), (53, 3), (54, 1), (58, 1), (90, 1), (124, 1), (193, 3), (197, 1), (215, 1), (288, 1), (293, 1), (415, 1), (504, 1), (645, 1), (711, 1), (744, 1), (904, 1), (1129, 1), (1278, 1), (1529, 1), (1719, 1), (2266, 1), (2911, 1), (2934, 1), (4142, 1), (4289, 1), (4387, 1), (4982, 1), (5913, 1), (6220, 1), (8362, 1), (8371, 1), (9898, 1), (9899, 1), (9900, 1), (9901, 1), (9902, 1)], [(18, 1), (20, 7), (25, 1), (31, 1), (32, 1), (37, 1), (45, 1), (55, 1), (58, 1), (65, 2), (69, 1), (75, 1), (91, 1), (186, 1), (215, 1), (269, 1), (301, 1), (459, 1), (711, 1), (1012, 1), (1350, 1), (1458, 1), (1811, 1), (1820, 1), (2418, 1), (2894, 1), (3064, 1), (3391, 1), (3772, 1), (4475, 1), (4950, 1), (6315, 1), (7393, 1), (8337, 1), (9793, 1)], [(8, 1), (18, 1), (32, 1), (64, 1), (65, 1), (95, 1), (172, 1), (295, 1), (307, 1), (317, 1), (410, 1), (506, 1), (691, 1), (778, 1), (1997, 1), (2030, 1), (2849, 1), (9903, 1)], [(247, 1), (295, 1), (1670, 1)], [(34, 1), (50, 1), (117, 1), (185, 1), (295, 1), (946, 1), (1075, 1), (4165, 1), (7643, 1), (8867, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (21, 1), (53, 1), (58, 1), (77, 1), (186, 1), (600, 1), (1198, 1), (1219, 1), (2340, 1), (2541, 1), (3426, 1), (3703, 1), (3879, 1), (4833, 1), (9904, 1)], [(34, 1), (58, 1), (117, 1), (295, 1), (467, 1), (1714, 1)], [(8, 1), (20, 1), (65, 1), (66, 1), (75, 1), (506, 1), (1195, 1), (2745, 1), (3540, 1), (7286, 1), (9905, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (25, 2), (30, 1), (31, 1), (45, 2), (50, 3), (53, 6), (54, 3), (58, 1), (68, 1), (90, 1), (161, 1), (215, 1), (293, 1), (305, 1), (504, 1), (563, 1), (654, 2), (903, 1), (1041, 1), (1377, 1), (1557, 1), (1572, 1), (2271, 1), (2436, 1), (2945, 1), (3061, 1), (3360, 1), (3709, 1), (3797, 1), (3879, 1), (3898, 1), (4165, 1), (5052, 1), (5175, 2), (5298, 1), (5913, 1), (6315, 1), (6495, 1), (7848, 1), (9906, 1), (9907, 1), (9908, 1), (9909, 1), (9910, 1), (9911, 1)], [(18, 4), (20, 7), (21, 1), (22, 1), (25, 2), (31, 2), (45, 1), (50, 3), (53, 5), (55, 5), (64, 1), (65, 4), (75, 1), (90, 2), (95, 3), (109, 1), (172, 1), (173, 2), (185, 1), (269, 1), (292, 1), (295, 4), (317, 1), (360, 1), (392, 1), (415, 1), (433, 1), (506, 3), (778, 3), (824, 1), (922, 1), (1012, 1), (1042, 1), (1088, 1), (1170, 1), (1178, 1), (1248, 1), (1580, 1), (1978, 1), (2756, 1), (3024, 1), (3540, 1), (3573, 1), (4165, 2), (4463, 2), (4568, 1), (4583, 1), (5053, 1), (6495, 1), (7286, 1), (8482, 1), (8867, 1), (9905, 1), (9912, 1), (9913, 1), (9914, 1), (9915, 1), (9916, 1), (9917, 1), (9918, 3), (9919, 2)], [(64, 1), (247, 1), (9133, 1)], [(1178, 1), (9920, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 4), (55, 1), (215, 1), (317, 1), (711, 1), (2039, 1), (2433, 1), (2820, 1), (2925, 1), (4165, 1), (6309, 1), (9921, 1), (9922, 1)], [(8, 1), (18, 2), (20, 2), (23, 1), (53, 1), (64, 2), (95, 2), (117, 1), (122, 1), (173, 1), (215, 1), (232, 1), (273, 1), (310, 1), (392, 1), (778, 2), (1163, 1), (1175, 1), (6031, 1), (6315, 1), (9923, 1)], [(18, 1), (20, 2), (22, 2), (30, 1), (34, 1), (66, 1), (85, 1), (108, 2), (256, 1), (261, 1), (295, 1), (324, 1), (504, 1), (600, 1), (680, 1), (778, 1), (1113, 1), (1170, 1), (2467, 1), (8542, 1), (9924, 1)], [(7, 1), (8, 1), (20, 3), (25, 4), (50, 1), (53, 3), (54, 1), (55, 1), (124, 1), (185, 1), (193, 1), (215, 1), (260, 1), (347, 2), (360, 1), (414, 1), (448, 1), (504, 1), (711, 1), (833, 1), (919, 1), (1088, 1), (1129, 1), (1391, 1), (1529, 1), (2211, 1), (2304, 1), (2656, 1), (2756, 1), (2849, 1), (3448, 1), (3614, 1), (4721, 1), (5053, 1), (5704, 1), (8103, 1), (8140, 1), (9925, 1), (9926, 1), (9927, 1)], [(1, 1), (4, 1), (20, 1), (53, 1), (64, 2), (66, 1), (71, 1), (90, 2), (95, 1), (203, 1), (233, 1), (448, 1), (778, 1), (922, 1), (1163, 1), (1904, 1), (3633, 1), (6315, 1), (8103, 1)], [(1, 1), (4, 1), (64, 1), (946, 1)], [(8, 1), (3176, 1), (6315, 1)], [(20, 1), (53, 1), (64, 1), (95, 1), (295, 1), (778, 1), (897, 1), (946, 1), (1336, 1), (3034, 1), (9928, 1)], [(18, 1), (20, 2), (64, 1), (65, 1), (173, 2), (307, 1), (310, 1), (378, 1), (623, 1), (884, 1), (946, 1), (949, 1), (3495, 1), (9929, 1), (9930, 1)], [(8, 1), (53, 1), (65, 1), (233, 1), (1611, 1), (8101, 1), (9931, 1)], [(18, 2), (20, 5), (25, 1), (64, 2), (108, 1), (173, 1), (225, 1), (233, 1), (260, 1), (278, 1), (331, 1), (452, 1), (678, 1), (946, 1), (1163, 1), (1904, 1), (2185, 1), (3495, 1), (6315, 1), (6333, 1), (8140, 1), (8814, 1), (9932, 1)], [(20, 2), (21, 1), (64, 1), (172, 1), (173, 1), (247, 1), (269, 1), (331, 1), (418, 1), (1248, 1), (5134, 1)], [(18, 2), (20, 5), (21, 2), (25, 2), (30, 5), (31, 1), (37, 1), (45, 1), (64, 1), (65, 2), (71, 1), (75, 1), (98, 1), (108, 1), (215, 1), (228, 1), (278, 1), (516, 2), (1102, 1), (1122, 2), (1163, 1), (1198, 3), (1904, 1), (2178, 1), (2320, 1), (2734, 1), (2925, 1), (3614, 1), (5196, 1), (9754, 1), (9933, 1), (9934, 1), (9935, 1), (9936, 1), (9937, 1), (9938, 1), (9939, 1)], [(64, 1), (1178, 1), (9940, 1)], [(8, 1), (18, 5), (20, 9), (22, 2), (25, 3), (30, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 2), (64, 1), (65, 2), (77, 1), (84, 1), (173, 1), (215, 1), (269, 1), (334, 1), (337, 1), (516, 2), (694, 1), (778, 1), (1361, 1), (2718, 1), (2925, 1), (2985, 1), (3269, 1), (3450, 1), (3614, 1), (3737, 1), (4390, 3), (5880, 1), (6315, 1), (6359, 1), (6509, 1), (7344, 1), (7688, 1), (8103, 1), (8140, 1), (8814, 1), (9930, 1), (9941, 1), (9942, 1), (9943, 1), (9944, 1), (9945, 1), (9946, 1)], [(25, 1), (247, 1), (2478, 1), (5199, 1)], [(1, 3), (4, 3), (20, 1), (21, 2), (58, 1), (77, 1), (172, 1), (182, 1), (295, 1), (600, 1), (1178, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (37, 1), (45, 1), (53, 1), (55, 3), (64, 1), (97, 1), (193, 1), (217, 1), (233, 1), (236, 1), (256, 1), (323, 1), (347, 1), (903, 1), (1163, 1), (1348, 1), (1477, 1), (1820, 1), (1904, 1), (2202, 1), (2344, 1), (2983, 1), (3305, 1), (3448, 1), (6005, 1), (6048, 1), (6315, 1), (7286, 1), (7295, 1), (7411, 1), (9947, 1)], [(1, 2), (4, 2), (20, 1), (21, 1), (23, 1), (50, 1), (54, 1), (58, 1), (64, 1), (82, 1), (90, 1), (172, 1), (256, 1), (708, 1), (946, 1), (1904, 1), (2030, 1), (2354, 1), (3638, 1), (4841, 1), (6315, 1)], [(64, 1), (90, 1), (245, 1), (772, 1), (946, 1), (2010, 1)], [(1, 2), (4, 2), (8, 1), (19, 1), (20, 3), (22, 4), (23, 1), (32, 1), (37, 1), (54, 1), (58, 1), (64, 1), (90, 2), (185, 1), (414, 1), (443, 1), (506, 2), (800, 1), (893, 1), (897, 1), (1122, 1), (1580, 1), (1624, 1), (2925, 1), (4390, 1), (4939, 1), (6315, 1), (6684, 1), (7286, 1), (8317, 1), (9948, 1)], [(18, 2), (20, 5), (22, 1), (29, 1), (50, 1), (55, 1), (64, 1), (65, 1), (90, 1), (107, 1), (173, 1), (247, 1), (516, 1), (1163, 1), (2390, 1), (2456, 1), (3176, 1), (4390, 2), (4939, 2), (7917, 1), (8115, 1), (9949, 1)], [(18, 2), (22, 1), (25, 1), (40, 1), (50, 1), (54, 1), (58, 1), (90, 2), (95, 1), (108, 1), (178, 1), (353, 1), (361, 1), (506, 2), (778, 1), (1178, 1), (5699, 1), (6685, 1), (9950, 1), (9951, 1)], [(20, 2), (55, 1), (64, 1), (85, 1), (173, 1), (247, 1), (392, 1), (2157, 1), (2479, 1), (3176, 1), (3468, 1), (4390, 1), (4939, 1), (9149, 1), (9952, 1), (9953, 1)], [(8, 1), (20, 3), (23, 2), (25, 4), (30, 2), (53, 2), (117, 2), (186, 1), (232, 1), (307, 1), (691, 1), (1122, 4), (2061, 1), (2207, 1), (2253, 1), (2854, 1), (3642, 1), (6608, 1), (9954, 1), (9955, 1), (9956, 1)], [(20, 1), (77, 1), (96, 1), (108, 1), (172, 1), (185, 1), (247, 1), (295, 1), (331, 1), (600, 1), (3484, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (37, 1), (50, 2), (85, 1), (90, 1), (95, 1), (168, 1), (173, 1), (405, 1), (414, 1), (432, 2), (676, 1), (777, 1), (778, 1), (1021, 1), (1057, 1), (1266, 1), (2253, 1), (2401, 1), (2479, 1), (8918, 1)], [(20, 3), (32, 1), (58, 1), (190, 1), (273, 1), (295, 2), (414, 1), (596, 1), (600, 1), (1354, 1), (1714, 1), (6544, 1)], [(23, 1), (66, 1), (295, 1), (342, 1), (1170, 1), (1685, 1), (4146, 1)], [(20, 1), (64, 1), (1178, 1), (4390, 1), (4939, 1)], [(1, 1), (4, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (51, 1), (53, 3), (64, 1), (95, 1), (108, 2), (126, 1), (220, 1), (392, 1), (645, 1), (775, 1), (778, 1), (1178, 1), (1278, 1), (1379, 1), (2467, 2), (2820, 1), (3176, 1), (3480, 1), (9957, 1)], [(8, 1), (19, 1), (25, 1), (64, 1), (173, 1), (295, 1), (332, 1), (903, 1), (1163, 1), (1350, 2), (7083, 1), (9902, 1), (9949, 1)], [(8, 1), (20, 1), (64, 1), (295, 1), (332, 1), (600, 1), (7083, 1)], [(247, 1), (9958, 1)], [(8, 1), (50, 1), (53, 1), (287, 1), (334, 1), (2813, 1), (5888, 1), (9959, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (82, 1), (95, 1), (96, 1), (117, 1), (174, 1), (185, 1), (232, 1), (301, 1), (357, 1), (410, 1), (778, 1), (1195, 1), (1714, 1), (2253, 1), (2977, 1), (6324, 1), (7286, 1)], [(1, 1), (4, 1), (82, 1), (108, 1), (556, 1), (946, 1), (3465, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 2), (25, 1), (31, 1), (45, 1), (50, 2), (53, 3), (58, 1), (64, 1), (82, 1), (108, 2), (117, 1), (187, 1), (226, 1), (232, 1), (242, 1), (256, 1), (278, 1), (360, 1), (419, 1), (426, 1), (504, 1), (693, 1), (697, 1), (1088, 1), (1580, 1), (1904, 1), (2245, 1), (2478, 1), (2627, 1), (3036, 1), (3465, 1), (3523, 1), (3899, 1), (5611, 1), (6315, 1), (7415, 1)], [(20, 1), (58, 1), (190, 1), (228, 1), (245, 1), (260, 1), (357, 1), (504, 1), (1347, 1), (1714, 1), (1904, 1), (3899, 1), (4841, 1), (6064, 1), (6299, 1), (6315, 1), (7181, 1)], [(31, 1), (58, 1), (66, 1), (82, 1), (84, 1), (190, 1), (245, 1), (289, 1), (1361, 1), (3124, 1), (3174, 1)], [(64, 1), (247, 1), (1361, 1), (3174, 1)], [(247, 1), (9960, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (301, 1), (357, 1), (702, 1), (884, 1), (5743, 1), (7286, 1), (8345, 1), (9957, 1), (9961, 1)], [(7, 1), (18, 1), (19, 2), (20, 6), (22, 1), (25, 1), (50, 1), (53, 3), (55, 1), (58, 1), (65, 1), (71, 1), (90, 1), (117, 1), (172, 1), (190, 1), (197, 1), (232, 1), (245, 1), (269, 1), (334, 2), (450, 1), (498, 1), (506, 1), (531, 1), (645, 1), (869, 1), (897, 1), (1178, 1), (1248, 1), (1580, 1), (1595, 1), (2137, 1), (2145, 1), (2321, 1), (3124, 1), (3745, 1), (3899, 1), (4313, 1), (5178, 1), (5878, 1), (9459, 1), (9962, 1), (9963, 1), (9964, 1), (9965, 1), (9966, 1)], [(20, 1), (36, 1), (45, 1), (64, 2), (90, 1), (96, 1), (108, 1), (117, 1), (232, 1), (1163, 1), (1714, 1), (2900, 1), (2995, 1), (7295, 1), (9967, 1)], [(20, 1), (58, 1), (66, 1), (256, 1), (407, 1), (587, 1), (1797, 1), (4835, 1), (9968, 1)], [(18, 1), (64, 1), (414, 1), (1178, 1), (9115, 1), (9443, 1), (9969, 1)], [(20, 1), (64, 1), (90, 1), (109, 1), (245, 1), (247, 1), (2353, 1), (2925, 1), (6904, 1), (7286, 1), (9970, 1), (9971, 1)], [(247, 1), (9972, 1)], [(18, 1), (20, 2), (55, 1), (66, 1), (71, 1), (387, 1), (553, 1), (675, 1), (1904, 1), (6315, 1), (7912, 1), (9443, 1), (9973, 1)], [(8, 1), (21, 1), (53, 1), (64, 1), (295, 1), (884, 1), (1458, 1), (1824, 1), (5743, 1), (8345, 1), (8598, 1)], [(8, 1), (20, 2), (214, 1), (215, 1), (256, 1), (645, 1), (2681, 1), (2849, 1), (9974, 1), (9975, 1), (9976, 1)], [(8, 1), (20, 2), (21, 2), (31, 2), (50, 1), (53, 4), (109, 1), (256, 1), (301, 1), (328, 1), (387, 1), (448, 1), (672, 1), (686, 1), (1041, 1), (1129, 1), (1702, 1), (2039, 1), (2258, 1), (3041, 1), (5600, 1), (6183, 1), (6313, 1), (9317, 1), (9977, 1), (9978, 1), (9979, 1), (9980, 1), (9981, 1)], [(20, 1), (53, 1), (92, 1), (190, 1), (247, 1), (327, 2), (645, 1), (869, 1), (6313, 1)], [(7, 1), (53, 2), (92, 1), (581, 1), (1347, 1), (1714, 1), (2487, 1), (2688, 1), (5100, 1), (5409, 1), (7013, 1), (9982, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (77, 1), (90, 1), (95, 1), (506, 2), (553, 1), (707, 1), (778, 1), (2688, 1), (9983, 1)], [(8, 1), (23, 1), (117, 1), (232, 1), (328, 1), (342, 1), (1243, 1), (2400, 1), (3771, 1)], [(8, 1), (117, 1), (301, 1), (1176, 1), (1966, 1)], [(8, 1), (20, 1), (22, 2), (23, 1), (30, 1), (31, 1), (34, 1), (36, 1), (55, 1), (58, 1), (173, 1), (506, 2), (531, 1), (3916, 1), (5712, 1), (9850, 1), (9984, 1), (9985, 1), (9986, 1), (9987, 1)], [(8, 1), (20, 2), (22, 1), (23, 2), (25, 1), (30, 1), (53, 2), (71, 2), (77, 1), (90, 1), (95, 2), (96, 1), (111, 1), (190, 1), (281, 1), (387, 1), (658, 1), (778, 2), (5159, 1), (6194, 1), (8039, 1), (9850, 1), (9988, 2), (9989, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (50, 1), (53, 1), (58, 1), (82, 1), (117, 1), (327, 1), (504, 1), (506, 2), (645, 1), (1075, 1), (3426, 1), (6291, 1), (9990, 1), (9991, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 1), (37, 1), (40, 1), (50, 1), (53, 2), (77, 1), (90, 1), (166, 2), (286, 1), (328, 1), (354, 1), (415, 1), (605, 1), (777, 1), (813, 1), (897, 1), (1685, 2), (3053, 1), (3426, 1), (9992, 1), (9993, 1), (9994, 1), (9995, 1)], [(8, 1), (20, 2), (77, 1), (82, 1), (90, 1), (260, 1), (301, 1), (354, 1), (645, 1), (811, 1), (1580, 1), (3053, 1)], [(117, 1), (232, 1), (506, 1), (777, 1), (1714, 1), (2010, 1)], [(8, 1), (268, 1), (4993, 1), (5114, 1), (9996, 1)], [(220, 1), (247, 1), (708, 1), (1755, 1), (4386, 1)], [(18, 1), (77, 1), (117, 1), (124, 1), (247, 1), (833, 1), (4063, 1), (6805, 1), (9997, 1), (9998, 1), (9999, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (25, 1), (65, 1), (225, 1), (241, 1), (245, 1), (293, 1), (357, 1), (1580, 1), (2325, 1), (3545, 1), (10000, 1), (10001, 1), (10002, 1), (10003, 1)], [(8, 1), (20, 3), (31, 1), (77, 1), (90, 1), (96, 1), (233, 1), (295, 1), (301, 1), (387, 1), (1170, 1), (1392, 1), (3545, 1), (7286, 1), (10004, 1)], [(8, 1), (109, 1), (214, 2), (282, 1), (283, 1), (351, 1), (600, 1), (2002, 1), (2436, 1), (3121, 1)], [(8, 1), (19, 1), (23, 1), (82, 1), (245, 1), (2374, 1), (10005, 1)], [(8, 1), (58, 1), (287, 1), (496, 1)], [(247, 1), (1670, 1)], [(7, 1), (8, 1), (20, 1), (21, 1), (34, 1), (50, 1), (53, 1), (672, 1), (1729, 1), (3404, 1), (3426, 1), (3949, 1), (5294, 1), (5952, 1), (9020, 1), (10006, 1), (10007, 1)], [(20, 2), (21, 1), (22, 1), (24, 1), (25, 3), (53, 2), (90, 1), (108, 1), (247, 1), (262, 1), (268, 1), (487, 1), (505, 1), (691, 1), (711, 1), (3476, 1), (4082, 1), (5203, 1), (5592, 1), (7847, 1), (10008, 1), (10009, 1), (10010, 1)], [(20, 2), (24, 1), (53, 1), (247, 1), (645, 1), (1506, 2)], [(20, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 1), (55, 1), (82, 1), (95, 1), (185, 1), (269, 1), (711, 1), (1196, 1), (1714, 1), (1715, 1), (6315, 1)], [(247, 1), (4706, 1), (7295, 1)], [(173, 1), (247, 1), (4850, 1)], [(247, 1), (1729, 1), (4706, 1), (10011, 1)], [(8, 1), (19, 1), (50, 1), (58, 1), (173, 1), (342, 1), (10012, 1)], [(20, 2), (53, 1), (186, 1), (247, 1), (269, 1), (1072, 1), (1909, 1), (2676, 1), (4841, 1), (4890, 1), (5445, 1), (7286, 1), (7363, 1), (10013, 1)], [(58, 1), (77, 1), (96, 1), (331, 1), (1714, 1)], [(8, 1), (58, 1), (10014, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (108, 1), (117, 1), (256, 1), (268, 1), (327, 1), (2912, 1), (4151, 1), (5816, 1), (7286, 1), (8918, 1), (10015, 1)], [(58, 1), (77, 1), (124, 1), (596, 1), (1714, 1)], [(18, 1), (20, 4), (37, 1), (50, 1), (53, 1), (65, 1), (75, 1), (82, 1), (85, 1), (173, 1), (178, 1), (185, 1), (190, 1), (197, 1), (225, 1), (269, 1), (420, 1), (454, 1), (626, 1), (897, 1), (1000, 1), (1361, 1), (1379, 1), (1714, 1), (4549, 1), (7415, 1), (9551, 1), (10016, 1), (10017, 1), (10018, 1)], [(247, 1), (2058, 1)], [(22, 1), (23, 1), (34, 1), (245, 1), (247, 1), (10019, 1), (10020, 1)], [(53, 1), (245, 1), (247, 1), (4646, 1), (10021, 1)], [(20, 2), (247, 1), (256, 1), (886, 1), (3606, 1), (3786, 1), (4390, 1), (4939, 1)], [(8, 1), (20, 2), (245, 1), (897, 1), (2654, 1), (3710, 1), (3988, 1), (4841, 1)], [(8, 1), (10, 1), (11, 1), (20, 1), (31, 1), (45, 1), (58, 1), (109, 1), (173, 1), (225, 1), (1528, 1), (1580, 1), (1897, 1), (5681, 1), (6744, 1), (9537, 1), (10022, 1), (10023, 1)], [(20, 1), (22, 1), (32, 2), (66, 1), (77, 1), (506, 1), (654, 1), (1072, 1), (2495, 1), (7286, 1), (10024, 1), (10025, 1)], [(37, 1), (64, 1), (332, 1), (434, 1), (506, 1), (1178, 1), (2515, 2), (3786, 1)], [(8, 1), (20, 1), (563, 1), (7286, 1), (7414, 1)], [(8, 1), (18, 1), (20, 3), (22, 3), (31, 3), (45, 2), (50, 3), (53, 10), (82, 1), (108, 1), (109, 1), (193, 1), (215, 1), (301, 1), (305, 1), (313, 1), (450, 1), (765, 1), (792, 1), (809, 1), (1013, 1), (1416, 1), (1572, 1), (1797, 1), (1813, 1), (1824, 3), (1867, 1), (1911, 3), (2366, 1), (3918, 1), (5492, 1), (5921, 1), (6315, 1), (7358, 1), (8247, 1), (8289, 1), (9847, 1), (10026, 1), (10027, 1), (10028, 1), (10029, 1), (10030, 1)], [(8, 1), (22, 4), (25, 1), (50, 1), (53, 5), (55, 1), (85, 1), (117, 1), (186, 1), (215, 1), (232, 1), (261, 1), (286, 1), (307, 1), (414, 1), (505, 1), (709, 1), (996, 1), (1324, 1), (1458, 1), (1813, 1), (2163, 1), (2760, 1), (3283, 1), (3918, 1), (4349, 1), (5056, 1), (5921, 1), (7286, 1), (10031, 1), (10032, 1), (10033, 1)], [(20, 1), (25, 1), (247, 1), (295, 1), (2058, 1), (10034, 1), (10035, 1)], [(82, 1), (295, 2), (420, 1), (702, 1), (1714, 1), (2149, 1), (5331, 1)], [(20, 1), (214, 1), (247, 1), (295, 2), (301, 1), (833, 1), (1964, 1), (2601, 1), (10035, 1), (10036, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (82, 1), (109, 1), (215, 1), (289, 1), (293, 1), (388, 1), (487, 1), (654, 1), (1742, 1), (10036, 1), (10037, 1), (10038, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (53, 1), (55, 1), (84, 1), (206, 1), (286, 1), (414, 1), (434, 2), (827, 1), (884, 1), (1702, 1), (2621, 1), (8980, 1), (10039, 1), (10040, 1), (10041, 1)], [(24, 1), (64, 1), (247, 1), (2813, 1)], [(53, 1), (1178, 1), (2813, 1)], [(8, 1), (2925, 1), (6315, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (53, 2), (91, 1), (173, 1), (450, 1), (775, 1), (1313, 1), (1574, 1), (4562, 1), (9545, 1), (9912, 1), (10042, 1), (10043, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (30, 1), (31, 1), (45, 3), (50, 2), (53, 4), (55, 2), (91, 1), (108, 1), (117, 1), (173, 1), (193, 1), (197, 1), (232, 1), (307, 1), (450, 3), (531, 1), (632, 1), (645, 1), (707, 1), (709, 1), (1122, 1), (1248, 1), (1354, 1), (1506, 1), (1529, 1), (1570, 1), (2100, 1), (2157, 1), (2296, 2), (2656, 1), (2718, 1), (2719, 1), (2916, 1), (3305, 1), (3934, 1), (5247, 1), (7315, 1), (7383, 1), (10044, 1), (10045, 1)], [(20, 3), (22, 1), (31, 1), (45, 1), (50, 3), (53, 5), (173, 1), (193, 1), (215, 1), (220, 1), (247, 1), (256, 1), (261, 2), (301, 1), (414, 1), (450, 2), (706, 1), (834, 1), (1267, 1), (1476, 1), (2168, 1), (2270, 1), (2637, 1), (3118, 1), (5804, 1), (8127, 1), (10046, 1), (10047, 1), (10048, 1), (10049, 1)], [(8, 1), (19, 1), (50, 1), (53, 2), (394, 1), (428, 1), (1308, 1), (3524, 1), (4977, 1), (10050, 1)], [(25, 1), (64, 1), (1178, 1), (4778, 1), (10051, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (173, 1), (2925, 1), (3324, 1), (3378, 1), (6060, 1), (10052, 1), (10053, 1), (10054, 1)], [(8, 1), (24, 1), (32, 1), (64, 1), (70, 1), (1506, 1), (5679, 1)], [(20, 1), (55, 1), (58, 1), (247, 1), (1122, 1), (10055, 1)], [(8, 1), (20, 1), (21, 1), (22, 1), (117, 2), (174, 1), (215, 1), (232, 1), (600, 1), (1176, 1), (3425, 1), (10056, 1), (10057, 1), (10058, 1), (10059, 1), (10060, 1)], [(8, 1), (20, 1), (22, 1), (58, 1), (241, 1), (293, 1), (378, 1), (1122, 1), (10061, 1)], [(8, 1), (22, 1), (31, 1), (53, 1), (65, 1), (85, 1), (122, 1), (193, 1), (220, 1), (295, 1), (366, 1), (5739, 1), (7127, 1), (10062, 1)], [(8, 1), (22, 1), (69, 1), (2013, 1), (3181, 1), (10063, 1)], [(8, 1), (20, 1), (58, 2), (185, 1), (658, 1), (697, 2), (2348, 1), (3036, 1)], [(18, 1), (21, 1), (58, 1), (117, 1), (226, 1), (232, 1), (247, 1), (506, 1), (1797, 1), (10064, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (53, 1), (77, 1), (170, 1), (293, 1), (295, 1), (505, 1), (609, 1), (1470, 1), (2249, 1), (10042, 1), (10065, 1)], [(20, 1), (247, 1), (9958, 1), (10066, 1)], [(8, 1), (20, 1), (32, 1), (64, 1), (1580, 1), (10067, 1), (10068, 1)], [(8, 1), (18, 1), (20, 5), (22, 3), (23, 2), (25, 3), (31, 2), (37, 1), (50, 1), (55, 2), (90, 1), (172, 1), (185, 1), (295, 4), (307, 1), (324, 2), (328, 1), (448, 1), (506, 3), (507, 1), (775, 1), (800, 1), (813, 1), (830, 1), (1122, 1), (1580, 1), (2719, 1), (2934, 1), (3934, 1), (4155, 1), (5491, 1), (6268, 1), (6892, 1), (7315, 1), (8017, 1), (10069, 1), (10070, 1), (10071, 1), (10072, 1)], [(20, 1), (21, 1), (34, 1), (90, 1), (99, 1), (190, 1), (247, 1), (600, 1), (1824, 1), (2379, 1), (4942, 1)], [(20, 1), (626, 1), (702, 1), (1714, 1), (1858, 1)], [(8, 1), (82, 1), (702, 1), (2954, 1), (4793, 1), (10073, 1)], [(8, 1), (58, 1), (506, 1), (10064, 1)], [(8, 1), (20, 4), (21, 1), (32, 1), (82, 1), (117, 2), (185, 1), (247, 1), (347, 1), (357, 2), (459, 1), (742, 1), (759, 1), (1324, 1), (1458, 1), (1845, 1), (10042, 1), (10043, 1), (10074, 1), (10075, 1), (10076, 1), (10077, 1)], [(20, 1), (64, 1), (247, 1), (295, 1), (3934, 1), (10078, 1)], [(8, 1), (263, 1), (307, 1), (324, 1), (506, 1), (2719, 1), (8700, 1)], [(247, 1), (2013, 1), (3181, 1)], [(53, 1), (66, 1), (496, 1), (506, 1), (3641, 1), (4865, 1)], [(8, 1), (19, 2), (20, 5), (22, 3), (25, 1), (53, 1), (55, 1), (91, 1), (109, 2), (173, 1), (193, 1), (224, 1), (241, 1), (293, 1), (450, 1), (1069, 1), (1248, 1), (1529, 1), (1553, 1), (1856, 1), (2230, 1), (2271, 1), (2611, 1), (2719, 1), (3091, 1), (3564, 1), (4795, 1), (6513, 1), (6631, 1), (7286, 1), (7295, 2), (7397, 1), (7411, 1), (7501, 1), (8080, 1)], [(7, 1), (8, 1), (20, 3), (45, 1), (50, 1), (53, 2), (91, 1), (122, 1), (172, 1), (173, 1), (215, 1), (229, 1), (285, 1), (388, 1), (428, 1), (448, 1), (505, 1), (903, 1), (922, 1), (1102, 1), (1748, 1), (2161, 1), (2389, 1), (2548, 1), (2883, 1), (7166, 1), (10079, 1), (10080, 1), (10081, 1), (10082, 1), (10083, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (45, 1), (276, 1), (307, 1), (1248, 1), (1466, 1), (3934, 1), (5065, 1), (10084, 1), (10085, 1)], [(8, 1), (22, 1), (25, 1), (30, 1), (50, 1), (53, 1), (109, 1), (220, 1), (1415, 1), (2304, 1), (3418, 1), (4100, 1), (4286, 1), (7286, 1), (7295, 1), (7411, 1)], [(64, 1), (359, 1), (1178, 1), (1823, 1)], [(8, 1), (20, 2), (22, 1), (64, 1), (117, 1), (240, 1), (256, 1), (1176, 1), (2925, 1), (6315, 1), (10086, 1)], [(8, 1), (20, 2), (53, 1), (65, 1), (85, 1), (88, 1), (109, 1), (229, 1), (256, 1), (263, 1), (286, 1), (295, 1), (347, 1), (387, 1), (506, 1), (740, 1), (776, 1), (792, 1), (897, 1), (1248, 1), (1499, 1), (2495, 1), (2654, 1), (3737, 1), (10087, 1), (10088, 1)], [(8, 1), (20, 2), (58, 1), (172, 1), (278, 1), (285, 1), (295, 1), (893, 1), (5011, 1), (10089, 1)], [(8, 1), (58, 1), (82, 1), (295, 1), (4839, 1), (10089, 1)], [(247, 1), (2719, 1), (8465, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (23, 1), (25, 1), (32, 1), (295, 2), (328, 1), (331, 1), (407, 1), (775, 1), (1248, 3), (1580, 2), (1685, 1), (1921, 1), (2745, 1), (3560, 1), (3934, 1), (8008, 1), (9866, 1), (10090, 1), (10091, 1), (10092, 1), (10093, 1)], [(53, 1), (1714, 1), (6484, 1), (10094, 1)], [(20, 2), (45, 1), (50, 1), (53, 2), (108, 1), (334, 1), (420, 1), (596, 1), (704, 1), (1714, 1), (3898, 1), (10095, 1), (10096, 1), (10097, 1), (10098, 1), (10099, 1)], [(20, 1), (247, 1), (1580, 1), (1583, 1), (4167, 1), (10100, 1)], [(8, 1), (19, 1), (20, 1), (58, 1), (229, 1), (292, 1), (295, 1), (324, 1), (2654, 1), (5416, 1), (9284, 1)], [(8, 1), (22, 1), (23, 1), (58, 1), (82, 1), (190, 1), (295, 2), (902, 1), (1685, 1)], [(20, 1), (25, 1), (53, 1), (295, 1), (324, 1), (775, 1), (1178, 1), (5888, 1), (9590, 1), (10101, 1), (10102, 1)], [(8, 1), (20, 5), (30, 1), (32, 1), (50, 1), (53, 3), (55, 1), (174, 1), (186, 1), (307, 1), (448, 1), (450, 1), (704, 1), (775, 1), (902, 1), (1248, 2), (1596, 1), (2296, 1), (2718, 1), (2734, 1), (2978, 1), (4681, 1), (5578, 1), (8957, 1), (10103, 1)], [(55, 1), (64, 1), (82, 1), (90, 1), (247, 1), (506, 1), (988, 1), (1992, 1), (10104, 1)], [(22, 1), (91, 2), (247, 1), (777, 1), (3071, 1), (10105, 1)], [(53, 1), (82, 1), (295, 1), (1714, 1), (2862, 1), (3034, 1), (10106, 1)], [(53, 1), (186, 1), (247, 1), (10107, 1), (10108, 1)], [(8, 1), (20, 3), (22, 1), (32, 1), (65, 1), (241, 1), (293, 1), (295, 1), (7506, 1), (10109, 1), (10110, 1)], [(24, 1), (247, 1), (10070, 1)], [(22, 1), (23, 1), (88, 1), (91, 2), (1178, 1), (1529, 1), (1867, 1), (9497, 1)], [(8, 1), (19, 1), (20, 2), (53, 4), (55, 1), (109, 2), (173, 1), (269, 1), (415, 1), (1557, 1), (1764, 1), (1943, 1), (2259, 1), (2548, 1), (4652, 1), (6504, 1), (10043, 1), (10111, 1), (10112, 1)], [(8, 1), (19, 1), (20, 2), (64, 1), (295, 1), (346, 1), (800, 1), (1248, 2)], [(53, 1), (247, 1), (9554, 1), (10113, 1), (10114, 1)], [(8, 1), (19, 1), (20, 1), (32, 1), (91, 1), (185, 1), (214, 1), (295, 1), (323, 1), (353, 1), (10115, 1), (10116, 1), (10117, 1), (10118, 1)], [(247, 1), (2379, 1)], [(247, 1), (7286, 1)], [(53, 1), (77, 1), (247, 1), (256, 1), (3181, 1), (9977, 1)], [(8, 1), (19, 1), (32, 1), (58, 1), (274, 1), (281, 1), (3426, 1), (9558, 1), (10119, 1), (10120, 1)], [(20, 1), (247, 1), (295, 1), (775, 1), (10051, 1)], [(1, 1), (4, 1), (19, 1), (20, 1), (21, 1), (25, 1), (53, 1), (90, 1), (117, 1), (232, 1), (247, 1), (295, 1), (600, 1), (645, 1), (1328, 1), (2478, 1), (5679, 1), (6492, 1), (10121, 1), (10122, 1)], [(1, 1), (4, 1), (19, 1), (20, 1), (37, 1), (45, 1), (82, 1), (332, 1), (419, 1), (434, 1), (504, 1), (983, 1), (1178, 1), (1685, 1), (7415, 2)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (24, 1), (25, 2), (53, 2), (55, 1), (95, 1), (174, 1), (305, 1), (310, 1), (459, 2), (778, 1), (981, 1), (988, 1), (2805, 1), (4782, 1), (8580, 1), (9152, 1), (9588, 1), (10123, 1), (10124, 1), (10125, 1)], [(8, 1), (20, 2), (25, 2), (2406, 1), (7286, 1), (10126, 1), (10127, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (25, 2), (37, 1), (45, 2), (53, 3), (75, 1), (91, 1), (124, 1), (388, 1), (399, 1), (420, 1), (711, 1), (1081, 1), (1506, 1), (1752, 1), (2348, 1), (4481, 1), (4510, 1), (4659, 1), (4729, 1), (5170, 1), (6196, 1), (6315, 1), (6845, 1), (8965, 1), (10043, 1)], [(1544, 1), (10128, 1)], [(8, 1), (10129, 1)], [(8, 1), (20, 1), (22, 2), (439, 2), (466, 1), (540, 1), (6664, 1), (10130, 1), (10131, 1), (10132, 1), (10133, 1), (10134, 1), (10135, 1), (10136, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 2), (25, 1), (33, 1), (117, 1), (752, 1), (778, 1), (984, 1), (1139, 1), (1229, 1), (3404, 1), (3810, 1), (4652, 1), (10137, 1), (10138, 1)], [(8, 1), (19, 1), (22, 2), (23, 1), (24, 1), (91, 1), (256, 1), (498, 1), (763, 1), (1580, 1), (4778, 1), (5058, 1), (5157, 1), (10139, 1), (10140, 1), (10141, 1), (10142, 1)], [(7, 1), (8, 1), (20, 2), (40, 1), (53, 1), (65, 1), (117, 1), (232, 1), (282, 1), (284, 1), (435, 1), (516, 1), (10042, 1), (10106, 1), (10143, 1), (10144, 1), (10145, 1)], [(8, 1), (24, 1), (53, 1), (1806, 1), (4165, 1), (5053, 1), (10146, 1)], [(21, 2), (22, 1), (24, 1), (109, 1), (186, 1), (247, 1), (310, 1), (378, 1), (1076, 1), (1580, 1), (1628, 1), (3426, 1), (6261, 1), (7970, 1), (10147, 1), (10148, 1)], [(8, 1), (55, 1), (1132, 1), (1159, 1), (1322, 1), (2189, 1), (10149, 1)], [(20, 2), (23, 1), (53, 1), (90, 1), (278, 1), (897, 1), (1714, 1), (2909, 1), (3378, 1), (4311, 1), (5391, 1)], [(8, 1), (50, 1), (185, 1), (10150, 1), (10151, 1), (10152, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (23, 2), (34, 1), (53, 1), (55, 1), (58, 1), (77, 1), (82, 1), (90, 3), (228, 1), (256, 1), (262, 1), (1041, 1), (1219, 1), (1348, 1), (1742, 1), (4311, 1), (10153, 1), (10154, 1), (10155, 1), (10156, 1), (10157, 1), (10158, 1)], [(8, 1), (21, 2), (23, 1), (82, 1), (90, 1), (117, 1), (2734, 1), (3034, 1), (4165, 1), (10015, 1)], [(19, 1), (20, 4), (21, 1), (22, 3), (23, 1), (27, 2), (31, 1), (53, 4), (65, 1), (90, 2), (117, 1), (247, 1), (262, 1), (268, 1), (278, 1), (293, 1), (305, 1), (407, 1), (506, 1), (675, 1), (813, 1), (988, 1), (1580, 1), (1899, 1), (2495, 1), (3400, 1), (3453, 1), (4390, 1), (4532, 1), (7686, 1), (7688, 1), (8076, 1), (8266, 1), (9641, 1), (10015, 1), (10159, 1), (10160, 1), (10161, 1)], [(281, 1), (1580, 1), (1714, 1), (3545, 1), (5053, 1), (10162, 1)], [(247, 1), (1583, 1)], [(8, 1), (20, 2), (53, 2), (54, 1), (215, 1), (293, 1), (417, 1), (420, 1), (506, 1), (1342, 1), (2724, 1), (7278, 1), (10163, 1), (10164, 1)], [(8, 1), (124, 1), (1165, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (37, 1), (58, 1), (77, 1), (82, 1), (106, 1), (117, 1), (506, 2), (581, 1), (605, 1), (984, 1), (1908, 1), (2365, 1), (2531, 1), (4891, 1), (6442, 1), (10165, 1), (10166, 1)], [(20, 3), (22, 1), (23, 1), (25, 1), (53, 2), (55, 1), (247, 1), (407, 2), (1012, 1), (2366, 1), (4619, 1), (6260, 1), (6290, 1), (6450, 1), (10167, 1), (10168, 1), (10169, 1), (10170, 1)], [(31, 1), (50, 1), (53, 1), (247, 1), (2652, 1), (6290, 1), (10171, 1)], [(21, 1), (247, 1), (1224, 2), (2178, 1), (3642, 1)], [(10, 1), (20, 1), (439, 1), (469, 1), (470, 1), (960, 1), (3944, 1), (10172, 1), (10173, 1), (10174, 1), (10175, 1)], [(8, 1), (18, 1), (82, 1), (117, 1), (293, 1), (2320, 1), (6484, 1), (6670, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (25, 1), (37, 1), (53, 1), (169, 1), (193, 1), (202, 1), (236, 1), (256, 1), (269, 2), (428, 1), (450, 1), (711, 1), (1580, 1), (2148, 1), (4221, 1), (5247, 1), (9543, 1), (9911, 1), (10176, 1), (10177, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (25, 1), (37, 1), (50, 1), (65, 1), (99, 1), (190, 1), (228, 1), (293, 1), (307, 1), (450, 1), (504, 1), (506, 1), (516, 1), (711, 1), (800, 1), (4200, 1), (5653, 1), (5864, 1), (8086, 1), (8485, 1)], [(20, 1), (247, 1), (1583, 1), (2320, 1)], [(19, 1), (20, 1), (53, 1), (71, 1), (83, 1), (90, 1), (203, 1), (247, 1), (999, 1), (1392, 1), (1899, 1), (4200, 1), (7840, 1)], [(20, 2), (22, 1), (23, 4), (25, 1), (96, 1), (117, 4), (247, 1), (596, 1), (1685, 1), (2854, 1), (3069, 3), (7629, 1), (10178, 2)], [(20, 1), (21, 1), (22, 1), (23, 2), (117, 1), (242, 1), (247, 1), (256, 1), (342, 1), (506, 1), (530, 1), (1747, 1), (3073, 1), (3221, 1), (5275, 1), (5734, 1), (7286, 1), (10179, 1)], [(19, 1), (90, 1), (117, 1), (232, 1), (247, 1), (580, 1), (658, 1), (1308, 1), (1392, 1), (2168, 1), (5734, 1), (8818, 1)], [(21, 1), (22, 1), (23, 1), (24, 1), (25, 1), (54, 1), (71, 1), (90, 1), (247, 1), (743, 1), (4939, 1), (7070, 1), (10180, 1)], [(8, 1), (23, 1), (185, 1), (482, 1), (3638, 1)], [(8, 1), (23, 2), (32, 1), (90, 1), (190, 1), (1580, 1), (10181, 1), (10182, 1), (10183, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (71, 1), (269, 1), (346, 1), (509, 1), (897, 1), (10184, 1)], [(8, 1), (20, 2), (40, 1), (117, 1), (124, 1), (232, 1), (295, 2), (334, 1), (459, 1), (658, 1), (833, 1), (2545, 1)], [(20, 3), (23, 1), (25, 2), (65, 1), (193, 1), (247, 1), (295, 4), (3918, 1), (10185, 1), (10186, 1), (10187, 1), (10188, 1), (10189, 1), (10190, 1), (10191, 1), (10192, 1)], [(19, 1), (21, 1), (22, 1), (23, 1), (50, 1), (82, 1), (117, 1), (190, 1), (215, 1), (229, 1), (247, 1), (269, 1), (273, 1), (324, 1), (424, 1), (448, 1), (759, 1), (1685, 1), (1755, 1), (1907, 1), (5074, 1), (10193, 1), (10194, 1), (10195, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 2), (117, 1), (172, 1), (186, 1), (242, 1), (256, 1), (295, 1), (310, 1), (506, 1), (742, 1), (1165, 1), (1458, 1), (3069, 1), (3524, 1), (6735, 1), (10196, 1)], [(109, 1), (247, 1), (324, 1), (686, 1), (2258, 1), (3280, 1), (10197, 1), (10198, 1)], [(8, 1), (19, 1), (23, 1), (172, 1), (174, 1), (268, 1), (295, 1), (5100, 1), (6612, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (34, 1), (117, 1), (232, 1), (295, 2), (504, 1), (506, 1), (581, 1), (702, 1), (3280, 1), (6315, 1), (6891, 1), (10199, 1)], [(506, 1), (1714, 1), (10200, 1)], [(20, 1), (247, 1), (295, 2), (506, 1), (1072, 1), (2016, 1), (6569, 1), (10199, 2)], [(8, 1), (225, 1), (295, 1), (328, 1), (645, 1)], [(506, 1), (1714, 1), (10200, 1)], [(8, 1), (19, 2), (20, 1), (24, 1), (55, 1), (77, 2), (340, 1), (627, 1), (742, 1), (1448, 1), (1580, 2), (1628, 1), (2196, 1), (2734, 1), (10201, 1), (10202, 1), (10203, 1)], [(20, 3), (23, 1), (50, 1), (53, 1), (92, 1), (117, 1), (247, 1), (313, 1), (1487, 1), (1809, 1), (4937, 1), (7125, 1), (9415, 1), (10204, 1), (10205, 1), (10206, 1), (10207, 1), (10208, 1)], [(19, 1), (20, 1), (53, 1), (117, 2), (232, 2), (247, 1), (531, 2), (697, 1), (2734, 1), (2768, 1), (3771, 1), (10209, 1), (10210, 1)], [(1544, 1), (10211, 1)], [(8, 1), (10212, 1)], [(8, 1), (22, 1), (439, 1), (466, 1), (10213, 1), (10214, 1), (10215, 1), (10216, 1), (10217, 1)], [(7, 1), (18, 1), (22, 2), (25, 1), (77, 1), (117, 1), (124, 1), (232, 1), (247, 1), (833, 1), (1193, 1), (1322, 1), (1628, 1), (3222, 1), (10218, 1), (10219, 1)], [(18, 1), (20, 1), (90, 1), (247, 1), (414, 1), (743, 1), (744, 1), (3468, 1), (5054, 1), (8640, 1), (10220, 1), (10221, 1), (10222, 1)], [(20, 1), (25, 1), (37, 1), (50, 1), (85, 1), (173, 1), (247, 1), (301, 1), (310, 1), (338, 1), (506, 1), (1580, 1), (2197, 1), (2639, 1), (10223, 1)], [(8, 1), (19, 1), (22, 1), (23, 3), (30, 1), (34, 1), (45, 1), (58, 1), (90, 1), (203, 1), (256, 1), (262, 1), (342, 1), (2862, 1), (2912, 1), (8025, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (23, 3), (30, 1), (53, 1), (55, 1), (172, 1), (225, 1), (268, 1), (387, 1), (506, 2), (703, 1), (1542, 1), (2864, 1), (4636, 1), (7084, 1), (8726, 1), (10224, 1), (10225, 1)], [(51, 1), (247, 1), (645, 1), (10226, 1)], [(18, 1), (19, 1), (20, 3), (22, 1), (30, 1), (37, 2), (58, 1), (71, 1), (117, 1), (173, 3), (232, 1), (247, 1), (285, 1), (288, 1), (767, 1), (777, 2), (1170, 1), (1902, 1), (2010, 1), (4390, 1), (4782, 1), (6364, 1), (8588, 1), (10227, 1)], [(247, 1), (1583, 1)], [(19, 2), (20, 2), (22, 1), (23, 1), (25, 1), (34, 1), (50, 1), (55, 1), (247, 1), (602, 1), (823, 1), (1580, 1), (1824, 1), (1932, 1), (2326, 1), (2470, 1), (2500, 1), (3641, 1), (8306, 1), (9988, 1), (10228, 1)], [(8, 1), (20, 1), (23, 2), (31, 1), (45, 1), (58, 1), (186, 1), (261, 1), (285, 1), (286, 1), (347, 1), (448, 1), (506, 1), (4297, 1), (4910, 1), (10229, 1), (10230, 1)], [(8, 1), (77, 1), (328, 1), (1742, 1), (3701, 1)], [(8, 1), (25, 1), (1270, 1), (2636, 1), (4796, 1), (10231, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (31, 1), (53, 2), (56, 1), (65, 1), (74, 1), (95, 1), (215, 1), (225, 2), (661, 1), (1041, 1), (1122, 1), (1600, 1), (3121, 1), (4165, 1), (5878, 1), (10232, 1), (10233, 1)], [(8, 1), (20, 1), (65, 1), (332, 1), (830, 1), (1001, 1), (2196, 1), (3000, 1), (3782, 1), (10234, 1), (10235, 1)], [(8, 1), (20, 1), (23, 1), (29, 1), (58, 1), (82, 1), (186, 1), (285, 1), (459, 1), (516, 1), (1304, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (29, 1), (37, 1), (53, 1), (65, 1), (117, 1), (172, 1), (232, 1), (268, 1), (301, 1), (310, 1), (742, 1), (796, 1), (1458, 1), (1580, 2), (1889, 1), (2985, 1), (3026, 1), (4599, 1), (10236, 1)], [(5, 1), (126, 1), (439, 1), (469, 1), (522, 1), (10237, 1), (10238, 1), (10239, 1), (10240, 1)], [(20, 1), (247, 1), (332, 1), (1583, 1)], [(18, 1), (19, 1), (31, 1), (50, 1), (55, 1), (90, 1), (91, 1), (172, 1), (247, 1), (744, 1), (752, 1), (1506, 1), (2693, 1), (3121, 1), (3490, 1), (3641, 1), (10241, 1)], [(7, 1), (8, 1), (53, 1), (365, 1), (3289, 1), (6997, 1), (10242, 1)], [(8, 1), (24, 1), (77, 1), (95, 1), (450, 1), (778, 1), (10243, 1)], [(247, 1), (8598, 1)], [(53, 1), (247, 1), (3029, 1), (3380, 1)], [(77, 1), (90, 1), (247, 1), (1462, 1), (3016, 1)], [(53, 1), (247, 1), (2812, 1), (3988, 1), (4957, 1), (10244, 1)], [(8, 1), (58, 1), (505, 1), (4398, 1), (5294, 1)], [(7, 1), (8, 1), (19, 1), (20, 7), (25, 1), (42, 1), (45, 1), (50, 1), (53, 4), (58, 1), (92, 1), (173, 1), (256, 1), (337, 1), (365, 1), (388, 1), (414, 2), (680, 1), (777, 1), (893, 1), (1041, 1), (1139, 1), (1229, 1), (1308, 1), (1328, 1), (2276, 1), (2772, 1), (3743, 1), (3835, 1), (4316, 1), (4729, 1), (5023, 1), (5276, 1), (6315, 1), (7933, 1), (10245, 1), (10246, 1), (10247, 1), (10248, 1), (10249, 1), (10250, 1)], [(24, 1), (92, 1), (174, 1), (247, 1), (506, 1), (10251, 1), (10252, 1)], [(247, 1), (9472, 1)], [(20, 1), (25, 1), (53, 1), (247, 1), (295, 1), (753, 1), (2343, 1), (10253, 1)], [(20, 1), (247, 1), (505, 1), (1583, 1)], [(19, 2), (20, 3), (21, 1), (25, 1), (31, 1), (55, 1), (117, 1), (185, 1), (214, 1), (215, 1), (247, 1), (310, 1), (487, 1), (505, 1), (516, 1), (531, 1), (740, 1), (1176, 1), (1583, 1), (1628, 1), (1932, 1), (2168, 1), (2361, 1), (2978, 1), (4532, 1), (5459, 1), (6518, 1), (10254, 1)], [(23, 1), (31, 1), (32, 1), (53, 1), (90, 1), (117, 1), (245, 1), (247, 1), (262, 1), (1176, 1), (1685, 1), (2179, 1), (7876, 1)], [(82, 1), (117, 1), (247, 1), (256, 1), (506, 1), (1176, 1)], [(50, 1), (85, 1), (90, 1), (117, 1), (232, 1), (247, 1), (506, 1), (2179, 1)], [(19, 1), (20, 3), (23, 1), (25, 1), (31, 1), (50, 1), (53, 2), (55, 1), (190, 1), (247, 1), (295, 2), (506, 1), (815, 1), (1616, 1), (1824, 1), (1890, 1), (2693, 1), (3072, 1), (3103, 1), (3400, 1), (10255, 1)], [(7, 1), (20, 3), (247, 1), (295, 1), (506, 3), (1867, 1), (2087, 1), (3172, 1), (4942, 1), (6320, 1), (7363, 1)], [(1544, 1), (10256, 1)], [(8, 1), (3528, 1), (3604, 1), (10257, 1)], [(8, 1), (65, 1), (10258, 1), (10259, 1)], [(10, 1), (20, 1), (126, 1), (540, 1), (960, 1), (10260, 1), (10261, 1), (10262, 1), (10263, 1)], [(247, 1), (2379, 1)], [(247, 1), (2384, 1)], [(247, 1), (2384, 1)], [(247, 1), (2384, 1)], [(247, 1), (10264, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (40, 1), (53, 1), (58, 1), (90, 1), (117, 2), (217, 1), (232, 1), (300, 1), (605, 1), (777, 1), (1580, 1), (2384, 2), (2667, 1), (3069, 1), (3358, 1), (3786, 1), (4118, 1), (10265, 1)], [(293, 1), (1714, 1), (1845, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (21, 1), (22, 1), (25, 1), (37, 2), (52, 1), (53, 1), (58, 1), (77, 1), (90, 2), (96, 1), (117, 4), (190, 1), (232, 4), (269, 1), (702, 1), (1656, 1), (2029, 1), (2084, 1), (3918, 1), (4699, 1), (7087, 1), (7177, 2), (10266, 1), (10267, 1), (10268, 1)], [(8, 1), (19, 1), (22, 1), (23, 2), (37, 1), (45, 1), (53, 1), (55, 1), (82, 1), (178, 1), (215, 1), (220, 1), (256, 1), (415, 1), (897, 1), (1580, 1), (1901, 1), (2030, 1), (2304, 1), (2539, 1), (2917, 1), (3331, 1), (7286, 2)], [(8, 1), (20, 1), (30, 1), (51, 1), (53, 1), (225, 1), (278, 1), (627, 1), (1541, 1), (2775, 1), (10269, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (23, 3), (45, 1), (53, 1), (58, 4), (108, 1), (172, 1), (220, 1), (281, 1), (347, 2), (420, 1), (601, 1), (726, 1), (1580, 1), (1644, 1), (3453, 1), (6317, 1), (7298, 1), (8241, 1), (10270, 1), (10271, 1)], [(20, 5), (21, 2), (50, 1), (58, 1), (90, 1), (96, 1), (117, 1), (232, 1), (240, 1), (1580, 1), (1714, 1), (2013, 1), (7295, 4), (9256, 1), (10272, 1)], [(8, 1), (18, 1), (117, 1), (232, 1), (325, 1), (10273, 1)], [(8, 1), (19, 1), (20, 2), (23, 2), (37, 1), (58, 3), (71, 2), (82, 1), (90, 1), (96, 1), (117, 1), (190, 1), (256, 1), (287, 1), (309, 1), (830, 1), (2854, 1), (3034, 1), (6686, 1)], [(18, 1), (31, 1), (37, 1), (215, 1), (247, 1), (324, 1), (2153, 1), (4695, 1), (8068, 1), (10274, 1), (10275, 1)], [(8, 1), (23, 1), (262, 1), (2904, 1)], [(20, 1), (247, 1), (6752, 1), (10276, 1)], [(20, 1), (247, 1), (10277, 1), (10278, 1)], [(32, 1), (117, 1), (193, 1), (232, 1), (596, 1), (884, 1), (1580, 1), (1587, 1), (1714, 1), (2230, 1), (3939, 1), (6012, 1)], [(18, 2), (19, 1), (20, 4), (21, 1), (23, 2), (25, 1), (42, 1), (53, 1), (85, 1), (117, 1), (215, 1), (232, 1), (242, 1), (247, 1), (261, 1), (273, 1), (293, 1), (775, 1), (1041, 1), (1683, 1), (2216, 1), (2344, 1), (5198, 1), (6566, 1), (6752, 1), (10279, 1), (10280, 1), (10281, 1), (10282, 1), (10283, 1)], [(20, 1), (247, 1), (10277, 1), (10278, 1)], [(21, 1), (1583, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (42, 1), (53, 2), (55, 1), (65, 1), (90, 1), (117, 2), (209, 1), (215, 2), (232, 1), (313, 1), (331, 1), (414, 2), (553, 1), (661, 1), (751, 1), (1161, 1), (1224, 1), (1529, 1), (2365, 1), (2854, 1), (2886, 1), (3189, 1), (5679, 1), (6511, 1), (6927, 1), (10284, 1), (10285, 1), (10286, 1)], [(21, 1), (90, 1), (126, 1), (323, 1), (1714, 1), (4146, 1), (4408, 1), (4799, 1)], [(8, 1), (1195, 1), (1714, 1), (7286, 1)], [(8, 1), (11, 1), (20, 7), (21, 1), (23, 1), (45, 1), (55, 1), (82, 1), (92, 1), (117, 2), (173, 2), (185, 1), (225, 1), (232, 1), (278, 1), (309, 1), (504, 1), (638, 1), (949, 2), (1580, 1), (1731, 1), (2633, 1), (3073, 1), (4390, 2), (4400, 1), (4939, 2), (6048, 1), (10022, 1), (10287, 1)], [(1052, 1), (1544, 1)], [(8, 1), (20, 1), (10288, 1), (10289, 1)], [(8, 1), (540, 1), (10290, 1), (10291, 1)], [(10, 1), (20, 4), (439, 1), (540, 2), (716, 2), (960, 1), (7074, 1), (10215, 1), (10292, 1), (10293, 1), (10294, 1), (10295, 1), (10296, 1), (10297, 1), (10298, 1), (10299, 1), (10300, 1), (10301, 1), (10302, 1)], [(19, 1), (20, 1), (25, 1), (99, 1), (247, 1), (4044, 1), (7643, 1), (10303, 1), (10304, 1)], [(19, 1), (20, 1), (25, 1), (50, 1), (99, 1), (247, 1), (957, 1), (4044, 1), (10303, 1), (10304, 1)], [(117, 1), (232, 1), (1325, 1), (2633, 1), (3867, 1), (6019, 1)], [(8, 1), (953, 1), (10305, 1), (10306, 1)], [(20, 2), (22, 1), (53, 1), (58, 1), (71, 1), (108, 1), (117, 2), (232, 1), (247, 1), (759, 1), (1583, 1), (1907, 1), (1978, 1), (2954, 1), (9180, 1), (10307, 1)], [(18, 1), (20, 1), (247, 1), (506, 1), (1755, 1), (3523, 1), (10308, 1)], [(10, 1), (11, 1), (20, 1), (540, 1), (7074, 1), (10309, 1), (10310, 1)], [(8, 1), (20, 2), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (75, 1), (126, 2), (187, 1), (193, 1), (197, 1), (281, 1), (658, 1), (834, 1), (996, 1), (1325, 1), (2064, 1), (2296, 1), (2482, 1), (4519, 1), (6019, 1), (10311, 1), (10312, 1), (10313, 1)], [(7, 1), (20, 7), (31, 1), (50, 1), (75, 1), (117, 1), (172, 1), (187, 1), (247, 1), (269, 1), (324, 3), (331, 2), (419, 1), (777, 1), (800, 1), (834, 1), (913, 1), (1580, 1), (1583, 1), (1978, 2), (2241, 1), (2854, 1), (10064, 1), (10314, 1), (10315, 1)], [(20, 2), (71, 1), (241, 1), (247, 1), (1577, 1), (1579, 1), (1580, 1)], [(247, 1), (313, 1), (324, 1), (812, 1), (830, 1), (861, 1)], [(53, 2), (68, 1), (77, 1), (95, 1), (247, 1), (1297, 1), (1395, 1), (10316, 1)], [(8, 1), (65, 1), (117, 1), (119, 1), (439, 1), (469, 1), (1212, 1), (10317, 1), (10318, 1), (10319, 1)], [(20, 1), (247, 1), (328, 1), (1462, 1), (10320, 1), (10321, 1)], [(8, 1), (953, 1), (10306, 1), (10322, 1)], [(53, 1), (247, 1), (6994, 1), (7324, 1)], [(247, 1), (328, 1), (10320, 1), (10321, 1)], [(20, 1), (65, 1), (117, 1), (295, 1), (809, 1), (1075, 1), (1714, 1), (1858, 1), (4106, 1)], [(20, 1), (53, 1), (247, 1), (357, 1), (456, 1), (4106, 1), (7313, 1), (8198, 1)], [(247, 1), (357, 1), (10323, 1)], [(8, 1), (25, 1), (53, 1), (498, 1), (506, 1), (2343, 1), (3633, 1)], [(8, 1), (21, 1), (23, 1), (50, 1), (53, 2), (90, 1), (108, 1), (117, 1), (382, 2), (813, 1), (3069, 1), (10324, 1)], [(10, 1), (18, 1), (20, 3), (65, 9), (232, 1), (241, 1), (247, 1), (293, 1), (439, 1), (468, 1), (470, 1), (985, 1), (1344, 1), (3602, 2), (6072, 1), (7049, 1), (10325, 1), (10326, 1), (10327, 1), (10328, 1), (10329, 1), (10330, 1), (10331, 1)], [(247, 1), (328, 1), (6364, 1), (10320, 1), (10321, 1)], [(186, 1), (247, 1), (10332, 1)], [(8, 1), (141, 1), (10306, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (65, 1), (90, 1), (108, 1), (534, 1), (1224, 2), (7230, 1), (10333, 1), (10334, 1)], [(8, 1), (19, 2), (22, 1), (23, 1), (31, 1), (51, 1), (58, 1), (83, 1), (84, 1), (117, 2), (185, 1), (215, 2), (232, 2), (284, 1), (448, 1), (1929, 1), (2812, 1), (10269, 1), (10335, 1), (10336, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (65, 1), (310, 1), (328, 1), (516, 1), (694, 1), (711, 1), (751, 1), (1113, 1), (1799, 1), (4390, 1), (5054, 1), (10337, 1), (10338, 1)], [(117, 1), (247, 1), (1458, 1), (2359, 1), (2906, 1)], [(8, 1), (20, 2), (25, 1), (58, 1), (65, 1), (88, 1), (92, 1), (117, 1), (185, 1), (351, 1), (2906, 1), (9620, 1), (10339, 1), (10340, 1)], [(8, 1), (19, 1), (50, 1), (117, 1), (450, 1), (1744, 1), (2829, 1), (2906, 1), (3273, 1), (10341, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (53, 1), (58, 1), (117, 2), (203, 1), (232, 1), (450, 1), (702, 1), (711, 1), (1744, 1), (2133, 1), (2344, 1), (2906, 1), (3702, 1), (10342, 1)], [(8, 1), (21, 1), (22, 1), (53, 1), (55, 1), (58, 1), (117, 3), (119, 1), (232, 1), (658, 1), (697, 1), (759, 1), (2011, 1), (2654, 1), (4118, 1), (4841, 1), (6008, 1), (6789, 1), (8576, 1), (10343, 1)], [(8, 1), (148, 1), (10306, 1)], [(20, 1), (247, 1), (1978, 1), (10344, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (111, 1), (117, 1), (172, 1), (232, 1), (307, 1), (418, 1), (419, 1), (498, 1), (3287, 1), (7617, 1), (9657, 1), (10345, 1), (10346, 1)], [(273, 1), (295, 1), (596, 1), (1714, 1)], [(8, 1), (53, 1), (351, 1), (415, 1), (2343, 1), (3036, 1)], [(7, 1), (37, 1), (247, 1), (1766, 1), (7363, 1)], [(247, 1), (8198, 1)], [(247, 1), (884, 1), (8198, 1)], [(55, 1), (247, 1), (324, 1), (8204, 1), (10347, 1)], [(8, 1), (10348, 1)], [(8, 1), (10, 1), (11, 1), (58, 1), (77, 1), (117, 1), (540, 1), (759, 1), (1139, 1), (3034, 1), (3613, 1), (10349, 1), (10350, 1)], [(8, 1), (148, 1), (10306, 1)], [(8, 1), (20, 2), (25, 1), (769, 1), (897, 1), (2514, 1), (4841, 2), (10351, 1), (10352, 1)], [(20, 2), (22, 2), (23, 1), (53, 1), (58, 1), (98, 1), (117, 1), (232, 1), (247, 1), (273, 1), (600, 1), (4388, 1), (10347, 1), (10353, 1)], [(20, 1), (99, 1), (117, 1), (506, 1), (759, 1), (1714, 1), (3291, 1), (8500, 1), (10354, 1)], [(20, 3), (25, 1), (32, 1), (53, 1), (65, 2), (394, 1), (428, 1), (1714, 1), (3300, 1), (10355, 1), (10356, 1), (10357, 1), (10358, 1)], [(247, 1), (6569, 1), (10359, 1)], [(247, 1), (10360, 1)], [(247, 1), (1766, 1)], [(8, 1), (927, 1), (10306, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (58, 1), (117, 2), (232, 1), (278, 1), (324, 1), (516, 1), (759, 1), (1580, 1), (1907, 1), (3274, 1), (4469, 1), (10333, 1), (10361, 1)], [(8, 1), (19, 1), (23, 1), (65, 1), (117, 1), (2322, 1), (2839, 1), (3073, 1), (10362, 1)], [(8, 1), (19, 1), (22, 1), (23, 1), (53, 1), (117, 1), (256, 1), (414, 1), (506, 1), (680, 1), (1558, 1), (2275, 1), (2669, 1), (3073, 1), (3078, 1), (10363, 1)], [(8, 1), (10306, 1), (10364, 1)], [(22, 1), (117, 1), (232, 1), (278, 1), (324, 1), (1139, 1), (1714, 1), (3620, 1), (4198, 1)], [(7, 1), (18, 1), (19, 1), (20, 2), (25, 1), (45, 2), (75, 1), (88, 1), (117, 1), (256, 1), (273, 1), (285, 1), (288, 1), (295, 1), (970, 1), (1075, 1), (1377, 1), (1656, 1), (1685, 1), (1714, 1), (2010, 1), (7086, 1)], [(247, 1), (10365, 1)], [(23, 1), (172, 1), (203, 1), (247, 1), (10366, 1)], [(8, 1), (10306, 1), (10367, 1)], [(18, 1), (20, 1), (22, 2), (23, 1), (25, 1), (55, 1), (117, 1), (247, 1), (295, 1), (897, 1), (990, 1), (1131, 1), (1962, 1), (2547, 1), (2854, 1), (3786, 1), (4198, 1), (4939, 1), (9503, 1)], [(8, 1), (65, 1), (4265, 1), (10306, 1), (10368, 1)], [(8, 1), (20, 3), (50, 1), (117, 1), (124, 1), (232, 1), (240, 1), (295, 1), (328, 1), (434, 1), (2013, 1), (2564, 1), (10369, 1)], [(8, 1), (20, 1), (23, 1), (99, 1), (273, 1), (420, 1), (830, 1), (2512, 1), (10370, 1)], [(8, 1), (19, 1), (287, 1), (1627, 1), (1766, 1), (2849, 1), (7590, 1)], [(247, 1), (2058, 1)], [(22, 1), (32, 1), (53, 1), (58, 1), (108, 1), (226, 1), (247, 1), (3036, 1), (9375, 1)], [(8, 1), (10306, 1), (10371, 1)], [(10, 1), (20, 1), (439, 2), (540, 1), (960, 1), (10327, 1), (10372, 1), (10373, 1), (10374, 1), (10375, 1)], [(20, 1), (22, 2), (25, 1), (53, 1), (65, 1), (99, 2), (117, 1), (186, 1), (214, 1), (232, 1), (247, 1), (325, 1), (328, 1), (7329, 1), (8198, 1), (9608, 1), (10376, 1)], [(20, 1), (247, 1), (346, 1), (1978, 1)], [(8, 1), (10, 1), (22, 2), (439, 3), (475, 1), (522, 2), (593, 1), (10374, 1), (10377, 1), (10378, 1), (10379, 1), (10380, 1), (10381, 1), (10382, 1), (10383, 1), (10384, 1), (10385, 1), (10386, 2), (10387, 1)], [(65, 1), (126, 1), (960, 1), (10388, 1), (10389, 1)], [(8, 1), (10306, 1), (10371, 1)], [(10, 1), (11, 1), (20, 1), (58, 1), (247, 1), (1678, 1), (8198, 1), (10390, 1)], [(20, 1), (58, 1), (65, 1), (247, 1), (1858, 1), (4106, 1), (10391, 1)], [(20, 4), (58, 4), (65, 1), (247, 1), (1858, 1), (4106, 1), (10392, 1), (10393, 1), (10394, 1), (10395, 1)], [(22, 1), (53, 1), (65, 1), (247, 1), (561, 1), (999, 1), (3189, 1), (10396, 1), (10397, 1)], [(8, 1), (10348, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (58, 1), (99, 1), (273, 1), (293, 1), (328, 1), (378, 1), (708, 1), (1683, 1), (2265, 1), (5011, 1), (7431, 1), (10398, 1)], [(8, 1), (10306, 1), (10399, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (50, 1), (449, 1), (885, 1), (897, 1), (1324, 1), (4841, 1), (6936, 1), (7431, 1), (10400, 1), (10401, 1)], [(8, 1), (148, 1), (10306, 1)], [(65, 1), (247, 1), (3221, 1), (7294, 1)], [(20, 2), (23, 1), (58, 1), (92, 1), (186, 1), (247, 1), (1057, 1), (1963, 1), (4841, 1), (8198, 1), (10402, 1), (10403, 1)], [(247, 1), (10404, 1), (10405, 1)], [(247, 1), (6569, 1), (7406, 1)], [(8, 1), (10406, 1)], [(10, 1), (11, 1), (18, 1), (22, 1), (90, 1), (117, 1), (173, 1), (232, 1), (247, 1), (392, 1), (645, 1), (658, 1), (778, 1), (4799, 1), (8066, 1), (10407, 1), (10408, 1), (10409, 1)], [(8, 1), (23, 1), (1580, 1), (3382, 1), (10410, 1)], [(8, 1), (10306, 1), (10411, 1), (10412, 1)], [(8, 1), (23, 1), (50, 1), (91, 1), (96, 1), (214, 1), (490, 1), (711, 1), (777, 1), (834, 1), (1534, 1), (1579, 1), (2132, 1), (2202, 1), (8360, 1)], [(8, 1), (20, 2), (21, 1), (23, 2), (50, 1), (53, 1), (65, 2), (90, 2), (117, 2), (190, 1), (232, 1), (324, 2), (706, 1), (777, 1), (1122, 1), (1224, 1), (1813, 1), (2854, 1), (4057, 1), (4189, 1), (4328, 1), (4532, 1), (7465, 1), (10354, 1), (10413, 1)], [(247, 1), (4942, 1), (10414, 1)], [(19, 1), (25, 1), (50, 1), (53, 2), (65, 1), (247, 1), (342, 1), (982, 1), (1131, 2), (8173, 1), (10415, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (50, 1), (53, 1), (56, 1), (58, 2), (99, 1), (117, 2), (172, 1), (215, 1), (232, 1), (240, 1), (269, 1), (293, 1), (885, 1), (970, 1), (1176, 1), (1459, 1), (2013, 1), (2985, 1), (4753, 1), (10416, 1), (10417, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (54, 1), (99, 1), (117, 1), (414, 1), (776, 1), (1579, 1), (2235, 1), (9720, 1), (10418, 1)], [(8, 1), (953, 1), (10306, 1), (10419, 1)], [(247, 1), (3786, 1), (5134, 1), (10420, 1), (10421, 1)], [(8, 1), (18, 2), (20, 1), (21, 1), (31, 1), (77, 1), (185, 1), (187, 1), (337, 1), (434, 1), (580, 1), (691, 1), (833, 1), (2470, 1), (9928, 1), (10422, 1), (10423, 1)], [(8, 1), (10, 1), (20, 1), (540, 1), (716, 1), (10390, 1), (10424, 1), (10425, 1), (10426, 1), (10427, 1)], [(21, 1), (439, 2), (960, 1), (10298, 1), (10428, 1), (10429, 1), (10430, 1), (10431, 1)], [(8, 1), (10306, 1), (10432, 1)], [(247, 1), (639, 1), (10433, 1)], [(8, 1), (20, 1), (58, 1), (71, 1), (117, 1), (752, 1), (1627, 1), (1978, 1), (2854, 1), (10434, 1)], [(19, 1), (20, 1), (24, 1), (65, 2), (247, 1), (754, 1), (1012, 1), (2406, 1), (4214, 1), (4796, 1), (5339, 1), (10435, 1)], [(20, 1), (247, 1), (252, 1), (2401, 1), (4841, 1), (5053, 1), (10436, 1), (10437, 1)], [(8, 1), (10306, 1), (10364, 1)], [(10, 1), (470, 1), (540, 1), (960, 1), (10438, 1), (10439, 1), (10440, 1)], [(8, 1), (19, 1), (21, 1), (32, 1), (53, 2), (58, 1), (117, 2), (122, 1), (232, 2), (435, 1), (990, 1), (2198, 1), (9147, 1), (10346, 1)], [(8, 1), (117, 1), (450, 1), (530, 1), (1627, 1), (2854, 1), (5158, 1), (10441, 1)], [(20, 2), (23, 1), (25, 1), (37, 1), (53, 1), (55, 1), (91, 1), (117, 1), (247, 1), (285, 1), (287, 1), (346, 1), (435, 1), (459, 1), (897, 1), (1075, 1), (4189, 1), (10442, 1), (10443, 1), (10444, 1)], [(8, 1), (20, 3), (21, 1), (31, 1), (50, 1), (53, 2), (58, 1), (65, 1), (82, 1), (117, 1), (168, 1), (215, 1), (232, 1), (282, 1), (293, 1), (351, 1), (414, 1), (420, 1), (744, 1), (777, 1), (830, 1), (834, 1), (1001, 1), (2168, 1), (2789, 1), (3468, 1), (3771, 1), (3786, 1), (4167, 1), (4200, 1), (4315, 1), (5196, 1), (5697, 1), (5708, 1), (10354, 1), (10445, 1), (10446, 1), (10447, 1)], [(8, 1), (10306, 1), (10367, 1)], [(10, 1), (960, 1), (10439, 1)], [(50, 1), (58, 1), (82, 1), (247, 1), (506, 1), (1744, 1)], [(20, 1), (21, 4), (50, 1), (53, 1), (247, 1), (295, 1), (4757, 1), (6089, 1), (7898, 1), (8135, 1), (8598, 1), (10448, 1), (10449, 1), (10450, 1), (10451, 1)], [(247, 1), (9117, 1)], [(29, 1), (247, 1)], [(247, 1), (10452, 1)], [(25, 1), (37, 1), (247, 1), (287, 1), (392, 1), (3641, 1), (4308, 1), (7461, 1)], [(8, 1), (20, 2), (82, 1), (295, 1), (702, 1), (2016, 1), (4469, 1), (5029, 1), (10453, 1)], [(20, 1), (1714, 1), (5203, 1), (10454, 1)], [(10, 1), (960, 1), (10455, 1)], [(8, 1), (10306, 1), (10456, 1)], [(10, 1), (126, 1), (929, 1), (960, 1), (10439, 1), (10457, 1)], [(20, 1), (50, 1), (53, 1), (65, 1), (84, 1), (247, 1), (1868, 1), (3786, 1), (4198, 1), (8360, 1), (10458, 1), (10459, 2), (10460, 1)], [(247, 1), (2058, 1)], [(20, 1), (247, 1), (1012, 1), (2366, 1), (10461, 1), (10462, 1), (10463, 1)], [(20, 1), (23, 1), (53, 1), (225, 1), (247, 1), (256, 1), (414, 1), (506, 1), (1702, 1), (2656, 1), (3103, 1), (3335, 1), (3379, 1), (4841, 1), (8282, 1)], [(20, 1), (23, 1), (31, 1), (53, 1), (245, 1), (247, 1), (726, 1), (924, 1), (1580, 1), (3335, 1), (10464, 1)], [(8, 1), (22, 1), (23, 1), (25, 1), (32, 1), (53, 1), (295, 1), (361, 1), (443, 1), (763, 1), (1131, 1), (1682, 1), (1929, 1), (6179, 1), (10465, 1)], [(23, 1), (53, 1), (82, 1), (247, 1), (357, 1), (506, 1), (581, 1), (1911, 1), (1988, 1), (2058, 1), (3786, 1), (6803, 1)], [(19, 1), (20, 1), (71, 1), (293, 1), (504, 1), (897, 1), (1347, 1), (1714, 1), (2745, 1), (4214, 1), (10466, 1)], [(20, 1), (23, 1), (24, 1), (25, 1), (50, 1), (53, 3), (109, 1), (117, 1), (232, 1), (247, 1), (310, 1), (420, 1), (711, 1), (1045, 1), (1683, 1), (2687, 1), (5684, 1), (5753, 1), (7012, 1), (10443, 1), (10467, 1), (10468, 1), (10469, 1), (10470, 1), (10471, 1)], [(53, 1), (247, 1), (5684, 1)], [(20, 2), (25, 1), (58, 1), (247, 1), (1009, 1), (1476, 1), (10472, 1)], [(10, 1), (470, 1), (593, 1), (960, 1), (10473, 1), (10474, 1)], [(8, 1), (10306, 1), (10475, 1)], [(53, 2), (117, 1), (247, 1), (365, 1), (632, 1), (1266, 1), (1347, 1), (7469, 1), (10476, 1)], [(7, 1), (20, 1), (108, 1), (247, 1), (7363, 1), (9948, 1), (10477, 1)], [(8, 1), (20, 1), (53, 1), (65, 1), (117, 1), (214, 1), (287, 1), (711, 1), (1101, 1), (1731, 1), (1813, 1), (2367, 1), (2854, 1), (3974, 1), (10478, 1), (10479, 1), (10480, 1)], [(8, 1), (140, 1), (10306, 1)], [(20, 2), (51, 1), (247, 1), (709, 1), (8439, 1), (10481, 1)], [(20, 1), (174, 1), (215, 1), (247, 1), (293, 1), (357, 2), (10482, 1), (10483, 1)], [(247, 1), (2013, 1), (3181, 1)], [(8, 1), (19, 1), (24, 1), (58, 1), (295, 1), (328, 1), (1572, 1), (6172, 1), (6229, 1)], [(19, 1), (20, 2), (36, 1), (53, 3), (55, 1), (65, 2), (97, 1), (117, 1), (124, 1), (193, 1), (232, 1), (247, 1), (268, 1), (328, 1), (365, 1), (414, 1), (833, 1), (910, 1), (1590, 1), (1914, 1), (2140, 1), (3321, 1), (3400, 1), (4527, 1), (10484, 1), (10485, 1), (10486, 1), (10487, 1), (10488, 1)], [(8, 1), (953, 1), (10306, 1), (10489, 1)], [(8, 1), (20, 1), (36, 1), (45, 1), (90, 1), (225, 1), (295, 1), (1594, 1), (1997, 1)], [(18, 3), (20, 1), (21, 1), (23, 1), (30, 1), (51, 1), (55, 1), (58, 1), (173, 1), (203, 1), (215, 1), (247, 1), (324, 1), (428, 1), (709, 1), (711, 1), (810, 1), (970, 1), (999, 1), (1633, 1), (1901, 1), (2029, 1), (2030, 1), (2145, 1), (4116, 1), (6315, 1), (6359, 1), (10490, 1)], [(8, 1), (146, 1), (10306, 1)], [(247, 1), (7316, 1)], [(18, 1), (51, 2), (90, 1), (117, 1), (232, 1), (247, 1), (256, 1), (645, 1), (1130, 1), (10491, 1)], [(19, 1), (30, 1), (45, 1), (53, 1), (95, 1), (186, 1), (214, 1), (247, 1), (751, 1), (1579, 1), (7415, 1)], [(8, 1), (7074, 1)], [(247, 1), (4939, 1)], [(247, 1), (4390, 1)], [(8, 1), (10306, 1), (10411, 1), (10412, 1)], [(53, 1), (247, 1), (1248, 1), (1347, 1), (5158, 1), (10492, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (50, 1), (53, 2), (117, 2), (161, 1), (214, 1), (226, 1), (232, 2), (256, 1), (328, 1), (415, 1), (420, 1), (813, 1), (1506, 1), (1559, 1), (2780, 1), (3056, 1), (3476, 1), (8282, 1), (10493, 1), (10494, 1), (10495, 1), (10496, 1)], [(20, 1), (247, 1), (1333, 1), (6228, 1)], [(8, 1), (7362, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 1), (77, 1), (106, 1), (193, 1), (313, 1), (365, 1), (420, 1), (813, 1), (892, 1), (2967, 1), (4146, 1), (7436, 1), (7688, 1), (10497, 1), (10498, 1)], [(8, 1), (20, 4), (21, 1), (22, 1), (31, 1), (34, 1), (37, 1), (45, 1), (53, 1), (65, 1), (117, 1), (225, 1), (232, 1), (295, 1), (328, 1), (516, 1), (1170, 1), (1325, 1), (1729, 1), (1978, 1), (2016, 1), (2265, 1), (2401, 1), (2962, 1), (4214, 1), (6019, 1), (10229, 1), (10499, 1)], [(8, 1), (10500, 1)], [(50, 1), (90, 1), (596, 1), (1714, 1)], [(50, 2), (117, 2), (232, 2), (247, 1), (506, 1), (910, 2), (2010, 1), (2401, 1)], [(23, 1), (50, 1), (58, 1), (85, 1), (117, 1), (247, 1), (3073, 1), (9500, 1)], [(8, 1), (150, 1), (10306, 1)], [(10, 1), (960, 1), (10022, 1)], [(10, 1), (19, 1), (20, 1), (36, 1), (51, 1), (53, 1), (506, 1), (960, 1), (3786, 1), (4062, 1), (5723, 1), (6524, 1), (9479, 1), (10501, 1), (10502, 1), (10503, 1)], [(8, 1), (20, 2), (21, 1), (50, 1), (53, 1), (77, 1), (90, 1), (193, 1), (258, 1), (632, 1), (1578, 1), (2276, 2), (4360, 1), (4841, 1), (4903, 1), (4939, 1), (10504, 1)], [(8, 1), (1165, 1), (10505, 1)], [(10, 1), (155, 1), (10500, 1), (10506, 1)], [(8, 1), (10507, 1)], [(8, 2), (117, 1), (119, 1), (10306, 1), (10508, 1), (10509, 1)], [(8, 1), (111, 1), (117, 1), (232, 1), (658, 1), (3221, 1), (7065, 1), (10510, 1)], [(8, 1), (20, 1), (31, 2), (45, 1), (51, 1), (65, 1), (71, 1), (84, 1), (90, 1), (111, 1), (117, 2), (174, 1), (195, 1), (214, 1), (232, 1), (269, 1), (301, 1), (581, 1), (759, 1), (999, 1), (2016, 1), (2868, 1), (2983, 1), (4652, 1), (10269, 1)], [(8, 1), (953, 1), (10306, 1), (10511, 1)], [(21, 1), (23, 1), (90, 1), (117, 1), (232, 1), (596, 1), (726, 1), (1352, 1), (1714, 1)], [(8, 1), (1778, 1)], [(8, 1), (150, 1), (10306, 1)], [(8, 1), (22, 1), (45, 1), (449, 1), (1165, 1), (8140, 1), (9040, 1)], [(10, 1), (155, 1), (10500, 1), (10512, 1)], [(20, 1), (247, 1), (4386, 1), (10513, 1), (10514, 1)], [(20, 1), (247, 1), (512, 1), (778, 1), (3049, 1), (10515, 1)], [(10, 1), (150, 1), (155, 1), (10306, 1), (10516, 1), (10517, 1)], [(245, 1), (247, 1), (10518, 1), (10519, 1)], [(20, 1), (247, 1), (3121, 1), (3269, 1), (3736, 1), (5200, 1)], [(8, 1), (7074, 1)], [(126, 1), (247, 1), (8037, 1)], [(18, 1), (247, 1), (8037, 1)], [(18, 1), (247, 1), (8037, 1)], [(10, 1), (126, 1), (155, 1), (1192, 1), (10406, 1), (10520, 1)], [(18, 2), (20, 1), (21, 2), (25, 2), (117, 1), (126, 1), (247, 1), (306, 1), (600, 1), (2366, 1), (2479, 1), (8037, 2), (10521, 1), (10522, 1)], [(247, 1), (10523, 1)], [(8, 1), (10306, 1), (10524, 1)], [(126, 1), (247, 1), (8037, 1)], [(18, 1), (247, 1), (8037, 1), (10525, 1)], [(18, 1), (20, 1), (24, 1), (71, 1), (247, 1), (3172, 1), (8037, 1), (10526, 1)], [(31, 1), (55, 1), (247, 1), (295, 1), (10527, 1)], [(8, 1), (146, 1), (10306, 1)], [(247, 1), (354, 1), (10528, 1)], [(53, 1), (117, 1), (232, 1), (247, 1), (2864, 1), (7065, 1), (10529, 1)], [(18, 1), (20, 1), (126, 1), (247, 1), (5491, 2)], [(8, 1), (10306, 1), (10411, 1), (10412, 1)], [(8, 1), (2100, 1), (10530, 1)], [(247, 1), (351, 1)], [(8, 1), (53, 1), (6358, 1), (9329, 1)], [(8, 1), (90, 1), (359, 1), (1477, 1), (5491, 1), (8936, 1), (10531, 1)], [(20, 1), (247, 1), (608, 2), (970, 1), (7364, 1)], [(1165, 1), (1714, 1)], [(20, 2), (53, 1), (117, 1), (332, 1), (357, 1), (897, 1), (1714, 1), (1845, 1), (3221, 1), (5491, 1), (6945, 1)], [(8, 1), (65, 1), (117, 1), (119, 1), (439, 1), (469, 1), (1212, 1), (10317, 1), (10318, 1), (10319, 1)], [(7, 1), (53, 1), (247, 1), (7212, 1), (8147, 1)], [(31, 1), (65, 1), (247, 1), (3540, 1), (4519, 1), (5921, 1)], [(7, 1), (19, 1), (247, 1), (5478, 1), (7363, 1), (10532, 1)], [(8, 1), (7074, 1)], [(24, 1), (247, 1), (6359, 1)], [(53, 1), (247, 1), (6359, 1)], [(20, 1), (247, 1), (1580, 1), (1963, 1), (10533, 1)], [(10, 1), (960, 1), (10427, 1), (10534, 1)], [(10, 1), (155, 1), (439, 1), (10348, 1), (10535, 1), (10536, 1), (10537, 1)], [(1714, 1), (10538, 1)], [(247, 1), (345, 1), (744, 1), (2912, 1), (10533, 1)], [(20, 1), (247, 1), (10539, 1), (10540, 1)], [(53, 1), (65, 1), (247, 1), (328, 1), (378, 1), (5331, 1), (9942, 1)], [(65, 1), (247, 1), (10541, 1), (10542, 1)], [(247, 1), (332, 1)], [(20, 2), (53, 1), (226, 1), (247, 1), (320, 1), (3036, 1), (5743, 1), (6900, 1), (8198, 1), (10543, 1)], [(20, 1), (31, 1), (50, 1), (53, 3), (117, 1), (122, 1), (232, 1), (247, 1), (361, 1), (827, 1), (833, 1), (1140, 1), (2344, 1), (2470, 1), (8370, 1), (10544, 1)], [(32, 1), (117, 1), (287, 1), (337, 1), (1075, 1), (1714, 1), (2010, 1), (4173, 1), (10545, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (37, 1), (117, 1), (226, 1), (287, 1), (301, 1), (328, 1), (711, 1), (759, 1), (1907, 1), (10546, 1)], [(8, 1), (19, 2), (22, 1), (53, 1), (117, 2), (414, 1), (711, 1), (1001, 1), (2906, 1), (5895, 1), (9720, 1), (10547, 1), (10548, 1)], [(247, 1), (414, 1), (2320, 1), (10402, 1)], [(18, 1), (20, 1), (96, 1), (247, 1), (6359, 1), (10549, 1)], [(8, 1), (20, 1), (21, 1), (214, 2), (301, 1), (324, 1), (328, 1), (711, 2), (778, 1), (834, 1), (1824, 1), (2470, 1), (7050, 1), (10550, 1)], [(1714, 1), (10515, 1), (10550, 1)], [(20, 1), (95, 1), (247, 1), (778, 1), (10551, 1)], [(247, 1), (10551, 1)], [(20, 1), (21, 1), (23, 1), (25, 1), (32, 1), (37, 1), (53, 1), (95, 1), (172, 1), (247, 1), (325, 1), (450, 1), (778, 1), (1731, 1), (2030, 1), (5321, 1), (10551, 1)], [(50, 1), (247, 1), (256, 1), (776, 1), (3384, 1), (3786, 1), (10551, 1)], [(19, 1), (21, 2), (25, 1), (30, 1), (31, 1), (37, 1), (50, 1), (51, 1), (58, 1), (90, 1), (117, 1), (185, 1), (247, 1), (506, 1), (516, 1), (531, 1), (645, 1), (777, 1), (1308, 1), (1580, 1), (2906, 1), (2917, 1), (2966, 1), (4062, 1), (7415, 1), (8204, 1), (10552, 1), (10553, 1)], [(19, 1), (20, 2), (22, 1), (30, 1), (31, 1), (37, 1), (90, 1), (109, 1), (172, 2), (185, 1), (226, 1), (247, 1), (262, 1), (268, 1), (306, 1), (310, 1), (328, 1), (332, 1), (357, 1), (414, 1), (600, 1), (739, 1), (778, 1), (1583, 1), (1858, 1), (2283, 1), (2401, 1), (2745, 1), (3121, 1), (3269, 1), (3289, 1), (4618, 1), (4856, 1), (9018, 1)], [(1544, 1), (10554, 1)], [(1, 1), (4, 1), (8, 1)], [(8, 1), (20, 4), (22, 3), (23, 3), (25, 3), (31, 1), (50, 2), (53, 2), (54, 1), (55, 2), (90, 1), (124, 1), (170, 1), (186, 1), (217, 1), (269, 1), (347, 2), (792, 1), (915, 1), (1506, 1), (1580, 4), (1593, 1), (1628, 1), (1877, 1), (2630, 2), (2656, 1), (3176, 1), (4205, 1), (4628, 1), (6495, 1), (7881, 1), (8597, 1), (10555, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (54, 1), (117, 1), (126, 1), (232, 1), (506, 1), (903, 1), (1862, 1), (2168, 1), (2495, 1), (3072, 1), (6315, 1), (10556, 1), (10557, 1), (10558, 1)], [(8, 1), (23, 2), (25, 2), (37, 1), (50, 2), (53, 2), (83, 1), (84, 1), (90, 1), (283, 1), (305, 1), (347, 1), (381, 1), (599, 1), (771, 1), (1068, 1), (2514, 1), (4435, 1), (9554, 1), (10559, 1), (10560, 1), (10561, 1), (10562, 1)], [(7, 1), (8, 1), (20, 3), (53, 2), (193, 1), (286, 1), (347, 1), (448, 1), (518, 1), (756, 2), (834, 1), (940, 1), (1102, 1), (1253, 1), (1308, 1), (1342, 1), (3763, 1), (4081, 1), (5368, 1), (7144, 1), (8340, 1), (10515, 1), (10563, 1), (10564, 1), (10565, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (25, 1), (30, 2), (37, 1), (45, 1), (50, 3), (53, 1), (54, 1), (82, 1), (91, 2), (182, 1), (215, 1), (301, 1), (323, 1), (347, 2), (1070, 1), (1308, 1), (1520, 1), (1529, 1), (1644, 1), (1824, 1), (2785, 1), (2819, 1), (3121, 1), (3171, 1), (3219, 2), (5942, 1), (9236, 1), (9534, 1)], [(1, 1), (4, 1), (8, 1), (18, 3), (19, 2), (20, 7), (22, 4), (25, 1), (37, 1), (50, 7), (53, 9), (55, 1), (56, 1), (65, 4), (91, 1), (92, 1), (95, 1), (108, 1), (109, 1), (111, 2), (124, 1), (161, 1), (174, 1), (206, 1), (215, 1), (228, 1), (286, 1), (293, 1), (406, 1), (414, 1), (415, 1), (450, 1), (459, 1), (697, 1), (711, 1), (752, 1), (777, 1), (812, 1), (813, 1), (829, 1), (855, 1), (908, 1), (1129, 1), (1270, 1), (1488, 1), (1587, 1), (1600, 1), (1873, 1), (2034, 1), (2096, 1), (2120, 1), (2543, 1), (2744, 1), (2819, 1), (2826, 1), (2933, 1), (2985, 2), (3330, 1), (3658, 1), (3700, 1), (3978, 1), (5031, 1), (5986, 1), (6089, 1), (6491, 1), (6623, 1), (6672, 1), (6809, 1), (7395, 1), (7824, 1), (7955, 1), (8117, 1), (9358, 1), (9849, 1), (10566, 1), (10567, 1), (10568, 1), (10569, 1), (10570, 1), (10571, 1), (10572, 1), (10573, 1)], [(1, 1), (4, 1), (8, 1), (18, 3), (19, 4), (20, 9), (22, 1), (23, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 2), (58, 1), (71, 1), (82, 1), (90, 2), (91, 1), (95, 2), (97, 1), (111, 3), (122, 1), (172, 2), (193, 1), (203, 1), (217, 1), (268, 1), (273, 1), (334, 1), (337, 1), (347, 1), (414, 1), (415, 1), (448, 1), (531, 1), (744, 4), (756, 1), (833, 1), (876, 1), (1253, 1), (1342, 1), (1522, 1), (2230, 1), (2928, 1), (3419, 1), (3475, 1), (3670, 1), (3726, 1), (4145, 1), (6367, 1), (7442, 1), (10574, 1), (10575, 1), (10576, 1), (10577, 1), (10578, 1), (10579, 1), (10580, 1), (10581, 1)], [(1, 1), (4, 1), (7, 2), (8, 1), (19, 4), (20, 10), (22, 2), (25, 2), (31, 1), (50, 3), (53, 7), (54, 1), (58, 2), (82, 1), (90, 1), (108, 1), (124, 1), (173, 1), (193, 1), (215, 2), (217, 1), (323, 1), (334, 1), (347, 1), (381, 1), (407, 1), (459, 2), (559, 1), (744, 1), (756, 2), (829, 1), (833, 1), (834, 1), (1070, 1), (1253, 2), (1282, 1), (1393, 1), (1499, 1), (1596, 1), (1723, 1), (1742, 1), (2148, 1), (2162, 1), (3237, 1), (3352, 1), (3478, 1), (3916, 1), (4033, 1), (4073, 2), (4299, 1), (5910, 1), (6334, 1), (6336, 1), (6402, 1), (7769, 1), (8534, 1), (10582, 1), (10583, 1), (10584, 1), (10585, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (90, 1), (95, 1), (217, 1), (347, 1), (359, 1), (697, 1), (1310, 1), (2036, 1), (4081, 1), (4694, 1), (6315, 1), (7395, 1), (7964, 1), (8302, 1)], [(7, 1), (8, 1), (20, 5), (22, 1), (25, 1), (30, 2), (31, 1), (50, 5), (53, 3), (69, 1), (90, 1), (91, 1), (95, 1), (108, 3), (161, 1), (197, 1), (215, 3), (269, 1), (323, 1), (331, 1), (347, 1), (387, 1), (415, 1), (687, 1), (711, 1), (756, 1), (774, 1), (834, 1), (1311, 1), (1668, 1), (2388, 1), (3363, 1), (3501, 1), (5547, 1), (9172, 1), (10515, 1), (10586, 1)], [(1, 1), (4, 1), (8, 1), (19, 4), (20, 5), (21, 2), (22, 2), (25, 2), (31, 1), (37, 1), (50, 3), (53, 4), (82, 1), (111, 1), (170, 1), (193, 1), (206, 1), (228, 1), (256, 1), (281, 1), (283, 1), (301, 1), (347, 2), (406, 1), (450, 1), (487, 1), (702, 1), (744, 1), (756, 1), (792, 1), (834, 2), (1348, 1), (1642, 1), (1884, 1), (2344, 1), (2608, 1), (2716, 1), (3582, 1), (4146, 1), (4600, 1), (5158, 1), (5498, 1), (5854, 1), (5910, 1), (6543, 1), (7859, 1), (7898, 1), (7964, 1), (9250, 1), (10515, 1), (10587, 1), (10588, 1), (10589, 1), (10590, 1), (10591, 1), (10592, 1), (10593, 1), (10594, 1), (10595, 1), (10596, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (37, 1), (50, 2), (53, 2), (94, 1), (124, 1), (206, 1), (792, 1), (861, 1), (1702, 1), (2168, 1), (3043, 1), (4326, 1), (6913, 1), (10597, 1), (10598, 1), (10599, 1), (10600, 1), (10601, 1)], [(8, 1), (19, 3), (20, 4), (22, 1), (26, 1), (31, 2), (37, 1), (50, 3), (53, 2), (77, 1), (82, 1), (85, 1), (90, 1), (91, 1), (108, 1), (124, 1), (161, 1), (215, 1), (256, 1), (265, 1), (286, 1), (328, 1), (452, 1), (505, 1), (833, 1), (1041, 1), (1308, 1), (1348, 1), (1559, 1), (1640, 1), (1685, 1), (1932, 1), (2168, 1), (2297, 1), (3402, 1), (3680, 1), (3762, 1), (4438, 1), (5148, 1), (5310, 1), (6424, 1), (8690, 1), (10601, 2), (10602, 1), (10603, 1), (10604, 1), (10605, 1), (10606, 1), (10607, 1), (10608, 1)], [(8, 1), (20, 2), (25, 1), (31, 2), (50, 2), (53, 5), (95, 1), (97, 1), (185, 1), (197, 1), (215, 1), (275, 1), (293, 1), (328, 1), (331, 1), (365, 1), (405, 1), (415, 1), (505, 1), (813, 1), (1196, 1), (4073, 1), (4438, 1), (7445, 1), (10601, 1), (10609, 1), (10610, 2), (10611, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 4), (22, 2), (25, 1), (26, 1), (31, 1), (37, 3), (50, 1), (53, 2), (55, 1), (75, 1), (76, 1), (77, 1), (82, 2), (90, 1), (91, 1), (109, 1), (188, 1), (214, 2), (215, 1), (220, 1), (256, 2), (286, 1), (365, 1), (407, 1), (428, 1), (443, 1), (691, 1), (711, 2), (1041, 1), (1070, 1), (1088, 1), (1308, 2), (1414, 1), (1471, 1), (2076, 2), (2160, 1), (2977, 2), (3724, 1), (6222, 1), (7160, 1), (7900, 1), (10612, 1), (10613, 1), (10614, 1), (10615, 1)], [(7, 1), (8, 1), (18, 4), (19, 2), (20, 7), (22, 1), (25, 2), (31, 2), (37, 1), (45, 1), (50, 1), (53, 2), (55, 1), (65, 1), (77, 1), (82, 1), (90, 2), (99, 2), (111, 1), (161, 1), (173, 1), (215, 1), (228, 1), (278, 1), (285, 1), (386, 1), (678, 1), (702, 1), (744, 3), (885, 1), (958, 1), (1071, 1), (1102, 1), (1240, 1), (1403, 2), (1596, 1), (1747, 1), (2019, 1), (2087, 1), (2228, 1), (2751, 1), (2764, 1), (3211, 1), (3413, 1), (3426, 1), (3734, 1), (3994, 1), (4644, 1), (4652, 1), (5174, 1), (5472, 1), (6150, 1), (6424, 1), (7681, 1), (7824, 1), (10616, 1), (10617, 1), (10618, 1)], [(1, 1), (4, 1), (8, 1), (20, 5), (25, 1), (31, 1), (37, 1), (40, 1), (50, 3), (53, 5), (55, 2), (65, 1), (90, 2), (97, 1), (109, 2), (163, 1), (175, 1), (756, 1), (777, 1), (792, 1), (897, 1), (904, 1), (1165, 1), (1305, 1), (1350, 1), (1467, 1), (1600, 1), (2005, 1), (2100, 1), (2202, 1), (2862, 1), (3107, 1), (3738, 1), (4600, 1), (5290, 1), (6516, 1), (6543, 1), (7399, 1), (8415, 1), (10515, 1), (10601, 1), (10619, 1), (10620, 1), (10621, 1), (10622, 1), (10623, 1), (10624, 1), (10625, 1), (10626, 1), (10627, 1), (10628, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 4), (31, 1), (45, 1), (50, 3), (53, 2), (90, 2), (173, 1), (193, 1), (202, 1), (228, 1), (241, 1), (323, 1), (327, 1), (347, 1), (459, 1), (744, 1), (756, 1), (792, 1), (834, 2), (1088, 1), (1520, 2), (2030, 1), (2162, 1), (2757, 1), (4659, 1), (5735, 1), (5910, 1), (6535, 1), (7395, 1), (10515, 1), (10601, 1)], [(8, 1), (25, 1), (124, 1), (193, 1), (301, 1), (328, 1), (415, 1), (459, 1), (608, 1), (1702, 1), (2087, 1), (4379, 1), (6464, 1)], [(8, 1), (18, 1), (20, 2), (26, 1), (37, 1), (50, 4), (53, 6), (85, 1), (109, 1), (193, 1), (215, 2), (225, 1), (260, 1), (361, 1), (415, 1), (756, 1), (1118, 1), (1253, 1), (1311, 1), (1471, 1), (2248, 1), (2660, 1), (4103, 1), (4296, 1), (4349, 1), (9521, 1), (10578, 1), (10629, 1)], [(8, 1), (18, 2), (19, 3), (20, 13), (21, 1), (22, 2), (25, 2), (31, 2), (49, 1), (50, 3), (53, 8), (55, 2), (77, 1), (82, 1), (91, 1), (95, 1), (109, 1), (111, 3), (161, 1), (172, 1), (185, 1), (190, 1), (193, 1), (206, 1), (214, 2), (246, 1), (256, 1), (285, 1), (323, 2), (328, 1), (351, 1), (361, 1), (381, 1), (399, 2), (414, 1), (450, 1), (600, 1), (756, 2), (812, 1), (834, 2), (974, 1), (1070, 1), (1102, 1), (1166, 1), (1253, 2), (1293, 1), (1384, 1), (1391, 1), (1454, 1), (1471, 1), (1487, 1), (1499, 1), (1517, 1), (1613, 1), (1699, 1), (1966, 1), (1977, 1), (2096, 2), (2168, 1), (2564, 1), (2660, 1), (2847, 1), (2914, 1), (3284, 1), (4368, 1), (5076, 1), (6006, 1), (6177, 1), (6518, 1), (6562, 1), (6623, 1), (7442, 1), (8307, 1), (8686, 1), (9250, 1), (9266, 1), (9402, 1), (10630, 1), (10631, 1), (10632, 1), (10633, 1), (10634, 1), (10635, 1), (10636, 1), (10637, 1), (10638, 1), (10639, 1)], [(8, 1), (20, 1), (30, 1), (50, 2), (53, 2), (65, 1), (77, 1), (97, 1), (124, 1), (334, 1), (414, 1), (756, 1), (833, 1), (834, 1), (1253, 1), (1363, 1), (3043, 1), (3598, 1), (3982, 1), (7517, 1), (9185, 1), (10640, 1), (10641, 1), (10642, 1), (10643, 1)], [(8, 1), (18, 1), (19, 4), (20, 1), (21, 2), (22, 1), (25, 1), (31, 2), (32, 1), (45, 1), (50, 1), (53, 3), (58, 1), (71, 3), (82, 1), (108, 1), (164, 1), (169, 1), (197, 1), (215, 2), (256, 1), (293, 1), (307, 1), (331, 1), (347, 1), (365, 1), (415, 1), (419, 1), (422, 1), (441, 1), (448, 1), (504, 1), (601, 1), (756, 1), (976, 1), (1021, 1), (1041, 1), (1253, 1), (1308, 1), (1770, 1), (2693, 1), (2744, 1), (3680, 1), (3804, 1), (4401, 1), (5744, 1), (8341, 1), (8645, 1), (10644, 1), (10645, 1), (10646, 1), (10647, 1), (10648, 1), (10649, 1), (10650, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (69, 1), (111, 1), (117, 1), (206, 1), (215, 1), (232, 1), (260, 1), (293, 1), (310, 1), (459, 1), (1282, 1), (1342, 1), (3043, 1), (3417, 1), (5957, 1), (8648, 1), (10651, 1)], [(10, 1), (11, 1), (19, 1), (20, 2), (25, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 5), (55, 2), (64, 2), (66, 1), (74, 1), (90, 1), (193, 1), (214, 1), (215, 1), (286, 1), (305, 1), (407, 1), (450, 1), (744, 1), (756, 1), (904, 1), (983, 1), (1097, 1), (1163, 1), (1253, 1), (1377, 1), (1477, 1), (1668, 1), (3237, 1), (3756, 1), (4184, 1), (4357, 1), (4600, 1), (4827, 1), (5484, 1), (7288, 1), (8660, 1), (9288, 1), (10562, 1), (10652, 1), (10653, 1), (10654, 1), (10655, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (31, 5), (50, 3), (53, 6), (77, 1), (91, 1), (201, 1), (206, 1), (215, 1), (260, 1), (263, 1), (331, 1), (448, 1), (450, 2), (744, 1), (830, 1), (1824, 1), (1909, 1), (4073, 1), (5543, 1), (5910, 1), (6940, 1), (7880, 1), (7903, 1), (9653, 1), (10578, 1), (10645, 1), (10656, 1), (10657, 1), (10658, 1), (10659, 1), (10660, 1), (10661, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (18, 1), (19, 4), (20, 5), (22, 1), (25, 3), (30, 1), (31, 2), (50, 3), (53, 6), (54, 2), (58, 1), (71, 1), (82, 2), (90, 2), (108, 1), (174, 1), (185, 1), (193, 1), (215, 1), (241, 1), (412, 1), (415, 1), (420, 1), (531, 1), (600, 1), (601, 1), (645, 1), (744, 2), (756, 2), (940, 1), (1166, 1), (1253, 2), (1287, 1), (1379, 1), (1384, 1), (1467, 1), (1471, 1), (1520, 1), (1686, 1), (1824, 1), (2162, 1), (2231, 1), (2253, 1), (2320, 1), (3218, 1), (3330, 1), (3742, 1), (4073, 1), (4875, 1), (7337, 1), (7872, 1), (8053, 1), (8134, 1), (10601, 1), (10662, 1), (10663, 1), (10664, 1), (10665, 1), (10666, 1), (10667, 1), (10668, 1), (10669, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (58, 1), (71, 2), (285, 1), (428, 1), (658, 1), (2185, 1), (2769, 1), (5166, 1), (7899, 1), (10670, 1)], [(8, 1), (20, 1), (71, 1), (90, 1), (185, 1), (214, 1), (328, 1), (448, 1), (706, 1), (830, 1), (1549, 1), (7605, 1), (10671, 1), (10672, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 4), (20, 6), (22, 1), (25, 3), (30, 1), (31, 1), (50, 3), (53, 3), (82, 1), (109, 1), (161, 1), (206, 1), (260, 1), (323, 2), (328, 1), (448, 1), (459, 3), (487, 1), (504, 1), (526, 1), (654, 2), (691, 1), (809, 1), (1070, 1), (1308, 1), (1702, 1), (2253, 1), (2819, 1), (2855, 1), (2977, 1), (3828, 1), (4416, 1), (4428, 1), (4580, 1), (4684, 1), (5072, 1), (7093, 1), (8852, 1), (9927, 1), (10660, 1), (10673, 1), (10674, 1), (10675, 1), (10676, 1)], [(1, 1), (4, 1), (8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (31, 2), (50, 3), (53, 6), (54, 2), (55, 1), (71, 1), (90, 2), (173, 1), (193, 2), (215, 1), (217, 1), (269, 1), (309, 1), (336, 1), (347, 1), (756, 1), (922, 1), (1342, 1), (1570, 1), (2168, 1), (2344, 1), (2686, 1), (3171, 1), (3424, 1), (6342, 1), (7442, 1), (7547, 1), (7824, 1), (8296, 1), (8417, 1), (10515, 1), (10578, 1), (10624, 1), (10677, 1), (10678, 1)], [(8, 1), (20, 2), (50, 1), (54, 1), (172, 1), (185, 1), (203, 1), (215, 1), (217, 1), (253, 1), (448, 1), (654, 1), (744, 1), (2657, 1), (3043, 1), (3852, 1), (6808, 1), (7547, 1), (9561, 1), (10578, 1), (10660, 1)], [(8, 1), (18, 1), (19, 5), (20, 6), (22, 2), (25, 2), (31, 2), (45, 1), (50, 2), (53, 10), (55, 1), (91, 1), (109, 1), (172, 2), (173, 1), (215, 1), (217, 1), (260, 1), (286, 1), (293, 1), (334, 2), (337, 1), (407, 3), (420, 1), (518, 1), (587, 1), (744, 1), (756, 1), (812, 1), (814, 1), (1071, 1), (1253, 1), (1330, 1), (1342, 2), (1377, 1), (1466, 1), (1596, 1), (1613, 1), (1807, 1), (1824, 1), (2095, 1), (3330, 1), (3495, 1), (3524, 1), (3550, 1), (3829, 1), (3831, 1), (4365, 1), (6982, 1), (8555, 1), (8635, 1), (8923, 1), (9782, 1), (10679, 1), (10680, 1), (10681, 1), (10682, 1), (10683, 1), (10684, 1), (10685, 1), (10686, 1), (10687, 1), (10688, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 3), (25, 2), (31, 3), (46, 1), (50, 1), (53, 3), (65, 1), (77, 1), (90, 1), (95, 1), (122, 1), (172, 2), (187, 1), (215, 1), (217, 2), (240, 2), (246, 1), (281, 1), (355, 1), (387, 2), (448, 1), (518, 1), (578, 1), (609, 1), (725, 1), (894, 1), (1155, 1), (1157, 1), (1235, 1), (1293, 1), (1348, 1), (1517, 1), (1740, 1), (2479, 1), (2718, 1), (3025, 1), (4620, 1), (5578, 1), (5833, 1), (8622, 1), (10689, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (50, 2), (53, 2), (58, 2), (71, 1), (77, 1), (82, 1), (90, 2), (166, 1), (172, 1), (206, 1), (217, 1), (225, 1), (228, 1), (412, 1), (418, 1), (448, 1), (452, 1), (1342, 1), (2036, 1), (3043, 1), (3114, 1), (5837, 1), (5854, 1), (6402, 1), (10690, 1), (10691, 1)], [(7, 2), (8, 1), (18, 2), (19, 2), (20, 5), (53, 2), (54, 1), (58, 1), (90, 1), (95, 1), (117, 1), (174, 1), (217, 1), (225, 1), (293, 1), (448, 1), (645, 1), (812, 1), (1455, 1), (1457, 1), (1471, 1), (3043, 1), (5526, 1), (8132, 1), (9395, 2), (9413, 1)], [(7, 2), (8, 1), (10, 2), (18, 1), (19, 3), (20, 2), (25, 1), (31, 4), (50, 5), (51, 1), (53, 9), (54, 1), (69, 1), (71, 1), (90, 2), (97, 1), (109, 1), (124, 1), (172, 1), (186, 1), (206, 1), (214, 1), (226, 1), (233, 1), (241, 1), (246, 2), (328, 1), (355, 1), (459, 1), (531, 1), (600, 1), (672, 2), (702, 1), (707, 2), (1043, 1), (1471, 1), (1702, 1), (1880, 1), (1884, 1), (2190, 1), (2233, 1), (2553, 1), (2744, 1), (3506, 1), (3540, 1), (4491, 1), (4538, 1), (4652, 1), (5586, 1), (6347, 1), (6818, 2), (8132, 1), (8690, 1), (8923, 1), (10692, 1), (10693, 1), (10694, 1), (10695, 1), (10696, 1), (10697, 1), (10698, 1), (10699, 1), (10700, 1), (10701, 1), (10702, 1), (10703, 1), (10704, 1)], [(1, 1), (4, 1), (8, 1), (10, 1), (18, 2), (19, 1), (20, 8), (22, 5), (25, 1), (31, 4), (40, 1), (45, 2), (50, 3), (53, 1), (55, 1), (58, 1), (71, 5), (77, 1), (82, 1), (90, 3), (108, 2), (111, 1), (124, 1), (173, 2), (182, 1), (206, 1), (215, 1), (256, 3), (285, 3), (287, 1), (289, 1), (337, 1), (347, 1), (353, 1), (428, 1), (448, 1), (450, 1), (504, 1), (661, 1), (743, 3), (744, 2), (756, 1), (776, 1), (897, 1), (1021, 1), (1072, 1), (1102, 1), (1196, 1), (1308, 1), (1324, 2), (1342, 1), (1458, 1), (1471, 1), (1668, 1), (1702, 2), (1734, 1), (2018, 1), (2336, 1), (2428, 1), (2608, 1), (2687, 1), (2772, 1), (2785, 1), (3444, 1), (3448, 1), (3475, 1), (3760, 1), (4138, 1), (4392, 1), (5157, 1), (5854, 1), (6818, 1), (7477, 1), (7896, 1), (8137, 1), (8814, 1), (10515, 1), (10646, 1), (10678, 1), (10701, 1), (10705, 1), (10706, 1), (10707, 1), (10708, 1), (10709, 1), (10710, 1), (10711, 1), (10712, 1), (10713, 1), (10714, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 1), (50, 2), (53, 3), (54, 1), (55, 1), (206, 1), (260, 1), (301, 1), (327, 1), (328, 1), (381, 1), (885, 1), (1966, 1), (2051, 1), (3738, 1), (3808, 1), (4619, 1), (5754, 1), (10715, 1), (10716, 1), (10717, 1), (10718, 1)], [(8, 1), (18, 2), (20, 5), (21, 1), (25, 1), (30, 1), (45, 1), (54, 2), (58, 1), (65, 1), (82, 1), (85, 1), (90, 1), (109, 1), (187, 1), (215, 1), (256, 1), (286, 1), (289, 2), (293, 2), (415, 1), (525, 1), (778, 2), (976, 1), (1012, 1), (1393, 1), (1495, 1), (2198, 1), (2732, 1), (2756, 1), (2831, 1), (4103, 1), (6213, 1), (6367, 1), (10719, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (30, 1), (31, 1), (45, 2), (53, 2), (173, 1), (174, 1), (193, 1), (260, 1), (323, 1), (459, 1), (518, 1), (834, 1), (1245, 1), (1456, 1), (1644, 1), (3550, 1), (5201, 1), (5410, 1), (6183, 1), (6695, 1), (10720, 1), (10721, 1), (10722, 1)], [(7, 1), (8, 1), (18, 3), (20, 10), (22, 1), (24, 1), (25, 2), (26, 1), (31, 1), (37, 1), (45, 3), (50, 3), (53, 3), (54, 1), (55, 2), (65, 1), (78, 1), (81, 1), (90, 1), (92, 1), (173, 1), (182, 1), (193, 1), (293, 1), (347, 1), (365, 1), (420, 1), (427, 1), (697, 1), (756, 1), (922, 1), (1012, 1), (1229, 1), (1806, 1), (2276, 1), (2656, 1), (2785, 1), (2862, 1), (3937, 1), (4014, 1), (5065, 1), (5486, 1), (5487, 1), (6261, 1), (7105, 1), (8146, 1), (8316, 1), (8860, 1), (8874, 1), (9024, 1), (10007, 1), (10515, 1), (10723, 1), (10724, 1), (10725, 1), (10726, 1), (10727, 1), (10728, 1)], [(8, 1), (19, 1), (20, 7), (25, 1), (31, 1), (45, 4), (53, 1), (54, 1), (55, 1), (58, 1), (90, 2), (95, 1), (97, 1), (173, 1), (215, 1), (289, 1), (293, 1), (347, 1), (777, 2), (876, 1), (1088, 1), (1458, 1), (1824, 1), (1911, 2), (2717, 1), (3043, 1), (3937, 1), (4697, 1), (5743, 1), (5854, 1), (6416, 1), (6436, 1), (7399, 1), (7605, 1), (7874, 1), (9402, 1), (9927, 1), (10576, 1), (10584, 1), (10718, 1), (10729, 1)], [(8, 1), (20, 1), (37, 1), (45, 1), (50, 1), (124, 1), (833, 2), (1477, 1), (1499, 1), (2016, 1), (5144, 1), (6150, 1), (8371, 1), (8692, 1), (10730, 1)], [(8, 1), (19, 3), (20, 7), (25, 1), (31, 1), (45, 1), (46, 1), (50, 1), (55, 1), (91, 2), (111, 1), (173, 1), (197, 1), (217, 1), (281, 1), (286, 1), (307, 1), (310, 1), (347, 1), (420, 1), (450, 2), (626, 1), (679, 1), (709, 1), (913, 1), (974, 1), (990, 1), (1122, 1), (1856, 1), (2621, 1), (2744, 1), (3726, 1), (4408, 1), (5204, 1), (5740, 1), (5744, 1), (10685, 1), (10731, 1), (10732, 1), (10733, 1), (10734, 1)], [(8, 1), (45, 1), (347, 1), (841, 1), (2253, 1), (3726, 1), (8603, 1), (10735, 1)], [(7, 2), (8, 1), (20, 6), (22, 1), (31, 2), (50, 1), (53, 2), (54, 1), (82, 1), (90, 2), (111, 1), (117, 1), (173, 1), (197, 1), (201, 1), (215, 1), (217, 1), (232, 1), (268, 1), (301, 1), (407, 1), (459, 1), (531, 1), (744, 1), (756, 1), (884, 1), (892, 1), (903, 1), (983, 1), (1102, 1), (1310, 1), (1498, 1), (1824, 1), (3380, 1), (3417, 1), (3830, 1), (4073, 1), (4304, 1), (4465, 1), (5236, 1), (6336, 1), (6402, 1), (8039, 1), (10515, 1), (10736, 1), (10737, 1), (10738, 1), (10739, 1), (10740, 1), (10741, 1)], [(8, 1), (18, 2), (19, 1), (20, 9), (25, 1), (45, 1), (50, 6), (53, 6), (85, 1), (90, 1), (95, 1), (96, 1), (111, 1), (117, 1), (124, 1), (193, 1), (215, 1), (232, 1), (414, 1), (420, 1), (428, 1), (459, 1), (504, 1), (711, 1), (778, 1), (897, 1), (913, 1), (1100, 1), (1375, 1), (2503, 1), (2620, 1), (2895, 1), (3205, 1), (4193, 1), (4553, 1), (4890, 1), (5420, 1), (5501, 1), (5910, 1), (6327, 1), (6424, 1), (7898, 1), (7899, 1), (8293, 1), (8544, 1), (10578, 1), (10742, 1), (10743, 1), (10744, 1), (10745, 1), (10746, 1), (10747, 1), (10748, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 2), (30, 1), (31, 1), (45, 2), (50, 1), (53, 5), (55, 1), (65, 2), (95, 2), (109, 1), (193, 2), (215, 1), (269, 1), (338, 1), (347, 1), (462, 1), (505, 1), (531, 1), (600, 1), (913, 1), (1197, 1), (1239, 1), (1248, 1), (1255, 1), (1325, 1), (2479, 1), (2716, 1), (2864, 1), (3000, 1), (3745, 1), (4557, 1), (4686, 1), (5024, 1), (5100, 1), (5795, 1), (6221, 1), (6794, 1), (7434, 1), (7548, 1), (10749, 1), (10750, 1), (10751, 1), (10752, 1), (10753, 1)], [(8, 1), (54, 1), (658, 1), (1325, 1), (6315, 1)], [(1, 1), (4, 1), (8, 1), (18, 2), (20, 3), (30, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 1), (58, 1), (65, 1), (90, 1), (117, 1), (215, 1), (232, 1), (331, 1), (347, 1), (897, 1), (1071, 1), (1088, 1), (1324, 1), (1856, 1), (2690, 1), (2696, 1), (2700, 1), (2701, 1), (2702, 1), (3638, 1), (5743, 1), (5795, 1), (6315, 1), (7592, 1), (8640, 1)], [(8, 1), (20, 2), (30, 1), (55, 1), (111, 1), (124, 1), (166, 1), (172, 1), (268, 1), (1165, 1), (3031, 1), (3916, 1), (9371, 1), (9971, 1), (10754, 1), (10755, 1), (10756, 1), (10757, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (25, 1), (30, 1), (31, 1), (37, 3), (40, 1), (45, 3), (53, 2), (54, 1), (55, 1), (69, 1), (82, 1), (90, 3), (95, 1), (108, 1), (124, 1), (173, 1), (193, 1), (256, 1), (305, 1), (328, 1), (347, 1), (426, 1), (597, 1), (605, 1), (897, 1), (1308, 1), (1415, 1), (2168, 1), (2197, 1), (2344, 1), (3582, 1), (3915, 1), (4404, 1), (5384, 1), (6315, 1), (6427, 1), (6845, 1), (7395, 1), (9307, 1), (10758, 1), (10759, 1), (10760, 1), (10761, 1), (10762, 1)], [(8, 1), (18, 2), (20, 1), (24, 1), (25, 1), (29, 1), (30, 1), (31, 1), (37, 1), (50, 1), (53, 1), (55, 1), (91, 1), (97, 1), (214, 1), (215, 1), (262, 1), (307, 1), (338, 1), (414, 1), (448, 1), (600, 1), (672, 1), (711, 1), (756, 1), (834, 1), (1057, 1), (1100, 1), (1350, 2), (1656, 1), (5858, 1), (8415, 1), (8576, 1), (10515, 1), (10763, 1), (10764, 1), (10765, 1)], [(8, 1), (19, 2), (20, 3), (22, 3), (25, 1), (31, 1), (37, 1), (50, 2), (53, 6), (58, 2), (65, 1), (82, 1), (91, 1), (95, 1), (97, 2), (109, 1), (167, 1), (173, 1), (212, 1), (217, 1), (225, 1), (246, 1), (256, 1), (260, 1), (269, 1), (305, 1), (310, 1), (450, 1), (516, 1), (620, 1), (658, 1), (778, 1), (792, 1), (1041, 1), (1350, 1), (1377, 1), (1738, 1), (1902, 1), (2151, 1), (3363, 1), (4977, 1), (5343, 1), (5513, 1), (5552, 1), (6315, 1), (7769, 1), (9401, 1), (10576, 1), (10766, 1), (10767, 1), (10768, 1), (10769, 1), (10770, 1), (10771, 1), (10772, 1), (10773, 1), (10774, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 3), (22, 5), (25, 4), (27, 1), (31, 2), (37, 5), (50, 2), (53, 4), (55, 1), (58, 1), (90, 3), (186, 1), (236, 1), (353, 1), (407, 1), (459, 1), (487, 1), (505, 1), (1859, 1), (2849, 1), (3409, 1), (3916, 1), (4406, 1), (4733, 1), (6315, 1), (8219, 1), (8487, 1), (10486, 1), (10627, 1), (10775, 1), (10776, 1), (10777, 1), (10778, 1), (10779, 1), (10780, 1), (10781, 1), (10782, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (29, 1), (36, 1), (37, 1), (45, 3), (50, 1), (53, 3), (58, 1), (95, 1), (109, 1), (117, 2), (173, 1), (215, 1), (217, 1), (232, 2), (281, 2), (310, 1), (347, 1), (504, 1), (778, 1), (897, 1), (1909, 1), (2732, 1), (2985, 1), (2995, 1), (3168, 1), (3331, 1), (3425, 1), (3746, 1), (3980, 1), (4116, 1), (4337, 1), (4903, 1), (9877, 1), (9988, 1), (10783, 1)], [(8, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 1), (77, 1), (82, 1), (90, 1), (122, 1), (185, 1), (193, 1), (1041, 1), (1342, 1), (1570, 1), (2354, 1), (3161, 1), (3661, 1), (5384, 1), (10784, 1), (10785, 1), (10786, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 1), (25, 1), (30, 1), (31, 2), (53, 3), (75, 1), (90, 1), (124, 1), (173, 3), (193, 1), (256, 3), (347, 1), (381, 1), (420, 1), (527, 1), (529, 1), (1025, 1), (1417, 1), (2157, 1), (2864, 1), (3331, 1), (3356, 1), (3594, 1), (5384, 1), (5942, 1), (6252, 1), (7718, 1), (8473, 1), (10787, 1), (10788, 1), (10789, 1), (10790, 1)], [(7, 1), (8, 1), (19, 1), (20, 7), (22, 2), (25, 5), (26, 1), (30, 1), (31, 2), (45, 1), (50, 1), (54, 1), (58, 1), (90, 2), (108, 1), (174, 1), (185, 1), (269, 2), (293, 1), (329, 1), (353, 1), (412, 1), (420, 1), (428, 1), (433, 1), (740, 1), (897, 1), (990, 1), (1587, 1), (1588, 1), (1628, 1), (1742, 1), (2156, 1), (2206, 1), (2265, 1), (2285, 1), (2324, 1), (2465, 1), (2650, 1), (3048, 1), (3221, 1), (3752, 1), (3754, 1), (4891, 1), (6176, 1), (6315, 1), (7899, 1), (8118, 1), (10791, 1), (10792, 1), (10793, 1), (10794, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 13), (22, 1), (25, 2), (30, 2), (31, 2), (37, 1), (45, 4), (50, 1), (53, 5), (54, 3), (58, 1), (90, 3), (109, 1), (173, 2), (193, 1), (215, 1), (256, 1), (260, 1), (328, 1), (337, 1), (414, 1), (459, 1), (526, 1), (658, 1), (675, 1), (740, 1), (744, 1), (897, 1), (1043, 1), (1102, 1), (1308, 1), (1488, 1), (1824, 2), (2228, 1), (2666, 1), (2667, 1), (2995, 1), (3048, 1), (3557, 1), (3638, 1), (3934, 1), (4379, 1), (4941, 1), (5282, 1), (5368, 1), (5712, 1), (5936, 1), (6770, 1), (7395, 1), (7470, 1), (7599, 1), (10785, 1), (10795, 1), (10796, 1), (10797, 1), (10798, 1), (10799, 2), (10800, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (50, 1), (53, 2), (65, 1), (173, 1), (359, 1), (2200, 1), (3221, 1), (3360, 1), (5476, 1), (6273, 1), (10801, 1)], [(8, 1), (19, 1), (20, 15), (22, 3), (25, 5), (30, 1), (31, 1), (32, 1), (33, 1), (37, 1), (45, 4), (51, 1), (53, 6), (54, 1), (55, 2), (90, 1), (109, 1), (117, 2), (124, 1), (170, 1), (173, 2), (201, 1), (232, 1), (260, 2), (331, 1), (332, 1), (414, 1), (420, 2), (426, 1), (428, 2), (580, 1), (645, 1), (686, 1), (709, 1), (776, 1), (897, 2), (903, 1), (1005, 1), (1010, 1), (1037, 1), (1082, 1), (1458, 1), (1656, 1), (1883, 1), (1997, 1), (2190, 1), (2206, 1), (2207, 1), (2258, 1), (2276, 1), (2365, 1), (2771, 1), (2895, 1), (3142, 1), (3172, 1), (3480, 1), (3524, 1), (3934, 1), (4575, 1), (5273, 1), (5734, 1), (5921, 1), (5986, 1), (6315, 1), (6798, 1), (7300, 1), (7303, 1), (7824, 1), (7913, 1), (9662, 1), (10795, 1), (10802, 1), (10803, 1), (10804, 1), (10805, 1)], [(8, 1), (18, 1), (25, 1), (77, 1), (387, 1), (407, 1), (5734, 1), (10583, 1), (10664, 1), (10806, 1), (10807, 1)], [(8, 1), (20, 1), (58, 2), (99, 1), (172, 1), (256, 1), (342, 1), (428, 1), (448, 1), (830, 1), (1080, 1), (1702, 1), (2986, 1), (3013, 1), (5082, 1), (10808, 1), (10809, 1)], [(8, 1), (20, 3), (22, 1), (53, 2), (82, 1), (90, 1), (92, 1), (117, 1), (232, 1), (256, 2), (263, 1), (420, 1), (507, 1), (516, 1), (3806, 1), (4857, 1), (6315, 1), (10810, 1), (10811, 1), (10812, 1), (10813, 1), (10814, 1), (10815, 1), (10816, 1), (10817, 1), (10818, 1), (10819, 1)], [(8, 1), (20, 3), (22, 1), (31, 2), (45, 2), (50, 2), (65, 1), (82, 2), (90, 1), (117, 1), (215, 1), (217, 1), (232, 1), (269, 2), (293, 1), (301, 1), (334, 1), (347, 2), (686, 1), (1656, 1), (2340, 2), (3111, 1), (4330, 1), (5734, 2), (6315, 1), (6416, 1), (6441, 2), (10785, 1), (10820, 1), (10821, 1)], [(8, 1), (20, 1), (32, 1), (53, 1), (307, 1), (658, 1), (672, 2), (2266, 1), (8039, 1), (10822, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (22, 1), (25, 2), (32, 1), (37, 1), (40, 1), (45, 3), (58, 1), (90, 2), (109, 1), (124, 1), (161, 1), (173, 1), (229, 1), (269, 2), (281, 2), (293, 1), (347, 1), (443, 1), (482, 1), (744, 1), (792, 1), (800, 1), (830, 1), (833, 1), (855, 1), (863, 1), (869, 1), (1041, 2), (1348, 1), (1376, 1), (1403, 1), (1449, 1), (1498, 1), (1909, 1), (1988, 1), (2406, 1), (2488, 1), (2812, 1), (2862, 1), (3221, 1), (4442, 1), (5712, 1), (6315, 1), (7906, 1), (8460, 1), (9321, 1), (10221, 1), (10816, 1), (10823, 1), (10824, 1), (10825, 1), (10826, 1)], [(8, 1), (20, 2), (22, 1), (77, 1), (106, 1), (117, 1), (232, 1), (289, 1), (907, 1), (1596, 1), (1824, 1), (1878, 1), (6315, 1), (7375, 1), (10827, 1), (10828, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (37, 1), (77, 1), (301, 1), (1823, 1), (3409, 1), (3986, 1), (10829, 1), (10830, 1)], [(19, 1), (20, 7), (21, 1), (22, 2), (25, 3), (29, 1), (31, 1), (32, 1), (45, 2), (50, 4), (53, 2), (58, 1), (88, 1), (109, 1), (117, 1), (168, 1), (185, 1), (201, 1), (226, 1), (232, 1), (247, 1), (295, 1), (310, 1), (324, 1), (388, 1), (414, 1), (419, 1), (452, 1), (531, 1), (587, 1), (645, 1), (697, 1), (800, 1), (834, 1), (1071, 2), (1130, 1), (1139, 2), (1348, 2), (1539, 1), (1630, 1), (1902, 1), (2553, 1), (2985, 1), (3101, 1), (3741, 1), (4317, 1), (4344, 1), (4840, 1), (4889, 1), (5360, 1), (6168, 1), (6181, 1), (9277, 1), (9393, 1), (10831, 1), (10832, 1), (10833, 1), (10834, 1), (10835, 1), (10836, 1), (10837, 1), (10838, 1), (10839, 1), (10840, 1), (10841, 1), (10842, 1), (10843, 1), (10844, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (45, 1), (50, 1), (53, 2), (55, 1), (90, 1), (173, 1), (241, 1), (293, 1), (334, 1), (414, 1), (447, 1), (508, 1), (516, 1), (2545, 1), (2556, 1), (2716, 1), (3740, 1), (3746, 1), (5053, 1), (5534, 1), (9393, 1), (10845, 1), (10846, 1), (10847, 1), (10848, 1), (10849, 1)], [(20, 2), (247, 1), (295, 2), (310, 1), (328, 1), (5360, 1), (10840, 1), (10850, 1), (10851, 1)], [(20, 1), (90, 1), (247, 1), (447, 1), (4145, 1), (5141, 1), (10852, 1)], [(126, 1), (247, 1), (1972, 1), (4542, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (51, 1), (53, 1), (65, 1), (109, 1), (173, 1), (190, 1), (295, 2), (324, 1), (643, 1), (702, 1), (792, 1), (1308, 1), (1616, 1), (2235, 1), (3203, 1), (4390, 1), (7088, 1), (10853, 1), (10854, 1), (10855, 1)], [(8, 1), (20, 4), (25, 1), (29, 1), (31, 1), (37, 1), (45, 1), (50, 1), (185, 1), (214, 1), (346, 1), (347, 1), (392, 1), (448, 1), (1449, 1), (1580, 3), (3221, 1), (4032, 1), (4465, 1), (6315, 1), (10856, 1), (10857, 1), (10858, 1)], [(8, 1), (19, 2), (20, 3), (22, 2), (31, 1), (53, 1), (90, 1), (111, 2), (173, 2), (174, 1), (448, 1), (654, 1), (792, 2), (810, 1), (813, 1), (1644, 1), (1702, 1), (1742, 1), (2666, 1), (4360, 1), (4619, 1), (4989, 1), (6803, 1), (10859, 1), (10860, 1)], [(8, 1), (19, 2), (20, 1), (45, 3), (50, 1), (54, 1), (82, 1), (90, 1), (190, 1), (301, 1), (387, 1), (1308, 1), (2669, 1), (8327, 1), (10861, 1), (10862, 1)], [(8, 1), (19, 1), (20, 5), (25, 1), (30, 2), (31, 1), (53, 2), (55, 2), (90, 3), (97, 1), (173, 2), (193, 1), (236, 1), (240, 1), (256, 1), (268, 1), (293, 1), (347, 1), (420, 1), (792, 1), (833, 1), (892, 1), (2185, 1), (2344, 1), (2694, 1), (3255, 1), (3402, 1), (3638, 1), (3828, 1), (5310, 1), (5874, 1), (6104, 1), (6624, 1), (10861, 1), (10863, 1), (10864, 1), (10865, 1)], [(8, 1), (18, 1), (19, 1), (24, 1), (45, 1), (50, 1), (54, 1), (193, 1), (365, 1), (3237, 1), (3996, 1), (4989, 1), (6357, 1), (8229, 1), (8302, 1), (10504, 1), (10795, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (37, 1), (45, 1), (50, 1), (53, 4), (97, 1), (278, 1), (293, 1), (331, 1), (361, 1), (414, 2), (452, 1), (1227, 1), (1488, 1), (2029, 1), (2523, 1), (2828, 1), (4296, 1), (5053, 1), (6129, 1), (6623, 1), (10866, 1), (10867, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 2), (37, 1), (45, 1), (50, 4), (53, 4), (54, 1), (58, 1), (77, 1), (90, 3), (108, 3), (109, 1), (173, 1), (187, 1), (215, 1), (263, 1), (293, 2), (414, 2), (452, 2), (459, 1), (744, 1), (753, 1), (834, 1), (1115, 1), (1296, 1), (1348, 1), (1488, 1), (1505, 1), (1509, 1), (1607, 1), (2096, 1), (2265, 1), (2276, 1), (3043, 1), (3168, 1), (3579, 1), (3697, 1), (4527, 1), (4831, 1), (5592, 1), (6091, 1), (6342, 1), (7415, 1), (7547, 1), (10159, 1), (10868, 1), (10869, 1), (10870, 1), (10871, 1), (10872, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 2), (37, 1), (45, 2), (50, 2), (53, 3), (55, 1), (71, 1), (166, 1), (173, 1), (269, 1), (285, 1), (305, 1), (388, 1), (407, 1), (448, 1), (452, 1), (531, 1), (560, 1), (645, 1), (654, 1), (744, 1), (894, 1), (1079, 1), (1379, 1), (1470, 1), (2151, 1), (2734, 1), (4599, 1), (8272, 1), (10873, 1), (10874, 1), (10875, 1), (10876, 1), (10877, 1), (10878, 1)], [(8, 1), (19, 3), (20, 2), (25, 1), (45, 1), (53, 1), (71, 1), (90, 1), (108, 2), (161, 1), (236, 1), (269, 1), (285, 1), (414, 1), (504, 1), (531, 1), (744, 1), (906, 1), (1274, 1), (1470, 1), (1824, 1), (2197, 1), (7323, 1), (8086, 1), (10251, 1), (10879, 1), (10880, 1), (10881, 1), (10882, 1)], [(8, 1), (20, 3), (25, 2), (30, 1), (31, 1), (37, 2), (45, 1), (50, 2), (53, 4), (55, 2), (58, 2), (65, 1), (71, 1), (77, 1), (90, 1), (185, 1), (186, 1), (215, 1), (269, 1), (281, 1), (301, 1), (347, 1), (526, 1), (756, 1), (830, 1), (1308, 1), (1449, 1), (1488, 1), (2228, 1), (3168, 1), (3221, 1), (3454, 1), (4231, 1), (4296, 1), (6315, 1), (7088, 1), (9248, 1), (10515, 1), (10818, 1), (10883, 1), (10884, 1)], [(18, 1), (20, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 2), (51, 1), (53, 1), (54, 1), (96, 1), (109, 1), (161, 1), (172, 1), (247, 1), (256, 1), (269, 1), (285, 1), (288, 1), (414, 1), (450, 1), (569, 1), (645, 1), (709, 1), (744, 1), (897, 1), (1066, 1), (1350, 1), (1627, 1), (4962, 1), (5245, 1), (5360, 1), (8549, 1), (8810, 1), (9946, 1), (10885, 1), (10886, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (53, 2), (71, 1), (109, 1), (310, 1), (414, 1), (459, 1), (530, 1), (3803, 1), (5323, 1), (5650, 1), (6912, 1), (10887, 1), (10888, 1), (10889, 1)], [(8, 1), (20, 2), (25, 1), (36, 1), (54, 1), (414, 1), (531, 1), (3738, 1), (6394, 1), (7097, 1), (10561, 1), (10890, 1)], [(7, 1), (8, 1), (18, 2), (20, 12), (21, 1), (25, 4), (31, 3), (50, 4), (51, 1), (53, 5), (54, 1), (55, 1), (56, 1), (65, 2), (95, 1), (111, 1), (117, 1), (175, 1), (185, 1), (186, 1), (193, 1), (232, 1), (278, 1), (325, 1), (353, 1), (441, 1), (499, 1), (645, 1), (706, 1), (897, 1), (970, 1), (1122, 1), (1506, 1), (1751, 1), (3410, 1), (4463, 1), (5159, 1), (5238, 1), (6655, 1), (7206, 1), (7286, 1), (7295, 1), (7411, 1), (7962, 1), (7974, 1), (9840, 1), (10891, 1), (10892, 1), (10893, 1), (10894, 1), (10895, 1), (10896, 1), (10897, 1), (10898, 1), (10899, 1), (10900, 1), (10901, 1), (10902, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (30, 1), (45, 1), (293, 1), (448, 1), (903, 1), (1506, 1), (2153, 1), (2327, 1), (2392, 1), (2912, 1), (3380, 1), (8877, 1), (10561, 1), (10593, 1), (10765, 1), (10903, 1)], [(7, 1), (8, 1), (19, 6), (20, 7), (21, 2), (22, 2), (31, 1), (37, 2), (45, 2), (50, 2), (51, 1), (53, 5), (54, 2), (58, 1), (69, 1), (71, 2), (90, 2), (91, 1), (96, 2), (111, 1), (117, 1), (172, 1), (173, 1), (185, 2), (193, 1), (215, 2), (232, 1), (285, 1), (287, 1), (288, 2), (289, 1), (293, 1), (334, 1), (426, 1), (441, 1), (448, 1), (450, 3), (459, 1), (505, 1), (518, 1), (581, 1), (601, 1), (645, 1), (697, 1), (711, 1), (756, 2), (833, 1), (903, 2), (1288, 1), (1347, 1), (1593, 1), (1717, 1), (1761, 1), (1878, 1), (1932, 1), (2424, 1), (2744, 1), (3675, 1), (4205, 1), (4733, 1), (5360, 1), (5487, 1), (5861, 1), (6221, 1), (9988, 1), (10515, 2), (10904, 1), (10905, 1), (10906, 1), (10907, 1), (10908, 1), (10909, 1), (10910, 1)], [(7, 1), (20, 2), (24, 1), (31, 1), (37, 1), (40, 1), (45, 2), (50, 1), (53, 1), (90, 1), (269, 1), (288, 1), (434, 1), (581, 1), (662, 1), (1714, 1), (2145, 1), (2945, 1), (3709, 1), (4548, 1), (6742, 1), (7022, 1), (10033, 1), (10911, 1), (10912, 1), (10913, 1)], [(53, 1), (82, 1), (262, 1), (1069, 1), (1714, 1), (1747, 1), (2010, 1), (3743, 1), (9301, 1)], [(18, 1), (31, 1), (50, 1), (65, 1), (404, 1), (581, 1), (596, 1), (713, 1), (800, 1), (1702, 1), (1714, 1), (6577, 1), (10914, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (23, 1), (25, 1), (31, 1), (34, 1), (37, 1), (50, 1), (53, 5), (65, 1), (90, 1), (95, 1), (166, 1), (186, 1), (256, 2), (269, 1), (286, 1), (1149, 1), (1342, 1), (1529, 1), (1824, 1), (2184, 1), (3352, 1), (3525, 1), (3771, 1), (4937, 1), (7395, 1), (9115, 1), (10915, 1), (10916, 1)], [(1544, 1), (10917, 1)], [(8, 1), (24, 2), (50, 1), (756, 1), (10918, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (53, 1), (54, 2), (95, 1), (96, 1), (173, 1), (193, 1), (215, 1), (217, 1), (225, 1), (506, 1), (596, 1), (778, 1), (1824, 1), (2744, 1), (5583, 1), (6315, 1), (7375, 1), (10919, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (18, 1), (20, 6), (22, 1), (23, 1), (25, 2), (30, 1), (31, 2), (37, 1), (50, 1), (53, 1), (54, 2), (58, 2), (69, 1), (82, 1), (90, 1), (97, 2), (109, 1), (111, 1), (117, 1), (124, 1), (161, 1), (166, 1), (193, 1), (232, 1), (236, 1), (237, 1), (240, 1), (256, 1), (293, 1), (328, 1), (448, 1), (645, 1), (834, 1), (1041, 1), (1080, 1), (1628, 1), (1732, 1), (1824, 1), (1862, 1), (1964, 1), (1981, 1), (2161, 1), (2179, 1), (2265, 1), (2656, 1), (2744, 1), (3330, 1), (3419, 1), (4322, 1), (4872, 1), (5269, 1), (5960, 1), (7084, 1), (7556, 1), (9767, 1), (10731, 1), (10920, 1), (10921, 1), (10922, 1), (10923, 1)], [(8, 1), (37, 1), (50, 1), (53, 2), (54, 1), (90, 1), (95, 1), (122, 1), (487, 1), (506, 1), (767, 1), (4998, 1), (10924, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 2), (25, 1), (31, 1), (37, 1), (71, 1), (180, 1), (203, 1), (206, 1), (226, 1), (288, 1), (301, 1), (448, 1), (581, 1), (601, 1), (697, 1), (1149, 2), (1824, 1), (2016, 1), (2424, 1), (3675, 2), (3701, 1), (3771, 1), (4637, 1)], [(7, 3), (8, 2), (18, 5), (19, 7), (20, 36), (21, 1), (22, 18), (25, 21), (31, 17), (37, 4), (49, 1), (50, 30), (51, 1), (53, 56), (54, 2), (55, 2), (58, 2), (64, 2), (65, 8), (77, 3), (81, 1), (84, 1), (90, 3), (97, 2), (98, 1), (108, 4), (109, 1), (111, 1), (124, 1), (166, 1), (172, 1), (181, 2), (185, 5), (188, 1), (197, 1), (206, 1), (214, 1), (215, 2), (217, 2), (225, 2), (228, 3), (229, 2), (237, 1), (260, 3), (269, 2), (279, 1), (307, 1), (320, 2), (328, 2), (334, 2), (336, 1), (345, 2), (353, 4), (361, 1), (372, 1), (386, 1), (399, 3), (404, 1), (407, 1), (414, 1), (415, 2), (448, 2), (450, 4), (487, 1), (504, 1), (507, 2), (516, 1), (526, 1), (531, 1), (620, 1), (642, 1), (645, 1), (697, 1), (711, 1), (767, 1), (777, 1), (778, 14), (800, 1), (827, 3), (833, 1), (855, 1), (922, 3), (999, 1), (1021, 1), (1041, 1), (1071, 1), (1074, 1), (1102, 11), (1130, 1), (1164, 1), (1348, 1), (1377, 1), (1392, 1), (1414, 1), (1435, 1), (1498, 1), (1596, 1), (1628, 1), (1686, 1), (1751, 1), (1763, 1), (1824, 2), (1868, 1), (1870, 1), (1901, 1), (1921, 1), (1973, 1), (2099, 1), (2117, 1), (2148, 1), (2151, 1), (2198, 3), (2249, 1), (2250, 1), (2533, 1), (2693, 1), (2741, 1), (2978, 2), (3110, 1), (3302, 1), (3392, 1), (3478, 1), (3533, 1), (3591, 2), (3652, 1), (3804, 1), (3937, 4), (4088, 1), (4128, 1), (4130, 1), (4167, 1), (4249, 1), (4321, 1), (4366, 1), (4509, 1), (4538, 1), (4617, 1), (4619, 1), (4695, 1), (4840, 1), (4903, 1), (5151, 1), (5204, 1), (5251, 1), (5257, 1), (5277, 1), (5534, 1), (5557, 1), (5568, 1), (5621, 1), (5735, 1), (5791, 1), (5855, 1), (5942, 1), (6170, 3), (6177, 1), (6179, 1), (6201, 1), (6303, 1), (6416, 1), (6515, 1), (6860, 1), (7066, 1), (7517, 1), (7549, 1), (7684, 1), (7699, 2), (7726, 2), (7784, 1), (7929, 1), (7946, 1), (7956, 1), (7960, 1), (8382, 1), (8650, 1), (8877, 1), (9025, 1), (9256, 1), (9300, 1), (9312, 1), (9348, 1), (9358, 1), (9380, 1), (9401, 1), (9412, 1), (9834, 1), (9941, 1), (9945, 1), (9975, 1), (10040, 1), (10074, 1), (10080, 1), (10515, 2), (10742, 1), (10924, 3), (10925, 1), (10926, 1), (10927, 1), (10928, 1), (10929, 1), (10930, 1), (10931, 1), (10932, 1), (10933, 1), (10934, 1), (10935, 1), (10936, 1), (10937, 1), (10938, 1), (10939, 1), (10940, 1), (10941, 1), (10942, 1), (10943, 1), (10944, 1), (10945, 1), (10946, 1), (10947, 1), (10948, 1), (10949, 1), (10950, 1), (10951, 1), (10952, 1), (10953, 1), (10954, 1), (10955, 1), (10956, 1), (10957, 1), (10958, 1), (10959, 1), (10960, 1), (10961, 2), (10962, 1), (10963, 1), (10964, 1), (10965, 1), (10966, 1), (10967, 1), (10968, 1), (10969, 1), (10970, 1), (10971, 1), (10972, 1), (10973, 1), (10974, 1), (10975, 1), (10976, 1), (10977, 1), (10978, 1), (10979, 1), (10980, 1), (10981, 1), (10982, 1), (10983, 1), (10984, 1), (10985, 1), (10986, 1), (10987, 1), (10988, 1), (10989, 1), (10990, 1), (10991, 1), (10992, 1)], [(8, 1), (19, 2), (20, 4), (25, 1), (31, 1), (50, 1), (53, 2), (55, 1), (58, 1), (77, 1), (90, 1), (97, 1), (106, 1), (109, 1), (124, 1), (161, 1), (236, 1), (420, 1), (1392, 1), (1449, 1), (3402, 1), (5386, 1), (6271, 1), (7101, 1), (7684, 1), (9834, 1), (9906, 1), (10584, 1), (10924, 1), (10993, 1), (10994, 1), (10995, 1), (10996, 1)], [(20, 2), (22, 1), (25, 1), (50, 2), (53, 5), (91, 1), (96, 1), (214, 1), (256, 1), (450, 1), (711, 1), (778, 2), (1714, 1), (1988, 1), (4062, 1), (5015, 1), (6047, 1), (7914, 1), (9590, 1), (9662, 1), (10924, 1), (10997, 1), (10998, 1), (10999, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (53, 1), (58, 1), (77, 1), (97, 1), (124, 1), (260, 1), (450, 1), (531, 1), (658, 1), (744, 1), (833, 1), (3444, 1), (5065, 1), (7917, 1), (9443, 1), (10924, 1), (11000, 1), (11001, 1), (11002, 1), (11003, 1), (11004, 1)], [(8, 1), (28, 1), (31, 1), (45, 1), (53, 2), (65, 2), (82, 1), (90, 1), (111, 1), (215, 1), (241, 1), (293, 1), (581, 1), (778, 1), (939, 1), (1988, 1), (6047, 1), (7105, 1), (7883, 1), (11005, 1), (11006, 1), (11007, 1), (11008, 1)], [(7742, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 11), (22, 2), (25, 2), (30, 1), (31, 2), (50, 3), (53, 8), (55, 1), (58, 3), (71, 2), (77, 1), (82, 1), (84, 1), (90, 4), (97, 1), (108, 1), (109, 1), (185, 1), (233, 1), (285, 1), (287, 1), (293, 1), (323, 1), (329, 1), (418, 1), (428, 1), (434, 1), (601, 1), (744, 1), (830, 1), (1068, 1), (1119, 2), (1161, 1), (1196, 1), (1308, 1), (1310, 1), (1608, 1), (1702, 1), (1733, 1), (1878, 1), (1988, 2), (2649, 1), (2686, 1), (2774, 1), (2883, 1), (3002, 1), (3678, 1), (3804, 1), (4674, 1), (4875, 1), (4877, 1), (6303, 1), (6805, 1), (7399, 1), (7742, 1), (8216, 1), (8225, 1), (8991, 1), (9115, 1), (9926, 1), (10578, 1), (10924, 1), (11009, 1), (11010, 1), (11011, 1), (11012, 1), (11013, 1), (11014, 2), (11015, 1), (11016, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (37, 1), (53, 1), (58, 1), (71, 1), (82, 2), (90, 1), (94, 1), (99, 1), (108, 1), (172, 1), (185, 1), (260, 1), (285, 1), (301, 1), (459, 1), (1824, 1), (10584, 1), (10796, 1), (10924, 1), (11017, 1)], [(8, 1), (20, 3), (31, 3), (45, 1), (50, 1), (53, 4), (55, 1), (90, 1), (108, 1), (209, 1), (420, 1), (778, 2), (922, 1), (966, 1), (1119, 1), (3804, 1), (5386, 1), (5487, 1), (5913, 1), (6047, 1), (8221, 1), (8444, 1), (10975, 1), (11018, 1), (11019, 1), (11020, 1)], [(7, 1), (8, 1), (31, 1), (53, 2), (74, 1), (77, 1), (81, 1), (90, 1), (106, 1), (281, 1), (407, 1), (711, 1), (1463, 1), (6160, 1), (9238, 1), (11021, 1), (11022, 1)], [(8, 1), (10, 1), (20, 1), (24, 1), (25, 1), (53, 2), (55, 1), (64, 2), (108, 1), (161, 1), (415, 1), (782, 1), (893, 1), (1392, 1), (1526, 2), (1614, 1), (2656, 1), (3882, 1), (4086, 1), (4353, 1), (9375, 1), (10936, 1), (11023, 1), (11024, 1), (11025, 1), (11026, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (30, 1), (31, 2), (45, 1), (50, 2), (53, 3), (185, 1), (346, 1), (778, 1), (983, 1), (1279, 1), (1689, 1), (1883, 1), (3633, 1), (6047, 1), (6160, 1), (6419, 1), (8287, 1), (11027, 1), (11028, 1)], [(20, 2), (25, 1), (31, 2), (33, 1), (37, 1), (50, 2), (53, 1), (90, 1), (97, 1), (245, 1), (702, 1), (778, 1), (834, 1), (915, 1), (1714, 1), (1890, 1), (3585, 1), (4086, 1), (4404, 1), (5921, 1), (7234, 1), (11029, 1), (11030, 1), (11031, 1)], [(8, 1), (20, 2), (22, 1), (90, 1), (117, 1), (232, 1), (256, 1), (332, 1), (334, 1), (763, 1), (1118, 1), (1175, 1), (3578, 1), (8735, 1), (11032, 1), (11033, 1), (11034, 1)], [(7742, 1)], [(8, 1), (23, 2), (40, 1), (53, 1), (726, 1), (763, 1), (3681, 1), (7742, 1), (11030, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (53, 1), (54, 1), (122, 1), (281, 1), (518, 1), (1585, 1), (2320, 1), (3557, 1), (4591, 1), (4652, 1), (8111, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (23, 2), (25, 2), (50, 1), (53, 2), (55, 1), (281, 1), (328, 1), (387, 1), (726, 1), (1042, 1), (1083, 1), (1580, 1), (2064, 1), (2107, 1), (2343, 1), (4549, 1), (4889, 1), (5076, 1), (5251, 1), (6364, 1), (6794, 1), (7798, 1), (8211, 1), (8248, 1), (10924, 1), (11035, 1), (11036, 1), (11037, 1)], [(8, 1), (19, 1), (20, 2), (58, 1), (115, 1), (215, 1), (448, 1), (504, 1), (587, 1), (1041, 1), (1868, 1), (2006, 1), (2258, 1), (2359, 1), (2747, 1), (5368, 1), (5923, 1), (9010, 1)], [(8, 1), (25, 1), (58, 1), (3798, 1), (10449, 1), (11038, 1), (11039, 1)], [(8, 1), (20, 2), (31, 1), (58, 1), (117, 1), (215, 1), (232, 1), (447, 1), (448, 1), (2117, 1), (3738, 1), (4608, 1), (4782, 1), (5384, 1), (6032, 1), (6786, 1), (10713, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (50, 1), (97, 1), (261, 1), (332, 1), (1041, 1), (1867, 1), (2354, 1), (2847, 1), (4365, 1), (5197, 1), (5846, 1), (11040, 1), (11041, 1)], [(8, 1), (20, 4), (22, 1), (23, 2), (25, 2), (31, 1), (40, 1), (50, 2), (53, 3), (54, 1), (108, 1), (209, 1), (293, 2), (307, 1), (347, 1), (387, 1), (482, 1), (778, 2), (834, 1), (1041, 1), (1149, 1), (1270, 1), (2326, 1), (4605, 1), (4652, 1), (5923, 1), (7450, 1), (7752, 1), (8200, 1), (8304, 1), (10853, 1), (11042, 1), (11043, 1)], [(8, 1), (23, 1), (50, 1), (90, 1), (193, 1), (2707, 1), (4902, 1), (6161, 1), (11044, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (90, 1), (92, 1), (487, 1), (506, 1), (581, 1), (897, 1), (1072, 1), (1308, 1), (2145, 1), (3025, 1), (4455, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (25, 1), (54, 1), (96, 1), (185, 1), (193, 1), (218, 1), (301, 1), (1574, 1), (1960, 1), (2344, 1), (3668, 1), (5527, 1)], [(8, 1), (20, 1), (126, 1), (173, 1), (1434, 1), (11045, 1)], [(247, 1), (11046, 1)], [(19, 1), (22, 1), (58, 1), (77, 2), (81, 1), (90, 2), (185, 1), (247, 1), (307, 1), (347, 1), (387, 1), (600, 1), (812, 1), (892, 1), (1269, 1), (2030, 1), (3041, 1), (5757, 1), (11047, 1)], [(247, 1), (812, 1)], [(8, 1), (20, 1), (23, 1), (54, 1), (81, 1), (90, 1), (108, 1), (117, 1), (232, 1), (301, 1), (337, 1), (448, 2), (599, 1), (1342, 1), (3324, 1), (11030, 1), (11045, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (23, 1), (55, 1), (84, 1), (90, 2), (97, 1), (117, 1), (166, 1), (172, 1), (218, 1), (232, 1), (241, 1), (268, 1), (281, 1), (347, 1), (420, 1), (459, 1), (726, 1), (834, 1), (1685, 1), (1862, 1), (2064, 1), (2168, 1), (2495, 1), (5957, 1), (6150, 1), (7759, 1), (11032, 1), (11048, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 2), (71, 1), (218, 1), (286, 1), (347, 1), (531, 1), (897, 1), (1644, 1), (1911, 1), (3849, 1), (4297, 1), (11030, 1), (11048, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (25, 1), (31, 1), (50, 1), (53, 3), (185, 1), (256, 1), (507, 1), (884, 1), (1464, 1), (1685, 1), (1742, 1), (1852, 1), (3091, 1), (5209, 1), (11049, 1), (11050, 1), (11051, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (22, 2), (23, 3), (25, 1), (31, 2), (50, 3), (53, 6), (55, 1), (72, 1), (90, 2), (124, 1), (172, 1), (182, 1), (185, 1), (206, 1), (214, 1), (215, 1), (218, 1), (256, 1), (328, 1), (420, 1), (744, 1), (764, 1), (812, 1), (897, 1), (1939, 1), (2187, 1), (3409, 1), (3578, 1), (4695, 1), (5159, 1), (5384, 1), (5816, 1), (6783, 1), (7088, 1), (7206, 1), (7595, 1), (7874, 1), (8111, 1), (8225, 1), (10924, 1), (11018, 1), (11052, 1), (11053, 1)], [(53, 1), (217, 1), (288, 1), (301, 1), (347, 1), (387, 1), (774, 1), (1466, 1), (1714, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 1), (25, 2), (53, 2), (55, 1), (58, 1), (82, 1), (190, 1), (215, 1), (365, 1), (414, 1), (1239, 1), (1939, 1), (2145, 1), (2190, 1), (5144, 1), (8724, 1), (11054, 1)], [(8, 1), (18, 2), (20, 2), (22, 2), (25, 2), (50, 1), (53, 2), (55, 1), (58, 2), (117, 1), (232, 1), (353, 1), (709, 1), (897, 1), (1041, 1), (1122, 1), (1342, 1), (1904, 1), (2184, 1), (2344, 1), (2359, 1), (3355, 1), (5081, 1), (6630, 1), (11055, 1), (11056, 1), (11057, 1), (11058, 1), (11059, 1)], [(19, 1), (20, 6), (23, 1), (25, 1), (31, 1), (53, 3), (54, 1), (65, 1), (82, 1), (90, 1), (108, 1), (247, 1), (301, 1), (420, 1), (597, 1), (645, 1), (708, 1), (771, 1), (778, 1), (1939, 1), (2374, 1), (3095, 1), (4630, 1), (4975, 1), (5336, 1), (11055, 1), (11058, 1), (11060, 1), (11061, 1), (11062, 1), (11063, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (25, 2), (31, 2), (45, 1), (50, 3), (53, 3), (55, 1), (65, 4), (77, 1), (84, 1), (90, 1), (394, 1), (778, 1), (829, 1), (1403, 1), (1826, 1), (2134, 1), (2240, 1), (3121, 1), (4128, 1), (4143, 1), (4441, 1), (4463, 1), (4540, 1), (7745, 1), (8304, 1), (9806, 1), (10515, 1), (10948, 1), (11064, 1), (11065, 1), (11066, 1), (11067, 1), (11068, 1), (11069, 1), (11070, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (31, 1), (36, 1), (50, 2), (53, 3), (54, 1), (246, 1), (412, 1), (459, 1), (587, 1), (834, 1), (1308, 1), (2168, 1), (3991, 1), (5917, 1), (9786, 1), (11071, 1), (11072, 1), (11073, 1), (11074, 1), (11075, 1), (11076, 1)], [(8, 1), (50, 1), (53, 1), (58, 1), (90, 1), (97, 1), (173, 1), (197, 1), (414, 1), (450, 1), (516, 1), (706, 1), (851, 1), (2359, 1), (2365, 1), (2917, 1), (4548, 1), (4705, 1), (11077, 1), (11078, 1), (11079, 1), (11080, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (30, 2), (45, 2), (50, 2), (53, 1), (55, 1), (65, 1), (124, 1), (166, 1), (172, 1), (623, 1), (833, 1), (1855, 1), (3295, 1), (4165, 1), (7353, 1), (7399, 1), (9336, 1), (11081, 1), (11082, 1), (11083, 1), (11084, 1), (11085, 1), (11086, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 3), (50, 3), (51, 1), (53, 3), (56, 1), (65, 1), (90, 1), (97, 1), (126, 1), (185, 1), (215, 2), (261, 1), (407, 1), (420, 1), (678, 1), (834, 1), (2744, 1), (3958, 1), (4337, 1), (4540, 1), (5857, 1), (5910, 1), (6090, 1), (6230, 1), (6698, 1), (7337, 1), (7726, 1), (8062, 1), (10659, 1), (11087, 1), (11088, 1), (11089, 1), (11090, 1), (11091, 1), (11092, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 2), (31, 2), (37, 1), (45, 3), (50, 2), (53, 6), (54, 1), (55, 2), (58, 1), (90, 1), (91, 1), (92, 1), (111, 1), (173, 2), (188, 1), (193, 1), (282, 1), (490, 1), (516, 1), (531, 1), (777, 1), (1255, 1), (1377, 1), (1449, 1), (1977, 1), (2029, 1), (2139, 1), (3197, 1), (3371, 1), (4890, 1), (5065, 1), (5681, 1), (6055, 1), (6137, 1), (6358, 1), (6725, 1), (7002, 1), (7869, 1), (9541, 1), (10515, 1), (11065, 1), (11093, 1), (11094, 1), (11095, 1), (11096, 1), (11097, 1), (11098, 1), (11099, 1), (11100, 1), (11101, 1), (11102, 1), (11103, 1), (11104, 1), (11105, 1), (11106, 1), (11107, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 1), (55, 1), (58, 3), (71, 1), (90, 3), (96, 1), (97, 2), (109, 1), (185, 2), (193, 1), (293, 1), (347, 1), (414, 1), (446, 1), (507, 1), (526, 1), (581, 1), (922, 1), (1102, 1), (1342, 1), (2161, 1), (2774, 1), (3043, 1), (4404, 1), (4620, 1), (5159, 1), (5343, 1), (5855, 1), (7309, 1), (10584, 1), (10649, 1), (10924, 1), (11108, 2), (11109, 1), (11110, 1)], [(8, 1), (25, 2), (31, 1), (37, 1), (53, 1), (58, 1), (90, 1), (97, 1), (185, 1), (214, 1), (301, 1), (328, 1), (415, 1), (1139, 1), (1918, 1), (2847, 1), (6402, 1), (9677, 1), (9837, 1), (10515, 1), (10924, 1), (11065, 1), (11111, 1), (11112, 1)], [(7, 1), (20, 1), (25, 2), (31, 1), (45, 1), (53, 2), (58, 1), (77, 2), (90, 2), (173, 1), (215, 1), (220, 1), (229, 1), (247, 1), (275, 1), (293, 1), (596, 1), (645, 1), (3756, 1), (7720, 1), (7721, 1), (11113, 1), (11114, 1), (11115, 1), (11116, 1), (11117, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (30, 1), (53, 1), (77, 1), (81, 1), (90, 1), (97, 1), (122, 1), (173, 1), (387, 1), (2939, 1), (6361, 1), (9677, 1), (10924, 1)], [(8, 1), (21, 2), (24, 1), (25, 1), (30, 1), (37, 1), (50, 1), (53, 1), (65, 1), (77, 1), (124, 1), (175, 1), (185, 1), (215, 2), (225, 1), (240, 1), (268, 1), (353, 1), (415, 1), (600, 1), (833, 1), (1824, 1), (4062, 1), (4926, 1), (5065, 1), (5913, 1), (9840, 1), (10924, 1), (11113, 1), (11118, 1), (11119, 1), (11120, 1), (11121, 1)], [(71, 1), (185, 1), (293, 1), (743, 1), (1714, 1), (1845, 1)], [(8, 1), (19, 1), (20, 3), (31, 2), (50, 1), (53, 2), (82, 1), (185, 1), (202, 1), (256, 1), (399, 1), (415, 1), (861, 1), (1159, 2), (1160, 1), (1747, 1), (1929, 1), (3043, 1), (3402, 1), (5858, 1), (8085, 1), (8415, 1), (8735, 1), (11122, 1), (11123, 1), (11124, 1), (11125, 1), (11126, 1)], [(8, 1), (20, 1), (50, 1), (53, 3), (217, 1), (225, 1), (1041, 1), (3429, 1), (4520, 1), (4549, 1), (5065, 1), (6786, 1), (8945, 1), (9266, 1), (10515, 1), (11127, 1), (11128, 1)], [(8, 1), (20, 2), (31, 1), (50, 1), (53, 1), (225, 1), (293, 1), (448, 1), (531, 1), (556, 1), (2693, 1), (3043, 1), (3916, 1), (6402, 1), (11129, 1), (11130, 1), (11131, 1), (11132, 1)], [(20, 3), (31, 3), (50, 3), (53, 4), (58, 1), (65, 1), (90, 1), (247, 1), (420, 1), (450, 2), (1043, 1), (1347, 1), (2184, 1), (2725, 1), (3174, 1), (4520, 1), (5501, 1), (6036, 1), (6755, 1), (9297, 1), (10515, 1), (10984, 1), (11013, 1), (11133, 1), (11134, 1), (11135, 1), (11136, 1), (11137, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (37, 1), (50, 2), (53, 2), (185, 1), (448, 1), (487, 1), (861, 1), (1747, 1), (1988, 1), (2440, 1), (3043, 1), (3937, 1), (4360, 1), (6222, 1), (6347, 1), (11138, 1), (11139, 1)], [(8, 1), (20, 3), (22, 1), (31, 2), (50, 3), (53, 7), (56, 1), (71, 1), (77, 1), (90, 2), (97, 1), (122, 1), (215, 3), (226, 1), (240, 1), (269, 1), (289, 1), (328, 1), (407, 1), (415, 1), (459, 1), (504, 1), (516, 1), (893, 1), (1072, 1), (1686, 1), (2681, 1), (2785, 1), (4235, 1), (4880, 1), (5065, 1), (5386, 1), (5744, 1), (7530, 1), (7853, 1), (10575, 1), (11140, 1), (11141, 2), (11142, 1)], [(8, 1), (20, 1), (31, 1), (50, 2), (53, 3), (90, 1), (91, 1), (97, 1), (109, 1), (331, 1), (419, 2), (893, 1), (3937, 1), (4950, 1), (11141, 1), (11143, 1), (11144, 1), (11145, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (21, 1), (22, 1), (31, 2), (37, 1), (45, 1), (50, 1), (53, 3), (65, 1), (84, 2), (90, 1), (206, 1), (260, 2), (414, 1), (419, 1), (420, 1), (434, 2), (446, 1), (447, 1), (498, 1), (778, 1), (861, 1), (922, 1), (1122, 1), (1529, 1), (1558, 1), (1685, 1), (3043, 1), (4128, 1), (4520, 1), (4587, 1), (4600, 2), (5049, 1), (5127, 1), (5271, 1), (6983, 1), (7969, 1), (8137, 1), (9482, 1), (10020, 1), (10778, 1), (11146, 1), (11147, 1), (11148, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (31, 2), (45, 1), (53, 1), (58, 1), (90, 1), (111, 1), (173, 1), (186, 1), (188, 1), (190, 1), (192, 1), (268, 1), (387, 1), (415, 1), (581, 1), (645, 1), (1041, 1), (1130, 1), (1393, 1), (1628, 1), (4499, 1), (4799, 1), (6667, 1), (6988, 1), (7240, 1), (7337, 1), (8221, 1), (8808, 1), (10924, 1), (11149, 1)], [(19, 1), (20, 1), (58, 1), (71, 1), (77, 1), (108, 1), (185, 1), (288, 1), (301, 1), (627, 1), (645, 1), (654, 1), (1102, 1), (1287, 1), (1607, 1), (1686, 1), (1714, 1), (11150, 1)], [(8, 1), (20, 1), (58, 1), (285, 1), (553, 1), (1470, 1), (1475, 1), (11151, 1)], [(7, 1), (19, 6), (20, 5), (21, 1), (31, 1), (37, 1), (50, 4), (53, 4), (58, 1), (77, 1), (108, 1), (111, 1), (185, 1), (201, 1), (256, 1), (281, 1), (334, 1), (387, 1), (419, 3), (434, 2), (448, 2), (581, 1), (687, 1), (777, 1), (834, 1), (894, 1), (897, 1), (922, 1), (974, 1), (1102, 1), (1342, 1), (1596, 1), (1714, 1), (1820, 1), (1902, 1), (2365, 1), (2474, 1), (2540, 1), (3237, 1), (3524, 1), (3701, 1), (4082, 1), (4682, 1), (5031, 1), (5040, 1), (5236, 1), (5533, 1), (5754, 1), (6150, 1), (6384, 1), (6402, 1), (7684, 1), (8234, 1), (10924, 1), (11152, 1), (11153, 1), (11154, 1), (11155, 1), (11156, 1)], [(8, 1), (434, 1), (496, 1), (815, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (185, 1), (206, 1), (268, 1), (301, 1), (428, 1), (516, 1), (581, 1), (645, 1), (654, 1), (1196, 1), (2265, 1), (3523, 1), (10715, 1), (10838, 1), (11157, 1), (11158, 2)], [(7, 1), (8, 1), (19, 2), (20, 4), (25, 1), (32, 1), (50, 2), (53, 2), (71, 2), (82, 1), (91, 2), (172, 1), (193, 2), (202, 1), (217, 1), (331, 1), (407, 1), (410, 1), (448, 1), (459, 1), (600, 1), (830, 2), (879, 1), (1102, 1), (1277, 1), (1342, 1), (1499, 1), (1520, 1), (1824, 1), (1893, 1), (2139, 1), (2141, 1), (4299, 1), (5957, 1), (6650, 1), (11159, 1), (11160, 1)], [(19, 2), (20, 5), (25, 1), (31, 1), (50, 4), (53, 5), (55, 2), (65, 3), (71, 1), (174, 1), (256, 1), (310, 1), (323, 1), (361, 1), (645, 1), (744, 1), (919, 1), (1393, 1), (1467, 1), (1714, 1), (1718, 1), (1747, 1), (1845, 1), (2193, 1), (2195, 1), (2198, 1), (2285, 1), (2751, 1), (3729, 1), (3808, 1), (3906, 1), (4473, 1), (5459, 1), (5553, 1), (6688, 1), (8470, 1), (10148, 1), (11161, 1), (11162, 1), (11163, 1), (11164, 1), (11165, 1)], [(18, 2), (19, 1), (20, 4), (31, 1), (50, 2), (53, 4), (111, 1), (531, 1), (744, 1), (919, 1), (1517, 1), (1628, 1), (1714, 1), (1747, 1), (2149, 1), (3435, 1), (8086, 1), (10515, 2), (10773, 1), (11166, 1), (11167, 1), (11168, 1), (11169, 1), (11170, 1), (11171, 1), (11172, 1), (11173, 1), (11174, 1)], [(10, 1), (11, 1), (20, 3), (21, 1), (25, 1), (50, 3), (53, 5), (58, 1), (77, 1), (82, 1), (90, 1), (96, 1), (97, 1), (108, 1), (109, 1), (111, 1), (124, 1), (190, 1), (260, 1), (289, 1), (293, 1), (322, 1), (328, 1), (414, 1), (415, 1), (531, 1), (833, 1), (834, 1), (1035, 1), (1041, 1), (1517, 1), (1607, 1), (1714, 1), (2145, 1), (2583, 1), (4062, 1), (4228, 1), (5236, 1), (5456, 1), (6097, 1), (6170, 1), (8086, 1), (8304, 1), (10515, 1), (10715, 1), (11175, 1), (11176, 1), (11177, 2), (11178, 1), (11179, 1), (11180, 1)], [(18, 1), (20, 7), (31, 1), (50, 4), (53, 4), (77, 1), (81, 1), (90, 2), (117, 1), (193, 1), (232, 1), (236, 1), (263, 1), (331, 1), (777, 1), (834, 1), (919, 1), (1393, 1), (1529, 1), (1628, 1), (1714, 1), (1807, 1), (1999, 1), (2658, 1), (3007, 1), (3009, 1), (3036, 1), (3103, 1), (3991, 1), (4071, 1), (4086, 1), (8221, 1), (9195, 1), (10515, 1), (10844, 1), (11019, 1), (11162, 1), (11181, 1), (11182, 1), (11183, 1)], [(7, 1), (18, 1), (20, 4), (25, 2), (37, 1), (50, 5), (53, 6), (55, 1), (81, 1), (90, 1), (174, 1), (395, 2), (414, 1), (434, 1), (435, 1), (744, 1), (777, 1), (1529, 1), (1686, 1), (1714, 1), (1747, 1), (1824, 1), (1883, 1), (2149, 1), (2351, 1), (2751, 1), (3132, 1), (6093, 1), (7824, 1), (8086, 1), (10515, 1), (10617, 1), (11154, 1), (11184, 1), (11185, 1), (11186, 1), (11187, 1), (11188, 1), (11189, 1), (11190, 1), (11191, 1)], [(18, 1), (19, 2), (20, 6), (21, 1), (31, 1), (33, 1), (37, 1), (50, 4), (51, 1), (53, 8), (64, 2), (77, 1), (92, 1), (124, 1), (185, 1), (246, 1), (645, 1), (833, 1), (956, 1), (1131, 1), (1714, 1), (1747, 1), (1890, 1), (2007, 1), (2149, 2), (2434, 1), (2751, 1), (2894, 1), (3402, 1), (4079, 1), (4298, 1), (4368, 1), (4915, 1), (5236, 1), (6710, 1), (8086, 1), (10709, 1), (11141, 1), (11192, 1), (11193, 1), (11194, 1), (11195, 1), (11196, 1), (11197, 1), (11198, 1), (11199, 1), (11200, 1), (11201, 1)], [(8, 1), (10, 1), (18, 1), (20, 7), (22, 3), (25, 2), (34, 1), (37, 1), (50, 8), (53, 5), (58, 2), (65, 3), (70, 1), (77, 2), (82, 1), (90, 1), (97, 1), (117, 1), (206, 1), (215, 1), (253, 1), (281, 1), (357, 1), (415, 1), (460, 1), (487, 1), (516, 1), (518, 1), (581, 1), (777, 1), (812, 1), (885, 1), (1007, 1), (1129, 1), (1159, 4), (1270, 1), (1647, 1), (1668, 1), (1694, 1), (1737, 1), (1902, 1), (1911, 3), (2321, 1), (2469, 1), (2746, 1), (3043, 1), (3318, 1), (3422, 1), (3853, 1), (6818, 1), (6845, 1), (6945, 1), (7568, 1), (7831, 1), (8640, 1), (8987, 1), (9342, 1), (9623, 1), (9868, 1), (9946, 1), (11202, 1), (11203, 1), (11204, 1), (11205, 1), (11206, 1), (11207, 1), (11208, 1), (11209, 1), (11210, 1), (11211, 1), (11212, 1), (11213, 1), (11214, 1), (11215, 1), (11216, 1)], [(8, 1), (18, 1), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (77, 1), (185, 1), (225, 1), (286, 1), (328, 1), (771, 1), (778, 1), (1159, 1), (2179, 1), (3110, 1), (4910, 1), (8639, 1), (10924, 1), (11202, 1)], [(8, 1), (20, 1), (22, 2), (40, 1), (50, 2), (53, 2), (82, 1), (90, 1), (108, 1), (185, 1), (215, 1), (229, 1), (502, 1), (531, 1), (777, 1), (1041, 1), (1159, 2), (1467, 1), (2454, 1), (2716, 1), (3164, 1), (4556, 1), (5703, 1), (6756, 1), (6839, 1), (10924, 1), (11141, 1), (11217, 1), (11218, 1), (11219, 1), (11220, 1), (11221, 1), (11222, 1), (11223, 1), (11224, 1)], [(8, 1), (19, 5), (20, 3), (22, 1), (23, 1), (31, 3), (37, 1), (50, 3), (53, 4), (69, 1), (71, 1), (77, 2), (82, 1), (90, 1), (111, 1), (161, 1), (185, 2), (193, 1), (234, 1), (246, 1), (269, 1), (328, 1), (420, 1), (834, 1), (1080, 1), (1487, 1), (1594, 2), (1613, 1), (1911, 1), (2265, 1), (2440, 1), (3034, 1), (3255, 1), (3402, 1), (4677, 1), (4764, 1), (6150, 1), (7303, 1), (7322, 1), (7761, 1), (8039, 1), (9975, 1), (10584, 2), (10924, 1), (11225, 1), (11226, 1), (11227, 1), (11228, 1), (11229, 1), (11230, 2), (11231, 1), (11232, 1)], [(7, 2), (8, 1), (23, 1), (53, 1), (71, 1), (205, 1), (206, 1), (418, 1), (596, 1), (830, 1), (1499, 1), (1898, 1), (2224, 1), (11233, 1), (11234, 1), (11235, 1)], [(7, 1), (8, 1), (18, 3), (19, 4), (20, 7), (21, 1), (22, 5), (24, 1), (25, 2), (29, 1), (30, 5), (31, 1), (37, 1), (45, 3), (50, 6), (53, 5), (71, 1), (72, 1), (77, 3), (92, 1), (109, 2), (173, 4), (215, 2), (239, 1), (256, 1), (287, 1), (310, 1), (365, 1), (392, 1), (420, 1), (459, 1), (498, 1), (504, 2), (679, 1), (680, 1), (708, 1), (709, 1), (711, 1), (778, 1), (809, 1), (812, 1), (897, 1), (915, 1), (1057, 1), (1090, 1), (1098, 1), (1122, 1), (1224, 1), (1304, 1), (1458, 1), (1487, 2), (1598, 1), (1689, 1), (1702, 1), (1731, 1), (1732, 1), (1806, 1), (1823, 1), (1890, 1), (1966, 1), (2120, 1), (2175, 1), (2479, 1), (2646, 1), (2939, 1), (3048, 1), (3417, 1), (3506, 1), (3528, 1), (3542, 1), (4034, 1), (4517, 1), (4533, 1), (4652, 1), (4858, 2), (5465, 1), (6623, 1), (6786, 1), (7105, 1), (9274, 1), (9549, 1), (10660, 1), (10726, 1), (10924, 1), (11142, 1), (11236, 1), (11237, 1), (11238, 1), (11239, 1), (11240, 1), (11241, 1), (11242, 1), (11243, 1), (11244, 1), (11245, 1), (11246, 1)], [(20, 3), (50, 2), (53, 3), (54, 1), (58, 1), (64, 1), (77, 1), (82, 1), (90, 2), (190, 1), (215, 1), (245, 1), (289, 1), (293, 2), (323, 1), (506, 1), (739, 2), (946, 1), (1090, 1), (1139, 1), (1167, 1), (1395, 1), (1742, 1), (2145, 1), (3524, 1), (4184, 1), (4926, 1), (6827, 1), (10924, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 1), (31, 2), (50, 5), (53, 6), (58, 1), (71, 1), (96, 1), (175, 1), (193, 1), (285, 1), (392, 1), (394, 1), (553, 1), (587, 1), (744, 2), (915, 1), (1499, 1), (1668, 1), (2565, 1), (3771, 1), (3952, 1), (4353, 1), (4585, 1), (5409, 1), (5429, 1), (6416, 1), (7445, 1), (7547, 1), (7651, 1), (9137, 1), (9575, 1), (11247, 1), (11248, 1), (11249, 1), (11250, 1), (11251, 1), (11252, 1), (11253, 1), (11254, 1), (11255, 1)], [(8, 1), (19, 1), (20, 2), (50, 3), (53, 4), (55, 3), (58, 1), (77, 1), (111, 1), (268, 1), (323, 1), (531, 1), (627, 1), (922, 1), (998, 1), (1457, 1), (1559, 1), (2198, 1), (2221, 1), (3189, 1), (4369, 1), (4401, 1), (5238, 1), (5804, 1), (8284, 1), (9065, 1), (10924, 1), (11256, 1), (11257, 1), (11258, 1), (11259, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 4), (30, 1), (31, 1), (45, 1), (50, 4), (53, 4), (55, 1), (96, 1), (173, 1), (193, 1), (281, 1), (293, 1), (326, 1), (448, 1), (518, 1), (675, 1), (1010, 1), (1041, 1), (1118, 1), (1139, 1), (1173, 1), (1350, 1), (1584, 1), (1960, 1), (2319, 1), (2322, 1), (2744, 1), (3088, 1), (3155, 1), (3380, 1), (3701, 1), (4199, 1), (4899, 1), (5052, 1), (5721, 1), (5871, 1), (8111, 1), (9154, 1), (11208, 1), (11259, 1), (11260, 1), (11261, 1), (11262, 1), (11263, 1), (11264, 1), (11265, 1), (11266, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (22, 1), (65, 1), (77, 1), (85, 1), (90, 1), (109, 1), (256, 1), (301, 1), (357, 2), (410, 1), (778, 2), (1304, 1), (1593, 1), (1628, 1), (2581, 1), (4627, 1), (6177, 1), (7484, 1), (9968, 1), (10924, 1), (11267, 1), (11268, 1), (11269, 1)], [(18, 1), (20, 8), (21, 2), (25, 1), (30, 1), (31, 2), (34, 1), (37, 1), (50, 3), (53, 2), (55, 1), (58, 2), (77, 1), (90, 2), (99, 1), (107, 1), (109, 1), (173, 2), (185, 1), (190, 1), (256, 2), (260, 1), (261, 1), (276, 1), (281, 1), (293, 1), (361, 1), (448, 1), (504, 1), (506, 1), (584, 1), (686, 1), (696, 1), (1041, 1), (1072, 1), (1262, 1), (1308, 1), (1348, 1), (1535, 1), (1714, 1), (1744, 1), (1791, 1), (2149, 3), (2168, 1), (2235, 1), (4450, 1), (5054, 1), (5158, 1), (5657, 1), (5708, 1), (5912, 1), (8123, 1), (11270, 1), (11271, 1), (11272, 1), (11273, 1), (11274, 1), (11275, 1), (11276, 1), (11277, 1), (11278, 1), (11279, 1)], [(19, 1), (20, 3), (22, 1), (30, 2), (31, 2), (45, 1), (50, 5), (53, 3), (55, 1), (77, 1), (90, 1), (96, 1), (108, 1), (161, 1), (173, 2), (185, 1), (268, 1), (293, 1), (351, 1), (422, 1), (670, 1), (1072, 1), (1131, 1), (1535, 1), (1587, 1), (1714, 1), (1779, 1), (1807, 1), (1999, 1), (2005, 1), (2141, 1), (2162, 1), (2168, 1), (2401, 1), (2532, 1), (2593, 1), (2847, 1), (5912, 1), (6347, 1), (11210, 1), (11274, 1), (11280, 1), (11281, 1), (11282, 1), (11283, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (31, 2), (50, 2), (53, 4), (56, 1), (226, 1), (256, 1), (260, 1), (357, 1), (1165, 1), (2353, 1), (6518, 1), (9115, 1), (9443, 1), (11284, 1), (11285, 1)], [(8, 1), (19, 1), (20, 4), (50, 2), (53, 3), (57, 1), (71, 1), (90, 1), (97, 1), (109, 1), (173, 1), (185, 1), (214, 1), (215, 2), (420, 1), (428, 1), (711, 1), (830, 1), (1240, 1), (1570, 1), (1690, 1), (1702, 1), (2117, 1), (2168, 1), (2360, 1), (2712, 1), (4201, 1), (4296, 1), (4932, 1), (5912, 1), (5917, 1), (10046, 1), (11280, 1), (11286, 1), (11287, 1), (11288, 1), (11289, 1)], [(18, 1), (19, 2), (20, 4), (22, 3), (37, 1), (50, 6), (53, 7), (90, 1), (206, 1), (214, 1), (215, 1), (247, 1), (365, 1), (897, 1), (1535, 1), (1593, 1), (1809, 1), (2463, 1), (2519, 1), (2945, 1), (4789, 1), (4943, 1), (9619, 1), (10726, 1), (11272, 1), (11277, 1), (11288, 1), (11290, 1), (11291, 1), (11292, 1), (11293, 1), (11294, 1), (11295, 1), (11296, 1)], [(8, 1), (20, 2), (22, 1), (50, 1), (53, 3), (55, 2), (97, 1), (203, 1), (215, 1), (487, 2), (506, 1), (694, 1), (744, 1), (834, 1), (1139, 1), (1466, 1), (1535, 1), (1779, 1), (1824, 1), (2117, 1), (2161, 1), (2258, 1), (2306, 1), (3289, 1), (3849, 1), (5148, 1), (5290, 1), (11297, 1)], [(8, 1), (20, 1), (31, 3), (50, 1), (53, 1), (56, 1), (185, 1), (228, 1), (459, 1), (675, 1), (1041, 1), (1161, 1), (2088, 1), (2100, 2), (2117, 1), (2681, 1), (8570, 1), (11122, 1), (11298, 1)], [(8, 1), (19, 2), (20, 6), (21, 1), (22, 2), (25, 4), (31, 1), (50, 3), (53, 7), (55, 1), (58, 3), (71, 1), (77, 2), (82, 1), (117, 1), (124, 2), (172, 2), (182, 1), (185, 1), (193, 1), (215, 2), (232, 1), (301, 1), (407, 2), (419, 2), (452, 1), (487, 2), (599, 1), (743, 1), (744, 1), (776, 1), (1164, 1), (1348, 1), (1628, 1), (1824, 2), (1875, 1), (2149, 2), (2154, 1), (2279, 1), (2847, 1), (4360, 1), (4404, 1), (4619, 1), (8039, 1), (8639, 1), (10874, 1), (10924, 1), (10984, 1), (11157, 1), (11299, 1), (11300, 1), (11301, 1), (11302, 1)], [(7, 1), (20, 2), (25, 2), (50, 3), (53, 5), (55, 1), (58, 2), (90, 1), (109, 1), (236, 1), (420, 1), (434, 1), (686, 1), (697, 1), (778, 1), (1041, 1), (1714, 1), (1820, 1), (2258, 1), (2507, 1), (2601, 1), (2909, 1), (4334, 1), (4641, 1), (4892, 1), (8605, 1), (9154, 1), (10726, 1), (11303, 1), (11304, 1), (11305, 1)], [(18, 4), (20, 4), (21, 1), (22, 2), (25, 1), (31, 2), (37, 2), (50, 5), (53, 3), (58, 2), (65, 1), (77, 4), (82, 1), (90, 2), (97, 1), (108, 1), (109, 1), (193, 1), (206, 1), (215, 2), (263, 1), (289, 1), (293, 1), (328, 1), (419, 1), (744, 1), (922, 1), (1074, 3), (1270, 1), (1342, 1), (1714, 1), (1787, 1), (1875, 1), (2681, 1), (5592, 1), (7256, 1), (8086, 1), (8236, 1), (9184, 1), (9443, 1), (10836, 1), (10924, 1), (11295, 1), (11306, 1), (11307, 1), (11308, 1), (11309, 1)], [(8, 1), (18, 1), (19, 1), (20, 16), (21, 3), (22, 5), (25, 9), (30, 1), (31, 3), (37, 6), (40, 1), (50, 6), (53, 12), (55, 1), (65, 1), (82, 1), (90, 5), (97, 1), (108, 1), (109, 1), (111, 2), (185, 1), (193, 1), (197, 2), (206, 1), (214, 1), (229, 1), (246, 1), (256, 3), (260, 1), (261, 1), (264, 1), (269, 1), (281, 2), (285, 1), (293, 2), (307, 1), (323, 1), (331, 1), (334, 1), (388, 1), (414, 1), (415, 2), (419, 2), (420, 2), (434, 1), (450, 1), (504, 1), (516, 2), (527, 1), (654, 2), (741, 1), (778, 2), (1041, 1), (1159, 1), (1196, 1), (1255, 1), (1308, 1), (1377, 1), (1392, 1), (1448, 1), (1625, 1), (1815, 1), (1862, 1), (2051, 1), (2235, 1), (2321, 1), (2365, 1), (2460, 1), (2507, 1), (2547, 1), (2670, 1), (2724, 1), (2772, 1), (3047, 1), (3171, 1), (3404, 1), (3641, 1), (3651, 1), (3671, 2), (3847, 1), (4167, 1), (4183, 1), (4188, 1), (4198, 1), (4311, 1), (4358, 1), (4671, 1), (4744, 1), (4950, 1), (5260, 1), (5280, 1), (5528, 2), (5616, 1), (6001, 1), (6416, 1), (6442, 1), (7375, 1), (8236, 1), (8370, 1), (8402, 1), (8735, 1), (9342, 1), (9975, 1), (11310, 1), (11311, 1), (11312, 1), (11313, 1), (11314, 1), (11315, 1), (11316, 1), (11317, 1), (11318, 1), (11319, 1), (11320, 1), (11321, 1), (11322, 1), (11323, 1), (11324, 1), (11325, 1), (11326, 1), (11327, 1), (11328, 1), (11329, 1), (11330, 1), (11331, 1), (11332, 1), (11333, 1), (11334, 1), (11335, 1), (11336, 1), (11337, 1), (11338, 1)], [(8, 1), (37, 1), (50, 1), (53, 2), (54, 1), (95, 1), (206, 1), (331, 1), (487, 1), (10984, 1), (11113, 1)], [(53, 1), (193, 1), (295, 1), (897, 1), (1714, 1), (2548, 1), (7415, 1), (11339, 1)], [(1544, 1), (11340, 1)], [(247, 1), (8598, 1)], [(64, 1), (247, 1), (883, 1)], [(20, 1), (90, 1), (99, 1), (809, 1), (1433, 1), (1714, 1), (7226, 1), (11341, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 2), (31, 2), (50, 1), (53, 6), (54, 1), (65, 3), (109, 1), (122, 1), (269, 1), (459, 1), (680, 1), (707, 1), (1179, 1), (1223, 1), (1262, 1), (2290, 1), (2343, 1), (2820, 1), (2965, 1), (3053, 1), (5314, 1), (7236, 1), (8253, 1), (10337, 1), (11342, 1), (11343, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (65, 1), (185, 1), (359, 1), (711, 1), (1179, 1), (1305, 1), (2019, 1), (7236, 1), (9497, 1), (11344, 1)], [(8, 1), (19, 1), (20, 3), (50, 1), (53, 3), (65, 1), (82, 1), (108, 1), (111, 1), (407, 1), (414, 1), (450, 1), (459, 1), (704, 1), (711, 1), (886, 1), (1596, 1), (2064, 1), (2075, 1), (2577, 1), (11345, 1), (11346, 1), (11347, 1), (11348, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 2), (53, 5), (75, 2), (752, 1), (1308, 1), (1763, 1), (2348, 1), (2716, 1), (3988, 1), (4549, 1), (6284, 1), (7362, 1), (7463, 1), (8018, 1), (10027, 1), (11344, 1), (11349, 1), (11350, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (31, 1), (45, 1), (50, 2), (53, 4), (54, 2), (65, 1), (90, 1), (122, 1), (185, 1), (246, 1), (269, 1), (337, 1), (707, 1), (767, 1), (2436, 1), (2652, 1), (2900, 1), (5076, 1), (5622, 1), (8444, 1), (11342, 1), (11351, 1), (11352, 1), (11353, 1)], [(64, 1), (247, 1), (10344, 1)], [(20, 1), (90, 1), (99, 1), (792, 1), (809, 1), (946, 1), (1433, 1), (11341, 1)], [(20, 2), (53, 1), (64, 1), (190, 1), (295, 1), (1714, 1), (1755, 1), (11351, 1), (11354, 1)], [(96, 1), (117, 1), (295, 1), (946, 1), (1075, 1), (1433, 1), (1898, 1)], [(18, 2), (21, 4), (53, 1), (58, 3), (64, 1), (66, 1), (77, 1), (99, 1), (117, 1), (351, 1), (516, 1), (759, 1), (809, 1), (1458, 1), (1487, 1), (1907, 1), (2295, 1), (5076, 1), (11355, 2)], [(64, 1), (71, 1), (247, 1), (6290, 1), (11356, 1)], [(66, 1), (90, 1), (1521, 1), (2543, 1), (11354, 1), (11357, 1)], [(20, 1), (21, 1), (32, 1), (58, 2), (64, 1), (77, 1), (111, 1), (328, 1), (351, 1), (418, 1), (516, 1), (777, 1), (1178, 1), (1248, 1), (1458, 1), (1574, 1), (2165, 1), (3786, 1), (11358, 1)], [(64, 1), (247, 1), (11359, 1)], [(20, 2), (172, 1), (190, 1), (295, 1), (1714, 1), (2993, 1), (3181, 1)], [(8, 1), (21, 1), (50, 1), (53, 1), (108, 1), (117, 1), (122, 1), (232, 1), (295, 2), (527, 1), (777, 1), (1248, 1), (1574, 1), (2016, 1), (2269, 1), (2852, 1), (3125, 1), (11360, 1), (11361, 1)], [(19, 1), (53, 1), (1178, 1), (1670, 1), (11354, 1)], [(20, 1), (22, 1), (23, 1), (64, 1), (66, 1), (96, 1), (117, 1), (190, 1), (295, 1), (1753, 1), (2467, 1), (2514, 1), (2993, 1), (3069, 1)], [(20, 3), (22, 1), (50, 1), (51, 1), (53, 4), (64, 1), (65, 1), (66, 1), (90, 1), (99, 2), (109, 1), (117, 3), (193, 1), (214, 1), (232, 1), (295, 1), (365, 1), (457, 1), (759, 1), (1240, 1), (1361, 1), (1749, 1), (2011, 1), (2030, 1), (2901, 2), (4939, 1), (7182, 1), (8018, 1), (9720, 1), (11362, 1)], [(8, 1), (22, 1), (34, 1), (64, 1), (96, 1), (117, 1), (186, 1), (419, 1), (1324, 1), (2854, 1), (4787, 1), (11363, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 1), (58, 1), (65, 1), (77, 1), (82, 1), (84, 1), (90, 1), (182, 1), (217, 1), (225, 1), (278, 1), (295, 1), (310, 1), (328, 1), (337, 1), (414, 1), (1779, 1), (1824, 1), (1867, 1), (1901, 1), (2064, 1), (2082, 1), (7055, 1), (8598, 1), (10269, 1), (11341, 1)], [(20, 2), (23, 1), (31, 1), (50, 1), (53, 1), (54, 1), (66, 1), (90, 2), (269, 1), (328, 1), (754, 1), (813, 1), (1901, 1), (2030, 1), (2145, 1), (2343, 1), (2926, 1), (7295, 1), (7411, 1)], [(64, 1), (247, 1), (11364, 1)], [(53, 1), (1178, 1), (11354, 1)], [(1544, 1), (11365, 1)], [(8, 1), (24, 1), (11366, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 1), (30, 2), (31, 1), (45, 4), (50, 2), (53, 3), (55, 1), (65, 1), (85, 1), (90, 2), (91, 1), (99, 2), (130, 1), (172, 1), (182, 1), (285, 1), (287, 1), (307, 1), (310, 2), (337, 1), (365, 1), (414, 2), (428, 1), (829, 1), (1066, 1), (1224, 1), (1506, 1), (1608, 1), (1904, 1), (2168, 1), (2184, 1), (2196, 1), (2351, 1), (2354, 1), (2756, 1), (2766, 1), (3527, 1), (4729, 1), (5986, 1), (6315, 1), (6359, 1), (6366, 1), (7422, 1), (11367, 1), (11368, 1), (11369, 1), (11370, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (30, 1), (45, 1), (53, 1), (55, 1), (58, 1), (90, 1), (97, 1), (99, 1), (172, 1), (182, 1), (220, 1), (256, 1), (285, 1), (307, 2), (328, 1), (459, 1), (777, 1), (1377, 1), (2148, 1), (2157, 1), (2586, 1), (2615, 1), (3118, 1), (4536, 1), (4795, 1), (5985, 1), (7362, 1), (9696, 1), (10148, 1), (10623, 1), (11313, 1), (11371, 1), (11372, 1), (11373, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (30, 1), (31, 1), (50, 2), (51, 1), (53, 1), (65, 1), (97, 1), (111, 1), (173, 1), (182, 1), (187, 1), (217, 1), (285, 1), (310, 1), (347, 1), (355, 1), (414, 1), (422, 1), (459, 1), (753, 1), (1451, 1), (2148, 2), (2359, 1), (3537, 1), (4682, 1), (5368, 1), (5833, 1), (5848, 1), (6044, 1), (6213, 1), (6510, 1), (7167, 1), (11374, 1), (11375, 1)], [(8, 1), (20, 5), (25, 4), (31, 1), (40, 1), (45, 3), (50, 3), (53, 5), (54, 2), (55, 1), (58, 1), (68, 1), (69, 1), (85, 1), (90, 1), (108, 1), (173, 1), (281, 2), (414, 1), (441, 1), (448, 1), (582, 1), (706, 1), (709, 1), (777, 1), (903, 1), (1057, 1), (1175, 1), (1377, 1), (1529, 1), (1820, 1), (2088, 1), (2601, 1), (2615, 3), (2754, 1), (2756, 2), (2831, 1), (3004, 1), (3378, 1), (3392, 1), (3478, 1), (3536, 1), (4427, 1), (5053, 1), (5482, 1), (5496, 1), (7248, 1), (7613, 1), (8341, 1), (10043, 1), (10912, 1), (11367, 1), (11371, 2), (11372, 1), (11376, 1)], [(8, 1), (20, 2), (31, 2), (45, 2), (50, 1), (53, 1), (54, 1), (58, 1), (82, 1), (90, 1), (185, 1), (301, 1), (777, 1), (1224, 1), (1597, 1), (1820, 1), (3051, 1), (4729, 1), (6315, 1), (11367, 1), (11377, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (69, 1), (83, 1), (85, 1), (197, 2), (443, 1), (448, 1), (459, 3), (711, 1), (1224, 2), (5673, 1), (8786, 1), (10651, 1), (11372, 1), (11378, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (30, 1), (37, 1), (45, 1), (50, 4), (53, 2), (54, 1), (55, 2), (90, 1), (124, 1), (236, 1), (239, 1), (286, 1), (307, 1), (404, 1), (526, 1), (1628, 1), (1886, 1), (6315, 1), (7548, 1), (10679, 1), (10765, 1), (11367, 1), (11379, 1), (11380, 1), (11381, 1)], [(8, 1), (19, 2), (20, 2), (31, 1), (50, 2), (53, 3), (55, 1), (58, 1), (82, 1), (85, 1), (161, 1), (185, 1), (266, 1), (269, 2), (346, 1), (531, 1), (601, 1), (1470, 1), (1820, 1), (1886, 1), (3804, 1), (3831, 1), (3978, 1), (4082, 1), (4491, 1), (5254, 1), (5553, 1), (6484, 1), (8053, 1), (11382, 1), (11383, 1)], [(8, 1), (19, 4), (20, 6), (22, 3), (25, 3), (30, 1), (31, 2), (37, 1), (45, 1), (50, 3), (53, 5), (58, 1), (69, 1), (71, 1), (82, 1), (90, 1), (95, 1), (108, 1), (111, 1), (117, 1), (166, 1), (185, 1), (193, 1), (232, 1), (281, 1), (293, 1), (301, 1), (323, 1), (361, 1), (441, 1), (696, 1), (792, 1), (1470, 1), (1483, 1), (1594, 1), (1597, 1), (1644, 1), (2575, 1), (3227, 1), (3330, 1), (3514, 1), (3697, 1), (3994, 1), (4738, 1), (5054, 1), (5848, 1), (6026, 1), (6213, 1), (6315, 1), (7322, 1), (7824, 1), (7906, 1), (9068, 1), (9248, 1), (9852, 1), (10679, 1), (11384, 1), (11385, 1), (11386, 1), (11387, 1)], [(8, 1), (19, 3), (20, 5), (22, 1), (25, 1), (31, 1), (50, 5), (53, 10), (56, 1), (65, 1), (71, 2), (77, 1), (90, 2), (95, 3), (108, 1), (111, 1), (117, 1), (166, 1), (173, 1), (228, 1), (232, 1), (241, 1), (269, 1), (285, 1), (459, 1), (834, 1), (894, 1), (897, 1), (1098, 1), (1133, 1), (1488, 1), (2048, 1), (2666, 1), (2785, 1), (3330, 1), (3532, 1), (3700, 1), (3739, 1), (4652, 1), (5582, 1), (5910, 1), (5942, 1), (6075, 1), (6089, 1), (6213, 2), (8290, 1), (10060, 1), (11388, 1), (11389, 1), (11390, 1), (11391, 1), (11392, 1), (11393, 1), (11394, 1), (11395, 1), (11396, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 1), (95, 1), (172, 1), (185, 1), (217, 1), (353, 1), (1549, 1), (3748, 1), (4455, 1), (6213, 1), (11367, 1), (11397, 1), (11398, 1), (11399, 1)], [(7742, 1)], [(0, 1), (7, 2), (8, 1), (20, 6), (50, 1), (53, 3), (54, 1), (77, 1), (85, 1), (531, 1), (767, 1), (1389, 1), (4612, 1), (4806, 1), (5217, 1), (5509, 1), (7300, 1), (7742, 1), (8355, 1), (9255, 1), (11400, 1), (11401, 1), (11402, 1), (11403, 1), (11404, 1), (11405, 1), (11406, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (31, 2), (50, 2), (53, 1), (58, 2), (77, 1), (90, 2), (163, 1), (214, 1), (639, 1), (744, 1), (1598, 1), (2139, 1), (3416, 1), (5326, 1), (7613, 1), (11405, 2), (11407, 1)], [(7, 1), (19, 2), (20, 3), (22, 3), (25, 2), (31, 3), (50, 7), (53, 5), (64, 1), (66, 1), (83, 1), (90, 1), (92, 2), (97, 3), (106, 1), (108, 1), (111, 1), (172, 2), (182, 1), (187, 1), (197, 1), (214, 2), (217, 2), (269, 1), (412, 2), (418, 1), (428, 1), (583, 1), (714, 2), (970, 1), (1055, 2), (1129, 3), (1248, 1), (1527, 1), (2449, 1), (2615, 1), (2819, 2), (2872, 2), (3583, 1), (3752, 1), (3852, 2), (6213, 1), (7613, 1), (8243, 1), (11408, 1), (11409, 3), (11410, 1), (11411, 1), (11412, 1), (11413, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 9), (21, 2), (22, 1), (31, 1), (40, 1), (50, 1), (53, 2), (55, 2), (65, 2), (72, 1), (90, 1), (109, 2), (161, 1), (187, 1), (214, 1), (215, 1), (268, 1), (269, 2), (273, 1), (316, 1), (420, 1), (448, 1), (450, 1), (583, 1), (661, 1), (697, 1), (709, 1), (711, 1), (744, 2), (1043, 1), (1159, 1), (1239, 1), (1903, 1), (1964, 1), (2053, 1), (2228, 1), (2265, 1), (2353, 1), (2543, 1), (3416, 1), (4081, 1), (5054, 1), (5340, 1), (5942, 1), (6053, 1), (6213, 1), (7088, 1), (7613, 1), (7710, 1), (7866, 1), (8269, 1), (11299, 1), (11414, 1), (11415, 1), (11416, 1), (11417, 1), (11418, 1)], [(7, 1), (8, 1), (10, 1), (18, 1), (19, 3), (20, 8), (25, 1), (31, 3), (50, 1), (53, 6), (65, 2), (71, 2), (77, 2), (95, 2), (97, 1), (109, 1), (111, 2), (117, 2), (124, 1), (161, 1), (173, 1), (185, 1), (193, 1), (206, 2), (215, 2), (222, 1), (229, 1), (232, 2), (233, 1), (256, 1), (269, 1), (317, 1), (420, 1), (448, 1), (661, 1), (709, 1), (771, 1), (812, 1), (1041, 1), (1102, 1), (1160, 1), (1229, 1), (1239, 1), (1240, 1), (1481, 1), (1520, 1), (1720, 2), (1761, 1), (1824, 1), (1998, 1), (2117, 1), (2543, 1), (2744, 1), (2757, 1), (3959, 1), (4454, 1), (5487, 1), (5825, 1), (6818, 1), (6820, 1), (7506, 1), (9453, 1), (9693, 1), (9829, 1), (11419, 1), (11420, 1), (11421, 1), (11422, 1), (11423, 1), (11424, 1), (11425, 1), (11426, 1), (11427, 1), (11428, 1), (11429, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (55, 1), (71, 1), (77, 1), (90, 3), (108, 1), (187, 1), (193, 1), (334, 1), (340, 1), (388, 1), (830, 1), (1597, 1), (2304, 1), (2543, 1), (3980, 1), (4739, 1), (5848, 1), (11430, 1), (11431, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (25, 1), (31, 1), (45, 3), (46, 1), (50, 2), (53, 1), (65, 1), (71, 1), (82, 2), (166, 2), (173, 1), (193, 1), (215, 1), (240, 1), (256, 1), (260, 1), (281, 1), (293, 1), (331, 1), (414, 1), (556, 1), (654, 1), (680, 1), (696, 1), (697, 1), (834, 1), (897, 1), (1308, 1), (1342, 1), (1377, 1), (1873, 1), (2036, 1), (2184, 1), (2744, 1), (3701, 1), (3974, 1), (4674, 1), (5236, 1), (6001, 1), (6053, 1), (6315, 1), (6927, 1), (7395, 1), (7774, 1), (8747, 2), (10628, 1), (11432, 1)], [(8, 1), (18, 1), (19, 1), (45, 1), (54, 1), (97, 1), (193, 1), (256, 1), (351, 1), (763, 1), (903, 1), (1668, 1), (1702, 1), (3678, 1), (11433, 1), (11434, 1), (11435, 1), (11436, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (82, 1), (293, 1), (301, 1), (1499, 1), (3680, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 2), (31, 1), (50, 1), (53, 5), (55, 1), (71, 1), (85, 1), (90, 2), (94, 1), (97, 1), (99, 1), (108, 1), (111, 1), (172, 1), (185, 2), (187, 1), (190, 1), (214, 1), (225, 1), (273, 1), (328, 2), (450, 1), (459, 1), (744, 2), (834, 1), (894, 1), (922, 1), (990, 1), (1072, 1), (1102, 1), (1139, 1), (1140, 1), (1393, 1), (1483, 1), (1597, 1), (1824, 1), (1909, 1), (2035, 1), (2117, 1), (2282, 1), (2362, 1), (5848, 1), (5917, 1), (6213, 1), (6402, 1), (8243, 1), (8747, 1), (8933, 1), (10563, 1), (11412, 1), (11437, 1), (11438, 1), (11439, 1), (11440, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (53, 3), (187, 1), (359, 1), (388, 1), (399, 1), (922, 1), (1160, 1), (1270, 1), (1308, 1), (1725, 1), (1909, 1), (2661, 1), (5866, 1), (6213, 1), (10941, 1), (11441, 1), (11442, 1), (11443, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (30, 1), (31, 2), (50, 1), (53, 4), (58, 1), (72, 1), (77, 1), (82, 1), (90, 2), (96, 1), (108, 1), (111, 1), (161, 1), (182, 1), (193, 1), (217, 1), (241, 1), (285, 1), (328, 1), (347, 1), (394, 1), (414, 2), (422, 1), (459, 1), (583, 1), (792, 1), (834, 1), (974, 1), (1102, 1), (1140, 1), (1322, 1), (1765, 1), (1824, 1), (1834, 1), (3523, 1), (3727, 1), (5054, 1), (6129, 1), (6149, 1), (7395, 1), (8893, 1), (8975, 1), (9026, 1), (9108, 1), (9657, 1), (11439, 1), (11444, 1), (11445, 1)], [(8, 1), (20, 3), (55, 1), (173, 1), (193, 1), (241, 1), (278, 1), (347, 1), (415, 1), (448, 1), (1139, 1), (1377, 1), (2744, 1), (6053, 1), (6695, 1), (8747, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (37, 1), (45, 2), (50, 1), (65, 2), (82, 1), (206, 1), (293, 1), (301, 1), (583, 1), (870, 1), (886, 1), (903, 1), (1308, 1), (2347, 1), (2352, 1), (3537, 2), (4591, 1), (11446, 1)], [(8, 1), (18, 2), (19, 2), (20, 8), (25, 1), (37, 1), (45, 2), (50, 2), (53, 1), (65, 1), (111, 1), (117, 1), (172, 1), (188, 1), (197, 1), (215, 1), (217, 2), (225, 1), (232, 1), (236, 1), (285, 1), (331, 1), (353, 1), (387, 1), (420, 1), (459, 2), (632, 1), (697, 1), (753, 1), (1139, 1), (1308, 1), (1342, 1), (1449, 1), (1597, 1), (2184, 1), (2270, 1), (2626, 1), (2986, 1), (3134, 1), (3384, 1), (4694, 1), (6315, 2), (7759, 1), (8287, 1), (9455, 1), (10548, 1), (11447, 1), (11448, 1), (11449, 1), (11450, 1), (11451, 1), (11452, 1), (11453, 1)], [(8, 1), (21, 1), (25, 1), (31, 1), (53, 3), (65, 3), (269, 1), (414, 1), (459, 1), (658, 1), (753, 1), (1342, 1), (1597, 1), (2184, 1), (5311, 1), (11454, 1), (11455, 1), (11456, 1), (11457, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (20, 6), (25, 1), (31, 3), (50, 1), (53, 2), (108, 3), (161, 1), (215, 1), (217, 1), (269, 1), (286, 1), (328, 1), (347, 1), (609, 1), (834, 1), (897, 1), (1041, 1), (1122, 1), (2306, 1), (3114, 1), (3145, 1), (3426, 1), (3726, 1), (4551, 1), (4652, 1), (7853, 1), (9941, 1), (11458, 1), (11459, 1), (11460, 1), (11461, 1), (11462, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (45, 2), (50, 1), (51, 1), (53, 5), (54, 2), (55, 2), (58, 1), (90, 2), (95, 1), (278, 1), (322, 1), (328, 2), (347, 2), (351, 1), (407, 1), (435, 1), (441, 1), (459, 1), (645, 1), (771, 1), (778, 1), (894, 1), (1139, 1), (2184, 1), (2455, 1), (3741, 1), (3899, 1), (4326, 1), (7975, 1), (10597, 1), (10765, 1), (10856, 1), (11463, 1)], [(8, 1), (19, 3), (20, 2), (22, 1), (25, 1), (29, 1), (31, 2), (37, 2), (45, 4), (50, 1), (53, 3), (55, 1), (58, 1), (71, 1), (82, 1), (97, 1), (166, 1), (173, 2), (185, 1), (201, 1), (215, 1), (269, 1), (281, 1), (285, 1), (293, 1), (301, 1), (428, 1), (601, 1), (767, 1), (834, 1), (1175, 1), (1377, 1), (1628, 1), (1911, 1), (2656, 1), (2666, 1), (4059, 1), (5470, 1), (5674, 1), (6315, 1), (7415, 1), (8117, 1), (9274, 1), (9550, 1), (10244, 1), (10866, 1), (11124, 1), (11464, 1), (11465, 1), (11466, 1), (11467, 2), (11468, 1), (11469, 1), (11470, 1), (11471, 1), (11472, 1)], [(8, 1), (20, 1), (50, 1), (53, 4), (65, 3), (109, 1), (193, 1), (346, 1), (347, 1), (414, 1), (452, 1), (1361, 1), (2228, 1), (3363, 1), (6129, 1), (11454, 1), (11455, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (31, 2), (50, 1), (53, 2), (166, 1), (310, 1), (328, 1), (334, 1), (463, 1), (885, 1), (897, 2), (901, 1), (1043, 1), (1055, 1), (1155, 1), (1159, 1), (1165, 1), (1342, 1), (1450, 1), (1990, 1), (2206, 1), (2207, 1), (2575, 1), (3300, 1), (3480, 1), (5611, 1), (8243, 1), (11473, 1), (11474, 1), (11475, 1)], [(8, 1), (20, 1), (53, 1), (108, 1), (173, 1), (192, 1), (203, 1), (3086, 1), (3134, 1), (11439, 1), (11476, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (50, 2), (53, 2), (55, 1), (117, 1), (185, 1), (217, 1), (232, 1), (239, 1), (347, 1), (452, 1), (487, 1), (1499, 1), (1742, 1), (2361, 1), (3420, 1), (5319, 1), (6129, 1), (6315, 1), (6623, 1), (8099, 1), (8977, 1)], [(7, 2), (8, 1), (18, 1), (20, 8), (22, 2), (25, 2), (30, 1), (31, 4), (45, 4), (50, 2), (53, 3), (54, 1), (65, 2), (97, 1), (109, 1), (111, 3), (161, 1), (173, 1), (186, 1), (285, 1), (307, 1), (412, 1), (415, 1), (463, 1), (504, 1), (518, 1), (531, 2), (687, 1), (708, 1), (743, 1), (756, 1), (828, 1), (892, 1), (990, 1), (1248, 1), (1348, 1), (1692, 1), (1910, 1), (2172, 1), (2756, 1), (2872, 1), (2920, 1), (3114, 2), (3141, 1), (3429, 1), (4199, 1), (4652, 1), (4699, 1), (4903, 1), (5053, 1), (6053, 1), (7415, 1), (7512, 1), (8382, 1), (8747, 1), (9515, 1), (9657, 1), (10515, 1), (10563, 1), (11477, 1), (11478, 1), (11479, 1), (11480, 1), (11481, 1)], [(1, 1), (4, 1), (8, 1), (20, 5), (22, 1), (25, 1), (50, 1), (53, 3), (56, 1), (65, 2), (90, 1), (117, 1), (161, 1), (232, 1), (241, 1), (256, 1), (428, 1), (601, 1), (754, 1), (1229, 1), (3043, 1), (4092, 1), (5247, 1), (6129, 1), (7466, 1), (11482, 1), (11483, 1), (11484, 1), (11485, 1), (11486, 1), (11487, 1), (11488, 1), (11489, 1), (11490, 1), (11491, 1), (11492, 1)], [(18, 2), (20, 7), (22, 2), (25, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 2), (58, 1), (65, 1), (71, 1), (82, 1), (90, 1), (95, 1), (109, 1), (185, 2), (215, 1), (236, 1), (256, 1), (260, 2), (269, 1), (301, 1), (504, 1), (583, 1), (675, 1), (743, 1), (778, 1), (1310, 1), (1584, 1), (1714, 1), (1824, 1), (2151, 1), (2340, 1), (3221, 1), (3978, 1), (4015, 1), (4033, 1), (4038, 1), (5742, 1), (6168, 1), (7061, 1), (7442, 1), (7543, 1), (11493, 1), (11494, 1), (11495, 1), (11496, 1), (11497, 1)], [(8, 1), (1778, 1)], [(1, 1), (4, 1), (8, 1), (20, 2), (25, 1), (45, 1), (50, 1), (53, 1), (65, 2), (71, 1), (82, 1), (166, 1), (256, 1), (286, 1), (778, 2), (1393, 1), (2198, 2), (2732, 1), (5053, 1), (11498, 1)], [(19, 1), (20, 3), (21, 1), (23, 1), (25, 1), (30, 1), (31, 1), (45, 1), (53, 1), (82, 1), (95, 1), (172, 1), (173, 2), (174, 1), (215, 1), (285, 2), (292, 1), (331, 1), (337, 2), (626, 1), (777, 1), (1057, 1), (1377, 2), (1558, 1), (1687, 1), (1714, 1), (2646, 1), (5081, 1), (6315, 1), (8424, 1), (11367, 1), (11499, 1), (11500, 2)], [(18, 1), (20, 1), (25, 1), (85, 1), (117, 1), (214, 1), (232, 1), (247, 1), (482, 1), (516, 1), (2340, 1), (3000, 1), (4609, 1), (7344, 1), (8321, 1), (9179, 1), (11501, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 2), (25, 2), (30, 1), (31, 2), (45, 2), (50, 2), (53, 2), (173, 1), (226, 1), (285, 2), (331, 1), (414, 1), (426, 1), (430, 1), (742, 1), (777, 1), (1010, 1), (1057, 1), (1594, 1), (2064, 1), (3221, 1), (4082, 1), (4903, 1), (5712, 1), (11330, 1), (11502, 1), (11503, 1), (11504, 1), (11505, 1)], [(20, 1), (247, 1), (332, 1), (2058, 1)], [(8, 1), (50, 1), (55, 1), (77, 1), (90, 1), (96, 1), (269, 1), (323, 1), (645, 1), (1747, 1), (5248, 1), (7822, 1), (10782, 1), (11506, 1), (11507, 1), (11508, 1), (11509, 1)], [(8, 1), (22, 1), (25, 1), (31, 1), (36, 1), (45, 2), (55, 2), (229, 1), (485, 1), (1354, 1), (1505, 1), (3479, 1), (8070, 1), (9810, 1), (11510, 1)], [(7, 1), (8, 1), (18, 4), (19, 1), (20, 13), (22, 3), (25, 9), (27, 1), (30, 4), (31, 4), (45, 6), (50, 3), (53, 5), (54, 2), (55, 1), (65, 1), (71, 1), (90, 1), (91, 3), (92, 2), (97, 2), (109, 5), (185, 1), (186, 2), (195, 1), (206, 1), (215, 2), (229, 1), (261, 1), (275, 1), (285, 2), (310, 1), (361, 1), (399, 1), (414, 2), (420, 3), (452, 1), (505, 1), (709, 1), (740, 1), (827, 1), (903, 1), (999, 1), (1041, 1), (1057, 1), (1071, 1), (1102, 1), (1122, 3), (1224, 1), (1377, 1), (1432, 1), (1528, 1), (2030, 1), (2168, 1), (2266, 1), (2455, 1), (2471, 1), (2743, 1), (3020, 1), (3048, 1), (3132, 1), (3728, 1), (4116, 1), (4404, 1), (4442, 1), (4602, 1), (4840, 1), (4890, 1), (4891, 1), (5056, 1), (5142, 1), (5704, 1), (5753, 1), (5877, 1), (6315, 1), (6608, 1), (6685, 1), (7640, 1), (9998, 1), (10544, 1), (10728, 1), (10906, 1), (10958, 1), (11276, 1), (11511, 1), (11512, 1), (11513, 1), (11514, 1), (11515, 1), (11516, 1), (11517, 1), (11518, 1), (11519, 1), (11520, 1), (11521, 1), (11522, 1)], [(8, 1), (20, 4), (45, 1), (50, 3), (53, 2), (111, 1), (193, 1), (206, 1), (229, 1), (256, 1), (448, 1), (459, 1), (827, 1), (1041, 1), (1499, 1), (1742, 1), (3579, 1), (4199, 1), (5201, 1), (5269, 1), (7876, 1), (8570, 1), (11523, 1), (11524, 1), (11525, 1), (11526, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 3), (54, 1), (58, 1), (82, 1), (90, 2), (95, 1), (109, 1), (170, 1), (185, 1), (193, 1), (286, 1), (293, 1), (347, 1), (744, 1), (778, 1), (1458, 1), (1859, 1), (2179, 1), (2744, 1), (3048, 1), (4116, 1), (4304, 1), (6315, 2), (7061, 1), (7857, 1), (8039, 1), (11527, 1), (11528, 1)], [(8, 1), (20, 7), (22, 1), (24, 1), (25, 1), (30, 1), (31, 2), (50, 2), (53, 6), (54, 2), (58, 3), (97, 2), (108, 3), (109, 2), (111, 2), (193, 1), (268, 1), (387, 1), (415, 1), (531, 1), (672, 1), (827, 1), (1041, 1), (1342, 2), (1594, 1), (1625, 1), (1628, 1), (1799, 1), (2744, 1), (2825, 1), (3392, 1), (3547, 1), (3731, 1), (4353, 1), (5081, 1), (6845, 1), (7184, 1), (8039, 1), (9621, 1), (11529, 1), (11530, 1), (11531, 1), (11532, 1), (11533, 1), (11534, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 1), (37, 1), (45, 2), (50, 3), (53, 2), (55, 1), (58, 1), (65, 1), (82, 1), (90, 2), (117, 1), (172, 1), (186, 1), (190, 1), (195, 1), (203, 1), (215, 1), (217, 1), (229, 2), (232, 1), (269, 1), (301, 1), (305, 1), (428, 1), (740, 1), (795, 1), (827, 1), (1005, 1), (1041, 2), (1392, 1), (1594, 1), (1628, 1), (1747, 1), (1822, 1), (2196, 2), (2545, 1), (2651, 1), (3132, 1), (3421, 1), (4299, 1), (5199, 1), (6315, 1), (8210, 1), (11297, 1), (11535, 1), (11536, 1), (11537, 1), (11538, 1), (11539, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (53, 2), (54, 1), (58, 1), (65, 1), (97, 1), (109, 1), (166, 1), (1529, 1), (2179, 1), (2440, 1), (2456, 1), (3476, 1), (3755, 1), (4159, 1), (4333, 1), (5082, 1), (6424, 1), (7488, 1), (7848, 1), (11456, 1), (11540, 1)], [(8, 1), (18, 4), (19, 2), (20, 8), (25, 1), (31, 1), (45, 1), (50, 2), (53, 2), (54, 1), (71, 1), (85, 1), (90, 1), (96, 1), (108, 1), (109, 1), (192, 1), (256, 2), (261, 1), (387, 1), (420, 1), (531, 1), (654, 1), (672, 1), (827, 1), (903, 1), (1074, 1), (1342, 1), (1385, 1), (1392, 1), (1449, 1), (1541, 1), (2173, 1), (2365, 1), (2743, 1), (4299, 1), (5200, 1), (5384, 1), (6315, 1), (11307, 1), (11541, 1), (11542, 1), (11543, 1), (11544, 1), (11545, 1)], [(8, 1), (18, 3), (20, 2), (22, 3), (25, 1), (29, 1), (30, 1), (31, 1), (40, 1), (51, 1), (53, 1), (90, 2), (108, 1), (172, 1), (173, 2), (245, 2), (246, 1), (281, 1), (332, 1), (333, 1), (452, 1), (645, 1), (1820, 1), (2912, 1), (3132, 1), (3358, 1), (3804, 2), (4062, 1), (4375, 1), (4841, 1), (5704, 1), (11546, 1), (11547, 1), (11548, 2)], [(1544, 1), (11549, 1)], [(8, 1), (24, 1), (11550, 1)], [(8, 1), (18, 3), (19, 4), (20, 8), (22, 2), (25, 4), (31, 6), (50, 6), (53, 6), (58, 1), (71, 4), (76, 1), (77, 1), (88, 1), (96, 1), (97, 1), (111, 1), (124, 1), (161, 1), (164, 1), (185, 3), (187, 1), (190, 1), (215, 5), (237, 1), (241, 1), (256, 1), (269, 2), (281, 1), (328, 1), (418, 1), (448, 1), (452, 1), (830, 2), (852, 1), (894, 1), (902, 1), (941, 1), (1041, 1), (1042, 1), (1196, 1), (1279, 1), (1281, 1), (1324, 1), (1330, 1), (1348, 1), (1464, 1), (1596, 1), (1702, 1), (2669, 1), (2772, 1), (2785, 1), (2990, 1), (3218, 1), (3495, 1), (3700, 1), (3986, 1), (4627, 1), (5936, 1), (5945, 1), (5996, 1), (6112, 1), (6213, 1), (6416, 1), (6516, 1), (8134, 1), (8854, 1), (8966, 1), (9260, 1), (10037, 1), (10578, 1), (11551, 1), (11552, 1), (11553, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 2), (21, 1), (22, 2), (23, 2), (25, 1), (46, 1), (50, 3), (53, 2), (58, 1), (71, 1), (82, 1), (88, 1), (109, 1), (111, 1), (185, 1), (190, 1), (193, 1), (206, 1), (215, 1), (256, 1), (292, 1), (506, 1), (1392, 1), (1580, 1), (1596, 1), (1622, 1), (1723, 1), (1873, 1), (1928, 1), (2602, 1), (2823, 1), (3413, 1), (3523, 1), (4152, 1), (4737, 1), (5310, 1), (6484, 1), (6901, 1), (9545, 1), (10779, 1), (11554, 1), (11555, 2), (11556, 1)], [(7, 2), (8, 1), (10, 1), (18, 3), (20, 6), (22, 2), (23, 1), (25, 2), (26, 1), (31, 1), (46, 1), (50, 1), (53, 4), (75, 1), (95, 1), (109, 1), (172, 2), (217, 2), (225, 2), (269, 1), (337, 2), (392, 1), (418, 1), (420, 1), (531, 1), (609, 1), (771, 1), (782, 1), (922, 2), (1139, 1), (1248, 2), (1458, 1), (1477, 1), (1853, 1), (2007, 1), (2259, 1), (2479, 1), (2730, 1), (3035, 1), (3114, 1), (3478, 1), (3528, 1), (4556, 1), (5081, 1), (6402, 1), (8054, 1), (10070, 1), (11557, 1), (11558, 1)], [(7, 1), (8, 1), (18, 4), (19, 3), (20, 11), (22, 2), (23, 1), (25, 2), (29, 1), (31, 3), (37, 1), (50, 3), (53, 8), (55, 1), (58, 1), (90, 1), (91, 1), (108, 1), (124, 1), (172, 1), (173, 1), (217, 1), (287, 1), (323, 1), (328, 1), (342, 1), (359, 1), (414, 1), (415, 1), (418, 2), (428, 1), (609, 2), (645, 1), (709, 1), (830, 1), (833, 1), (892, 1), (1139, 2), (1241, 1), (1248, 1), (1348, 1), (1488, 1), (1511, 1), (1901, 1), (2007, 1), (2036, 1), (2162, 1), (2348, 1), (2389, 1), (2440, 1), (2718, 1), (2737, 1), (3025, 1), (3041, 1), (3114, 1), (3756, 1), (3963, 1), (3971, 1), (4622, 1), (5658, 1), (6054, 1), (6566, 1), (7157, 1), (7664, 1), (11559, 1), (11560, 1), (11561, 1), (11562, 1), (11563, 1), (11564, 1), (11565, 1), (11566, 1), (11567, 1), (11568, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (37, 1), (50, 1), (53, 3), (55, 1), (58, 1), (95, 1), (172, 1), (173, 1), (203, 1), (217, 1), (256, 1), (268, 2), (347, 2), (414, 1), (441, 1), (597, 1), (1041, 2), (1477, 1), (2175, 1), (2196, 1), (3467, 1), (3971, 1), (4825, 1), (5878, 1), (10708, 1), (11569, 1), (11570, 1), (11571, 1)], [(8, 1), (20, 1), (25, 2), (53, 2), (95, 1), (106, 1), (185, 1), (269, 1), (329, 1), (415, 1), (426, 1), (645, 1), (1458, 1), (11572, 1)], [(8, 1), (19, 1), (20, 5), (22, 2), (23, 3), (25, 1), (31, 2), (46, 1), (50, 1), (53, 5), (55, 1), (74, 1), (77, 1), (90, 1), (91, 2), (109, 1), (172, 1), (185, 1), (187, 1), (273, 1), (281, 1), (418, 2), (703, 1), (726, 2), (771, 1), (893, 1), (906, 1), (1149, 1), (1248, 1), (1477, 1), (2077, 1), (2523, 1), (3417, 1), (5673, 1), (6402, 1), (6541, 1), (10070, 1)], [(8, 1), (18, 1), (20, 4), (23, 2), (25, 2), (31, 1), (50, 1), (53, 4), (54, 1), (58, 1), (65, 1), (85, 1), (90, 1), (95, 1), (97, 1), (117, 1), (220, 1), (232, 1), (293, 1), (328, 1), (347, 1), (359, 1), (373, 1), (609, 1), (692, 1), (763, 1), (813, 1), (1133, 1), (1140, 1), (1248, 2), (1342, 1), (1393, 1), (1415, 1), (1487, 1), (1666, 1), (1667, 1), (2007, 1), (2344, 2), (2479, 1), (2744, 1), (7654, 1), (9025, 1)], [(8, 1), (20, 1), (23, 2), (54, 1), (58, 1), (90, 1), (124, 1), (242, 1), (256, 1), (273, 1), (609, 1), (833, 1), (1172, 1), (1248, 1), (1541, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 2), (31, 1), (50, 2), (53, 2), (77, 1), (97, 1), (109, 1), (172, 1), (214, 1), (228, 1), (246, 1), (256, 1), (268, 1), (325, 1), (328, 1), (415, 1), (897, 1), (1136, 1), (1196, 1), (1248, 1), (2030, 1), (2178, 1), (3034, 1), (3409, 1), (5054, 1), (6402, 2), (8054, 1), (11573, 1), (11574, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 2), (46, 1), (50, 1), (53, 3), (56, 1), (58, 1), (71, 1), (77, 1), (90, 1), (95, 1), (122, 1), (172, 1), (193, 1), (201, 1), (217, 2), (225, 1), (240, 1), (328, 1), (392, 1), (583, 1), (756, 1), (830, 1), (892, 1), (1139, 1), (1253, 1), (1597, 1), (1807, 1), (2744, 1), (3537, 1), (3726, 1), (5555, 1), (6402, 1), (6882, 1), (7514, 1), (8302, 1), (11575, 1), (11576, 1), (11577, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (25, 2), (30, 2), (31, 1), (45, 2), (54, 1), (71, 1), (82, 1), (90, 1), (95, 2), (108, 1), (109, 1), (161, 1), (187, 1), (201, 1), (215, 1), (238, 1), (253, 1), (310, 1), (415, 1), (428, 1), (515, 1), (531, 1), (537, 1), (687, 1), (711, 1), (744, 1), (830, 1), (877, 1), (1393, 1), (1627, 1), (1820, 1), (1845, 1), (2140, 1), (2266, 1), (2862, 1), (3478, 1), (3658, 1), (4020, 2), (4103, 1), (5384, 1), (6385, 1), (11115, 1), (11578, 1)], [(7, 2), (8, 1), (18, 3), (19, 2), (20, 2), (30, 1), (50, 2), (53, 4), (54, 1), (71, 1), (90, 2), (91, 1), (95, 1), (109, 1), (124, 1), (173, 1), (185, 1), (215, 1), (237, 1), (285, 1), (328, 2), (365, 1), (392, 2), (407, 1), (410, 2), (414, 1), (420, 1), (450, 1), (459, 1), (536, 1), (654, 1), (744, 1), (792, 1), (940, 1), (1165, 1), (1723, 1), (2197, 1), (2581, 1), (3207, 1), (3402, 1), (3582, 1), (4073, 1), (4686, 1), (4980, 1), (5385, 1), (7903, 1), (9464, 1), (9922, 1), (10629, 1), (11579, 1), (11580, 1), (11581, 1), (11582, 1), (11583, 1), (11584, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (30, 1), (31, 1), (53, 2), (90, 1), (108, 1), (178, 1), (184, 1), (334, 1), (448, 1), (450, 1), (504, 1), (531, 1), (551, 1), (601, 1), (645, 1), (711, 3), (885, 1), (892, 1), (1384, 1), (1774, 1), (1807, 1), (2026, 1), (2772, 1), (3034, 1), (4990, 1), (5199, 1), (6600, 1), (10580, 1), (11581, 1), (11585, 1), (11586, 1), (11587, 1), (11588, 1)], [(8, 1), (18, 2), (20, 4), (21, 1), (22, 2), (25, 2), (31, 2), (32, 1), (37, 1), (50, 2), (53, 1), (54, 2), (58, 1), (65, 1), (77, 1), (81, 2), (82, 2), (99, 1), (111, 1), (173, 2), (187, 1), (206, 1), (215, 2), (256, 1), (289, 1), (301, 1), (334, 1), (337, 1), (347, 1), (428, 1), (505, 1), (531, 1), (583, 1), (792, 1), (830, 1), (983, 1), (1129, 1), (1270, 1), (1308, 2), (1908, 1), (1958, 1), (2240, 2), (2785, 1), (3210, 1), (3633, 1), (3755, 1), (4033, 1), (4392, 1), (8958, 1), (9406, 1), (9467, 1), (9571, 1), (11589, 1), (11590, 1), (11591, 1), (11592, 1)], [(20, 1), (58, 1), (82, 1), (247, 1), (293, 1), (1168, 1), (4942, 1), (5768, 1), (11593, 1)], [(20, 3), (31, 1), (50, 2), (53, 2), (54, 1), (81, 1), (90, 1), (109, 1), (117, 1), (174, 1), (182, 1), (246, 1), (293, 1), (323, 1), (357, 1), (516, 1), (531, 1), (792, 1), (1714, 1), (2551, 1), (2606, 1), (2660, 1), (5784, 1), (6945, 1), (8112, 1), (8814, 1), (9423, 1), (11594, 1), (11595, 1), (11596, 1), (11597, 1), (11598, 1)], [(20, 1), (58, 1), (82, 1), (247, 1), (293, 1), (1999, 1), (3234, 1), (4749, 1), (4942, 1), (5768, 1)], [(31, 1), (37, 1), (50, 2), (53, 2), (90, 1), (357, 1), (450, 1), (1502, 1), (1714, 1), (6513, 1), (9810, 1), (10567, 1), (10584, 1), (10693, 1), (11599, 1)], [(20, 1), (58, 1), (82, 1), (247, 1), (293, 1), (4942, 1), (5768, 1), (11600, 1)], [(18, 1), (20, 1), (50, 2), (53, 2), (65, 1), (193, 1), (246, 1), (273, 1), (305, 1), (711, 1), (778, 1), (1582, 1), (1714, 1), (2198, 1), (2428, 1), (2744, 1), (4143, 1), (4214, 1), (4281, 1), (4709, 1), (11535, 1), (11601, 1)], [(20, 1), (58, 1), (82, 1), (247, 1), (293, 1), (3613, 1), (4942, 1), (5768, 1), (11602, 1)], [(20, 1), (51, 1), (53, 1), (55, 1), (95, 1), (247, 1), (281, 1), (357, 1), (516, 1), (531, 1), (626, 1), (1466, 1), (3478, 1), (10011, 1), (11603, 1), (11604, 1)], [(8, 1), (19, 2), (20, 1), (46, 1), (50, 1), (53, 2), (111, 1), (187, 1), (214, 1), (215, 2), (226, 1), (240, 1), (359, 1), (404, 1), (2655, 1), (10652, 1), (11605, 1), (11606, 1), (11607, 1), (11608, 1), (11609, 1), (11610, 1), (11611, 1)], [(8, 1), (37, 1), (77, 1), (82, 1), (185, 1), (301, 1)], [(7, 1), (8, 1), (19, 1), (20, 8), (25, 2), (31, 4), (45, 1), (50, 4), (51, 1), (53, 4), (55, 1), (58, 1), (85, 2), (90, 2), (92, 1), (170, 1), (186, 1), (193, 1), (215, 2), (239, 1), (289, 1), (323, 1), (334, 1), (337, 1), (347, 1), (394, 1), (399, 1), (450, 1), (459, 1), (461, 1), (913, 1), (1011, 1), (1150, 1), (1168, 1), (1237, 1), (1449, 1), (1478, 1), (1522, 1), (1582, 1), (1594, 1), (1904, 1), (1999, 1), (2015, 1), (2096, 1), (2148, 1), (2712, 1), (2744, 1), (3234, 1), (3613, 1), (3835, 1), (4005, 1), (4659, 1), (5056, 1), (6205, 1), (8008, 1), (8117, 1), (9554, 1), (11602, 1), (11612, 1), (11613, 1), (11614, 1), (11615, 1), (11616, 1), (11617, 1), (11618, 1), (11619, 1), (11620, 1), (11621, 1), (11622, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (23, 2), (31, 2), (37, 1), (50, 3), (53, 4), (82, 1), (97, 1), (111, 1), (124, 1), (169, 1), (215, 1), (226, 1), (269, 1), (415, 1), (418, 1), (487, 1), (506, 1), (581, 1), (756, 1), (833, 1), (852, 1), (885, 1), (919, 1), (1080, 1), (1139, 1), (1296, 1), (1470, 1), (1613, 1), (1685, 1), (1731, 1), (1884, 1), (2184, 1), (2985, 1), (3034, 1), (3213, 1), (10515, 1), (11623, 1), (11624, 1), (11625, 1), (11626, 1)], [(8, 1), (50, 1), (77, 1), (185, 1), (215, 2), (263, 1), (269, 1), (286, 1), (289, 1), (834, 1), (941, 1), (1139, 1), (3409, 1), (6402, 1), (9760, 1), (11627, 1), (11628, 1)], [(1, 1), (4, 1), (8, 1), (18, 2), (20, 6), (25, 4), (50, 4), (53, 4), (56, 1), (90, 1), (111, 1), (124, 1), (193, 1), (214, 1), (215, 1), (237, 1), (241, 1), (407, 2), (423, 1), (448, 2), (601, 1), (654, 1), (711, 1), (758, 1), (1702, 1), (1708, 1), (2470, 1), (2655, 1), (3255, 1), (4073, 1), (4926, 1), (5290, 1), (5555, 1), (6661, 1), (6805, 1), (7536, 1), (7928, 1), (11126, 1), (11523, 1), (11577, 1), (11629, 1), (11630, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (50, 3), (53, 3), (55, 1), (97, 1), (172, 2), (392, 1), (407, 1), (448, 1), (516, 1), (527, 1), (600, 1), (627, 1), (711, 2), (834, 1), (1130, 1), (1824, 1), (1909, 1), (2117, 1), (2162, 2), (3433, 1), (3528, 1), (4073, 1), (5960, 1), (9835, 1), (10728, 1), (11631, 1), (11632, 1), (11633, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (25, 2), (31, 2), (40, 1), (50, 1), (53, 2), (77, 1), (82, 1), (90, 2), (123, 1), (193, 1), (201, 1), (269, 1), (336, 1), (457, 1), (1499, 1), (1587, 1), (2197, 1), (2376, 1), (4055, 1), (4073, 1), (4620, 2), (4734, 1), (6103, 1), (10738, 1), (11634, 1), (11635, 1), (11636, 1)], [(7, 2), (19, 2), (20, 2), (21, 1), (31, 1), (50, 2), (53, 6), (65, 2), (77, 1), (81, 1), (90, 4), (95, 1), (99, 3), (117, 1), (178, 2), (185, 1), (190, 2), (193, 1), (232, 1), (310, 1), (323, 1), (324, 1), (328, 1), (365, 1), (708, 1), (774, 1), (791, 1), (827, 1), (872, 1), (1180, 2), (1239, 1), (1336, 1), (1416, 1), (1499, 1), (1685, 1), (1714, 1), (1999, 1), (2442, 2), (2660, 1), (2795, 1), (3242, 1), (3962, 1), (4297, 1), (4442, 1), (10686, 1), (11637, 1), (11638, 1), (11639, 1)], [(8, 1), (25, 1), (53, 1), (214, 1), (226, 1), (392, 1), (452, 1), (1165, 1), (1877, 1), (1999, 1), (2036, 1), (8973, 1), (11637, 1), (11640, 1)], [(20, 1), (40, 1), (71, 1), (72, 1), (96, 1), (99, 1), (109, 1), (111, 1), (359, 1), (601, 1), (792, 1), (809, 1), (1483, 1), (1714, 1), (1999, 1), (2666, 1), (2933, 1), (5031, 1), (10569, 1), (11637, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 4), (23, 2), (25, 1), (50, 2), (53, 1), (83, 1), (90, 2), (91, 1), (95, 1), (97, 2), (99, 1), (117, 1), (124, 1), (197, 1), (228, 1), (232, 1), (269, 3), (281, 1), (347, 3), (353, 1), (355, 1), (373, 1), (399, 1), (419, 1), (448, 1), (482, 1), (607, 1), (833, 1), (983, 1), (1129, 1), (1155, 1), (1248, 1), (1478, 1), (1488, 1), (1506, 1), (1597, 1), (1742, 1), (2145, 1), (3389, 1)], [(20, 1), (25, 1), (55, 1), (71, 1), (117, 1), (232, 1), (247, 1), (286, 1), (324, 1), (332, 1), (2877, 1), (3102, 1), (6506, 1), (7562, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (54, 1), (58, 1), (82, 1), (99, 1), (108, 1), (117, 1), (193, 1), (202, 1), (232, 1), (256, 1), (269, 1), (645, 1), (1021, 1), (1830, 1), (4159, 1), (6459, 1), (9159, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 2), (23, 3), (40, 1), (50, 5), (53, 2), (65, 1), (77, 1), (90, 2), (91, 1), (95, 1), (124, 1), (172, 3), (173, 1), (185, 1), (256, 1), (268, 1), (281, 2), (347, 1), (392, 1), (418, 1), (420, 3), (448, 2), (500, 1), (506, 1), (531, 1), (711, 1), (827, 1), (833, 1), (863, 1), (892, 1), (894, 1), (1259, 2), (1580, 2), (1628, 1), (2151, 2), (2629, 1), (2785, 1), (3804, 1), (4435, 1), (4619, 1), (5292, 1), (6159, 1), (6376, 1), (7274, 1), (7685, 1), (7696, 1), (8975, 1), (9927, 1), (11575, 1), (11641, 1), (11642, 1), (11643, 1), (11644, 1), (11645, 1)], [(8, 1), (23, 1), (50, 1), (53, 1), (71, 1), (226, 1), (229, 1), (281, 1), (301, 1), (581, 1), (855, 1), (1277, 1), (1287, 1), (1580, 1), (1971, 1), (3421, 1), (4082, 1), (11646, 1), (11647, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (24, 1), (25, 3), (31, 2), (53, 1), (55, 1), (58, 1), (77, 3), (96, 1), (124, 1), (185, 1), (215, 1), (392, 1), (448, 1), (658, 1), (709, 1), (756, 2), (829, 1), (1253, 2), (1269, 1), (1287, 1), (1538, 1), (1942, 1), (2018, 1), (2757, 1), (3181, 1), (4408, 1), (4416, 1), (5031, 1), (5858, 1), (6601, 1), (8051, 1), (10736, 1), (11648, 1)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 3), (54, 1), (359, 1), (392, 1), (709, 1), (1140, 1), (1155, 1), (1361, 1), (1444, 1), (1904, 1), (3528, 1), (8343, 1), (8621, 1), (11649, 1), (11650, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 1), (187, 1), (336, 1), (361, 1), (676, 1), (726, 1), (913, 1), (1159, 1), (1322, 1), (1339, 1), (2253, 1), (3352, 1), (6213, 1), (9172, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 1), (50, 1), (53, 4), (95, 1), (109, 2), (174, 1), (187, 1), (281, 1), (310, 1), (420, 1), (452, 1), (459, 1), (574, 1), (709, 1), (829, 1), (913, 1), (1037, 1), (1339, 1), (1414, 1), (1856, 1), (3726, 1), (7300, 1), (8336, 1), (11514, 1)], [(8, 1), (20, 2), (25, 1), (31, 2), (45, 1), (64, 2), (90, 1), (173, 1), (293, 1), (305, 1), (310, 1), (777, 1), (833, 1), (1159, 2), (1160, 1), (1197, 1), (1322, 1), (1415, 1), (1760, 1), (2831, 1), (3022, 1), (5566, 1), (6165, 1), (11651, 1)], [(8, 1), (18, 1), (50, 1), (182, 1), (217, 1), (225, 1), (605, 1), (1118, 1), (1159, 1), (3100, 1), (4275, 1)], [(8, 1), (20, 1), (31, 1), (50, 1), (53, 3), (405, 1), (450, 1), (913, 1), (1506, 1), (1596, 1), (3359, 1), (5089, 1), (11652, 1), (11653, 1)], [(8, 1), (20, 4), (22, 1), (25, 2), (30, 1), (31, 1), (45, 1), (50, 1), (53, 4), (54, 1), (58, 1), (108, 2), (124, 1), (173, 1), (193, 1), (225, 1), (256, 1), (281, 1), (365, 1), (482, 1), (605, 1), (709, 2), (776, 1), (812, 1), (1155, 1), (1269, 1), (1342, 1), (1373, 1), (1458, 1), (1510, 1), (1587, 1), (1904, 1), (2077, 1), (2228, 1), (2265, 1), (2344, 1), (2545, 1), (3041, 1), (4184, 1), (4517, 1), (4666, 1), (11264, 1), (11650, 1), (11654, 1), (11655, 1), (11656, 1)], [(8, 1), (18, 1), (50, 1), (77, 1), (185, 1), (361, 1), (1361, 1), (1904, 1), (2359, 1), (11650, 1), (11657, 1)], [(8, 1), (18, 1), (20, 1), (22, 3), (23, 3), (25, 2), (37, 1), (45, 2), (50, 4), (53, 5), (54, 1), (55, 1), (172, 3), (182, 1), (185, 1), (193, 1), (323, 1), (388, 1), (1194, 1), (1240, 1), (1342, 1), (1520, 1), (1572, 1), (1792, 1), (2648, 1), (2655, 1), (2664, 1), (2990, 1), (4297, 1), (4509, 1), (4670, 1), (8673, 1), (11623, 1), (11649, 1), (11658, 1)], [(7742, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 7), (22, 2), (24, 1), (25, 1), (31, 1), (45, 1), (50, 2), (53, 6), (54, 1), (58, 1), (64, 1), (90, 1), (91, 1), (97, 4), (108, 1), (109, 1), (117, 1), (173, 2), (193, 1), (198, 1), (214, 1), (232, 1), (256, 1), (281, 1), (353, 3), (392, 1), (407, 1), (418, 2), (434, 1), (450, 1), (459, 2), (506, 1), (687, 1), (709, 1), (827, 1), (903, 1), (1194, 1), (1256, 1), (1485, 1), (1685, 1), (2005, 1), (2036, 1), (2224, 1), (2479, 1), (2666, 1), (2990, 1), (3114, 1), (3227, 1), (3572, 1), (3576, 1), (3726, 1), (3737, 1), (4616, 1), (5825, 1), (6036, 1), (6436, 1), (6501, 1), (7124, 1), (7195, 1), (7208, 1), (7742, 1), (8234, 1), (9975, 1), (11659, 1), (11660, 1), (11661, 1), (11662, 1), (11663, 1)], [(8, 1), (20, 1), (25, 2), (54, 1), (215, 1), (407, 1), (744, 1), (3000, 1), (5065, 1), (8293, 1), (11241, 1), (11664, 1), (11665, 1)], [(20, 2), (25, 1), (31, 1), (36, 1), (45, 1), (50, 1), (53, 1), (55, 1), (66, 1), (97, 2), (108, 1), (109, 1), (215, 1), (307, 1), (347, 2), (419, 2), (426, 1), (450, 1), (504, 1), (1248, 1), (1339, 1), (1414, 1), (1477, 1), (1731, 1), (2731, 1), (3014, 1), (6605, 1), (10561, 1), (11666, 1)], [(10, 1), (19, 1), (20, 7), (23, 2), (25, 1), (31, 2), (32, 1), (37, 2), (50, 3), (53, 4), (64, 1), (66, 1), (71, 1), (90, 1), (95, 1), (97, 1), (193, 1), (228, 1), (229, 1), (242, 1), (261, 1), (307, 1), (329, 1), (392, 1), (414, 1), (506, 1), (771, 1), (782, 1), (1072, 1), (1342, 1), (1580, 3), (1594, 1), (1596, 1), (2028, 1), (2120, 1), (2141, 1), (2359, 1), (2985, 1), (3218, 1), (3600, 1), (3697, 1), (3762, 1), (4698, 1), (5298, 1), (5957, 2), (6054, 1), (6145, 1), (9067, 1), (10579, 1)], [(8, 1), (18, 1), (20, 2), (45, 1), (50, 1), (53, 1), (69, 1), (161, 1), (214, 1), (325, 1), (337, 1), (373, 1), (420, 1), (430, 1), (448, 1), (531, 1), (569, 1), (709, 1), (1224, 1), (1342, 1), (1811, 1), (2401, 1), (3557, 1), (3987, 1), (7681, 1), (11667, 1), (11668, 1)], [(7, 1), (18, 1), (19, 1), (20, 6), (22, 2), (24, 1), (25, 2), (37, 1), (50, 2), (53, 3), (55, 1), (64, 1), (66, 1), (101, 1), (111, 1), (117, 1), (186, 1), (232, 1), (236, 1), (281, 1), (353, 1), (361, 1), (415, 1), (439, 2), (448, 1), (459, 1), (479, 1), (486, 1), (522, 1), (527, 1), (540, 1), (583, 1), (827, 1), (903, 1), (966, 1), (1041, 1), (1416, 1), (1458, 1), (1474, 1), (1580, 1), (1695, 1), (2276, 1), (2277, 1), (2603, 1), (3524, 1), (3744, 1), (3987, 1), (4117, 1), (4184, 1), (4385, 1), (4652, 1), (4908, 1), (5236, 1), (5533, 1), (6725, 1), (6794, 1), (6981, 1), (7365, 1), (11669, 1), (11670, 1), (11671, 1), (11672, 1), (11673, 1)], [(8, 1), (21, 1), (50, 1), (64, 1), (66, 1), (173, 1), (359, 1), (439, 2), (522, 1), (540, 1), (1932, 1), (2184, 1), (2265, 1), (11549, 1), (11674, 1), (11675, 1), (11676, 1), (11677, 1), (11678, 1), (11679, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 4), (23, 2), (24, 1), (25, 1), (31, 1), (32, 1), (50, 2), (53, 4), (54, 1), (58, 1), (95, 1), (109, 1), (160, 1), (172, 2), (185, 1), (194, 1), (256, 1), (392, 1), (441, 1), (482, 1), (708, 1), (709, 1), (812, 1), (897, 1), (1102, 1), (1140, 1), (1361, 1), (1381, 1), (1486, 1), (2030, 1), (3403, 1), (3417, 1), (5910, 1), (7395, 1), (8178, 1), (8966, 1), (11446, 1), (11575, 1), (11623, 1), (11680, 1), (11681, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (31, 1), (50, 4), (53, 2), (55, 1), (65, 2), (71, 1), (111, 1), (392, 1), (414, 1), (531, 1), (609, 1), (709, 1), (757, 1), (763, 1), (897, 1), (1157, 1), (1357, 1), (1361, 1), (1363, 1), (1517, 1), (1905, 1), (2015, 1), (2096, 1), (2264, 1), (4250, 1), (5257, 1), (5729, 1), (5851, 1), (6091, 1), (6566, 1), (7309, 1), (8183, 1), (9235, 1), (11682, 1), (11683, 1), (11684, 1), (11685, 1), (11686, 1)], [(7, 1), (8, 1), (19, 2), (20, 1), (53, 3), (54, 1), (71, 1), (91, 1), (187, 1), (237, 1), (281, 1), (1574, 1), (1905, 1), (2242, 1), (4296, 1), (5712, 1), (8229, 1), (8686, 1), (9866, 1), (11687, 1), (11688, 1), (11689, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (36, 1), (45, 1), (50, 1), (65, 2), (90, 1), (95, 1), (108, 1), (161, 1), (166, 1), (215, 2), (289, 1), (293, 2), (1159, 1), (2264, 1), (3237, 1), (5801, 1), (5851, 1), (6268, 1), (8975, 1), (9334, 1), (11690, 1), (11691, 1), (11692, 1)], [(8, 1), (22, 1), (77, 1), (124, 1), (256, 1), (309, 1), (328, 1), (548, 1), (2178, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (108, 1), (185, 1), (337, 1), (752, 1), (753, 1), (757, 1), (1905, 1), (2239, 1), (3754, 1), (4489, 1), (11693, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (30, 1), (53, 1), (54, 1), (55, 1), (90, 1), (95, 1), (117, 1), (173, 1), (301, 1), (414, 1), (697, 1), (1520, 1), (2245, 1), (3204, 1), (3247, 1), (3866, 1), (6034, 1), (6213, 1), (8913, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 1), (37, 1), (45, 1), (53, 2), (55, 1), (90, 1), (108, 1), (117, 1), (173, 1), (232, 1), (310, 1), (353, 1), (658, 1), (744, 1), (986, 1), (1720, 1), (1764, 1), (1905, 1), (2239, 1), (2245, 1), (2272, 1), (3230, 1), (6060, 1), (7341, 1), (11694, 1), (11695, 1), (11696, 1)], [(8, 1), (20, 1), (23, 2), (53, 1), (55, 1), (82, 1), (90, 1), (95, 1), (117, 1), (215, 1), (232, 1), (242, 1), (256, 1), (1905, 1), (5528, 1), (10660, 1), (11697, 1), (11698, 1)], [(7, 1), (18, 1), (50, 1), (82, 1), (109, 1), (1714, 1), (3417, 1), (5768, 1), (6919, 1), (8570, 1), (11699, 1), (11700, 1), (11701, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (95, 1), (99, 1), (190, 1), (268, 1), (800, 1), (2145, 1), (6213, 1), (6856, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (23, 1), (31, 1), (32, 1), (53, 1), (99, 1), (108, 1), (117, 1), (190, 1), (232, 1), (884, 1), (1281, 1), (1287, 1), (2493, 1), (3678, 1), (7637, 1), (11115, 1), (11375, 1), (11702, 1), (11703, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 4), (54, 1), (99, 1), (117, 1), (203, 1), (232, 1), (697, 1), (2240, 1), (3034, 1), (3363, 1), (4296, 1), (6182, 1), (7622, 1), (9239, 1), (9638, 1), (11702, 1), (11704, 1), (11705, 1), (11706, 1)], [(45, 1), (392, 1), (1820, 1), (1904, 1), (3882, 1), (4627, 1), (11702, 1), (11707, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (31, 1), (50, 1), (53, 3), (54, 1), (64, 1), (84, 2), (85, 1), (361, 1), (365, 1), (414, 1), (419, 1), (430, 1), (459, 1), (639, 1), (697, 1), (709, 1), (752, 1), (1053, 1), (2855, 1), (3134, 1), (11708, 1), (11709, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (25, 1), (54, 1), (84, 1), (90, 1), (256, 1), (293, 1), (300, 1), (414, 1), (419, 1), (452, 1), (459, 1), (2241, 1), (2275, 1), (2515, 1), (2967, 1), (5589, 1), (6547, 1), (11517, 1), (11710, 1)], [(8, 1), (18, 1), (22, 1), (53, 2), (54, 1), (58, 1), (82, 1), (90, 1), (109, 1), (186, 1), (286, 1), (347, 1), (412, 1), (419, 1), (448, 1), (452, 1), (754, 1), (884, 1), (1057, 1), (1585, 1), (3590, 1), (5968, 1), (11711, 1), (11712, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (26, 1), (30, 2), (31, 1), (50, 2), (53, 6), (54, 5), (58, 1), (69, 2), (82, 1), (90, 1), (95, 1), (97, 2), (161, 1), (193, 1), (256, 1), (263, 1), (269, 1), (281, 1), (293, 1), (305, 1), (414, 1), (420, 1), (680, 1), (709, 2), (752, 1), (829, 1), (833, 1), (907, 1), (921, 1), (1041, 1), (1057, 1), (1363, 1), (1392, 1), (1395, 1), (1416, 1), (1475, 1), (2324, 1), (6353, 1), (6367, 1), (8192, 1), (8923, 1)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 3), (85, 1), (185, 1), (186, 1), (193, 1), (202, 1), (215, 1), (407, 1), (459, 1), (626, 1), (680, 1), (704, 1), (709, 1), (725, 1), (751, 1), (1041, 1), (1150, 1), (1248, 1), (1820, 1), (2658, 1), (3024, 1), (3804, 1), (4012, 1), (8059, 1)], [(8, 1), (20, 3), (22, 1), (24, 1), (25, 2), (37, 1), (50, 1), (53, 4), (55, 1), (90, 1), (185, 1), (253, 1), (281, 2), (323, 1), (347, 1), (381, 1), (419, 3), (448, 1), (459, 1), (708, 1), (726, 1), (765, 1), (895, 1), (1415, 1), (1477, 1), (1529, 1), (2064, 1), (3572, 1), (3590, 1), (4199, 1), (4291, 1), (4439, 1), (5013, 1), (5921, 1), (6364, 1), (6623, 1), (11713, 1), (11714, 1)], [(19, 2), (20, 1), (53, 3), (58, 1), (66, 1), (82, 1), (90, 1), (109, 1), (111, 1), (117, 1), (123, 1), (161, 1), (256, 1), (347, 2), (419, 1), (452, 1), (467, 1), (488, 1), (490, 1), (529, 1), (894, 1), (1277, 1), (1904, 1), (3475, 1), (3737, 1), (4018, 1), (5509, 1), (11695, 1), (11715, 1), (11716, 1), (11717, 1), (11718, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (31, 2), (50, 2), (53, 3), (65, 1), (77, 1), (117, 1), (174, 1), (185, 1), (215, 2), (226, 1), (323, 1), (337, 1), (346, 1), (361, 1), (365, 1), (467, 1), (505, 1), (707, 1), (709, 1), (1325, 1), (1904, 1), (1999, 1), (3830, 1), (4145, 1), (5899, 1), (7243, 1), (7309, 1), (7641, 1), (8107, 1), (11715, 1), (11719, 1), (11720, 1), (11721, 1)], [(8, 1), (18, 1), (23, 1), (45, 1), (50, 2), (53, 1), (172, 1), (827, 1), (1973, 1), (11722, 1)], [(8, 1), (23, 1), (30, 1), (31, 1), (172, 1), (185, 1), (1043, 1), (1974, 1), (3330, 1), (11110, 1), (11702, 1)], [(8, 1), (36, 1), (98, 1), (197, 1), (11723, 1)], [(7, 2), (8, 1), (18, 2), (20, 3), (24, 1), (25, 1), (31, 1), (53, 2), (54, 1), (97, 1), (109, 1), (173, 1), (201, 1), (268, 1), (269, 1), (337, 1), (392, 1), (414, 1), (488, 1), (709, 1), (791, 1), (829, 1), (1146, 1), (1324, 1), (1580, 1), (1587, 1), (2228, 1), (2239, 1), (4465, 1), (5454, 1), (11706, 1), (11724, 1), (11725, 1), (11726, 1)], [(8, 1), (18, 2), (20, 6), (21, 2), (23, 2), (25, 1), (50, 4), (51, 2), (53, 1), (58, 1), (65, 1), (71, 1), (90, 3), (108, 1), (109, 1), (117, 1), (164, 1), (186, 1), (212, 1), (226, 1), (232, 1), (263, 1), (269, 1), (278, 1), (293, 2), (310, 2), (359, 1), (504, 1), (516, 1), (744, 1), (753, 1), (884, 1), (894, 1), (1072, 1), (1196, 1), (1488, 1), (1731, 1), (1850, 1), (2571, 1), (3414, 1), (3418, 1), (6661, 1), (8975, 1), (9211, 1), (9881, 1), (11702, 1), (11727, 1), (11728, 1), (11729, 1), (11730, 1), (11731, 1), (11732, 1), (11733, 1)], [(8, 1), (19, 1), (20, 2), (45, 1), (53, 1), (54, 1), (58, 1), (64, 1), (173, 1), (215, 1), (414, 1), (620, 1), (675, 1), (697, 1), (1163, 1), (4799, 1), (8650, 1), (11728, 1), (11734, 1), (11735, 1), (11736, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 2), (50, 1), (53, 2), (64, 2), (84, 3), (90, 1), (96, 1), (97, 1), (108, 1), (109, 1), (111, 1), (117, 1), (166, 1), (173, 1), (197, 1), (256, 1), (269, 2), (342, 1), (359, 1), (404, 1), (410, 2), (419, 1), (420, 1), (457, 1), (459, 2), (600, 1), (697, 1), (709, 1), (711, 2), (744, 1), (828, 1), (983, 1), (985, 1), (1139, 1), (1163, 1), (1734, 1), (1750, 1), (2140, 1), (2145, 1), (2490, 1), (2911, 1), (2926, 1), (3026, 1), (3331, 1), (3402, 1), (3670, 1), (3737, 1), (4130, 1), (5744, 1), (11737, 1), (11738, 1)], [(8, 1), (18, 2), (20, 6), (22, 1), (25, 2), (53, 4), (54, 2), (58, 1), (90, 1), (108, 1), (256, 2), (268, 1), (293, 1), (305, 1), (331, 1), (347, 1), (419, 2), (420, 1), (709, 1), (777, 1), (884, 1), (894, 1), (895, 1), (1304, 1), (1477, 1), (2295, 1), (2354, 1), (2785, 1), (3129, 1), (3594, 1), (3737, 1), (3873, 1), (4473, 1), (5054, 1), (11739, 1)], [(8624, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (31, 1), (50, 3), (53, 3), (85, 1), (353, 1), (450, 2), (459, 1), (600, 1), (3726, 1), (3737, 1), (5753, 1), (10488, 1), (11740, 1), (11741, 1), (11742, 1), (11743, 1)], [(18, 1), (20, 2), (45, 2), (50, 1), (54, 1), (55, 1), (85, 1), (323, 1), (414, 1), (706, 1), (976, 1), (1178, 1), (1904, 1), (2324, 1), (4729, 1), (6612, 1), (11744, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 3), (25, 1), (53, 3), (90, 2), (334, 2), (378, 1), (405, 1), (410, 1), (414, 1), (531, 1), (675, 1), (792, 1), (897, 1), (1342, 1), (1685, 1), (2543, 1), (3171, 1), (3289, 1), (3737, 1), (7643, 1), (10579, 1), (11728, 1), (11745, 2), (11746, 1), (11747, 1), (11748, 1), (11749, 1)], [(7, 1), (8, 1), (20, 2), (23, 1), (31, 1), (37, 1), (50, 2), (53, 4), (54, 1), (82, 1), (90, 1), (95, 1), (109, 1), (289, 1), (301, 1), (337, 1), (504, 1), (531, 1), (743, 1), (1071, 1), (2202, 1), (2283, 1), (2361, 1), (2926, 1), (3160, 1), (3737, 1), (4304, 1), (4500, 1), (6165, 1), (8921, 1), (11750, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (46, 1), (50, 2), (53, 2), (55, 1), (95, 1), (111, 1), (124, 1), (193, 1), (269, 1), (334, 1), (506, 1), (601, 1), (697, 1), (741, 1), (2265, 1), (2744, 1), (3726, 1), (3916, 1), (4619, 1), (6213, 1), (11234, 1)], [(8, 1), (19, 3), (20, 4), (25, 1), (30, 1), (37, 1), (46, 1), (53, 3), (82, 1), (109, 1), (124, 1), (173, 1), (174, 1), (193, 1), (217, 1), (225, 1), (256, 1), (269, 1), (355, 1), (359, 1), (450, 1), (626, 1), (709, 1), (833, 1), (913, 1), (1041, 1), (1308, 1), (1392, 1), (1995, 1), (2007, 1), (2253, 1), (2719, 1), (7918, 1), (8634, 1), (11751, 1), (11752, 1)], [(8, 1), (18, 5), (19, 2), (20, 7), (22, 2), (24, 1), (25, 2), (31, 1), (45, 1), (53, 4), (55, 1), (90, 2), (92, 1), (95, 2), (108, 1), (172, 2), (215, 2), (217, 2), (273, 1), (328, 2), (334, 1), (414, 1), (446, 1), (498, 1), (506, 1), (580, 1), (581, 1), (680, 1), (706, 1), (708, 1), (709, 2), (898, 1), (1139, 1), (1159, 1), (1235, 1), (1884, 1), (2145, 1), (2615, 1), (3480, 1), (5712, 1), (5749, 1), (6165, 1), (6213, 1), (8998, 1), (9239, 1), (11234, 1), (11753, 1), (11754, 1), (11755, 1), (11756, 1)], [(8, 1), (19, 2), (20, 10), (22, 1), (25, 1), (31, 1), (45, 3), (50, 2), (53, 1), (55, 2), (58, 3), (77, 3), (82, 1), (90, 3), (95, 1), (108, 1), (173, 2), (190, 1), (215, 1), (281, 1), (293, 1), (382, 1), (430, 1), (448, 1), (452, 1), (504, 1), (654, 1), (764, 1), (776, 1), (827, 1), (897, 1), (915, 1), (1133, 1), (1342, 1), (1477, 1), (1567, 1), (1847, 1), (1911, 1), (2028, 1), (3022, 1), (3168, 1), (3726, 1), (3756, 2), (3808, 1), (4671, 1), (4846, 1), (6099, 1), (6213, 1), (6386, 1), (7837, 1), (10582, 1), (10685, 1), (11314, 1), (11459, 1), (11757, 1), (11758, 1), (11759, 1), (11760, 1), (11761, 1)], [(7, 2), (8, 1), (10, 1), (11, 1), (18, 2), (19, 1), (20, 3), (21, 1), (22, 2), (23, 1), (25, 2), (31, 1), (34, 1), (37, 1), (50, 2), (53, 5), (55, 2), (71, 1), (77, 2), (82, 2), (90, 3), (97, 1), (99, 1), (108, 1), (124, 1), (164, 1), (175, 1), (185, 1), (190, 1), (203, 1), (206, 1), (214, 1), (256, 1), (269, 2), (273, 1), (293, 1), (301, 1), (328, 1), (361, 1), (407, 2), (419, 1), (516, 1), (527, 1), (861, 1), (1308, 2), (1342, 1), (1467, 1), (1487, 1), (1723, 1), (2053, 1), (2160, 2), (2655, 1), (3426, 1), (3572, 1), (3740, 1), (4296, 1), (4366, 1), (7536, 1), (7605, 1), (9978, 1), (11762, 1), (11763, 1), (11764, 1), (11765, 1), (11766, 1), (11767, 1), (11768, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (359, 1), (412, 1), (420, 1), (1164, 2), (1909, 1), (5524, 1), (6182, 1), (9437, 1), (11493, 1), (11769, 1), (11770, 1), (11771, 1), (11772, 1), (11773, 1)], [(8, 1), (18, 1), (20, 2), (45, 1), (50, 2), (53, 1), (173, 1), (197, 1), (209, 1), (228, 1), (229, 1), (451, 1), (608, 1), (697, 1), (2744, 1), (3034, 1), (4435, 1), (6367, 1), (7696, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (37, 1), (53, 2), (71, 1), (82, 1), (111, 1), (173, 1), (193, 1), (217, 1), (225, 1), (269, 1), (407, 1), (418, 1), (448, 1), (454, 1), (639, 1), (1196, 1), (2029, 1), (2367, 1), (3294, 1), (4059, 1), (5409, 1), (8620, 1), (8966, 1), (9652, 1), (11774, 1), (11775, 1), (11776, 1)], [(8, 1), (18, 2), (20, 6), (31, 3), (45, 2), (50, 4), (53, 2), (54, 1), (65, 1), (90, 1), (108, 1), (111, 1), (124, 1), (185, 1), (193, 2), (334, 1), (337, 1), (346, 1), (365, 1), (381, 1), (395, 1), (457, 1), (609, 1), (833, 1), (834, 1), (1257, 1), (1498, 1), (1522, 1), (3557, 1), (4435, 1), (4652, 1), (5368, 1), (5833, 1), (6197, 1), (7157, 1), (8104, 1), (11493, 1), (11771, 1), (11777, 1), (11778, 1), (11779, 1), (11780, 1)], [(8, 1), (31, 1), (71, 1), (126, 1), (310, 1), (753, 1), (1072, 1), (1820, 1), (2666, 1), (2893, 1), (4435, 1), (10691, 1), (11781, 1)], [(8, 1), (58, 1), (71, 1), (77, 1), (161, 1), (328, 1), (743, 1), (2197, 1), (3043, 1)], [(8, 1), (20, 1), (54, 1), (65, 1), (77, 1), (82, 1), (96, 1), (185, 1), (365, 1), (381, 1), (1311, 1), (3319, 1), (3661, 1), (4059, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (23, 1), (25, 1), (95, 2), (108, 1), (172, 1), (173, 2), (203, 1), (215, 3), (217, 1), (240, 1), (242, 1), (301, 1), (342, 1), (355, 1), (415, 1), (1257, 1), (5592, 1), (6097, 1), (6213, 1), (6342, 1)], [(8, 1), (23, 1), (99, 1), (190, 1), (331, 1), (2145, 1), (2149, 1)], [(8, 1), (18, 1), (23, 1), (25, 1), (31, 1), (53, 3), (55, 1), (58, 1), (90, 1), (95, 1), (174, 1), (217, 1), (221, 1), (286, 1), (338, 1), (347, 1), (1342, 1), (2029, 1), (3041, 1), (4041, 1), (4652, 1), (6213, 1), (11782, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (31, 1), (32, 1), (45, 1), (50, 1), (53, 1), (71, 1), (82, 1), (90, 1), (108, 1), (214, 1), (242, 1), (487, 1), (518, 1), (526, 1), (581, 1), (812, 1), (834, 1), (1499, 1), (2184, 1), (3457, 1), (4296, 1), (8933, 1), (11783, 1), (11784, 1), (11785, 1)], [(8, 1), (19, 1), (20, 1), (31, 2), (50, 2), (53, 3), (90, 1), (95, 1), (172, 2), (217, 1), (301, 1), (328, 1), (506, 1), (620, 1), (2362, 1), (2744, 1), (2772, 1), (4041, 1), (5234, 1), (5982, 1), (6213, 1), (6402, 1), (8922, 1), (11786, 1)], [(8, 1), (18, 2), (20, 3), (23, 1), (50, 2), (53, 3), (90, 1), (95, 1), (242, 1), (414, 2), (772, 1), (791, 1), (894, 1), (1905, 1), (2178, 1), (4560, 1), (5435, 1), (5844, 1), (6213, 1), (9251, 1), (11744, 1), (11787, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (50, 2), (53, 4), (85, 1), (92, 1), (95, 1), (166, 1), (215, 1), (346, 1), (428, 1), (488, 1), (922, 1), (4041, 1), (4674, 1), (4778, 1), (5851, 1), (6213, 1), (8241, 1), (11778, 1), (11788, 1), (11789, 1), (11790, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (50, 2), (53, 3), (71, 1), (72, 1), (77, 1), (90, 1), (95, 1), (215, 2), (359, 1), (581, 1), (894, 1), (970, 1), (1348, 1), (1393, 1), (3056, 1), (4402, 1), (5028, 1), (11778, 1), (11791, 1), (11792, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (21, 2), (23, 1), (50, 3), (53, 4), (65, 1), (74, 1), (90, 3), (95, 1), (111, 1), (172, 2), (193, 2), (197, 1), (217, 1), (256, 1), (268, 1), (301, 1), (365, 1), (670, 1), (813, 1), (829, 1), (880, 1), (894, 1), (1041, 1), (1877, 1), (2048, 1), (2197, 1), (2795, 1), (4465, 1), (4695, 1), (6026, 1), (6213, 1), (8923, 1), (11793, 1), (11794, 1)], [(8, 1), (18, 4), (19, 1), (20, 8), (25, 1), (31, 1), (37, 2), (50, 1), (53, 1), (65, 1), (90, 2), (91, 1), (95, 1), (99, 2), (108, 1), (117, 1), (172, 1), (190, 1), (203, 1), (205, 1), (206, 1), (217, 1), (232, 1), (281, 1), (329, 1), (355, 1), (365, 1), (381, 1), (869, 1), (897, 1), (1197, 1), (1350, 1), (1430, 1), (2140, 1), (2183, 1), (2197, 1), (2693, 1), (3323, 1), (4889, 1), (6182, 1), (6213, 1), (6436, 1), (6808, 1), (9437, 1), (9980, 1), (11771, 1), (11795, 1)], [(1544, 1), (11796, 1)], [(8, 1), (11797, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (18, 1), (19, 4), (20, 3), (22, 2), (25, 2), (31, 2), (37, 2), (40, 1), (45, 2), (50, 3), (53, 4), (54, 1), (55, 1), (58, 1), (90, 2), (117, 1), (172, 1), (173, 2), (174, 1), (217, 1), (232, 1), (239, 1), (253, 1), (269, 1), (278, 1), (347, 1), (723, 1), (830, 1), (903, 1), (999, 1), (1102, 1), (1237, 1), (1348, 1), (1488, 1), (1686, 1), (1781, 1), (1916, 1), (2117, 1), (2196, 1), (2474, 1), (2548, 1), (2855, 1), (3132, 1), (3191, 1), (3223, 1), (3413, 1), (3425, 1), (3831, 1), (6315, 1), (8685, 1), (10978, 1), (11506, 1), (11798, 1), (11799, 1), (11800, 1), (11801, 1)], [(8, 1), (20, 1), (30, 1), (55, 1), (82, 1), (124, 1), (185, 1), (193, 1), (202, 1), (289, 1), (328, 1), (415, 1), (459, 2), (504, 1), (1836, 1), (2136, 1), (3255, 1), (8086, 1), (11802, 1)], [(7, 1), (8, 1), (19, 3), (20, 4), (25, 1), (31, 1), (37, 1), (45, 2), (53, 5), (71, 2), (90, 3), (95, 1), (122, 1), (124, 2), (172, 1), (173, 3), (187, 1), (260, 1), (269, 1), (278, 1), (285, 2), (289, 2), (293, 1), (413, 1), (433, 1), (448, 1), (601, 1), (756, 1), (1129, 1), (1392, 1), (1499, 1), (1553, 1), (1642, 1), (1733, 1), (2049, 1), (3835, 1), (4455, 1), (5434, 1), (6213, 1), (7442, 1), (9455, 1), (10233, 1), (10515, 1), (10761, 1), (10785, 1), (11803, 1), (11804, 1), (11805, 1), (11806, 1)], [(7, 1), (8, 1), (20, 3), (30, 1), (45, 1), (50, 2), (53, 1), (55, 1), (71, 1), (82, 1), (97, 1), (268, 1), (293, 1), (301, 1), (328, 1), (459, 2), (504, 1), (531, 1), (744, 1), (1102, 1), (1702, 1), (1824, 1), (2785, 1), (3191, 1), (4465, 1), (6436, 1), (9696, 1), (10872, 1), (10922, 1), (11425, 1), (11807, 1), (11808, 1), (11809, 1), (11810, 1), (11811, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 3), (53, 2), (85, 1), (203, 1), (214, 1), (407, 1), (553, 1), (600, 1), (902, 1), (1449, 1), (1615, 1), (2839, 1), (4401, 1), (4965, 1), (5788, 1), (6315, 1), (11812, 1), (11813, 1), (11814, 2)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (31, 2), (36, 1), (45, 1), (50, 1), (53, 3), (54, 1), (82, 1), (90, 2), (108, 2), (124, 1), (161, 1), (175, 1), (201, 1), (256, 1), (448, 1), (645, 1), (777, 1), (792, 1), (800, 1), (813, 1), (833, 1), (1644, 1), (1748, 1), (1824, 1), (3047, 1), (3213, 1), (4404, 2), (4556, 1), (7286, 1), (8158, 2), (8975, 1), (9307, 2), (9309, 1), (10965, 1), (11198, 1), (11815, 2), (11816, 1), (11817, 1)], [(8, 1), (20, 6), (22, 1), (25, 2), (26, 1), (27, 1), (31, 1), (37, 1), (45, 3), (53, 1), (58, 2), (90, 1), (108, 1), (109, 1), (111, 1), (117, 5), (166, 1), (173, 2), (174, 1), (185, 1), (190, 1), (193, 1), (215, 1), (232, 5), (260, 1), (285, 1), (293, 1), (459, 1), (1325, 1), (1377, 1), (1572, 1), (1628, 1), (1644, 1), (1702, 1), (1792, 1), (2466, 1), (6315, 2), (7286, 3), (8117, 1), (10767, 1), (11818, 1), (11819, 1), (11820, 1), (11821, 1), (11822, 1)], [(8, 1), (18, 1), (53, 1), (54, 1), (71, 1), (90, 1), (122, 1), (174, 1), (182, 1), (285, 1), (601, 1), (756, 1), (2270, 1), (3114, 1), (3699, 1), (10515, 1)], [(8, 1), (19, 2), (20, 3), (30, 1), (40, 1), (45, 1), (50, 1), (71, 1), (90, 1), (117, 1), (174, 1), (232, 1), (281, 1), (285, 1), (305, 1), (428, 1), (430, 1), (443, 1), (448, 1), (459, 1), (966, 1), (1325, 1), (1822, 1), (1988, 1), (2087, 1), (3114, 1), (4977, 1), (7192, 1), (7286, 1), (9718, 1), (10025, 1), (11813, 1), (11823, 1), (11824, 1), (11825, 1)], [(1, 2), (4, 2), (7, 1), (8, 1), (10, 1), (19, 1), (20, 4), (22, 1), (25, 2), (31, 3), (45, 2), (50, 4), (53, 6), (54, 1), (58, 1), (71, 2), (77, 1), (90, 5), (97, 1), (108, 2), (117, 1), (124, 1), (172, 1), (174, 1), (203, 2), (232, 1), (256, 1), (263, 1), (305, 1), (342, 1), (420, 1), (428, 1), (448, 2), (450, 1), (487, 1), (600, 2), (697, 1), (711, 1), (743, 1), (833, 2), (1118, 1), (1224, 1), (1242, 1), (1308, 1), (1488, 1), (1520, 1), (1780, 1), (1975, 1), (2296, 1), (2466, 1), (2847, 1), (4296, 1), (5310, 1), (5754, 1), (5783, 1), (6301, 1), (6315, 1), (6332, 1), (6423, 1), (6818, 1), (7399, 1), (7415, 1), (7854, 1), (7883, 1), (8219, 1), (9474, 1), (10584, 1), (11159, 1), (11645, 1), (11826, 1), (11827, 1), (11828, 1), (11829, 1), (11830, 1), (11831, 1), (11832, 1), (11833, 1), (11834, 1), (11835, 1), (11836, 1)], [(8, 1), (20, 3), (21, 2), (22, 1), (25, 8), (31, 3), (37, 3), (45, 1), (50, 3), (53, 6), (58, 1), (77, 1), (90, 1), (91, 1), (108, 2), (111, 1), (124, 1), (161, 1), (201, 2), (214, 1), (286, 1), (347, 1), (420, 1), (487, 1), (505, 1), (711, 2), (743, 1), (767, 1), (1041, 1), (1160, 1), (1449, 1), (1479, 1), (1506, 1), (1509, 1), (1824, 1), (1867, 1), (2076, 1), (2172, 1), (2667, 1), (2712, 1), (2862, 1), (2967, 1), (3191, 1), (3476, 1), (3731, 1), (5484, 1), (5496, 1), (6020, 1), (6239, 1), (6309, 1), (6913, 1), (8117, 1), (8154, 1), (9030, 1), (11313, 1), (11801, 1), (11837, 1), (11838, 1), (11839, 1), (11840, 1), (11841, 1), (11842, 1), (11843, 1), (11844, 1), (11845, 1), (11846, 1)], [(8, 1), (50, 1), (54, 1), (387, 1), (2265, 1), (3043, 1), (6315, 1), (9886, 1)], [(8, 1), (22, 1), (37, 1), (50, 1), (214, 1), (256, 1), (276, 1), (359, 1), (744, 1), (2744, 2), (4360, 1), (5142, 1), (5724, 1), (10081, 1), (10922, 1), (11847, 1)], [(8, 1), (20, 2), (24, 1), (50, 1), (53, 1), (77, 1), (236, 1), (645, 1), (4121, 1), (4874, 1), (6315, 1), (9085, 1), (11848, 1), (11849, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 1), (20, 5), (25, 1), (31, 1), (50, 2), (53, 3), (58, 1), (65, 1), (90, 1), (91, 1), (108, 2), (124, 1), (172, 1), (185, 1), (203, 1), (260, 1), (313, 1), (441, 1), (450, 2), (526, 1), (691, 1), (711, 2), (756, 1), (1122, 1), (1161, 1), (1506, 1), (1529, 1), (1580, 1), (1702, 1), (2253, 1), (2440, 1), (2712, 1), (4491, 1), (6021, 1), (6026, 1), (6558, 1), (9348, 1), (10515, 1), (11850, 1), (11851, 1), (11852, 1), (11853, 1), (11854, 1), (11855, 1), (11856, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (25, 2), (50, 2), (51, 1), (53, 2), (82, 1), (108, 1), (177, 1), (260, 1), (286, 1), (405, 1), (415, 1), (418, 1), (450, 1), (459, 1), (654, 1), (697, 1), (1012, 1), (1240, 1), (1403, 1), (1723, 1), (1868, 1), (2744, 1), (3400, 1), (3500, 1), (4488, 1), (6463, 1), (6646, 1), (8580, 1), (11857, 1), (11858, 1), (11859, 1), (11860, 1), (11861, 1), (11862, 1)], [(8, 1), (19, 1), (20, 1), (21, 1), (25, 2), (31, 1), (90, 1), (109, 1), (172, 1), (217, 1), (228, 1), (269, 1), (278, 1), (285, 1), (450, 1), (711, 1), (1066, 1), (1449, 2), (1789, 2), (2406, 1), (2667, 2), (2978, 1), (11425, 1), (11863, 1)], [(8, 1), (20, 3), (21, 1), (23, 1), (37, 1), (50, 2), (82, 1), (190, 1), (206, 1), (236, 1), (600, 1), (3664, 1), (4390, 1), (6315, 1), (11467, 1), (11864, 2)], [(7, 1), (8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (31, 1), (32, 1), (37, 1), (50, 1), (58, 1), (91, 2), (185, 2), (193, 1), (256, 1), (268, 1), (285, 1), (287, 1), (448, 1), (498, 1), (530, 1), (776, 1), (830, 1), (897, 1), (922, 2), (1627, 1), (3752, 1), (4712, 1), (6315, 1), (8713, 1), (11864, 3), (11865, 1), (11866, 1), (11867, 1), (11868, 1)], [(8, 1), (19, 1), (54, 1), (124, 1), (328, 1), (1702, 1), (1836, 1), (2233, 1), (2265, 1), (3043, 1), (6315, 1), (8054, 1), (10856, 1), (11869, 1)], [(8, 1), (19, 3), (20, 10), (22, 1), (25, 5), (30, 2), (31, 1), (32, 1), (37, 1), (45, 1), (50, 2), (53, 4), (54, 1), (55, 1), (58, 1), (77, 1), (90, 2), (109, 1), (117, 1), (166, 1), (173, 1), (232, 1), (256, 1), (260, 1), (293, 2), (347, 1), (430, 1), (504, 1), (850, 1), (1274, 1), (1277, 1), (1377, 1), (1448, 1), (1464, 1), (1488, 1), (1499, 1), (1506, 1), (1623, 1), (1893, 1), (2196, 1), (2230, 1), (2479, 1), (2772, 1), (2862, 1), (2983, 1), (3035, 1), (4183, 1), (4666, 1), (6129, 1), (6315, 1), (6695, 1), (7761, 1), (8475, 1), (8694, 1), (9289, 1), (10786, 1), (11870, 1), (11871, 1), (11872, 1), (11873, 1), (11874, 1), (11875, 1), (11876, 1), (11877, 1), (11878, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 3), (53, 2), (172, 1), (203, 1), (217, 1), (260, 1), (407, 1), (744, 1), (1377, 1), (1450, 1), (2280, 1), (3416, 1), (4488, 1), (4549, 1), (5054, 1), (5583, 1), (6315, 1), (6901, 1), (8694, 1), (11746, 1), (11879, 1), (11880, 1), (11881, 1), (11882, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 2), (25, 2), (27, 1), (29, 1), (31, 1), (45, 2), (54, 1), (58, 1), (71, 1), (75, 1), (97, 1), (108, 1), (166, 1), (197, 1), (229, 1), (658, 1), (1308, 1), (1450, 1), (1506, 1), (3487, 1), (3512, 1), (3697, 1), (3739, 1), (5467, 1), (8152, 1), (8245, 1), (11883, 1), (11884, 1), (11885, 1), (11886, 1), (11887, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (22, 2), (25, 2), (31, 2), (37, 3), (45, 2), (46, 1), (50, 2), (53, 3), (71, 1), (82, 1), (83, 1), (90, 2), (94, 1), (117, 1), (173, 1), (203, 1), (206, 1), (226, 1), (232, 1), (240, 1), (256, 1), (278, 1), (286, 1), (602, 1), (726, 1), (897, 1), (1308, 1), (1377, 1), (1391, 1), (1488, 1), (1499, 1), (1509, 1), (1642, 1), (1702, 1), (1909, 1), (2178, 1), (2196, 1), (5029, 1), (5229, 1), (5592, 1), (6129, 1), (6315, 1), (6411, 1), (6416, 1), (6711, 1), (7551, 1), (7729, 1), (8473, 1), (9294, 1), (9387, 1), (11888, 1), (11889, 1), (11890, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 2), (32, 1), (37, 1), (45, 1), (53, 1), (54, 1), (58, 1), (65, 2), (82, 1), (85, 1), (91, 1), (185, 1), (215, 1), (260, 1), (317, 1), (824, 1), (830, 1), (1170, 1), (1219, 1), (1248, 1), (1481, 1), (2030, 1), (2515, 1), (2775, 1), (3756, 1), (7223, 1), (9143, 1), (9215, 1), (11891, 1), (11892, 1)], [(8, 1), (54, 1), (82, 1), (106, 1), (174, 1), (654, 1), (6591, 1), (9274, 1)], [(1544, 1), (11893, 1)], [(8, 1), (24, 1), (65, 1), (11894, 1), (11895, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (53, 3), (54, 1), (65, 1), (111, 1), (122, 1), (410, 1), (428, 1), (459, 1), (777, 1), (891, 1), (1304, 1), (1995, 1), (2820, 1), (3651, 1), (4652, 1), (5186, 1), (7396, 1), (9464, 1), (11896, 1), (11897, 1), (11898, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (25, 1), (60, 1), (65, 1), (72, 1), (77, 1), (84, 1), (96, 1), (108, 1), (369, 1), (373, 1), (459, 1), (531, 1), (3335, 1), (3392, 1), (3614, 1), (9696, 1), (11899, 1), (11900, 1)], [(8, 1), (20, 2), (25, 3), (31, 1), (37, 1), (45, 1), (50, 1), (53, 2), (54, 1), (63, 1), (90, 1), (229, 1), (241, 1), (428, 1), (531, 1), (744, 1), (903, 1), (1005, 1), (1010, 1), (1129, 1), (1689, 1), (1702, 1), (1824, 1), (1960, 1), (2088, 1), (2648, 1), (2919, 1), (5282, 1), (7078, 1), (11300, 1), (11901, 1), (11902, 1)], [(8, 1), (20, 1), (23, 1), (50, 1), (53, 2), (54, 1), (111, 1), (193, 1), (1529, 1), (3335, 1), (3614, 1), (4631, 1), (4781, 1), (7266, 1)], [(7, 1), (8, 1), (18, 2), (20, 9), (23, 3), (25, 8), (37, 2), (40, 1), (45, 1), (50, 4), (53, 12), (58, 1), (75, 1), (90, 1), (108, 1), (111, 1), (174, 1), (185, 1), (193, 1), (197, 1), (209, 1), (215, 2), (229, 1), (273, 1), (281, 1), (293, 1), (328, 1), (365, 1), (369, 2), (392, 1), (459, 2), (504, 1), (680, 1), (708, 1), (709, 1), (777, 2), (792, 1), (897, 1), (903, 1), (1149, 1), (1308, 1), (1324, 1), (1580, 1), (1587, 1), (1695, 1), (2036, 2), (2083, 1), (2466, 1), (2636, 1), (2638, 1), (2716, 1), (2847, 1), (2965, 1), (3179, 1), (3378, 1), (3379, 1), (3435, 1), (3567, 1), (3614, 1), (3709, 1), (3898, 1), (4286, 1), (4640, 1), (4689, 1), (5325, 1), (5970, 1), (6267, 1), (7279, 1), (11182, 1), (11900, 2), (11903, 1), (11904, 1), (11905, 1), (11906, 1), (11907, 1), (11908, 1), (11909, 2), (11910, 1), (11911, 1), (11912, 1), (11913, 1)], [(8, 1), (19, 2), (20, 3), (25, 1), (40, 1), (50, 3), (53, 3), (55, 1), (90, 1), (229, 1), (256, 1), (269, 1), (351, 1), (415, 1), (627, 1), (1041, 1), (1864, 2), (1966, 1), (2034, 1), (2324, 1), (2669, 1), (5385, 1), (6777, 1), (9525, 1), (9787, 1), (11910, 2), (11912, 1), (11914, 1), (11915, 1)], [(8, 1), (20, 2), (22, 1), (23, 2), (25, 2), (55, 1), (75, 1), (106, 1), (206, 1), (226, 1), (229, 3), (236, 1), (428, 1), (903, 1), (1580, 3), (7976, 1), (8267, 1), (11909, 1), (11910, 1), (11912, 1), (11916, 1), (11917, 1), (11918, 1)], [(7, 1), (8, 1), (18, 1), (20, 13), (21, 3), (22, 3), (23, 1), (25, 4), (31, 2), (37, 1), (50, 1), (53, 5), (71, 2), (97, 1), (111, 3), (117, 2), (185, 3), (190, 1), (195, 1), (203, 1), (215, 1), (232, 2), (236, 1), (275, 1), (329, 1), (369, 3), (601, 1), (687, 2), (1081, 1), (1820, 1), (2037, 1), (2126, 1), (2479, 1), (2667, 1), (2712, 1), (2868, 1), (3002, 1), (3572, 1), (3614, 1), (3854, 1), (4390, 1), (4659, 1), (5065, 1), (5298, 1), (6097, 1), (7332, 1), (7466, 1), (8004, 2), (9026, 1), (9890, 1), (11912, 1), (11913, 2), (11917, 1), (11919, 1), (11920, 1), (11921, 1), (11922, 1), (11923, 1), (11924, 1), (11925, 1), (11926, 1), (11927, 1), (11928, 1)], [(7, 3), (8, 1), (19, 4), (20, 8), (21, 1), (22, 2), (24, 1), (25, 3), (31, 2), (50, 2), (53, 2), (71, 1), (82, 1), (90, 1), (109, 1), (190, 2), (193, 1), (197, 1), (225, 1), (354, 1), (388, 1), (687, 2), (970, 1), (974, 1), (1041, 4), (1081, 3), (1102, 2), (1159, 1), (1308, 1), (1702, 1), (1720, 1), (1820, 1), (1864, 1), (2036, 1), (2344, 1), (2479, 1), (2615, 1), (2785, 1), (3211, 1), (3416, 1), (3762, 1), (3822, 1), (4286, 1), (4787, 1), (5320, 1), (5942, 1), (7466, 1), (8685, 1), (11660, 1), (11909, 1), (11910, 1), (11912, 1), (11917, 2), (11918, 1), (11929, 1), (11930, 1), (11931, 1), (11932, 1), (11933, 1)], [(8, 1), (18, 2), (20, 4), (23, 2), (25, 4), (50, 1), (53, 2), (75, 1), (90, 2), (109, 1), (174, 1), (186, 1), (190, 1), (193, 2), (293, 1), (419, 1), (420, 1), (459, 1), (516, 1), (824, 1), (1081, 1), (1324, 1), (1459, 1), (1580, 1), (2099, 1), (2168, 1), (2211, 1), (2296, 1), (2847, 1), (3424, 1), (3585, 1), (3709, 1), (4086, 1), (4789, 1), (5011, 2), (7396, 1), (11063, 1), (11900, 2), (11934, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (54, 1), (65, 2), (90, 1), (306, 1), (1802, 1), (3221, 1), (4709, 1), (5448, 1), (8101, 1), (8103, 1), (9931, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (26, 1), (45, 2), (54, 1), (75, 1), (85, 1), (173, 1), (193, 1), (516, 1), (1462, 1), (1479, 1), (1811, 1), (2102, 1), (3000, 1), (3469, 1), (3594, 1), (4782, 1), (5368, 1), (10794, 1), (11935, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (31, 1), (37, 1), (50, 2), (51, 1), (53, 4), (54, 1), (65, 1), (71, 1), (90, 2), (109, 3), (117, 2), (166, 1), (172, 1), (215, 2), (232, 2), (256, 1), (394, 1), (452, 1), (518, 1), (553, 1), (744, 1), (777, 1), (827, 1), (834, 1), (922, 1), (1010, 1), (1012, 1), (1170, 1), (1416, 1), (1471, 1), (1482, 1), (1499, 1), (1520, 1), (1541, 1), (1897, 1), (2030, 1), (2053, 1), (3020, 1), (3709, 1), (3858, 1), (7896, 1), (8103, 1), (8857, 1), (9832, 1), (11936, 1)], [(7, 1), (8, 1), (20, 3), (25, 2), (30, 1), (31, 1), (50, 1), (53, 2), (99, 2), (111, 1), (172, 1), (173, 1), (209, 1), (236, 1), (285, 1), (293, 1), (309, 1), (433, 1), (448, 1), (450, 1), (509, 1), (777, 1), (834, 1), (1010, 1), (1350, 1), (1479, 1), (2168, 1), (2296, 1), (2601, 1), (2613, 1), (2725, 1), (4782, 1), (5177, 1), (5496, 1), (6358, 1), (6915, 1), (9154, 1), (11937, 1), (11938, 1)], [(64, 1), (247, 1), (351, 1), (1321, 1), (1322, 1)], [(247, 1), (328, 1)], [(247, 1), (328, 1)], [(247, 1), (328, 1)], [(247, 1), (1321, 1), (1322, 1)], [(1178, 1), (1321, 1), (1322, 1)], [(64, 1), (65, 1), (946, 1), (1323, 1), (1324, 1)], [(20, 1), (53, 1), (64, 1), (65, 1), (247, 1), (410, 1), (418, 1), (708, 1), (1240, 1), (1329, 1), (1549, 1), (11939, 1)], [(18, 1), (50, 1), (86, 1), (91, 1), (1178, 1)], [(8, 1), (37, 1), (54, 1), (3735, 1), (5018, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (25, 1), (53, 1), (55, 1), (215, 1), (756, 1), (922, 1), (1253, 1), (1321, 1), (3026, 1), (7884, 1), (11418, 1), (11940, 1), (11941, 1)], [(8, 1), (45, 1), (50, 1), (74, 1), (109, 1), (185, 1), (331, 1), (415, 1), (1471, 1), (3227, 1), (8988, 1), (11942, 1), (11943, 1)], [(64, 1), (287, 1), (351, 1), (1178, 1), (3264, 1)], [(8, 1), (22, 1), (25, 1), (32, 1), (53, 2), (54, 1), (109, 1), (187, 1), (3020, 1), (3304, 1), (8103, 1)], [(20, 1), (64, 1), (1178, 1), (6961, 1), (7171, 1)], [(8, 1), (2925, 1), (6315, 1)], [(64, 1), (247, 1), (2636, 1)], [(1178, 1), (1342, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (53, 2), (65, 1), (193, 1), (2343, 1), (2928, 1), (3316, 1), (5994, 1), (6315, 1), (6364, 1), (6501, 1), (8245, 1), (8488, 1), (8489, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (32, 1), (53, 1), (54, 1), (58, 1), (109, 1), (112, 1), (307, 1), (709, 1), (754, 1), (1322, 1), (1324, 1), (2348, 1), (2466, 1), (5173, 1)], [(8, 1), (19, 2), (20, 1), (31, 1), (34, 1), (50, 1), (53, 1), (84, 1), (90, 1), (91, 1), (170, 1), (187, 1), (310, 1), (347, 1), (419, 1), (1414, 1), (1458, 1), (2304, 1), (4282, 1), (6633, 1), (7506, 1), (8103, 1), (11892, 1), (11944, 1), (11945, 1)], [(7, 2), (8, 1), (19, 1), (20, 6), (21, 1), (22, 1), (25, 1), (31, 4), (32, 1), (37, 1), (45, 2), (50, 2), (53, 4), (54, 1), (55, 1), (71, 1), (74, 1), (82, 1), (84, 1), (90, 2), (108, 1), (111, 1), (161, 1), (166, 1), (173, 1), (182, 1), (185, 1), (193, 2), (217, 1), (268, 1), (269, 1), (286, 1), (328, 1), (347, 1), (420, 1), (677, 1), (697, 1), (706, 1), (708, 1), (756, 1), (1071, 1), (1122, 1), (1253, 1), (1502, 1), (1529, 1), (1644, 1), (2075, 1), (2197, 1), (2239, 1), (2442, 1), (2474, 1), (2686, 1), (2744, 1), (2785, 1), (4801, 1), (5250, 1), (5567, 1), (5825, 1), (6259, 1), (7854, 1), (7874, 1), (8103, 1), (8923, 1), (10686, 1), (11946, 1), (11947, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (21, 1), (50, 1), (53, 4), (65, 1), (77, 1), (82, 1), (90, 1), (108, 1), (185, 1), (193, 1), (317, 1), (336, 1), (394, 1), (600, 1), (706, 1), (834, 1), (913, 1), (1042, 1), (1342, 1), (7110, 1), (8099, 1), (11948, 1), (11949, 1)], [(8, 1), (20, 1), (22, 3), (24, 1), (25, 2), (31, 1), (53, 6), (54, 1), (85, 1), (193, 1), (310, 1), (347, 1), (365, 1), (450, 1), (459, 2), (516, 1), (627, 1), (702, 1), (777, 2), (913, 1), (1012, 1), (1239, 1), (1248, 2), (2066, 1), (2076, 1), (2200, 1), (2501, 1), (3512, 1), (3537, 1), (8322, 1), (10315, 1), (11950, 1), (11951, 1), (11952, 1), (11953, 1), (11954, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 3), (54, 1), (55, 1), (75, 1), (269, 2), (414, 1), (450, 1), (982, 1), (1529, 1), (1693, 1), (2318, 1), (4988, 1), (11955, 1), (11956, 1), (11957, 1), (11958, 1), (11959, 1), (11960, 1)], [(8, 1), (19, 1), (50, 2), (53, 1), (65, 2), (117, 2), (174, 1), (232, 2), (241, 1), (410, 1), (414, 1), (531, 1), (600, 1), (645, 1), (709, 1), (904, 1), (1170, 1), (1239, 1), (1363, 1), (1558, 1), (5851, 1), (6885, 1)], [(8, 1), (18, 1), (53, 1), (54, 1), (90, 1), (95, 1), (109, 1), (185, 1), (193, 1), (197, 1), (220, 1), (301, 1), (1570, 1), (2030, 1), (2354, 1), (3594, 1), (6335, 1), (7895, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (37, 1), (50, 1), (54, 1), (85, 1), (90, 1), (193, 1), (323, 1), (903, 1), (1010, 1), (1068, 1), (1262, 1), (2100, 1), (2276, 1), (2741, 1), (2872, 1), (5271, 1), (5657, 1), (5806, 1), (6315, 1), (11542, 1)], [(1544, 1), (11961, 1)], [(8, 1), (24, 1), (3528, 1), (11962, 1)], [(8, 1), (18, 1), (20, 5), (24, 1), (25, 2), (50, 2), (53, 4), (55, 1), (97, 1), (108, 1), (293, 1), (328, 1), (373, 1), (414, 1), (415, 1), (459, 2), (632, 1), (711, 1), (897, 1), (903, 1), (2064, 1), (2200, 1), (4976, 1), (5271, 1), (6252, 1), (6613, 1), (8413, 1), (9835, 1), (11963, 1), (11964, 1)], [(8, 1), (20, 2), (50, 2), (53, 3), (72, 1), (106, 1), (109, 1), (117, 1), (217, 1), (232, 1), (269, 1), (347, 1), (373, 1), (414, 1), (913, 1), (1041, 1), (1102, 1), (1325, 1), (1607, 1), (2029, 1), (2075, 1), (3079, 1), (4568, 1), (5426, 1), (6439, 1), (11965, 1)], [(7, 1), (8, 1), (20, 1), (24, 1), (25, 1), (32, 1), (54, 1), (55, 1), (65, 1), (90, 1), (109, 1), (269, 1), (516, 1), (778, 1), (988, 1), (1041, 2), (2296, 1), (2434, 1), (2886, 1), (3652, 1), (4282, 1), (7992, 1), (11966, 1), (11967, 1), (11968, 1)], [(8, 1), (20, 1), (30, 1), (50, 2), (53, 1), (55, 1), (126, 1), (922, 1), (1270, 1), (2276, 1), (2401, 2), (3360, 1), (3837, 1), (3924, 1), (7399, 1), (8492, 1), (10198, 1), (11969, 1), (11970, 1)], [(8, 1), (18, 1), (20, 1), (25, 2), (45, 1), (53, 1), (54, 1), (185, 1), (281, 1), (301, 1), (672, 1), (706, 1), (778, 1), (1122, 2), (2691, 1), (5602, 1), (5913, 1), (6957, 1), (11124, 1), (11971, 1), (11972, 1), (11973, 1), (11974, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 5), (25, 2), (31, 1), (50, 6), (53, 6), (65, 2), (71, 2), (90, 1), (108, 1), (167, 1), (185, 1), (246, 1), (414, 1), (448, 2), (450, 1), (459, 1), (526, 1), (680, 1), (711, 1), (778, 1), (896, 1), (1393, 1), (1495, 1), (1902, 1), (2038, 1), (2251, 1), (2442, 1), (2743, 1), (2934, 1), (3014, 1), (3204, 1), (3398, 1), (3418, 1), (3420, 1), (3652, 1), (4051, 1), (4903, 1), (5065, 1), (5153, 1), (5178, 1), (6319, 1), (7088, 1), (7992, 1), (10728, 1), (11008, 1), (11621, 1), (11975, 1), (11976, 1), (11977, 1), (11978, 1), (11979, 1)], [(19, 1), (20, 3), (51, 1), (53, 2), (64, 1), (65, 1), (68, 1), (85, 1), (117, 1), (193, 1), (206, 1), (232, 1), (281, 1), (328, 1), (450, 1), (459, 1), (645, 1), (706, 1), (709, 1), (778, 1), (946, 1), (1824, 1), (2849, 1), (2855, 1), (2916, 1), (2925, 1), (4000, 1), (4292, 1), (6315, 1), (7396, 1), (10757, 1), (11980, 1)], [(8, 1), (53, 1), (54, 1), (64, 1), (65, 1), (1163, 1), (1350, 1), (6574, 1), (8543, 1), (10530, 1)], [(22, 1), (64, 1), (117, 1), (295, 1), (809, 1), (897, 1), (946, 1), (1075, 1), (1324, 1), (9895, 1)], [(8, 1), (53, 1), (2064, 1), (4575, 1), (4972, 1)], [(20, 1), (23, 1), (64, 1), (66, 1), (273, 1), (328, 1), (1324, 1), (9895, 1)], [(8, 1), (18, 2), (20, 8), (22, 3), (31, 2), (45, 1), (50, 2), (53, 10), (54, 1), (55, 2), (65, 2), (90, 1), (112, 1), (117, 1), (131, 1), (161, 1), (232, 1), (310, 1), (365, 1), (415, 1), (428, 2), (450, 1), (516, 1), (600, 1), (632, 1), (708, 1), (709, 1), (777, 1), (824, 1), (913, 2), (1122, 1), (1248, 1), (1529, 1), (2076, 1), (2153, 1), (2356, 1), (2469, 1), (3041, 1), (3590, 1), (3742, 1), (3873, 1), (4136, 1), (5011, 1), (5543, 1), (5719, 1), (6218, 1), (6364, 1), (6609, 1), (6765, 1), (9372, 1), (10544, 1), (11960, 1), (11981, 1)], [(8, 1), (18, 2), (19, 2), (20, 11), (25, 2), (31, 1), (50, 1), (53, 5), (85, 1), (109, 2), (117, 1), (215, 1), (232, 1), (293, 1), (309, 1), (323, 1), (347, 1), (420, 1), (632, 1), (680, 1), (709, 1), (710, 2), (711, 1), (829, 1), (904, 1), (1122, 1), (1329, 1), (1480, 1), (1487, 2), (2872, 1), (2965, 1), (3047, 1), (3256, 1), (3438, 2), (4000, 1), (5986, 1), (6281, 1), (6309, 1), (6315, 1), (6917, 1), (7286, 1), (7295, 1), (7411, 1), (7463, 1), (8150, 1), (9782, 1), (11982, 1), (11983, 1), (11984, 1)], [(8, 1), (20, 1), (25, 1), (37, 1), (45, 1), (50, 1), (53, 4), (55, 1), (82, 1), (261, 1), (281, 1), (301, 1), (415, 1), (450, 1), (913, 1), (1458, 1), (1506, 1), (2181, 1), (4666, 1), (7057, 1), (7992, 1), (8022, 1), (11980, 1)], [(8, 1), (64, 1), (233, 1), (1904, 1), (6315, 1), (7286, 1), (11985, 1)], [(8, 1), (20, 1), (22, 1), (37, 1), (64, 2), (404, 1), (691, 1), (697, 1), (913, 1), (1163, 1), (2925, 1), (6315, 1), (6569, 1), (11986, 1)], [(19, 1), (20, 2), (85, 1), (124, 1), (252, 1), (1178, 1), (6633, 1), (7411, 1), (9896, 1)], [(8, 1), (20, 3), (45, 1), (64, 1), (65, 1), (334, 1), (884, 1), (949, 1), (1122, 1), (1163, 1), (1582, 1), (2702, 1), (2925, 1), (4390, 1), (4939, 1), (7305, 1), (8023, 1), (8075, 1), (11987, 1)], [(64, 1), (626, 1), (1178, 1), (11988, 1)], [(8, 1), (45, 1), (1506, 1), (11989, 1)], [(64, 1), (247, 1), (328, 2), (351, 1), (1458, 1), (3786, 2)], [(20, 1), (351, 1), (626, 1), (970, 1), (1178, 1), (1321, 1), (1322, 1), (1978, 1), (2324, 1), (3786, 1), (7208, 1)], [(20, 1), (64, 1), (66, 1), (1729, 1), (1978, 1), (3398, 1), (5047, 1), (6669, 1), (11351, 1)], [(8, 1), (20, 2), (22, 1), (23, 2), (32, 1), (37, 1), (58, 1), (64, 2), (117, 2), (233, 1), (307, 1), (759, 1), (949, 1), (1163, 1), (1583, 1), (1594, 1), (1644, 1), (1907, 1), (2906, 1), (11351, 1)], [(23, 1), (31, 1), (53, 1), (117, 2), (759, 1), (809, 1), (1714, 1), (1867, 1), (2906, 1), (5601, 1)], [(23, 1), (50, 1), (58, 1), (117, 1), (226, 1), (331, 1), (759, 1), (1714, 1), (2145, 1), (2498, 1), (11341, 1)], [(20, 1), (273, 1), (295, 1), (596, 1), (1714, 1), (11341, 1)], [(8, 1), (20, 1), (214, 1), (530, 1), (1195, 1), (11990, 1)], [(66, 1), (7411, 1)], [(8, 1), (19, 1), (20, 5), (22, 2), (25, 1), (45, 1), (50, 2), (64, 1), (65, 1), (283, 1), (313, 1), (448, 1), (884, 1), (1128, 1), (1163, 1), (1506, 1), (1580, 3), (1702, 1), (2241, 1), (3149, 1), (3256, 1), (3760, 1), (3812, 1), (7295, 1), (8226, 1), (9896, 3), (11991, 1), (11992, 1), (11993, 1), (11994, 1)], [(20, 1), (64, 1), (99, 1), (117, 1), (324, 1), (759, 1), (1580, 1), (1714, 1), (1845, 1), (1907, 1), (1978, 1), (3189, 1), (11995, 1)], [(58, 1), (77, 1), (99, 1), (193, 1), (596, 1), (1714, 1), (4063, 1)], [(31, 1), (373, 1), (1714, 1), (1729, 1), (6217, 1), (7050, 1)], [(247, 1), (11996, 1)], [(8, 1), (19, 1), (21, 2), (53, 2), (109, 1), (124, 2), (214, 1), (434, 1), (530, 1), (702, 1), (812, 1), (1139, 1), (1308, 1), (1354, 1), (1594, 1), (2872, 1), (2912, 1), (11997, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (53, 1), (214, 1), (812, 1), (897, 1), (1594, 1), (1685, 1), (1966, 1), (2178, 1), (4078, 1), (5199, 1), (8993, 1), (9896, 1), (11991, 1)], [(18, 1), (19, 1), (20, 1), (22, 3), (32, 1), (53, 3), (90, 2), (99, 1), (108, 1), (117, 2), (214, 1), (232, 2), (241, 1), (247, 1), (293, 1), (328, 1), (1025, 2), (1403, 1), (1998, 1), (11998, 1), (11999, 1)], [(20, 1), (50, 1), (53, 1), (108, 1), (247, 1), (537, 1), (1580, 1), (2931, 1), (4165, 1), (6213, 1), (7626, 1), (10110, 1)], [(20, 1), (21, 1), (37, 1), (247, 1), (313, 1), (600, 1), (1327, 1), (3760, 1), (4407, 1)], [(8, 1), (18, 2), (20, 1), (21, 1), (22, 1), (31, 2), (71, 2), (117, 2), (759, 2), (1907, 2), (2126, 1), (3353, 2), (12000, 1)], [(20, 1), (99, 2), (117, 1), (324, 1), (759, 1), (1714, 1), (1845, 1), (1907, 1), (10498, 1), (10752, 1), (12001, 1)], [(20, 1), (99, 1), (247, 1), (1901, 1), (2086, 1), (12002, 1)], [(20, 4), (241, 1), (247, 1), (293, 2), (897, 1), (2418, 1), (3718, 2)], [(21, 1), (58, 2), (90, 1), (117, 2), (232, 2), (247, 1), (658, 1)], [(8, 1), (25, 1), (174, 1), (276, 1)], [(20, 1), (247, 1), (248, 1), (328, 1), (691, 1), (697, 2)], [(8, 1), (20, 1), (22, 1), (24, 1), (37, 1), (167, 1), (214, 1), (295, 3), (3124, 1), (4940, 1), (12003, 1), (12004, 1)], [(8, 1), (20, 2), (25, 1), (295, 1), (3616, 1), (9896, 1), (11358, 1), (12005, 1)], [(20, 1), (190, 1), (295, 1), (1714, 1), (11991, 1)], [(20, 1), (117, 1), (295, 1), (581, 1), (759, 1), (1714, 1), (9896, 1)], [(20, 1), (117, 1), (295, 1), (759, 1), (1714, 1), (3291, 1), (9896, 1)], [(25, 2), (31, 1), (50, 1), (53, 1), (65, 1), (81, 1), (117, 1), (247, 1), (295, 1), (759, 1), (1683, 1), (1845, 1), (1901, 1), (1907, 1), (3189, 1), (9896, 2), (10486, 1), (12006, 1), (12007, 1)], [(20, 1), (25, 1), (85, 1), (247, 1), (261, 1), (324, 1), (5657, 1), (9896, 1)], [(325, 1), (1178, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (45, 3), (50, 1), (53, 2), (55, 1), (64, 1), (85, 1), (109, 1), (117, 1), (197, 1), (232, 1), (295, 1), (449, 1), (2036, 1), (2467, 1), (2864, 2), (3689, 1), (3693, 1), (4670, 1), (5795, 1), (5888, 1), (9896, 1), (12008, 1)], [(8, 1), (21, 1), (58, 2), (90, 1), (117, 2), (232, 2), (658, 1)], [(8, 1), (20, 1), (22, 1), (58, 1), (65, 1), (90, 1), (295, 1), (346, 1), (516, 1), (988, 1), (1580, 1), (1685, 1), (1901, 1), (3942, 1), (5794, 1)], [(20, 1), (21, 1), (65, 1), (247, 1), (1159, 2), (1580, 1), (1855, 1), (5657, 1), (6038, 1), (12009, 1)], [(20, 1), (65, 1), (1159, 1), (1178, 1), (6496, 1), (12009, 1), (12010, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (31, 2), (45, 1), (50, 2), (53, 1), (77, 1), (91, 1), (117, 1), (173, 1), (193, 1), (226, 1), (232, 1), (347, 1), (697, 1), (829, 1), (1393, 1), (1506, 1), (1613, 1), (1877, 1), (1909, 1), (1964, 1), (5942, 1), (6465, 1), (6769, 1), (7295, 1), (11984, 1), (12011, 1), (12012, 1)], [(8, 1), (40, 1), (45, 2), (50, 1), (55, 1), (82, 1), (90, 1), (99, 1), (109, 1), (173, 1), (185, 1), (203, 1), (301, 1), (428, 1), (2442, 1), (3095, 1), (4100, 1), (4222, 1), (5446, 1), (12013, 1), (12014, 1)], [(8, 1), (22, 1), (25, 1), (37, 1), (45, 1), (193, 1), (356, 1), (1118, 1), (1792, 1), (9238, 1), (11694, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (25, 3), (31, 1), (36, 1), (45, 1), (50, 2), (52, 1), (53, 5), (90, 1), (108, 2), (166, 1), (175, 1), (215, 1), (268, 1), (273, 1), (285, 1), (293, 2), (387, 1), (407, 1), (487, 1), (505, 1), (654, 1), (744, 1), (809, 1), (903, 1), (1506, 1), (1824, 1), (2284, 1), (3922, 1), (5385, 1), (5913, 1), (6525, 1), (7917, 1), (8066, 2), (8234, 1), (8293, 2), (10422, 2), (12015, 1), (12016, 1), (12017, 1), (12018, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (21, 2), (25, 2), (37, 1), (45, 1), (50, 2), (53, 3), (65, 2), (90, 1), (173, 1), (175, 1), (193, 1), (281, 1), (293, 3), (429, 1), (430, 1), (516, 1), (744, 1), (1342, 1), (1377, 1), (1506, 1), (1668, 1), (1829, 1), (1903, 1), (2126, 1), (2304, 1), (2744, 1), (3002, 1), (4451, 1), (5025, 1), (5611, 1), (6411, 1), (7305, 1), (11538, 1), (11987, 1), (12019, 1), (12020, 1), (12021, 1), (12022, 1), (12023, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (37, 1), (50, 3), (53, 1), (54, 1), (77, 1), (91, 1), (215, 1), (246, 1), (269, 1), (275, 1), (293, 1), (414, 1), (450, 1), (813, 1), (834, 1), (1196, 1), (1458, 1), (2140, 1), (2157, 1), (3657, 1), (4681, 1), (6220, 1), (7098, 1), (7295, 1), (9789, 1), (10896, 1), (12024, 1), (12025, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (25, 1), (32, 1), (53, 2), (54, 1), (108, 1), (109, 1), (111, 1), (117, 1), (232, 1), (293, 1), (359, 1), (415, 1), (418, 1), (420, 1), (459, 1), (707, 1), (913, 1), (1129, 1), (1172, 1), (1328, 1), (1572, 1), (2306, 1), (4575, 1), (6309, 1), (6315, 1), (6352, 1), (7286, 1), (7295, 2), (8245, 1), (9289, 1), (10422, 1)], [(8, 1), (64, 1), (247, 1), (1195, 1), (7286, 1)], [(20, 1), (247, 1), (328, 1), (373, 1), (1335, 1), (4567, 1)], [(18, 1), (20, 2), (55, 1), (98, 1), (291, 1), (295, 2), (504, 1), (949, 1), (1178, 1)], [(64, 1), (1178, 1), (8581, 1)], [(8, 1), (18, 2), (20, 1), (22, 2), (45, 2), (82, 1), (109, 1), (117, 1), (173, 1), (215, 1), (232, 1), (256, 1), (516, 1), (753, 1), (1122, 1), (1506, 1), (1510, 1), (1574, 1), (1702, 1), (2034, 1), (2050, 1), (2977, 1), (3389, 1), (3745, 1), (7286, 1), (7295, 1), (12026, 1), (12027, 1), (12028, 1)], [(20, 1), (50, 1), (64, 1), (247, 1), (295, 1), (342, 1), (596, 1), (834, 1), (949, 1), (1978, 1), (3398, 1)], [(8, 1), (20, 2), (53, 1), (63, 1), (64, 1), (307, 1), (414, 1), (709, 1), (1363, 1), (2228, 1), (12029, 1)], [(10, 1), (20, 2), (276, 1), (1978, 1), (4745, 1), (12030, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 1), (45, 1), (64, 1), (85, 1), (126, 1), (247, 1), (392, 1), (897, 1), (1195, 1), (1458, 1), (1506, 1), (2245, 1), (2390, 1), (5052, 1), (7295, 1), (10852, 1), (12031, 1)], [(10, 1), (20, 2), (519, 2), (1159, 2), (1579, 1), (1580, 1), (12032, 1)], [(8, 2), (20, 2), (37, 1), (53, 1), (108, 1), (256, 1), (454, 1), (812, 1), (1195, 1), (1594, 1), (7295, 1)], [(8, 1), (20, 1), (37, 1), (96, 1), (190, 1), (276, 1), (324, 1), (496, 1), (702, 1), (1506, 1), (9896, 1)], [(10, 1), (20, 2), (600, 1), (1580, 1), (2680, 1), (7342, 1), (12032, 1)], [(8, 2), (20, 2), (25, 1), (50, 1), (90, 1), (96, 1), (108, 1), (117, 2), (232, 2), (295, 1), (351, 1), (426, 1), (1195, 1), (6213, 1), (7208, 1), (7295, 1), (12033, 1)], [(10, 1), (20, 1), (1580, 1), (1978, 1), (11991, 1), (12032, 1)], [(20, 1), (53, 1), (117, 1), (232, 1), (247, 1), (354, 1), (1253, 1), (6213, 1)], [(22, 1), (25, 1), (31, 1), (66, 1), (75, 2), (77, 1), (106, 1), (193, 1), (202, 1), (3301, 2), (6912, 1)], [(8, 1), (20, 5), (23, 3), (53, 1), (64, 2), (117, 1), (215, 3), (220, 1), (236, 2), (289, 1), (293, 1), (414, 1), (420, 1), (913, 1), (1163, 1), (1627, 1), (2906, 1), (4390, 1), (4939, 1), (7295, 1), (7435, 1), (8530, 1), (12034, 1)], [(8, 1), (20, 3), (25, 1), (53, 1), (65, 1), (90, 1), (96, 1), (108, 1), (117, 1), (173, 1), (174, 1), (215, 1), (232, 1), (293, 1), (337, 1), (428, 1), (1867, 1), (2348, 1), (3756, 1), (4775, 1), (4939, 1), (8488, 1), (8489, 1)], [(8, 1), (310, 1), (328, 1), (459, 1), (530, 1), (3524, 1)], [(8, 1), (24, 1), (50, 1), (53, 1), (58, 1), (117, 1), (193, 1), (232, 1), (756, 1), (2795, 1), (10515, 1)], [(20, 2), (58, 1), (71, 1), (240, 1), (247, 1), (293, 1), (2013, 1)], [(71, 1), (117, 1), (247, 1), (759, 1), (2159, 1), (2540, 1)], [(247, 1), (970, 1), (2849, 1)], [(20, 1), (247, 1), (248, 1), (600, 1), (697, 1)], [(19, 1), (53, 1), (65, 1), (117, 1), (122, 1), (247, 1), (361, 1), (756, 1), (759, 1), (2011, 1), (10515, 1)], [(248, 1), (697, 1), (1178, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (31, 2), (50, 4), (53, 6), (82, 2), (91, 2), (108, 1), (109, 1), (117, 2), (185, 2), (193, 1), (206, 1), (215, 1), (221, 1), (232, 2), (256, 1), (346, 1), (347, 2), (348, 1), (399, 1), (448, 3), (709, 1), (744, 1), (813, 1), (897, 1), (913, 1), (1102, 1), (1342, 1), (1498, 1), (1570, 1), (1667, 1), (2064, 1), (2785, 1), (2813, 1), (2916, 1), (3083, 1), (3121, 1), (3328, 1), (3873, 1), (4000, 1), (4657, 1), (6743, 1), (7664, 1), (7765, 1), (7892, 1), (7895, 1), (8133, 1), (9978, 1), (10660, 1), (11351, 1), (12035, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (25, 2), (31, 1), (37, 2), (50, 3), (53, 5), (55, 1), (96, 1), (108, 3), (109, 2), (117, 2), (122, 1), (185, 1), (215, 1), (232, 2), (293, 1), (450, 2), (459, 1), (697, 1), (708, 1), (711, 1), (1102, 1), (1196, 1), (1271, 1), (1305, 1), (1342, 1), (1474, 1), (1656, 1), (1664, 1), (1702, 1), (2168, 1), (2202, 1), (2276, 1), (2354, 1), (2743, 1), (3363, 1), (3661, 1), (6112, 1), (6315, 1), (7295, 1), (10159, 1), (10660, 1), (10717, 1), (12036, 1), (12037, 1), (12038, 1), (12039, 1), (12040, 1)], [(8, 1), (20, 2), (23, 2), (50, 1), (53, 5), (182, 1), (215, 2), (240, 1), (286, 1), (347, 1), (414, 1), (506, 1), (1092, 1), (1361, 1), (1363, 1), (2095, 1), (2424, 1), (2601, 1), (3557, 1), (5064, 1), (6129, 1), (7089, 1), (7205, 1), (10668, 1), (12041, 1), (12042, 1), (12043, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (30, 1), (45, 1), (50, 3), (53, 2), (54, 2), (85, 1), (288, 1), (415, 1), (913, 1), (1498, 1), (1506, 1), (1702, 1), (2388, 1), (3678, 1), (4107, 1), (6281, 1), (6301, 1), (6315, 1), (7208, 1), (7332, 1), (7383, 1), (9071, 1), (10422, 1), (10995, 1), (11132, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (25, 2), (37, 1), (45, 1), (50, 3), (53, 2), (55, 1), (65, 1), (85, 1), (97, 1), (373, 1), (516, 2), (670, 1), (680, 1), (711, 1), (903, 1), (988, 1), (1415, 1), (1483, 1), (1857, 1), (2211, 1), (2543, 1), (2872, 1), (3398, 1), (4116, 1), (4563, 1), (5712, 1), (6217, 1), (7191, 1), (8791, 1), (11008, 1), (11461, 1), (12044, 1), (12045, 1), (12046, 1), (12047, 1), (12048, 1)], [(8, 1), (18, 2), (19, 2), (20, 8), (22, 2), (25, 1), (26, 1), (30, 1), (31, 1), (45, 4), (50, 3), (53, 9), (54, 2), (55, 2), (108, 1), (117, 1), (161, 1), (173, 1), (182, 2), (193, 1), (209, 1), (215, 2), (232, 1), (269, 1), (305, 1), (323, 1), (347, 2), (373, 2), (415, 1), (428, 1), (504, 1), (516, 1), (703, 1), (756, 1), (767, 1), (976, 2), (1010, 1), (1069, 1), (1350, 1), (1403, 1), (1529, 1), (1578, 1), (1596, 1), (1600, 1), (1857, 1), (2270, 1), (2401, 1), (2862, 1), (2985, 1), (2995, 1), (3360, 1), (3782, 1), (3921, 1), (5495, 1), (6315, 2), (6358, 1), (6602, 1), (7305, 1), (7899, 1), (10422, 1), (10515, 1), (11795, 1), (11929, 1), (11958, 1), (11980, 1), (11987, 2), (12049, 1), (12050, 1), (12051, 1), (12052, 1), (12053, 1), (12054, 1), (12055, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (53, 2), (117, 1), (182, 1), (193, 1), (232, 1), (373, 1), (459, 1), (582, 1), (627, 1), (776, 1), (897, 1), (1069, 1), (1393, 1), (1529, 1), (2849, 1), (2872, 1), (3352, 1), (5169, 1), (9051, 1), (9588, 1), (10752, 1), (12056, 1)], [(8, 1), (25, 1), (53, 1), (365, 1), (414, 1), (1227, 1), (1506, 1), (5063, 1), (7409, 1)], [(8, 1), (31, 1), (53, 2), (414, 1), (450, 1), (697, 1), (913, 1), (1248, 1), (1626, 1), (3735, 1), (4581, 1), (5986, 1)], [(8, 1), (20, 2), (24, 1), (45, 1), (50, 1), (53, 2), (58, 1), (109, 1), (187, 1), (268, 1), (310, 1), (347, 2), (428, 1), (1102, 1), (1133, 1), (1502, 1), (1806, 1), (1820, 1), (3591, 1), (3654, 1), (3842, 1), (5384, 1), (5566, 1), (6315, 1), (7839, 1), (9167, 1), (9957, 1), (10676, 1)], [(45, 1), (64, 1), (85, 1), (645, 1), (1170, 1), (1178, 1), (2543, 1), (7124, 1), (10752, 1)], [(8, 1), (2925, 1), (7286, 1)], [(20, 2), (64, 1), (186, 1), (252, 1), (800, 1), (1178, 1), (3614, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (53, 5), (55, 1), (186, 1), (217, 1), (261, 1), (328, 1), (347, 1), (414, 1), (433, 1), (708, 1), (1139, 1), (1328, 1), (2253, 1), (2296, 1), (2344, 1), (2371, 1), (2455, 1), (2707, 1), (2712, 1), (3024, 1), (4551, 1), (4988, 1), (6258, 1), (8150, 1), (12057, 1), (12058, 1), (12059, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 2), (45, 1), (50, 4), (53, 6), (54, 2), (55, 1), (58, 1), (182, 1), (220, 1), (281, 1), (365, 1), (373, 1), (441, 1), (587, 1), (710, 1), (1139, 1), (1377, 2), (1664, 1), (1806, 1), (2239, 1), (3305, 1), (3326, 1), (4015, 1), (5064, 1), (7286, 1), (7501, 1), (11958, 1), (12060, 1), (12061, 1), (12062, 1), (12063, 1), (12064, 1), (12065, 1), (12066, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 3), (53, 5), (54, 1), (117, 1), (232, 1), (281, 1), (373, 1), (418, 1), (441, 1), (448, 1), (452, 1), (704, 1), (710, 1), (767, 1), (813, 1), (1041, 1), (1118, 1), (1348, 1), (1702, 1), (1807, 1), (2965, 1), (3422, 1), (3540, 1), (4161, 1), (5611, 1), (5622, 1), (6268, 1), (6983, 1), (7411, 1), (7463, 1), (7501, 1), (12067, 1), (12068, 1), (12069, 1), (12070, 1)], [(8, 1), (53, 1), (55, 1), (77, 1), (95, 1), (108, 1), (122, 1), (444, 1), (1239, 1), (2839, 1), (4787, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (37, 1), (50, 2), (53, 2), (65, 1), (75, 1), (77, 1), (82, 1), (90, 1), (97, 1), (117, 1), (124, 1), (193, 1), (215, 1), (232, 1), (256, 1), (281, 1), (317, 1), (347, 1), (448, 1), (645, 1), (706, 1), (709, 1), (744, 1), (833, 1), (903, 1), (1159, 1), (1659, 1), (2965, 1), (3540, 1), (4862, 1), (5142, 1), (7411, 1), (11936, 1), (12071, 1), (12072, 1), (12073, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 3), (45, 1), (50, 2), (53, 1), (54, 2), (65, 4), (90, 1), (185, 1), (193, 1), (263, 1), (268, 1), (293, 1), (301, 1), (792, 1), (800, 1), (829, 1), (884, 2), (922, 1), (1287, 1), (1342, 1), (1485, 1), (1582, 3), (2434, 1), (3121, 1), (4465, 1), (6430, 1), (7108, 1), (8075, 3), (12068, 1)], [(19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (34, 1), (64, 1), (66, 1), (90, 1), (117, 1), (186, 1), (328, 1), (414, 1), (434, 1), (498, 1), (506, 1), (518, 1), (531, 1), (581, 1), (708, 1), (759, 1), (1248, 1), (5393, 1), (11987, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (45, 2), (53, 1), (55, 1), (75, 1), (108, 1), (185, 1), (281, 1), (697, 1), (727, 1), (897, 1), (974, 1), (1377, 1), (2816, 1), (3379, 1), (4143, 1), (4801, 1), (4957, 1), (7362, 1), (8140, 1), (11958, 1), (12074, 1), (12075, 1), (12076, 1)], [(8, 1), (18, 1), (20, 1), (64, 1), (65, 1), (161, 1), (215, 1), (317, 1), (706, 1), (949, 1), (3642, 1)], [(99, 1), (946, 1), (8726, 1), (9608, 1)], [(20, 2), (22, 1), (23, 2), (25, 1), (64, 1), (66, 1), (99, 1), (190, 1), (289, 1), (295, 1), (452, 1), (457, 1), (658, 1), (704, 1), (1177, 1), (1180, 1), (1308, 1), (1580, 1), (2241, 1), (3612, 1), (12077, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 3), (30, 1), (45, 4), (50, 1), (53, 3), (55, 1), (65, 1), (75, 1), (117, 2), (173, 1), (215, 1), (232, 2), (269, 1), (305, 1), (373, 1), (414, 2), (418, 1), (645, 1), (704, 1), (706, 1), (727, 1), (743, 1), (884, 2), (897, 1), (1012, 1), (1377, 1), (1981, 1), (2139, 1), (2318, 1), (2409, 1), (2658, 1), (2680, 1), (2686, 1), (2753, 1), (2867, 1), (2950, 1), (3552, 1), (5105, 1), (7411, 2), (8518, 1), (8787, 1), (9372, 1), (9527, 1), (9529, 1), (12071, 1), (12078, 1), (12079, 1), (12080, 1), (12081, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (30, 1), (32, 1), (54, 1), (55, 2), (226, 1), (269, 1), (305, 1), (331, 1), (1069, 1), (1377, 1), (2965, 1), (3155, 1), (7362, 1), (7411, 1), (8140, 1), (8580, 1), (12082, 1), (12083, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 1), (25, 1), (31, 1), (34, 1), (45, 1), (50, 1), (53, 3), (55, 1), (58, 1), (65, 1), (77, 1), (96, 1), (161, 1), (190, 1), (260, 1), (373, 1), (407, 1), (410, 1), (420, 1), (518, 1), (531, 1), (570, 1), (1342, 1), (1668, 1), (2359, 1), (2847, 1), (3275, 1), (3413, 1), (3480, 1), (4359, 1), (4709, 1), (5816, 1), (5861, 1), (8150, 1), (8319, 1), (12084, 1), (12085, 1), (12086, 1), (12087, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (34, 1), (53, 1), (124, 1), (281, 1), (744, 1), (1392, 1), (1487, 1), (2120, 1), (2847, 1), (3136, 1), (11936, 1), (12068, 1), (12088, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (45, 1), (50, 3), (53, 3), (54, 1), (55, 1), (108, 1), (124, 1), (130, 1), (197, 1), (281, 1), (301, 1), (365, 1), (507, 1), (884, 1), (1080, 1), (1377, 1), (1668, 1), (1824, 1), (2126, 1), (2163, 1), (2241, 1), (2409, 1), (2658, 1), (2971, 1), (3197, 1), (3495, 1), (5621, 1), (6201, 1), (7411, 1), (8004, 1), (8140, 1), (12089, 1), (12090, 1), (12091, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (65, 2), (626, 1), (903, 1), (1549, 1), (2198, 1), (2340, 1), (7411, 1), (8564, 1), (12092, 1), (12093, 1)], [(8, 1), (24, 1), (53, 1), (833, 1), (2304, 1), (10839, 1), (12094, 1), (12095, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (32, 1), (53, 1), (55, 1), (82, 1), (117, 1), (173, 1), (232, 1), (256, 1), (269, 1), (285, 1), (691, 1), (792, 1), (884, 1), (897, 1), (2117, 1), (2409, 1), (2625, 1), (2828, 1), (2995, 1), (3227, 1), (6704, 1), (7341, 1), (7411, 1), (9157, 1), (9516, 1), (12096, 1), (12097, 1), (12098, 1)], [(8, 1), (20, 1), (23, 1), (25, 2), (53, 2), (82, 1), (90, 1), (108, 1), (168, 2), (172, 1), (182, 1), (241, 1), (256, 1), (672, 1), (792, 1), (1159, 2), (5346, 1), (5848, 1), (9852, 1), (10933, 1), (12099, 1), (12100, 1), (12101, 1)], [(8, 1), (20, 2), (53, 1), (65, 1), (268, 1), (744, 1), (1348, 1), (1572, 1), (3467, 1), (3696, 1), (7295, 1), (7396, 1), (12102, 1), (12103, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (24, 1), (25, 1), (31, 1), (45, 2), (50, 1), (53, 2), (54, 1), (55, 1), (58, 1), (82, 1), (90, 1), (109, 1), (172, 1), (175, 1), (187, 1), (195, 1), (215, 1), (269, 1), (353, 1), (450, 1), (459, 1), (504, 1), (601, 1), (675, 1), (744, 1), (1044, 1), (1483, 1), (1717, 1), (2757, 1), (2919, 1), (3114, 1), (6239, 1), (7295, 1), (8570, 1), (9613, 1), (11244, 1), (11265, 1), (12104, 1)], [(8, 1), (18, 1), (20, 1), (36, 1), (45, 1), (58, 2), (109, 1), (173, 1), (516, 1), (1139, 1), (2029, 1), (4027, 1), (5525, 1), (12105, 1), (12106, 1), (12107, 1)], [(18, 1), (19, 2), (20, 9), (22, 1), (25, 2), (31, 1), (36, 1), (37, 1), (45, 6), (50, 2), (53, 2), (55, 1), (58, 1), (64, 1), (65, 1), (75, 1), (85, 1), (109, 1), (173, 1), (214, 1), (217, 1), (246, 1), (256, 1), (261, 1), (310, 1), (328, 1), (347, 2), (418, 1), (420, 1), (516, 2), (627, 1), (691, 1), (697, 1), (711, 1), (1150, 1), (1178, 1), (1578, 1), (1587, 1), (1856, 1), (2185, 1), (2365, 1), (2850, 1), (2862, 1), (3077, 1), (3353, 1), (3670, 1), (3786, 1), (4200, 1), (4575, 1), (5011, 1), (6281, 1), (7943, 1), (8033, 1), (8034, 1), (8103, 1), (8150, 1), (8465, 1), (12108, 1), (12109, 1), (12110, 1), (12111, 1), (12112, 1), (12113, 1), (12114, 1)], [(8, 1), (18, 3), (19, 1), (20, 6), (22, 1), (25, 2), (50, 3), (53, 1), (58, 1), (90, 1), (95, 1), (109, 1), (112, 1), (161, 1), (172, 1), (193, 1), (217, 1), (256, 1), (268, 1), (285, 1), (516, 1), (527, 1), (553, 1), (680, 1), (708, 1), (777, 1), (778, 2), (1416, 1), (1430, 1), (1911, 1), (2306, 1), (2613, 1), (2681, 1), (3364, 1), (3610, 1), (3733, 1), (4530, 1), (5157, 1), (5302, 1), (6075, 1), (6583, 1), (6633, 1), (7280, 1), (9048, 1), (12115, 1), (12116, 1), (12117, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (50, 1), (53, 1), (58, 1), (215, 1), (459, 1), (516, 1), (777, 1), (1010, 2), (1255, 1), (1856, 1), (2734, 1), (12058, 1), (12118, 1), (12119, 1), (12120, 1), (12121, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (50, 1), (53, 1), (185, 1), (187, 1), (441, 1), (459, 1), (679, 1), (680, 1), (1071, 1), (5170, 1), (8345, 1), (9048, 1), (11883, 1), (12122, 1), (12123, 1), (12124, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (37, 1), (50, 2), (53, 2), (415, 1), (450, 1), (711, 1), (903, 1), (1015, 1), (2383, 1), (5302, 1), (7280, 1), (7506, 1), (8644, 1), (8957, 1), (12125, 1), (12126, 1), (12127, 1), (12128, 1)], [(8, 1), (25, 1), (31, 1), (32, 1), (50, 2), (90, 1), (269, 1), (404, 1), (459, 1), (680, 1), (913, 1), (1010, 1), (1509, 1), (1992, 1), (2455, 1), (2849, 1), (3733, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 1), (25, 1), (50, 1), (53, 1), (58, 2), (91, 1), (109, 1), (215, 1), (301, 1), (310, 1), (414, 2), (660, 1), (1526, 1), (3053, 1), (3095, 1), (4612, 1), (5653, 1), (6771, 1), (10285, 1), (11914, 1), (12129, 1), (12130, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (31, 2), (45, 2), (50, 1), (53, 3), (64, 1), (69, 1), (109, 1), (215, 1), (233, 1), (256, 1), (261, 1), (418, 2), (600, 1), (627, 1), (903, 1), (991, 1), (1163, 1), (1328, 1), (1450, 1), (1529, 1), (1580, 1), (1720, 1), (1746, 1), (1749, 1), (1978, 1), (2178, 1), (2467, 1), (2681, 1), (3025, 1), (4791, 1), (7208, 1), (7286, 1), (8517, 1), (9896, 1), (11991, 1), (12031, 1), (12131, 1), (12132, 1), (12133, 1)], [(8, 1), (19, 2), (20, 2), (30, 1), (36, 1), (45, 2), (82, 1), (273, 2), (289, 1), (792, 2), (1102, 1), (1506, 2), (1911, 1), (2005, 1)], [(7, 1), (8, 1), (20, 2), (32, 2), (45, 1), (50, 2), (53, 2), (54, 1), (55, 2), (193, 1), (269, 1), (373, 1), (1393, 1), (3103, 1), (3988, 1), (4666, 1), (4761, 1), (5368, 1), (7830, 1), (12134, 1), (12135, 1), (12136, 1), (12137, 1)], [(8, 1), (53, 1), (65, 1), (884, 1), (1347, 1), (1478, 1), (1582, 1), (2390, 1), (8075, 1)], [(8, 1), (20, 1), (25, 1), (64, 1), (85, 1), (273, 1), (1341, 1), (1580, 1), (1901, 1), (9948, 1)], [(20, 1), (25, 1), (247, 1), (1580, 1), (9896, 1), (12138, 1), (12139, 1)], [(8, 1), (19, 1), (20, 5), (22, 2), (23, 1), (25, 2), (90, 1), (99, 1), (108, 1), (117, 2), (227, 1), (232, 1), (414, 1), (450, 1), (506, 3), (777, 1), (1128, 1), (1308, 1), (1580, 1), (1685, 1), (1842, 1), (1978, 3), (2306, 1), (2401, 1), (2854, 1), (3649, 1), (5784, 1), (5793, 1), (5897, 1), (6306, 1), (8048, 1)], [(21, 1), (247, 1), (414, 2), (506, 2), (2324, 1), (11988, 1)], [(20, 1), (247, 1), (345, 2), (4942, 1)], [(20, 1), (23, 1), (247, 1), (256, 1), (287, 1), (292, 1), (3221, 1), (3226, 1), (3824, 1)], [(247, 1), (4706, 1)], [(34, 1), (90, 1), (680, 1), (778, 1), (1178, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (25, 4), (31, 1), (45, 2), (53, 3), (58, 3), (109, 2), (117, 1), (173, 1), (177, 1), (186, 2), (232, 1), (281, 1), (293, 1), (310, 1), (331, 1), (365, 1), (373, 1), (414, 1), (516, 1), (706, 1), (708, 1), (710, 1), (897, 1), (1348, 1), (1415, 1), (1535, 1), (3438, 1), (3446, 1), (4603, 1), (4659, 1), (4967, 1), (4972, 1), (5804, 1), (12140, 1), (12141, 1), (12142, 1)], [(8, 1), (18, 1), (20, 6), (32, 1), (36, 1), (45, 2), (55, 1), (64, 1), (90, 2), (117, 1), (193, 2), (225, 1), (232, 1), (323, 1), (337, 1), (449, 1), (1044, 1), (1163, 1), (1198, 1), (1245, 1), (1485, 2), (1670, 1), (2036, 1), (2351, 1), (2901, 1), (3083, 1), (5325, 1), (7295, 1), (7411, 1), (8154, 1), (9543, 1), (12143, 1), (12144, 1), (12145, 1)], [(1714, 1), (12146, 1)], [(8, 1), (20, 1), (21, 2), (30, 1), (53, 1), (90, 1), (98, 1), (117, 2), (232, 1), (428, 1), (452, 1), (691, 1), (2906, 1), (2962, 1), (3162, 1), (9543, 2)], [(8, 1), (20, 2), (65, 1), (313, 1), (3760, 1), (12147, 1), (12148, 1)], [(8, 1), (20, 1), (53, 1), (98, 1), (99, 1), (108, 1), (117, 1), (232, 1), (1902, 1), (2852, 1), (3034, 1), (4388, 1), (9204, 1)], [(8, 1), (20, 3), (21, 2), (37, 1), (9896, 2), (11991, 1), (12149, 1), (12150, 1)], [(53, 1), (96, 1), (99, 1), (167, 1), (214, 1), (301, 1), (410, 1), (1714, 1), (7115, 1)], [(8, 1), (20, 3), (25, 1), (600, 1), (1580, 1), (3718, 1), (6602, 1), (12151, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (124, 1), (527, 1), (2515, 1), (7830, 1), (9896, 1), (10422, 1)], [(8, 1), (20, 1), (21, 1), (25, 1), (31, 1), (37, 2), (90, 1), (117, 1), (232, 1), (324, 2), (418, 1), (7129, 1), (10481, 1), (11995, 1), (12152, 1)], [(20, 2), (21, 1), (23, 1), (25, 2), (37, 1), (58, 2), (88, 1), (117, 1), (273, 1), (295, 1), (324, 1), (759, 1), (1178, 1), (1755, 1), (1897, 1), (1907, 1), (2126, 2), (2149, 1), (4116, 1), (12153, 1)], [(8, 1), (19, 1), (21, 1), (22, 1), (45, 1), (50, 2), (53, 2), (54, 1), (58, 1), (65, 1), (90, 2), (96, 1), (99, 1), (108, 1), (206, 1), (226, 1), (233, 1), (301, 1), (405, 1), (454, 1), (459, 1), (1487, 1), (1506, 1), (2365, 1), (2436, 1), (3172, 1), (3398, 1), (3476, 1), (6315, 1), (6907, 1), (9850, 1), (11008, 1), (11131, 1)], [(8, 1), (19, 1), (20, 5), (25, 2), (31, 1), (45, 1), (50, 1), (53, 2), (55, 1), (65, 1), (261, 1), (337, 1), (420, 1), (427, 1), (518, 1), (691, 1), (696, 1), (744, 1), (830, 1), (1097, 1), (2332, 1), (2436, 1), (2886, 1), (4358, 1), (4609, 1), (5053, 1), (6315, 1), (6394, 1), (6755, 1), (7830, 1), (9700, 1), (11981, 1), (12154, 1)], [(8, 1), (20, 1), (37, 1), (53, 1), (414, 1), (913, 1), (3356, 1), (3467, 1)], [(8, 1), (18, 1), (19, 3), (20, 1), (21, 1), (24, 1), (25, 1), (45, 3), (50, 3), (53, 2), (55, 1), (64, 1), (65, 1), (71, 1), (72, 1), (90, 2), (95, 1), (97, 1), (111, 1), (117, 1), (160, 2), (173, 2), (193, 1), (206, 1), (215, 1), (232, 1), (269, 1), (285, 1), (293, 1), (373, 1), (381, 1), (418, 1), (448, 1), (459, 1), (505, 1), (516, 1), (600, 1), (623, 1), (711, 1), (777, 1), (1041, 1), (1163, 1), (1170, 1), (1328, 1), (2025, 1), (2608, 1), (2744, 1), (3237, 1), (4083, 1), (5533, 1), (5837, 1), (7411, 1), (9927, 1), (10728, 1), (12155, 1), (12156, 1), (12157, 1)], [(8, 1), (18, 1), (20, 3), (22, 2), (25, 2), (31, 1), (37, 1), (53, 1), (54, 1), (85, 1), (90, 1), (92, 1), (108, 1), (172, 1), (185, 1), (203, 2), (206, 1), (256, 2), (261, 1), (268, 2), (301, 1), (305, 1), (450, 2), (711, 1), (2140, 1), (2514, 1), (3468, 1), (6034, 1), (7802, 1), (7895, 1), (7898, 1), (8001, 1), (12158, 1), (12159, 1), (12160, 1), (12161, 1), (12162, 1), (12163, 1)], [(18, 1), (25, 1), (50, 1), (54, 1), (122, 1), (247, 1), (263, 1), (1668, 1), (1977, 1), (2185, 1), (2202, 1)], [(8, 1), (18, 2), (19, 2), (20, 10), (22, 5), (24, 1), (25, 4), (31, 2), (37, 2), (50, 7), (53, 19), (54, 1), (55, 3), (58, 2), (65, 3), (69, 1), (90, 1), (108, 1), (185, 1), (206, 1), (215, 2), (281, 1), (285, 1), (310, 2), (337, 1), (353, 1), (365, 1), (373, 1), (414, 1), (415, 1), (418, 1), (428, 1), (435, 1), (456, 1), (516, 4), (531, 1), (587, 1), (632, 1), (703, 1), (711, 2), (775, 1), (903, 1), (913, 1), (1041, 1), (1131, 1), (1132, 1), (1159, 2), (1570, 1), (1573, 1), (1584, 1), (1600, 1), (1668, 1), (1797, 1), (1902, 2), (1992, 1), (2102, 1), (2163, 1), (2168, 1), (2543, 1), (2658, 1), (2686, 1), (2694, 1), (2864, 1), (3491, 1), (3540, 1), (3594, 1), (3986, 1), (4074, 1), (4182, 1), (4651, 1), (4782, 1), (4855, 1), (5204, 1), (5273, 1), (5393, 1), (5496, 1), (5548, 1), (5816, 1), (5921, 1), (6129, 1), (7237, 1), (7438, 1), (7485, 1), (8082, 1), (9655, 1), (10159, 1), (11243, 1), (12056, 1), (12159, 1), (12164, 1), (12165, 1), (12166, 1), (12167, 1), (12168, 1), (12169, 1), (12170, 1), (12171, 1), (12172, 1), (12173, 1), (12174, 1), (12175, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 1), (45, 2), (50, 4), (53, 9), (56, 1), (82, 1), (90, 1), (95, 1), (108, 1), (109, 1), (117, 1), (206, 1), (232, 1), (262, 1), (323, 1), (415, 1), (428, 2), (581, 1), (645, 2), (763, 3), (833, 1), (893, 1), (1070, 1), (1118, 1), (1342, 1), (1377, 1), (1747, 1), (1890, 1), (1902, 1), (3040, 1), (3041, 1), (3545, 1), (3649, 1), (3835, 1), (3849, 1), (4734, 1), (5247, 1), (5306, 1), (6055, 1), (6213, 1), (6786, 1), (8060, 1), (8225, 1), (10422, 1), (10555, 1), (12176, 1), (12177, 1), (12178, 1), (12179, 1), (12180, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (24, 1), (25, 1), (32, 1), (50, 1), (53, 4), (54, 1), (65, 1), (124, 2), (281, 1), (353, 1), (365, 1), (680, 1), (778, 1), (2253, 1), (2283, 1), (2601, 1), (2681, 1), (2729, 1), (3658, 1), (6470, 1), (8360, 1), (9947, 1), (12181, 1), (12182, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (24, 1), (25, 1), (50, 1), (53, 1), (187, 1), (256, 1), (268, 1), (450, 1), (903, 1), (970, 1), (1656, 1), (2315, 1), (3669, 1), (7184, 1), (7280, 1), (8535, 1), (9810, 1), (12183, 1), (12184, 1)], [(8, 1), (19, 2), (22, 1), (24, 1), (124, 1), (187, 1), (459, 1), (893, 1), (913, 1), (1248, 1), (2253, 1), (3438, 1), (3480, 1), (3591, 1), (4228, 1), (6633, 1), (7286, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 1), (32, 1), (53, 5), (54, 1), (55, 2), (65, 1), (71, 1), (90, 1), (92, 1), (109, 1), (166, 1), (373, 1), (419, 1), (680, 1), (744, 1), (752, 1), (753, 1), (754, 1), (827, 1), (1329, 1), (1385, 1), (1702, 1), (1764, 1), (1966, 1), (2543, 1), (4385, 1), (5081, 1), (5734, 1), (6019, 1), (6983, 1), (7043, 1), (7899, 1), (8037, 1), (8539, 1), (10752, 1), (12185, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (50, 1), (71, 1), (92, 1), (182, 1), (373, 1), (419, 1), (459, 1), (709, 1), (979, 1), (1270, 1), (1911, 1), (3480, 1), (3849, 1), (4213, 1), (8639, 1), (12186, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (45, 1), (50, 1), (53, 2), (64, 2), (74, 1), (77, 1), (248, 1), (307, 1), (328, 1), (600, 1), (697, 1), (752, 1), (810, 1), (1163, 1), (1342, 1), (1702, 1), (1824, 1), (2772, 1), (2878, 1), (2900, 1), (3036, 1), (3542, 1), (4957, 1), (6359, 1), (7286, 1)], [(19, 1), (117, 1), (232, 1), (247, 1), (351, 1), (680, 1), (688, 1), (778, 1), (1458, 1), (3786, 1)], [(1178, 1), (7342, 1)], [(18, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 1), (55, 1), (64, 1), (65, 1), (90, 1), (186, 1), (233, 1), (256, 1), (337, 1), (347, 1), (392, 1), (414, 1), (415, 1), (418, 1), (420, 1), (434, 1), (459, 1), (516, 1), (632, 1), (711, 1), (913, 1), (979, 1), (1129, 1), (1178, 1), (1352, 1), (2185, 1), (3083, 1), (3670, 1), (4782, 1), (4941, 1), (7286, 1), (7363, 1), (8038, 1), (12031, 1), (12187, 1), (12188, 1), (12189, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (45, 1), (75, 1), (704, 1), (2259, 1), (3590, 1), (3614, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 1), (31, 2), (50, 4), (53, 7), (54, 1), (55, 1), (82, 1), (90, 1), (91, 1), (215, 1), (261, 1), (269, 1), (278, 1), (293, 1), (347, 1), (373, 1), (414, 1), (450, 2), (457, 1), (505, 1), (531, 1), (688, 1), (702, 1), (710, 1), (711, 2), (897, 1), (983, 1), (1259, 1), (1570, 1), (1572, 1), (1644, 1), (1824, 1), (2030, 1), (2117, 1), (3709, 1), (4012, 1), (4289, 1), (5704, 1), (7208, 1), (7472, 1), (9617, 1), (12159, 1), (12190, 1), (12191, 1), (12192, 1), (12193, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 4), (54, 1), (92, 1), (373, 1), (434, 1), (435, 1), (516, 1), (1255, 1), (1702, 1), (3467, 1), (4213, 1), (4255, 1), (5265, 1), (7912, 1), (11566, 1), (12123, 1), (12194, 1), (12195, 1)], [(8, 1), (45, 1), (64, 1), (117, 1), (232, 1), (658, 1), (2732, 1)], [(19, 1), (20, 2), (30, 1), (58, 1), (691, 1), (1178, 1), (5902, 2)], [(8, 1), (2900, 1), (7286, 1)], [(8, 1), (22, 1), (50, 2), (53, 2), (54, 1), (58, 1), (85, 1), (126, 1), (373, 1), (1485, 1), (2734, 1), (3025, 1), (3614, 1), (3709, 1), (6116, 1), (11981, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (22, 3), (25, 2), (31, 1), (37, 1), (50, 1), (53, 2), (109, 1), (186, 1), (269, 1), (373, 1), (414, 1), (426, 1), (434, 1), (516, 1), (531, 2), (707, 1), (752, 1), (903, 1), (1071, 1), (1395, 1), (1462, 1), (1528, 1), (1529, 1), (1901, 1), (2070, 1), (2088, 1), (2157, 1), (2163, 1), (2888, 1), (3369, 1), (5018, 1), (7280, 1), (7446, 1), (7875, 1), (7881, 1), (11745, 1), (12196, 1), (12197, 1), (12198, 1)], [(8, 1), (24, 1), (50, 1), (53, 2), (65, 1), (215, 1), (428, 1), (459, 2), (711, 1), (778, 1), (1350, 1), (1506, 1), (2469, 1), (2985, 1), (6359, 1), (12199, 1), (12200, 1), (12201, 1), (12202, 1), (12203, 1)], [(7, 1), (8, 1), (20, 4), (22, 1), (25, 2), (37, 1), (53, 2), (95, 2), (329, 1), (347, 1), (2259, 1), (2734, 1), (3475, 1), (3669, 1), (5385, 1), (9431, 1), (11127, 1)], [(8, 1), (20, 1), (53, 1), (54, 1), (373, 1), (1241, 1), (2117, 1), (3419, 1), (10713, 1), (12204, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (53, 2), (58, 1), (84, 1), (91, 1), (186, 1), (419, 1), (626, 1), (705, 1), (1122, 1), (2392, 1), (3369, 1), (3537, 1), (4575, 1), (10752, 1), (11899, 1), (11958, 1), (12205, 1)], [(8, 1), (18, 1), (19, 3), (20, 2), (25, 1), (31, 1), (50, 1), (53, 5), (84, 2), (90, 1), (109, 1), (186, 2), (197, 1), (261, 1), (293, 1), (351, 1), (365, 1), (373, 1), (419, 1), (434, 1), (583, 1), (680, 1), (903, 1), (1227, 1), (1649, 1), (2239, 1), (2795, 1), (3100, 1), (4963, 1), (5375, 1), (5496, 1), (5717, 1), (5839, 1), (7396, 1), (8638, 1)], [(18, 2), (19, 1), (20, 5), (22, 3), (24, 1), (25, 1), (31, 2), (50, 1), (53, 3), (97, 1), (206, 1), (247, 1), (281, 1), (329, 1), (419, 1), (434, 1), (435, 1), (450, 1), (459, 1), (516, 1), (693, 1), (754, 1), (778, 1), (983, 1), (999, 1), (1255, 1), (2985, 1), (3574, 1), (4392, 1), (5266, 1), (5728, 1), (5804, 1), (6359, 1), (6794, 1), (10251, 1), (10958, 1), (12206, 1), (12207, 1), (12208, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (31, 1), (50, 1), (53, 3), (90, 1), (215, 2), (240, 1), (310, 1), (359, 1), (415, 1), (419, 1), (834, 1), (913, 2), (1590, 1), (1823, 1), (2534, 1), (2740, 1), (3476, 1), (6309, 1), (9620, 1), (11077, 1), (11243, 1), (12209, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (50, 2), (53, 3), (55, 1), (71, 1), (166, 1), (182, 1), (268, 1), (709, 1), (1224, 1), (1602, 1), (2306, 1), (2601, 1), (3467, 1), (4213, 1), (4387, 1), (4530, 1), (8035, 1), (10827, 1)], [(8, 1), (19, 1), (24, 1), (37, 1), (53, 1), (85, 1), (365, 1), (373, 1), (3748, 1), (6983, 1), (9444, 1), (12210, 1)], [(8, 1), (20, 1), (24, 1), (32, 1), (50, 1), (53, 1), (65, 1), (215, 1), (459, 1), (505, 1), (2138, 1), (6862, 1), (8306, 1), (10752, 1), (12211, 1), (12212, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (31, 1), (50, 2), (53, 5), (58, 2), (65, 1), (185, 1), (215, 1), (228, 1), (241, 1), (337, 1), (414, 1), (897, 1), (2427, 1), (3536, 1), (3614, 1), (3685, 1), (3701, 1), (4200, 1), (6765, 1), (7286, 1), (7400, 1), (9774, 1), (10982, 1), (11899, 1), (12094, 1), (12213, 1), (12214, 1), (12215, 1), (12216, 1), (12217, 1), (12218, 1), (12219, 1)], [(8, 1), (20, 3), (29, 1), (31, 1), (50, 1), (53, 1), (90, 2), (173, 1), (186, 1), (351, 1), (897, 1), (1227, 1), (2357, 1), (2541, 1), (3268, 1), (12220, 1), (12221, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 2), (53, 2), (173, 1), (186, 1), (351, 1), (645, 1), (654, 1), (897, 1), (1227, 1), (2306, 1), (2541, 1), (2652, 1), (3701, 1), (4322, 1), (6908, 1), (10955, 1), (10984, 1)], [(8, 1), (20, 4), (25, 1), (50, 1), (53, 1), (84, 1), (92, 1), (111, 1), (186, 1), (215, 1), (261, 1), (373, 1), (414, 1), (419, 1), (426, 1), (709, 1), (2275, 1), (5721, 1), (7205, 1), (8580, 1), (11667, 1), (12222, 1), (12223, 1)], [(8, 1), (20, 1), (24, 1), (31, 1), (50, 1), (53, 4), (259, 1), (365, 1), (373, 1), (777, 1), (1702, 1), (2324, 1), (2795, 1), (3860, 1), (4213, 1), (5986, 1), (7400, 1)], [(8, 1), (19, 2), (20, 1), (45, 3), (75, 1), (704, 1), (1524, 1), (2211, 1), (3614, 1), (4609, 1), (12224, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (25, 1), (37, 1), (50, 1), (53, 1), (215, 1), (460, 1), (751, 1), (1590, 1), (2030, 1), (2423, 1), (2657, 1), (2945, 1), (4468, 1), (4694, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (24, 1), (25, 1), (53, 1), (426, 1), (459, 1), (692, 1), (1080, 1), (2336, 1), (3709, 1), (5731, 1), (5960, 1), (6332, 2), (9833, 1), (12225, 1)], [(8, 1), (18, 1), (20, 2), (37, 1), (50, 1), (53, 2), (82, 1), (124, 1), (193, 1), (215, 1), (239, 1), (281, 1), (289, 1), (310, 1), (365, 1), (388, 1), (406, 1), (419, 1), (428, 2), (434, 1), (709, 1), (833, 1), (970, 1), (1041, 1), (1245, 1), (2344, 1), (3590, 1), (5204, 1), (12226, 1), (12227, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 3), (50, 1), (53, 5), (54, 1), (58, 4), (108, 1), (117, 1), (124, 1), (182, 1), (186, 1), (193, 1), (215, 1), (232, 1), (268, 1), (269, 1), (373, 1), (414, 1), (419, 1), (426, 1), (435, 1), (516, 1), (587, 1), (709, 1), (726, 1), (777, 1), (897, 1), (1057, 1), (1071, 1), (1570, 1), (1839, 1), (2070, 1), (2163, 1), (2469, 1), (2682, 1), (4282, 1), (5142, 1), (6165, 1), (12020, 1), (12062, 1), (12228, 1), (12229, 1)], [(7, 1), (8, 1), (20, 2), (25, 2), (53, 1), (58, 2), (108, 1), (186, 1), (193, 1), (305, 1), (414, 1), (419, 1), (459, 2), (518, 1), (771, 1), (1100, 1), (1363, 1), (2028, 1), (2344, 1), (2950, 1), (5656, 1), (6794, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (31, 1), (53, 3), (74, 1), (109, 1), (347, 1), (415, 1), (426, 1), (450, 1), (688, 1), (703, 1), (709, 1), (913, 1), (1342, 1), (1510, 1), (2178, 1), (6252, 1), (6359, 1), (8336, 1)], [(8, 1), (18, 1), (20, 2), (24, 1), (50, 1), (54, 1), (58, 1), (84, 1), (111, 1), (186, 1), (256, 1), (281, 1), (347, 1), (434, 1), (448, 1), (504, 1), (531, 1), (601, 1), (709, 1), (1379, 1), (1702, 1), (1932, 1), (2365, 1), (5942, 1), (7490, 1), (7839, 1), (8343, 1), (9774, 1), (11987, 1), (12230, 1)], [(1544, 1), (12231, 1)], [(8, 1), (24, 1), (9034, 1)], [(8, 1), (18, 2), (20, 2), (25, 2), (31, 1), (45, 1), (52, 1), (53, 2), (77, 1), (90, 1), (108, 1), (117, 1), (124, 1), (173, 1), (185, 2), (193, 1), (214, 1), (229, 1), (232, 1), (256, 2), (351, 1), (419, 1), (420, 1), (505, 1), (526, 1), (587, 1), (645, 1), (833, 1), (1102, 1), (2507, 1), (2744, 1), (2847, 1), (2960, 1), (2985, 1), (3539, 1), (3633, 1), (3922, 2), (4805, 1), (6112, 1), (6234, 1), (6464, 1), (7202, 1), (7573, 1), (7887, 1), (9833, 1), (12232, 1), (12233, 1)], [(8, 1), (20, 2), (25, 1), (527, 2), (675, 1), (1529, 1), (2387, 1), (3832, 1), (12234, 1), (12235, 1)], [(8, 1), (20, 5), (22, 1), (25, 4), (36, 1), (37, 3), (50, 1), (215, 1), (288, 1), (310, 2), (487, 1), (531, 1), (812, 1), (1594, 1), (2088, 1), (2320, 1), (2681, 1), (3762, 1), (5017, 1), (6612, 1), (10307, 1), (11132, 1), (12236, 1), (12237, 1), (12238, 1), (12239, 1), (12240, 1), (12241, 1), (12242, 1), (12243, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 1), (25, 5), (30, 1), (31, 1), (37, 1), (50, 2), (51, 1), (53, 2), (65, 1), (108, 1), (206, 1), (215, 1), (331, 1), (505, 1), (632, 1), (983, 1), (1308, 1), (1392, 1), (1470, 1), (2095, 1), (2132, 1), (2178, 1), (3121, 1), (3594, 1), (4500, 1), (7472, 1), (8875, 1), (10548, 1), (12244, 1), (12245, 1), (12246, 1), (12247, 1), (12248, 1), (12249, 1), (12250, 1), (12251, 1), (12252, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (22, 1), (23, 1), (30, 1), (31, 2), (32, 1), (45, 1), (50, 5), (53, 2), (58, 1), (90, 1), (96, 1), (172, 1), (242, 1), (256, 1), (293, 1), (307, 1), (387, 1), (407, 1), (448, 1), (452, 1), (601, 1), (645, 1), (658, 1), (675, 1), (777, 1), (813, 1), (903, 1), (1308, 1), (1342, 1), (1596, 1), (1664, 1), (1731, 1), (1909, 1), (2652, 1), (3036, 2), (3657, 1), (3922, 1), (5052, 1), (7056, 1), (7603, 1), (8352, 1), (12253, 1), (12254, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (25, 3), (32, 1), (50, 3), (53, 3), (55, 1), (58, 1), (77, 1), (185, 2), (334, 1), (351, 1), (516, 1), (527, 1), (756, 1), (813, 1), (1041, 1), (1081, 1), (1310, 1), (1449, 1), (1488, 1), (2096, 1), (2126, 1), (2162, 1), (2985, 1), (5258, 1), (5304, 1), (6129, 1), (9682, 1), (10515, 1), (12255, 1)], [(19, 2), (20, 6), (22, 1), (23, 2), (25, 1), (31, 1), (50, 1), (53, 3), (54, 1), (64, 2), (185, 1), (233, 1), (347, 1), (387, 1), (420, 1), (506, 1), (645, 1), (680, 1), (708, 1), (711, 1), (813, 1), (946, 1), (1149, 1), (1163, 1), (1580, 2), (1702, 1), (1747, 1), (1774, 1), (2064, 1), (2241, 1), (2344, 1), (2519, 1), (3360, 1), (3614, 2), (3686, 1), (3756, 1), (5288, 1), (12080, 1)], [(8, 1), (19, 1), (20, 2), (90, 1), (92, 1), (173, 1), (289, 1), (487, 1), (506, 2), (516, 1), (744, 1), (792, 1), (1102, 1), (1731, 1), (1774, 1), (3200, 1), (3352, 1), (3756, 1), (6951, 1), (10081, 1), (11361, 1)], [(7, 1), (8, 4), (19, 1), (20, 8), (22, 1), (23, 3), (25, 1), (31, 2), (32, 1), (37, 1), (40, 1), (45, 2), (50, 1), (53, 2), (54, 1), (64, 2), (65, 1), (77, 1), (84, 1), (90, 2), (99, 2), (172, 1), (186, 1), (233, 1), (273, 1), (323, 1), (342, 1), (407, 1), (537, 1), (1044, 1), (1163, 1), (1195, 3), (1348, 1), (1471, 1), (1572, 1), (1574, 1), (1792, 1), (2030, 1), (2577, 1), (3118, 1), (3177, 1), (3360, 1), (3634, 1), (4716, 1), (4831, 1), (6512, 1), (7286, 1), (7295, 2), (9623, 1)], [(18, 3), (20, 1), (23, 1), (31, 1), (50, 1), (53, 1), (55, 1), (77, 1), (90, 1), (95, 1), (117, 1), (232, 1), (324, 1), (414, 1), (752, 1), (753, 1), (897, 1), (946, 1), (1764, 1), (2383, 1), (2442, 1), (2998, 1), (3413, 1), (6359, 1), (9160, 1), (12256, 1), (12257, 1)], [(8, 1), (64, 1), (7787, 1)], [(18, 2), (23, 1), (31, 1), (66, 1), (108, 1), (109, 1), (117, 1), (187, 1), (708, 1), (709, 1), (1585, 1), (2206, 1), (2207, 1), (3069, 1), (9172, 1), (12258, 1)], [(7, 1), (8, 2), (19, 1), (20, 3), (22, 1), (23, 2), (25, 1), (31, 1), (54, 1), (64, 2), (65, 1), (82, 1), (99, 1), (206, 1), (214, 1), (233, 1), (242, 1), (323, 1), (487, 1), (688, 1), (884, 1), (1163, 1), (1195, 1), (1574, 1), (1582, 1), (2965, 1), (3758, 1), (7411, 1), (8075, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (45, 1), (58, 1), (65, 1), (77, 1), (99, 1), (108, 1), (117, 1), (185, 1), (229, 1), (232, 1), (428, 1), (490, 1), (506, 1), (531, 2), (626, 2), (693, 1), (946, 1), (983, 1), (1195, 1), (1377, 1), (2145, 1), (3189, 1), (3841, 1), (4073, 1), (4547, 1), (7411, 1), (8267, 1), (8726, 1), (10422, 1), (12017, 1)], [(64, 1), (90, 1), (99, 1), (117, 1), (759, 1), (946, 1), (2540, 1), (8797, 1), (12259, 1)], [(8, 1), (233, 1), (7411, 1)], [(8, 1), (20, 1), (53, 1), (64, 1), (90, 1), (117, 1), (232, 1), (1778, 1), (3841, 1)], [(8, 1), (18, 2), (19, 2), (23, 1), (34, 1), (95, 1), (117, 1), (186, 1), (232, 1), (373, 1), (516, 1), (680, 1), (743, 1), (1506, 1), (2415, 1), (2977, 1), (4547, 1)], [(20, 1), (247, 1), (2379, 1), (2384, 1)], [(20, 1), (53, 1), (90, 1), (91, 1), (95, 1), (108, 1), (285, 1), (691, 1), (1178, 1), (1594, 1), (12260, 2)], [(8, 1), (18, 1), (20, 2), (23, 1), (50, 1), (53, 1), (109, 1), (195, 1), (325, 1), (347, 1), (897, 1), (1248, 1), (1847, 1), (3700, 1), (11406, 1), (12261, 1), (12262, 1)], [(8, 1), (18, 4), (19, 6), (20, 9), (21, 1), (22, 4), (23, 6), (25, 5), (30, 1), (31, 6), (37, 1), (45, 4), (50, 7), (53, 12), (54, 3), (55, 1), (69, 1), (71, 1), (77, 1), (84, 1), (90, 6), (95, 2), (96, 1), (108, 1), (117, 3), (167, 1), (185, 2), (190, 1), (193, 2), (203, 1), (215, 1), (229, 2), (232, 3), (236, 1), (237, 1), (240, 1), (273, 1), (281, 1), (287, 1), (323, 2), (329, 1), (334, 1), (338, 1), (373, 3), (392, 1), (414, 3), (428, 1), (449, 1), (452, 1), (459, 1), (487, 1), (505, 2), (601, 1), (680, 1), (756, 1), (795, 1), (885, 1), (1180, 1), (1287, 1), (1354, 1), (1362, 1), (1416, 1), (1570, 1), (1580, 2), (1597, 2), (1602, 1), (1764, 1), (1931, 1), (2049, 5), (2239, 1), (2240, 1), (2253, 1), (2440, 1), (3077, 1), (3349, 1), (4073, 1), (4299, 1), (4659, 1), (4831, 1), (5159, 1), (5237, 1), (5760, 1), (6231, 1), (6359, 1), (6364, 1), (6845, 1), (7286, 3), (7895, 1), (8962, 1), (10515, 1), (10550, 1), (10664, 1), (10881, 1), (12245, 1), (12263, 1), (12264, 1), (12265, 1), (12266, 1), (12267, 1), (12268, 1), (12269, 1), (12270, 1), (12271, 1), (12272, 1), (12273, 1), (12274, 1)], [(20, 4), (23, 1), (25, 1), (64, 2), (66, 1), (71, 1), (99, 1), (233, 1), (292, 1), (702, 1), (1163, 1), (1580, 1), (2543, 1), (3614, 1), (12275, 1), (12276, 1), (12277, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (37, 1), (50, 2), (53, 1), (56, 1), (71, 1), (90, 2), (122, 1), (124, 1), (193, 1), (214, 1), (256, 1), (268, 1), (328, 1), (450, 1), (600, 1), (743, 1), (830, 1), (1115, 1), (1470, 1), (2076, 1), (2344, 1), (2847, 1), (12278, 1), (12279, 1), (12280, 1), (12281, 1), (12282, 1)], [(8, 1), (23, 1), (31, 1), (53, 2), (54, 1), (90, 1), (106, 1), (347, 1), (387, 1), (505, 1), (922, 1), (1342, 1), (1580, 1), (3181, 1), (9736, 1), (11983, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (29, 1), (37, 1), (53, 3), (54, 2), (109, 1), (281, 1), (386, 1), (1324, 1), (1556, 1), (1580, 1), (2163, 1), (3331, 1), (3359, 1), (3415, 1), (4009, 1), (4296, 1), (12283, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (32, 1), (37, 1), (45, 1), (50, 1), (53, 3), (71, 2), (90, 1), (111, 1), (195, 1), (215, 3), (228, 1), (285, 1), (293, 1), (337, 1), (412, 2), (601, 1), (743, 1), (1903, 1), (2178, 1), (2508, 1), (2672, 1), (3476, 1), (3702, 1), (3752, 1), (3754, 1), (4074, 1), (5524, 1), (12284, 1)], [(8, 1), (22, 1), (23, 1), (25, 1), (31, 1), (186, 1), (459, 1), (983, 1), (1149, 1), (1580, 2), (2995, 1), (4851, 1), (5849, 1), (12285, 1)], [(8, 1), (18, 3), (20, 1), (23, 1), (25, 1), (50, 1), (53, 1), (55, 1), (506, 1), (516, 1), (1008, 1), (1122, 1), (1972, 1), (2304, 1), (2397, 1), (2453, 1), (2672, 1), (3085, 1), (3125, 1), (4883, 1), (6786, 1), (8308, 1), (12286, 1), (12287, 1)], [(8, 1), (18, 1), (20, 5), (23, 1), (25, 2), (50, 1), (53, 3), (108, 1), (112, 1), (167, 1), (186, 1), (193, 1), (226, 1), (236, 1), (346, 1), (378, 1), (897, 1), (983, 1), (1567, 1), (1580, 1), (1717, 1), (3124, 1), (3197, 1), (3361, 1), (6526, 1), (6798, 1), (12288, 1), (12289, 1)], [(1544, 1), (12290, 1)], [(8, 1), (25, 1), (117, 1), (232, 1), (6315, 1), (7409, 1), (12291, 1)], [(8, 1), (11980, 1)], [(20, 1), (58, 1), (64, 1), (172, 1), (236, 1), (285, 1), (1178, 1), (2010, 1), (7411, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (23, 1), (31, 1), (53, 1), (55, 1), (64, 1), (65, 1), (82, 1), (99, 1), (256, 1), (269, 1), (285, 1), (347, 1), (373, 1), (504, 1), (506, 1), (1580, 1), (1822, 1), (2234, 1), (2517, 1), (2925, 1), (3064, 1), (3638, 1), (6375, 1), (7295, 1), (10086, 1), (12292, 1), (12293, 1)], [(247, 1), (1583, 1)], [(18, 1), (51, 1), (117, 1), (173, 1), (232, 1), (645, 1), (1178, 1), (2553, 1)], [(8, 1), (20, 2), (23, 1), (37, 1), (58, 1), (64, 1), (90, 1), (117, 1), (233, 1), (293, 1), (337, 1), (342, 1), (414, 1), (759, 1), (1163, 1), (1607, 1), (1907, 1), (2847, 1), (7411, 1)], [(8, 1), (18, 1), (20, 2), (32, 1), (45, 1), (53, 1), (58, 1), (64, 1), (71, 1), (193, 1), (285, 1), (387, 1), (459, 1), (708, 1), (869, 1), (1478, 1), (3638, 1), (10452, 1)], [(20, 2), (22, 1), (25, 1), (30, 1), (50, 1), (53, 1), (66, 1), (99, 1), (173, 1), (225, 1), (256, 1), (269, 1), (285, 1), (415, 1), (658, 1), (1596, 1), (1656, 1), (1831, 1), (2178, 1), (3034, 1), (12294, 1)], [(20, 1), (22, 1), (23, 2), (30, 1), (64, 1), (66, 1), (90, 1), (117, 1), (645, 1), (726, 1), (759, 1), (812, 1), (884, 1), (1580, 1), (1824, 1), (1907, 1), (3034, 1), (12295, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (31, 1), (45, 1), (50, 3), (53, 5), (58, 2), (65, 1), (77, 1), (90, 1), (95, 1), (108, 1), (217, 1), (225, 1), (421, 1), (490, 1), (505, 2), (936, 1), (970, 1), (1115, 1), (1325, 1), (1488, 1), (2049, 1), (2096, 1), (2162, 1), (2253, 1), (3756, 1), (4179, 1), (6538, 1), (6867, 1), (7148, 1), (9290, 1), (12296, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (45, 1), (50, 2), (53, 2), (55, 1), (71, 1), (90, 1), (117, 1), (232, 1), (241, 1), (261, 1), (277, 1), (428, 1), (450, 1), (490, 1), (505, 1), (3062, 1), (3400, 1), (3756, 1), (4442, 1), (6867, 1), (7546, 1), (9702, 1), (12297, 1), (12298, 1)], [(8, 1), (18, 1), (53, 1), (55, 1), (301, 1), (4145, 1), (5065, 1), (6315, 1), (6384, 1), (11535, 1)], [(18, 3), (19, 1), (20, 2), (22, 3), (25, 1), (31, 2), (37, 1), (50, 2), (53, 2), (55, 1), (58, 1), (65, 1), (77, 3), (90, 3), (95, 1), (108, 1), (161, 1), (187, 1), (197, 1), (206, 1), (256, 1), (334, 1), (373, 1), (418, 1), (480, 1), (645, 2), (897, 1), (1416, 1), (1487, 2), (1509, 1), (1714, 1), (1766, 1), (2029, 1), (2049, 1), (2120, 1), (2491, 1), (2744, 1), (2785, 1), (3431, 1), (4033, 1), (4179, 1), (5237, 1), (7189, 1), (7415, 1), (7472, 1), (8059, 1), (9187, 1), (12244, 1), (12299, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 2), (65, 1), (82, 1), (172, 1), (203, 1), (209, 1), (236, 1), (387, 1), (602, 1), (1909, 1), (4480, 1), (5597, 1), (6129, 1)], [(8, 1), (18, 3), (19, 3), (20, 4), (21, 1), (25, 1), (30, 1), (31, 3), (37, 1), (45, 3), (50, 6), (53, 7), (55, 1), (71, 1), (90, 3), (108, 3), (117, 1), (172, 1), (173, 1), (193, 1), (215, 2), (232, 1), (240, 2), (285, 1), (311, 1), (342, 1), (373, 3), (526, 1), (600, 1), (707, 1), (744, 1), (767, 1), (812, 1), (827, 1), (884, 1), (922, 1), (1481, 1), (1483, 1), (1506, 1), (1587, 1), (1644, 2), (1777, 1), (1824, 1), (1904, 2), (1997, 1), (2188, 1), (2253, 1), (2373, 1), (2648, 1), (2731, 1), (2872, 1), (3102, 1), (3138, 1), (3171, 1), (3591, 1), (4785, 1), (5597, 1), (6129, 1), (6315, 3), (6558, 1), (7415, 1), (7854, 1), (7880, 1), (8094, 1), (9534, 1), (10662, 1), (11450, 1), (12300, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (45, 1), (82, 1), (90, 1), (91, 1), (109, 1), (117, 1), (161, 1), (173, 2), (192, 1), (232, 1), (347, 2), (373, 1), (414, 1), (697, 1), (706, 1), (1506, 1), (1784, 1), (1911, 1), (5583, 1), (12301, 1)], [(8, 1), (37, 1), (45, 1), (50, 1), (90, 1), (173, 1), (229, 1), (237, 1), (347, 1), (771, 1), (1196, 1), (3035, 1), (3828, 1), (12302, 1)], [(8, 1), (18, 3), (19, 3), (20, 14), (22, 4), (23, 1), (25, 7), (28, 1), (30, 1), (31, 11), (32, 1), (37, 3), (45, 4), (50, 7), (53, 22), (54, 4), (55, 3), (58, 5), (65, 2), (71, 2), (72, 1), (77, 2), (85, 3), (90, 1), (95, 1), (96, 1), (97, 1), (108, 3), (111, 2), (117, 3), (173, 2), (185, 2), (186, 1), (193, 2), (206, 1), (214, 1), (215, 2), (226, 1), (229, 1), (232, 3), (236, 1), (260, 1), (269, 1), (273, 1), (275, 1), (288, 1), (289, 1), (305, 1), (316, 1), (328, 1), (337, 2), (347, 3), (373, 3), (392, 1), (420, 5), (441, 1), (448, 1), (487, 1), (504, 1), (531, 1), (627, 1), (777, 1), (827, 1), (884, 4), (885, 1), (894, 1), (897, 1), (913, 1), (1102, 1), (1133, 2), (1196, 1), (1239, 1), (1276, 1), (1296, 1), (1328, 2), (1342, 2), (1354, 2), (1363, 1), (1377, 1), (1391, 1), (1498, 1), (1529, 1), (1541, 1), (1831, 2), (1974, 1), (2076, 1), (2127, 1), (2245, 1), (2272, 1), (2296, 1), (2334, 1), (2457, 1), (2694, 1), (2795, 1), (3079, 1), (3082, 1), (3121, 1), (3415, 1), (3480, 1), (3673, 1), (3685, 1), (3756, 1), (3879, 1), (3978, 1), (4657, 1), (5663, 1), (5682, 1), (6212, 1), (6315, 1), (7493, 1), (7644, 1), (7664, 1), (7718, 1), (7874, 1), (7918, 1), (8791, 1), (9059, 1), (9387, 1), (11341, 1), (11405, 1), (11450, 1), (12248, 1), (12303, 1), (12304, 1), (12305, 2), (12306, 1), (12307, 1), (12308, 1), (12309, 1), (12310, 1), (12311, 1), (12312, 1), (12313, 1), (12314, 1), (12315, 1), (12316, 1), (12317, 1), (12318, 1), (12319, 1), (12320, 1), (12321, 1), (12322, 1), (12323, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 2), (22, 1), (31, 2), (45, 1), (50, 1), (53, 1), (55, 1), (69, 1), (71, 1), (90, 2), (108, 1), (173, 1), (185, 1), (203, 1), (239, 1), (301, 1), (347, 1), (381, 1), (896, 1), (1308, 1), (1597, 1), (1686, 1), (2017, 1), (2222, 1), (2253, 1), (3138, 1), (5544, 1), (6315, 1), (6695, 1), (7415, 1), (8685, 1), (12267, 1), (12324, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (53, 1), (90, 1), (117, 1), (161, 1), (215, 1), (232, 1), (268, 1), (301, 1), (373, 2), (744, 1), (792, 1), (827, 1), (1506, 1), (2764, 1), (4465, 1), (4720, 1), (5617, 1), (12325, 1), (12326, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (53, 1), (55, 1), (96, 1), (108, 1), (346, 1), (1324, 1), (1627, 2), (2202, 1), (5169, 1), (5271, 1), (5447, 1), (6661, 1), (12327, 1), (12328, 1), (12329, 1)], [(8, 1), (19, 2), (20, 8), (22, 2), (25, 7), (31, 1), (32, 1), (49, 1), (50, 4), (52, 1), (53, 8), (55, 1), (58, 1), (65, 2), (82, 2), (90, 1), (96, 1), (109, 1), (161, 1), (168, 1), (186, 3), (206, 1), (285, 1), (310, 1), (355, 1), (365, 1), (410, 1), (414, 1), (428, 1), (430, 1), (601, 1), (632, 1), (645, 1), (670, 1), (702, 1), (705, 1), (708, 1), (744, 2), (760, 1), (894, 1), (897, 1), (904, 1), (1325, 1), (1377, 1), (1903, 1), (1958, 1), (2095, 1), (2252, 1), (2370, 1), (2753, 1), (2762, 1), (2847, 1), (3041, 1), (3756, 1), (4482, 1), (4729, 1), (5128, 1), (5321, 1), (5794, 1), (6149, 1), (6152, 1), (6248, 1), (6835, 1), (7022, 1), (7160, 1), (8081, 1), (9131, 1), (9149, 1), (9916, 1), (10752, 1), (11673, 1), (12323, 1), (12330, 1), (12331, 1), (12332, 1), (12333, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (37, 1), (53, 3), (58, 3), (63, 1), (65, 1), (71, 1), (77, 1), (90, 2), (91, 1), (109, 1), (185, 1), (215, 2), (301, 1), (399, 1), (450, 1), (459, 1), (526, 1), (830, 1), (894, 1), (1102, 1), (1506, 1), (1529, 1), (1627, 1), (1702, 1), (1824, 1), (2184, 1), (2344, 1), (2691, 1), (2945, 1), (3254, 1), (4525, 1), (5169, 1), (5271, 1), (10757, 1), (11980, 1), (12327, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 3), (22, 3), (30, 1), (31, 1), (37, 1), (50, 2), (55, 1), (56, 1), (58, 1), (65, 1), (71, 1), (96, 1), (117, 1), (172, 2), (173, 2), (185, 2), (215, 1), (217, 1), (232, 1), (256, 1), (260, 1), (293, 1), (426, 1), (448, 1), (516, 1), (601, 1), (777, 1), (813, 2), (1348, 1), (1350, 1), (1377, 1), (1393, 1), (1627, 1), (1644, 1), (1779, 1), (2095, 1), (2279, 1), (3056, 1), (4137, 1), (4560, 1), (4975, 1), (5467, 1), (5583, 1), (6106, 1), (6315, 1), (7874, 1), (8417, 1), (12334, 1), (12335, 1)], [(8, 1), (269, 1), (301, 1), (531, 1), (1010, 1), (1072, 1), (3330, 1), (8004, 1), (11980, 1), (12336, 1)], [(8, 1), (18, 2), (19, 3), (20, 16), (21, 1), (22, 2), (25, 6), (31, 4), (32, 1), (34, 1), (36, 1), (37, 1), (45, 1), (50, 7), (53, 15), (54, 2), (55, 1), (90, 1), (96, 1), (97, 1), (117, 1), (168, 1), (173, 1), (206, 1), (215, 2), (223, 1), (232, 1), (256, 2), (260, 1), (283, 1), (289, 1), (333, 1), (399, 1), (412, 1), (415, 1), (420, 2), (426, 1), (441, 1), (450, 1), (459, 1), (516, 1), (600, 2), (620, 1), (645, 1), (711, 1), (744, 1), (763, 1), (834, 1), (897, 1), (1102, 1), (1115, 1), (1129, 1), (1308, 1), (1613, 1), (1651, 1), (1702, 1), (1738, 1), (2149, 1), (2647, 1), (2785, 1), (2862, 1), (3426, 1), (3506, 1), (3728, 1), (3804, 1), (3813, 1), (3959, 1), (4086, 1), (4153, 1), (4525, 1), (4688, 1), (4965, 1), (5049, 1), (5199, 1), (5244, 1), (5271, 1), (5527, 1), (5635, 1), (6312, 1), (6436, 1), (6990, 1), (8112, 1), (8189, 1), (8200, 1), (8267, 1), (8397, 1), (9018, 1), (9400, 1), (9806, 1), (9833, 1), (9925, 1), (11915, 1), (12337, 1), (12338, 1), (12339, 1), (12340, 1), (12341, 1), (12342, 1), (12343, 1), (12344, 1), (12345, 1), (12346, 1), (12347, 1), (12348, 1), (12349, 1)], [(1544, 1), (12350, 1)], [(8, 1), (24, 1), (65, 1), (7960, 1), (8905, 1)], [(8, 2), (10, 1), (20, 6), (22, 4), (25, 2), (50, 1), (53, 7), (65, 1), (72, 1), (90, 1), (109, 1), (293, 1), (347, 1), (382, 1), (404, 1), (414, 1), (531, 1), (708, 3), (752, 1), (782, 1), (827, 1), (1487, 1), (1557, 1), (1600, 1), (2019, 1), (2126, 1), (2206, 1), (2694, 1), (3726, 1), (3754, 1), (4264, 1), (4575, 1), (5738, 1), (6129, 1), (6752, 1), (8178, 1), (8343, 1), (8747, 1), (10074, 1), (10835, 2), (12351, 1), (12352, 1), (12353, 1), (12354, 1), (12355, 1), (12356, 1), (12357, 1), (12358, 1), (12359, 1), (12360, 1)], [(7, 2), (8, 1), (18, 4), (20, 5), (22, 2), (25, 2), (31, 1), (37, 1), (50, 2), (53, 3), (54, 2), (82, 1), (90, 1), (92, 1), (96, 1), (122, 1), (182, 1), (193, 1), (206, 1), (269, 1), (353, 1), (414, 1), (420, 1), (435, 1), (450, 1), (516, 1), (744, 1), (778, 1), (903, 1), (1223, 1), (1224, 2), (1328, 1), (1348, 1), (1529, 1), (1689, 1), (1855, 1), (2163, 1), (2428, 1), (3103, 1), (3988, 1), (4652, 1), (5420, 1), (5487, 1), (7506, 1), (9621, 1), (10285, 1), (11377, 1), (12186, 1), (12361, 1), (12362, 1), (12363, 2)], [(7, 1), (8, 1), (20, 1), (22, 1), (25, 1), (53, 2), (58, 1), (109, 1), (186, 1), (365, 1), (448, 1), (903, 1), (2304, 1), (2689, 1), (4965, 1), (6090, 1), (9529, 1), (9842, 1), (11010, 1), (12364, 1)], [(8, 1), (185, 1), (763, 1), (2428, 1), (4551, 1), (11980, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (25, 1), (45, 1), (50, 1), (53, 2), (54, 1), (55, 1), (58, 2), (65, 2), (85, 1), (206, 1), (215, 1), (217, 1), (286, 1), (317, 1), (328, 1), (347, 1), (361, 1), (504, 1), (706, 1), (800, 1), (922, 1), (1042, 1), (1170, 1), (1223, 1), (1910, 1), (9608, 1), (9613, 1), (11416, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (31, 1), (50, 1), (82, 1), (91, 1), (108, 1), (182, 1), (187, 1), (269, 1), (285, 1), (331, 1), (459, 1), (828, 1), (909, 1), (1102, 1), (1224, 1), (1824, 1), (3413, 1), (5917, 1), (7892, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 1), (45, 1), (51, 1), (53, 2), (55, 1), (96, 1), (185, 1), (193, 1), (269, 1), (306, 1), (342, 1), (744, 1), (830, 1), (897, 1), (1665, 1), (2705, 1), (2820, 1), (3014, 1), (3830, 1), (4214, 1), (4965, 1), (8112, 1), (8225, 1), (11018, 1), (11936, 1), (11974, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 1), (31, 1), (37, 1), (45, 3), (53, 2), (54, 1), (65, 1), (90, 1), (108, 1), (185, 1), (197, 1), (215, 1), (301, 1), (328, 1), (337, 2), (347, 1), (420, 2), (448, 1), (504, 1), (654, 1), (704, 1), (824, 1), (1090, 1), (1506, 1), (1686, 1), (1698, 1), (1910, 1), (2030, 1), (2034, 1), (2211, 1), (2428, 1), (3114, 1), (3141, 1), (3283, 1), (3424, 1), (3709, 1), (3726, 1), (3730, 1), (3988, 1), (4965, 1), (5200, 1), (6309, 1), (6915, 1), (9874, 1), (12363, 1), (12365, 1), (12366, 1), (12367, 1), (12368, 1)], [(64, 1), (351, 1), (1178, 1), (1321, 1), (1322, 1)], [(8, 1), (20, 1), (22, 2), (50, 1), (53, 1), (82, 1), (124, 1), (166, 1), (172, 1), (268, 1), (711, 2), (1066, 1), (1702, 1), (1824, 1), (1964, 1), (2133, 1), (3331, 1), (5764, 1), (6835, 1), (10584, 1), (12369, 1), (12370, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (53, 1), (54, 2), (58, 1), (69, 1), (90, 1), (197, 1), (286, 1), (293, 2), (407, 1), (414, 1), (1102, 1), (1363, 1), (1628, 1), (1824, 1), (2361, 1), (2823, 1), (3020, 1), (7892, 1), (10718, 1), (10768, 1), (12371, 1), (12372, 1), (12373, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (53, 2), (55, 1), (65, 1), (71, 1), (117, 1), (197, 1), (632, 1), (753, 1), (759, 1), (2064, 1), (2185, 1), (3867, 1), (4519, 1), (5921, 1), (5986, 1), (6315, 1), (7405, 1), (10478, 1), (12374, 1), (12375, 1), (12376, 1)], [(8, 1), (24, 1), (31, 1), (53, 2), (88, 1), (203, 1), (454, 1), (645, 1), (709, 1), (4533, 1)], [(8, 1), (20, 2), (53, 2), (55, 1), (65, 2), (186, 1), (197, 1), (307, 1), (310, 1), (317, 1), (706, 1), (754, 1), (2157, 1), (2163, 1), (2239, 1), (3746, 1), (7587, 1)], [(8, 1), (19, 5), (20, 6), (21, 1), (22, 1), (24, 1), (31, 1), (50, 2), (53, 5), (215, 1), (228, 1), (262, 1), (269, 1), (293, 1), (353, 1), (415, 1), (418, 1), (448, 1), (459, 1), (504, 1), (516, 1), (704, 1), (1001, 1), (1010, 1), (1071, 1), (1159, 1), (1322, 1), (1385, 1), (1529, 1), (1702, 1), (2064, 1), (2087, 1), (2543, 1), (2613, 1), (2621, 1), (2847, 1), (5031, 1), (5133, 1), (5664, 1), (5921, 1), (7279, 1), (8253, 1), (8791, 1), (9608, 1), (12055, 1), (12171, 1), (12377, 1), (12378, 1), (12379, 1), (12380, 1), (12381, 1), (12382, 1)], [(8, 1), (20, 1), (30, 1), (31, 1), (90, 2), (99, 2), (117, 1), (172, 1), (232, 1), (236, 1), (285, 1), (331, 1), (347, 1), (418, 1), (441, 1), (459, 1), (487, 1), (1224, 1), (1478, 1), (2977, 1), (5059, 1), (6315, 1), (12383, 1)], [(8, 1), (18, 1), (20, 1), (45, 2), (50, 1), (53, 1), (65, 1), (68, 1), (197, 1), (269, 1), (353, 1), (516, 1), (893, 1), (1025, 1), (1609, 1), (2064, 1), (2295, 1), (2543, 1), (3476, 1), (3638, 1), (7288, 1), (12248, 1), (12384, 1), (12385, 1)], [(8, 1), (25, 1), (51, 1), (185, 1), (505, 1), (645, 1), (983, 1), (1549, 1), (6698, 1)], [(8, 1), (20, 4), (25, 1), (53, 3), (54, 1), (90, 1), (109, 1), (124, 1), (182, 1), (197, 1), (220, 1), (268, 1), (293, 1), (301, 1), (516, 1), (709, 1), (1102, 2), (1224, 1), (1528, 1), (1824, 1), (2428, 1), (4801, 1), (4988, 1), (5697, 1), (12363, 1), (12386, 1), (12387, 1)], [(8, 1), (18, 1), (20, 1), (58, 1), (82, 1), (173, 1), (256, 1), (726, 1), (776, 1), (1342, 1), (1960, 1), (2077, 1), (2966, 1), (7124, 1)], [(18, 1), (20, 3), (65, 1), (69, 1), (106, 1), (247, 1), (337, 1), (347, 1), (387, 1), (412, 1), (420, 1), (448, 1), (2646, 1), (3886, 1), (5839, 1), (6103, 1), (8814, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (22, 1), (37, 1), (53, 1), (54, 2), (58, 5), (124, 1), (193, 1), (215, 1), (217, 1), (256, 1), (281, 1), (316, 1), (347, 1), (392, 1), (504, 1), (752, 1), (776, 1), (812, 1), (922, 1), (1458, 2), (1689, 1), (2361, 1), (3010, 1), (3304, 1), (4551, 1), (12388, 1)], [(8, 1), (19, 1), (20, 1), (58, 3), (193, 1), (256, 1), (268, 1), (269, 1), (293, 1), (331, 1), (337, 1), (434, 1), (1057, 1), (1224, 2), (2024, 1), (2202, 1), (5232, 1)], [(8, 1), (19, 1), (20, 5), (22, 2), (25, 2), (31, 1), (40, 1), (53, 2), (63, 1), (71, 2), (84, 1), (108, 2), (111, 3), (185, 1), (193, 1), (195, 1), (197, 1), (215, 1), (269, 1), (300, 1), (361, 1), (412, 1), (414, 1), (418, 1), (428, 1), (434, 1), (601, 1), (903, 1), (1223, 1), (1248, 1), (1458, 1), (1702, 1), (2428, 1), (2772, 2), (2985, 1), (3031, 1), (3978, 1), (4525, 1), (6284, 1), (11107, 1), (12389, 1), (12390, 1), (12391, 1), (12392, 1), (12393, 1), (12394, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (20, 7), (22, 2), (25, 4), (31, 3), (50, 2), (53, 4), (54, 1), (55, 2), (58, 1), (65, 1), (90, 3), (95, 2), (97, 1), (111, 1), (193, 1), (201, 2), (215, 1), (228, 1), (269, 1), (323, 1), (328, 1), (448, 1), (450, 1), (459, 1), (487, 1), (903, 1), (922, 1), (1005, 1), (1348, 1), (1632, 1), (1836, 1), (2172, 1), (2297, 1), (2744, 1), (2820, 1), (2966, 1), (3043, 1), (4228, 1), (4473, 1), (4551, 1), (4903, 1), (5635, 1), (6129, 1), (7399, 1), (7824, 1), (7870, 1), (8814, 1), (10617, 1), (12395, 1), (12396, 1), (12397, 1)], [(8, 1), (18, 2), (20, 6), (25, 3), (31, 2), (50, 1), (53, 2), (58, 1), (90, 1), (185, 1), (193, 2), (215, 1), (278, 1), (281, 1), (286, 1), (328, 1), (381, 1), (407, 1), (414, 2), (434, 3), (459, 1), (504, 1), (518, 1), (601, 1), (902, 1), (915, 1), (990, 1), (1122, 1), (1342, 1), (1393, 1), (1975, 1), (2344, 1), (2712, 1), (2764, 1), (4225, 1), (7337, 1), (9835, 1), (12398, 1), (12399, 1), (12400, 1)], [(8, 1), (18, 2), (19, 1), (20, 11), (25, 1), (31, 2), (37, 2), (50, 2), (53, 2), (65, 1), (84, 2), (90, 1), (92, 1), (97, 1), (108, 1), (109, 1), (215, 1), (236, 1), (256, 1), (258, 1), (293, 3), (307, 1), (328, 1), (412, 2), (419, 1), (448, 1), (505, 1), (516, 1), (518, 1), (903, 1), (1041, 1), (1071, 1), (1392, 1), (1456, 1), (1806, 1), (1829, 1), (1883, 1), (2543, 1), (2866, 1), (2967, 1), (3741, 1), (3955, 1), (4212, 1), (4557, 1), (5256, 1), (5282, 1), (5418, 1), (5816, 1), (5960, 1), (6239, 1), (7099, 1), (8857, 1), (9321, 1), (12401, 1), (12402, 1), (12403, 1), (12404, 1), (12405, 1), (12406, 1), (12407, 1)], [(8, 1), (19, 3), (20, 10), (22, 2), (25, 3), (31, 1), (37, 1), (50, 2), (53, 7), (65, 2), (90, 1), (124, 1), (174, 1), (185, 1), (193, 1), (214, 1), (256, 1), (281, 1), (301, 1), (307, 1), (328, 1), (419, 1), (420, 2), (427, 1), (434, 1), (435, 1), (505, 1), (516, 1), (518, 1), (777, 1), (833, 1), (897, 1), (1057, 1), (1159, 2), (1255, 1), (1324, 1), (1415, 1), (1574, 1), (1693, 1), (1813, 1), (1855, 1), (2164, 1), (2184, 1), (2206, 1), (2276, 1), (2277, 1), (2344, 1), (2348, 1), (2465, 1), (2503, 1), (2694, 1), (2911, 1), (3095, 1), (3352, 1), (3733, 1), (4563, 1), (4605, 1), (5684, 1), (5734, 1), (6010, 1), (6129, 1), (6531, 1), (11290, 1), (12408, 1), (12409, 1), (12410, 1), (12411, 1), (12412, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (31, 2), (53, 2), (65, 1), (84, 2), (307, 1), (365, 1), (434, 1), (680, 1), (1529, 1), (1626, 1), (1750, 1), (2336, 1), (2847, 1), (3025, 1), (3095, 1), (4148, 1), (4282, 1), (5607, 1), (9850, 1), (12413, 1), (12414, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (22, 2), (25, 2), (50, 2), (53, 1), (65, 1), (84, 3), (108, 2), (174, 1), (182, 1), (197, 1), (206, 1), (215, 1), (331, 1), (387, 1), (414, 1), (448, 1), (450, 1), (459, 1), (709, 1), (711, 1), (1102, 1), (1342, 1), (2184, 1), (2239, 1), (2405, 1), (2926, 1), (4136, 1), (4299, 1), (4318, 1), (4896, 1), (6439, 1), (6783, 1), (11936, 1), (11948, 1), (11956, 1), (12415, 1), (12416, 1), (12417, 1), (12418, 1), (12419, 1), (12420, 1), (12421, 1), (12422, 1), (12423, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 4), (31, 1), (53, 3), (58, 1), (108, 1), (174, 1), (215, 1), (331, 1), (334, 1), (347, 1), (365, 1), (459, 2), (504, 1), (559, 1), (587, 1), (1041, 1), (1628, 1), (1702, 1), (2401, 1), (4664, 1), (4883, 1), (4891, 1), (5056, 3), (7447, 1), (9400, 1), (9852, 1), (12424, 1), (12425, 1)], [(20, 1), (50, 1), (295, 1), (711, 1), (1685, 1), (1714, 1), (2206, 1), (3633, 1), (3642, 1), (9954, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (72, 1), (74, 1), (90, 2), (108, 1), (111, 1), (161, 2), (174, 1), (185, 1), (206, 1), (215, 1), (307, 1), (347, 1), (365, 1), (414, 1), (419, 1), (428, 2), (434, 1), (654, 2), (661, 1), (834, 1), (841, 1), (894, 1), (903, 1), (1010, 1), (1139, 1), (1887, 1), (1940, 1), (2173, 1), (2206, 1), (2401, 1), (2437, 1), (2569, 1), (3821, 1), (4325, 1), (4532, 1), (6358, 1), (6775, 1), (7376, 1), (8606, 1), (12426, 1), (12427, 1), (12428, 1), (12429, 1), (12430, 1), (12431, 1), (12432, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (50, 1), (53, 2), (65, 1), (71, 1), (109, 1), (193, 1), (285, 1), (301, 1), (307, 1), (414, 1), (434, 1), (580, 1), (778, 1), (1041, 1), (1702, 2), (1880, 1), (2198, 1), (2428, 1), (2744, 1), (3978, 1), (4214, 1), (4551, 1), (12398, 1), (12433, 1), (12434, 1), (12435, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (37, 1), (40, 1), (45, 1), (50, 2), (53, 5), (69, 1), (108, 1), (124, 1), (185, 1), (833, 1), (908, 1), (1102, 1), (1298, 1), (1342, 1), (2064, 1), (2355, 1), (2643, 1), (2894, 1), (3934, 1), (4585, 1), (4666, 1), (6315, 1), (7192, 1), (11017, 1), (11828, 1), (12223, 1), (12436, 1), (12437, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (50, 1), (53, 2), (71, 1), (124, 1), (206, 1), (217, 1), (225, 1), (256, 1), (306, 1), (337, 1), (359, 1), (516, 1), (527, 1), (581, 1), (767, 1), (1260, 1), (1585, 1), (2468, 1), (2744, 1), (3181, 1), (5749, 1), (12438, 1), (12439, 1), (12440, 1)], [(8, 1), (25, 1), (1506, 1), (1904, 1), (2157, 1), (2986, 1), (6464, 1), (12441, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 2), (37, 1), (45, 2), (50, 1), (55, 2), (75, 1), (108, 1), (111, 1), (241, 1), (256, 1), (269, 1), (285, 2), (329, 1), (428, 1), (452, 1), (531, 1), (800, 1), (893, 1), (1041, 1), (1529, 1), (1665, 2), (2198, 1), (2694, 1), (3064, 1), (3638, 1), (3858, 1), (4215, 1), (4475, 1), (4526, 1), (4950, 1), (6281, 1), (6315, 1), (6359, 1), (7396, 1), (11349, 1), (12079, 1), (12442, 1), (12443, 1)], [(7, 1), (8, 1), (18, 3), (19, 2), (20, 4), (22, 1), (25, 1), (31, 4), (50, 2), (53, 9), (90, 1), (97, 1), (109, 1), (173, 1), (215, 1), (305, 1), (347, 1), (428, 1), (435, 1), (518, 1), (645, 1), (709, 1), (777, 1), (813, 1), (998, 1), (1041, 1), (1129, 1), (1239, 1), (1296, 1), (1377, 1), (1380, 1), (1462, 1), (1506, 1), (1596, 1), (1693, 1), (2200, 1), (2296, 1), (2543, 1), (3017, 1), (3192, 1), (4088, 1), (4282, 1), (5314, 1), (5655, 1), (5749, 1), (7332, 1), (9789, 1), (11960, 1), (12444, 1), (12445, 1), (12446, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (25, 2), (31, 1), (37, 1), (50, 1), (53, 3), (92, 1), (111, 1), (215, 1), (268, 1), (337, 1), (361, 2), (414, 1), (435, 1), (459, 1), (504, 1), (709, 1), (1689, 1), (2076, 1), (2436, 1), (2789, 1), (3356, 1), (3384, 1), (5734, 1), (5952, 1), (7587, 1), (9046, 1), (10179, 1), (10959, 1), (12447, 1)], [(8, 1), (19, 1), (22, 2), (31, 2), (50, 2), (53, 6), (186, 1), (307, 1), (583, 1), (600, 1), (639, 1), (922, 1), (1224, 1), (1702, 2), (2200, 1), (2296, 1), (3988, 1), (4226, 1), (5684, 1), (6315, 1), (7968, 1), (11229, 1), (12448, 1), (12449, 1), (12450, 1)], [(8, 1), (31, 1), (45, 1), (82, 1), (90, 1), (173, 1), (285, 1), (420, 1), (723, 1), (903, 1), (3048, 1), (3457, 1), (4082, 1), (8444, 2), (8446, 1), (12451, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (28, 1), (30, 1), (31, 1), (45, 1), (50, 1), (51, 1), (53, 6), (55, 1), (65, 2), (97, 1), (109, 2), (117, 1), (166, 1), (173, 2), (232, 1), (261, 1), (269, 1), (288, 1), (307, 1), (310, 1), (347, 1), (420, 1), (428, 1), (448, 1), (645, 1), (726, 1), (1224, 1), (1342, 1), (1350, 1), (1525, 1), (1557, 1), (1590, 1), (1702, 1), (1720, 1), (1764, 1), (2296, 1), (2325, 1), (2397, 1), (2812, 1), (3108, 1), (3274, 1), (3446, 1), (3527, 1), (4215, 1), (4576, 1), (4729, 1), (5065, 1), (6669, 1), (7286, 1), (7420, 1), (9623, 1), (12452, 1), (12453, 1), (12454, 1)], [(8, 1), (25, 1), (30, 1), (50, 3), (53, 1), (97, 1), (172, 1), (217, 1), (269, 1), (834, 1), (1549, 1), (2324, 1), (2766, 1), (3384, 1), (3501, 1), (6510, 1), (9852, 1), (10679, 1), (11367, 1), (12455, 1)], [(8, 1), (45, 1), (75, 1), (109, 1), (2200, 1), (3000, 1), (3772, 1), (7400, 1), (11510, 1)], [(8, 1), (18, 1), (20, 1), (26, 1), (31, 1), (50, 1), (53, 6), (54, 2), (65, 1), (90, 2), (109, 1), (261, 1), (293, 1), (433, 1), (459, 1), (626, 1), (706, 1), (976, 1), (2117, 1), (2145, 1), (2200, 1), (2735, 1), (4576, 1), (4853, 1), (5682, 1), (8150, 1), (11939, 1), (12456, 1)], [(7742, 1)], [(8, 1), (19, 1), (20, 4), (24, 1), (50, 2), (53, 6), (65, 2), (72, 1), (77, 1), (193, 1), (581, 1), (654, 1), (709, 1), (1377, 1), (1529, 1), (1764, 1), (1877, 1), (1904, 1), (2145, 1), (3416, 1), (4533, 1), (4729, 1), (6364, 1), (7742, 1), (9755, 2), (12456, 1), (12457, 1)], [(51, 1), (247, 1), (645, 1), (12458, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (55, 1), (185, 1), (236, 1), (357, 1), (1585, 1), (1702, 1), (2196, 1), (2994, 1), (4237, 1), (4841, 1), (7286, 1), (7464, 1), (12459, 1)], [(1544, 1), (12460, 1)], [(8, 1), (24, 1), (11111, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (18, 2), (20, 4), (53, 3), (65, 1), (81, 1), (108, 1), (109, 1), (708, 1), (752, 1), (1166, 1), (1807, 1), (2178, 1), (2206, 1), (3342, 1), (5054, 1), (7208, 1), (8343, 1), (11046, 1), (11111, 1), (12227, 1), (12408, 1), (12461, 1), (12462, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (21, 1), (23, 1), (25, 1), (31, 1), (50, 1), (53, 2), (65, 2), (90, 1), (109, 2), (174, 1), (193, 2), (209, 1), (239, 1), (293, 1), (317, 1), (347, 1), (365, 1), (583, 1), (706, 1), (1322, 1), (1348, 1), (1557, 1), (1580, 1), (1587, 1), (1668, 1), (1732, 1), (1762, 1), (2066, 1), (2178, 1), (3791, 1), (4143, 1), (5447, 1), (7605, 1), (9694, 1), (9800, 1), (12087, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 2), (54, 1), (185, 1), (209, 1), (217, 1), (347, 1), (435, 1), (504, 1), (516, 1), (959, 1), (2239, 1), (3945, 1), (5435, 1), (8784, 1), (12463, 1)], [(8, 1), (20, 2), (25, 1), (37, 1), (50, 2), (53, 1), (54, 1), (55, 2), (65, 1), (174, 1), (185, 1), (310, 1), (432, 1), (459, 1), (516, 1), (777, 1), (1159, 3), (1474, 1), (1529, 1), (1552, 1), (1698, 1), (1802, 1), (2319, 1), (2336, 1), (2849, 1), (6575, 1), (7151, 1), (12464, 1), (12465, 1), (12466, 1), (12467, 1), (12468, 1), (12469, 1)], [(8, 1), (459, 1), (753, 1), (1159, 1), (5743, 1), (5921, 1), (7830, 1)], [(8, 1), (19, 1), (34, 1), (54, 1), (58, 1), (65, 3), (126, 1), (174, 1), (193, 1), (317, 1), (834, 1), (1159, 1), (1170, 1), (1248, 1), (1481, 1), (1482, 1), (1668, 1), (2168, 1), (6168, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (50, 2), (53, 2), (90, 1), (293, 1), (347, 1), (404, 1), (530, 1), (609, 1), (903, 1), (1241, 1), (5849, 1), (7899, 1), (8123, 1), (8343, 1), (12470, 1), (12471, 1), (12472, 1), (12473, 1)], [(8, 1), (18, 1), (19, 4), (20, 7), (22, 2), (25, 2), (31, 2), (50, 2), (53, 6), (54, 1), (60, 1), (65, 4), (69, 1), (82, 1), (84, 2), (90, 1), (98, 1), (109, 2), (172, 1), (215, 1), (229, 1), (233, 1), (269, 2), (293, 1), (317, 2), (365, 1), (415, 2), (419, 2), (420, 1), (426, 1), (434, 1), (462, 1), (600, 1), (601, 1), (688, 1), (709, 2), (710, 1), (711, 2), (777, 1), (827, 1), (834, 2), (864, 1), (940, 1), (1010, 1), (1102, 1), (1129, 1), (1170, 1), (1481, 1), (1482, 1), (1487, 1), (1529, 1), (1557, 1), (1695, 1), (1710, 1), (1732, 1), (1824, 1), (2019, 1), (2030, 1), (2064, 1), (2075, 1), (2199, 1), (2200, 1), (2427, 1), (2734, 1), (3305, 1), (3751, 1), (6364, 1), (9620, 1), (11345, 1), (11981, 1), (12474, 1)], [(64, 1), (247, 1), (1335, 1), (6079, 1)], [(53, 1), (182, 1), (295, 1), (756, 1), (946, 1), (6316, 1), (10515, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 2), (32, 1), (45, 3), (50, 1), (53, 5), (54, 1), (58, 2), (63, 1), (75, 1), (109, 1), (173, 1), (215, 1), (301, 1), (365, 1), (382, 1), (428, 1), (654, 1), (754, 1), (777, 1), (885, 1), (1325, 1), (1377, 1), (1415, 1), (1693, 1), (1694, 1), (1823, 1), (1981, 1), (2030, 1), (2039, 1), (2847, 1), (3776, 1), (6983, 1), (9482, 1), (9738, 1), (12475, 1)], [(8, 1), (45, 1), (53, 1), (54, 1), (709, 1), (1245, 1), (1702, 1), (2036, 1), (7332, 1), (9947, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (31, 1), (50, 3), (53, 6), (58, 1), (68, 1), (69, 1), (81, 1), (82, 1), (108, 1), (117, 1), (172, 1), (173, 1), (175, 1), (185, 1), (193, 1), (215, 1), (232, 1), (285, 1), (347, 1), (373, 1), (450, 1), (459, 1), (709, 1), (754, 1), (756, 1), (763, 1), (903, 1), (919, 1), (1102, 1), (1363, 1), (1416, 1), (1573, 1), (1689, 1), (2148, 1), (2265, 1), (2439, 1), (2820, 1), (3040, 1), (3831, 1), (4581, 1), (6129, 1), (6315, 1), (9172, 1), (9444, 1), (10515, 1), (11560, 1), (12476, 1), (12477, 1)], [(7, 1), (18, 1), (20, 3), (25, 2), (45, 2), (50, 1), (53, 1), (54, 1), (90, 1), (173, 2), (247, 1), (301, 1), (328, 1), (488, 1), (1159, 1), (1198, 1), (1458, 1), (1460, 1), (1587, 1), (1931, 1), (2018, 1), (3040, 1), (4210, 1), (5065, 1), (5378, 1), (5874, 1), (6281, 1), (6309, 1), (6770, 1), (6917, 1), (9738, 1), (12478, 1), (12479, 1)], [(20, 1), (53, 2), (56, 1), (77, 1), (106, 1), (247, 1), (1122, 1), (1460, 1), (6129, 1)], [(19, 2), (37, 1), (53, 1), (91, 1), (247, 1), (583, 1), (937, 1), (1155, 1), (1744, 1), (5367, 1), (12480, 1)], [(19, 2), (20, 2), (23, 1), (25, 1), (82, 1), (91, 2), (185, 1), (193, 1), (242, 1), (504, 1), (609, 1), (937, 1), (1198, 1), (1248, 1), (1342, 1), (1587, 1), (2145, 1)], [(7, 1), (8, 1), (20, 7), (25, 3), (31, 1), (50, 1), (53, 2), (55, 3), (74, 1), (84, 1), (90, 2), (96, 1), (108, 1), (117, 1), (217, 1), (232, 1), (307, 1), (347, 1), (412, 1), (418, 1), (448, 1), (450, 1), (459, 1), (632, 1), (679, 1), (897, 1), (903, 1), (904, 1), (1098, 1), (1324, 1), (1416, 1), (2066, 1), (2359, 1), (2627, 1), (2786, 1), (3025, 1), (3040, 1), (3121, 1), (3491, 1), (3831, 1), (4785, 1), (4957, 1), (5013, 1), (5250, 1), (6513, 1), (9179, 1), (9810, 1), (10708, 1), (12395, 1), (12481, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (45, 1), (50, 1), (53, 2), (161, 1), (172, 1), (203, 1), (307, 1), (645, 1), (914, 1), (1668, 1), (1824, 1), (2117, 1), (3416, 1), (3417, 1), (3434, 1), (3756, 1), (4373, 1), (4585, 1), (6315, 1), (6444, 1), (6446, 1), (10765, 1), (12482, 1), (12483, 1)], [(20, 1), (64, 1), (109, 1), (295, 1), (506, 1), (946, 1), (1324, 1), (1685, 1), (12484, 1)], [(8, 1), (20, 1), (53, 1), (428, 1), (680, 1), (777, 1), (6315, 1), (7396, 1), (7414, 1)], [(8, 1), (20, 1), (31, 1), (40, 1), (50, 1), (51, 1), (53, 3), (124, 1), (256, 2), (271, 1), (307, 1), (338, 1), (347, 1), (351, 1), (645, 1), (833, 1), (884, 1), (903, 1), (2436, 1), (4667, 1), (6525, 1), (6828, 1), (7874, 1), (12485, 1)], [(19, 2), (20, 2), (31, 2), (45, 1), (51, 1), (53, 3), (85, 1), (173, 1), (217, 1), (247, 1), (301, 1), (323, 1), (347, 1), (709, 1), (754, 1), (824, 1), (1009, 1), (1159, 1), (1348, 1), (1574, 1), (1820, 1), (2541, 1), (2869, 1), (2925, 1), (4533, 1), (5130, 1), (8143, 1), (8437, 1), (12486, 1)], [(53, 1), (56, 1), (708, 1), (1122, 1), (1159, 1), (1178, 1), (9790, 1)], [(53, 1), (56, 1), (247, 1), (10055, 1)], [(19, 1), (22, 1), (31, 1), (37, 1), (77, 1), (90, 2), (256, 1), (289, 1), (351, 1), (1643, 1), (1714, 1), (1747, 1), (3709, 1), (5040, 1), (5141, 1), (12487, 1), (12488, 1), (12489, 1)], [(8, 1), (19, 1), (20, 2), (37, 1), (53, 2), (90, 1), (92, 1), (307, 1), (419, 2), (434, 1), (452, 1), (459, 1), (568, 1), (686, 1), (834, 1), (1139, 1), (1287, 1), (1342, 1), (1656, 1), (2162, 1), (2211, 1), (4086, 1), (7830, 1), (8046, 1)], [(7, 1), (8, 1), (20, 3), (25, 3), (31, 1), (40, 1), (50, 1), (53, 1), (56, 1), (108, 1), (111, 1), (124, 1), (161, 1), (166, 1), (185, 1), (328, 1), (419, 1), (459, 1), (531, 1), (833, 1), (897, 1), (1445, 1), (1467, 1), (1488, 1), (1582, 1), (1838, 1), (2164, 1), (2189, 1), (2655, 1), (2847, 1), (4167, 1), (5100, 1), (6623, 1), (8183, 1), (8713, 1), (11762, 1), (12408, 1), (12490, 1), (12491, 1)], [(8, 1), (20, 4), (22, 1), (31, 3), (37, 1), (50, 3), (90, 2), (111, 3), (185, 1), (301, 1), (307, 1), (313, 1), (414, 1), (415, 1), (419, 1), (434, 2), (448, 1), (677, 1), (711, 1), (744, 1), (777, 1), (834, 1), (974, 1), (1122, 1), (1304, 1), (1342, 1), (1348, 1), (1509, 1), (1529, 1), (1890, 1), (2173, 1), (2253, 1), (2693, 1), (3679, 1), (3810, 1), (4180, 1), (5557, 1), (5878, 1), (10891, 1), (10905, 1), (12492, 1), (12493, 1), (12494, 1)], [(1544, 1), (12495, 1)], [(8, 1), (24, 1), (12496, 1)], [(8, 1), (24, 1), (25, 1), (50, 1), (53, 2), (54, 1), (82, 1), (185, 1), (287, 1), (347, 1), (365, 1), (392, 1), (414, 1), (419, 1), (754, 1), (792, 1), (1363, 1), (2149, 1), (2197, 1), (3384, 1), (5447, 1), (6315, 1), (7113, 1), (12497, 1), (12498, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 5), (21, 2), (37, 1), (45, 1), (50, 1), (53, 3), (58, 1), (82, 2), (90, 1), (172, 1), (173, 3), (185, 1), (195, 1), (217, 2), (260, 1), (285, 1), (293, 1), (301, 1), (337, 1), (347, 3), (414, 1), (504, 1), (1159, 1), (1499, 1), (2084, 1), (2140, 1), (2484, 1), (3417, 1), (3727, 1), (3993, 1), (4145, 1), (5040, 1), (7223, 1), (7783, 1), (7887, 1), (8853, 1), (12499, 1)], [(8, 1), (19, 1), (20, 5), (50, 1), (55, 1), (58, 1), (82, 1), (85, 1), (90, 1), (108, 1), (161, 1), (166, 1), (173, 3), (215, 1), (260, 1), (286, 1), (293, 1), (448, 1), (1325, 1), (2406, 1), (2825, 1), (2872, 1), (3022, 1), (3040, 1), (5409, 1), (6438, 1), (6543, 1), (12500, 1), (12501, 1), (12502, 1), (12503, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (37, 1), (50, 2), (53, 1), (65, 2), (82, 1), (185, 1), (226, 1), (233, 1), (301, 1), (414, 1), (415, 1), (420, 1), (459, 1), (518, 1), (601, 1), (1129, 1), (1393, 1), (1522, 1), (1613, 1), (1901, 1), (2096, 1), (2440, 1), (4034, 1), (5054, 1), (6927, 1), (6982, 1), (8343, 1), (9294, 1), (12504, 1), (12505, 1)], [(8, 1), (18, 3), (19, 1), (20, 13), (21, 1), (22, 4), (23, 1), (25, 5), (31, 4), (50, 3), (53, 9), (82, 1), (90, 2), (91, 1), (108, 3), (111, 2), (117, 2), (124, 3), (168, 1), (193, 1), (206, 2), (232, 2), (240, 1), (256, 1), (273, 1), (281, 1), (288, 2), (289, 2), (310, 1), (355, 1), (365, 1), (392, 1), (415, 2), (418, 2), (428, 1), (504, 1), (505, 1), (643, 1), (702, 1), (708, 1), (743, 1), (744, 2), (869, 1), (897, 1), (899, 1), (1072, 1), (1129, 2), (1308, 1), (1324, 1), (1348, 1), (1416, 1), (1487, 1), (1499, 1), (1522, 1), (1529, 1), (1582, 1), (1702, 1), (1999, 1), (2096, 1), (2120, 1), (2177, 1), (2347, 1), (2397, 1), (2593, 1), (2933, 1), (3773, 1), (3974, 1), (4000, 1), (4854, 1), (5372, 1), (5776, 1), (6085, 1), (6248, 1), (6416, 2), (7152, 1), (7437, 1), (8060, 1), (8908, 1), (9658, 1), (9957, 1), (10614, 1), (11290, 1), (12506, 2), (12507, 1), (12508, 1), (12509, 2), (12510, 1), (12511, 1), (12512, 2), (12513, 1), (12514, 1), (12515, 1), (12516, 1), (12517, 1), (12518, 2), (12519, 1), (12520, 1)], [(8, 1), (18, 2), (19, 3), (20, 5), (22, 1), (25, 3), (31, 2), (37, 1), (46, 1), (50, 4), (53, 2), (71, 1), (82, 1), (172, 1), (185, 1), (195, 1), (214, 1), (246, 1), (269, 1), (285, 1), (331, 1), (410, 1), (415, 1), (487, 1), (600, 1), (1129, 1), (1196, 1), (1470, 1), (1520, 1), (1522, 1), (1613, 1), (2015, 1), (2284, 1), (2539, 1), (3416, 1), (4037, 1), (6301, 1), (6620, 1), (6913, 1), (6990, 1), (8054, 1), (12521, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 1), (50, 1), (53, 3), (65, 2), (71, 1), (111, 1), (161, 1), (172, 1), (174, 1), (190, 1), (193, 1), (225, 1), (269, 1), (286, 1), (414, 2), (418, 1), (448, 1), (498, 1), (709, 1), (833, 1), (1140, 1), (1159, 2), (1187, 1), (1322, 1), (1363, 1), (1499, 1), (1541, 1), (1762, 1), (2344, 1), (2914, 1), (4503, 1), (6179, 1), (6816, 1), (12114, 1), (12480, 1), (12522, 1), (12523, 1), (12524, 1), (12525, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (31, 1), (50, 1), (53, 4), (65, 2), (71, 1), (90, 1), (97, 1), (108, 1), (109, 1), (285, 1), (331, 1), (387, 1), (709, 1), (830, 1), (1159, 1), (1322, 1), (1460, 1), (1521, 1), (2096, 1), (2268, 1), (2932, 1), (4439, 1), (4503, 1), (4990, 1), (5054, 1), (5287, 1), (6538, 1), (7866, 1), (8343, 1)], [(8, 1), (20, 2), (31, 1), (37, 1), (53, 1), (65, 1), (94, 1), (109, 1), (117, 1), (174, 1), (185, 1), (190, 1), (214, 1), (232, 1), (260, 1), (331, 1), (414, 1), (415, 1), (711, 1), (1102, 1), (1129, 1), (1392, 1), (1522, 1), (1587, 1), (1642, 1), (1762, 1), (1867, 1), (2096, 1), (3330, 1), (3974, 1), (5054, 1), (8343, 1), (10141, 1), (12514, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 2), (32, 2), (50, 4), (53, 2), (71, 1), (91, 1), (108, 1), (109, 1), (172, 1), (269, 1), (286, 1), (448, 2), (488, 1), (529, 1), (709, 1), (830, 2), (834, 1), (1115, 1), (1322, 1), (1348, 1), (2172, 1), (3696, 1), (12480, 2), (12526, 1), (12527, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (172, 1), (285, 1), (531, 1), (711, 1), (1903, 1), (2096, 1), (2933, 1), (5321, 1), (12528, 1), (12529, 1)], [(8, 1), (18, 1), (20, 1), (25, 2), (37, 2), (50, 1), (53, 2), (55, 2), (82, 1), (109, 1), (256, 1), (285, 1), (286, 1), (711, 1), (1308, 1), (1393, 1), (1476, 1), (1509, 1), (2076, 1), (2162, 1), (2440, 1), (4989, 1), (6253, 1), (9234, 1), (10986, 1), (11160, 1), (12530, 1), (12531, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (50, 1), (53, 1), (55, 1), (77, 2), (90, 1), (161, 1), (174, 1), (195, 1), (215, 2), (269, 1), (285, 1), (293, 1), (445, 1), (452, 1), (885, 1), (886, 1), (1089, 1), (1235, 1), (2037, 2), (2479, 1), (3043, 1), (7795, 1), (8164, 1), (10118, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (25, 2), (31, 1), (50, 3), (53, 1), (71, 2), (77, 2), (82, 2), (90, 1), (91, 1), (108, 1), (109, 1), (173, 1), (256, 1), (278, 1), (324, 2), (328, 1), (387, 1), (420, 1), (452, 1), (711, 1), (744, 1), (813, 2), (1235, 1), (1377, 1), (1541, 1), (1685, 2), (1747, 1), (1964, 1), (2036, 1), (2117, 1), (2751, 1), (2819, 1), (3044, 1), (3121, 1), (3756, 1), (8081, 1), (9354, 1), (11813, 1), (12532, 1), (12533, 1), (12534, 1), (12535, 2), (12536, 1)], [(8, 1), (18, 2), (20, 4), (22, 1), (45, 1), (50, 2), (53, 3), (55, 1), (65, 1), (174, 1), (215, 1), (275, 1), (365, 1), (777, 1), (795, 1), (813, 1), (1235, 1), (1517, 1), (1903, 1), (3155, 1), (3829, 1), (5874, 1), (7511, 1), (8081, 2), (8309, 1), (9309, 1), (12537, 1), (12538, 1), (12539, 1)], [(8, 1), (19, 1), (20, 6), (31, 3), (37, 1), (53, 3), (58, 1), (71, 1), (90, 1), (124, 1), (185, 1), (187, 1), (269, 1), (273, 1), (285, 1), (301, 1), (361, 1), (609, 1), (810, 1), (833, 1), (1139, 1), (1235, 2), (1471, 1), (1747, 1), (1760, 1), (2055, 1), (2320, 1), (3140, 1), (4050, 1), (9309, 1), (11884, 1), (12540, 2)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (29, 1), (31, 1), (53, 2), (65, 1), (77, 1), (82, 1), (88, 1), (90, 1), (95, 1), (97, 1), (173, 2), (185, 1), (225, 1), (289, 1), (301, 1), (884, 1), (1235, 1), (1377, 1), (1417, 1), (1520, 1), (1747, 1), (1779, 1), (1877, 1), (4785, 1), (5874, 1), (5910, 1), (12541, 1), (12542, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (25, 1), (34, 1), (37, 1), (50, 1), (53, 2), (71, 1), (90, 1), (172, 1), (214, 1), (241, 1), (293, 1), (355, 1), (365, 1), (407, 1), (419, 1), (711, 1), (897, 1), (2197, 1), (5372, 1), (6623, 1), (8081, 1), (9926, 1)], [(8, 1), (18, 2), (20, 6), (22, 1), (25, 1), (31, 3), (37, 1), (50, 2), (53, 3), (65, 1), (98, 1), (117, 2), (190, 1), (215, 1), (232, 2), (281, 1), (289, 1), (293, 1), (355, 1), (414, 2), (415, 3), (448, 1), (516, 1), (518, 1), (654, 1), (1012, 1), (1116, 1), (1129, 3), (1229, 1), (1342, 1), (1499, 1), (1588, 1), (2034, 1), (2089, 1), (3685, 1), (3974, 1), (4039, 1), (4778, 1), (6253, 1), (7016, 1), (8077, 1), (8789, 1), (10664, 1), (11496, 1), (12543, 1), (12544, 1), (12545, 1), (12546, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (25, 2), (37, 1), (50, 3), (58, 1), (65, 4), (71, 1), (82, 1), (90, 1), (92, 1), (108, 1), (190, 1), (193, 2), (209, 1), (287, 1), (289, 1), (310, 1), (328, 1), (365, 1), (410, 1), (420, 1), (687, 1), (711, 2), (744, 2), (763, 1), (970, 1), (1161, 1), (1470, 1), (1476, 1), (1747, 1), (2178, 1), (2249, 1), (3248, 1), (3472, 1), (6337, 1), (8556, 1), (12547, 1), (12548, 1), (12549, 1), (12550, 1), (12551, 1)], [(8, 1), (18, 1), (20, 3), (31, 1), (65, 1), (109, 1), (209, 1), (214, 1), (215, 2), (237, 1), (355, 1), (415, 1), (711, 2), (742, 1), (744, 1), (1129, 1), (1324, 1), (1450, 1), (1627, 1), (2149, 1), (3296, 1), (3353, 1), (6927, 1), (9384, 1)], [(19, 1), (20, 2), (53, 1), (65, 1), (77, 1), (108, 1), (117, 1), (215, 1), (228, 1), (232, 1), (331, 1), (415, 1), (420, 1), (442, 1), (687, 1), (711, 1), (763, 1), (946, 1), (1129, 1), (1198, 1), (1347, 1), (4709, 2), (9620, 1), (12552, 1), (12553, 1)], [(21, 1), (53, 1), (90, 1), (228, 1), (697, 1), (922, 1), (946, 1), (1198, 1), (1347, 1), (6064, 1), (8081, 1), (9620, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (34, 1), (50, 1), (90, 1), (108, 1), (117, 2), (214, 1), (232, 1), (331, 1), (414, 1), (415, 1), (432, 1), (516, 1), (711, 1), (759, 1), (776, 1), (967, 1), (1129, 1), (1169, 1), (1907, 1), (2479, 1), (2802, 1), (3380, 1), (4145, 1), (4228, 1), (6545, 1), (9394, 1), (12554, 1), (12555, 1), (12556, 1)], [(20, 5), (25, 1), (53, 1), (65, 2), (193, 1), (247, 1), (301, 1), (1081, 1), (1170, 1), (2126, 1), (3418, 1), (5372, 1), (5447, 1), (7681, 1), (9156, 1), (12557, 1)], [(31, 1), (50, 1), (53, 1), (161, 1), (420, 1), (596, 1), (813, 1), (1322, 1), (1685, 1), (1714, 1), (1747, 1), (2265, 1), (2842, 1), (2967, 1), (5447, 2), (12526, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (25, 4), (37, 1), (50, 2), (53, 1), (58, 2), (64, 4), (65, 1), (81, 1), (90, 1), (193, 1), (225, 1), (260, 1), (293, 1), (355, 1), (387, 1), (410, 1), (415, 1), (504, 1), (516, 1), (687, 1), (711, 3), (743, 1), (744, 1), (809, 1), (812, 1), (1156, 1), (1163, 2), (1172, 1), (1269, 1), (1308, 1), (1991, 1), (2030, 1), (3041, 1), (3924, 1), (4755, 1), (9047, 1), (12558, 1), (12559, 1), (12560, 1), (12561, 1), (12562, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (25, 3), (37, 2), (50, 1), (58, 2), (65, 5), (71, 1), (77, 2), (90, 1), (117, 1), (185, 1), (232, 1), (285, 1), (355, 1), (433, 1), (441, 1), (600, 1), (709, 1), (744, 1), (756, 1), (1641, 1), (1845, 1), (2076, 1), (2084, 1), (2320, 1), (2820, 1), (3072, 1), (3472, 1), (4145, 1), (5358, 1), (5886, 1), (8469, 1), (9384, 1), (12552, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (31, 1), (50, 2), (53, 1), (58, 1), (90, 1), (161, 1), (195, 1), (225, 1), (273, 1), (410, 1), (490, 1), (516, 1), (743, 1), (967, 1), (1393, 1), (1918, 1), (3034, 1), (4205, 1), (4699, 1), (7551, 1)], [(8, 1), (20, 1), (22, 1), (31, 1), (53, 1), (122, 1), (193, 1), (256, 1), (275, 1), (1308, 1), (2785, 1), (5954, 1), (6248, 1), (6367, 1), (12563, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (45, 1), (77, 1), (90, 1), (108, 1), (173, 1), (225, 1), (268, 1), (331, 1), (372, 1), (420, 1), (645, 1), (3657, 1), (3923, 1), (6048, 1), (6399, 1), (8323, 1), (9791, 1), (12564, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (23, 1), (31, 2), (53, 1), (71, 1), (90, 2), (225, 1), (268, 1), (414, 1), (767, 1), (800, 1), (1012, 1), (1377, 1), (2282, 1), (3413, 1), (5526, 1), (5870, 1), (8266, 1), (8580, 1), (8955, 1), (9603, 1), (12565, 1)], [(18, 1), (77, 1), (96, 1), (301, 1), (1714, 1), (12558, 1)], [(8, 1), (20, 1), (25, 2), (50, 1), (53, 2), (65, 1), (85, 1), (98, 1), (169, 1), (186, 1), (310, 1), (324, 1), (601, 1), (812, 1), (2705, 1), (3480, 1), (4311, 1), (5639, 1), (11408, 1), (12566, 1), (12567, 1)], [(8, 2), (19, 1), (22, 1), (58, 1), (82, 1), (90, 1), (117, 1), (232, 1), (812, 1), (1390, 1), (1747, 1), (1867, 1), (2626, 1), (2747, 1), (5901, 1), (12568, 1), (12569, 1), (12570, 1)], [(8, 1), (20, 1), (31, 1), (32, 1), (94, 1), (98, 1), (108, 1), (185, 1), (217, 1), (225, 1), (228, 1), (399, 1), (448, 1), (609, 1), (922, 1), (1022, 1), (1403, 1), (2085, 1), (3828, 1), (4050, 1), (5339, 1), (5788, 1), (11144, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (53, 1), (58, 1), (71, 1), (428, 1), (743, 1), (1899, 1), (7805, 1), (8781, 1), (9208, 1), (12571, 1)], [(8, 1), (20, 1), (58, 1), (90, 1), (239, 1), (498, 1), (506, 1), (1068, 1), (8774, 1), (12572, 1)], [(8, 1), (12558, 1)], [(8, 1), (10, 1), (11, 1), (20, 6), (21, 1), (22, 2), (65, 1), (117, 1), (126, 2), (439, 4), (466, 1), (475, 1), (476, 1), (493, 1), (522, 2), (540, 1), (929, 3), (1031, 1), (1206, 1), (5961, 3), (10427, 1), (10517, 1), (12573, 1), (12574, 1), (12575, 1), (12576, 1), (12577, 1), (12578, 1), (12579, 1), (12580, 1), (12581, 1), (12582, 1), (12583, 1), (12584, 1), (12585, 1), (12586, 1), (12587, 1), (12588, 1), (12589, 1), (12590, 1), (12591, 1), (12592, 1), (12593, 1)], [(8, 1), (71, 1), (77, 1), (82, 1), (97, 1), (203, 1), (226, 1), (351, 1), (410, 1), (884, 1), (2265, 1), (6103, 1), (9653, 1), (12594, 1)], [(8, 1), (22, 1), (50, 1), (53, 1), (95, 1), (172, 1), (225, 1), (229, 1), (293, 1), (450, 1), (884, 1), (2849, 1), (4020, 1), (4073, 1), (7503, 1), (12595, 1)], [(8, 1), (18, 3), (20, 6), (25, 2), (31, 2), (42, 1), (45, 1), (50, 1), (53, 2), (55, 2), (65, 2), (77, 1), (111, 1), (117, 1), (173, 1), (232, 1), (275, 1), (328, 1), (359, 1), (373, 1), (414, 1), (420, 1), (645, 1), (709, 1), (710, 1), (884, 1), (1172, 1), (1325, 1), (1377, 1), (2012, 1), (2029, 1), (2850, 1), (3299, 1), (3386, 1), (3694, 1), (3756, 1), (3982, 1), (5851, 1), (5870, 1), (6225, 1), (9393, 1), (12596, 1), (12597, 1), (12598, 1), (12599, 1), (12600, 1), (12601, 1)], [(8, 1), (20, 2), (25, 1), (37, 1), (50, 1), (53, 1), (65, 1), (90, 1), (95, 1), (188, 1), (193, 1), (225, 1), (268, 3), (301, 1), (373, 1), (813, 1), (2070, 1), (2850, 1), (6225, 1), (12602, 1)], [(8, 1), (20, 1), (31, 1), (51, 1), (53, 1), (410, 1), (414, 1), (459, 1), (504, 1), (516, 1), (680, 1), (2015, 1), (2096, 1), (2744, 1), (2785, 1), (5448, 1), (5797, 1), (6757, 1), (7844, 1), (12603, 1), (12604, 1), (12605, 1)], [(8, 1), (18, 3), (19, 2), (20, 6), (22, 1), (25, 3), (31, 2), (37, 1), (45, 1), (50, 2), (53, 7), (65, 1), (77, 3), (90, 1), (95, 1), (108, 1), (111, 1), (117, 1), (161, 1), (203, 1), (215, 3), (232, 1), (268, 1), (274, 1), (281, 1), (331, 1), (373, 3), (516, 1), (708, 1), (709, 1), (744, 1), (812, 1), (1325, 1), (1498, 1), (1506, 1), (1556, 1), (1559, 1), (1578, 1), (1817, 1), (1834, 1), (2184, 1), (2819, 1), (2965, 1), (3438, 1), (3810, 1), (4299, 1), (4556, 1), (4674, 1), (6225, 1), (8097, 1), (8437, 1), (11218, 1), (12327, 1), (12606, 1), (12607, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (30, 1), (37, 1), (45, 2), (50, 4), (53, 5), (56, 1), (77, 1), (90, 1), (99, 1), (109, 1), (185, 1), (190, 1), (261, 1), (331, 1), (355, 1), (414, 1), (418, 1), (432, 1), (827, 1), (1325, 1), (1766, 1), (1893, 1), (2681, 1), (2965, 1), (2985, 1), (3756, 1), (3760, 1), (4295, 1), (4854, 1), (6538, 1), (7745, 1), (12090, 1), (12608, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (25, 1), (30, 1), (31, 3), (32, 1), (45, 3), (50, 1), (53, 3), (65, 1), (77, 2), (108, 1), (161, 1), (185, 1), (337, 1), (452, 1), (626, 1), (897, 1), (1024, 1), (1082, 1), (1196, 1), (1626, 1), (2126, 1), (3043, 1), (3121, 1), (4544, 1), (5375, 1), (7305, 1), (11922, 1), (11987, 2), (12609, 1), (12610, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 2), (30, 1), (36, 1), (45, 1), (50, 2), (53, 1), (77, 2), (190, 1), (256, 1), (287, 1), (307, 1), (310, 1), (373, 1), (406, 1), (414, 1), (527, 1), (581, 1), (654, 1), (686, 1), (1308, 1), (1348, 1), (1377, 1), (1766, 1), (1820, 1), (1877, 1), (2962, 1), (3129, 1), (3419, 1), (3594, 1), (3756, 1), (4286, 1), (9026, 1), (10794, 1), (11424, 1), (11430, 1), (12564, 1), (12611, 1), (12612, 1), (12613, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (50, 1), (91, 1), (99, 1), (186, 1), (418, 1), (800, 1), (885, 1), (1072, 1), (2768, 1), (5986, 1), (9590, 1), (12614, 1)], [(7, 1), (8, 1), (19, 1), (20, 10), (22, 2), (23, 1), (31, 2), (45, 4), (50, 3), (53, 2), (55, 1), (56, 1), (58, 2), (65, 1), (71, 1), (91, 1), (108, 2), (117, 2), (173, 2), (182, 1), (185, 1), (215, 1), (222, 2), (232, 1), (256, 1), (261, 1), (273, 1), (285, 2), (328, 1), (444, 1), (452, 1), (812, 2), (827, 1), (829, 1), (1005, 1), (1325, 1), (1354, 3), (1377, 1), (1458, 1), (1499, 1), (1668, 1), (1685, 2), (1756, 2), (1867, 1), (2005, 1), (2157, 1), (2655, 1), (2785, 1), (3378, 1), (3500, 1), (3700, 1), (3837, 1), (3999, 1), (4666, 1), (7057, 1), (7839, 1), (8260, 1), (12378, 1), (12615, 1), (12616, 1), (12617, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (21, 1), (25, 1), (31, 1), (46, 1), (50, 1), (53, 2), (108, 1), (111, 1), (117, 1), (172, 1), (217, 1), (225, 1), (232, 1), (240, 1), (273, 1), (278, 1), (328, 2), (414, 1), (418, 1), (516, 1), (531, 1), (983, 1), (1139, 1), (1325, 1), (1366, 1), (1416, 1), (1616, 1), (1867, 2), (2691, 1), (3149, 1), (3349, 1), (3594, 1), (3828, 1), (6060, 1), (6359, 1), (6402, 1), (7895, 1), (10020, 1), (12017, 1), (12618, 1)], [(1544, 1), (12619, 1)], [(8, 1), (24, 1), (65, 1), (117, 1), (232, 1), (12620, 1), (12621, 1), (12622, 1)], [(10, 1), (11, 1), (439, 1), (1153, 1), (1406, 1), (12623, 1), (12624, 1), (12625, 1)], [(8, 1), (18, 1), (20, 3), (24, 1), (25, 1), (31, 1), (37, 1), (50, 2), (53, 1), (77, 1), (99, 1), (124, 1), (161, 1), (289, 1), (328, 1), (334, 1), (404, 1), (410, 1), (415, 1), (448, 1), (516, 1), (833, 1), (1095, 1), (1122, 1), (1139, 1), (1476, 1), (1596, 1), (1600, 1), (2206, 1), (3642, 1), (4057, 1), (5670, 1), (8313, 1), (9954, 1), (11336, 1)], [(8, 1), (20, 1), (53, 2), (54, 2), (65, 2), (82, 1), (90, 1), (122, 1), (174, 1), (337, 1), (452, 1), (1460, 1), (2265, 1), (3413, 1), (5052, 1), (7442, 1), (7470, 1), (11046, 1), (12620, 1), (12622, 1), (12626, 1)], [(7, 1), (8, 1), (54, 1), (69, 1), (1156, 1), (5236, 1), (7587, 1), (12627, 1)], [(1, 1), (4, 1), (8, 1), (50, 1), (53, 1), (90, 1), (276, 1), (359, 1), (434, 1), (1322, 1), (1485, 1), (2933, 1), (3352, 1), (4629, 1), (12628, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 2), (31, 1), (32, 1), (50, 4), (53, 4), (54, 1), (55, 1), (65, 1), (72, 1), (95, 1), (97, 2), (117, 1), (193, 1), (214, 1), (232, 1), (233, 1), (269, 1), (293, 1), (332, 1), (448, 2), (526, 1), (553, 1), (600, 1), (756, 1), (834, 1), (903, 1), (1391, 1), (1884, 1), (1909, 1), (2725, 1), (2744, 1), (3678, 1), (5816, 1), (8216, 1), (9481, 1), (10515, 1), (12325, 1), (12388, 1), (12620, 1), (12622, 1), (12629, 1), (12630, 1), (12631, 1)], [(8, 1), (19, 1), (20, 3), (45, 1), (50, 2), (53, 3), (55, 1), (71, 2), (72, 1), (96, 1), (106, 1), (111, 1), (229, 1), (410, 1), (812, 1), (830, 1), (1041, 1), (1596, 1), (1597, 1), (1904, 1), (2514, 1), (3678, 1), (3934, 1), (5089, 1), (6315, 1), (7088, 1), (9621, 1), (9848, 1), (10673, 1), (11658, 1), (12632, 1)], [(8, 1), (19, 1), (50, 2), (53, 3), (54, 1), (65, 1), (90, 1), (286, 1), (1325, 1), (1377, 1), (1596, 1), (1884, 1), (3041, 1), (7088, 1), (12620, 1), (12622, 1)], [(8, 1), (19, 1), (20, 6), (25, 1), (31, 2), (45, 1), (50, 5), (53, 3), (54, 2), (55, 1), (58, 3), (82, 1), (90, 3), (122, 1), (166, 1), (173, 2), (240, 1), (256, 1), (269, 1), (283, 1), (289, 1), (293, 1), (420, 1), (675, 1), (697, 1), (709, 1), (778, 1), (975, 1), (1224, 1), (1248, 1), (1799, 1), (2224, 1), (2656, 1), (2820, 1), (3035, 1), (3130, 1), (6695, 1), (8103, 2), (10936, 1), (12633, 1), (12634, 1), (12635, 1), (12636, 1), (12637, 1), (12638, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (25, 1), (31, 2), (50, 1), (53, 4), (58, 3), (65, 1), (90, 2), (117, 1), (172, 1), (185, 2), (232, 1), (263, 1), (293, 3), (317, 1), (323, 1), (387, 1), (399, 1), (414, 1), (426, 1), (459, 1), (531, 1), (711, 2), (744, 1), (792, 1), (812, 1), (834, 1), (904, 1), (1042, 1), (1196, 1), (2466, 1), (2820, 1), (2847, 1), (3633, 1), (3814, 1), (3828, 1), (5467, 1), (6129, 2), (6518, 1), (7088, 1), (11132, 1), (12639, 1), (12640, 1), (12641, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (31, 1), (32, 1), (50, 1), (53, 3), (55, 1), (185, 2), (215, 1), (414, 2), (709, 1), (741, 1), (1041, 1), (1884, 1), (2140, 1), (2184, 1), (2847, 1), (2985, 1), (3923, 1), (4620, 1), (6112, 1), (10827, 1), (12632, 1), (12642, 1), (12643, 1), (12644, 1), (12645, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (24, 1), (31, 1), (53, 2), (65, 2), (95, 2), (109, 1), (212, 1), (281, 1), (317, 1), (706, 1), (763, 1), (1471, 1), (1702, 1), (2240, 1), (2839, 1), (3020, 1), (7742, 1), (9248, 1), (12646, 1), (12647, 1), (12648, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (23, 2), (31, 1), (50, 2), (53, 3), (58, 1), (65, 1), (97, 1), (117, 2), (193, 1), (232, 2), (269, 1), (281, 1), (286, 1), (292, 1), (311, 1), (776, 1), (1580, 2), (2310, 1), (2336, 1), (3102, 1), (3634, 1), (3800, 1), (4382, 1), (5247, 1), (7643, 1), (8024, 1), (9018, 1), (9464, 1), (11202, 1), (12632, 1), (12649, 1), (12650, 1), (12651, 1), (12652, 1), (12653, 1)], [(8, 1), (20, 4), (22, 1), (25, 3), (53, 4), (55, 1), (97, 1), (193, 1), (214, 1), (414, 1), (459, 1), (506, 1), (711, 1), (834, 1), (1169, 1), (1342, 1), (2140, 1), (2187, 1), (2217, 1), (2235, 1), (2241, 1), (3319, 1), (4674, 1), (4982, 1), (9767, 1), (9957, 1), (12654, 1), (12655, 1), (12656, 1), (12657, 1), (12658, 1)], [(8, 1), (19, 2), (20, 5), (23, 1), (31, 1), (50, 2), (53, 3), (54, 1), (64, 1), (65, 1), (82, 1), (97, 1), (99, 1), (109, 1), (117, 1), (185, 1), (226, 1), (228, 1), (242, 1), (324, 1), (410, 1), (412, 1), (418, 1), (452, 1), (609, 1), (752, 1), (757, 1), (763, 1), (1155, 1), (1253, 1), (1361, 1), (1580, 1), (2178, 1), (2225, 1), (2310, 1), (3762, 1), (8343, 1), (9595, 1), (9866, 1), (12408, 1), (12620, 1), (12622, 1), (12649, 1), (12659, 1), (12660, 1), (12661, 1)], [(8, 1), (19, 1), (50, 1), (53, 2), (54, 1), (831, 1), (1156, 1), (3289, 1), (11454, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (53, 1), (54, 1), (58, 1), (90, 1), (124, 1), (281, 1), (336, 1), (353, 1), (680, 1), (833, 1), (1133, 1), (1159, 1), (1322, 1), (1867, 1), (2440, 1), (2926, 1), (6436, 1), (8001, 1), (9348, 1), (11695, 1), (12662, 1)], [(8, 1), (18, 1), (20, 1), (65, 1), (74, 1), (347, 1), (369, 1), (530, 1), (896, 1), (1159, 1), (9866, 1), (12663, 1)], [(7, 1), (8, 1), (19, 1), (20, 9), (22, 3), (25, 4), (30, 1), (31, 2), (37, 1), (53, 7), (54, 2), (58, 2), (82, 3), (90, 1), (91, 1), (108, 1), (124, 1), (166, 1), (169, 1), (193, 3), (215, 2), (256, 2), (268, 1), (301, 1), (310, 1), (337, 1), (412, 1), (426, 1), (448, 1), (452, 1), (709, 1), (711, 1), (827, 2), (834, 1), (897, 1), (1102, 1), (1159, 1), (1270, 1), (1298, 1), (1308, 1), (1325, 1), (1450, 1), (1498, 1), (1589, 1), (1702, 1), (1824, 1), (1867, 1), (1964, 1), (2126, 1), (2178, 2), (2197, 1), (2348, 1), (2366, 1), (2785, 1), (2868, 1), (2934, 1), (2967, 1), (3101, 1), (3294, 1), (3378, 1), (3469, 1), (3574, 1), (3830, 1), (4299, 1), (5368, 1), (5801, 2), (5939, 2), (7763, 1), (7824, 1), (11695, 1), (12664, 1), (12665, 1), (12666, 1), (12667, 1), (12668, 1), (12669, 1)], [(8, 1), (19, 1), (20, 5), (25, 1), (32, 1), (37, 1), (45, 1), (53, 3), (85, 1), (90, 1), (108, 1), (172, 1), (241, 1), (289, 1), (293, 1), (316, 1), (328, 1), (399, 1), (448, 1), (752, 1), (1087, 1), (1324, 1), (1325, 1), (1931, 1), (2296, 1), (6060, 1), (6091, 1), (6165, 1), (10731, 1), (12670, 1), (12671, 1)], [(7, 1), (8, 1), (20, 6), (22, 1), (25, 2), (37, 1), (45, 3), (50, 2), (53, 5), (54, 1), (64, 1), (65, 2), (82, 1), (90, 1), (91, 1), (166, 1), (173, 1), (193, 2), (268, 1), (285, 1), (307, 1), (414, 1), (454, 1), (459, 1), (462, 1), (504, 2), (600, 1), (607, 1), (687, 1), (697, 1), (709, 2), (739, 1), (743, 1), (792, 1), (812, 1), (827, 1), (834, 1), (1043, 1), (1081, 1), (1159, 2), (1594, 1), (1824, 1), (1877, 1), (2117, 1), (2515, 1), (3121, 1), (3300, 1), (5801, 1), (6596, 1), (7110, 1), (11461, 1), (11695, 1), (11781, 1), (12672, 1), (12673, 1)], [(7, 1), (8, 1), (18, 2), (20, 7), (25, 2), (31, 1), (37, 1), (50, 4), (53, 7), (58, 1), (65, 1), (82, 1), (108, 1), (109, 1), (185, 1), (193, 1), (202, 1), (217, 1), (240, 1), (256, 1), (347, 2), (359, 1), (452, 1), (654, 1), (827, 1), (841, 1), (1043, 1), (1159, 1), (1572, 1), (1661, 1), (1732, 1), (2216, 1), (2272, 1), (2985, 1), (3052, 1), (3409, 1), (3899, 1), (4115, 1), (7179, 1), (8239, 1), (8314, 1), (10593, 1), (11875, 1), (12255, 1), (12271, 1), (12620, 1), (12622, 1), (12674, 1), (12675, 1), (12676, 1), (12677, 1), (12678, 1), (12679, 1), (12680, 1)], [(247, 1), (1563, 1), (3786, 1), (12674, 1), (12675, 1)], [(18, 1), (20, 2), (25, 1), (77, 2), (96, 1), (1139, 1), (4779, 1), (12674, 1), (12675, 1), (12681, 1)], [(8, 1), (20, 1), (31, 1), (45, 1), (50, 1), (233, 1), (2433, 1), (2690, 1), (3335, 1), (3613, 1), (6983, 1), (12656, 1)], [(8, 1), (20, 2), (21, 2), (22, 1), (23, 1), (37, 1), (50, 2), (53, 1), (64, 1), (71, 1), (84, 1), (90, 1), (99, 1), (256, 1), (292, 1), (324, 1), (569, 1), (809, 1), (830, 1), (1549, 1), (1627, 1), (2772, 1), (3613, 1), (5287, 1), (12682, 1), (12683, 1), (12684, 1), (12685, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 1), (25, 2), (29, 1), (31, 2), (37, 1), (40, 1), (50, 2), (51, 1), (53, 2), (55, 1), (65, 4), (84, 1), (85, 1), (90, 1), (161, 1), (185, 1), (215, 2), (217, 1), (240, 1), (324, 1), (346, 1), (347, 1), (355, 1), (405, 1), (430, 1), (583, 1), (752, 1), (829, 1), (834, 1), (1248, 1), (1348, 1), (1732, 1), (1824, 1), (1927, 1), (2228, 1), (2238, 1), (4130, 1), (4851, 1), (5957, 1), (6155, 1), (6268, 1), (6877, 1), (8302, 1), (9866, 1), (12675, 1), (12686, 1), (12687, 1), (12688, 1), (12689, 1), (12690, 1)], [(8, 1), (20, 6), (22, 1), (25, 5), (31, 1), (50, 5), (53, 1), (55, 2), (65, 2), (117, 1), (228, 2), (232, 1), (286, 1), (450, 1), (516, 1), (518, 1), (531, 1), (583, 2), (680, 1), (834, 1), (1041, 1), (1130, 1), (1262, 1), (1932, 2), (2488, 1), (2533, 1), (6846, 1), (7594, 1), (8948, 1), (12682, 1), (12691, 1), (12692, 1), (12693, 1), (12694, 1), (12695, 1), (12696, 1), (12697, 1), (12698, 1), (12699, 1), (12700, 1)], [(7, 5), (8, 1), (18, 1), (19, 3), (20, 16), (22, 11), (25, 8), (31, 2), (37, 2), (49, 1), (50, 9), (53, 13), (55, 1), (65, 2), (77, 1), (84, 1), (85, 2), (90, 1), (96, 1), (108, 2), (109, 2), (161, 1), (172, 2), (174, 1), (193, 1), (201, 1), (212, 1), (214, 5), (215, 6), (226, 1), (228, 1), (240, 1), (246, 2), (260, 1), (263, 2), (281, 1), (328, 1), (334, 1), (405, 1), (418, 1), (450, 3), (516, 2), (530, 1), (643, 1), (670, 1), (691, 1), (696, 1), (709, 2), (711, 8), (800, 1), (829, 1), (834, 1), (860, 1), (922, 1), (1041, 1), (1106, 1), (1116, 1), (1122, 2), (1139, 1), (1144, 1), (1284, 1), (1506, 1), (1551, 1), (1596, 1), (1651, 1), (1668, 1), (1685, 1), (1734, 2), (1789, 1), (1879, 1), (1947, 1), (2030, 1), (2089, 1), (2168, 2), (2332, 1), (2402, 1), (2526, 1), (2615, 1), (2646, 1), (2895, 1), (3034, 1), (3887, 1), (3955, 1), (4079, 1), (4143, 1), (4438, 1), (4652, 1), (4930, 1), (5151, 1), (5368, 1), (5473, 1), (5485, 1), (5585, 1), (5586, 1), (5667, 1), (5716, 1), (5738, 1), (5883, 1), (5952, 1), (6043, 1), (6089, 1), (6162, 1), (6170, 1), (6609, 1), (7181, 1), (7513, 1), (7612, 1), (7628, 1), (7652, 1), (8123, 1), (8370, 1), (9104, 1), (9567, 1), (9779, 1), (10471, 1), (10488, 1), (10492, 1), (12047, 1), (12674, 1), (12701, 1), (12702, 1), (12703, 1), (12704, 1), (12705, 1), (12706, 1), (12707, 1), (12708, 1), (12709, 1), (12710, 1), (12711, 1), (12712, 1), (12713, 1), (12714, 1), (12715, 1), (12716, 1), (12717, 1), (12718, 1), (12719, 1), (12720, 1), (12721, 1), (12722, 1), (12723, 1), (12724, 1), (12725, 1), (12726, 1), (12727, 1), (12728, 1), (12729, 1), (12730, 1), (12731, 1), (12732, 1), (12733, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (50, 1), (54, 1), (65, 2), (161, 1), (215, 2), (289, 1), (531, 2), (583, 2), (1090, 1), (1102, 1), (2168, 2), (4789, 1), (5339, 1), (6394, 1), (6877, 1), (9866, 1), (12677, 1), (12734, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 2), (30, 1), (31, 2), (45, 2), (50, 2), (53, 3), (54, 1), (65, 2), (84, 1), (108, 1), (109, 1), (172, 1), (173, 3), (174, 1), (193, 1), (215, 2), (263, 1), (310, 1), (324, 1), (331, 1), (337, 1), (347, 1), (365, 1), (414, 1), (505, 1), (830, 1), (1102, 2), (1116, 1), (1155, 1), (1262, 1), (1361, 1), (1448, 1), (1824, 1), (1929, 1), (2186, 1), (2351, 1), (3324, 1), (5453, 1), (5733, 1), (5784, 1), (6462, 1), (7129, 1), (7437, 1), (7671, 1), (7824, 1), (9050, 1), (9513, 1), (12405, 1), (12676, 1), (12735, 1), (12736, 1), (12737, 1), (12738, 1), (12739, 1)], [(7, 2), (8, 1), (18, 3), (20, 5), (22, 2), (25, 2), (50, 2), (53, 1), (54, 1), (55, 1), (65, 1), (77, 1), (90, 1), (97, 1), (117, 1), (167, 1), (174, 1), (185, 3), (217, 1), (232, 1), (323, 1), (347, 1), (448, 1), (601, 1), (645, 1), (813, 1), (970, 1), (1090, 1), (1102, 1), (1308, 1), (1742, 1), (1820, 1), (1824, 1), (2012, 1), (2178, 1), (2440, 1), (2693, 1), (2785, 1), (3826, 1), (4785, 1), (4944, 1), (5874, 1), (6489, 1), (8154, 1), (11496, 1), (12675, 1), (12677, 1), (12700, 1), (12740, 1), (12741, 1), (12742, 1), (12743, 1), (12744, 1)], [(8, 1), (20, 4), (21, 1), (22, 1), (25, 2), (37, 1), (54, 1), (99, 1), (173, 1), (256, 2), (292, 1), (293, 1), (347, 1), (353, 1), (809, 1), (1348, 1), (1820, 1), (2359, 1), (2362, 1), (3221, 1), (3762, 1), (9866, 1), (12676, 1), (12677, 1), (12745, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (53, 3), (54, 1), (64, 1), (65, 1), (82, 1), (90, 1), (108, 1), (111, 2), (117, 1), (122, 1), (124, 2), (193, 2), (197, 1), (215, 1), (232, 1), (256, 1), (293, 1), (337, 1), (361, 2), (418, 1), (531, 1), (833, 1), (903, 1), (1137, 1), (1159, 2), (1308, 1), (1365, 1), (1458, 1), (2361, 1), (4557, 1), (5801, 1), (6775, 1), (9947, 1), (10995, 1), (11695, 1), (12620, 1), (12622, 1), (12746, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (22, 1), (25, 2), (31, 2), (37, 1), (45, 2), (50, 4), (53, 4), (58, 2), (71, 1), (84, 1), (90, 3), (108, 1), (173, 1), (203, 1), (285, 2), (342, 1), (414, 1), (448, 1), (450, 1), (516, 1), (583, 1), (697, 1), (743, 1), (812, 1), (877, 1), (884, 1), (1102, 1), (1116, 1), (1224, 1), (1354, 1), (1458, 1), (1607, 1), (1702, 1), (1774, 1), (1800, 1), (1943, 1), (2064, 1), (2705, 1), (2795, 1), (2981, 1), (2985, 1), (3034, 1), (3301, 1), (3681, 1), (3813, 1), (4575, 1), (5173, 1), (5566, 1), (6808, 1), (7420, 1), (8975, 1), (12747, 1), (12748, 1), (12749, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (25, 1), (31, 2), (50, 1), (53, 2), (58, 2), (65, 1), (77, 3), (90, 1), (91, 1), (99, 1), (108, 2), (109, 1), (111, 1), (161, 1), (193, 1), (253, 1), (260, 1), (263, 1), (355, 1), (406, 1), (415, 1), (450, 1), (504, 2), (518, 1), (694, 1), (791, 1), (1348, 1), (1488, 1), (1937, 1), (2515, 1), (2543, 1), (2712, 1), (3043, 1), (3311, 1), (3830, 1), (3978, 1), (4705, 1), (6950, 1), (7324, 1), (7906, 1), (8209, 1), (9866, 1), (10340, 1), (12750, 1), (12751, 1), (12752, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (31, 1), (50, 2), (53, 1), (77, 2), (85, 1), (90, 1), (122, 1), (262, 1), (420, 1), (448, 2), (452, 1), (488, 1), (697, 1), (834, 1), (884, 1), (1159, 1), (1308, 1), (1325, 1), (1596, 1), (2055, 1), (2280, 1), (3882, 1), (4652, 1), (5918, 1), (6599, 1), (8243, 1)], [(7, 2), (8, 1), (20, 1), (22, 2), (31, 1), (50, 1), (53, 2), (54, 2), (55, 1), (58, 1), (64, 1), (65, 1), (124, 1), (185, 1), (217, 1), (293, 1), (328, 1), (347, 1), (420, 1), (448, 1), (697, 1), (776, 1), (894, 1), (1159, 2), (1572, 1), (1613, 1), (2221, 1), (2916, 1), (3121, 1), (3409, 1), (3726, 1), (4488, 1), (5801, 1), (6084, 1), (11828, 1), (12620, 1), (12622, 1), (12676, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (36, 1), (53, 2), (71, 1), (197, 1), (240, 1), (697, 1), (1261, 1), (1587, 1), (1630, 1), (3867, 1), (5664, 1), (5921, 1), (8031, 1), (9065, 1), (12753, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (23, 1), (25, 1), (45, 1), (50, 2), (54, 1), (90, 1), (99, 1), (111, 1), (161, 2), (185, 1), (215, 3), (229, 1), (237, 1), (346, 1), (365, 1), (405, 1), (414, 2), (581, 1), (813, 1), (884, 2), (2442, 1), (2622, 1), (3138, 1), (3459, 1), (3804, 1), (5857, 1), (6342, 1), (7096, 1), (8224, 1), (9866, 1), (12676, 1), (12754, 1), (12755, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (45, 1), (50, 3), (53, 3), (54, 1), (58, 1), (90, 1), (173, 1), (185, 1), (192, 1), (410, 1), (414, 1), (420, 1), (448, 1), (709, 1), (827, 1), (1159, 1), (1308, 1), (1596, 1), (1607, 1), (2820, 1), (5837, 1), (6480, 1), (7179, 1), (12102, 1), (12318, 1)], [(7, 1), (8, 1), (20, 4), (21, 1), (22, 1), (25, 1), (31, 1), (53, 5), (54, 1), (55, 1), (65, 1), (85, 1), (90, 2), (91, 1), (109, 1), (161, 1), (185, 1), (193, 2), (215, 2), (241, 1), (268, 1), (300, 2), (328, 1), (399, 1), (414, 2), (420, 1), (450, 1), (459, 1), (676, 1), (680, 1), (704, 1), (706, 1), (711, 2), (1329, 1), (1392, 1), (1764, 1), (2064, 1), (2296, 1), (2680, 1), (2868, 1), (2917, 1), (2953, 1), (3121, 1), (3611, 1), (4575, 1), (7362, 1), (8341, 1), (9155, 1), (9866, 1), (9916, 1), (10699, 1), (11695, 2), (12756, 1), (12757, 1), (12758, 1), (12759, 1), (12760, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (21, 1), (22, 2), (25, 4), (31, 3), (45, 2), (50, 5), (53, 1), (56, 1), (57, 1), (58, 2), (64, 1), (65, 1), (71, 1), (77, 1), (82, 1), (90, 3), (91, 1), (99, 1), (111, 1), (117, 1), (172, 1), (173, 3), (185, 1), (190, 1), (195, 1), (215, 1), (232, 1), (240, 1), (269, 1), (305, 1), (310, 1), (346, 1), (420, 1), (452, 1), (504, 1), (531, 1), (600, 1), (645, 1), (687, 1), (725, 1), (777, 1), (884, 1), (885, 1), (908, 1), (1180, 1), (1600, 1), (1909, 1), (3034, 1), (3138, 1), (3255, 1), (4666, 1), (4734, 1), (5455, 1), (6048, 1), (6846, 1), (8399, 1), (9221, 1), (9394, 1), (9460, 1), (9896, 1), (11645, 1), (12761, 1), (12762, 1), (12763, 1), (12764, 1), (12765, 1), (12766, 1), (12767, 1)], [(8, 1), (18, 7), (19, 1), (20, 8), (22, 1), (25, 5), (27, 1), (29, 1), (30, 1), (31, 1), (37, 1), (50, 2), (53, 1), (54, 1), (55, 1), (58, 1), (97, 1), (107, 1), (117, 2), (173, 1), (185, 1), (193, 1), (215, 1), (217, 1), (232, 2), (324, 1), (347, 2), (353, 1), (507, 1), (516, 2), (706, 1), (830, 1), (1628, 1), (2344, 1), (2434, 1), (2495, 1), (2775, 1), (3762, 1), (4670, 1), (4889, 1), (5339, 1), (5452, 1), (6503, 1), (7547, 1), (8146, 1), (9336, 1), (9866, 2), (10820, 1), (10948, 1), (12677, 2), (12768, 2), (12769, 1), (12770, 1), (12771, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (53, 1), (54, 1), (215, 4), (301, 1), (1572, 1), (1824, 1), (4221, 1), (4428, 1), (5858, 1), (8481, 1), (9542, 1), (12676, 1)], [(8, 1), (20, 1), (25, 1), (36, 1), (58, 1), (82, 1), (792, 1), (1161, 1), (1644, 1), (12677, 2)], [(8, 1), (19, 1), (20, 3), (30, 1), (42, 1), (45, 1), (53, 4), (54, 1), (55, 2), (64, 1), (82, 1), (173, 1), (193, 1), (215, 1), (256, 1), (414, 1), (707, 1), (1572, 1), (2348, 1), (2656, 1), (3542, 1), (4295, 1), (7384, 1), (8007, 1), (10340, 1), (12675, 1), (12772, 1), (12773, 1), (12774, 1)], [(8, 1), (18, 3), (20, 5), (22, 1), (25, 1), (50, 1), (58, 1), (117, 2), (172, 1), (185, 1), (232, 2), (269, 1), (295, 1), (498, 1), (1563, 1), (1579, 1), (1580, 1), (1867, 1), (4388, 1), (4390, 1), (4469, 1), (4939, 1), (5801, 1), (7288, 1), (12775, 1)], [(20, 1), (53, 1), (58, 1), (117, 1), (232, 1), (247, 1), (345, 1), (639, 1), (3832, 1), (12776, 1)], [(20, 2), (23, 1), (51, 1), (58, 1), (96, 1), (108, 1), (117, 1), (203, 1), (232, 1), (247, 1), (287, 1), (295, 1), (600, 1), (2145, 1), (12777, 1), (12778, 1)], [(8, 1), (25, 1), (45, 1), (50, 1), (53, 1), (58, 1), (173, 1), (347, 1), (454, 1), (703, 1), (713, 1), (1324, 1), (1587, 1), (1596, 1), (6165, 1)], [(8, 1), (18, 1), (20, 6), (22, 3), (23, 1), (24, 1), (25, 4), (32, 1), (50, 2), (53, 3), (55, 1), (65, 4), (74, 3), (77, 1), (82, 1), (90, 1), (96, 1), (117, 2), (173, 1), (193, 2), (214, 1), (232, 1), (316, 1), (369, 1), (608, 1), (626, 1), (702, 1), (709, 1), (726, 1), (1308, 1), (1458, 1), (1978, 1), (2320, 1), (2442, 1), (2502, 1), (2666, 1), (2795, 1), (2906, 1), (2911, 1), (2985, 1), (3685, 1), (3930, 1), (10287, 1), (10356, 1), (12779, 1), (12780, 1), (12781, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (30, 1), (32, 1), (51, 1), (117, 2), (226, 1), (459, 1), (869, 1), (1075, 1), (1963, 1), (2145, 1), (2906, 1), (4251, 1), (12777, 1), (12782, 1)], [(8, 1), (20, 1), (23, 1), (30, 1), (45, 1), (53, 1), (55, 1), (117, 1), (167, 1), (530, 1), (581, 1), (2145, 1), (9720, 1), (11855, 1), (12783, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (51, 1), (117, 1), (173, 1), (232, 1), (278, 1), (301, 1), (1628, 1), (1932, 1), (1961, 1), (10943, 1), (12777, 1)], [(8, 1), (20, 1), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (77, 1), (264, 1), (273, 1), (711, 1), (975, 1), (1695, 1), (2656, 1), (7399, 1), (12784, 1)], [(18, 1), (23, 1), (45, 1), (50, 1), (53, 1), (117, 1), (167, 1), (173, 1), (178, 1), (504, 1), (506, 1), (516, 1), (691, 1), (1075, 1), (2202, 1), (4797, 1), (5045, 1), (5176, 1)], [(247, 1), (261, 1), (324, 1), (1563, 1), (8500, 1)], [(90, 1), (96, 1), (108, 1), (117, 1), (232, 1), (2347, 1), (4779, 1), (10340, 1)], [(8, 1), (19, 1), (20, 1), (53, 1), (82, 1), (117, 1), (172, 1), (2030, 1), (2076, 1), (2539, 1), (5235, 1), (5728, 1), (12676, 1)], [(58, 1), (117, 1), (193, 1), (1324, 1), (1351, 1), (1562, 1)], [(8, 1), (18, 1), (20, 3), (117, 1), (215, 1), (233, 1), (949, 1), (4388, 1), (4390, 1), (4794, 1), (4939, 1), (10188, 1), (12677, 1)], [(20, 3), (32, 1), (117, 1), (1562, 1), (1978, 1), (7288, 1), (12785, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (50, 2), (53, 4), (54, 1), (55, 1), (58, 1), (65, 1), (90, 2), (97, 1), (117, 1), (174, 1), (232, 1), (331, 1), (450, 1), (457, 1), (505, 1), (516, 1), (600, 1), (708, 1), (999, 1), (1393, 1), (1618, 1), (1897, 1), (2030, 1), (2270, 1), (2469, 1), (4439, 1), (8533, 1), (10340, 1), (12786, 1), (12787, 1), (12788, 1), (12789, 1), (12790, 1), (12791, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (37, 1), (45, 4), (50, 1), (53, 5), (55, 1), (64, 1), (109, 1), (193, 1), (261, 1), (310, 1), (414, 1), (1227, 1), (1377, 1), (1462, 1), (2215, 1), (2332, 1), (2344, 1), (2348, 1), (2548, 1), (2656, 1), (2977, 1), (5053, 1), (7329, 1), (8425, 1), (10047, 1), (10340, 1), (10410, 1), (12675, 1), (12792, 1), (12793, 1), (12794, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (31, 1), (54, 1), (55, 1), (58, 2), (82, 1), (90, 2), (96, 1), (256, 1), (293, 1), (346, 1), (645, 1), (744, 1), (1288, 1), (2674, 1), (3034, 1), (4840, 1), (5729, 1), (9866, 1), (10879, 1), (12676, 1), (12795, 1), (12796, 1), (12797, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (25, 3), (30, 1), (53, 3), (193, 1), (281, 1), (310, 1), (441, 1), (448, 1), (742, 1), (829, 1), (1572, 1), (1615, 1), (1994, 1), (1998, 1), (2064, 1), (2543, 1), (2753, 1), (3867, 1), (3892, 1), (5760, 1), (8813, 1), (9291, 1), (12265, 1), (12798, 1), (12799, 1), (12800, 1), (12801, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (31, 2), (37, 1), (46, 1), (50, 2), (53, 2), (58, 1), (64, 1), (71, 1), (77, 2), (97, 1), (117, 1), (193, 2), (195, 1), (197, 1), (217, 1), (225, 1), (232, 1), (256, 1), (346, 1), (355, 1), (365, 1), (608, 1), (709, 1), (841, 1), (1342, 1), (2064, 1), (2702, 1), (2744, 1), (2917, 1), (3171, 1), (3181, 1), (3879, 1), (4588, 1), (4929, 1), (5224, 1), (5419, 1), (6273, 1), (9866, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 3), (53, 2), (65, 1), (77, 1), (82, 1), (283, 1), (285, 1), (365, 1), (448, 1), (450, 1), (654, 1), (763, 1), (1161, 1), (2153, 1), (2402, 1), (2820, 1), (7636, 1), (9294, 1), (9866, 1), (10443, 1), (12802, 1), (12803, 1), (12804, 1), (12805, 1)], [(8, 1), (20, 1), (31, 1), (37, 1), (50, 1), (53, 2), (71, 1), (77, 1), (185, 1), (301, 1), (328, 1), (504, 1), (1522, 1), (1978, 2), (1994, 1), (2245, 1), (3482, 1), (12806, 1), (12807, 1)], [(8, 1), (20, 4), (22, 2), (25, 1), (31, 1), (37, 1), (45, 1), (50, 3), (53, 6), (54, 1), (55, 2), (58, 1), (65, 1), (82, 1), (90, 1), (91, 1), (109, 1), (161, 1), (172, 1), (173, 1), (193, 1), (195, 1), (217, 3), (269, 1), (347, 2), (407, 1), (428, 1), (600, 1), (743, 1), (744, 1), (827, 2), (1325, 1), (1375, 1), (1903, 1), (1931, 1), (2238, 1), (2245, 1), (2625, 1), (3324, 1), (4787, 1), (5224, 1), (5617, 1), (6537, 1), (8069, 1), (9736, 1), (10555, 1), (11695, 1), (12040, 1), (12521, 1), (12620, 1), (12622, 1), (12677, 1), (12808, 1), (12809, 2), (12810, 1)], [(8, 1), (23, 1), (37, 1), (53, 1), (90, 1), (99, 1), (185, 1), (206, 1), (288, 1), (293, 1), (418, 1), (600, 1), (830, 1), (919, 1), (2036, 1), (2127, 1), (2296, 1), (3200, 1), (6112, 1), (8966, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 1), (45, 1), (53, 2), (54, 2), (64, 1), (69, 1), (124, 1), (185, 1), (215, 2), (301, 1), (328, 1), (347, 1), (392, 1), (410, 1), (602, 1), (833, 1), (902, 1), (1102, 1), (2374, 1), (2977, 1), (6604, 1), (7068, 1), (10222, 1), (12676, 1), (12677, 1), (12801, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 2), (31, 1), (37, 1), (45, 1), (53, 2), (65, 1), (95, 1), (124, 1), (170, 1), (185, 2), (190, 1), (225, 1), (289, 1), (323, 1), (420, 1), (645, 1), (709, 1), (879, 1), (1572, 1), (1960, 1), (3200, 1), (3598, 1), (4491, 1), (4666, 1), (6032, 1), (6652, 1), (12675, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (21, 2), (22, 1), (25, 4), (30, 1), (31, 2), (37, 2), (50, 1), (53, 4), (65, 2), (90, 1), (91, 1), (108, 1), (117, 1), (161, 1), (173, 3), (185, 2), (186, 2), (193, 1), (215, 3), (220, 1), (232, 1), (260, 1), (301, 1), (407, 1), (420, 2), (428, 1), (433, 1), (600, 1), (726, 1), (777, 1), (827, 1), (1227, 1), (1416, 1), (1572, 1), (1702, 1), (1878, 1), (1890, 1), (2055, 1), (2161, 1), (2222, 1), (2304, 1), (2543, 1), (2847, 1), (3072, 1), (3331, 2), (3747, 1), (4200, 1), (4237, 1), (5064, 1), (5266, 1), (5418, 1), (5649, 1), (6353, 1), (7227, 1), (8008, 1), (8384, 1), (8485, 1), (9866, 1), (10148, 1), (12373, 1), (12677, 1), (12811, 1), (12812, 1), (12813, 1), (12814, 1), (12815, 1), (12816, 1), (12817, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (25, 1), (30, 1), (31, 2), (45, 2), (53, 2), (54, 2), (58, 1), (64, 1), (82, 2), (90, 1), (173, 3), (192, 1), (285, 1), (884, 1), (966, 1), (1169, 1), (1308, 1), (1685, 1), (2064, 1), (2245, 1), (2702, 1), (2716, 1), (3091, 1), (5384, 1), (6525, 1), (6625, 1), (12818, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (37, 2), (53, 3), (82, 1), (111, 1), (173, 1), (193, 2), (215, 1), (323, 1), (331, 1), (347, 1), (361, 1), (527, 1), (654, 1), (827, 1), (884, 1), (897, 1), (1248, 1), (1579, 1), (3181, 1), (5682, 1), (9387, 1), (11695, 1), (12801, 1), (12819, 1), (12820, 1), (12821, 1)], [(7, 1), (8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (31, 1), (45, 1), (53, 1), (55, 2), (97, 1), (109, 1), (117, 1), (173, 1), (185, 1), (232, 1), (281, 1), (347, 1), (407, 1), (531, 2), (553, 1), (707, 1), (1305, 1), (1434, 1), (1699, 1), (1702, 1), (2271, 1), (2630, 1), (4583, 1), (4666, 1), (5796, 1), (6284, 1), (6495, 1), (7421, 1), (9985, 1), (12675, 1), (12676, 1), (12822, 1), (12823, 1), (12824, 1), (12825, 1), (12826, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (25, 1), (30, 2), (31, 1), (37, 1), (45, 5), (50, 2), (53, 6), (54, 1), (63, 1), (64, 1), (108, 1), (166, 1), (173, 2), (185, 1), (193, 2), (215, 1), (256, 2), (388, 2), (654, 1), (763, 1), (1057, 1), (1520, 1), (1572, 1), (1685, 1), (1702, 1), (2161, 1), (2323, 1), (2344, 1), (2752, 1), (2850, 1), (2977, 1), (3072, 1), (3525, 1), (3798, 1), (5052, 1), (5105, 1), (5169, 1), (5204, 1), (5512, 1), (6495, 1), (7309, 1), (11695, 1), (12070, 1), (12676, 1), (12677, 1), (12812, 1), (12827, 1), (12828, 1), (12829, 1), (12830, 1), (12831, 1), (12832, 1), (12833, 1), (12834, 1), (12835, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (45, 2), (53, 2), (55, 1), (64, 1), (82, 1), (823, 1), (1122, 1), (1557, 1), (1572, 1), (1611, 1), (2351, 1), (2608, 1), (4563, 1), (5225, 1), (5544, 1), (6495, 1), (6602, 1), (7329, 1), (12677, 1), (12836, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (45, 2), (53, 2), (54, 1), (55, 1), (58, 1), (75, 1), (82, 1), (90, 1), (173, 1), (201, 1), (256, 1), (268, 1), (347, 1), (531, 1), (645, 1), (708, 1), (2196, 1), (3450, 1), (3741, 1), (3864, 1), (3999, 1), (4370, 1), (6036, 1), (6671, 1), (12812, 1), (12837, 1), (12838, 1), (12839, 1)], [(19, 2), (20, 3), (22, 1), (25, 1), (30, 1), (31, 1), (32, 1), (45, 1), (53, 5), (55, 1), (90, 1), (173, 1), (185, 1), (193, 1), (215, 2), (268, 1), (289, 1), (331, 1), (347, 1), (392, 1), (414, 1), (418, 1), (420, 1), (697, 1), (776, 1), (1122, 1), (1557, 1), (1820, 1), (1943, 1), (2344, 1), (2348, 1), (2919, 1), (3389, 1), (4581, 1), (5076, 1), (6022, 1), (7184, 1), (7329, 1), (8024, 1), (8209, 1), (12675, 1), (12840, 1), (12841, 1)], [(8, 1), (1195, 1), (1563, 1)], [(8, 1), (20, 1), (23, 1), (82, 1), (99, 1), (190, 1), (823, 1), (12676, 1)], [(19, 1), (20, 1), (90, 1), (111, 1), (1170, 1), (1324, 1), (1755, 1), (1865, 1), (4797, 1), (6495, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (30, 1), (32, 1), (45, 1), (50, 2), (53, 3), (301, 1), (309, 1), (388, 1), (449, 1), (531, 1), (627, 1), (1139, 1), (1572, 1), (1702, 1), (2271, 1), (2296, 1), (3248, 1), (3378, 1), (3745, 1), (3798, 1), (6495, 1), (9957, 1), (10124, 1), (10266, 1), (10906, 1), (12675, 1), (12842, 1)], [(8, 1), (10, 1), (11, 1), (20, 3), (22, 1), (25, 1), (30, 3), (31, 1), (45, 4), (50, 2), (53, 4), (55, 1), (58, 1), (75, 1), (82, 1), (90, 1), (173, 1), (220, 1), (256, 1), (285, 1), (504, 1), (531, 1), (626, 1), (686, 1), (772, 1), (970, 1), (1596, 1), (3542, 1), (3745, 1), (3936, 1), (4791, 1), (6495, 1), (6755, 1), (9431, 1), (12319, 1), (12677, 2), (12843, 1), (12844, 1), (12845, 1), (12846, 1), (12847, 1), (12848, 1), (12849, 1)], [(7, 1), (8, 1), (20, 2), (53, 3), (108, 1), (217, 1), (301, 1), (347, 1), (2545, 1), (7086, 1), (8276, 1), (9866, 1), (12850, 1)], [(8, 1), (18, 1), (22, 2), (31, 1), (45, 1), (50, 1), (53, 6), (54, 1), (95, 1), (173, 1), (414, 1), (516, 1), (706, 1), (1021, 1), (1088, 1), (1138, 1), (1197, 1), (1415, 1), (1570, 1), (1572, 1), (3134, 1), (3936, 1), (4721, 1), (5743, 1), (6495, 1), (9731, 1), (12851, 1)], [(8, 1), (19, 1), (45, 1), (50, 2), (53, 2), (54, 1), (64, 1), (166, 1), (269, 1), (287, 1), (306, 1), (418, 1), (450, 1), (459, 1), (1139, 1), (1348, 1), (1375, 1), (2519, 1), (2965, 1), (3020, 1), (4957, 1), (5996, 1), (8336, 1), (12677, 1), (12852, 1), (12853, 1)], [(8, 1), (459, 1), (530, 1), (2479, 1), (12854, 1)], [(1562, 1), (1563, 1), (12854, 1)], [(8, 1), (2925, 1), (3613, 1), (12655, 1)], [(8, 1), (20, 1), (31, 1), (50, 1), (65, 1), (84, 1), (95, 1), (117, 1), (172, 1), (182, 1), (228, 1), (256, 1), (324, 1), (355, 1), (751, 1), (812, 1), (2030, 1), (12854, 1), (12855, 1)], [(25, 1), (96, 1), (214, 1), (323, 1), (392, 1), (711, 1), (4779, 1), (12856, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (84, 1), (214, 1), (1130, 1), (1563, 1), (3313, 1), (3613, 1), (12682, 1), (12854, 1), (12857, 1), (12858, 1)], [(50, 1), (58, 1), (172, 1), (203, 1), (2030, 1), (2705, 1), (4797, 1)], [(20, 5), (22, 1), (25, 1), (31, 1), (50, 1), (185, 1), (256, 1), (282, 1), (324, 1), (405, 1), (407, 1), (419, 1), (884, 1), (1454, 1), (1563, 1), (3034, 1), (3755, 1), (3894, 1), (4797, 1), (5970, 1), (6222, 1), (7260, 1), (8599, 1), (12859, 1)], [(1563, 1), (1714, 1), (4939, 1)], [(8, 1), (20, 2), (897, 1), (1580, 1), (2013, 1), (3613, 1), (10066, 1), (10110, 1)], [(22, 2), (23, 1), (25, 1), (65, 1), (84, 1), (96, 1), (108, 1), (117, 1), (190, 1), (214, 1), (232, 1), (281, 1), (295, 1), (452, 1), (632, 1), (744, 1), (830, 1), (1558, 1), (1580, 1), (1884, 1), (2145, 1), (2241, 1), (2270, 1), (2365, 1), (2368, 1), (2772, 1), (4797, 1), (9692, 1), (12503, 1), (12854, 1), (12860, 1)], [(7, 3), (8, 1), (20, 10), (22, 9), (25, 7), (37, 1), (50, 7), (53, 4), (64, 1), (65, 5), (69, 1), (92, 6), (108, 1), (111, 1), (174, 1), (246, 1), (269, 1), (286, 1), (313, 1), (334, 1), (394, 1), (407, 1), (414, 1), (463, 1), (505, 1), (507, 1), (516, 1), (660, 1), (777, 1), (778, 1), (800, 1), (828, 1), (834, 1), (1007, 1), (1240, 1), (1248, 1), (1270, 1), (1284, 1), (1493, 1), (1613, 1), (1716, 1), (1868, 1), (1888, 1), (1999, 1), (2198, 1), (2277, 1), (2405, 1), (2716, 1), (2743, 2), (2770, 1), (3426, 1), (3663, 1), (3700, 1), (3756, 1), (3955, 1), (4079, 1), (4585, 1), (4840, 1), (4889, 1), (5505, 1), (6572, 1), (8003, 1), (8908, 1), (9130, 1), (9866, 1), (10471, 1), (10814, 1), (11263, 1), (11430, 1), (12423, 1), (12861, 1), (12862, 1), (12863, 1), (12864, 1), (12865, 1), (12866, 1), (12867, 1), (12868, 1), (12869, 1), (12870, 1), (12871, 1), (12872, 1), (12873, 1), (12874, 1)], [(8, 1), (19, 1), (20, 3), (22, 3), (25, 1), (40, 1), (50, 1), (53, 2), (65, 1), (91, 1), (94, 1), (99, 2), (117, 1), (169, 1), (174, 1), (232, 1), (324, 2), (328, 1), (351, 1), (1139, 1), (1329, 1), (1487, 1), (2345, 1), (2729, 1), (3085, 1), (3134, 1), (3238, 1), (4401, 1), (5347, 1), (9866, 1), (10251, 1), (12875, 1), (12876, 1)], [(7, 1), (8, 1), (20, 4), (31, 1), (40, 1), (50, 2), (53, 1), (58, 1), (77, 1), (90, 1), (215, 1), (286, 1), (293, 1), (324, 1), (407, 1), (448, 1), (711, 1), (1255, 1), (3495, 1), (3756, 1), (4669, 1), (7511, 1), (8313, 1), (9866, 1), (10593, 1), (10602, 1), (10838, 1), (10961, 1), (12877, 1), (12878, 1), (12879, 1), (12880, 1)], [(18, 1), (90, 1), (1563, 1), (2909, 1), (3435, 1), (4779, 1), (12881, 1)], [(8, 1), (20, 2), (53, 1), (55, 1), (233, 1), (428, 1), (1695, 1), (2799, 1), (3613, 1), (6084, 1), (6310, 1), (12655, 1), (12882, 1), (12883, 1)], [(8, 1), (20, 1), (31, 1), (84, 1), (108, 1), (117, 1), (232, 1), (1563, 1), (2013, 1), (2532, 1), (3613, 1), (4794, 1), (5288, 1), (7059, 1), (11202, 1), (12656, 1), (12884, 1), (12885, 1), (12886, 1), (12887, 1)], [(20, 1), (117, 1), (4797, 1), (12859, 1), (12888, 1)], [(126, 1), (247, 1), (1416, 1), (1563, 1)], [(1562, 1), (12856, 1)], [(8, 1), (50, 1), (53, 1), (2265, 1), (2916, 1), (2925, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (23, 1), (31, 2), (37, 1), (50, 1), (53, 1), (81, 1), (82, 1), (90, 1), (99, 1), (108, 1), (117, 1), (172, 1), (256, 1), (268, 1), (324, 2), (359, 1), (419, 1), (434, 1), (874, 1), (949, 1), (1011, 1), (1807, 1), (1960, 1), (3814, 1), (4296, 1), (4460, 1), (4465, 1), (4804, 1), (5248, 1), (6572, 1), (11202, 1), (12889, 1), (12890, 1)], [(247, 1), (1583, 1)], [(22, 1), (25, 1), (37, 1), (53, 1), (66, 1), (82, 1), (99, 1), (185, 1), (215, 1), (791, 1), (1170, 1), (1198, 1), (1328, 1), (1685, 1), (2543, 1), (3034, 1), (4287, 1), (4363, 1), (11202, 1), (12891, 1)], [(20, 2), (21, 1), (22, 1), (25, 2), (40, 1), (64, 1), (65, 1), (66, 1), (85, 1), (108, 1), (122, 1), (124, 1), (215, 1), (256, 1), (278, 1), (324, 1), (430, 1), (833, 1), (2939, 1), (3091, 1), (3238, 1), (5807, 1), (11202, 1), (12864, 1), (12891, 1), (12892, 1)], [(8, 1), (20, 3), (22, 2), (23, 1), (50, 1), (53, 2), (172, 1), (217, 1), (241, 1), (278, 1), (328, 1), (1647, 1), (1868, 1), (3172, 1), (10074, 1), (11146, 1), (12890, 1)], [(8, 1), (3786, 1), (6656, 1), (10074, 1)], [(20, 1), (58, 1), (247, 1), (12893, 1), (12894, 1)], [(247, 1), (9692, 1), (10110, 1)], [(20, 1), (22, 1), (23, 1), (32, 1), (85, 1), (99, 1), (226, 1), (392, 1), (1458, 1), (4797, 1), (5121, 1), (10066, 1), (12895, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 1), (45, 1), (53, 1), (64, 1), (77, 1), (173, 1), (229, 1), (285, 1), (293, 1), (885, 1), (2241, 1), (4922, 1), (5543, 1), (6398, 1), (6588, 1), (8202, 1), (9866, 1), (12896, 1), (12897, 1), (12898, 1), (12899, 1)], [(8, 1), (20, 5), (25, 1), (45, 3), (53, 1), (55, 1), (65, 2), (108, 1), (173, 1), (281, 1), (412, 2), (551, 1), (1131, 1), (2064, 1), (2332, 1), (2543, 1), (4147, 1), (4216, 1), (4820, 1), (5012, 1), (6656, 1), (8358, 1), (9668, 1), (12321, 1), (12900, 1), (12901, 1), (12902, 1), (12903, 1), (12904, 1), (12905, 1), (12906, 1)], [(8, 1), (20, 1), (37, 1), (77, 1), (185, 1), (301, 1), (892, 1), (6794, 1), (12606, 1)], [(8, 1), (22, 1), (24, 1), (25, 1), (45, 2), (53, 1), (65, 1), (97, 1), (293, 1), (1130, 1), (3345, 1), (3446, 1), (3908, 1), (4715, 1), (6183, 1), (12896, 1), (12907, 1), (12908, 1), (12909, 1), (12910, 1), (12911, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 2), (82, 1), (92, 1), (97, 1), (126, 1), (173, 1), (214, 1), (1297, 1), (5012, 1), (5505, 1), (6303, 1), (7992, 1), (10471, 1), (10584, 1), (12912, 1), (12913, 1), (12914, 1), (12915, 1)], [(8, 1), (18, 4), (19, 2), (20, 3), (22, 3), (23, 2), (30, 1), (31, 1), (45, 1), (50, 4), (53, 1), (58, 1), (71, 1), (77, 1), (82, 1), (90, 1), (109, 1), (172, 1), (173, 1), (178, 1), (193, 1), (206, 1), (215, 2), (225, 1), (229, 1), (256, 1), (269, 3), (285, 1), (324, 1), (414, 1), (529, 1), (531, 1), (626, 1), (645, 1), (1069, 1), (1752, 1), (2178, 1), (2744, 1), (2883, 1), (2948, 1), (3040, 1), (3612, 1), (3756, 1), (4787, 1), (5476, 1), (5893, 1), (7761, 1), (7861, 1), (10519, 1), (10562, 1), (12854, 1), (12916, 1), (12917, 1), (12918, 1), (12919, 1), (12920, 1)], [(7, 2), (8, 1), (20, 6), (22, 1), (25, 1), (50, 3), (53, 1), (65, 1), (77, 2), (84, 2), (90, 2), (95, 1), (96, 1), (161, 1), (185, 2), (214, 1), (228, 1), (289, 1), (293, 2), (359, 1), (407, 1), (505, 1), (600, 1), (1041, 1), (2015, 1), (2096, 1), (2168, 1), (2505, 1), (3919, 1), (3980, 1), (4073, 1), (4360, 1), (4842, 1), (4903, 1), (5317, 1), (5409, 1), (7874, 1), (9866, 1), (10872, 1), (12916, 1), (12921, 1), (12922, 1), (12923, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 2), (31, 1), (37, 1), (50, 4), (53, 6), (58, 1), (65, 1), (84, 1), (90, 1), (185, 1), (193, 1), (228, 1), (407, 1), (505, 1), (518, 1), (600, 1), (1041, 1), (1164, 1), (1196, 1), (1239, 1), (1638, 1), (1690, 1), (1747, 1), (1978, 1), (1993, 1), (2036, 1), (2235, 1), (2512, 1), (2543, 1), (3043, 1), (4161, 1), (4652, 1), (5339, 1), (5898, 1), (6201, 1), (7230, 1), (8307, 1), (8640, 1), (9816, 1), (12486, 1), (12857, 1), (12924, 1), (12925, 1), (12926, 1), (12927, 1)], [(23, 1), (34, 1), (247, 1), (1563, 1)], [(23, 1), (34, 1), (1562, 1)], [(8, 1), (20, 1), (45, 2), (281, 1), (1569, 1), (3613, 1), (11841, 1), (12363, 1), (12655, 1), (12860, 1), (12928, 1), (12929, 1)], [(19, 1), (117, 1), (247, 1), (1165, 1), (1841, 1), (4839, 1)], [(8, 1), (24, 1), (56, 1), (117, 1), (232, 1), (269, 1), (11202, 1)], [(20, 2), (23, 1), (25, 1), (32, 1), (53, 3), (90, 1), (193, 1), (215, 1), (223, 1), (236, 1), (301, 1), (324, 1), (347, 1), (459, 1), (1454, 1), (1868, 1), (1884, 1), (2275, 1), (2633, 1), (4797, 1), (5653, 1), (12347, 1)], [(8, 1), (20, 2), (23, 1), (53, 2), (64, 1), (708, 1), (1139, 1), (1656, 1), (3798, 1), (9866, 1), (12675, 1), (12930, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (25, 1), (30, 1), (37, 1), (53, 3), (54, 1), (173, 2), (293, 1), (323, 1), (347, 1), (404, 1), (420, 1), (775, 1), (1248, 1), (2064, 1), (3181, 1), (3934, 1), (5806, 1), (11982, 1), (12882, 1), (12931, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (50, 1), (53, 4), (58, 1), (85, 1), (301, 1), (310, 1), (418, 1), (428, 1), (433, 1), (450, 1), (516, 1), (645, 1), (1385, 1), (1958, 1), (2825, 1), (3743, 1), (4468, 1), (6615, 1), (12854, 1), (12932, 1), (12933, 1), (12934, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (25, 3), (30, 1), (31, 1), (45, 1), (50, 2), (53, 3), (55, 2), (65, 2), (85, 1), (90, 1), (91, 1), (95, 1), (117, 1), (185, 1), (186, 1), (232, 1), (281, 1), (310, 1), (697, 1), (1325, 1), (1529, 1), (1801, 1), (2064, 1), (2075, 1), (2076, 1), (2543, 1), (2769, 1), (2965, 1), (3450, 1), (3615, 1), (3796, 1), (3994, 1), (4622, 1), (4629, 1), (6301, 1), (8008, 1), (12935, 1), (12936, 1), (12937, 1), (12938, 1), (12939, 1), (12940, 1)], [(8, 1), (19, 2), (20, 3), (25, 1), (29, 1), (45, 2), (50, 3), (53, 4), (55, 1), (58, 1), (85, 1), (173, 1), (186, 1), (428, 1), (688, 1), (1449, 1), (2359, 1), (2825, 1), (3611, 1), (3796, 1), (5368, 1), (6768, 1), (8629, 1), (9793, 1), (11665, 1), (12941, 1), (12942, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (31, 2), (37, 1), (45, 1), (53, 3), (55, 1), (65, 1), (91, 1), (108, 1), (111, 1), (206, 1), (278, 1), (289, 1), (301, 1), (365, 1), (404, 1), (410, 1), (459, 1), (686, 1), (711, 1), (829, 1), (904, 1), (1139, 1), (1239, 1), (1248, 1), (1958, 1), (2064, 1), (3549, 1), (4488, 1), (5649, 1), (7329, 1), (12677, 1), (12943, 1), (12944, 1), (12945, 1), (12946, 1), (12947, 1), (12948, 1)], [(20, 1), (50, 1), (85, 1), (90, 1), (295, 1), (967, 1), (1562, 1), (1563, 1), (3280, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (30, 1), (31, 1), (32, 1), (53, 2), (55, 1), (75, 1), (91, 1), (443, 1), (1129, 1), (1325, 1), (1633, 1), (1731, 1), (5728, 1), (7171, 1), (12836, 1)], [(20, 1), (50, 1), (65, 1), (85, 1), (90, 1), (117, 1), (295, 1), (703, 1), (1562, 1), (3280, 1), (12949, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 2), (37, 1), (45, 1), (50, 1), (53, 6), (64, 1), (71, 1), (90, 1), (108, 1), (117, 1), (166, 1), (186, 1), (232, 1), (256, 1), (285, 1), (310, 1), (328, 1), (414, 2), (983, 1), (1325, 1), (1354, 1), (1596, 1), (1685, 1), (3200, 1), (3352, 1), (3892, 1), (7654, 1), (9554, 1), (11981, 1), (12677, 2), (12944, 1), (12950, 1), (12951, 1), (12952, 1), (12953, 1), (12954, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (29, 1), (31, 1), (45, 1), (53, 2), (94, 1), (185, 1), (256, 2), (278, 1), (450, 1), (601, 1), (884, 1), (1325, 1), (1521, 1), (1702, 1), (3301, 1), (3867, 1), (5013, 1), (5434, 1), (6600, 1), (12955, 1), (12956, 1), (12957, 1)], [(19, 1), (20, 1), (82, 1), (99, 1), (419, 1), (434, 1), (504, 1), (1563, 1), (1685, 1), (3641, 1), (4779, 1), (8713, 1), (8726, 1)], [(8, 1), (450, 1), (1326, 1), (12958, 1)], [(19, 1), (247, 1), (1563, 1), (10107, 1)], [(19, 2), (23, 1), (247, 1), (268, 1), (324, 1), (885, 1), (990, 1), (1902, 1), (3301, 1), (3786, 1), (8713, 1)], [(7, 1), (18, 1), (19, 1), (20, 1), (53, 1), (99, 1), (185, 1), (193, 1), (516, 1), (708, 1), (709, 1), (1336, 1), (1342, 1), (1621, 1), (1714, 1), (2853, 1), (6601, 1)], [(19, 1), (1562, 1), (10107, 1)], [(8, 1), (18, 1), (25, 1), (124, 1), (173, 1), (776, 1), (1633, 1), (3024, 1)], [(53, 1), (709, 1), (1563, 1), (4779, 1), (12959, 1)], [(8, 1), (2925, 1), (12677, 1)], [(8, 1), (20, 1), (117, 1), (498, 1), (1159, 1), (4939, 1), (6601, 1)], [(8, 1), (18, 2), (19, 2), (20, 1), (50, 1), (65, 1), (82, 1), (99, 1), (305, 1), (434, 2), (645, 1), (1118, 1), (1540, 1), (1822, 1), (3179, 1), (4787, 1), (5085, 1), (6492, 1)], [(20, 1), (273, 1), (295, 1), (596, 1), (600, 1), (4779, 1)], [(8, 1), (19, 1), (45, 1), (1375, 1), (1574, 1)], [(8, 1), (54, 1), (126, 1), (450, 1), (939, 1), (7323, 1), (12960, 1)], [(18, 1), (19, 2), (20, 3), (22, 7), (23, 4), (24, 1), (25, 1), (30, 2), (31, 1), (32, 1), (37, 1), (45, 3), (46, 1), (53, 5), (54, 1), (58, 2), (64, 1), (82, 2), (84, 1), (85, 1), (88, 1), (117, 4), (122, 1), (172, 2), (173, 1), (185, 1), (206, 1), (215, 1), (220, 1), (226, 1), (232, 2), (305, 1), (307, 1), (310, 1), (328, 1), (414, 1), (419, 1), (506, 1), (600, 1), (601, 1), (744, 1), (759, 2), (772, 2), (834, 1), (1088, 1), (1324, 1), (1529, 1), (1714, 1), (1858, 1), (1904, 1), (1958, 1), (2011, 1), (2048, 1), (2245, 1), (2498, 1), (2716, 1), (2780, 1), (2853, 1), (3655, 1), (5639, 1), (6495, 1), (7129, 1), (11272, 1), (12063, 1), (12675, 1), (12942, 1), (12944, 1), (12961, 1), (12962, 1), (12963, 1), (12964, 1), (12965, 1)], [(8, 1), (19, 1), (20, 1), (834, 1), (1170, 1), (1580, 1), (7317, 1), (9948, 1)], [(7, 1), (18, 1), (19, 3), (20, 3), (22, 6), (25, 1), (37, 1), (53, 1), (58, 1), (71, 2), (98, 1), (117, 3), (214, 1), (256, 1), (273, 1), (324, 1), (332, 1), (419, 3), (434, 1), (600, 1), (759, 2), (990, 1), (1170, 1), (1865, 1), (1904, 1), (1907, 1), (2855, 1), (3291, 1), (4797, 1), (7086, 1), (7420, 1), (7949, 1), (9720, 1), (12966, 1), (12967, 1)], [(19, 1), (247, 1), (1563, 1), (10107, 1)], [(19, 1), (20, 2), (23, 2), (268, 1), (273, 1), (885, 1), (990, 1), (1562, 1), (12968, 1)], [(10, 1), (11, 1), (18, 2), (19, 2), (20, 7), (22, 5), (23, 1), (25, 1), (30, 1), (32, 2), (34, 1), (45, 1), (50, 2), (53, 3), (58, 1), (71, 2), (77, 1), (82, 1), (84, 2), (85, 1), (91, 1), (99, 1), (108, 1), (117, 5), (172, 1), (214, 2), (215, 3), (226, 1), (232, 1), (240, 1), (242, 1), (256, 1), (269, 1), (293, 1), (295, 2), (310, 1), (323, 1), (328, 1), (419, 5), (433, 1), (434, 1), (581, 1), (608, 1), (759, 2), (949, 1), (1069, 1), (1075, 1), (1391, 1), (1520, 1), (1563, 1), (1627, 1), (1670, 1), (1907, 1), (2853, 2), (2855, 1), (2925, 1), (3034, 1), (3287, 1), (3291, 1), (3484, 1), (3963, 1), (4794, 1), (4797, 1), (5949, 1), (8037, 1), (11473, 1), (12675, 1), (12967, 1), (12969, 1), (12970, 1)], [(19, 1), (1562, 1), (1563, 1), (10107, 1)], [(8, 1), (53, 1), (1904, 1), (5728, 1)], [(18, 4), (20, 6), (22, 1), (23, 1), (25, 2), (30, 1), (32, 1), (53, 1), (58, 1), (64, 1), (71, 1), (75, 2), (77, 1), (82, 1), (96, 1), (98, 1), (99, 2), (108, 1), (117, 3), (232, 1), (233, 1), (256, 1), (273, 1), (295, 3), (305, 1), (410, 1), (419, 2), (434, 2), (744, 1), (759, 2), (810, 1), (833, 1), (897, 1), (906, 1), (990, 1), (1057, 1), (1122, 1), (1416, 1), (1685, 1), (1822, 1), (1904, 1), (1907, 1), (1964, 1), (2143, 1), (2145, 1), (2581, 1), (3291, 1), (3316, 1), (3461, 1), (4599, 1), (4797, 1), (9127, 1), (12677, 1), (12961, 1)], [(8, 1), (20, 2), (23, 1), (50, 1), (53, 1), (55, 1), (58, 1), (117, 2), (295, 3), (310, 1), (328, 1), (428, 1), (897, 1), (1057, 1), (1563, 1), (1915, 1), (1958, 1), (2515, 1), (2854, 1), (8465, 1), (9720, 1)], [(287, 1), (295, 1), (4797, 1), (8465, 1)], [(419, 1), (1563, 1), (4779, 1), (12971, 1)], [(8, 1), (19, 1), (45, 1), (53, 1), (600, 1), (2925, 1), (12958, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (30, 1), (31, 1), (50, 1), (58, 1), (91, 1), (193, 1), (256, 1), (305, 1), (310, 1), (406, 1), (428, 2), (450, 1), (459, 1), (516, 1), (711, 1), (2276, 1), (2771, 1), (2939, 1), (4336, 1), (9289, 1), (11064, 1), (12391, 1), (12677, 1), (12972, 1), (12973, 1)], [(8, 1), (19, 2), (20, 4), (25, 3), (45, 1), (50, 2), (53, 9), (54, 1), (55, 1), (58, 1), (64, 1), (72, 1), (108, 1), (117, 1), (209, 1), (232, 1), (281, 1), (450, 1), (706, 1), (777, 1), (842, 1), (1354, 1), (1731, 1), (1904, 1), (2753, 1), (3313, 1), (3378, 1), (3542, 1), (4138, 1), (6917, 1), (7043, 1), (7171, 1), (7236, 1), (7237, 1), (7501, 1), (10044, 1), (11162, 1), (11981, 1), (12675, 1), (12780, 1), (12944, 1), (12974, 1), (12975, 1), (12976, 1)], [(8, 1), (18, 1), (20, 4), (21, 2), (25, 1), (31, 1), (53, 4), (58, 1), (78, 1), (91, 1), (111, 1), (124, 1), (281, 1), (310, 1), (323, 1), (347, 1), (414, 1), (448, 1), (884, 1), (1348, 1), (1760, 1), (1820, 1), (1889, 1), (1901, 1), (1904, 1), (2064, 1), (2157, 1), (2406, 1), (2819, 1), (2900, 1), (4576, 1), (4602, 1), (5169, 1), (5257, 1), (7237, 1), (8439, 1), (9425, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (22, 1), (25, 2), (37, 1), (53, 4), (54, 2), (58, 1), (64, 1), (65, 1), (92, 1), (97, 1), (193, 1), (337, 1), (410, 1), (601, 1), (1224, 1), (1270, 1), (1462, 1), (1613, 1), (1958, 1), (2066, 1), (2184, 1), (2343, 1), (2344, 1), (2466, 1), (2640, 1), (2849, 1), (3723, 1), (4957, 1), (6301, 1), (6364, 1), (7236, 1), (8430, 1), (12957, 1), (12977, 1), (12978, 1), (12979, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (31, 1), (50, 1), (53, 5), (92, 2), (193, 3), (246, 1), (301, 1), (323, 1), (450, 1), (600, 1), (709, 1), (1224, 1), (1665, 1), (1702, 1), (2019, 1), (2283, 1), (2285, 1), (2320, 1), (3301, 1), (3698, 1), (5169, 1), (5353, 1), (5368, 1), (8007, 1), (11695, 1), (12980, 1), (12981, 1), (12982, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (53, 3), (55, 1), (64, 1), (256, 1), (414, 1), (417, 1), (608, 1), (711, 1), (1462, 1), (1621, 1), (1904, 1), (2064, 1), (2348, 1), (2359, 1), (2874, 1), (12983, 1), (12984, 1), (12985, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 2), (50, 2), (53, 3), (54, 1), (58, 2), (65, 1), (91, 2), (281, 1), (310, 1), (337, 1), (420, 1), (459, 1), (897, 1), (1458, 1), (1510, 1), (1574, 1), (1828, 1), (1848, 1), (1889, 1), (1904, 1), (2064, 1), (2075, 1), (2469, 1), (3530, 1), (6074, 1), (9172, 1), (12986, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (22, 2), (25, 2), (53, 3), (54, 3), (108, 1), (109, 1), (185, 1), (186, 1), (197, 1), (215, 1), (256, 1), (361, 1), (404, 1), (412, 1), (414, 1), (459, 1), (600, 1), (711, 1), (897, 1), (990, 1), (1248, 1), (1856, 1), (1958, 1), (2030, 1), (2608, 1), (2855, 1), (2926, 1), (3091, 1), (4116, 1), (9387, 1), (11983, 1), (12115, 1), (12987, 1), (12988, 1), (12989, 1), (12990, 1), (12991, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (24, 1), (25, 1), (50, 2), (53, 1), (91, 1), (193, 1), (347, 1), (448, 1), (1010, 1), (1499, 1), (3744, 1), (6255, 1), (6804, 1), (8685, 1), (12256, 1), (12992, 1), (12993, 1), (12994, 1), (12995, 1), (12996, 1), (12997, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 2), (25, 1), (30, 1), (45, 2), (53, 2), (173, 1), (185, 1), (186, 1), (256, 1), (1139, 1), (1362, 1), (1377, 1), (1904, 1), (2234, 1), (2656, 1), (3176, 1), (3212, 1), (4455, 1), (7917, 1), (12677, 1), (12998, 1), (12999, 1), (13000, 1), (13001, 1)], [(8, 1), (19, 1), (50, 1), (53, 4), (83, 1), (90, 1), (91, 1), (109, 1), (186, 1), (428, 1), (1010, 1), (1248, 1), (1549, 1), (2825, 1), (2926, 1), (3454, 1), (3468, 1), (5501, 1), (6364, 1), (7051, 1), (7877, 1), (13002, 1)], [(8, 1), (459, 1), (1248, 1), (1656, 1), (7830, 1)], [(19, 1), (20, 1), (32, 1), (990, 1), (1563, 1), (3631, 1), (4779, 1)], [(8, 1), (18, 1), (53, 1), (55, 1), (233, 1), (1904, 1), (11303, 1), (13003, 1)], [(20, 1), (186, 1), (190, 1), (295, 1), (434, 1), (1458, 1), (1562, 1), (1563, 1), (13004, 1)], [(8, 1), (2925, 1), (12677, 1)], [(8, 1), (20, 1), (25, 1), (53, 2), (1563, 1), (1583, 1), (1889, 1), (1904, 1), (3052, 1), (4794, 1), (13005, 1)], [(7, 4), (8, 1), (10, 1), (11, 1), (18, 2), (19, 3), (20, 9), (22, 3), (25, 4), (30, 2), (31, 1), (45, 2), (50, 7), (53, 9), (54, 2), (55, 3), (58, 1), (64, 1), (85, 1), (90, 3), (109, 1), (122, 1), (161, 1), (174, 2), (185, 1), (193, 3), (215, 2), (269, 1), (321, 1), (347, 1), (418, 1), (422, 1), (450, 2), (504, 1), (709, 1), (742, 1), (824, 1), (860, 1), (897, 1), (1129, 1), (1287, 1), (1348, 1), (1450, 1), (1594, 1), (1820, 1), (1992, 1), (2184, 1), (2256, 1), (2344, 1), (2401, 1), (2692, 1), (2862, 1), (3064, 1), (3134, 1), (3378, 1), (4116, 1), (4322, 1), (4773, 1), (4856, 1), (5275, 1), (5299, 1), (5999, 1), (6309, 1), (7129, 1), (7912, 1), (8253, 1), (9866, 1), (10020, 1), (12677, 1), (12854, 1), (12963, 1), (13006, 1), (13007, 1), (13008, 1), (13009, 1), (13010, 1), (13011, 1), (13012, 1), (13013, 1), (13014, 1), (13015, 1), (13016, 1)], [(8, 1), (20, 3), (30, 1), (82, 1), (111, 1), (173, 2), (185, 1), (233, 1), (285, 1), (286, 1), (490, 1), (711, 1), (1377, 1), (1685, 1), (4622, 1)], [(8, 1), (31, 1), (53, 1), (54, 1), (90, 1), (173, 1), (658, 1), (743, 1), (1224, 1), (2344, 1), (2771, 1), (2920, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 3), (55, 1), (90, 1), (108, 3), (111, 1), (161, 1), (256, 1), (268, 1), (301, 1), (387, 1), (414, 1), (415, 2), (418, 1), (459, 1), (711, 2), (1485, 1), (1596, 1), (2005, 1), (2855, 1), (2966, 1), (3118, 1), (3221, 1), (11436, 1), (12997, 1), (13017, 1)], [(8, 1), (19, 1), (20, 2), (53, 3), (54, 1), (96, 1), (124, 1), (281, 1), (331, 1), (414, 1), (420, 1), (645, 1), (702, 1), (711, 1), (743, 1), (763, 1), (827, 1), (885, 1), (1129, 1), (1342, 1), (2064, 1), (4937, 1), (5943, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 2), (25, 1), (31, 1), (45, 1), (50, 1), (53, 4), (71, 1), (82, 2), (90, 1), (91, 1), (108, 2), (166, 1), (185, 1), (193, 1), (215, 2), (256, 1), (269, 2), (285, 2), (301, 1), (415, 1), (418, 1), (450, 1), (645, 1), (763, 1), (1196, 1), (1342, 1), (1375, 1), (1377, 1), (1974, 1), (2479, 1), (4456, 1), (7181, 1), (8691, 1), (9787, 1), (9899, 1), (10048, 1), (13018, 1), (13019, 1)], [(8, 1), (20, 2), (50, 1), (53, 1), (85, 1), (203, 1), (206, 1), (226, 1), (331, 1), (354, 1), (377, 1), (702, 1), (9866, 1), (13020, 1)], [(8, 1), (19, 3), (20, 7), (22, 1), (25, 1), (31, 3), (45, 1), (50, 5), (53, 6), (58, 1), (64, 1), (71, 2), (85, 1), (188, 1), (229, 1), (281, 1), (285, 1), (347, 1), (392, 1), (450, 1), (568, 1), (601, 1), (687, 1), (744, 1), (763, 1), (902, 1), (922, 1), (1102, 1), (1129, 1), (1248, 1), (1470, 1), (1628, 1), (1760, 1), (1856, 1), (1873, 1), (2344, 1), (2388, 1), (2640, 1), (2816, 1), (3121, 1), (3227, 1), (3283, 1), (3879, 1), (4547, 1), (5039, 1), (5040, 1), (6845, 1), (8715, 1), (10048, 1), (10857, 1), (11050, 1), (12997, 1), (13021, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 5), (22, 3), (25, 4), (30, 1), (31, 2), (45, 1), (46, 1), (50, 1), (53, 3), (55, 2), (85, 1), (91, 1), (108, 1), (193, 1), (301, 1), (307, 1), (329, 1), (353, 1), (415, 1), (420, 2), (428, 1), (448, 2), (450, 3), (697, 1), (711, 1), (1129, 1), (1248, 1), (1304, 1), (1415, 1), (1460, 1), (1702, 1), (1904, 1), (2344, 1), (2391, 1), (2646, 1), (2960, 1), (3375, 1), (3386, 2), (4945, 1), (5360, 1), (7088, 1), (8219, 1), (10048, 1), (11890, 1), (12677, 1), (12965, 1), (13022, 1), (13023, 1), (13024, 1), (13025, 1), (13026, 1), (13027, 1)], [(8, 1), (20, 2), (25, 3), (31, 1), (37, 1), (45, 1), (53, 3), (64, 1), (75, 1), (108, 2), (173, 1), (193, 1), (775, 1), (860, 1), (1021, 1), (1385, 1), (1958, 1), (2276, 1), (3934, 1), (6755, 1), (13028, 1), (13029, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (25, 2), (45, 1), (50, 1), (53, 4), (54, 2), (75, 1), (108, 1), (186, 1), (193, 1), (217, 1), (323, 2), (347, 1), (359, 1), (428, 1), (645, 1), (776, 1), (1010, 1), (1460, 1), (1520, 1), (1702, 1), (1973, 1), (2318, 1), (2391, 1), (3022, 1), (4491, 1), (6755, 1), (7236, 1), (8148, 1), (9983, 1), (10447, 1), (12380, 1), (12429, 1), (12958, 1), (13030, 1), (13031, 1)], [(7, 1), (8, 1), (20, 5), (22, 1), (25, 3), (37, 1), (50, 1), (53, 2), (186, 1), (206, 1), (301, 1), (328, 1), (428, 1), (459, 2), (516, 2), (632, 2), (711, 1), (893, 1), (1057, 1), (1248, 1), (1698, 1), (1794, 1), (2064, 1), (2543, 1), (2581, 1), (2891, 1), (2926, 1), (3686, 1), (6770, 1), (8322, 1), (8731, 1), (13032, 1)], [(19, 1), (20, 3), (25, 1), (53, 2), (82, 1), (91, 1), (117, 2), (285, 1), (295, 3), (307, 1), (1562, 1), (1718, 1), (1904, 1), (2925, 1), (3641, 1), (4794, 1), (5896, 1), (8500, 1), (12556, 1), (13033, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (21, 3), (22, 2), (25, 1), (31, 2), (37, 2), (53, 5), (55, 1), (58, 1), (64, 1), (90, 1), (91, 2), (97, 1), (108, 1), (109, 1), (173, 7), (236, 1), (256, 1), (268, 1), (281, 1), (285, 2), (287, 1), (293, 1), (323, 2), (347, 3), (417, 1), (422, 1), (450, 1), (498, 1), (771, 1), (772, 1), (834, 2), (1122, 1), (1326, 1), (1354, 1), (1594, 1), (1596, 1), (1685, 1), (2049, 1), (2178, 1), (2359, 1), (2874, 1), (2985, 1), (3062, 1), (4296, 1), (6110, 1), (12183, 1), (12879, 1), (12951, 1), (12997, 1), (13034, 1), (13035, 1), (13036, 1), (13037, 1), (13038, 1), (13039, 1)], [(8, 1), (18, 1), (19, 3), (20, 7), (23, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 1), (53, 6), (55, 1), (58, 1), (65, 1), (99, 2), (108, 3), (124, 1), (173, 1), (186, 1), (214, 1), (215, 2), (256, 1), (268, 1), (295, 2), (301, 1), (418, 2), (450, 1), (600, 1), (601, 1), (711, 1), (815, 1), (1057, 1), (1248, 1), (1481, 1), (1540, 1), (1563, 1), (1574, 1), (1698, 1), (1898, 1), (2043, 1), (2099, 1), (2581, 1), (4018, 1), (4286, 1), (4624, 1), (4794, 1), (5102, 1), (5714, 1), (5793, 1), (5953, 1), (7541, 1), (10753, 1), (13040, 1), (13041, 1), (13042, 1), (13043, 1), (13044, 1)], [(55, 1), (77, 1), (295, 1), (1193, 1), (1562, 1), (1563, 1), (3106, 1), (10596, 1)], [(8, 1), (20, 3), (22, 1), (77, 1), (90, 1), (99, 1), (108, 1), (117, 2), (173, 1), (186, 1), (193, 1), (256, 1), (328, 1), (691, 1), (759, 1), (1540, 1), (1580, 1), (1656, 1), (1702, 1), (1966, 1), (2241, 1), (2344, 1), (2925, 1), (3278, 1), (13045, 1)], [(20, 1), (25, 1), (45, 1), (90, 1), (96, 1), (108, 1), (109, 1), (173, 1), (273, 1), (382, 1), (434, 1), (498, 1), (581, 1), (809, 1), (1377, 1), (1755, 1), (4797, 1), (13046, 1)], [(18, 3), (20, 4), (21, 2), (23, 2), (25, 2), (31, 1), (45, 2), (50, 2), (53, 1), (58, 1), (64, 1), (77, 1), (99, 2), (117, 1), (185, 1), (233, 1), (240, 1), (273, 1), (286, 1), (353, 1), (504, 1), (506, 1), (582, 1), (596, 1), (693, 1), (706, 1), (813, 1), (897, 1), (1122, 1), (1416, 1), (1562, 1), (1594, 1), (5726, 1), (6487, 1), (6755, 1), (6807, 1), (10123, 1), (13035, 1), (13047, 1), (13048, 1), (13049, 1)], [(293, 1), (295, 1), (1563, 1), (1714, 1), (1753, 1)], [(8, 1), (19, 1), (25, 1), (34, 1), (53, 2), (55, 1), (288, 1), (295, 1), (327, 1), (506, 1), (708, 1), (897, 1), (1540, 1), (1904, 1), (3791, 1), (4124, 1), (5097, 1)], [(8, 1), (53, 1), (82, 1), (1563, 1), (4794, 1), (8543, 1), (12675, 1), (13050, 1)], [(8, 1), (23, 1), (25, 1), (53, 2), (54, 1), (108, 1), (124, 1), (203, 1), (301, 1), (626, 1), (776, 1), (1025, 1), (1540, 1), (1563, 1), (2099, 1), (4802, 1)], [(19, 2), (20, 7), (21, 2), (22, 1), (23, 1), (25, 1), (30, 2), (37, 2), (45, 1), (50, 1), (53, 3), (58, 1), (64, 1), (85, 1), (111, 1), (117, 3), (226, 1), (233, 1), (256, 1), (287, 1), (295, 1), (310, 2), (323, 1), (392, 1), (418, 1), (498, 1), (626, 1), (703, 1), (759, 1), (809, 1), (897, 1), (1075, 1), (1248, 1), (1354, 1), (1540, 1), (1685, 1), (1856, 1), (1901, 1), (1904, 1), (2064, 1), (2211, 1), (2305, 1), (2609, 1), (2744, 1), (3291, 1), (3873, 1), (4779, 1), (7043, 1), (8543, 1), (12677, 1), (13051, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (21, 1), (33, 1), (53, 3), (55, 1), (91, 1), (215, 1), (301, 1), (459, 1), (645, 1), (706, 1), (902, 1), (1572, 1), (1792, 1), (3934, 1), (4717, 1), (7115, 1), (12676, 1), (12931, 1), (13052, 1), (13053, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (31, 1), (45, 1), (53, 4), (85, 1), (90, 1), (173, 2), (256, 1), (347, 3), (414, 1), (605, 1), (1348, 1), (1820, 1), (2064, 1), (2388, 1), (2634, 1), (2648, 1), (2926, 1), (2985, 1), (4852, 1), (4933, 1), (5369, 1), (7466, 1), (12383, 1), (13054, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 2), (45, 3), (50, 1), (53, 3), (54, 1), (82, 1), (90, 1), (96, 1), (166, 1), (173, 2), (256, 1), (382, 1), (410, 1), (827, 1), (886, 1), (1325, 1), (1540, 1), (1685, 1), (1901, 1), (2153, 1), (2769, 1), (3670, 1), (4840, 1), (6221, 1), (6528, 1), (6535, 1), (6650, 1), (7629, 1), (8482, 1), (12825, 1), (13055, 1)], [(18, 1), (214, 1), (1562, 1), (1563, 1), (2705, 1), (3459, 1)], [(8, 1), (53, 1), (8543, 1), (12675, 1)], [(20, 1), (23, 1), (88, 1), (90, 1), (241, 1), (242, 1), (256, 1), (1563, 1), (4797, 1)], [(8, 1), (20, 1), (24, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 1), (420, 1), (452, 1), (1069, 1), (1395, 1), (1572, 1), (2039, 1), (2265, 1), (3257, 1), (4583, 1), (10123, 1)], [(8, 1), (20, 3), (25, 1), (36, 1), (45, 1), (50, 1), (90, 1), (98, 1), (117, 1), (124, 1), (172, 1), (188, 1), (217, 1), (232, 1), (268, 1), (353, 1), (392, 1), (601, 1), (897, 1), (1624, 1), (2178, 1), (4136, 1), (4581, 1), (10413, 1), (12677, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (24, 1), (25, 1), (37, 1), (53, 2), (215, 1), (307, 1), (310, 1), (459, 2), (600, 1), (703, 1), (897, 1), (1248, 1), (1354, 1), (2406, 1), (2734, 1), (2820, 1), (4209, 1), (11695, 1), (12185, 1), (12786, 1), (13056, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (31, 1), (53, 4), (54, 1), (55, 1), (64, 1), (82, 1), (90, 1), (186, 1), (269, 1), (337, 1), (347, 1), (361, 1), (418, 1), (420, 1), (711, 1), (1506, 1), (1958, 1), (2030, 1), (2276, 1), (2343, 1), (2345, 1), (3070, 1), (3091, 1), (3480, 1), (4729, 1), (6196, 1), (6364, 1), (9541, 1), (12501, 1), (13044, 1), (13057, 1), (13058, 1), (13059, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (53, 1), (82, 1), (91, 1), (108, 1), (117, 1), (166, 1), (193, 1), (229, 1), (232, 1), (293, 1), (310, 1), (450, 1), (459, 1), (626, 1), (709, 1), (711, 1), (742, 1), (2007, 1), (2140, 1), (2621, 1), (5125, 1), (8594, 1), (13060, 1), (13061, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (268, 1), (399, 1), (2306, 1), (2656, 1), (3136, 1), (12951, 1), (13062, 1)], [(8, 1), (18, 1), (19, 2), (20, 7), (25, 1), (26, 1), (31, 1), (37, 1), (53, 4), (58, 1), (90, 1), (117, 1), (193, 1), (232, 1), (347, 1), (420, 1), (709, 1), (711, 1), (823, 1), (903, 1), (1159, 1), (1549, 1), (1772, 1), (1997, 1), (2035, 1), (2272, 1), (2344, 1), (2919, 1), (4359, 1), (5089, 1), (6443, 1), (12677, 1), (13063, 1), (13064, 1), (13065, 1)], [(8, 1), (19, 4), (20, 3), (21, 1), (31, 2), (37, 1), (53, 2), (71, 1), (82, 1), (85, 1), (108, 1), (161, 1), (187, 1), (195, 1), (301, 1), (387, 1), (711, 1), (743, 1), (806, 1), (902, 1), (1113, 1), (1488, 1), (2265, 1), (2862, 1), (4980, 1), (10857, 1), (13066, 1), (13067, 1)], [(8, 1), (18, 2), (19, 3), (20, 6), (22, 1), (25, 4), (31, 1), (37, 1), (45, 3), (50, 3), (53, 6), (54, 2), (55, 1), (65, 2), (74, 1), (90, 1), (95, 1), (108, 2), (215, 3), (286, 1), (317, 1), (361, 1), (373, 1), (382, 1), (414, 1), (415, 1), (763, 1), (983, 1), (1088, 1), (1159, 4), (1325, 1), (1416, 1), (1477, 1), (1481, 1), (1572, 1), (1702, 1), (1731, 1), (1929, 1), (2162, 1), (2239, 1), (2855, 1), (3983, 1), (4082, 1), (4136, 2), (4379, 1), (4852, 1), (5054, 1), (5743, 1), (5801, 1), (6535, 1), (6803, 1), (8343, 1), (12620, 1), (12622, 1), (12676, 1), (13046, 1), (13052, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (25, 1), (29, 1), (30, 1), (31, 2), (37, 1), (45, 3), (50, 2), (53, 4), (54, 1), (64, 1), (173, 1), (185, 1), (193, 1), (202, 1), (229, 2), (281, 1), (301, 1), (323, 1), (347, 2), (450, 1), (645, 1), (777, 1), (813, 1), (1057, 1), (1102, 1), (2131, 1), (2466, 1), (2820, 1), (3035, 1), (3330, 1), (3923, 1), (5040, 1), (10561, 1), (12675, 1), (13016, 1), (13068, 1), (13069, 1), (13070, 1), (13071, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 1), (36, 1), (45, 2), (50, 2), (53, 7), (54, 1), (117, 1), (124, 1), (173, 1), (193, 2), (215, 1), (232, 1), (281, 1), (305, 1), (337, 1), (504, 1), (645, 1), (697, 1), (706, 1), (742, 1), (833, 1), (1011, 1), (1224, 1), (1325, 1), (1350, 1), (1476, 1), (1572, 1), (1698, 1), (1792, 1), (2343, 2), (2648, 1), (2825, 1), (4598, 1), (5943, 1), (11519, 1), (12676, 1), (12837, 1), (13069, 1)], [(8, 1), (20, 2), (25, 1), (45, 1), (50, 1), (53, 1), (111, 1), (185, 1), (269, 1), (415, 1), (418, 1), (1146, 1), (2120, 1), (2816, 1), (3030, 1), (10561, 1), (11622, 1), (12677, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (45, 1), (50, 3), (53, 6), (54, 1), (64, 1), (65, 1), (97, 1), (117, 1), (186, 1), (232, 1), (281, 1), (328, 1), (347, 1), (373, 1), (414, 1), (531, 1), (632, 1), (697, 1), (709, 1), (767, 1), (884, 1), (1069, 1), (1224, 1), (1693, 1), (1694, 1), (2064, 1), (2075, 1), (2397, 1), (7192, 1), (11958, 1), (12676, 1), (12753, 1), (13072, 1)], [(8, 1), (20, 2), (46, 1), (54, 1), (58, 1), (173, 1), (185, 1), (240, 1), (275, 1), (359, 1), (12108, 1), (13073, 1)], [(8, 1), (18, 1), (20, 1), (25, 2), (53, 3), (54, 2), (185, 1), (310, 1), (351, 1), (365, 1), (373, 1), (709, 1), (1937, 1), (2036, 2), (13074, 1)], [(8, 1), (20, 2), (25, 1), (31, 2), (45, 2), (50, 1), (53, 3), (90, 2), (97, 1), (109, 1), (117, 1), (173, 1), (193, 2), (217, 1), (285, 1), (347, 1), (361, 1), (418, 1), (702, 1), (894, 1), (985, 1), (1122, 1), (1342, 1), (2926, 1), (3026, 1), (3134, 1), (3696, 1), (4533, 1), (8234, 1), (11266, 1), (12102, 1), (12677, 1)], [(8, 1), (20, 1), (31, 2), (45, 2), (53, 1), (173, 1), (452, 1), (1901, 1), (2359, 1), (3114, 1), (3392, 1), (3532, 1), (6364, 1), (6423, 1), (13075, 1), (13076, 1)], [(99, 1), (214, 1), (316, 1), (328, 1), (596, 1), (1563, 1), (4779, 1)], [(8, 1), (18, 1), (233, 1), (2993, 1)], [(99, 1), (342, 1), (596, 1), (1563, 1), (1685, 1), (1714, 1)], [(58, 1), (96, 1), (516, 1), (1170, 1), (1747, 1), (4779, 1)], [(18, 1), (19, 1), (20, 1), (22, 1), (58, 1), (108, 1), (117, 1), (232, 1), (256, 1), (269, 1), (324, 1), (506, 1), (531, 1), (551, 1), (675, 1), (1563, 1), (2208, 1), (3657, 1), (4797, 1), (13077, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (30, 1), (53, 1), (58, 2), (117, 3), (190, 1), (193, 1), (232, 1), (233, 1), (256, 1), (307, 1), (342, 1), (406, 1), (1069, 1), (1778, 1), (1964, 1), (2084, 1), (2541, 1), (4794, 1), (12675, 1), (13078, 1)], [(20, 1), (23, 1), (99, 1), (117, 1), (161, 1), (172, 1), (759, 1), (1932, 1), (1966, 1), (4779, 1), (6775, 1), (7024, 1), (13079, 1)], [(8, 1), (31, 1), (53, 1), (54, 1), (64, 1), (301, 1), (328, 1), (1958, 1), (3056, 1)], [(8, 1), (19, 1), (23, 1), (25, 1), (51, 1), (109, 1), (173, 1), (203, 1), (287, 1), (448, 1), (1563, 1), (1615, 1), (2157, 1), (4563, 1), (4957, 1), (5102, 1), (12777, 1)], [(18, 1), (19, 2), (117, 1), (287, 1), (759, 1), (1562, 1), (1563, 1), (1898, 1), (1907, 1), (2705, 1), (10516, 1), (13080, 1)], [(8, 1), (18, 1), (233, 1), (1960, 1)], [(82, 1), (1563, 1), (1714, 1), (1845, 1)], [(18, 1), (19, 1), (20, 2), (31, 1), (53, 1), (58, 1), (99, 1), (117, 2), (173, 1), (232, 1), (342, 1), (420, 1), (506, 1), (759, 1), (990, 1), (1336, 1), (1377, 1), (1685, 1), (2862, 1), (2912, 1), (2993, 1), (3291, 1), (4779, 1)], [(8, 1), (19, 2), (20, 2), (25, 2), (30, 2), (45, 1), (53, 1), (108, 1), (173, 1), (193, 1), (448, 1), (1572, 1), (1638, 1), (1764, 1), (2304, 1), (3048, 1), (5527, 1), (6564, 1), (7024, 1)], [(8, 1), (18, 1), (20, 3), (21, 1), (22, 1), (28, 1), (30, 1), (45, 1), (50, 1), (53, 4), (54, 2), (108, 1), (109, 1), (117, 1), (122, 1), (173, 1), (182, 1), (215, 1), (232, 1), (256, 1), (428, 1), (459, 1), (531, 1), (1224, 1), (1458, 1), (1459, 1), (1911, 1), (2163, 1), (2262, 1), (2292, 1), (2516, 1), (2734, 1), (2887, 1), (3048, 1), (3134, 1), (3360, 1), (3739, 1), (3849, 1), (5942, 1), (7024, 1), (12675, 1), (13077, 1), (13081, 1), (13082, 1)], [(8, 1), (18, 1), (19, 4), (20, 3), (21, 2), (22, 1), (25, 2), (31, 2), (45, 2), (50, 1), (53, 6), (54, 3), (55, 1), (65, 2), (75, 1), (90, 1), (117, 1), (193, 1), (215, 1), (232, 1), (323, 1), (337, 1), (404, 1), (645, 1), (702, 1), (777, 1), (897, 1), (1572, 1), (1628, 1), (1665, 1), (1689, 1), (1732, 1), (2029, 1), (2066, 1), (2222, 1), (2361, 1), (2831, 1), (2855, 1), (3226, 1), (3324, 1), (3375, 1), (3582, 1), (3860, 1), (4328, 1), (4533, 1), (8423, 1), (10794, 1), (11266, 1), (11813, 1), (12677, 1), (13083, 1), (13084, 1), (13085, 1)], [(8, 1), (18, 1), (20, 2), (53, 2), (64, 1), (65, 1), (71, 1), (109, 1), (173, 1), (285, 1), (301, 1), (347, 1), (1505, 1), (5758, 1), (7086, 1), (9866, 1), (9977, 1), (13086, 1), (13087, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (173, 1), (347, 1), (654, 1), (827, 1), (1742, 1), (4556, 1), (10561, 1), (13088, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 1), (31, 1), (45, 1), (50, 1), (53, 1), (85, 1), (88, 1), (172, 1), (173, 1), (229, 1), (285, 1), (286, 1), (387, 1), (428, 1), (903, 1), (1041, 1), (1092, 1), (1354, 1), (1392, 1), (3181, 1), (4482, 1), (4975, 1), (10593, 1), (13089, 1)], [(18, 1), (20, 5), (25, 1), (31, 1), (37, 1), (50, 2), (53, 4), (54, 1), (64, 1), (65, 1), (85, 1), (90, 1), (117, 1), (122, 1), (193, 1), (247, 1), (310, 1), (351, 1), (361, 1), (417, 1), (420, 1), (459, 1), (645, 1), (680, 1), (711, 1), (776, 1), (1042, 1), (1266, 1), (1322, 1), (1731, 1), (1995, 1), (2036, 1), (2077, 1), (2926, 1), (3176, 1), (3542, 1), (5482, 1), (12805, 1), (13090, 1), (13091, 1), (13092, 1)], [(328, 1), (1266, 1), (1322, 1), (1562, 1)], [(18, 1), (20, 1), (95, 1), (96, 1), (247, 1), (13093, 1)], [(1, 1), (4, 1), (8, 1), (54, 1), (122, 1)], [(1, 1), (4, 1), (1562, 1), (1563, 1)], [(8, 1), (22, 1), (117, 1), (2925, 1), (3613, 1), (10074, 1), (12656, 1)], [(247, 1), (12893, 1)], [(20, 1), (172, 1), (187, 1), (256, 1), (1167, 1), (1685, 1), (1714, 1), (1960, 1), (13094, 1)], [(1, 1), (4, 1), (99, 1), (3633, 1), (4779, 1), (13095, 1)], [(18, 1), (20, 3), (25, 2), (71, 1), (90, 1), (126, 1), (174, 1), (256, 1), (278, 1), (285, 1), (381, 1), (407, 1), (452, 1), (778, 1), (1563, 1), (1884, 1), (1902, 1), (2240, 1), (3613, 1), (4326, 1), (4392, 1), (4797, 1)], [(1347, 1), (1563, 1), (1714, 1)], [(288, 1), (4779, 1)], [(8, 1), (20, 1), (37, 1), (53, 1), (2235, 1), (2925, 1), (13096, 1), (13097, 1)], [(20, 3), (21, 1), (247, 1), (1563, 1), (2279, 2), (3755, 1), (12654, 2)], [(8, 1), (23, 1), (32, 1), (90, 1), (1072, 1), (13098, 1)], [(20, 1), (53, 1), (124, 1), (428, 1), (496, 1), (506, 1), (1010, 1), (1615, 1), (4797, 1), (13099, 1)], [(24, 1), (247, 1), (1563, 1), (12860, 1)], [(53, 1), (1562, 1), (12860, 1)], [(22, 1), (45, 1), (84, 1), (117, 1), (186, 1), (259, 1), (1562, 1), (1902, 1), (2482, 1), (2657, 1), (2925, 1), (3613, 1), (3894, 1), (3942, 1), (5288, 1), (9497, 1), (12655, 1)], [(8, 1), (20, 6), (21, 2), (22, 1), (23, 1), (25, 2), (31, 1), (45, 1), (50, 3), (53, 9), (58, 1), (64, 1), (65, 1), (95, 1), (108, 2), (109, 1), (217, 1), (269, 1), (293, 1), (317, 1), (346, 1), (347, 2), (381, 1), (388, 1), (399, 1), (448, 1), (457, 1), (460, 1), (602, 1), (645, 1), (709, 1), (741, 1), (824, 1), (884, 1), (1102, 1), (1165, 1), (1248, 1), (1342, 1), (1416, 2), (1481, 1), (1506, 1), (1620, 1), (1856, 1), (2633, 1), (3763, 1), (4520, 1), (4839, 1), (8580, 1), (8941, 1), (9866, 2), (11018, 1), (12332, 1), (12373, 1), (13090, 1), (13100, 1), (13101, 1), (13102, 1)], [(8, 1), (18, 1), (32, 1), (54, 1), (2849, 1), (12111, 1)], [(21, 1), (24, 1), (53, 1), (117, 1), (756, 2), (1562, 1), (10515, 2)], [(7, 2), (8, 1), (18, 3), (19, 1), (20, 9), (22, 1), (25, 4), (31, 1), (37, 1), (50, 1), (53, 5), (54, 1), (55, 1), (74, 1), (90, 1), (109, 1), (186, 1), (293, 1), (323, 1), (365, 1), (459, 1), (516, 1), (587, 1), (672, 1), (775, 1), (1237, 1), (1325, 1), (1506, 1), (1526, 1), (1529, 1), (1806, 1), (2240, 1), (2280, 1), (2926, 1), (3020, 1), (3426, 1), (3508, 1), (3730, 1), (3934, 1), (5533, 1), (7760, 1), (8791, 1), (9806, 1), (10496, 1), (10726, 1), (10874, 1), (10892, 1), (10943, 1), (13103, 1), (13104, 1), (13105, 1), (13106, 1), (13107, 1), (13108, 1)], [(8, 1), (18, 1), (20, 2), (50, 1), (53, 2), (54, 1), (56, 1), (85, 1), (206, 1), (215, 1), (307, 1), (504, 1), (1392, 1), (2847, 1), (2985, 1), (3762, 1), (6472, 1), (10593, 1), (13109, 1), (13110, 1), (13111, 1), (13112, 1), (13113, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (24, 1), (25, 2), (30, 1), (31, 2), (45, 2), (50, 2), (53, 5), (54, 2), (55, 1), (58, 1), (74, 1), (98, 1), (111, 1), (186, 1), (193, 1), (274, 1), (420, 1), (1239, 1), (1379, 1), (1529, 1), (1572, 1), (2296, 1), (3134, 1), (3301, 1), (4557, 1), (4666, 1), (4941, 1), (12676, 1), (13048, 1), (13114, 1), (13115, 1), (13116, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (45, 1), (53, 3), (55, 1), (117, 1), (124, 1), (173, 1), (193, 1), (215, 1), (232, 1), (404, 1), (420, 1), (459, 1), (792, 1), (833, 1), (913, 1), (1572, 1), (3056, 1), (3083, 1), (5135, 1), (5657, 1), (7359, 1), (7669, 1), (9172, 1), (9899, 1), (11987, 1), (12677, 1), (13117, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (31, 1), (53, 1), (75, 1), (450, 1), (1328, 1), (1578, 1), (2948, 1), (3083, 1), (3359, 1), (3590, 1), (4941, 1), (8940, 1), (9896, 1), (12676, 1)], [(8, 1), (18, 2), (20, 2), (31, 1), (36, 1), (54, 1), (58, 1), (373, 1), (645, 1), (675, 1), (1376, 1), (2029, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (32, 1), (45, 1), (53, 1), (54, 1), (95, 1), (117, 1), (232, 1), (331, 1), (414, 1), (626, 1), (3020, 1), (5784, 1), (13052, 1), (13118, 1)], [(8, 1), (18, 3), (20, 4), (22, 1), (25, 2), (30, 1), (45, 1), (50, 1), (53, 2), (85, 1), (90, 1), (92, 1), (186, 2), (215, 1), (305, 1), (329, 1), (373, 1), (418, 1), (427, 1), (777, 1), (1057, 1), (1477, 1), (1572, 1), (1722, 1), (2965, 1), (3594, 1), (6459, 1), (7299, 1), (7401, 1), (9809, 1), (12198, 1), (13114, 1), (13119, 1), (13120, 1), (13121, 1), (13122, 1)], [(7, 1), (8, 1), (20, 5), (25, 1), (50, 1), (53, 6), (54, 2), (95, 2), (117, 1), (173, 1), (215, 1), (232, 1), (365, 1), (373, 1), (414, 2), (415, 1), (428, 1), (626, 1), (658, 1), (777, 1), (1415, 1), (1529, 1), (1570, 1), (2469, 1), (3782, 1), (5058, 1), (6794, 1), (7545, 1), (8017, 1), (12676, 1), (13123, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 4), (25, 1), (36, 1), (50, 1), (53, 2), (54, 1), (85, 1), (90, 1), (92, 2), (108, 1), (109, 1), (182, 1), (220, 1), (531, 1), (1377, 1), (1477, 1), (1570, 1), (2432, 1), (2725, 1), (4686, 1), (8639, 1), (9291, 1), (9833, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (25, 2), (30, 1), (31, 1), (45, 1), (53, 2), (55, 1), (95, 1), (186, 1), (301, 1), (310, 1), (693, 1), (1012, 1), (1122, 1), (1385, 1), (1458, 1), (1768, 1), (2036, 1), (2348, 1), (3594, 1), (4967, 1), (6770, 1), (12170, 1), (13124, 1), (13125, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (45, 1), (50, 1), (53, 5), (64, 1), (109, 1), (117, 1), (173, 1), (193, 1), (215, 1), (229, 1), (232, 1), (236, 1), (293, 1), (347, 1), (373, 1), (414, 1), (763, 1), (1239, 1), (1695, 1), (1830, 1), (2070, 1), (2795, 1), (3132, 1), (3177, 1), (7332, 1), (12385, 1), (12675, 1), (13126, 1), (13127, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (45, 1), (50, 1), (53, 2), (301, 1), (373, 1), (443, 1), (1239, 1), (2864, 1), (3594, 1), (3914, 1), (4963, 1), (7917, 1), (12063, 1)], [(8, 1), (22, 1), (25, 1), (36, 1), (53, 1), (54, 1), (58, 1), (95, 1), (703, 1), (1081, 1)], [(1, 1), (4, 1), (8, 1), (20, 4), (30, 1), (31, 1), (50, 1), (53, 1), (55, 1), (90, 1), (117, 1), (193, 1), (232, 1), (301, 1), (347, 1), (448, 2), (449, 1), (774, 1), (1245, 1), (1257, 1), (1458, 1), (2210, 1), (2332, 1), (2521, 1), (2949, 1), (4563, 1), (12676, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (53, 1), (91, 1), (95, 1), (256, 1), (404, 1), (913, 1), (1458, 1), (2253, 1), (2849, 1), (3304, 1), (3352, 1), (4659, 1), (5236, 1), (6614, 1)], [(8, 1), (18, 1), (20, 2), (21, 2), (53, 1), (64, 1), (65, 1), (268, 1), (359, 1), (1139, 1), (1159, 1), (1342, 1), (2178, 1), (2184, 1), (2272, 1), (2712, 1), (3804, 1), (3813, 1), (3978, 1), (5089, 1), (12620, 1), (12622, 1), (13128, 1)], [(7, 1), (8, 1), (18, 1), (20, 5), (22, 1), (25, 1), (37, 1), (50, 2), (53, 4), (58, 1), (65, 1), (85, 1), (108, 1), (111, 1), (215, 1), (256, 1), (351, 1), (399, 1), (415, 1), (448, 1), (462, 1), (752, 1), (829, 1), (1150, 1), (1511, 1), (1611, 1), (2360, 1), (2406, 1), (2872, 1), (3300, 1), (3479, 1), (4463, 1), (5473, 1), (5851, 1), (6091, 1), (6543, 1), (10753, 1), (12675, 1), (13129, 1)], [(8, 1), (18, 1), (19, 3), (20, 1), (24, 1), (30, 1), (31, 1), (50, 1), (53, 5), (64, 1), (72, 1), (117, 1), (232, 1), (256, 1), (281, 1), (310, 1), (709, 2), (827, 1), (1325, 1), (2234, 1), (2245, 1), (2916, 1), (3534, 1), (5801, 1), (7255, 1), (8185, 1), (13130, 1), (13131, 1), (13132, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 4), (25, 2), (31, 2), (50, 1), (53, 3), (54, 2), (55, 1), (82, 1), (90, 2), (91, 1), (108, 1), (185, 1), (281, 1), (293, 2), (301, 1), (361, 1), (365, 1), (450, 1), (459, 1), (488, 2), (608, 1), (708, 1), (711, 2), (744, 2), (777, 1), (827, 1), (1224, 1), (1298, 1), (1325, 1), (1458, 1), (1512, 1), (1664, 1), (2140, 1), (2320, 1), (2479, 1), (2855, 1), (3121, 1), (3378, 1), (4121, 1), (8425, 1), (9274, 1), (13030, 1), (13059, 1), (13133, 1), (13134, 1), (13135, 1), (13136, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (22, 3), (25, 3), (30, 1), (45, 5), (50, 1), (53, 7), (55, 2), (65, 1), (82, 1), (85, 1), (95, 1), (108, 1), (109, 1), (173, 1), (193, 1), (215, 2), (269, 1), (307, 1), (373, 1), (414, 1), (418, 1), (450, 1), (454, 1), (569, 1), (645, 1), (708, 1), (709, 2), (752, 1), (754, 1), (828, 1), (911, 1), (1150, 1), (1240, 1), (1348, 1), (1450, 1), (1506, 1), (1720, 1), (1807, 1), (1931, 1), (2354, 1), (2746, 1), (2872, 1), (3359, 1), (3611, 1), (4282, 1), (6231, 1), (6301, 1), (7472, 1), (7633, 1), (8033, 1), (8185, 1), (8460, 1), (10461, 1), (13069, 1), (13137, 1), (13138, 1), (13139, 1), (13140, 1), (13141, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (50, 2), (53, 2), (54, 1), (64, 1), (97, 1), (172, 1), (193, 1), (361, 1), (752, 1), (829, 1), (903, 1), (1549, 1), (2366, 1), (4527, 1), (4551, 1), (4721, 1), (5473, 1), (11983, 1), (13142, 1)], [(8, 1), (19, 2), (20, 1), (22, 2), (25, 1), (30, 3), (36, 1), (50, 1), (53, 2), (58, 1), (109, 1), (111, 1), (173, 1), (256, 1), (285, 1), (310, 1), (414, 1), (680, 1), (742, 1), (824, 1), (1037, 1), (1324, 1), (1487, 1), (1627, 1), (2239, 1), (2712, 1), (6231, 1), (6309, 1), (7341, 1), (12677, 1)], [(8, 1), (18, 1), (24, 1), (1325, 1), (1633, 1), (2139, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (30, 3), (31, 2), (50, 1), (53, 4), (65, 1), (90, 1), (173, 1), (215, 1), (269, 1), (285, 1), (289, 1), (293, 1), (414, 1), (427, 1), (504, 1), (1068, 1), (1129, 1), (1633, 1), (2252, 1), (2318, 1), (4557, 1), (4712, 1), (4844, 1), (5851, 1), (7059, 1), (10285, 1), (12675, 1), (13005, 1), (13143, 1), (13144, 1), (13145, 1)], [(50, 1), (99, 1), (506, 1), (596, 1), (1563, 1), (1685, 1), (2853, 1), (4779, 1)], [(8, 1), (53, 1), (1325, 1), (2925, 1)], [(99, 1), (214, 1), (1323, 1), (1460, 1), (1563, 1), (1714, 1)], [(25, 1), (96, 1), (99, 1), (108, 1), (214, 1), (1460, 1), (4779, 1)], [(22, 1), (117, 1), (268, 1), (1326, 1), (1815, 1), (4797, 1), (12677, 1)], [(19, 1), (23, 1), (108, 1), (124, 1), (242, 1), (600, 1), (1460, 1), (1563, 1), (4797, 1), (10461, 1)], [(8, 1), (548, 1), (1563, 1), (2178, 1)], [(18, 1), (21, 1), (23, 1), (31, 1), (99, 1), (496, 1), (506, 1), (702, 1), (1363, 1), (1416, 1), (4797, 1), (5353, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (53, 4), (55, 1), (90, 1), (109, 1), (173, 1), (373, 1), (1068, 1), (1100, 1), (1325, 1), (2296, 1), (2977, 2), (5473, 1), (10545, 1), (11958, 1), (11981, 1)], [(8, 1), (20, 1), (22, 1), (324, 2), (626, 1), (706, 1), (949, 1), (1558, 1), (1563, 1), (3468, 1), (8700, 1)], [(8, 1), (20, 1), (337, 1), (346, 1), (506, 1), (12561, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (185, 1), (209, 1), (215, 1), (328, 1), (373, 1), (412, 1), (414, 1), (462, 1), (506, 1), (1365, 1), (1627, 1), (1729, 1), (1758, 1), (5784, 1), (6492, 1), (6982, 1), (12677, 1)], [(20, 1), (23, 1), (82, 1), (327, 1), (506, 1), (830, 1), (869, 1), (1352, 1), (1562, 1), (1685, 1)], [(8, 1), (53, 1), (126, 1), (1172, 1), (1563, 1), (4794, 1), (7059, 1), (11610, 1), (12675, 1)], [(20, 1), (117, 1), (1562, 1), (12859, 1), (13146, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (45, 1), (53, 1), (173, 1), (365, 1), (428, 1), (626, 1), (1100, 1), (1375, 1), (1380, 1)], [(8, 1), (19, 1), (20, 4), (25, 2), (31, 1), (45, 1), (50, 2), (53, 3), (54, 1), (58, 1), (64, 1), (65, 1), (186, 1), (193, 1), (229, 1), (353, 1), (373, 1), (752, 1), (1057, 1), (1342, 1), (1458, 1), (1802, 1), (2099, 1), (2184, 1), (2216, 1), (2627, 1), (7131, 1), (7680, 1), (9783, 1), (10461, 1), (12677, 1), (13147, 1), (13148, 1), (13149, 1), (13150, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (30, 1), (31, 1), (50, 2), (53, 1), (90, 1), (97, 1), (108, 1), (351, 1), (355, 1), (410, 1), (418, 1), (459, 2), (600, 1), (752, 1), (1598, 1), (1960, 1), (2819, 1), (2853, 1), (4463, 1), (5939, 1), (7572, 1), (13151, 1), (13152, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (37, 1), (40, 1), (50, 1), (53, 1), (91, 1), (108, 1), (173, 1), (193, 1), (217, 1), (293, 1), (347, 1), (422, 1), (450, 1), (530, 1), (608, 1), (1325, 1), (1767, 1), (3083, 1), (5657, 1), (7496, 1), (11874, 1), (12996, 1)], [(8, 1), (19, 2), (20, 3), (25, 1), (50, 1), (53, 5), (54, 1), (64, 1), (65, 1), (95, 1), (124, 1), (217, 1), (323, 1), (337, 1), (347, 1), (355, 1), (365, 1), (373, 1), (412, 1), (448, 1), (740, 1), (757, 1), (1325, 1), (1760, 1), (2216, 1), (2228, 1), (2839, 1), (2983, 1), (3813, 1), (6160, 1), (11125, 1), (13153, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (37, 1), (45, 2), (55, 1), (91, 1), (173, 1), (328, 1), (488, 1), (970, 1), (1458, 1), (1510, 1), (3121, 1), (4958, 1), (5429, 1), (5574, 1), (6031, 1), (12667, 1), (13154, 1)], [(8, 1), (19, 2), (20, 3), (22, 2), (30, 1), (31, 1), (32, 1), (50, 2), (53, 4), (64, 1), (77, 1), (90, 1), (95, 1), (97, 1), (186, 1), (256, 1), (281, 1), (365, 1), (691, 1), (778, 1), (893, 1), (1041, 1), (1257, 1), (1323, 1), (1361, 1), (1365, 1), (1702, 2), (3034, 1), (3056, 1), (3728, 1), (3741, 1), (4741, 1), (4762, 1), (4787, 1), (9866, 1), (12676, 1), (12677, 1), (13155, 1)], [(92, 1), (99, 1), (1563, 1), (1715, 1), (4779, 1)], [(8, 1), (20, 1), (233, 1), (1638, 1), (3613, 1), (12656, 1)], [(20, 1), (23, 1), (242, 1), (1563, 1), (3613, 1), (4797, 1)], [(19, 1), (20, 2), (23, 1), (31, 1), (50, 1), (53, 1), (77, 1), (94, 1), (99, 1), (185, 1), (229, 1), (324, 2), (454, 1), (504, 1), (506, 1), (1563, 1), (1714, 1), (1884, 1), (2055, 1), (2145, 1), (2157, 1), (4402, 1), (13156, 1), (13157, 1)], [(77, 1), (122, 1), (247, 1), (293, 1), (2553, 1), (3435, 1)], [(58, 1), (99, 1), (109, 1), (531, 1), (1615, 1), (1714, 1), (7226, 1), (11440, 1), (13158, 1)], [(19, 1), (23, 1), (55, 1), (504, 1), (506, 1), (1470, 1), (4797, 1), (5071, 1), (7486, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (37, 2), (50, 1), (53, 1), (55, 2), (108, 1), (117, 1), (232, 1), (419, 1), (434, 1), (532, 1), (949, 1), (1391, 1), (1563, 1), (1960, 1), (1988, 1), (2916, 1), (2925, 1), (3105, 1), (3613, 1), (4794, 1), (5336, 1), (12656, 1), (13159, 1)], [(18, 1), (20, 1), (31, 1), (50, 1), (53, 2), (328, 1), (1563, 1), (2310, 1), (2480, 1), (2909, 1), (4538, 1), (4779, 1), (9866, 1), (12649, 1), (13160, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (108, 1), (117, 1), (190, 1), (233, 1), (256, 1), (269, 1), (323, 1), (506, 1), (707, 1), (1563, 1), (3034, 1), (3613, 1), (3755, 1), (3914, 1), (4716, 1), (4794, 1), (12656, 1), (13138, 1), (13161, 1)], [(22, 1), (23, 1), (58, 1), (99, 1), (108, 1), (214, 1), (240, 1), (256, 1), (287, 1), (1714, 1), (13162, 1)], [(185, 1), (265, 1), (278, 1), (830, 1), (3807, 1), (4797, 1)], [(19, 1), (20, 1), (53, 1), (71, 1), (99, 1), (215, 1), (293, 1), (441, 1), (842, 1), (1563, 1), (2178, 1), (3613, 1), (4779, 1), (8726, 1), (13161, 1)], [(8, 1), (19, 1), (22, 1), (23, 1), (31, 1), (32, 1), (50, 2), (53, 2), (65, 2), (84, 1), (117, 2), (214, 1), (232, 1), (233, 1), (268, 1), (269, 1), (328, 1), (739, 1), (1563, 1), (1960, 1), (2117, 1), (2263, 1), (2265, 1), (2916, 1), (4767, 1), (4794, 1), (5288, 1), (11202, 1), (13163, 1), (13164, 1), (13165, 1), (13166, 1)], [(8, 1), (50, 1), (53, 1), (85, 1), (124, 1), (434, 1), (496, 1), (1223, 1), (13167, 1)], [(23, 1), (34, 1), (50, 1), (185, 1), (268, 1), (4797, 1), (4839, 1)], [(20, 1), (22, 1), (23, 1), (31, 1), (53, 1), (71, 1), (90, 1), (99, 3), (108, 1), (190, 1), (256, 1), (337, 1), (441, 1), (506, 1), (581, 1), (830, 1), (880, 1), (1563, 1), (1597, 1), (3480, 1), (3613, 1), (4797, 1), (8157, 1), (12656, 1), (13160, 1), (13168, 1), (13169, 1), (13170, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (53, 2), (55, 1), (77, 1), (99, 1), (106, 1), (117, 1), (173, 1), (233, 1), (2434, 1), (3613, 1), (3652, 1), (4592, 1), (4794, 1), (6777, 1), (12656, 1), (13160, 1), (13161, 1), (13171, 1), (13172, 1)], [(8, 1), (496, 1), (506, 1), (1563, 1), (1580, 1), (3446, 1), (9291, 1)], [(8, 1), (20, 3), (23, 1), (25, 1), (53, 2), (58, 1), (90, 1), (307, 1), (346, 1), (428, 1), (506, 1), (830, 1), (1867, 1), (2365, 1), (2772, 1), (3641, 1), (4417, 1), (4538, 1), (5060, 1), (13161, 1)], [(8, 1), (20, 4), (23, 1), (25, 2), (31, 1), (53, 1), (77, 1), (94, 1), (172, 1), (241, 1), (295, 1), (334, 1), (414, 1), (506, 1), (772, 1), (1041, 1), (1563, 1), (1580, 1), (1884, 1), (1973, 1), (2912, 1), (4402, 1), (4737, 1), (4975, 1), (9866, 1)], [(19, 1), (22, 4), (23, 4), (25, 1), (50, 1), (53, 3), (55, 1), (58, 2), (71, 1), (94, 1), (172, 1), (182, 1), (185, 1), (414, 1), (605, 1), (709, 1), (983, 1), (1459, 1), (1506, 1), (1644, 1), (2755, 1), (3034, 1), (4625, 1), (5729, 1), (12676, 1), (12677, 1), (13173, 1)], [(1544, 1), (13174, 1)], [(8, 1), (50, 1), (53, 1), (396, 1), (3319, 1), (13175, 1), (13176, 1)], [(8, 1), (19, 2), (20, 1), (23, 1), (26, 1), (31, 1), (45, 1), (50, 2), (53, 6), (65, 1), (71, 1), (77, 1), (90, 1), (94, 1), (95, 3), (99, 1), (163, 1), (173, 2), (174, 1), (215, 3), (220, 1), (229, 1), (240, 1), (269, 1), (281, 1), (292, 1), (293, 1), (328, 1), (420, 1), (516, 1), (581, 2), (654, 1), (709, 1), (1080, 1), (1093, 1), (1901, 1), (2270, 1), (2552, 1), (2627, 1), (3171, 1), (3413, 1), (4109, 1), (6624, 1), (7196, 1), (7382, 1)], [(8, 1), (19, 3), (20, 2), (30, 1), (50, 2), (53, 3), (71, 1), (97, 1), (122, 1), (260, 1), (310, 1), (361, 1), (830, 1), (834, 1), (1529, 1), (3495, 1), (3501, 1), (3832, 1), (4296, 1), (4299, 1), (6583, 1), (10955, 1), (11944, 1), (13177, 1), (13178, 1), (13179, 1), (13180, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (31, 1), (37, 1), (50, 1), (53, 2), (56, 1), (77, 1), (95, 1), (122, 1), (185, 1), (744, 1), (753, 1), (970, 1), (1196, 1), (1342, 1), (4722, 1), (5294, 1), (13181, 1)], [(8, 1), (20, 2), (25, 1), (37, 1), (50, 1), (53, 2), (71, 2), (90, 1), (122, 1), (190, 1), (399, 1), (830, 1), (834, 1), (894, 1), (2647, 1), (7599, 1), (9003, 1), (13158, 1), (13182, 1), (13183, 1), (13184, 1), (13185, 1), (13186, 1)], [(8, 2), (18, 1), (20, 9), (22, 1), (25, 3), (30, 1), (31, 3), (40, 2), (50, 7), (53, 5), (54, 1), (65, 1), (82, 1), (95, 1), (117, 2), (225, 1), (228, 1), (232, 2), (256, 2), (286, 1), (407, 1), (414, 2), (420, 1), (516, 2), (605, 2), (706, 1), (813, 1), (834, 1), (897, 1), (922, 1), (1308, 1), (1901, 1), (2003, 1), (2099, 1), (2744, 1), (2882, 1), (4235, 1), (4613, 1), (4765, 1), (5219, 1), (5227, 1), (5294, 1), (7349, 1), (8395, 1), (8693, 1), (9489, 1), (10074, 1), (12449, 1), (13187, 1), (13188, 1), (13189, 1), (13190, 1), (13191, 1), (13192, 1), (13193, 1), (13194, 1), (13195, 1), (13196, 1), (13197, 1)], [(7, 1), (8, 1), (19, 2), (20, 4), (31, 2), (37, 1), (50, 1), (53, 3), (65, 1), (71, 2), (77, 1), (95, 1), (117, 1), (162, 1), (212, 1), (232, 1), (346, 1), (407, 1), (894, 1), (1442, 1), (2240, 1), (2481, 1), (4335, 1), (7160, 1), (10401, 1), (13198, 1), (13199, 1), (13200, 1)], [(8, 1), (20, 3), (24, 1), (25, 1), (31, 1), (37, 1), (50, 3), (53, 2), (69, 1), (90, 2), (91, 1), (161, 1), (197, 1), (307, 1), (426, 1), (428, 1), (459, 1), (645, 1), (827, 1), (2189, 1), (3171, 1), (3740, 1), (4359, 1), (5635, 1), (10401, 1), (11047, 1), (13186, 1), (13201, 1), (13202, 1), (13203, 1), (13204, 1), (13205, 1)], [(8, 1), (20, 1), (31, 1), (50, 1), (84, 1), (90, 1), (172, 1), (217, 1), (328, 1), (448, 1), (507, 1), (743, 1), (813, 1), (897, 1), (1165, 1), (2096, 1), (2202, 1), (2258, 1), (7551, 1), (13206, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (24, 1), (31, 2), (46, 1), (50, 3), (53, 4), (95, 1), (215, 1), (1080, 1), (1873, 1), (2660, 1), (2688, 1), (9247, 1), (10677, 1), (10763, 1), (12572, 1), (13183, 1), (13207, 1), (13208, 1), (13209, 1), (13210, 1), (13211, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (30, 1), (37, 1), (50, 2), (53, 2), (77, 2), (90, 1), (95, 1), (185, 1), (215, 1), (293, 1), (301, 1), (623, 1), (645, 1), (691, 1), (1102, 1), (1308, 1), (1350, 2), (1824, 1), (3121, 1), (4722, 1), (9621, 1), (13212, 1), (13213, 1)], [(8, 1), (20, 1), (50, 2), (53, 3), (94, 1), (95, 1), (117, 1), (122, 1), (124, 1), (232, 1), (516, 1), (531, 1), (623, 1), (833, 1), (2340, 1), (3264, 1), (3479, 1), (3942, 1), (4178, 1), (8062, 1), (10552, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (32, 1), (50, 1), (51, 1), (53, 2), (74, 1), (108, 1), (117, 1), (173, 1), (185, 1), (193, 1), (232, 1), (268, 1), (287, 1), (301, 1), (334, 1), (833, 1), (1164, 1), (1170, 1), (1296, 1), (13183, 1), (13199, 1), (13214, 1), (13215, 1), (13216, 1), (13217, 1)], [(8, 1), (50, 1), (53, 1), (65, 1), (77, 1), (95, 1), (109, 1), (111, 1), (117, 1), (122, 1), (232, 1), (365, 1), (381, 1), (1816, 1), (8263, 1), (13218, 1), (13219, 1), (13220, 1)], [(18, 1), (50, 1), (53, 1), (90, 1), (215, 1), (744, 1), (792, 1), (1323, 1), (1615, 1), (1714, 1), (2847, 1), (3804, 1), (5045, 1), (13219, 1)], [(8, 1), (20, 1), (31, 2), (45, 1), (53, 1), (64, 1), (85, 1), (229, 1), (269, 1), (885, 1), (922, 1), (1163, 1), (1296, 1), (1747, 1), (2430, 1), (2648, 1), (3043, 1), (8263, 1), (13221, 1), (13222, 1), (13223, 1)], [(8, 1), (20, 1), (24, 1), (50, 2), (53, 1), (90, 1), (269, 1), (381, 1), (414, 1), (680, 1), (692, 1), (3542, 1), (3745, 1), (4385, 1), (8923, 1), (13224, 1), (13225, 1), (13226, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (53, 4), (71, 1), (97, 1), (108, 1), (109, 1), (112, 1), (117, 1), (122, 1), (214, 1), (225, 1), (382, 1), (414, 1), (428, 2), (601, 1), (626, 1), (680, 1), (771, 1), (813, 1), (1041, 2), (1568, 1), (5157, 1), (5996, 1), (9095, 1), (11177, 1), (12411, 1), (13227, 1), (13228, 1), (13229, 1)], [(8, 1), (20, 3), (25, 2), (31, 1), (50, 3), (51, 3), (53, 3), (95, 1), (117, 1), (187, 1), (214, 1), (215, 1), (232, 1), (328, 1), (344, 1), (2157, 1), (3967, 1), (8679, 1), (9871, 1), (12898, 1), (13230, 1), (13231, 1), (13232, 1), (13233, 1)], [(50, 1), (71, 1), (206, 1), (233, 1), (292, 1), (596, 1), (1714, 1)], [(8, 1), (18, 3), (20, 3), (21, 2), (23, 1), (25, 3), (50, 2), (51, 1), (53, 4), (58, 1), (65, 3), (77, 1), (88, 1), (90, 1), (95, 1), (108, 1), (109, 1), (117, 1), (164, 1), (209, 1), (215, 1), (228, 1), (232, 1), (256, 1), (414, 2), (452, 1), (516, 2), (1122, 1), (1467, 1), (2479, 1), (2880, 1), (3287, 1), (3804, 1), (3891, 1), (3912, 1), (4344, 1), (5183, 1), (5793, 1), (6044, 1), (8690, 1), (9107, 1), (9256, 1), (11198, 1), (11322, 1), (12142, 1), (13234, 1), (13235, 1), (13236, 1), (13237, 1), (13238, 1), (13239, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (53, 1), (54, 2), (58, 1), (65, 1), (74, 1), (95, 1), (117, 1), (164, 1), (185, 1), (193, 1), (232, 1), (293, 1), (420, 1), (531, 1), (763, 1), (1186, 1), (1877, 1), (2117, 1), (2474, 1), (2769, 1), (3633, 1), (4613, 1), (6189, 1), (8945, 1), (9295, 1), (13234, 1), (13240, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 3), (22, 1), (25, 2), (31, 1), (50, 2), (51, 1), (53, 3), (54, 1), (71, 1), (122, 1), (210, 1), (260, 1), (310, 1), (410, 1), (412, 1), (459, 1), (531, 1), (834, 1), (896, 1), (1186, 1), (1282, 1), (1311, 1), (3289, 1), (3557, 1), (6182, 1), (7157, 1), (8302, 1), (9534, 1), (13241, 1), (13242, 1), (13243, 1), (13244, 1), (13245, 1), (13246, 1)], [(8, 1), (20, 5), (25, 3), (27, 1), (37, 1), (45, 1), (50, 2), (53, 2), (55, 1), (65, 1), (95, 1), (99, 1), (109, 1), (117, 1), (186, 1), (190, 1), (193, 2), (212, 1), (359, 1), (415, 1), (448, 1), (452, 1), (676, 1), (702, 1), (1075, 1), (1139, 1), (1305, 1), (1476, 1), (1976, 1), (2144, 1), (2275, 1), (2744, 1), (3425, 1), (3495, 1), (6044, 1), (8535, 1), (12756, 1), (13247, 2), (13248, 1), (13249, 1), (13250, 1), (13251, 1), (13252, 1)], [(8, 1), (50, 3), (53, 3), (64, 2), (65, 1), (99, 1), (169, 1), (187, 1), (190, 1), (359, 1), (448, 1), (2248, 1), (3495, 1), (4631, 1), (9256, 1), (13243, 1), (13253, 1), (13254, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (37, 1), (50, 1), (71, 1), (193, 1), (206, 1), (301, 1), (323, 1), (434, 1), (498, 1), (834, 2), (2660, 1), (2982, 1), (3034, 1), (3748, 1), (4791, 1), (5294, 1), (8693, 1), (11668, 1), (13200, 1), (13255, 1), (13256, 1)], [(8, 2), (18, 1), (19, 1), (20, 4), (31, 2), (50, 4), (51, 1), (53, 2), (64, 1), (66, 1), (109, 1), (117, 1), (126, 2), (164, 1), (187, 1), (214, 1), (232, 1), (328, 1), (359, 1), (448, 1), (467, 1), (533, 1), (709, 1), (755, 1), (756, 1), (773, 1), (779, 1), (811, 1), (1441, 1), (1451, 2), (1518, 1), (2421, 1), (6981, 1), (9715, 1), (12119, 1), (13257, 1), (13258, 1), (13259, 1), (13260, 1)], [(8, 1), (20, 3), (50, 2), (53, 1), (55, 1), (65, 1), (187, 1), (214, 1), (269, 1), (334, 1), (359, 1), (399, 1), (450, 1), (516, 1), (672, 1), (777, 1), (778, 1), (834, 1), (1651, 1), (2322, 1), (2939, 1), (3422, 1), (3480, 1), (5793, 1), (11392, 1), (12119, 1), (13261, 1), (13262, 1)], [(8, 1), (20, 1), (50, 1), (53, 2), (55, 1), (77, 1), (95, 1), (353, 1), (359, 1), (2265, 1), (2431, 1), (2616, 1), (3264, 1), (3296, 1), (4528, 1), (7663, 1)], [(7, 1), (18, 1), (20, 5), (31, 1), (50, 1), (53, 4), (64, 1), (66, 1), (77, 1), (108, 1), (126, 1), (269, 1), (328, 1), (428, 1), (531, 1), (756, 1), (1122, 1), (1235, 1), (1458, 1), (1904, 2), (2157, 1), (2196, 1), (2206, 1), (2207, 1), (3342, 1), (3429, 1), (4806, 1), (5844, 1), (6981, 1), (7731, 1), (8075, 1), (9715, 1), (11343, 1), (13263, 1), (13264, 1), (13265, 1), (13266, 1)], [(7, 1), (18, 2), (19, 1), (20, 4), (25, 1), (50, 2), (53, 1), (64, 1), (66, 1), (71, 1), (77, 1), (95, 1), (109, 1), (111, 1), (164, 1), (185, 1), (269, 1), (359, 1), (414, 2), (461, 1), (531, 1), (791, 1), (2064, 1), (2099, 1), (4168, 1), (5873, 1), (8710, 1), (8848, 1), (12753, 1), (13200, 1), (13265, 1), (13267, 1), (13268, 1), (13269, 1)], [(8, 1), (23, 1), (45, 1), (50, 1), (53, 2), (82, 1), (108, 1), (185, 1), (347, 1), (597, 1), (771, 1), (1325, 1), (1816, 1), (7632, 1), (13270, 1), (13271, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (50, 1), (53, 2), (58, 2), (65, 1), (90, 2), (95, 2), (97, 1), (174, 1), (220, 2), (225, 1), (256, 1), (263, 1), (269, 1), (273, 1), (285, 1), (387, 1), (410, 1), (448, 1), (498, 1), (506, 1), (531, 1), (553, 1), (704, 1), (885, 1), (919, 1), (1328, 1), (2492, 1), (2872, 1), (4018, 1), (5839, 1), (6213, 1), (6436, 1), (8195, 1), (13269, 1)], [(20, 2), (50, 1), (82, 1), (85, 1), (90, 1), (220, 1), (247, 1), (295, 1), (344, 1), (434, 1), (691, 1), (792, 1), (1325, 1), (1580, 1), (1695, 1), (2058, 1), (2149, 1), (4519, 1)], [(8, 1), (20, 1), (25, 1), (50, 3), (53, 4), (108, 1), (109, 1), (214, 1), (407, 1), (695, 1), (922, 1), (1081, 1), (2235, 1), (3043, 1), (3721, 1), (10652, 1), (10653, 1), (13270, 1), (13272, 1), (13273, 1), (13274, 1)], [(64, 1), (66, 1), (90, 1), (117, 1), (193, 1), (232, 1), (608, 1), (1670, 1), (5219, 1), (8735, 1), (13275, 1), (13276, 1)], [(18, 1), (20, 1), (25, 1), (50, 2), (53, 1), (64, 3), (66, 1), (95, 1), (214, 1), (328, 1), (359, 1), (531, 1), (1035, 1), (7534, 1), (8522, 1), (9253, 1), (11680, 1), (12119, 1), (13254, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (23, 1), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (71, 1), (77, 1), (82, 1), (90, 1), (95, 1), (108, 2), (161, 1), (166, 1), (185, 2), (193, 1), (215, 1), (256, 1), (269, 2), (281, 1), (289, 1), (516, 1), (531, 1), (744, 1), (1177, 1), (1470, 1), (1685, 1), (1966, 1), (2376, 1), (3942, 1), (4032, 1), (5540, 1), (6182, 1), (8522, 1), (9402, 1), (10195, 1), (10462, 1), (11711, 1), (13277, 1), (13278, 1), (13279, 1), (13280, 1), (13281, 1), (13282, 1)], [(8, 1), (18, 2), (20, 7), (31, 1), (50, 2), (53, 2), (95, 1), (164, 1), (210, 1), (214, 1), (334, 1), (1311, 1), (1458, 1), (1478, 1), (2157, 1), (3726, 1), (4682, 1), (5294, 1), (8668, 1), (8693, 1), (9110, 1), (10835, 1), (12312, 1), (13283, 1), (13284, 1), (13285, 1), (13286, 1), (13287, 1)], [(8, 1), (10, 1), (18, 1), (19, 2), (20, 4), (31, 1), (50, 1), (53, 3), (77, 1), (82, 2), (90, 2), (95, 2), (111, 1), (172, 1), (174, 1), (206, 1), (214, 1), (215, 1), (237, 1), (256, 1), (260, 1), (273, 1), (645, 1), (723, 1), (782, 1), (1041, 1), (1166, 1), (1293, 1), (1308, 1), (1311, 1), (1816, 1), (2849, 1), (3758, 1), (6969, 1), (8622, 1), (8737, 1), (8887, 1), (13288, 1)], [(8, 1), (19, 2), (20, 1), (37, 1), (50, 1), (53, 4), (54, 1), (65, 1), (108, 1), (185, 1), (301, 1), (1871, 1), (2240, 1), (2245, 1), (3302, 1), (7296, 1), (8648, 1), (8660, 1), (8666, 1), (8693, 1), (9354, 1), (13289, 1), (13290, 1)], [(8, 1), (18, 2), (20, 2), (31, 1), (50, 2), (53, 1), (96, 1), (97, 1), (173, 3), (359, 1), (396, 1), (756, 1), (1253, 1), (1816, 1), (4240, 1), (4799, 1), (5148, 1), (10652, 1), (10653, 1), (12312, 1)], [(8, 1), (19, 1), (20, 1), (90, 1), (99, 1), (108, 1), (109, 1), (161, 1), (324, 1), (347, 1), (454, 1), (1361, 1), (1816, 1), (5874, 1), (8209, 1), (9040, 1), (11587, 1), (13291, 1), (13292, 1)], [(8, 1), (18, 3), (20, 2), (77, 1), (82, 1), (98, 1), (117, 1), (232, 1), (256, 1), (359, 1), (756, 2), (1253, 2), (8648, 1), (8666, 1), (13293, 1)], [(10, 1), (18, 1), (20, 2), (50, 1), (53, 1), (90, 1), (172, 1), (173, 2), (256, 1), (323, 1), (347, 1), (581, 1), (600, 1), (744, 1), (782, 1), (812, 1), (908, 1), (1488, 1), (1714, 1), (1816, 1), (2096, 1), (2145, 1), (3319, 1), (3416, 1), (4086, 1), (8857, 1), (13270, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (31, 1), (45, 2), (50, 1), (53, 1), (58, 1), (77, 1), (90, 1), (109, 1), (173, 1), (194, 1), (215, 1), (269, 1), (922, 1), (3083, 2), (3542, 1), (5956, 1), (8640, 1), (8665, 1), (8693, 1), (11969, 1), (13294, 1), (13295, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (52, 1), (53, 1), (55, 1), (96, 1), (214, 1), (228, 1), (331, 1), (434, 1), (813, 1), (834, 1), (1579, 1), (2882, 1), (7288, 1), (11372, 1), (11969, 1), (12457, 1), (13296, 1)], [(20, 1), (31, 1), (50, 2), (53, 3), (65, 2), (71, 1), (91, 1), (96, 1), (108, 1), (117, 1), (182, 1), (187, 1), (209, 1), (233, 1), (292, 1), (537, 1), (777, 1), (1657, 1), (1714, 1), (2306, 1), (5426, 1), (8869, 1), (13297, 1), (13298, 1)], [(8, 1), (214, 1), (222, 1), (530, 1), (8824, 1), (13299, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (31, 1), (50, 2), (55, 1), (77, 1), (90, 1), (111, 1), (187, 1), (263, 1), (392, 1), (404, 1), (414, 1), (450, 1), (452, 1), (518, 1), (1021, 1), (1093, 1), (1248, 1), (1806, 1), (1960, 1), (2712, 1), (2934, 1), (12323, 1), (13300, 1), (13301, 1), (13302, 1), (13303, 1), (13304, 1), (13305, 1)], [(8, 1), (31, 1), (37, 1), (53, 1), (82, 1), (95, 1), (206, 1), (214, 1), (293, 1), (301, 1), (337, 1), (452, 1), (1640, 1), (13210, 1), (13306, 1), (13307, 1)], [(247, 1), (9462, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 2), (31, 1), (37, 1), (50, 3), (53, 3), (55, 1), (74, 1), (107, 1), (109, 1), (172, 1), (206, 1), (214, 1), (215, 2), (217, 1), (285, 1), (410, 1), (507, 1), (626, 1), (709, 1), (771, 1), (959, 1), (1041, 1), (1392, 1), (2716, 1), (3542, 1), (6165, 1), (7151, 1), (8399, 1), (8693, 1), (8977, 1), (9067, 1), (11064, 1), (13308, 1), (13309, 1), (13310, 1), (13311, 1)], [(8, 1), (20, 1), (45, 1), (53, 1), (65, 1), (108, 2), (172, 1), (210, 1), (225, 1), (263, 1), (450, 1), (672, 1), (812, 1), (1377, 1), (1824, 1), (2117, 1), (2190, 1), (2296, 1), (2627, 1), (4160, 1), (12190, 1), (13199, 1)], [(8, 1), (18, 2), (19, 3), (20, 4), (22, 2), (24, 1), (25, 4), (30, 2), (31, 2), (37, 1), (45, 2), (50, 4), (53, 2), (58, 1), (65, 2), (71, 1), (77, 3), (85, 2), (90, 1), (95, 1), (108, 1), (182, 1), (193, 1), (215, 1), (263, 1), (293, 1), (365, 1), (387, 1), (428, 1), (516, 1), (525, 1), (587, 1), (645, 1), (672, 1), (678, 1), (709, 1), (1010, 1), (1070, 1), (1077, 1), (1239, 1), (1308, 1), (1475, 1), (1668, 1), (1686, 1), (4652, 1), (4956, 1), (5273, 1), (5384, 1), (5621, 1), (6667, 1), (7371, 1), (8606, 1), (8636, 1), (9018, 1), (13312, 1), (13313, 1)], [(8, 1), (18, 3), (19, 2), (20, 7), (22, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 5), (53, 4), (65, 2), (77, 1), (82, 2), (90, 1), (95, 1), (117, 1), (166, 1), (167, 1), (187, 1), (195, 1), (210, 1), (232, 1), (260, 1), (263, 1), (269, 1), (331, 1), (516, 1), (709, 1), (744, 1), (834, 1), (886, 1), (897, 1), (1377, 1), (1824, 1), (2036, 1), (2037, 1), (2064, 1), (2235, 2), (3328, 1), (3661, 1), (5725, 1), (5839, 1), (6040, 1), (6242, 1), (9030, 1), (9585, 2), (12292, 1), (12753, 1), (13314, 1), (13315, 1), (13316, 1), (13317, 1), (13318, 1)], [(8, 1), (20, 2), (45, 1), (50, 1), (53, 2), (58, 1), (71, 2), (90, 1), (94, 1), (95, 1), (109, 1), (221, 1), (237, 1), (301, 1), (830, 2), (959, 1), (1080, 1), (5290, 1), (5435, 1), (5495, 1), (8857, 1), (13319, 1)], [(8, 1), (37, 1), (193, 1), (1118, 1)], [(8, 1), (20, 1), (45, 2), (50, 2), (53, 1), (58, 1), (77, 1), (90, 1), (124, 1), (185, 1), (210, 1), (269, 1), (286, 1), (410, 1), (452, 1), (487, 1), (884, 1), (1909, 1), (2151, 1), (3495, 1), (5148, 1), (5435, 1), (6242, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (31, 1), (37, 1), (45, 1), (50, 4), (51, 1), (53, 2), (55, 1), (65, 1), (71, 1), (97, 1), (108, 1), (109, 1), (117, 3), (161, 1), (166, 1), (185, 1), (232, 3), (269, 1), (415, 1), (442, 1), (527, 1), (795, 1), (1824, 1), (1896, 1), (2117, 1), (2151, 1), (2660, 1), (4172, 1), (4884, 1), (5435, 1), (5612, 1), (5996, 1), (6502, 1), (7576, 1), (7756, 1), (8977, 1), (9137, 1), (11088, 1), (13320, 1), (13321, 2), (13322, 1), (13323, 1), (13324, 1), (13325, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (50, 1), (53, 7), (58, 1), (90, 1), (95, 1), (107, 1), (175, 1), (215, 2), (293, 1), (334, 1), (359, 1), (922, 1), (1085, 1), (1747, 1), (2490, 1), (2666, 1), (2939, 1), (4491, 1), (5435, 1), (7399, 1), (8649, 1), (11817, 1), (13326, 1), (13327, 1), (13328, 1), (13329, 1)], [(8, 1), (20, 1), (31, 2), (50, 1), (53, 1), (71, 1), (77, 1), (106, 1), (164, 1), (185, 1), (190, 1), (215, 1), (448, 1), (706, 1), (1596, 1), (5043, 1), (6693, 1), (7874, 1), (9238, 1), (13330, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (50, 2), (53, 5), (69, 1), (75, 1), (77, 1), (97, 1), (122, 1), (441, 1), (442, 2), (452, 1), (632, 1), (1308, 1), (2084, 1), (2127, 1), (2693, 1), (3836, 1), (6220, 1), (8918, 1), (12051, 1), (12114, 1)], [(8, 1), (20, 4), (25, 1), (53, 1), (65, 1), (106, 1), (225, 1), (404, 1), (790, 1), (884, 1), (1483, 1), (2290, 1), (2884, 1), (5491, 1), (5639, 1), (8918, 1), (12567, 1)], [(8, 1), (20, 1), (31, 2), (37, 1), (53, 1), (206, 1), (214, 1), (215, 1), (301, 1), (450, 1), (531, 1), (644, 1), (2693, 1), (2884, 1), (8638, 2), (9240, 1), (9699, 1), (13331, 1)], [(19, 1), (20, 1), (53, 1), (64, 2), (66, 1), (71, 1), (95, 1), (173, 1), (233, 2), (269, 1), (275, 1), (361, 1), (434, 2), (581, 1), (654, 1), (812, 1), (830, 1), (1163, 1), (2387, 1), (2625, 1), (2692, 1), (4161, 1), (6310, 1), (7295, 1), (8646, 1), (13332, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (37, 1), (53, 3), (56, 1), (58, 1), (77, 1), (90, 2), (97, 1), (99, 2), (161, 1), (193, 1), (203, 2), (206, 1), (210, 1), (269, 1), (286, 1), (334, 1), (697, 1), (830, 1), (897, 1), (1170, 1), (1899, 1), (2282, 1), (2344, 1), (3804, 1), (5592, 1), (6982, 1), (13333, 1)], [(8, 1), (20, 2), (50, 1), (53, 1), (55, 1), (58, 1), (161, 1), (256, 1), (269, 1), (289, 1), (452, 1), (581, 1), (830, 1), (833, 1), (1294, 1), (1463, 2), (1642, 1), (1937, 1), (2265, 1), (2812, 1), (3056, 1), (6332, 1), (13199, 1), (13334, 1)], [(8, 1), (50, 1), (53, 1), (77, 1), (85, 1), (95, 1), (96, 1), (241, 1), (268, 1), (328, 1), (516, 1), (697, 1), (1598, 1), (2051, 1), (2055, 1), (3942, 1), (4958, 1)], [(7, 3), (8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 2), (53, 1), (77, 1), (97, 1), (99, 2), (256, 1), (260, 1), (268, 1), (293, 1), (331, 1), (581, 1), (672, 1), (742, 1), (827, 1), (1197, 1), (1308, 1), (1764, 1), (1865, 1), (2096, 1), (2151, 1), (2230, 1), (2263, 1), (3121, 1), (3975, 1), (4862, 1), (7371, 1), (9412, 1), (9490, 1), (13315, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (58, 1), (71, 1), (82, 1), (99, 1), (185, 1), (210, 1), (237, 1), (278, 1), (324, 1), (347, 1), (454, 1), (506, 1), (675, 1), (1276, 1), (7891, 1), (13335, 1)], [(1544, 1), (13336, 1)], [(8, 1), (20, 1), (25, 1), (50, 2), (53, 2), (396, 1), (1294, 1), (1518, 1), (3319, 1), (11975, 1), (13176, 2), (13337, 1), (13338, 1)], [(8, 1), (19, 2), (20, 8), (23, 1), (25, 1), (31, 2), (50, 2), (53, 1), (55, 1), (71, 1), (91, 1), (97, 1), (124, 1), (187, 1), (212, 1), (214, 1), (226, 1), (242, 1), (281, 1), (359, 1), (423, 2), (480, 1), (526, 1), (620, 1), (834, 1), (894, 1), (1613, 1), (1702, 1), (2438, 1), (2479, 1), (3210, 1), (5294, 1), (6044, 1), (6097, 1), (8648, 1), (8674, 1), (9207, 1), (11656, 1), (13258, 1), (13339, 1), (13340, 1)], [(7, 1), (8, 1), (23, 1), (90, 1), (301, 1), (1196, 1), (4778, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (25, 1), (50, 2), (53, 1), (117, 4), (232, 4), (334, 1), (404, 1), (756, 1), (1253, 1), (1308, 1), (3034, 1), (8625, 1), (8648, 1), (8666, 1), (12312, 1), (13263, 1), (13341, 1), (13342, 1)], [(8, 1), (19, 1), (25, 1), (53, 1), (172, 1), (217, 1), (359, 1), (1667, 1), (4627, 1), (8648, 1), (10677, 1), (13263, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (53, 1), (77, 2), (117, 2), (232, 2), (256, 1), (334, 1), (454, 1), (833, 1), (1296, 1), (1348, 1), (4205, 1), (7160, 1), (8625, 1), (13341, 1)], [(8, 1), (20, 2), (31, 2), (45, 1), (50, 2), (53, 2), (95, 1), (117, 1), (185, 1), (187, 1), (214, 1), (232, 1), (1248, 1), (1816, 1), (2077, 1), (2148, 1), (2178, 1), (2290, 1), (2849, 1), (3652, 1), (4627, 1), (4973, 1), (8625, 1), (13308, 1), (13343, 1), (13344, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 1), (53, 1), (65, 1), (77, 1), (268, 1), (396, 1), (448, 1), (505, 1), (516, 1), (597, 1), (600, 1), (913, 1), (1041, 1), (1102, 1), (1253, 1), (1909, 1), (3000, 1), (3627, 1), (3969, 1), (6036, 1), (8234, 1), (8344, 1), (9067, 1), (13345, 1), (13346, 1), (13347, 1), (13348, 1)], [(8, 2), (22, 1), (31, 2), (50, 1), (53, 1), (214, 2), (256, 1), (711, 1), (756, 1), (757, 1), (1172, 1), (1253, 1), (1357, 1), (8664, 1), (8678, 1), (9067, 1), (13308, 1), (13315, 1), (13349, 1), (13350, 1)], [(8, 1), (45, 1), (77, 1), (82, 1), (658, 1), (1102, 1), (12962, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 1), (31, 1), (53, 2), (214, 2), (256, 1), (278, 1), (414, 1), (454, 1), (711, 1), (756, 1), (1166, 1), (2099, 1), (3121, 1), (3319, 1), (5294, 1), (6901, 1), (8622, 1), (8710, 1), (13269, 1), (13351, 1), (13352, 1)], [(7, 2), (8, 1), (18, 2), (20, 4), (25, 1), (36, 1), (37, 1), (45, 1), (50, 2), (53, 1), (58, 1), (77, 2), (90, 1), (95, 1), (99, 1), (182, 1), (185, 1), (193, 1), (215, 1), (225, 1), (240, 1), (256, 1), (269, 1), (420, 1), (516, 1), (581, 1), (672, 2), (744, 1), (1308, 1), (1816, 1), (1877, 1), (2005, 1), (2096, 1), (2151, 1), (3181, 1), (5294, 1), (5430, 1), (5910, 1), (9412, 1), (10852, 1), (13353, 1), (13354, 1)], [(7, 2), (8, 1), (19, 1), (20, 7), (25, 2), (31, 2), (37, 2), (50, 1), (53, 2), (71, 1), (82, 1), (108, 1), (109, 1), (187, 1), (214, 1), (240, 1), (269, 1), (301, 1), (407, 1), (418, 1), (448, 1), (771, 2), (829, 1), (894, 1), (1102, 1), (1348, 1), (2096, 1), (3054, 1), (3982, 1), (5430, 1), (6160, 1), (9067, 1), (10675, 1), (13193, 1), (13355, 1), (13356, 1), (13357, 1), (13358, 1)], [(8, 1), (20, 1), (25, 1), (53, 1), (414, 1), (711, 1), (756, 1), (1166, 1), (1253, 1), (1256, 1), (13309, 1), (13359, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 2), (45, 1), (50, 3), (53, 7), (77, 1), (109, 1), (263, 1), (281, 1), (359, 1), (373, 1), (507, 1), (583, 1), (601, 1), (626, 1), (756, 1), (763, 1), (1010, 1), (1012, 1), (1071, 1), (1253, 1), (1731, 1), (2753, 1), (5204, 1), (5621, 1), (7917, 1), (10830, 1), (11673, 1), (12898, 1), (13360, 1), (13361, 1), (13362, 1)], [(7, 1), (8, 1), (18, 1), (20, 6), (22, 1), (24, 1), (25, 3), (31, 2), (50, 4), (53, 5), (77, 2), (90, 2), (95, 1), (99, 1), (108, 1), (109, 1), (117, 1), (215, 1), (232, 1), (269, 1), (281, 1), (373, 1), (381, 1), (504, 1), (515, 1), (531, 1), (1342, 1), (1350, 1), (1380, 1), (1543, 1), (1731, 1), (2034, 1), (2039, 1), (2099, 1), (2965, 1), (3883, 1), (4557, 2), (5485, 1), (7105, 1), (8814, 1), (10472, 1), (12017, 1), (12061, 1), (12124, 1), (12831, 1), (13363, 1), (13364, 1)], [(8, 1), (24, 1), (25, 1), (50, 1), (53, 1), (77, 1), (94, 1), (387, 1), (2178, 1), (2985, 1), (7854, 1), (9532, 1)], [(8, 1), (22, 3), (24, 1), (31, 3), (50, 3), (53, 9), (58, 1), (65, 2), (77, 1), (95, 1), (214, 1), (281, 1), (310, 1), (365, 1), (410, 1), (414, 1), (679, 1), (709, 1), (1239, 1), (1245, 1), (1350, 1), (1481, 1), (1506, 1), (1529, 1), (2401, 1), (2457, 1), (2648, 1), (2718, 1), (3610, 1), (3955, 1), (5012, 1), (5204, 1), (6352, 1), (6459, 1), (7404, 1), (8332, 1), (9590, 1), (11246, 1), (11271, 1), (13365, 1), (13366, 1), (13367, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (23, 1), (50, 2), (53, 2), (55, 1), (71, 1), (82, 1), (90, 1), (95, 1), (108, 1), (166, 1), (185, 1), (256, 1), (269, 1), (293, 1), (498, 1), (505, 1), (506, 1), (601, 1), (605, 1), (894, 1), (2178, 1), (4778, 1), (5888, 1), (8714, 1), (10675, 1), (12962, 1), (13368, 1)], [(8, 1), (18, 1), (20, 2), (31, 2), (45, 1), (50, 2), (53, 6), (65, 1), (77, 1), (90, 1), (109, 1), (359, 1), (365, 1), (373, 1), (448, 1), (516, 1), (525, 1), (756, 1), (829, 1), (895, 1), (1166, 1), (1266, 1), (2039, 1), (2077, 1), (2156, 1), (2401, 1), (3480, 1), (3542, 1), (7237, 1), (7382, 1), (8017, 1), (8609, 1), (8613, 1), (11951, 1), (13360, 1), (13369, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (31, 2), (53, 2), (71, 1), (90, 1), (99, 1), (109, 1), (203, 1), (214, 1), (263, 1), (285, 1), (293, 2), (328, 1), (334, 1), (342, 1), (516, 1), (1801, 1), (2401, 1), (2740, 1), (2852, 1), (3000, 1), (4146, 1), (4856, 1), (6364, 1), (7558, 1), (8150, 1), (8535, 1), (13370, 1), (13371, 1)], [(8, 1), (20, 3), (25, 2), (45, 1), (53, 2), (65, 1), (74, 1), (97, 1), (193, 1), (214, 1), (275, 1), (365, 1), (395, 1), (414, 1), (415, 1), (626, 1), (756, 1), (1166, 1), (1756, 1), (1940, 1), (3121, 1), (5836, 1), (9877, 1), (13372, 1), (13373, 1), (13374, 1), (13375, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 6), (65, 2), (77, 1), (78, 1), (92, 1), (331, 1), (338, 1), (373, 1), (516, 1), (531, 1), (583, 1), (774, 1), (778, 1), (895, 1), (1229, 1), (1529, 1), (1732, 1), (2336, 1), (2660, 1), (3780, 1), (5273, 1), (5490, 1), (6116, 1), (9516, 1), (9911, 1), (10744, 1), (10914, 1), (12047, 1), (13376, 1), (13377, 1), (13378, 1)], [(8, 1), (18, 3), (20, 7), (22, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 4), (53, 7), (55, 1), (65, 2), (77, 2), (95, 2), (109, 1), (256, 1), (365, 1), (428, 1), (686, 1), (709, 1), (893, 1), (1237, 1), (1526, 1), (3002, 1), (3064, 1), (4526, 1), (4789, 1), (4929, 1), (5018, 1), (5426, 1), (5865, 1), (5921, 1), (6177, 1), (7501, 1), (8159, 1), (8814, 1), (9716, 1), (9774, 1), (10232, 1), (11897, 1), (13379, 1), (13380, 1), (13381, 1), (13382, 1), (13383, 1), (13384, 1), (13385, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (54, 1), (77, 1), (82, 1), (111, 1), (2010, 1), (3034, 1), (13216, 1), (13355, 1)], [(7, 1), (8, 1), (20, 1), (45, 1), (54, 1), (55, 1), (58, 1), (108, 1), (111, 1), (173, 1), (301, 1), (448, 1), (505, 1), (974, 1), (1580, 1), (2016, 1), (2669, 1), (3413, 1), (3758, 1), (10779, 1), (13386, 1), (13387, 1), (13388, 1)], [(8, 1), (24, 1), (53, 1), (108, 1), (214, 1), (1579, 1), (2430, 1), (6160, 1), (7854, 1)], [(7, 1), (18, 3), (20, 6), (22, 2), (25, 5), (31, 1), (37, 1), (45, 1), (50, 5), (53, 5), (65, 1), (90, 1), (92, 1), (99, 1), (169, 1), (190, 1), (193, 1), (197, 1), (215, 1), (281, 1), (334, 1), (369, 1), (414, 1), (516, 1), (672, 1), (675, 1), (697, 1), (744, 1), (850, 1), (860, 1), (956, 1), (1139, 3), (1443, 1), (1678, 1), (1714, 1), (4109, 1), (4142, 1), (5018, 1), (5484, 1), (5485, 1), (5883, 1), (6170, 1), (6665, 1), (7467, 1), (7572, 1), (9020, 1), (9485, 1), (10479, 1), (10480, 1), (11459, 1), (12366, 1), (13358, 1), (13389, 1), (13390, 1), (13391, 1), (13392, 1), (13393, 1), (13394, 1), (13395, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 2), (65, 1), (90, 1), (206, 1), (214, 1), (365, 1), (1070, 1), (1118, 1), (2184, 1), (2291, 1), (5236, 1), (6406, 1), (13355, 1), (13394, 1)], [(8, 1), (19, 1), (24, 1), (25, 1), (31, 1), (50, 3), (53, 2), (71, 1), (96, 1), (108, 1), (172, 1), (450, 1), (487, 1), (675, 1), (711, 1), (2096, 1), (5430, 1), (6160, 1), (6416, 1), (7874, 1), (10753, 1), (11115, 1), (13356, 1), (13358, 1), (13396, 1), (13397, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (37, 1), (49, 1), (50, 5), (53, 6), (55, 1), (82, 2), (90, 1), (95, 1), (117, 1), (172, 1), (193, 1), (232, 1), (269, 1), (711, 1), (973, 1), (1068, 1), (1308, 1), (1596, 1), (2474, 1), (2479, 1), (2505, 1), (2593, 1), (3295, 1), (3506, 1), (4073, 1), (5200, 1), (5742, 1), (6347, 1), (7415, 1), (8164, 1), (11758, 1), (12848, 1), (13398, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (50, 4), (53, 6), (55, 1), (77, 2), (95, 2), (97, 1), (215, 2), (286, 1), (293, 1), (407, 1), (410, 1), (487, 1), (744, 1), (1235, 1), (1277, 1), (1348, 1), (1470, 1), (1517, 1), (1596, 1), (1723, 1), (2987, 1), (6036, 1), (8552, 1), (8710, 1), (9454, 1), (9843, 1), (9909, 1), (13397, 1), (13399, 1), (13400, 1), (13401, 2), (13402, 1)], [(8, 1), (18, 4), (19, 2), (20, 6), (22, 1), (25, 4), (50, 7), (53, 4), (55, 1), (56, 1), (65, 2), (95, 1), (111, 1), (263, 1), (337, 1), (373, 1), (404, 1), (406, 1), (434, 2), (462, 1), (598, 1), (1166, 1), (1248, 1), (1293, 1), (2198, 1), (2287, 1), (2585, 1), (2948, 1), (3327, 1), (3413, 1), (3457, 1), (3591, 1), (4157, 1), (5721, 1), (6275, 1), (7129, 1), (8061, 1), (8074, 1), (8412, 1), (8622, 1), (9161, 1), (9741, 1), (9768, 1), (13356, 1), (13403, 1), (13404, 1), (13405, 1), (13406, 1), (13407, 1), (13408, 1), (13409, 1), (13410, 1), (13411, 1), (13412, 1), (13413, 1)], [(8, 1), (10, 1), (18, 4), (19, 2), (23, 2), (30, 1), (31, 1), (50, 1), (53, 2), (54, 1), (58, 1), (82, 1), (108, 2), (172, 1), (197, 1), (256, 1), (268, 1), (293, 1), (307, 1), (531, 1), (771, 1), (782, 1), (852, 1), (1196, 1), (1293, 1), (1898, 1), (1973, 1), (3052, 1), (3090, 1), (5211, 1), (5400, 1), (6460, 1), (7554, 1), (9472, 1), (10932, 1), (13414, 1), (13415, 1), (13416, 1), (13417, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (50, 1), (64, 1), (67, 1), (109, 1), (214, 1), (269, 1), (323, 1), (328, 1), (359, 1), (415, 1), (418, 1), (448, 1), (834, 1), (853, 1), (1377, 1), (2241, 1), (4716, 1), (6160, 1), (7321, 1), (13355, 1), (13356, 2), (13418, 1)], [(66, 1), (13419, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (82, 1), (84, 1), (91, 1), (336, 1), (414, 1), (415, 1), (919, 1), (1102, 1), (1598, 1), (2196, 1), (2474, 1), (4296, 1), (4697, 1), (7820, 1), (13420, 1)], [(8, 1), (18, 3), (20, 5), (22, 2), (25, 2), (31, 3), (50, 3), (53, 8), (65, 1), (77, 1), (122, 1), (174, 1), (329, 1), (399, 1), (414, 1), (580, 1), (680, 1), (709, 1), (1010, 1), (1155, 1), (1363, 1), (1651, 1), (1758, 1), (1931, 1), (2453, 1), (2479, 1), (2648, 1), (2746, 1), (3479, 1), (5447, 1), (5783, 1), (5921, 1), (6160, 1), (6261, 1), (11897, 1), (12446, 1), (13381, 1), (13421, 1), (13422, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (50, 2), (53, 1), (55, 1), (77, 1), (269, 1), (420, 1), (450, 1), (452, 1), (940, 1), (1041, 1), (1487, 1), (1520, 1), (2241, 1), (2536, 1), (3294, 1), (4428, 1), (4875, 1), (6036, 1), (8444, 1), (11122, 1), (13400, 1)], [(8, 1), (10, 1), (11, 1), (18, 4), (19, 4), (20, 4), (22, 2), (24, 1), (25, 2), (29, 1), (31, 4), (50, 3), (53, 8), (55, 1), (65, 2), (77, 2), (109, 1), (185, 1), (187, 1), (215, 1), (281, 1), (365, 1), (373, 1), (381, 1), (392, 1), (410, 1), (415, 1), (430, 1), (452, 1), (488, 1), (504, 1), (505, 1), (708, 1), (709, 1), (756, 1), (777, 1), (1166, 1), (1245, 1), (1478, 1), (1929, 1), (2039, 1), (2047, 1), (2253, 1), (2648, 1), (3591, 1), (3685, 1), (4784, 1), (6112, 1), (6809, 1), (7382, 1), (12670, 2), (13360, 1), (13423, 1), (13424, 1)], [(8, 1), (18, 2), (20, 2), (22, 2), (24, 1), (25, 1), (31, 1), (50, 2), (53, 4), (65, 1), (85, 1), (108, 1), (109, 1), (130, 1), (214, 1), (317, 1), (365, 1), (446, 1), (516, 1), (680, 1), (694, 1), (884, 1), (1041, 1), (1150, 1), (1248, 1), (1350, 1), (1529, 1), (1731, 1), (2239, 1), (2718, 1), (2719, 1), (2774, 1), (3064, 1), (3594, 1), (4967, 1), (5788, 1), (7029, 1), (8150, 1), (12159, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (25, 2), (50, 5), (53, 7), (55, 1), (77, 1), (95, 1), (186, 2), (515, 1), (516, 1), (675, 1), (709, 1), (777, 1), (1278, 1), (1764, 1), (1801, 2), (2047, 1), (2401, 1), (2605, 1), (2820, 1), (4549, 1), (6281, 1), (6983, 1), (8107, 1), (10550, 1), (10782, 1), (12181, 1), (13425, 1), (13426, 1), (13427, 1)], [(1544, 1), (13428, 1)], [(8, 1), (22, 6), (31, 7), (65, 1), (396, 1), (3319, 1), (3991, 1), (6761, 1), (10151, 1), (13429, 1), (13430, 1), (13431, 1), (13432, 1), (13433, 1)], [(8, 1), (10, 1), (11, 1), (18, 2), (19, 1), (20, 4), (30, 1), (31, 1), (45, 1), (53, 3), (65, 1), (97, 1), (99, 2), (111, 1), (172, 1), (173, 1), (182, 1), (215, 2), (273, 1), (287, 1), (307, 1), (310, 1), (482, 1), (830, 1), (1035, 1), (1132, 1), (1363, 1), (1549, 1), (2076, 1), (2425, 1), (2431, 1), (2541, 1), (2648, 1), (3638, 1), (5952, 1), (7077, 1), (7975, 1), (8428, 1), (11177, 1), (13434, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (19, 1), (22, 1), (25, 2), (31, 1), (37, 1), (50, 2), (53, 4), (77, 1), (95, 1), (187, 1), (214, 1), (269, 1), (351, 1), (693, 1), (827, 1), (913, 2), (1041, 1), (1248, 2), (2248, 1), (3638, 1), (4547, 1), (4758, 1), (6329, 1), (9453, 1), (12713, 1), (13435, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (56, 1), (90, 3), (186, 1), (206, 1), (225, 1), (506, 1), (531, 1), (609, 1), (645, 1), (711, 1), (1342, 1), (1760, 1), (1816, 1), (2145, 1), (2978, 1), (4290, 1), (6652, 1), (6684, 1), (11228, 1)], [(8, 1), (32, 1), (45, 1), (50, 1), (53, 1), (225, 1), (301, 1), (702, 1), (1342, 1), (13436, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (31, 2), (40, 1), (45, 1), (53, 1), (99, 1), (161, 2), (169, 1), (187, 2), (190, 1), (193, 1), (214, 1), (215, 4), (459, 1), (1248, 1), (2178, 1), (2914, 1), (3000, 1), (3958, 1), (4053, 1), (6684, 2), (11440, 1), (12312, 1), (13437, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (40, 1), (45, 1), (53, 1), (55, 1), (65, 1), (90, 1), (108, 1), (178, 1), (229, 1), (256, 1), (261, 1), (301, 1), (414, 1), (812, 1), (885, 1), (1102, 1), (1747, 1), (2774, 1), (2971, 1), (3413, 1), (6684, 2), (10031, 1), (13438, 1), (13439, 1), (13440, 1), (13441, 1)], [(7, 1), (8, 1), (20, 9), (25, 5), (31, 2), (50, 4), (53, 6), (65, 3), (85, 2), (99, 1), (111, 1), (117, 1), (187, 1), (190, 1), (215, 1), (414, 1), (415, 1), (441, 1), (449, 1), (450, 1), (516, 1), (583, 1), (702, 1), (711, 1), (756, 2), (790, 1), (884, 1), (904, 1), (912, 1), (940, 1), (1155, 1), (1166, 1), (1253, 1), (1284, 1), (1361, 1), (1471, 1), (1665, 1), (1999, 1), (2096, 1), (2213, 1), (3077, 1), (3633, 1), (4044, 1), (4575, 1), (5430, 1), (5462, 1), (5463, 1), (6192, 1), (7288, 1), (8072, 1), (9683, 1), (13076, 1), (13398, 1), (13442, 1), (13443, 1), (13444, 1), (13445, 1), (13446, 1), (13447, 1), (13448, 1)], [(8, 1), (20, 1), (50, 2), (53, 1), (65, 1), (91, 1), (108, 1), (172, 1), (757, 1), (884, 1), (1695, 1), (2245, 1), (4924, 1), (8877, 1), (9295, 1), (13014, 1), (13449, 1), (13450, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 1), (31, 2), (50, 2), (53, 2), (55, 2), (65, 1), (69, 1), (70, 1), (85, 1), (90, 1), (99, 2), (117, 1), (190, 1), (232, 1), (291, 1), (301, 1), (450, 1), (697, 1), (711, 2), (990, 1), (1090, 1), (1909, 1), (1960, 1), (2005, 1), (2751, 1), (2863, 1), (4182, 1), (5512, 1), (7129, 1), (13451, 1)], [(8, 2), (18, 1), (19, 1), (20, 1), (25, 1), (30, 1), (31, 1), (90, 1), (97, 1), (109, 1), (332, 1), (645, 1), (725, 1), (3602, 1), (4121, 1), (5440, 1), (6161, 1), (9141, 1), (10670, 1), (13452, 1), (13453, 1), (13454, 1)], [(8, 1), (72, 1), (77, 1), (96, 1), (13455, 1)], [(8, 1), (18, 1), (65, 1), (77, 1), (94, 1), (95, 1), (215, 2), (289, 1), (531, 1), (2712, 1), (7061, 1), (9692, 1), (10931, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (22, 1), (23, 1), (25, 1), (30, 1), (50, 1), (53, 2), (161, 1), (193, 1), (242, 1), (256, 1), (268, 1), (305, 1), (1149, 1), (1416, 1), (1582, 1), (2712, 1), (2855, 1), (6372, 1), (13456, 1), (13457, 1), (13458, 1)], [(8, 1), (20, 2), (31, 1), (45, 2), (50, 3), (53, 2), (77, 1), (269, 1), (346, 1), (1393, 1), (1398, 1), (1665, 1), (2553, 1), (2712, 1), (6990, 1), (13324, 1), (13459, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 1), (50, 2), (65, 2), (77, 1), (111, 1), (212, 1), (215, 2), (263, 1), (334, 1), (642, 1), (1041, 1), (2693, 1), (5490, 1), (5851, 1), (6264, 1), (8192, 1), (8940, 1), (12822, 1), (13460, 1), (13461, 1), (13462, 1), (13463, 1), (13464, 1), (13465, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (50, 3), (55, 1), (58, 1), (65, 2), (90, 1), (111, 1), (117, 1), (217, 1), (225, 2), (232, 1), (256, 1), (286, 1), (365, 1), (608, 1), (609, 1), (1430, 1), (2457, 1), (2716, 1), (3903, 1), (5709, 1), (6047, 1), (6278, 1), (7362, 2), (8057, 1), (9877, 1), (11968, 1), (13466, 1), (13467, 1)], [(8, 1), (20, 1), (53, 2), (55, 2), (65, 1), (209, 1), (293, 1), (778, 1), (1960, 1), (2712, 2), (13460, 1)], [(8, 1), (18, 1), (20, 9), (22, 1), (25, 3), (31, 1), (45, 1), (50, 5), (51, 1), (53, 4), (55, 1), (65, 1), (82, 1), (90, 1), (99, 1), (117, 2), (173, 1), (178, 1), (190, 1), (215, 4), (232, 2), (256, 1), (263, 1), (269, 1), (688, 1), (790, 1), (922, 2), (1041, 1), (1068, 1), (1430, 1), (1441, 1), (1929, 1), (2034, 1), (2053, 1), (2241, 1), (2327, 1), (2665, 1), (2712, 2), (2863, 1), (2864, 1), (5200, 1), (6047, 1), (6201, 1), (9871, 1), (10929, 1), (11968, 1), (13212, 1), (13444, 1), (13459, 1), (13468, 1), (13469, 1), (13470, 1), (13471, 1), (13472, 1), (13473, 1), (13474, 1)], [(8, 1), (20, 2), (31, 2), (50, 3), (53, 3), (55, 1), (65, 1), (85, 1), (111, 1), (187, 2), (214, 1), (395, 1), (507, 1), (703, 1), (764, 1), (924, 1), (1517, 1), (2276, 1), (3118, 1), (3121, 1), (3342, 1), (5851, 1), (6243, 1), (8081, 1), (13401, 1), (13475, 1), (13476, 1)], [(8, 1), (50, 1), (55, 1), (91, 1), (214, 1), (289, 1), (757, 1), (3181, 1), (13477, 1)], [(7, 1), (8, 1), (19, 1), (34, 1), (51, 1), (53, 2), (65, 2), (99, 1), (108, 1), (187, 1), (190, 1), (445, 1), (448, 1), (623, 1), (632, 1), (1951, 1), (2345, 1), (2359, 1), (2459, 1), (2581, 1), (5895, 1), (12974, 1), (13478, 1), (13479, 1)], [(8, 1), (20, 1), (53, 2), (65, 1), (71, 1), (77, 1), (95, 1), (285, 1), (454, 1), (1800, 1), (3013, 1), (4463, 1), (13480, 1), (13481, 1)], [(8, 1), (187, 1), (206, 1), (214, 1), (215, 1), (301, 1), (908, 1), (1621, 1), (4509, 1), (4740, 1), (7605, 1)], [(19, 1), (20, 1), (22, 1), (25, 2), (34, 1), (37, 1), (50, 1), (51, 1), (53, 1), (55, 1), (64, 1), (65, 3), (90, 1), (99, 1), (108, 1), (187, 1), (190, 1), (214, 2), (256, 1), (293, 2), (328, 1), (372, 1), (448, 1), (711, 1), (725, 1), (1007, 1), (1178, 1), (1549, 1), (2571, 1), (2734, 1), (2878, 1), (2967, 1), (3238, 1), (5908, 1), (8323, 1), (9609, 1), (13482, 1), (13483, 1), (13484, 1), (13485, 1)], [(8, 1), (19, 1), (91, 1), (99, 1), (281, 1), (450, 1), (1072, 1), (1966, 1), (3739, 1), (5210, 1), (11050, 1), (11717, 1)], [(8, 1), (18, 2), (20, 4), (31, 3), (50, 7), (53, 5), (91, 1), (97, 1), (99, 1), (168, 1), (190, 1), (193, 1), (210, 1), (215, 1), (281, 1), (305, 1), (359, 1), (361, 1), (694, 1), (895, 1), (1012, 1), (1131, 1), (1139, 1), (1445, 1), (1653, 1), (2262, 1), (2599, 1), (2655, 1), (2690, 1), (2716, 1), (3756, 1), (4123, 1), (5142, 1), (5607, 1), (7351, 1), (7852, 1), (8641, 1), (9063, 1), (10837, 1), (11565, 1), (11951, 1), (13486, 1), (13487, 1), (13488, 1), (13489, 1), (13490, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 3), (53, 3), (77, 1), (99, 1), (109, 1), (187, 1), (190, 1), (226, 1), (239, 1), (328, 1), (448, 1), (1139, 1), (1287, 1), (1458, 1), (2157, 1), (2543, 1), (3435, 1), (3970, 1), (4089, 1), (4688, 1), (5431, 1), (5843, 1), (6548, 1), (8341, 1), (12292, 1), (13491, 1), (13492, 1), (13493, 1), (13494, 1), (13495, 1), (13496, 1)], [(8, 1), (18, 3), (19, 3), (20, 8), (22, 2), (25, 4), (34, 1), (50, 2), (51, 1), (53, 3), (65, 5), (71, 2), (82, 1), (88, 1), (90, 2), (91, 2), (97, 1), (99, 3), (203, 2), (206, 1), (214, 1), (256, 1), (285, 1), (293, 1), (301, 1), (324, 2), (504, 1), (516, 2), (687, 1), (744, 2), (763, 1), (776, 1), (800, 2), (1012, 1), (1102, 1), (1177, 1), (1287, 2), (1308, 1), (1458, 1), (1521, 1), (1541, 1), (1667, 1), (1668, 1), (1702, 1), (2016, 1), (2164, 1), (2755, 1), (3413, 1), (3661, 1), (5653, 1), (6501, 1), (6982, 1), (7664, 1), (8183, 1), (8243, 1), (8612, 1), (9720, 1), (9766, 1), (11412, 1), (12746, 1), (13131, 1), (13497, 1), (13498, 1), (13499, 1), (13500, 1), (13501, 1), (13502, 1), (13503, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 3), (49, 1), (50, 2), (53, 3), (55, 1), (85, 1), (91, 1), (99, 1), (174, 1), (187, 1), (215, 1), (314, 1), (324, 1), (334, 1), (399, 1), (420, 2), (581, 1), (726, 1), (861, 1), (913, 1), (1070, 1), (1509, 1), (2669, 1), (2760, 1), (3043, 1), (3132, 1), (3585, 1), (4536, 1), (4851, 1), (5851, 1), (7389, 1), (8580, 1), (13504, 1), (13505, 1), (13506, 1)], [(8, 1), (19, 1), (23, 1), (25, 1), (30, 1), (50, 1), (53, 4), (55, 1), (90, 1), (172, 1), (193, 1), (210, 1), (506, 1), (763, 1), (1122, 2), (1219, 1), (1330, 1), (1454, 1), (4789, 1), (6205, 1), (13492, 1), (13507, 1), (13508, 1)], [(8, 1), (20, 1), (23, 1), (25, 2), (50, 1), (53, 6), (65, 1), (172, 1), (305, 1), (331, 1), (1071, 1), (1348, 1), (2253, 1), (2308, 1), (2400, 1), (3993, 1), (4439, 1), (4622, 1), (7748, 1), (8111, 1), (9342, 1), (10573, 1), (13506, 1), (13509, 1), (13510, 1), (13511, 1), (13512, 1), (13513, 1)], [(18, 1), (19, 1), (20, 2), (23, 1), (25, 2), (34, 1), (37, 1), (50, 1), (53, 2), (55, 1), (65, 1), (90, 1), (95, 1), (108, 2), (117, 1), (166, 1), (232, 1), (247, 1), (285, 1), (314, 1), (450, 1), (490, 1), (694, 1), (1068, 1), (1580, 2), (1668, 1), (1686, 1), (1812, 1), (2055, 1), (2400, 1), (2718, 1), (5753, 1), (9342, 1), (9608, 1), (9708, 1), (10282, 1), (10376, 1), (11098, 1), (11617, 1), (13118, 1), (13514, 1), (13515, 1), (13516, 1), (13517, 1)], [(1544, 1), (13518, 1)], [(8, 1), (13519, 1)], [(8, 1), (20, 4), (31, 1), (50, 1), (53, 3), (55, 1), (65, 1), (97, 1), (109, 1), (281, 1), (419, 1), (587, 1), (756, 1), (1166, 1), (1399, 1), (1415, 1), (1740, 1), (3398, 1), (4375, 1), (4402, 1), (5587, 1), (8245, 1), (12408, 1), (12461, 1), (13520, 1), (13521, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (50, 1), (58, 1), (71, 1), (90, 1), (92, 1), (286, 1), (293, 1), (419, 1), (434, 1), (903, 1), (1122, 1), (1584, 1), (1716, 1), (1734, 2), (6623, 1), (8146, 1), (9944, 1), (10447, 1), (13522, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (31, 2), (50, 3), (53, 7), (54, 1), (55, 1), (90, 3), (92, 1), (97, 1), (109, 2), (182, 1), (193, 1), (323, 1), (361, 1), (396, 1), (430, 1), (450, 1), (459, 1), (516, 1), (568, 1), (680, 1), (693, 1), (906, 1), (1100, 1), (1166, 1), (1253, 1), (1305, 1), (1549, 1), (2077, 1), (3475, 1), (5792, 1), (5816, 1), (6129, 1), (6249, 1), (6893, 1), (9117, 1), (10755, 1), (11314, 1), (12659, 1), (13521, 1), (13523, 1), (13524, 1), (13525, 1), (13526, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 2), (25, 2), (50, 2), (53, 2), (78, 1), (91, 1), (92, 1), (174, 1), (206, 1), (209, 1), (260, 1), (281, 1), (293, 1), (316, 1), (323, 1), (365, 1), (413, 1), (450, 1), (632, 2), (686, 1), (1100, 1), (1557, 1), (1806, 1), (2189, 1), (2690, 1), (2847, 1), (2926, 1), (3398, 1), (3685, 1), (3709, 1), (5588, 1), (5593, 1), (7270, 1), (7373, 1), (7380, 1), (7506, 1), (13527, 1), (13528, 1), (13529, 1)], [(7742, 1)], [(7, 1), (8, 1), (20, 4), (25, 1), (31, 1), (46, 1), (50, 5), (53, 5), (64, 2), (65, 1), (77, 1), (81, 1), (82, 1), (90, 1), (185, 1), (215, 2), (256, 1), (328, 2), (365, 1), (399, 1), (516, 1), (587, 1), (658, 1), (705, 1), (756, 1), (827, 1), (834, 1), (1139, 1), (1166, 1), (1471, 1), (1474, 1), (1596, 1), (1685, 1), (1747, 1), (1798, 1), (1877, 2), (1988, 1), (3756, 1), (3788, 1), (4304, 1), (6205, 1), (7605, 1), (7742, 1), (7824, 1), (8341, 1), (8891, 2), (8892, 1), (11244, 1), (13521, 1), (13530, 1), (13531, 1)], [(8, 1), (37, 1), (50, 1), (53, 2), (54, 1), (58, 1), (62, 1), (97, 1), (193, 1), (215, 1), (269, 1), (301, 1), (353, 1), (711, 2), (1308, 1), (3709, 1), (5588, 1), (5731, 1), (13521, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (53, 1), (65, 1), (108, 1), (109, 1), (124, 1), (317, 1), (420, 1), (450, 1), (459, 1), (516, 1), (587, 1), (711, 1), (833, 1), (895, 1), (1481, 1), (1529, 1), (1613, 1), (2005, 1), (2016, 1), (2304, 1), (2401, 1), (2599, 1), (4581, 1), (5607, 1), (5762, 1), (7225, 1), (12125, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (30, 1), (31, 1), (50, 4), (53, 7), (55, 1), (71, 1), (91, 2), (108, 2), (185, 1), (190, 1), (193, 1), (215, 1), (260, 1), (275, 1), (293, 1), (323, 1), (331, 1), (334, 1), (365, 1), (414, 1), (654, 1), (744, 1), (763, 1), (1245, 1), (1311, 1), (1342, 1), (1442, 1), (1931, 1), (2018, 1), (3040, 1), (3756, 1), (4688, 1), (4778, 1), (5379, 1), (8053, 1), (8282, 1), (9248, 1), (11103, 1), (11162, 1), (12190, 1), (13532, 1), (13533, 1), (13534, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (31, 2), (37, 1), (50, 2), (53, 1), (55, 1), (58, 1), (71, 1), (90, 2), (111, 1), (193, 1), (260, 1), (331, 1), (420, 1), (446, 1), (450, 1), (452, 1), (505, 1), (581, 1), (744, 1), (813, 1), (876, 1), (922, 1), (1024, 1), (1571, 1), (1733, 1), (2048, 1), (2055, 1), (2137, 1), (2320, 1), (2344, 1), (2353, 1), (2599, 1), (3790, 1), (9025, 1), (13535, 1), (13536, 1), (13537, 1)], [(8, 1), (20, 2), (31, 1), (50, 2), (53, 3), (55, 1), (90, 1), (99, 2), (161, 1), (338, 1), (415, 1), (569, 1), (581, 1), (670, 1), (834, 1), (922, 1), (1643, 1), (1685, 1), (3213, 1), (3667, 1), (3670, 1), (8967, 1)], [(18, 1), (19, 2), (20, 4), (22, 2), (25, 1), (31, 2), (37, 1), (50, 4), (51, 1), (53, 6), (71, 1), (74, 1), (90, 2), (108, 1), (161, 1), (172, 1), (185, 1), (214, 1), (239, 1), (240, 1), (286, 1), (309, 1), (365, 1), (387, 1), (405, 1), (448, 1), (450, 1), (452, 1), (583, 1), (670, 1), (795, 1), (830, 1), (1102, 2), (1139, 1), (1300, 1), (1714, 1), (1747, 1), (1824, 1), (1909, 1), (1931, 1), (2340, 1), (3790, 1), (3983, 1), (5289, 1), (5585, 1), (6866, 1), (8645, 1), (8975, 1), (9060, 1), (13538, 1)], [(8, 1), (19, 2), (24, 1), (30, 1), (31, 1), (70, 1), (71, 1), (161, 1), (233, 1), (581, 1), (877, 1), (1988, 1), (6047, 1), (6685, 1), (8110, 1), (11257, 1), (13539, 1)], [(7, 2), (8, 1), (18, 2), (19, 5), (20, 15), (22, 5), (25, 9), (30, 1), (31, 2), (37, 1), (40, 3), (45, 2), (50, 9), (53, 11), (55, 1), (58, 1), (71, 1), (89, 1), (90, 4), (97, 1), (108, 2), (117, 1), (170, 1), (172, 3), (173, 1), (190, 2), (201, 2), (206, 1), (217, 1), (225, 1), (232, 1), (256, 1), (263, 1), (269, 2), (281, 1), (289, 1), (293, 1), (301, 1), (323, 1), (365, 3), (407, 1), (419, 1), (452, 1), (482, 1), (518, 1), (531, 1), (570, 2), (581, 1), (587, 1), (645, 2), (777, 1), (830, 2), (834, 1), (885, 1), (963, 1), (1102, 4), (1310, 1), (1416, 1), (1445, 1), (1686, 1), (1690, 1), (1708, 1), (1824, 1), (1909, 1), (1975, 1), (2169, 1), (2228, 1), (2474, 1), (3034, 1), (3041, 1), (3201, 1), (3494, 1), (3958, 1), (4585, 1), (4598, 1), (4652, 1), (5367, 1), (5429, 1), (5552, 1), (5957, 1), (6383, 1), (6604, 1), (6755, 1), (7160, 1), (7896, 1), (7917, 1), (8046, 1), (8179, 1), (8225, 1), (8439, 1), (8654, 2), (8880, 1), (10282, 1), (10608, 1), (10738, 1), (11225, 1), (11466, 1), (12393, 1), (12767, 1), (13501, 1), (13540, 1), (13541, 1), (13542, 1), (13543, 1), (13544, 1), (13545, 1), (13546, 1), (13547, 1), (13548, 1), (13549, 1), (13550, 1), (13551, 1)], [(8, 1), (18, 2), (20, 2), (24, 1), (50, 1), (55, 1), (56, 1), (78, 1), (90, 1), (215, 1), (289, 1), (293, 1), (347, 1), (373, 1), (414, 1), (419, 1), (531, 1), (583, 1), (654, 1), (763, 1), (2190, 1), (2985, 1), (3899, 1), (4297, 1), (4762, 1), (12494, 1), (13552, 1)], [(8, 1), (22, 1), (32, 1), (50, 1), (53, 1), (90, 1), (355, 1), (583, 2), (658, 1), (922, 2), (1140, 1), (1257, 1), (1266, 1), (2344, 1), (13311, 1)], [(8, 1), (20, 2), (22, 1), (50, 1), (53, 1), (56, 1), (58, 1), (77, 1), (82, 1), (117, 1), (232, 1), (418, 1), (1824, 2), (2191, 1), (3053, 1), (5127, 1), (5259, 1), (5882, 1), (5901, 1), (6671, 1), (10817, 1), (13553, 1)], [(18, 2), (20, 1), (25, 1), (53, 3), (77, 1), (82, 1), (90, 1), (269, 1), (281, 2), (365, 1), (405, 1), (415, 1), (1714, 1), (8767, 1), (13554, 1), (13555, 2)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 3), (31, 1), (40, 2), (45, 1), (50, 1), (53, 5), (82, 1), (91, 1), (108, 1), (186, 2), (256, 1), (281, 1), (355, 1), (365, 1), (420, 1), (486, 1), (620, 1), (704, 1), (922, 1), (982, 1), (1305, 1), (1487, 1), (1598, 1), (1824, 1), (2391, 1), (2916, 1), (3426, 1), (3476, 2), (3514, 1), (4545, 1), (4600, 1), (5054, 1), (10060, 1), (13556, 1), (13557, 1), (13558, 1)], [(8, 1), (18, 2), (19, 3), (20, 1), (22, 2), (45, 1), (53, 3), (58, 2), (65, 1), (77, 3), (82, 2), (97, 1), (229, 2), (256, 1), (301, 1), (323, 2), (365, 1), (441, 1), (531, 1), (645, 1), (670, 1), (708, 1), (744, 1), (833, 1), (1041, 1), (1308, 1), (1392, 1), (2470, 1), (2680, 1), (4993, 1), (5620, 1), (6221, 1), (6380, 1), (8382, 1), (8799, 1), (12796, 1), (13559, 1), (13560, 1), (13561, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 5), (55, 1), (90, 1), (91, 1), (187, 1), (229, 1), (260, 1), (293, 1), (305, 1), (328, 1), (355, 1), (365, 1), (551, 1), (632, 2), (1159, 1), (1758, 1), (2712, 1), (4184, 1), (5842, 1), (6397, 1), (7688, 1), (9149, 1), (9416, 1), (10704, 1), (13562, 1), (13563, 1), (13564, 1)], [(8, 1), (20, 1), (58, 1), (229, 1), (256, 1), (268, 1), (1041, 1), (1165, 1), (4618, 1), (4619, 1), (13565, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (53, 2), (90, 1), (225, 1), (482, 1), (516, 1), (583, 1), (1041, 1), (1070, 1), (3221, 1), (5020, 1), (5878, 1), (6230, 1), (12095, 1), (12769, 1), (13566, 1), (13567, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (50, 2), (53, 4), (108, 1), (288, 1), (365, 1), (407, 2), (670, 1), (680, 1), (1041, 1), (1071, 1), (1487, 1), (1596, 1), (3524, 1), (3957, 1), (4534, 1), (5856, 1), (9462, 1), (12345, 1), (12400, 1), (13568, 1), (13569, 1), (13570, 1)], [(8, 1), (20, 1), (25, 1), (39, 1), (50, 4), (53, 2), (215, 1), (228, 2), (258, 1), (407, 1), (441, 1), (1041, 1), (1097, 1), (1311, 1), (2333, 1), (6242, 1), (9462, 1), (9531, 1), (10943, 1), (11943, 1), (13571, 1)], [(8, 1), (20, 3), (22, 1), (37, 1), (50, 1), (53, 3), (56, 1), (124, 1), (246, 1), (281, 1), (365, 1), (414, 1), (415, 1), (605, 1), (670, 1), (696, 1), (776, 1), (1129, 1), (2027, 1), (2911, 1), (4353, 1), (5851, 1), (5969, 1), (9462, 1), (13572, 1)], [(18, 1), (19, 2), (20, 3), (22, 3), (25, 4), (31, 1), (37, 1), (53, 2), (82, 1), (91, 1), (99, 1), (168, 1), (169, 1), (185, 2), (365, 1), (405, 1), (407, 1), (897, 1), (990, 1), (1131, 1), (1685, 1), (1714, 1), (1865, 1), (1901, 1), (2479, 1), (2847, 1), (5528, 1), (9462, 1), (12741, 1), (13539, 1), (13573, 1)], [(7, 1), (8, 1), (20, 3), (25, 1), (31, 1), (37, 1), (46, 1), (50, 3), (53, 4), (185, 1), (215, 1), (256, 1), (263, 1), (269, 1), (286, 1), (293, 1), (328, 1), (405, 1), (505, 1), (583, 1), (645, 1), (1013, 1), (1350, 1), (1628, 1), (1650, 1), (1654, 1), (1815, 1), (5353, 1), (7914, 1), (10461, 1), (10874, 1), (13574, 1), (13575, 1)], [(245, 1), (247, 1), (332, 1), (2515, 1)], [(20, 1), (82, 1), (90, 1), (109, 1), (247, 1), (357, 1), (708, 1), (812, 1), (1521, 1), (4527, 1), (13576, 1), (13577, 1)], [(1544, 1), (13578, 1)], [(8, 1), (13579, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (31, 1), (50, 2), (53, 4), (60, 1), (65, 1), (90, 2), (92, 1), (215, 1), (293, 1), (414, 2), (433, 1), (697, 1), (765, 1), (1010, 1), (1159, 3), (1248, 2), (1365, 1), (1702, 1), (1740, 1), (1883, 1), (2434, 1), (2655, 1), (2978, 1), (3479, 1), (4178, 1), (5256, 1), (5587, 1), (5664, 1), (6129, 1), (6256, 1), (7463, 1), (8930, 1), (12408, 1), (13521, 1), (13573, 1), (13580, 1), (13581, 1), (13582, 1), (13583, 1), (13584, 1)], [(8, 1), (20, 3), (31, 1), (53, 2), (71, 1), (182, 1), (193, 1), (285, 1), (331, 1), (1224, 1), (1270, 1), (1702, 1), (2428, 1), (5270, 1), (5368, 1), (12363, 1), (12390, 1)], [(7, 1), (8, 1), (18, 3), (20, 3), (22, 3), (31, 1), (50, 1), (53, 6), (54, 1), (55, 1), (65, 3), (69, 1), (91, 1), (109, 1), (161, 1), (174, 1), (182, 1), (185, 1), (201, 1), (215, 1), (269, 1), (301, 1), (317, 1), (329, 1), (365, 1), (414, 2), (420, 3), (435, 1), (448, 1), (580, 1), (706, 1), (711, 1), (777, 1), (903, 1), (1042, 1), (1448, 1), (1806, 1), (2681, 1), (2847, 1), (2900, 1), (2926, 1), (3426, 1), (3611, 1), (3718, 1), (3986, 1), (4355, 1), (4575, 1), (4652, 1), (5639, 1), (5986, 1), (6419, 1), (7661, 1), (8140, 1), (8146, 1), (8303, 1), (9859, 1), (12637, 1), (13585, 1), (13586, 1), (13587, 1), (13588, 1), (13589, 1), (13590, 1), (13591, 1)], [(8, 1), (18, 2), (20, 5), (25, 3), (53, 3), (65, 1), (84, 1), (109, 2), (193, 1), (307, 1), (334, 1), (359, 1), (516, 1), (778, 1), (1222, 1), (1245, 1), (1392, 1), (1467, 1), (1526, 1), (2198, 1), (2344, 1), (3110, 2), (3379, 1), (4534, 1), (4557, 1), (4563, 1), (5653, 1), (6983, 1), (7237, 1), (11897, 1), (13592, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (58, 1), (108, 1), (215, 1), (1416, 1), (1557, 1), (4789, 1), (5492, 1), (6957, 1), (10817, 1)], [(8, 1), (20, 1), (25, 1), (124, 1), (776, 1), (1222, 1), (2157, 1), (5064, 1), (13593, 1)], [(1, 1), (4, 1), (18, 1), (22, 1), (25, 1), (77, 1), (82, 1), (95, 1), (122, 1), (185, 1), (903, 1), (1714, 1), (1824, 1)], [(8, 1), (236, 1), (8140, 1)], [(18, 1), (20, 3), (45, 1), (53, 2), (55, 1), (65, 2), (85, 1), (90, 1), (109, 1), (124, 1), (197, 1), (213, 1), (247, 1), (256, 1), (310, 1), (351, 1), (414, 1), (516, 1), (645, 1), (776, 1), (1198, 1), (1890, 1), (2028, 1), (2348, 1), (2409, 1), (3020, 1), (5714, 1), (6668, 1), (9720, 1), (13594, 1), (13595, 1)], [(247, 1), (328, 1), (1458, 1)], [(247, 1), (328, 1), (1322, 1), (1340, 1)], [(247, 1), (970, 1), (7208, 1)], [(20, 1), (24, 1), (53, 1), (756, 2), (1178, 1), (10515, 2)], [(8, 1), (19, 2), (20, 2), (31, 1), (53, 4), (65, 2), (185, 1), (215, 1), (1342, 1), (1385, 1), (2816, 1), (2820, 1), (3468, 1), (4937, 1), (6900, 1), (13596, 1), (13597, 1), (13598, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (25, 1), (31, 3), (45, 2), (50, 1), (53, 5), (55, 1), (65, 1), (75, 1), (269, 1), (306, 1), (414, 1), (686, 1), (1069, 1), (1106, 1), (1348, 1), (1997, 1), (2256, 1), (2296, 1), (2393, 1), (3426, 1), (4463, 1), (4473, 1), (4791, 1), (4988, 1), (5063, 1), (5825, 1), (6228, 1), (6315, 1), (8036, 1), (8140, 1), (11664, 1), (11898, 1), (12056, 1), (13599, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 2), (25, 2), (30, 1), (32, 1), (45, 1), (50, 3), (53, 6), (54, 2), (55, 2), (58, 1), (90, 1), (95, 1), (108, 1), (111, 1), (172, 1), (173, 4), (185, 1), (201, 1), (217, 1), (268, 1), (269, 1), (281, 1), (293, 1), (347, 1), (348, 1), (490, 1), (601, 1), (697, 1), (763, 1), (778, 1), (792, 1), (833, 1), (1384, 1), (1526, 1), (1597, 1), (1668, 1), (1702, 1), (1997, 1), (2183, 1), (2185, 1), (2246, 1), (2428, 1), (3352, 1), (3371, 1), (3391, 1), (3433, 1), (3978, 1), (4793, 1), (5013, 1), (5269, 1), (6315, 1), (7654, 1), (7892, 1), (8444, 1), (9835, 1), (11004, 1), (12102, 1), (12185, 1), (13600, 1), (13601, 1), (13602, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (31, 1), (37, 1), (53, 1), (117, 1), (232, 1), (404, 1), (414, 1), (433, 1), (450, 1), (459, 1), (680, 1), (696, 1), (913, 1), (1627, 1), (4801, 1), (6315, 1), (7506, 1), (10422, 1)], [(20, 4), (25, 1), (55, 1), (58, 1), (247, 1), (310, 1), (419, 1), (459, 1), (979, 1), (1041, 1), (1529, 1), (2348, 1), (3886, 1), (5016, 1), (5496, 1), (10752, 1), (13603, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (58, 2), (124, 1), (776, 1), (922, 1), (1139, 1), (1557, 1), (2455, 1), (4563, 1), (5492, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 1), (32, 1), (37, 1), (50, 1), (53, 3), (97, 1), (108, 1), (172, 1), (193, 1), (407, 1), (419, 1), (518, 1), (1416, 1), (2707, 1), (3132, 1), (4360, 1), (4694, 1), (5816, 1), (6695, 1), (7088, 1), (8786, 1), (11230, 1), (13604, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (25, 3), (31, 1), (50, 2), (53, 1), (65, 1), (109, 1), (126, 1), (161, 1), (174, 1), (193, 1), (215, 1), (224, 1), (388, 1), (406, 1), (414, 1), (504, 1), (516, 1), (587, 1), (680, 1), (705, 1), (1041, 1), (1074, 1), (1449, 1), (1526, 1), (2324, 1), (2611, 1), (3468, 1), (5100, 1), (5726, 1), (6494, 1), (7434, 1), (8080, 1), (9728, 1), (11430, 1), (12123, 1), (12199, 1), (13605, 1), (13606, 1), (13607, 1), (13608, 1), (13609, 1)], [(8, 1), (20, 3), (22, 2), (50, 2), (53, 1), (58, 1), (65, 1), (111, 2), (172, 1), (256, 1), (268, 1), (328, 1), (414, 1), (505, 1), (516, 1), (531, 1), (687, 1), (792, 1), (974, 1), (1082, 1), (1165, 1), (2353, 1), (2977, 1), (3424, 1), (5157, 1), (7337, 1), (7839, 1), (11047, 1), (11541, 1), (13522, 1), (13610, 1), (13611, 1)], [(1, 1), (4, 1), (18, 2), (19, 1), (20, 4), (23, 1), (25, 1), (30, 1), (53, 1), (55, 2), (58, 2), (172, 1), (182, 2), (193, 1), (209, 1), (245, 1), (347, 2), (357, 1), (778, 1), (824, 1), (833, 1), (1139, 1), (1178, 1), (1198, 1), (1458, 1), (1557, 1), (1569, 1), (1702, 1), (1964, 1), (2168, 1), (2366, 1), (3304, 1), (3709, 1), (4220, 1), (4652, 1), (4862, 1), (6628, 1), (6786, 1), (7286, 1), (7396, 1), (8786, 1), (9585, 1)], [(20, 1), (54, 1), (58, 1), (64, 1), (596, 1), (946, 1), (1167, 1)], [(8, 1), (233, 1), (7411, 1)], [(19, 2), (20, 4), (24, 1), (25, 1), (40, 1), (50, 1), (58, 1), (64, 1), (65, 1), (66, 1), (95, 1), (97, 1), (273, 1), (334, 1), (355, 1), (450, 1), (711, 1), (1510, 1), (1520, 1), (2145, 1), (3476, 1), (6373, 1), (11018, 1), (11794, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (45, 1), (53, 2), (173, 1), (215, 1), (233, 1), (301, 1), (373, 1), (488, 1), (527, 1), (626, 1), (1574, 1), (2224, 1), (2228, 1), (2656, 1), (5064, 1), (6315, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (50, 2), (53, 2), (55, 2), (58, 3), (77, 1), (90, 2), (170, 1), (172, 1), (185, 1), (225, 1), (293, 1), (452, 1), (526, 1), (827, 1), (1348, 1), (1449, 1), (1471, 1), (1668, 1), (1849, 1), (1909, 1), (2238, 1), (3678, 1), (3830, 1), (4032, 1), (5860, 1), (6213, 1), (8137, 1), (13612, 1)], [(8, 1), (19, 3), (20, 3), (22, 1), (25, 2), (31, 1), (37, 1), (45, 1), (50, 2), (53, 4), (58, 3), (71, 1), (77, 1), (90, 1), (91, 2), (94, 1), (95, 1), (161, 1), (172, 1), (241, 1), (256, 1), (269, 1), (387, 1), (407, 1), (452, 1), (583, 1), (711, 1), (723, 1), (880, 1), (1041, 1), (1080, 1), (1102, 1), (1308, 1), (1520, 1), (1824, 1), (2048, 1), (3330, 1), (3433, 1), (5585, 1), (5831, 1), (5960, 1), (6026, 1), (6213, 1), (7685, 1), (8962, 1), (11018, 1), (13613, 1)], [(7, 2), (8, 1), (20, 4), (22, 1), (25, 2), (31, 2), (45, 1), (50, 3), (53, 3), (58, 1), (71, 1), (77, 1), (90, 2), (95, 1), (96, 1), (161, 1), (169, 1), (182, 1), (187, 1), (269, 1), (286, 1), (415, 1), (450, 1), (581, 1), (645, 1), (680, 1), (767, 1), (830, 1), (1102, 1), (1308, 1), (1311, 1), (1598, 1), (2039, 1), (2145, 1), (2985, 1), (3041, 1), (4163, 1), (4677, 1), (6026, 3), (6053, 1), (6364, 1), (8923, 1), (9413, 1), (13614, 1), (13615, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 2), (53, 2), (71, 1), (91, 1), (96, 1), (173, 1), (190, 1), (214, 1), (406, 1), (420, 1), (448, 1), (532, 1), (607, 1), (704, 1), (896, 1), (1384, 1), (1820, 1), (2359, 1), (2744, 1), (3468, 1), (3739, 1), (5257, 1), (8957, 1), (11228, 1), (11794, 1), (13616, 1)], [(7, 1), (8, 1), (19, 3), (20, 2), (22, 1), (25, 2), (31, 1), (50, 1), (53, 4), (55, 1), (58, 1), (77, 1), (90, 2), (91, 1), (95, 1), (97, 1), (206, 1), (381, 1), (415, 1), (449, 1), (530, 1), (583, 1), (902, 1), (906, 1), (1311, 1), (1362, 1), (1777, 1), (2471, 1), (2751, 1), (3468, 1), (5638, 1), (6213, 1), (7406, 1), (13617, 1), (13618, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (90, 1), (334, 1), (351, 1), (428, 1), (448, 1), (675, 1), (830, 1), (1392, 1), (5054, 1), (7096, 1), (11524, 1), (13579, 1), (13619, 1), (13620, 1), (13621, 1), (13622, 1)], [(8, 1), (20, 3), (24, 1), (25, 1), (31, 2), (37, 1), (53, 2), (55, 1), (58, 1), (97, 1), (173, 1), (185, 1), (215, 1), (415, 1), (418, 1), (448, 1), (1305, 1), (6983, 1), (8544, 1), (8966, 1), (11389, 1), (13619, 1), (13623, 1), (13624, 1), (13625, 1)], [(8, 1), (19, 1), (53, 1), (55, 1), (58, 1), (77, 1), (173, 1), (289, 1), (301, 1), (525, 1), (535, 1), (877, 1), (7195, 1), (13626, 1), (13627, 1)], [(8, 1), (19, 2), (20, 6), (31, 1), (50, 4), (53, 4), (58, 2), (65, 1), (74, 1), (77, 1), (97, 1), (172, 1), (215, 1), (226, 1), (256, 1), (279, 1), (285, 1), (323, 1), (399, 1), (448, 1), (526, 1), (639, 1), (1092, 1), (1308, 1), (1470, 1), (2030, 1), (2785, 1), (3213, 1), (3384, 1), (3804, 1), (4357, 1), (6941, 1), (8645, 1), (8852, 1), (8980, 1), (9235, 1), (10601, 1), (11793, 1), (13628, 1)], [(1544, 1), (13629, 1)], [(8, 1), (24, 1), (11454, 1)], [(8, 1), (19, 3), (20, 3), (23, 1), (37, 1), (50, 2), (53, 3), (65, 1), (71, 1), (95, 1), (108, 1), (172, 1), (215, 2), (226, 1), (240, 1), (275, 1), (503, 1), (886, 1), (1068, 1), (1239, 1), (1296, 1), (1495, 1), (2096, 1), (2139, 1), (2589, 1), (2648, 1), (3417, 1), (4210, 1), (4875, 1), (5430, 1), (11241, 1), (13630, 1)], [(7, 1), (8, 1), (19, 5), (20, 9), (22, 3), (24, 1), (25, 2), (31, 3), (50, 2), (53, 11), (54, 1), (55, 2), (58, 4), (65, 2), (71, 1), (82, 2), (95, 1), (97, 1), (108, 3), (111, 1), (117, 1), (124, 2), (195, 1), (201, 1), (203, 1), (214, 1), (215, 3), (232, 1), (256, 1), (268, 1), (278, 1), (285, 1), (289, 2), (407, 1), (441, 1), (454, 1), (538, 1), (688, 1), (691, 1), (709, 1), (830, 1), (966, 2), (1239, 2), (1275, 1), (1308, 1), (1392, 1), (1529, 1), (1540, 3), (1824, 1), (1909, 1), (1960, 1), (1984, 3), (2440, 1), (2820, 1), (2839, 2), (3363, 1), (3947, 1), (4062, 1), (4073, 1), (4465, 1), (4468, 1), (5028, 1), (5712, 1), (5788, 1), (6385, 1), (7392, 1), (11887, 1), (12416, 2), (13537, 1), (13618, 1), (13631, 1), (13632, 1), (13633, 1), (13634, 1), (13635, 1), (13636, 1), (13637, 1), (13638, 1), (13639, 1)], [(8, 1), (10, 1), (18, 1), (19, 1), (20, 4), (22, 2), (23, 1), (25, 4), (31, 2), (37, 1), (53, 3), (58, 1), (65, 1), (69, 1), (77, 3), (82, 1), (95, 1), (108, 2), (124, 2), (190, 1), (215, 2), (225, 1), (289, 1), (293, 1), (328, 1), (373, 1), (487, 1), (531, 1), (605, 1), (609, 1), (782, 1), (833, 1), (1102, 1), (1277, 1), (1282, 1), (1348, 1), (1517, 1), (1540, 1), (2615, 1), (3103, 1), (3319, 1), (4073, 1), (4462, 1), (5049, 1), (5417, 1), (6192, 1), (6470, 1), (10555, 1), (12416, 3), (12687, 1), (13640, 1), (13641, 1), (13642, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (22, 1), (50, 1), (65, 1), (77, 2), (215, 1), (256, 1), (394, 1), (813, 1), (1180, 1), (2276, 1), (2741, 1), (3883, 1), (8146, 1), (8564, 1), (12687, 1), (13643, 1), (13644, 1)], [(8, 1), (24, 1), (31, 1), (50, 1), (65, 2), (77, 1), (95, 1), (418, 1), (531, 1), (1239, 1), (1308, 1), (3745, 1), (5882, 1), (13645, 1)], [(8, 1), (20, 1), (58, 2), (77, 1), (82, 1), (99, 1), (215, 1), (276, 1), (285, 1), (293, 1), (342, 1), (763, 1), (1668, 1), (2055, 1), (2359, 1)], [(8, 1), (18, 2), (19, 1), (22, 1), (25, 2), (50, 1), (53, 1), (90, 1), (190, 2), (269, 2), (293, 1), (457, 1), (639, 1), (796, 1), (828, 1), (947, 1), (1041, 1), (1129, 1), (1241, 1), (1248, 1), (1540, 1), (1773, 1), (1988, 1), (2985, 1), (4640, 1), (5257, 1), (5732, 1), (11998, 1), (13378, 1), (13646, 1)], [(8, 1), (20, 1), (53, 1), (65, 1), (95, 1), (359, 1), (406, 1), (418, 1), (777, 1), (828, 1), (1239, 1), (1901, 1), (2440, 1), (5092, 1), (6213, 1), (12302, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (29, 1), (31, 1), (50, 5), (53, 7), (58, 1), (64, 2), (65, 2), (77, 1), (82, 1), (111, 2), (161, 1), (191, 1), (193, 1), (215, 1), (256, 2), (269, 1), (293, 1), (373, 1), (516, 1), (654, 1), (710, 1), (1044, 1), (1080, 1), (1102, 1), (1122, 1), (1163, 2), (1324, 1), (1526, 1), (1702, 1), (1797, 1), (2100, 1), (2700, 1), (4865, 1), (6218, 1), (6734, 1), (7429, 2), (8245, 1), (8532, 1), (8788, 1), (11971, 1), (13367, 1), (13647, 1), (13648, 1), (13649, 1), (13650, 1), (13651, 1), (13652, 1)], [(8, 1), (20, 5), (26, 1), (31, 4), (53, 4), (77, 1), (85, 1), (88, 1), (111, 2), (117, 1), (202, 1), (209, 1), (232, 1), (285, 1), (708, 1), (1041, 1), (1069, 1), (1239, 1), (1765, 1), (2839, 1), (3354, 1), (3480, 1), (3638, 1), (3700, 1), (4439, 1), (7055, 1), (7392, 1), (13367, 1), (13653, 1), (13654, 1), (13655, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 2), (31, 2), (37, 1), (50, 1), (53, 3), (58, 2), (69, 1), (92, 1), (109, 1), (185, 1), (190, 1), (215, 1), (293, 1), (306, 1), (433, 1), (531, 1), (757, 1), (775, 1), (897, 1), (1012, 1), (1081, 1), (1239, 1), (1450, 1), (2039, 1), (2245, 1), (2799, 1), (2926, 1), (3700, 1), (4432, 1), (5564, 1), (5969, 1), (7392, 1), (13367, 1), (13656, 1), (13657, 1), (13658, 1)], [(8, 1), (22, 1), (31, 1), (50, 1), (53, 2), (214, 1), (269, 1), (359, 1), (418, 1), (827, 1), (913, 1), (922, 1), (1235, 1), (1239, 1), (2479, 1), (2839, 1), (4199, 1), (7601, 1), (10315, 2), (11971, 1)], [(8, 1), (18, 4), (20, 6), (22, 3), (25, 2), (31, 3), (50, 3), (53, 4), (58, 1), (65, 3), (77, 2), (82, 2), (95, 1), (97, 1), (108, 2), (124, 1), (185, 1), (186, 1), (190, 1), (206, 1), (214, 1), (246, 1), (256, 2), (269, 2), (289, 2), (293, 2), (351, 1), (373, 2), (428, 1), (448, 1), (452, 1), (489, 1), (516, 1), (704, 1), (711, 1), (796, 1), (827, 1), (1241, 1), (1248, 1), (1350, 1), (1517, 1), (1685, 1), (1877, 1), (1937, 1), (1964, 1), (1988, 1), (2239, 1), (2322, 1), (2753, 1), (2795, 1), (3121, 1), (3745, 1), (4062, 1), (4896, 1), (5732, 1), (7895, 1), (8241, 1), (9019, 1), (10315, 1), (10680, 1), (12131, 1), (12479, 1), (13367, 1), (13535, 1), (13645, 1), (13659, 1), (13660, 1), (13661, 1), (13662, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (53, 4), (55, 1), (58, 1), (65, 2), (77, 1), (187, 1), (215, 1), (334, 1), (373, 1), (414, 1), (459, 1), (504, 1), (708, 1), (1239, 1), (1517, 1), (3013, 1), (3047, 1), (3296, 1), (3942, 1), (4109, 1), (4164, 1), (4296, 1), (5952, 1), (6317, 1), (10422, 1), (13367, 1), (13663, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (31, 1), (50, 2), (53, 5), (65, 1), (109, 2), (111, 1), (186, 1), (214, 1), (220, 1), (305, 1), (309, 1), (531, 1), (632, 1), (777, 1), (1041, 1), (1239, 1), (1260, 1), (2795, 1), (2862, 1), (3419, 1), (5426, 1), (5743, 1), (6073, 1), (6248, 1), (6544, 1), (7143, 1), (10159, 1), (13367, 1), (13664, 1), (13665, 1), (13666, 1)], [(8, 1), (50, 1), (53, 1), (77, 1), (106, 1), (414, 1), (418, 1), (2862, 1), (4697, 1), (5743, 1), (7195, 1), (8011, 1)], [(8, 1), (18, 1), (19, 5), (20, 1), (31, 1), (50, 1), (53, 4), (58, 1), (95, 1), (109, 1), (195, 1), (215, 1), (293, 1), (338, 1), (359, 1), (373, 1), (392, 1), (531, 1), (708, 1), (743, 1), (902, 1), (914, 1), (1239, 2), (2259, 1), (2456, 1), (3528, 1), (3700, 1), (3709, 1), (6385, 1), (8104, 1), (9239, 1), (9696, 1), (13667, 1), (13668, 1), (13669, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (50, 2), (53, 4), (58, 1), (75, 1), (77, 1), (95, 1), (109, 1), (193, 1), (206, 1), (215, 1), (269, 1), (359, 1), (373, 2), (415, 1), (459, 1), (516, 1), (763, 1), (1041, 1), (1102, 1), (2029, 1), (3416, 1), (6402, 1), (7826, 1), (10496, 1), (12501, 1), (13130, 1), (13670, 1), (13671, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (22, 2), (25, 2), (30, 1), (31, 3), (40, 1), (50, 2), (53, 9), (65, 1), (69, 1), (71, 1), (77, 1), (82, 1), (85, 1), (90, 1), (95, 1), (106, 1), (108, 3), (117, 1), (161, 1), (169, 1), (173, 2), (195, 1), (215, 1), (232, 1), (268, 1), (275, 1), (285, 3), (310, 1), (328, 1), (337, 1), (365, 1), (373, 2), (392, 1), (428, 1), (459, 2), (697, 1), (742, 1), (897, 1), (1159, 1), (1239, 2), (1458, 1), (1691, 1), (1747, 1), (1765, 1), (2034, 1), (2234, 1), (2440, 1), (2862, 2), (3102, 1), (3634, 1), (3686, 1), (5743, 1), (6344, 1), (7179, 1), (8011, 1), (8245, 1), (9239, 1), (11247, 1), (12745, 1), (13672, 1), (13673, 1)], [(8, 1), (18, 2), (19, 1), (20, 9), (22, 1), (25, 2), (31, 2), (45, 1), (50, 5), (53, 15), (58, 2), (77, 2), (85, 1), (90, 1), (108, 1), (109, 2), (111, 3), (117, 1), (193, 1), (197, 1), (215, 1), (232, 1), (274, 1), (281, 1), (293, 1), (305, 1), (328, 1), (373, 3), (406, 1), (424, 1), (441, 1), (600, 1), (645, 1), (711, 1), (771, 1), (1122, 1), (1139, 1), (1239, 1), (1458, 1), (1462, 1), (1630, 1), (1664, 1), (2036, 1), (2253, 1), (2440, 1), (2457, 1), (2686, 1), (2692, 1), (2862, 1), (3106, 1), (3435, 2), (3458, 1), (3700, 1), (4442, 1), (4557, 1), (4854, 1), (4957, 1), (5682, 1), (7402, 1), (7892, 1), (8278, 1), (9525, 1), (11984, 1), (11987, 1), (12068, 1), (12163, 1), (12169, 1), (13291, 1), (13367, 1), (13623, 1), (13674, 1), (13675, 1), (13676, 1), (13677, 1), (13678, 1), (13679, 1)], [(8, 1), (10, 1), (11, 1), (18, 2), (19, 4), (20, 4), (21, 1), (22, 2), (25, 3), (31, 2), (53, 10), (55, 1), (58, 2), (65, 3), (72, 1), (77, 3), (90, 1), (92, 1), (97, 1), (111, 1), (123, 1), (256, 1), (278, 1), (281, 1), (373, 1), (378, 1), (448, 1), (697, 1), (777, 1), (827, 1), (884, 1), (897, 2), (1041, 1), (1239, 1), (1458, 1), (1485, 2), (1540, 1), (1667, 1), (1702, 1), (1760, 1), (2019, 1), (2238, 1), (2259, 1), (2371, 2), (2438, 1), (2772, 1), (3125, 1), (3780, 1), (3846, 1), (4282, 2), (4549, 1), (4884, 1), (4957, 1), (5092, 1), (5257, 1), (9239, 1), (11912, 2), (11958, 1), (11971, 1), (12595, 1), (13674, 1), (13680, 1), (13681, 1), (13682, 1), (13683, 1)], [(8, 1), (20, 1), (25, 1), (31, 2), (53, 2), (58, 1), (65, 1), (69, 1), (95, 1), (197, 1), (373, 1), (1041, 1), (1239, 1), (1255, 1), (2985, 1), (4789, 1), (5726, 1), (5825, 1), (5914, 1), (7034, 1), (7114, 1), (13684, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 4), (55, 1), (90, 1), (214, 1), (215, 1), (220, 1), (293, 1), (394, 1), (450, 1), (711, 1), (1041, 1), (1470, 1), (2849, 1), (4004, 1), (5655, 1), (6583, 1), (7200, 1), (7898, 1), (10916, 1), (12159, 1), (13685, 1), (13686, 1), (13687, 1), (13688, 1), (13689, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 2), (30, 2), (31, 3), (37, 1), (45, 2), (50, 1), (53, 4), (71, 3), (90, 2), (108, 1), (161, 2), (173, 1), (193, 2), (206, 1), (354, 1), (442, 1), (452, 1), (516, 2), (581, 1), (654, 1), (763, 1), (830, 1), (834, 1), (1072, 1), (1342, 1), (1377, 1), (1529, 1), (1534, 1), (1570, 1), (1686, 1), (1820, 1), (2140, 1), (2259, 1), (2850, 1), (3025, 1), (3041, 1), (3043, 1), (4062, 1), (4439, 1), (4670, 1), (4890, 1), (5264, 1), (6211, 1), (7464, 1), (8318, 1), (9329, 1), (11241, 1), (11518, 1), (11742, 1), (11987, 1), (13685, 1), (13690, 1), (13691, 1), (13692, 1), (13693, 1), (13694, 1)], [(21, 1), (247, 1), (387, 1), (1742, 1), (1894, 1), (2847, 1)], [(8, 1), (18, 1), (20, 10), (22, 1), (25, 2), (31, 1), (50, 3), (53, 6), (55, 1), (65, 2), (95, 1), (96, 1), (99, 3), (117, 1), (124, 1), (190, 1), (197, 1), (215, 1), (232, 1), (273, 1), (307, 1), (324, 1), (373, 1), (420, 1), (428, 1), (462, 2), (516, 1), (600, 1), (693, 1), (777, 2), (778, 1), (809, 1), (812, 1), (830, 1), (833, 1), (983, 1), (1072, 1), (1255, 1), (1296, 1), (1350, 1), (1506, 1), (1582, 1), (1683, 1), (1820, 1), (1894, 1), (2030, 1), (2581, 1), (3355, 1), (3745, 1), (4388, 1), (4464, 1), (5209, 1), (7416, 1), (9896, 1), (11812, 1), (13695, 1), (13696, 1), (13697, 1), (13698, 1), (13699, 1), (13700, 1), (13701, 1), (13702, 1), (13703, 1), (13704, 1), (13705, 1), (13706, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (21, 2), (25, 1), (32, 1), (50, 3), (53, 2), (85, 1), (90, 1), (97, 1), (99, 1), (108, 1), (111, 1), (185, 1), (190, 1), (214, 1), (236, 1), (373, 1), (448, 1), (452, 1), (482, 1), (645, 2), (771, 1), (827, 1), (834, 1), (884, 1), (1239, 1), (1520, 1), (1607, 1), (1990, 1), (2096, 1), (2608, 1), (5956, 1), (10738, 1), (12513, 1), (13500, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (25, 2), (31, 3), (50, 2), (53, 4), (65, 1), (71, 1), (77, 3), (85, 1), (99, 1), (197, 1), (263, 1), (286, 1), (354, 1), (373, 1), (420, 2), (516, 1), (827, 1), (897, 1), (1239, 1), (1332, 1), (1699, 2), (2383, 1), (2652, 1), (6003, 1), (6742, 1), (7718, 1), (11939, 1), (13306, 1), (13707, 1), (13708, 1), (13709, 1)], [(7, 1), (8, 1), (18, 3), (20, 5), (22, 2), (25, 6), (29, 1), (31, 1), (37, 1), (50, 3), (53, 5), (55, 1), (65, 2), (77, 2), (85, 1), (99, 4), (108, 1), (122, 1), (166, 1), (206, 1), (214, 1), (269, 1), (274, 1), (353, 1), (373, 1), (415, 1), (516, 1), (526, 1), (581, 1), (654, 1), (697, 1), (742, 1), (812, 1), (827, 1), (1005, 1), (1072, 1), (1139, 1), (1308, 1), (1324, 1), (1377, 1), (1877, 1), (2162, 1), (2470, 1), (3140, 1), (3275, 1), (3426, 1), (3999, 1), (5063, 1), (5081, 1), (7854, 1), (9851, 1), (10083, 1), (13141, 1), (13710, 1), (13711, 1), (13712, 1), (13713, 1), (13714, 1), (13715, 1)], [(8, 1), (18, 1), (20, 7), (21, 1), (22, 3), (25, 5), (31, 1), (50, 5), (53, 13), (58, 2), (77, 3), (94, 1), (97, 2), (108, 1), (124, 2), (161, 1), (185, 2), (215, 3), (256, 1), (293, 1), (307, 1), (354, 1), (387, 1), (392, 1), (410, 1), (415, 1), (428, 1), (443, 1), (580, 2), (827, 1), (833, 2), (1239, 1), (1298, 1), (1308, 1), (1392, 2), (1459, 1), (1499, 1), (1590, 3), (1719, 1), (1756, 1), (2028, 1), (2527, 1), (2785, 1), (3582, 1), (3741, 1), (3986, 1), (4055, 1), (4785, 1), (4842, 1), (5064, 1), (5065, 1), (5999, 1), (6112, 1), (6229, 1), (8444, 1), (8485, 1), (9698, 1), (9744, 1), (10584, 1), (12159, 1), (13716, 1), (13717, 1), (13718, 1), (13719, 1), (13720, 1)], [(124, 1), (273, 1), (301, 1), (1714, 1), (2149, 1)], [(8, 1), (31, 1), (65, 1), (95, 1), (600, 1), (2615, 1), (2849, 1), (3476, 1), (13721, 1)], [(8, 1), (20, 4), (22, 1), (31, 1), (40, 1), (50, 2), (53, 2), (55, 1), (58, 1), (65, 1), (77, 1), (90, 1), (214, 1), (256, 1), (420, 1), (450, 1), (505, 1), (774, 1), (983, 1), (990, 1), (1122, 1), (1308, 1), (1689, 1), (2162, 1), (2789, 1), (2849, 1), (3594, 1), (4296, 1), (5259, 1), (5339, 1), (8219, 1), (12158, 1), (13722, 1), (13723, 1)], [(7, 1), (8, 1), (18, 3), (20, 5), (25, 1), (29, 1), (31, 1), (50, 1), (53, 1), (55, 1), (65, 1), (71, 1), (82, 2), (95, 1), (99, 2), (124, 1), (193, 1), (262, 1), (269, 1), (285, 1), (307, 1), (324, 2), (331, 1), (373, 1), (504, 1), (632, 1), (833, 1), (999, 1), (1102, 2), (1699, 2), (2259, 1), (2917, 1), (5263, 1), (10584, 1), (13223, 1), (13724, 1)], [(1544, 1), (13725, 1)], [(8, 1), (18, 1), (756, 1), (7295, 1), (13726, 1)], [(8, 1), (18, 2), (19, 2), (20, 1), (50, 2), (53, 2), (54, 2), (58, 1), (387, 1), (869, 1), (1449, 1), (1478, 1), (1929, 1), (3614, 1), (7286, 1), (7337, 1), (7872, 1), (13579, 1)], [(20, 2), (30, 2), (31, 1), (34, 2), (45, 2), (50, 1), (53, 2), (64, 2), (66, 1), (95, 1), (99, 2), (117, 2), (233, 1), (373, 1), (603, 1), (897, 1), (1163, 1), (1328, 1), (2185, 1), (2259, 1), (2712, 1), (3013, 1), (12753, 1), (13727, 1), (13728, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (24, 1), (25, 2), (50, 1), (53, 2), (54, 1), (55, 1), (91, 1), (117, 1), (166, 1), (232, 1), (361, 1), (365, 1), (527, 1), (744, 1), (855, 1), (1506, 1), (1702, 1), (1799, 1), (2131, 1), (3134, 1), (3578, 1), (3670, 1), (3901, 1), (6129, 1), (6534, 1), (9843, 1), (11898, 1), (13729, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (25, 1), (31, 1), (50, 3), (53, 3), (58, 1), (65, 2), (74, 1), (77, 2), (82, 1), (90, 1), (92, 1), (96, 1), (97, 1), (111, 1), (124, 1), (185, 1), (286, 1), (394, 1), (415, 1), (419, 1), (459, 1), (569, 1), (708, 2), (833, 1), (834, 1), (897, 1), (1444, 1), (1471, 1), (1596, 1), (2383, 1), (3633, 1), (4157, 1), (4652, 1), (5054, 2), (6752, 1), (7288, 1), (7651, 1), (9157, 1), (10835, 1), (12192, 1), (12354, 1), (12356, 1), (13245, 1), (13493, 1), (13730, 1), (13731, 1), (13732, 1), (13733, 1)], [(8, 1), (19, 2), (20, 1), (22, 1), (23, 1), (25, 2), (31, 1), (53, 2), (54, 1), (55, 1), (65, 1), (96, 1), (122, 1), (193, 1), (305, 1), (320, 1), (531, 1), (706, 1), (727, 1), (800, 1), (903, 1), (990, 1), (1010, 1), (1228, 1), (1580, 2), (1694, 1), (2199, 1), (5896, 1), (9847, 1), (10017, 1), (11905, 1), (13126, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (26, 2), (31, 1), (37, 1), (50, 1), (53, 1), (58, 2), (77, 1), (85, 1), (90, 1), (97, 1), (166, 1), (174, 1), (190, 1), (193, 1), (215, 1), (337, 1), (763, 1), (1102, 1), (1165, 1), (1242, 1), (1580, 3), (1628, 1), (1675, 1), (1702, 1), (2166, 1), (2344, 1), (2348, 1), (3469, 1), (3553, 1), (3750, 1), (4619, 1), (7069, 1), (7918, 1), (8352, 1), (13734, 1), (13735, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (53, 2), (65, 2), (90, 1), (193, 1), (253, 1), (317, 1), (347, 1), (426, 1), (459, 1), (506, 1), (777, 1), (1042, 1), (1481, 1), (2222, 1), (2820, 1), (3434, 1), (8322, 1), (8336, 1), (9667, 1), (13736, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (37, 1), (50, 1), (53, 2), (54, 1), (90, 2), (108, 1), (109, 3), (193, 1), (197, 1), (241, 1), (328, 1), (353, 1), (419, 1), (434, 1), (1248, 1), (2200, 1), (2344, 1), (6228, 1), (6364, 1), (7151, 1), (8435, 1), (9333, 1), (13041, 1), (13594, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (24, 1), (25, 2), (37, 1), (50, 1), (53, 3), (278, 1), (365, 1), (435, 1), (450, 1), (777, 1), (1270, 1), (1738, 1), (1741, 1), (3426, 1), (4369, 1), (4575, 1), (12021, 1), (12194, 1), (13737, 2)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 3), (23, 1), (53, 1), (55, 1), (261, 1), (426, 1), (448, 1), (505, 1), (506, 1), (516, 1), (626, 1), (903, 1), (1071, 1), (1228, 1), (1354, 1), (1383, 1), (1524, 1), (1580, 2), (2088, 1), (3737, 1), (4576, 1), (5708, 1), (6988, 1), (7397, 1), (10285, 1), (12037, 1), (13738, 1)], [(247, 1), (331, 1), (3886, 1)], [(8, 1), (18, 3), (20, 6), (31, 2), (45, 1), (50, 2), (53, 3), (82, 1), (84, 1), (112, 1), (117, 1), (232, 1), (458, 1), (516, 2), (531, 1), (626, 1), (680, 1), (688, 1), (708, 1), (756, 1), (1253, 1), (1329, 1), (1487, 1), (2324, 1), (2331, 1), (2340, 1), (2658, 1), (3426, 1), (3887, 1), (3937, 1), (5092, 1), (5481, 1), (6165, 1), (6199, 1), (6957, 1), (10282, 1), (13739, 1)], [(8, 1), (18, 2), (20, 2), (25, 2), (31, 1), (40, 1), (45, 2), (50, 2), (53, 3), (95, 1), (282, 1), (301, 1), (365, 1), (516, 1), (891, 1), (1044, 1), (1138, 1), (2304, 1), (2428, 1), (2638, 1), (3634, 1), (5431, 1), (8308, 1), (8913, 1), (11897, 1), (13740, 1), (13741, 1), (13742, 1)], [(8, 1), (20, 2), (54, 1), (90, 1), (95, 1), (178, 1), (301, 1), (1044, 1), (2344, 1), (4841, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 1), (25, 3), (31, 1), (37, 2), (50, 2), (53, 7), (55, 1), (58, 1), (74, 1), (109, 2), (117, 1), (124, 1), (193, 1), (197, 1), (209, 1), (215, 1), (232, 1), (306, 1), (334, 1), (428, 2), (448, 1), (488, 1), (504, 1), (709, 1), (776, 1), (833, 1), (1010, 1), (1015, 1), (1248, 1), (1477, 1), (1557, 1), (1800, 1), (2137, 1), (2211, 1), (2258, 1), (3020, 1), (3176, 1), (3710, 1), (3858, 1), (4945, 1), (5224, 1), (5775, 1), (7180, 1), (7360, 1), (7933, 1), (9588, 1), (11935, 1), (13743, 1), (13744, 1)], [(53, 1), (64, 1), (247, 1), (913, 1), (1324, 1), (13745, 1)], [(1178, 1), (13746, 1)], [(8, 1), (2925, 1), (6315, 1)], [(8, 1), (20, 1), (45, 1), (53, 3), (166, 1), (173, 1), (229, 1), (307, 1), (310, 1), (331, 1), (902, 1), (2692, 1), (4533, 1), (4681, 1), (6228, 1), (6794, 1), (13747, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 1), (24, 1), (25, 3), (31, 1), (37, 1), (50, 1), (53, 4), (55, 1), (71, 2), (82, 2), (90, 2), (95, 1), (172, 1), (173, 3), (203, 2), (215, 2), (256, 2), (268, 1), (293, 1), (310, 1), (316, 1), (337, 1), (459, 1), (531, 1), (601, 1), (645, 1), (743, 1), (744, 1), (886, 1), (913, 1), (1100, 2), (1324, 1), (1506, 1), (1520, 1), (1574, 1), (1824, 1), (1997, 1), (2270, 1), (2839, 1), (3352, 1), (3358, 1), (3594, 1), (4761, 1), (5567, 2), (6315, 1), (6633, 1), (7362, 1), (8928, 1), (11987, 1), (12560, 1), (13748, 1), (13749, 1)], [(8, 1), (20, 1), (22, 1), (50, 2), (53, 4), (82, 1), (241, 1), (256, 1), (414, 1), (419, 1), (516, 1), (580, 1), (753, 1), (827, 1), (913, 1), (1699, 1), (2543, 1), (4411, 1), (4801, 1), (5064, 1), (5474, 1), (5921, 1), (6137, 1), (8413, 1), (12169, 1), (12693, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 1), (45, 1), (50, 1), (53, 2), (85, 1), (186, 1), (215, 1), (381, 1), (419, 1), (428, 1), (458, 1), (486, 1), (516, 1), (623, 1), (704, 1), (897, 1), (1010, 1), (1527, 1), (1668, 1), (1820, 1), (2253, 1), (2921, 1), (3751, 1), (5492, 1), (9221, 1), (13750, 1)], [(64, 1), (287, 1), (351, 1), (1178, 1), (3264, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (32, 1), (45, 2), (53, 1), (54, 2), (108, 1), (117, 1), (123, 1), (232, 1), (531, 1), (1044, 1), (2351, 1), (3020, 1), (4200, 1), (5298, 1), (6020, 1), (6262, 1), (7295, 1), (11739, 1), (13751, 1)], [(8, 1), (19, 2), (20, 4), (25, 2), (31, 1), (32, 1), (45, 1), (50, 4), (53, 6), (58, 1), (83, 1), (95, 1), (117, 1), (161, 1), (232, 1), (263, 1), (281, 1), (289, 1), (347, 1), (373, 1), (827, 1), (833, 1), (1237, 1), (1458, 1), (1973, 1), (3114, 1), (3359, 1), (4563, 1), (6332, 1), (7295, 1), (7506, 1), (8378, 1), (10686, 1), (10887, 1), (13752, 1)], [(8, 1), (20, 2), (32, 1), (45, 1), (50, 1), (53, 1), (54, 1), (90, 1), (95, 1), (122, 1), (193, 1), (347, 1), (406, 1), (2986, 1), (4872, 1), (6536, 1), (10685, 1)], [(8, 1), (50, 2), (54, 1), (268, 1), (2849, 1), (3988, 1), (4299, 1), (5788, 1), (7184, 1), (8427, 1)], [(8, 1), (20, 1), (25, 1), (354, 1), (426, 1), (428, 1), (459, 1), (5011, 1), (6917, 1), (10752, 1), (13753, 1)], [(8, 1), (19, 1), (20, 1), (45, 2), (53, 1), (193, 1), (331, 1), (414, 1), (1044, 1), (1374, 1), (1506, 1), (1702, 1), (3622, 1), (7295, 1), (13754, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (74, 1), (347, 1), (678, 1), (702, 1), (777, 1), (1778, 1), (6803, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (53, 1), (54, 1), (64, 1), (85, 1), (90, 1), (97, 1), (109, 1), (173, 2), (706, 1), (1596, 1), (1764, 1), (2618, 1), (2849, 1), (3221, 1), (3760, 1), (4013, 1), (4544, 1), (5120, 1), (6352, 1), (13755, 1)], [(7742, 1)], [(8, 1), (18, 1), (31, 1), (50, 2), (53, 2), (71, 1), (95, 1), (96, 1), (117, 1), (122, 1), (182, 1), (190, 1), (232, 1), (415, 1), (448, 1), (452, 1), (706, 1), (1259, 1), (2184, 1), (2365, 1), (2389, 1), (3700, 1), (4402, 1), (4677, 1), (6213, 1), (7742, 1)], [(7, 1), (8, 1), (20, 1), (30, 1), (53, 2), (58, 1), (77, 1), (407, 2), (410, 1), (1348, 1), (1596, 1), (2117, 1), (5999, 1), (7030, 1), (12378, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (45, 1), (53, 1), (55, 1), (58, 1), (90, 1), (173, 1), (193, 1), (241, 1), (293, 1), (420, 1), (1010, 1), (1747, 1), (1764, 1), (3522, 1), (4439, 1), (4616, 1), (7533, 1), (13756, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (45, 2), (50, 4), (53, 5), (65, 3), (71, 1), (77, 1), (90, 1), (109, 1), (173, 1), (233, 1), (373, 1), (428, 1), (680, 1), (703, 1), (706, 2), (744, 2), (830, 1), (1082, 1), (1377, 1), (1596, 2), (1630, 1), (1903, 1), (1999, 1), (3227, 1), (3907, 1), (4178, 1), (4540, 1), (4605, 1), (5743, 1), (6352, 1), (8908, 1), (9607, 1), (11430, 1), (13757, 1), (13758, 1), (13759, 1), (13760, 1), (13761, 1)], [(20, 2), (64, 1), (247, 1), (600, 1), (1159, 2), (1580, 1), (5657, 1), (12009, 1)], [(8, 1), (20, 2), (21, 1), (22, 2), (37, 1), (50, 1), (53, 1), (65, 1), (85, 1), (88, 1), (90, 1), (117, 2), (173, 1), (215, 1), (232, 1), (256, 1), (516, 1), (759, 1), (1159, 2), (1163, 1), (1342, 1), (1801, 1), (2564, 1), (2925, 1), (3353, 1), (3389, 1), (3613, 1), (5657, 2), (5719, 1), (6569, 1), (7005, 1), (7295, 1), (13762, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (32, 1), (53, 1), (64, 1), (117, 1), (174, 1), (276, 1), (691, 1), (1025, 1), (1159, 1), (2906, 1), (8103, 1), (12009, 1)], [(8, 1), (20, 7), (21, 5), (22, 1), (25, 2), (37, 2), (50, 1), (53, 2), (77, 1), (85, 1), (90, 1), (98, 1), (117, 1), (232, 1), (256, 1), (450, 1), (516, 1), (893, 1), (983, 1), (1159, 3), (1308, 1), (1580, 1), (1616, 1), (1858, 1), (1978, 1), (2126, 2), (2515, 2), (2616, 1), (3088, 1), (3197, 2), (4317, 1), (5085, 1), (5199, 1), (5657, 2), (9928, 1), (12009, 1), (13763, 1), (13764, 1)], [(1159, 1), (1178, 1), (12009, 1)], [(64, 1), (65, 1), (247, 1), (13765, 1), (13766, 1)], [(65, 1), (1178, 1), (13767, 1), (13768, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (31, 2), (51, 1), (53, 5), (55, 1), (65, 2), (97, 1), (197, 1), (215, 1), (269, 1), (373, 1), (394, 1), (431, 1), (448, 1), (1025, 1), (1249, 1), (1462, 1), (1620, 1), (3352, 1), (4988, 1), (5851, 1), (5996, 1), (6574, 1), (8101, 1), (9342, 1), (9931, 1), (12017, 1), (13117, 1), (13769, 1), (13770, 1), (13771, 1)], [(7, 1), (8, 1), (45, 1), (83, 1), (215, 1), (301, 1), (459, 1), (1169, 1), (1929, 1), (2168, 2), (13772, 1)], [(64, 1), (65, 1), (247, 1), (13768, 1), (13773, 1)], [(65, 1), (1178, 1), (13768, 1), (13773, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (45, 2), (414, 1), (516, 1), (1718, 1), (2850, 1), (5714, 1), (8140, 1), (11008, 1), (13694, 1), (13774, 1), (13775, 1), (13776, 1)], [(64, 1), (65, 1), (247, 1), (6752, 1), (13777, 1)], [(65, 1), (1178, 1), (13778, 1), (13779, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (50, 1), (117, 1), (215, 1), (232, 1), (504, 1), (777, 1), (2886, 1), (3614, 1), (7359, 1), (13780, 1), (13781, 1), (13782, 1), (13783, 1)], [(8, 1), (25, 1), (53, 2), (55, 1), (331, 1), (365, 1), (703, 1), (1820, 1), (10752, 1), (13784, 1), (13785, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (37, 1), (45, 3), (53, 4), (109, 1), (382, 1), (600, 1), (1381, 1), (1529, 1), (1702, 1), (1801, 1), (2184, 1), (3467, 1), (3622, 1), (7295, 1), (11107, 1), (13786, 1), (13787, 1)], [(19, 1), (20, 2), (25, 1), (30, 1), (53, 1), (54, 1), (58, 1), (186, 1), (551, 1), (691, 1), (711, 2), (1057, 1), (1178, 1), (1198, 1), (2030, 1), (2201, 1), (3020, 1), (3786, 1), (7363, 1), (8103, 1), (12945, 1), (13117, 1), (13788, 1)], [(8, 1), (24, 1), (54, 1), (2259, 1), (11752, 1)], [(37, 1), (64, 1), (1178, 1), (1564, 1)], [(8, 1), (22, 1), (24, 1), (25, 1), (50, 1), (53, 1), (197, 1), (269, 1), (450, 1), (680, 1), (922, 1), (1416, 1), (1901, 1), (2348, 1), (2543, 1), (3425, 1), (3512, 1), (5498, 1), (12159, 1), (12195, 1)], [(8, 1), (53, 1), (54, 1), (122, 1), (1239, 1), (13630, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (25, 1), (32, 1), (45, 1), (50, 1), (53, 2), (55, 2), (58, 1), (109, 1), (186, 1), (307, 1), (347, 1), (418, 1), (774, 1), (1041, 1), (1044, 1), (1122, 1), (1570, 1), (1801, 1), (1806, 1), (2197, 1), (3574, 1), (4086, 1), (4787, 1), (4801, 1), (6211, 1), (6771, 1), (7295, 1), (7362, 1), (8192, 1), (9696, 1), (12068, 1), (12392, 1), (13789, 1), (13790, 1), (13791, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (50, 2), (53, 3), (58, 1), (65, 1), (75, 1), (90, 1), (92, 2), (97, 1), (109, 1), (111, 1), (117, 1), (193, 1), (206, 1), (209, 1), (232, 1), (275, 1), (293, 1), (307, 1), (347, 1), (441, 1), (1122, 2), (1239, 1), (1287, 1), (1354, 1), (1731, 1), (1811, 1), (2019, 2), (2479, 1), (2744, 1), (3397, 1), (4109, 1), (5011, 1), (6179, 1), (7295, 1), (8856, 1), (12068, 1), (13792, 1), (13793, 1), (13794, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (25, 1), (37, 1), (50, 1), (53, 2), (54, 1), (58, 1), (65, 1), (85, 1), (90, 1), (117, 1), (122, 1), (232, 1), (324, 1), (369, 1), (418, 1), (516, 1), (531, 1), (1342, 1), (1703, 1), (2467, 1), (2541, 1), (5795, 1), (6494, 1), (6885, 2), (11878, 1), (13795, 1)], [(53, 1), (64, 1), (247, 1), (1239, 1), (12222, 1)], [(53, 1), (1178, 1), (1239, 1), (7380, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (19, 1), (20, 2), (30, 1), (45, 1), (53, 2), (58, 1), (65, 1), (323, 1), (365, 1), (428, 1), (680, 1), (708, 1), (1699, 1), (2925, 1), (3446, 1), (5737, 1), (6794, 1), (7295, 1), (12017, 1), (13367, 2)], [(8, 1), (20, 1), (53, 1), (90, 1), (293, 1), (459, 1), (771, 1), (1041, 1), (1239, 1), (2184, 1), (2541, 1), (2911, 1), (4787, 1), (7742, 1), (8371, 1)], [(8, 1), (18, 1), (24, 1), (32, 1), (37, 1), (53, 1), (92, 1), (373, 1), (515, 1), (516, 1), (680, 1), (3095, 1), (6047, 1), (9179, 1)], [(8, 1), (18, 1), (21, 2), (25, 1), (31, 1), (90, 1), (108, 1), (226, 1), (710, 1), (2245, 1), (2625, 1), (3067, 1), (3537, 1), (5018, 1), (7295, 1), (8103, 1), (9185, 1), (9851, 1), (13796, 1)], [(8, 1), (18, 2), (19, 2), (20, 7), (22, 1), (31, 2), (50, 1), (51, 1), (53, 3), (54, 1), (55, 1), (58, 1), (71, 1), (77, 1), (90, 2), (108, 1), (111, 1), (185, 1), (226, 1), (228, 1), (355, 1), (415, 1), (680, 1), (753, 1), (830, 1), (1239, 1), (1441, 1), (2039, 1), (2196, 1), (2457, 1), (2839, 1), (3480, 1), (3852, 1), (4073, 1), (4228, 1), (5484, 1), (6750, 1), (7742, 1), (13797, 1), (13798, 1), (13799, 1), (13800, 1), (13801, 1)], [(8, 1), (20, 2), (53, 1), (77, 1), (201, 1), (407, 1), (1275, 1), (3446, 1), (9692, 1)], [(8, 1), (18, 1), (20, 3), (21, 2), (25, 1), (32, 1), (50, 2), (53, 9), (92, 1), (99, 1), (109, 1), (124, 1), (172, 1), (193, 1), (215, 1), (236, 1), (269, 1), (285, 1), (347, 1), (373, 2), (406, 1), (414, 1), (415, 1), (418, 1), (680, 1), (776, 1), (827, 1), (833, 1), (1010, 1), (1041, 1), (1239, 1), (1596, 1), (1630, 1), (2239, 1), (2479, 1), (2643, 1), (3700, 1), (4549, 1), (4935, 1), (7846, 1), (9528, 1), (11343, 1), (12177, 1), (13784, 1), (13802, 1), (13803, 1)], [(8, 1), (18, 2), (20, 4), (22, 2), (25, 1), (31, 1), (50, 1), (53, 4), (109, 1), (126, 1), (193, 2), (256, 1), (260, 1), (365, 1), (388, 1), (428, 1), (582, 1), (777, 1), (884, 1), (1159, 2), (1229, 1), (1244, 1), (2239, 1), (3999, 1), (4282, 1), (4585, 1), (5024, 1), (5639, 1), (11082, 1), (11204, 1), (11958, 1), (12834, 1), (13803, 1), (13804, 1), (13805, 1), (13806, 1)], [(8, 1), (19, 4), (20, 2), (22, 2), (25, 2), (31, 1), (45, 2), (50, 2), (53, 3), (55, 1), (69, 1), (193, 1), (310, 1), (427, 1), (601, 1), (645, 1), (711, 1), (827, 1), (842, 1), (902, 1), (921, 1), (1042, 1), (1080, 1), (1129, 1), (1385, 1), (2434, 1), (2469, 1), (2611, 1), (2850, 1), (3300, 1), (4789, 1), (5403, 1), (7305, 1), (8103, 1), (11713, 1), (11987, 1), (13807, 1)], [(8, 1), (20, 1), (25, 1), (45, 1), (53, 1), (95, 1), (193, 1), (215, 1), (406, 1), (414, 1), (450, 1), (697, 1), (711, 1), (903, 1), (1057, 1), (1528, 1), (2019, 1), (2983, 1), (4827, 1), (13126, 1), (13808, 1), (13809, 1), (13810, 1)], [(21, 1), (31, 2), (64, 1), (1178, 1), (13115, 1), (13811, 1)], [(19, 1), (53, 1), (247, 1), (2925, 1), (7295, 1), (13114, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (30, 1), (37, 1), (53, 3), (54, 1), (95, 1), (186, 1), (373, 2), (414, 1), (433, 1), (827, 1), (1122, 1), (1354, 1), (1529, 1), (1824, 1), (2911, 1), (4272, 1), (9617, 1), (10422, 1)], [(7, 1), (8, 1), (20, 5), (22, 1), (25, 1), (31, 1), (45, 2), (50, 3), (53, 6), (74, 1), (85, 1), (95, 1), (98, 1), (108, 1), (117, 1), (131, 1), (186, 2), (193, 1), (232, 1), (337, 1), (373, 1), (428, 1), (560, 2), (697, 1), (897, 1), (979, 1), (1831, 1), (2265, 1), (2383, 1), (3025, 1), (4666, 1), (7295, 1), (7383, 2), (8017, 1), (8518, 1), (9059, 1), (11241, 1), (12079, 1), (12080, 1), (12305, 1), (13623, 1), (13812, 1)], [(8, 1), (18, 1), (24, 1), (32, 1), (37, 1), (50, 1), (53, 1), (109, 1), (310, 1), (381, 1), (432, 1), (516, 1), (1132, 1), (2332, 1), (2953, 1), (4796, 1), (13813, 1)], [(8, 1), (20, 1), (25, 1), (26, 1), (31, 3), (82, 1), (97, 1), (108, 1), (256, 1), (450, 1), (686, 1), (1021, 1), (1229, 1), (2163, 1), (2173, 1), (3000, 1), (5775, 1), (13606, 1), (13814, 1), (13815, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (31, 1), (37, 1), (53, 1), (90, 1), (185, 1), (197, 1), (281, 1), (293, 1), (365, 1), (415, 1), (428, 1), (516, 1), (600, 1), (626, 1), (711, 1), (1041, 1), (1129, 1), (2332, 1), (2977, 1), (3426, 1), (5051, 1), (5710, 1), (11855, 1), (13816, 1), (13817, 1), (13818, 1), (13819, 1)], [(7, 2), (8, 1), (10, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 3), (31, 1), (37, 1), (45, 1), (50, 3), (53, 8), (54, 1), (58, 3), (95, 2), (109, 2), (193, 1), (197, 1), (215, 1), (281, 1), (305, 1), (331, 1), (337, 2), (360, 1), (382, 1), (428, 1), (560, 1), (778, 1), (782, 1), (897, 1), (1239, 1), (1278, 1), (1321, 1), (1379, 1), (1458, 4), (1520, 1), (1528, 1), (1529, 1), (1801, 1), (2428, 2), (5300, 2), (5710, 1), (6771, 1), (6959, 1), (7295, 1), (8094, 1), (9239, 1), (11958, 1), (12320, 1), (13820, 1), (13821, 1), (13822, 1)], [(21, 1), (64, 1), (186, 2), (1178, 1), (9896, 1), (11991, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (32, 1), (45, 1), (53, 2), (95, 1), (173, 1), (215, 1), (2925, 1), (4553, 1), (9272, 1), (13114, 1), (13823, 1)], [(19, 1), (64, 1), (186, 1), (688, 1), (1178, 1), (3786, 1), (11991, 1)], [(8, 1), (25, 1), (53, 2), (74, 1), (117, 1), (232, 1), (373, 1), (2543, 1), (2786, 1), (8017, 1)], [(8, 1), (19, 1), (20, 5), (25, 3), (45, 1), (50, 1), (53, 3), (54, 1), (58, 2), (74, 1), (85, 1), (90, 1), (95, 1), (97, 1), (166, 1), (172, 1), (173, 2), (174, 1), (215, 1), (262, 1), (328, 1), (337, 1), (428, 1), (448, 1), (486, 1), (504, 1), (601, 1), (777, 1), (1328, 1), (1348, 1), (1379, 1), (1557, 1), (1811, 1), (2270, 1), (2343, 1), (2466, 1), (2467, 1), (2640, 1), (3013, 1), (3532, 1), (4165, 1), (4686, 1), (5533, 1), (7295, 1), (8724, 1), (9885, 1), (12177, 1), (13824, 2)], [(8, 1), (50, 1), (53, 2), (54, 1), (74, 1), (90, 1), (173, 1), (301, 1), (505, 1), (2343, 1), (2825, 1), (4165, 1), (10040, 1)], [(8, 1), (19, 1), (20, 7), (22, 1), (31, 2), (32, 1), (45, 3), (50, 1), (53, 4), (58, 1), (64, 1), (72, 1), (77, 1), (85, 1), (90, 3), (108, 1), (109, 2), (289, 1), (293, 1), (300, 1), (331, 1), (347, 1), (361, 1), (381, 1), (387, 1), (428, 2), (515, 1), (1010, 1), (1021, 1), (1163, 1), (1377, 1), (1477, 1), (2070, 1), (2239, 1), (2432, 1), (3146, 1), (3221, 1), (3362, 1), (4369, 1), (4370, 1), (5013, 1), (6593, 1), (7210, 1), (7434, 1), (13825, 1), (13826, 1), (13827, 1), (13828, 1), (13829, 1), (13830, 1), (13831, 1), (13832, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (25, 1), (31, 1), (32, 1), (45, 2), (53, 1), (55, 1), (65, 1), (85, 1), (95, 1), (109, 1), (124, 1), (239, 1), (331, 1), (428, 1), (632, 2), (776, 1), (1244, 1), (2163, 1), (2467, 1), (3064, 1), (4651, 1), (8814, 1), (13825, 1), (13833, 1), (13834, 1), (13835, 1), (13836, 1), (13837, 1), (13838, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (45, 1), (50, 2), (53, 3), (58, 1), (215, 1), (217, 1), (284, 1), (310, 1), (337, 1), (347, 1), (365, 1), (428, 2), (504, 1), (626, 1), (1010, 1), (1458, 1), (1528, 1), (1730, 1), (2332, 2), (2344, 1), (2359, 1), (3460, 1), (3611, 1), (4406, 1), (5063, 1), (6453, 1), (7875, 2), (10708, 1), (12453, 1), (13839, 1), (13840, 1)], [(29, 1), (247, 1), (347, 1), (3000, 1), (4116, 1)], [(8, 2), (20, 1), (36, 1), (64, 1), (117, 1), (232, 1), (233, 1), (893, 1), (1163, 1), (1195, 1), (7295, 1), (8140, 1)], [(22, 1), (64, 1), (85, 1), (724, 1), (1178, 1), (1778, 1), (2479, 1), (6076, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 2), (45, 2), (53, 3), (108, 1), (109, 1), (173, 1), (229, 1), (347, 1), (353, 1), (382, 1), (587, 1), (680, 1), (777, 1), (893, 1), (1416, 1), (2296, 1), (2381, 1), (3305, 1), (3610, 1), (6627, 1), (7295, 1), (13084, 1), (13841, 1)], [(1544, 1), (13842, 1)], [(8, 1), (24, 1), (13843, 1)], [(8, 1), (31, 1), (53, 1), (98, 1), (126, 1), (531, 1), (2344, 1), (3330, 1), (4627, 1), (11560, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (46, 1), (50, 1), (53, 9), (55, 1), (65, 4), (95, 3), (109, 1), (111, 2), (215, 2), (269, 1), (373, 1), (708, 1), (709, 1), (1578, 2), (4073, 1), (4547, 1), (6239, 1), (8001, 1), (8094, 1), (8437, 1), (8815, 1), (10422, 1), (11987, 2), (13844, 1), (13845, 1), (13846, 1), (13847, 1)], [(8, 1), (18, 2), (19, 3), (20, 3), (22, 1), (31, 1), (50, 1), (53, 4), (58, 1), (71, 1), (72, 1), (74, 1), (77, 1), (96, 1), (108, 1), (111, 1), (174, 1), (225, 1), (276, 1), (327, 1), (346, 1), (428, 1), (560, 1), (607, 1), (704, 1), (763, 1), (1069, 1), (1245, 1), (1899, 1), (2622, 1), (2711, 1), (2729, 1), (2734, 1), (3378, 1), (3756, 1), (5257, 1)], [(7, 2), (8, 1), (19, 5), (20, 5), (21, 1), (22, 2), (25, 4), (37, 1), (45, 1), (50, 2), (53, 6), (58, 2), (77, 4), (82, 1), (90, 1), (96, 2), (117, 1), (172, 1), (173, 1), (193, 1), (201, 1), (214, 1), (232, 1), (256, 2), (269, 1), (301, 1), (323, 1), (415, 1), (531, 1), (535, 1), (753, 1), (834, 1), (1308, 1), (1350, 1), (1529, 1), (1578, 1), (2047, 1), (2211, 1), (2253, 1), (2271, 1), (2390, 1), (2515, 1), (2608, 1), (2656, 1), (2785, 1), (3034, 1), (3056, 1), (3333, 1), (3540, 1), (4591, 1), (4972, 1), (6277, 1), (7194, 2), (7477, 1), (8975, 1), (9755, 1), (9896, 1), (11515, 1), (11984, 1), (11987, 1), (12560, 1), (13117, 1), (13848, 1), (13849, 1)], [(8, 1), (20, 1), (23, 1), (25, 2), (53, 1), (193, 1), (269, 2), (286, 1), (452, 2), (608, 1), (922, 1), (1072, 1), (1342, 1), (4161, 1), (10519, 1), (13850, 1)], [(19, 2), (20, 5), (25, 1), (30, 1), (37, 1), (45, 1), (53, 3), (55, 1), (58, 1), (74, 1), (185, 1), (186, 1), (193, 1), (359, 1), (626, 1), (691, 1), (776, 1), (897, 1), (1178, 1), (1198, 1), (1578, 1), (3020, 1), (3183, 1), (4840, 1), (5993, 1), (6487, 1), (7363, 1), (12371, 1), (13694, 1)], [(8, 1), (19, 2), (20, 4), (25, 2), (32, 1), (36, 1), (45, 3), (53, 2), (55, 1), (58, 1), (63, 1), (95, 1), (96, 1), (109, 1), (173, 1), (225, 1), (414, 1), (428, 1), (568, 1), (697, 1), (830, 1), (884, 1), (990, 1), (1122, 1), (1350, 1), (1830, 1), (2259, 1), (2611, 1), (2962, 1), (4740, 1), (5712, 1), (6982, 1), (10020, 1), (11987, 1), (13851, 1)], [(18, 3), (19, 2), (20, 5), (22, 5), (25, 2), (26, 2), (31, 2), (45, 1), (50, 4), (53, 5), (55, 1), (58, 2), (65, 1), (77, 2), (82, 1), (85, 2), (88, 1), (90, 6), (91, 1), (99, 2), (108, 2), (169, 1), (214, 3), (228, 2), (247, 1), (256, 1), (268, 4), (288, 1), (293, 1), (328, 1), (373, 1), (404, 2), (407, 1), (420, 1), (448, 2), (450, 1), (457, 1), (504, 1), (560, 1), (581, 1), (609, 1), (669, 1), (709, 1), (775, 1), (1021, 1), (1165, 1), (1471, 2), (1488, 1), (1522, 1), (1578, 1), (1762, 1), (1931, 1), (2096, 1), (2202, 5), (2780, 1), (2872, 1), (2985, 1), (3053, 1), (3171, 1), (3250, 1), (4062, 1), (4116, 1), (4879, 1), (5597, 1), (6064, 1), (6084, 1), (6089, 1), (6213, 1), (7069, 1), (9455, 1), (9647, 1), (13607, 1), (13852, 1), (13853, 1)], [(8, 1), (19, 3), (20, 6), (25, 3), (50, 1), (53, 5), (71, 1), (77, 1), (90, 1), (95, 1), (193, 1), (197, 1), (269, 1), (420, 1), (504, 1), (560, 1), (742, 1), (897, 1), (904, 1), (1570, 1), (1578, 1), (2016, 1), (2028, 1), (2066, 1), (2077, 1), (3480, 1), (4012, 1), (4013, 1), (4879, 1), (4957, 1), (4989, 1), (5657, 1), (7895, 1), (11245, 1), (13854, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (31, 1), (45, 1), (50, 2), (53, 5), (77, 1), (122, 1), (373, 1), (711, 1), (884, 1), (897, 1), (1792, 1), (1943, 1), (2239, 1), (3537, 1), (3539, 1), (3923, 1), (4282, 1), (6803, 1), (7318, 1), (8094, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (37, 1), (53, 1), (77, 1), (82, 1), (185, 1), (256, 1), (323, 1), (346, 1), (1928, 1), (2035, 1), (2479, 1), (4485, 1), (4870, 1), (6671, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (24, 1), (25, 2), (30, 1), (31, 1), (50, 1), (53, 3), (71, 1), (109, 1), (161, 1), (173, 1), (188, 1), (268, 1), (560, 1), (743, 3), (763, 1), (1379, 1), (1487, 1), (2120, 1), (2259, 1), (2344, 1), (2479, 1), (4282, 1), (4872, 1), (5331, 1), (5409, 1), (7194, 1), (8094, 1), (10069, 1), (11984, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (31, 4), (50, 5), (53, 7), (58, 1), (82, 1), (90, 3), (91, 1), (95, 1), (124, 1), (161, 1), (174, 1), (185, 1), (215, 1), (217, 1), (225, 3), (256, 1), (269, 1), (275, 1), (285, 1), (289, 1), (293, 1), (307, 1), (503, 1), (506, 1), (587, 1), (833, 1), (1471, 1), (1578, 1), (2148, 1), (2253, 1), (3034, 1), (3488, 1), (3780, 1), (4073, 1), (4304, 1), (4465, 1), (4616, 2), (6347, 1), (6415, 1), (6699, 1), (12214, 1), (12325, 1), (12818, 1), (13855, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (50, 3), (53, 3), (56, 1), (82, 1), (85, 2), (109, 2), (185, 1), (203, 1), (450, 1), (553, 1), (560, 1), (704, 1), (775, 1), (3724, 1), (5512, 1), (5657, 1), (6499, 1), (13066, 1), (13856, 1)], [(1544, 1), (13857, 1)], [(8, 1), (24, 1), (13858, 1)], [(8, 1), (20, 2), (22, 1), (50, 2), (53, 3), (85, 1), (91, 1), (265, 1), (1552, 1), (1803, 1), (6610, 1), (13859, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (241, 1), (265, 1), (4637, 1), (6725, 1), (13860, 1)], [(8, 1), (18, 1), (19, 1), (24, 1), (414, 1), (919, 1), (1667, 1), (3421, 1), (4631, 1), (7243, 1), (13420, 1), (13851, 1)], [(8, 1), (18, 3), (20, 5), (31, 1), (50, 3), (53, 6), (77, 2), (97, 1), (108, 2), (109, 1), (122, 1), (246, 1), (406, 1), (415, 1), (418, 1), (428, 1), (448, 1), (704, 1), (707, 1), (981, 1), (1080, 1), (1302, 1), (1328, 1), (1393, 1), (1527, 1), (2196, 1), (2259, 1), (2457, 1), (2656, 1), (2862, 1), (3186, 1), (4526, 1), (4557, 1), (4568, 1), (5495, 1), (11958, 1), (12083, 1), (13861, 1), (13862, 1), (13863, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (45, 1), (53, 2), (58, 1), (75, 1), (77, 1), (109, 2), (186, 1), (193, 1), (215, 2), (323, 1), (1041, 2), (1312, 1), (2656, 1), (2688, 1), (3548, 1), (5013, 1), (8241, 1), (9362, 1), (9744, 1), (11256, 1), (13864, 1), (13865, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 1), (53, 2), (72, 1), (77, 1), (122, 1), (172, 1), (418, 1), (763, 1), (2077, 1), (2718, 1), (9387, 1), (10070, 1), (11235, 1), (13851, 1), (13866, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 7), (22, 2), (31, 1), (53, 6), (55, 1), (85, 1), (90, 1), (91, 1), (95, 1), (185, 1), (206, 1), (214, 1), (229, 1), (269, 2), (293, 1), (301, 1), (309, 1), (337, 1), (392, 1), (415, 2), (418, 1), (428, 1), (504, 2), (560, 1), (743, 1), (827, 1), (830, 1), (922, 1), (1041, 1), (1129, 1), (1239, 1), (1449, 1), (1450, 1), (1702, 1), (1867, 1), (2238, 1), (2479, 2), (2718, 1), (3743, 1), (5013, 1), (5888, 1), (6386, 1), (13867, 1)], [(8, 1), (18, 1), (50, 1), (53, 1), (77, 1), (122, 1), (9455, 1), (13868, 1)], [(8, 1), (19, 2), (20, 5), (30, 1), (31, 1), (45, 1), (50, 1), (53, 5), (58, 2), (65, 1), (90, 1), (95, 1), (108, 1), (201, 1), (281, 1), (301, 1), (428, 1), (452, 1), (516, 1), (763, 1), (1352, 1), (1475, 1), (1578, 1), (1853, 1), (2077, 1), (2734, 2), (2962, 1), (3129, 1), (3480, 1), (3658, 1), (3756, 1), (5542, 1), (6688, 1), (6844, 1), (9288, 1), (13869, 1)], [(8, 1), (20, 6), (22, 1), (25, 2), (37, 2), (50, 1), (53, 5), (55, 1), (63, 1), (71, 1), (77, 2), (85, 1), (90, 1), (193, 1), (203, 1), (215, 1), (285, 1), (373, 1), (407, 1), (1239, 2), (1312, 1), (1354, 1), (2016, 1), (2077, 1), (2222, 1), (2238, 1), (2469, 1), (2734, 1), (3289, 1), (3402, 1), (3480, 1), (3762, 1), (3828, 1), (4013, 1), (4674, 1), (12325, 1), (13870, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (20, 3), (22, 1), (31, 3), (50, 1), (53, 2), (58, 1), (77, 1), (185, 1), (316, 1), (407, 1), (428, 1), (680, 1), (744, 1), (1239, 1), (2371, 1), (2757, 1), (3079, 1), (4059, 1), (4151, 1), (4627, 1), (6110, 1), (6402, 1), (7114, 1), (8984, 1), (11438, 1), (13871, 1), (13872, 1)], [(8, 1), (25, 1), (53, 1), (55, 1), (77, 1), (82, 1), (185, 1), (301, 1), (407, 1), (2029, 1), (2039, 1), (3582, 1), (7895, 1), (11211, 1), (11634, 1), (13591, 1)], [(8, 1), (18, 2), (20, 6), (25, 2), (31, 1), (37, 1), (53, 2), (58, 1), (65, 1), (77, 1), (90, 1), (91, 1), (95, 1), (99, 1), (111, 1), (203, 1), (316, 1), (373, 1), (392, 1), (410, 1), (420, 1), (976, 1), (2077, 1), (2467, 1), (2479, 1), (2615, 1), (2734, 1), (3034, 1), (3296, 1), (3685, 1), (4251, 1), (5941, 1), (6844, 1), (10584, 1), (13611, 1), (13795, 1), (13873, 1), (13874, 1), (13875, 1), (13876, 1), (13877, 1), (13878, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (53, 1), (58, 2), (77, 2), (95, 1), (568, 1), (1450, 1), (1458, 1), (1909, 1), (2627, 1), (3043, 1), (4908, 1), (5833, 1), (13084, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 1), (30, 2), (31, 2), (32, 1), (37, 1), (50, 2), (53, 2), (58, 1), (71, 2), (95, 1), (111, 1), (195, 1), (203, 1), (206, 1), (215, 2), (240, 1), (269, 1), (276, 1), (288, 1), (404, 1), (410, 1), (420, 1), (456, 1), (531, 1), (744, 1), (830, 1), (913, 1), (936, 1), (1403, 1), (1760, 1), (2018, 1), (2077, 1), (3658, 1), (4300, 1), (6252, 1), (6394, 1), (7861, 1), (9462, 1), (9588, 1), (10070, 1), (13875, 1), (13879, 1), (13880, 1), (13881, 1), (13882, 1)], [(8, 1), (19, 2), (20, 2), (50, 1), (53, 2), (55, 1), (71, 1), (77, 1), (269, 1), (286, 1), (373, 1), (414, 1), (654, 1), (743, 1), (763, 1), (1129, 1), (1239, 1), (1777, 1), (2718, 1), (3025, 1), (3416, 1), (3726, 1), (5416, 1), (8257, 1), (13883, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (71, 1), (82, 1), (190, 1), (201, 1), (206, 1), (214, 1), (215, 1), (226, 1), (407, 1), (711, 1), (852, 1), (861, 1), (2849, 1), (3726, 1), (5430, 1), (5952, 1), (7757, 1), (8900, 1), (8966, 1), (12632, 1), (13884, 1), (13885, 1), (13886, 1)], [(1544, 1), (13887, 1)], [(8, 1), (117, 1), (232, 1), (2851, 1), (7295, 1)], [(8, 1), (53, 1), (95, 1), (109, 1), (117, 1), (217, 1), (232, 1), (347, 1), (448, 1), (461, 1), (709, 1), (1245, 1), (7295, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (50, 2), (53, 3), (54, 1), (122, 1), (293, 1), (419, 1), (580, 1), (898, 1), (913, 1), (1248, 1), (2245, 1), (3357, 1), (6129, 1), (9848, 1), (10148, 1), (13465, 1), (13888, 1)], [(8, 1), (19, 1), (20, 5), (22, 2), (25, 4), (31, 1), (32, 1), (37, 1), (50, 2), (53, 3), (54, 1), (55, 1), (58, 1), (65, 1), (84, 1), (90, 1), (174, 1), (193, 2), (215, 1), (269, 1), (281, 1), (331, 1), (337, 1), (365, 1), (419, 2), (462, 1), (600, 1), (607, 1), (793, 1), (828, 1), (903, 1), (1526, 1), (1557, 1), (2178, 1), (2361, 2), (2884, 1), (3217, 1), (3295, 1), (3468, 1), (3553, 1), (3670, 1), (4250, 1), (5368, 1), (5409, 1), (7497, 1), (11641, 1), (13084, 1), (13383, 1), (13760, 1), (13889, 1), (13890, 1), (13891, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (31, 2), (50, 2), (53, 3), (55, 1), (58, 1), (65, 3), (111, 2), (185, 1), (188, 1), (190, 1), (193, 1), (215, 1), (256, 1), (281, 1), (286, 1), (334, 1), (340, 1), (404, 1), (414, 1), (419, 1), (504, 1), (525, 1), (531, 1), (711, 1), (1130, 1), (1304, 1), (1692, 1), (2261, 1), (2318, 1), (2361, 1), (2543, 1), (2872, 1), (2914, 1), (3633, 1), (4272, 1), (5888, 1), (6274, 1), (6791, 1), (8709, 1), (8813, 1), (9498, 1), (12620, 1), (12916, 1), (13535, 1), (13892, 1), (13893, 1), (13894, 1), (13895, 1)], [(8, 1), (22, 2), (25, 1), (31, 1), (50, 1), (53, 2), (65, 1), (84, 1), (117, 1), (124, 1), (186, 1), (232, 1), (256, 1), (269, 1), (310, 1), (414, 1), (419, 1), (426, 1), (697, 1), (726, 1), (777, 1), (1042, 1), (1057, 1), (1248, 1), (1693, 1), (1698, 1), (2531, 1), (3146, 1), (3542, 1), (3726, 1), (6129, 1), (6315, 1), (6332, 1), (9833, 1), (11415, 1), (13896, 1), (13897, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 2), (45, 2), (53, 4), (58, 1), (82, 1), (95, 1), (108, 3), (173, 1), (428, 1), (697, 1), (702, 1), (792, 1), (897, 1), (1224, 1), (1416, 1), (1458, 1), (1462, 1), (1997, 1), (2348, 1), (2926, 1), (3305, 1), (3324, 1), (4729, 1), (4826, 1), (4908, 1), (7255, 1), (7300, 1), (7400, 1), (8148, 1), (10054, 1), (13898, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 3), (20, 9), (22, 3), (25, 1), (26, 1), (30, 2), (31, 2), (32, 1), (37, 1), (45, 3), (50, 2), (53, 3), (54, 2), (58, 1), (62, 1), (71, 1), (82, 1), (90, 4), (95, 1), (111, 2), (185, 1), (187, 1), (215, 1), (269, 1), (285, 1), (293, 1), (347, 1), (415, 1), (443, 1), (448, 1), (459, 1), (504, 1), (709, 1), (893, 2), (903, 1), (1102, 1), (1130, 1), (1403, 1), (1449, 1), (1509, 1), (1668, 1), (1824, 2), (1904, 1), (2047, 1), (2117, 1), (2730, 1), (2868, 1), (3633, 1), (3804, 1), (4322, 1), (5960, 1), (6315, 1), (6441, 1), (6704, 1), (7334, 1), (7506, 1), (7874, 1), (9387, 1), (10765, 1), (13899, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 5), (65, 1), (85, 1), (90, 1), (99, 1), (108, 1), (109, 1), (117, 1), (172, 1), (214, 1), (232, 1), (236, 1), (285, 1), (338, 1), (414, 1), (459, 1), (548, 1), (827, 1), (1354, 1), (1627, 1), (1995, 1), (2064, 1), (2272, 1), (2501, 1), (2543, 1), (3287, 1), (3378, 1), (3686, 1), (3707, 1), (3709, 1), (3985, 1), (4473, 1), (5482, 1), (6129, 1), (9916, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (53, 2), (71, 1), (77, 1), (82, 1), (301, 1), (587, 1), (709, 1), (834, 1), (1392, 1), (2552, 1), (12980, 1), (13084, 1), (13900, 1)], [(7, 2), (8, 1), (19, 3), (20, 6), (21, 1), (25, 4), (32, 1), (50, 1), (53, 11), (55, 1), (92, 1), (95, 2), (97, 1), (117, 1), (182, 1), (232, 1), (269, 1), (306, 1), (329, 1), (415, 1), (418, 1), (488, 1), (516, 1), (623, 1), (688, 1), (706, 1), (709, 1), (710, 1), (903, 1), (1041, 1), (1224, 1), (1529, 1), (1698, 1), (1815, 1), (2283, 1), (2401, 1), (2965, 1), (4282, 1), (6165, 1), (7151, 1), (7375, 1), (9524, 1), (9642, 1), (13145, 1), (13901, 1), (13902, 1), (13903, 1), (13904, 1)], [(7742, 1)], [(8, 1), (71, 1), (126, 1), (215, 1), (226, 1), (240, 1), (830, 1), (884, 1), (2233, 1), (7742, 1), (9653, 1)], [(7, 1), (8, 1), (10, 1), (19, 2), (20, 3), (22, 2), (24, 1), (25, 2), (31, 2), (53, 8), (55, 1), (58, 3), (65, 1), (75, 1), (77, 2), (90, 2), (95, 1), (97, 1), (99, 1), (109, 2), (111, 1), (161, 1), (193, 1), (215, 1), (225, 1), (260, 1), (281, 1), (293, 1), (373, 1), (407, 1), (415, 1), (420, 1), (623, 1), (632, 1), (709, 1), (782, 1), (833, 1), (902, 1), (983, 1), (1041, 2), (1071, 1), (1072, 1), (1122, 1), (1596, 1), (1615, 1), (1867, 1), (2140, 1), (2366, 1), (2552, 1), (3264, 1), (5072, 1), (6271, 1), (6601, 1), (7382, 1), (7884, 1), (8537, 1), (8923, 1), (9179, 1), (13188, 1), (13344, 1), (13905, 1), (13906, 1), (13907, 1), (13908, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (25, 1), (31, 1), (53, 2), (55, 1), (77, 3), (185, 1), (193, 1), (276, 1), (301, 1), (348, 1), (392, 1), (415, 1), (709, 1), (796, 1), (1041, 2), (1239, 1), (1529, 1), (2290, 1), (2457, 1), (2862, 2), (3121, 1), (3436, 1), (3731, 1), (5749, 1), (9779, 1), (13909, 1), (13910, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (26, 1), (32, 1), (50, 3), (53, 9), (55, 1), (77, 3), (90, 1), (95, 1), (111, 1), (193, 2), (293, 1), (353, 2), (414, 1), (415, 1), (623, 1), (632, 1), (639, 1), (827, 1), (1041, 1), (1122, 1), (1287, 1), (1498, 1), (1526, 1), (1596, 1), (2340, 1), (2344, 1), (2457, 1), (2543, 1), (3017, 1), (3105, 1), (3161, 1), (3264, 1), (3523, 1), (4089, 1), (4638, 1), (4851, 1), (4941, 1), (6560, 1), (8241, 1), (9779, 1), (13188, 1), (13911, 1), (13912, 1), (13913, 1)], [(8, 1), (20, 5), (32, 1), (37, 1), (45, 1), (46, 1), (54, 1), (55, 1), (65, 1), (71, 1), (166, 1), (193, 1), (202, 1), (215, 1), (256, 1), (293, 1), (414, 1), (531, 1), (869, 1), (1348, 1), (1572, 1), (1702, 1), (2064, 1), (2077, 1), (2178, 1), (3830, 1), (4209, 1), (6315, 1), (7295, 1), (12102, 1), (12249, 1), (12332, 1), (13914, 1), (13915, 1), (13916, 1)], [(8, 1), (19, 1), (20, 2), (30, 1), (31, 1), (45, 1), (50, 1), (53, 3), (54, 1), (90, 1), (108, 1), (173, 1), (531, 1), (1342, 1), (1638, 1), (2153, 1), (5978, 1), (6048, 1), (6560, 1), (6690, 1), (7175, 1), (7286, 1), (7856, 1), (8307, 1), (9255, 1), (10718, 1)], [(8, 1), (20, 2), (31, 1), (37, 1), (50, 1), (54, 1), (185, 1), (336, 1), (353, 1), (1627, 1), (3121, 1), (3237, 1), (5913, 1), (7295, 1), (13917, 1), (13918, 1), (13919, 1)], [(8, 1), (18, 2), (19, 1), (22, 1), (45, 1), (50, 1), (53, 1), (54, 2), (95, 1), (173, 1), (215, 1), (387, 1), (512, 1), (1012, 1), (2983, 1), (7295, 1), (12279, 1), (13920, 1), (13921, 1), (13922, 1)], [(18, 1), (20, 2), (23, 1), (64, 1), (126, 1), (247, 1), (1799, 1), (2270, 1), (13783, 2)], [(20, 1), (247, 1), (2705, 1), (8140, 1)], [(20, 1), (25, 1), (45, 1), (99, 1), (109, 1), (269, 1), (287, 1), (506, 1), (703, 1), (1178, 1), (3121, 1), (4251, 1)], [(7, 1), (8, 1), (10, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 2), (26, 1), (32, 1), (46, 1), (50, 5), (53, 9), (58, 1), (71, 1), (82, 1), (90, 2), (99, 1), (108, 1), (169, 1), (172, 1), (193, 1), (202, 1), (206, 2), (215, 1), (307, 1), (323, 1), (325, 1), (334, 1), (387, 1), (448, 1), (756, 1), (782, 1), (885, 1), (897, 1), (940, 1), (1102, 1), (1253, 1), (1302, 1), (1488, 1), (1596, 1), (1597, 1), (1685, 1), (1824, 1), (1909, 1), (2073, 1), (2168, 1), (3115, 1), (4178, 1), (5642, 1), (5828, 1), (5851, 1), (6436, 1), (6885, 1), (7154, 1), (7295, 1), (8172, 1), (8879, 1), (9493, 1), (13279, 1), (13923, 1), (13924, 1), (13925, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 2), (45, 1), (50, 1), (53, 1), (54, 1), (65, 1), (90, 2), (186, 1), (193, 1), (215, 1), (418, 1), (459, 1), (504, 1), (537, 1), (703, 1), (706, 1), (2296, 1), (2646, 1), (2852, 1), (3283, 1), (4163, 1), (6213, 1), (6883, 1), (7047, 1), (7295, 1), (7315, 2), (13783, 1), (13897, 1), (13926, 1), (13927, 1)], [(8, 1), (53, 1), (54, 1), (90, 1), (95, 1), (117, 1), (232, 1), (414, 1), (1224, 1), (1308, 1), (3043, 1), (4058, 1), (7295, 1), (13928, 1)], [(8, 1), (20, 3), (45, 1), (50, 1), (53, 1), (55, 1), (229, 1), (414, 2), (450, 1), (893, 1), (1041, 1), (1097, 1), (1122, 1), (1690, 2), (2660, 1), (13598, 1), (13929, 1), (13930, 1), (13931, 1), (13932, 1), (13933, 1), (13934, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (24, 1), (31, 1), (50, 2), (53, 3), (117, 1), (305, 1), (313, 1), (388, 1), (450, 2), (459, 1), (1520, 2), (2323, 1), (2467, 1), (3756, 1), (6165, 1), (6364, 1), (6509, 1), (6668, 1), (11358, 2), (13935, 1), (13936, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (20, 2), (25, 1), (31, 1), (34, 1), (50, 3), (53, 4), (85, 1), (91, 2), (95, 1), (99, 2), (166, 1), (215, 2), (307, 1), (414, 1), (450, 1), (632, 1), (692, 1), (706, 1), (711, 1), (777, 2), (1574, 1), (1731, 1), (2030, 1), (2291, 1), (2401, 1), (2693, 1), (4652, 1), (5793, 1), (6412, 1), (8941, 1), (9112, 1), (12193, 1), (13937, 1), (13938, 1)], [(8, 1), (37, 1), (50, 1), (53, 1), (106, 1), (256, 1), (675, 1), (1597, 1), (4151, 1), (5709, 1), (6047, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (37, 1), (50, 2), (53, 1), (85, 1), (193, 1), (487, 1), (531, 1), (711, 1), (744, 2), (1347, 1), (1596, 1), (2027, 1), (5999, 1), (7375, 1), (8923, 1), (9395, 1), (9466, 1), (13939, 1), (13940, 1), (13941, 1), (13942, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 1), (24, 1), (31, 1), (53, 2), (71, 1), (95, 1), (108, 1), (353, 1), (414, 1), (454, 1), (711, 1), (830, 1), (1797, 1), (1820, 1), (2812, 1), (3082, 1), (3810, 1), (8079, 1), (13943, 1), (13944, 1)], [(7, 1), (8, 1), (18, 7), (19, 9), (20, 23), (22, 5), (25, 9), (31, 3), (37, 4), (50, 2), (53, 12), (55, 2), (58, 1), (65, 4), (71, 6), (77, 5), (90, 2), (91, 2), (95, 1), (99, 2), (108, 1), (111, 4), (117, 2), (124, 1), (169, 1), (182, 1), (186, 1), (190, 2), (193, 2), (195, 1), (197, 1), (214, 3), (232, 2), (237, 1), (268, 1), (269, 1), (273, 1), (285, 1), (289, 1), (310, 3), (328, 1), (355, 1), (365, 2), (387, 1), (407, 2), (415, 2), (418, 1), (420, 2), (441, 2), (450, 1), (459, 1), (461, 1), (516, 2), (601, 1), (645, 1), (709, 1), (744, 1), (753, 2), (777, 1), (827, 1), (833, 1), (893, 3), (922, 1), (990, 1), (1097, 4), (1102, 4), (1116, 1), (1122, 1), (1129, 1), (1139, 1), (1172, 1), (1224, 1), (1255, 1), (1324, 1), (1342, 1), (1487, 1), (1529, 1), (1556, 1), (1685, 1), (1702, 1), (1820, 1), (1824, 1), (1966, 1), (1995, 1), (2012, 2), (2064, 1), (2086, 1), (2117, 1), (2179, 1), (2187, 1), (2245, 1), (2332, 1), (2469, 1), (2552, 1), (2766, 3), (2855, 1), (2858, 1), (2891, 3), (2985, 1), (3123, 1), (3329, 1), (3400, 1), (3476, 1), (3537, 1), (3634, 1), (3974, 1), (3982, 1), (4317, 1), (4442, 1), (4890, 1), (5605, 1), (6112, 1), (6213, 1), (6264, 3), (6402, 1), (6893, 1), (6997, 1), (7129, 1), (7382, 1), (7396, 1), (7532, 1), (7887, 1), (7922, 1), (8008, 1), (9152, 1), (9468, 1), (9576, 1), (10118, 1), (11047, 1), (11098, 1), (11322, 1), (11622, 1), (11977, 1), (12128, 1), (12966, 1), (13524, 1), (13845, 1), (13945, 1), (13946, 1), (13947, 1), (13948, 1), (13949, 1), (13950, 1), (13951, 1), (13952, 1), (13953, 1), (13954, 1), (13955, 1), (13956, 1), (13957, 1), (13958, 1)], [(8, 1), (20, 2), (25, 1), (50, 2), (53, 3), (65, 1), (90, 1), (99, 1), (167, 2), (172, 1), (182, 1), (324, 1), (410, 1), (812, 1), (869, 1), (897, 1), (1668, 1), (3843, 1), (5343, 1), (13646, 1), (13959, 1), (13960, 1), (13961, 1)], [(8, 1), (20, 3), (30, 1), (45, 1), (50, 2), (53, 4), (54, 1), (82, 1), (90, 1), (124, 1), (215, 1), (229, 1), (268, 1), (293, 1), (301, 1), (414, 1), (833, 1), (1097, 1), (1732, 1), (1764, 1), (1824, 1), (2886, 1), (5232, 2), (5625, 1), (7295, 1), (13782, 1), (13933, 1), (13962, 1)], [(20, 1), (51, 1), (64, 1), (90, 1), (117, 1), (232, 1), (946, 1), (1139, 1), (1906, 1), (1938, 1), (3786, 1), (13963, 1)], [(18, 1), (19, 1), (20, 6), (22, 2), (25, 1), (45, 4), (53, 2), (55, 1), (64, 1), (99, 1), (108, 1), (124, 1), (173, 1), (185, 1), (193, 2), (215, 2), (406, 1), (428, 1), (504, 2), (568, 1), (697, 1), (752, 1), (922, 1), (1080, 1), (1178, 1), (1342, 1), (1379, 1), (1702, 1), (1766, 1), (1938, 3), (2772, 1), (2852, 1), (2925, 1), (3786, 1), (5142, 1), (7718, 1), (9424, 1), (9430, 1), (12319, 1), (13964, 1)], [(8, 1), (18, 3), (19, 3), (20, 19), (22, 3), (24, 1), (25, 3), (30, 2), (31, 2), (45, 10), (50, 3), (51, 4), (53, 4), (54, 1), (55, 3), (65, 2), (72, 1), (82, 2), (97, 2), (98, 1), (108, 1), (109, 2), (115, 1), (117, 1), (161, 1), (173, 2), (185, 2), (193, 3), (215, 2), (217, 1), (228, 1), (232, 1), (240, 1), (282, 1), (293, 1), (307, 1), (328, 1), (337, 1), (353, 1), (354, 1), (407, 1), (414, 2), (415, 1), (418, 1), (420, 1), (426, 3), (428, 1), (452, 1), (454, 1), (459, 1), (516, 2), (626, 1), (632, 1), (706, 1), (711, 1), (777, 1), (792, 1), (842, 1), (864, 1), (893, 1), (922, 1), (1012, 1), (1196, 1), (1221, 1), (1342, 1), (1354, 1), (1498, 1), (1702, 1), (1831, 1), (1901, 1), (2155, 1), (2234, 1), (2361, 1), (2401, 1), (2479, 1), (2515, 1), (2543, 3), (2686, 1), (2734, 1), (2772, 1), (3048, 1), (3501, 1), (3862, 1), (4286, 1), (4482, 1), (4573, 1), (4578, 1), (4605, 1), (4609, 1), (4666, 1), (4854, 1), (5377, 2), (6399, 1), (7134, 1), (7295, 1), (8120, 1), (8553, 1), (9059, 1), (9289, 1), (9803, 1), (12320, 1), (13926, 1), (13963, 1), (13965, 1), (13966, 1), (13967, 1), (13968, 1), (13969, 1), (13970, 1), (13971, 1), (13972, 1)], [(18, 1), (19, 1), (20, 2), (45, 1), (64, 2), (77, 1), (99, 1), (117, 1), (185, 1), (233, 1), (342, 1), (382, 1), (759, 1), (1163, 1), (1714, 1), (1906, 1), (1907, 1), (1964, 2), (5133, 1), (7043, 1), (7295, 1), (13783, 1), (13973, 1), (13974, 1), (13975, 1)], [(8, 1), (20, 1), (22, 1), (58, 1), (117, 2), (185, 1), (217, 1), (232, 1), (278, 2), (289, 1), (425, 1), (1938, 1), (2705, 1), (3069, 1), (13274, 1), (13783, 1)], [(18, 1), (19, 1), (20, 1), (23, 1), (65, 1), (71, 2), (90, 1), (95, 1), (117, 1), (203, 1), (273, 1), (759, 1), (1714, 1), (2029, 1), (2178, 1), (3613, 1), (13783, 1), (13976, 1)], [(20, 1), (25, 1), (32, 1), (34, 1), (53, 1), (58, 1), (99, 1), (117, 1), (214, 1), (351, 1), (632, 1), (711, 1), (759, 1), (777, 1), (834, 1), (1097, 1), (1589, 1), (1714, 1), (1907, 1), (7221, 1), (13976, 1)], [(18, 1), (186, 1), (214, 1), (247, 1), (596, 1), (711, 1), (8551, 1), (13977, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (25, 2), (31, 1), (117, 2), (203, 1), (214, 1), (256, 1), (287, 1), (711, 2), (904, 1), (1906, 1), (2145, 1), (2201, 1), (2453, 1), (2515, 1), (2539, 1), (2906, 2), (2912, 1), (13978, 1), (13979, 1)], [(8, 1), (20, 1), (23, 1), (229, 1), (504, 1), (506, 1), (581, 1), (809, 1), (824, 1), (1580, 1), (6594, 1)], [(8, 1), (20, 2), (25, 1), (73, 1), (1580, 1), (1938, 1), (13980, 1), (13981, 1)], [(19, 1), (20, 2), (22, 1), (25, 1), (32, 1), (45, 1), (64, 1), (88, 1), (109, 1), (117, 1), (185, 1), (269, 1), (287, 1), (325, 1), (897, 1), (1163, 1), (1178, 1), (2906, 1), (5115, 1), (5737, 1), (7400, 1), (13926, 1)], [(8, 1), (18, 2), (19, 2), (20, 8), (22, 1), (25, 2), (31, 1), (37, 1), (45, 3), (50, 1), (51, 1), (53, 7), (54, 1), (55, 2), (75, 2), (90, 1), (173, 1), (215, 1), (233, 1), (239, 1), (269, 1), (293, 1), (365, 1), (415, 1), (632, 1), (686, 1), (777, 2), (824, 1), (897, 1), (1097, 1), (1348, 1), (1529, 1), (1615, 1), (1693, 1), (1694, 1), (1931, 1), (2064, 1), (2178, 1), (2365, 1), (2366, 1), (2911, 1), (3146, 1), (3718, 1), (4222, 1), (4575, 1), (4580, 1), (5745, 1), (6528, 1), (6592, 1), (6841, 1), (7134, 1), (7273, 1), (7295, 1), (7400, 1), (11989, 1), (12189, 1), (13963, 1), (13982, 1)], [(8, 1), (19, 1), (23, 1), (64, 1), (65, 1), (99, 1), (117, 1), (203, 1), (226, 1), (273, 1), (392, 1), (1433, 1), (2234, 1), (2997, 1), (4562, 1), (5198, 1), (13983, 1), (13984, 1), (13985, 2), (13986, 1)], [(809, 1), (1714, 1), (2705, 1)], [(117, 1), (247, 1), (2886, 1), (2997, 1), (3616, 1), (10835, 1), (13985, 1), (13987, 1), (13988, 1)], [(7, 1), (19, 1), (20, 1), (99, 1), (186, 1), (247, 1), (256, 1), (273, 1), (324, 1), (581, 1), (2997, 1), (7295, 1), (9494, 1), (9497, 1), (10835, 1), (13985, 1), (13989, 1), (13990, 1), (13991, 1)], [(99, 1), (203, 1), (1178, 1), (2234, 1), (2997, 1), (9447, 1), (13985, 1)], [(18, 1), (20, 1), (53, 2), (55, 1), (64, 1), (98, 1), (226, 1), (247, 1), (414, 1), (1163, 1), (1906, 2), (2025, 1), (3594, 1), (5130, 1), (6766, 1), (7295, 1), (8195, 1), (13992, 1)], [(8, 1), (20, 2), (90, 1), (99, 2), (117, 2), (261, 1), (324, 1), (420, 1), (697, 1), (759, 1), (1431, 1), (2149, 1), (5129, 1), (6492, 1), (9720, 1), (13993, 1)], [(19, 1), (20, 1), (117, 1), (232, 1), (268, 1), (658, 1), (697, 1), (1178, 1), (1938, 1), (4669, 1), (13994, 1)], [(64, 1), (1714, 1), (2010, 1), (13985, 1)], [(8, 1), (19, 2), (30, 1), (287, 1), (1163, 1), (1574, 1), (1865, 1), (5115, 1), (13056, 1), (13995, 1)], [(20, 2), (22, 1), (64, 1), (66, 1), (287, 2), (414, 2), (1165, 1), (1938, 1)], [(20, 2), (64, 1), (65, 1), (1180, 1), (2013, 1), (2771, 1), (13984, 1), (13996, 1), (13997, 1)], [(64, 1), (1166, 1), (1178, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (58, 1), (64, 1), (90, 1), (117, 1), (815, 1), (1163, 1), (1569, 1), (2906, 1), (3469, 1), (7295, 1), (13963, 1), (13998, 1), (13999, 1)], [(7, 1), (19, 1), (20, 4), (23, 1), (25, 1), (37, 1), (64, 1), (65, 1), (77, 1), (99, 2), (117, 1), (247, 1), (623, 1), (1097, 1), (1180, 1), (1336, 1), (1824, 1), (2997, 1), (3540, 1), (4624, 1), (10835, 1), (13984, 1), (13985, 3), (13987, 1), (14000, 1), (14001, 1), (14002, 1), (14003, 1), (14004, 1), (14005, 1)], [(18, 1), (19, 1), (20, 1), (25, 1), (99, 2), (117, 2), (186, 1), (744, 1), (809, 1), (946, 1), (1347, 1), (2515, 1), (2997, 1), (5198, 1), (5643, 1), (6955, 1), (14001, 1), (14006, 1)], [(8, 1), (20, 2), (23, 1), (30, 1), (64, 2), (90, 1), (117, 1), (172, 1), (759, 1), (1163, 1), (1906, 1), (2925, 1), (3291, 1), (6681, 1), (7295, 1), (14007, 1)], [(19, 1), (66, 1), (117, 1), (2906, 1), (6291, 1), (14008, 1)], [(8, 1), (53, 1), (124, 1), (416, 1), (1752, 1), (6947, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (23, 1), (25, 1), (64, 1), (65, 1), (71, 1), (77, 2), (108, 1), (117, 2), (256, 1), (289, 1), (293, 1), (295, 1), (581, 1), (759, 2), (1180, 1), (1907, 1), (2159, 1), (4922, 1), (9692, 1), (9807, 1), (10835, 1), (13984, 1), (13985, 3), (14000, 2), (14004, 1), (14009, 1), (14010, 1)], [(8, 1), (20, 2), (22, 2), (31, 1), (37, 1), (71, 1), (77, 2), (82, 1), (99, 3), (108, 1), (117, 1), (124, 1), (240, 1), (256, 1), (504, 1), (1097, 1), (2149, 1), (2705, 1), (2771, 1), (4523, 2), (6047, 2), (10835, 2), (14010, 1), (14011, 1), (14012, 1), (14013, 1), (14014, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (71, 1), (95, 1), (109, 1), (117, 1), (226, 1), (346, 1), (559, 1), (815, 1), (1170, 1), (1731, 1), (13917, 1), (13985, 1), (14015, 1), (14016, 1), (14017, 1), (14018, 1)], [(8, 1), (20, 1), (23, 1), (71, 1), (85, 1), (117, 3), (232, 1), (273, 1), (324, 1), (759, 1), (3613, 1), (9047, 1), (10835, 1), (14019, 1), (14020, 1), (14021, 1)], [(19, 1), (82, 1), (95, 1), (215, 1), (269, 1), (970, 1), (1714, 1), (2909, 1), (6047, 1), (7250, 1), (13985, 1), (14022, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (22, 1), (95, 2), (99, 1), (225, 1), (269, 1), (331, 1), (414, 1), (448, 1), (970, 1), (2016, 1), (3056, 1), (6941, 1), (10835, 1), (13985, 2), (13989, 1)], [(19, 3), (20, 3), (22, 2), (23, 1), (50, 1), (66, 1), (77, 1), (82, 1), (99, 1), (108, 1), (117, 2), (225, 2), (256, 2), (275, 1), (293, 1), (428, 1), (448, 1), (581, 1), (689, 1), (708, 1), (759, 1), (985, 1), (1097, 1), (1430, 1), (1615, 1), (2771, 1), (2912, 1), (3034, 1), (3121, 2), (6819, 2), (9047, 1), (9494, 1), (10835, 7), (13985, 2), (13987, 1), (14011, 1), (14019, 2), (14023, 1), (14024, 1), (14025, 1), (14026, 1), (14027, 1), (14028, 1), (14029, 1), (14030, 1), (14031, 1)], [(20, 1), (51, 1), (64, 1), (1178, 1), (2013, 1), (3181, 1), (13963, 1)], [(20, 1), (22, 1), (64, 1), (66, 1), (90, 1), (117, 1), (232, 1), (287, 1), (414, 1), (2925, 1), (5532, 1), (7295, 1)], [(18, 2), (19, 2), (20, 8), (22, 5), (25, 5), (31, 1), (37, 1), (53, 1), (64, 1), (65, 1), (66, 1), (77, 2), (98, 1), (99, 2), (108, 2), (117, 8), (124, 1), (190, 1), (193, 1), (215, 1), (263, 2), (268, 2), (269, 1), (287, 1), (365, 1), (374, 1), (414, 2), (420, 1), (581, 1), (744, 1), (759, 2), (809, 3), (1057, 1), (1129, 1), (1165, 1), (1615, 1), (1649, 1), (1685, 1), (1799, 1), (1907, 1), (2515, 1), (2771, 2), (2837, 1), (2906, 2), (2997, 2), (3633, 1), (4941, 1), (5129, 1), (5198, 2), (5640, 1), (5788, 2), (6601, 1), (7295, 1), (9494, 2), (9613, 1), (10835, 2), (13990, 1), (14001, 1), (14032, 4), (14033, 2), (14034, 1), (14035, 1), (14036, 1), (14037, 1), (14038, 1)], [(19, 1), (20, 3), (22, 1), (23, 2), (25, 1), (50, 1), (53, 2), (64, 1), (66, 1), (117, 1), (242, 1), (293, 1), (410, 1), (691, 1), (922, 1), (1324, 1), (1580, 2), (1628, 1), (2816, 1), (2852, 1), (2854, 1), (4698, 1), (5168, 1), (13963, 1)], [(20, 4), (21, 1), (25, 1), (45, 1), (53, 1), (185, 1), (777, 1), (824, 1), (1354, 1), (2479, 1), (2541, 1), (2816, 1), (2925, 1), (3024, 1), (4981, 1), (6042, 1), (13963, 1), (14039, 1)], [(64, 1), (65, 1), (247, 1), (1180, 1), (13984, 1), (14040, 1)], [(21, 1), (22, 1), (25, 1), (40, 1), (66, 1), (99, 1), (117, 1), (186, 1), (215, 1), (324, 1), (581, 1), (1057, 1), (2771, 1), (2997, 1), (5161, 1), (8037, 1), (9494, 1), (9497, 1), (10835, 1), (14032, 1), (14041, 1), (14042, 1), (14043, 1)], [(20, 5), (22, 1), (25, 1), (45, 1), (53, 1), (64, 2), (66, 1), (99, 1), (193, 1), (233, 1), (305, 1), (307, 1), (328, 1), (346, 1), (506, 1), (777, 1), (800, 1), (1139, 1), (1163, 1), (1597, 1), (1731, 1), (1938, 1), (2031, 1), (2296, 1), (2852, 1), (3487, 1), (7295, 1), (7315, 1), (11519, 1)], [(8, 1), (20, 1), (31, 1), (45, 1), (53, 1), (64, 1), (117, 1), (233, 1), (281, 1), (777, 1), (1163, 1), (1458, 1), (2823, 1), (2849, 1), (2867, 1), (5378, 1), (7134, 1), (13963, 1), (14044, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (32, 1), (50, 1), (53, 1), (64, 2), (185, 1), (233, 1), (287, 1), (292, 1), (626, 1), (1163, 1), (1377, 1), (2013, 1), (2271, 1), (2669, 1), (4815, 1), (7295, 1), (13783, 1), (13917, 1)], [(20, 2), (51, 1), (53, 1), (99, 1), (214, 1), (288, 1), (359, 1), (763, 1), (946, 1), (1938, 1), (2184, 1)], [(8, 1), (20, 1), (51, 1), (53, 1), (64, 1), (117, 1), (233, 1), (596, 1), (1163, 1), (1685, 1), (2401, 1), (10835, 1), (13985, 1), (14031, 1), (14045, 1), (14046, 1)], [(64, 1), (247, 1), (14047, 1)], [(20, 1), (51, 1), (99, 1), (214, 1), (946, 1), (1347, 1), (1938, 1)], [(8, 1), (20, 1), (173, 1), (273, 1), (1163, 1), (1563, 1), (2417, 1), (13410, 1), (14032, 1), (14048, 1), (14049, 1)], [(18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (56, 1), (64, 1), (65, 1), (95, 1), (99, 1), (117, 1), (172, 1), (185, 1), (269, 1), (281, 1), (288, 1), (331, 1), (609, 1), (759, 1), (828, 1), (946, 1), (1824, 1), (1907, 1), (1938, 2), (2320, 1), (3034, 1), (5524, 1), (13783, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 2), (90, 1), (98, 1), (193, 1), (293, 1), (903, 1), (2265, 1), (2344, 1), (4145, 1), (7043, 1), (13781, 1), (13973, 1), (14050, 1), (14051, 1)], [(20, 1), (64, 1), (99, 1), (459, 1), (946, 1), (1323, 1), (1938, 1), (5339, 1)], [(20, 2), (31, 1), (65, 1), (66, 1), (117, 1), (373, 1), (1563, 1), (2837, 1), (10835, 2), (12979, 1), (14052, 1), (14053, 1), (14054, 1), (14055, 1)], [(18, 1), (31, 1), (64, 1), (65, 1), (247, 1), (373, 1), (14054, 1), (14056, 1)], [(8, 1), (20, 1), (52, 1), (117, 1), (232, 1), (278, 1), (658, 1)], [(19, 1), (20, 1), (23, 1), (31, 1), (96, 1), (99, 1), (301, 1), (445, 1), (459, 1), (1178, 1), (1938, 1), (2853, 1), (3034, 1), (5339, 1)], [(23, 1), (64, 1), (117, 1), (273, 1), (445, 1), (759, 1), (946, 1), (5601, 1), (10835, 1), (14053, 1)], [(8, 1), (173, 1), (2925, 1), (6531, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 2), (64, 1), (96, 1), (99, 2), (117, 3), (256, 1), (309, 1), (759, 1), (1165, 1), (1938, 2), (2145, 1), (2498, 1), (2854, 1), (3073, 1)], [(18, 1), (19, 1), (22, 1), (25, 1), (65, 1), (66, 1), (71, 1), (95, 1), (99, 1), (117, 1), (203, 1), (287, 1), (288, 1), (759, 1), (777, 1), (1458, 1), (1587, 1), (1824, 1), (1907, 1), (1938, 1), (2705, 1), (3034, 1), (5339, 1), (13783, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (64, 1), (173, 1), (269, 1), (504, 1), (1122, 1), (1163, 1), (1574, 1), (1580, 1), (1628, 1), (1938, 1), (3609, 1), (7394, 1), (14057, 1), (14058, 1), (14059, 1)], [(20, 3), (25, 1), (32, 1), (50, 1), (58, 1), (64, 1), (71, 1), (75, 1), (88, 1), (90, 2), (99, 1), (215, 1), (226, 2), (328, 1), (342, 1), (504, 1), (506, 2), (626, 1), (743, 1), (834, 1), (1430, 1), (1714, 1), (1902, 2), (1938, 1), (2145, 1), (3280, 1), (6883, 1), (7134, 1), (13783, 2)], [(20, 2), (23, 1), (25, 1), (30, 1), (53, 1), (58, 3), (66, 1), (88, 1), (273, 1), (433, 1), (1198, 1), (1755, 1), (2299, 1), (2541, 1), (4469, 1), (7134, 1)], [(18, 1), (20, 3), (22, 1), (23, 1), (45, 1), (51, 1), (53, 1), (58, 1), (64, 1), (66, 1), (108, 1), (117, 1), (777, 1), (1416, 1), (2409, 1), (2417, 1), (2790, 1), (2886, 1), (4469, 1), (6883, 1), (13050, 1), (13782, 1), (14023, 1), (14033, 1), (14045, 1), (14060, 1), (14061, 2)], [(19, 1), (20, 1), (22, 1), (53, 1), (64, 2), (99, 1), (124, 1), (233, 1), (776, 1), (946, 1), (1163, 1), (1377, 1), (1685, 1), (1906, 1), (2407, 1), (6941, 1), (7295, 1), (14062, 1)], [(8, 1), (31, 1), (51, 1), (53, 1), (64, 1), (65, 1), (233, 1), (269, 1), (645, 1), (776, 1), (1163, 1), (2206, 1), (8465, 1), (13056, 1), (14063, 1)], [(18, 2), (20, 3), (31, 2), (45, 2), (64, 1), (65, 2), (99, 3), (172, 2), (215, 1), (247, 1), (324, 1), (331, 1), (505, 1), (670, 1), (776, 1), (879, 1), (1139, 1), (1180, 1), (1868, 2), (1938, 1), (2019, 1), (2206, 1), (2407, 1), (4314, 1), (5055, 1), (11989, 1), (12189, 1), (12622, 1), (14064, 1)], [(18, 1), (20, 2), (25, 1), (32, 1), (99, 2), (215, 1), (226, 1), (331, 1), (479, 1), (506, 1), (694, 1), (702, 1), (744, 1), (792, 1), (946, 1), (1731, 1), (1824, 1), (2145, 1), (6289, 1)], [(8, 1), (233, 1), (7295, 1)], [(19, 2), (20, 1), (64, 1), (99, 1), (287, 1), (946, 1), (1323, 1), (1685, 1), (1938, 1), (13853, 1)], [(8, 1), (19, 1), (20, 1), (64, 1), (65, 1), (173, 2), (215, 1), (1163, 1), (1350, 1), (1574, 1), (1627, 1), (1678, 1), (2471, 1), (3389, 1), (14023, 1), (14065, 1)], [(64, 1), (247, 1), (6994, 1)], [(19, 1), (247, 1), (7341, 1)], [(8, 1), (20, 1), (23, 1), (99, 1), (420, 1), (1898, 1), (1938, 1), (5161, 1)], [(8, 1), (117, 1), (122, 1), (232, 1), (531, 1), (3741, 1), (4145, 1)], [(96, 1), (117, 1), (232, 1), (324, 1), (346, 1), (946, 1), (2084, 1)], [(20, 2), (22, 1), (25, 2), (30, 1), (45, 1), (51, 1), (53, 1), (64, 2), (66, 1), (117, 1), (173, 1), (190, 1), (233, 1), (256, 1), (287, 1), (448, 1), (645, 1), (702, 1), (759, 1), (1010, 1), (1163, 1), (1557, 1), (2409, 1), (2985, 1), (3013, 1), (3124, 1), (3291, 1), (4132, 1), (4523, 1), (4584, 1), (14066, 1), (14067, 1), (14068, 1), (14069, 1), (14070, 1), (14071, 1)], [(30, 1), (64, 1), (1714, 1), (6637, 1)], [(1347, 1), (1714, 1)], [(18, 1), (20, 1), (25, 1), (215, 1), (359, 1), (404, 1), (711, 1), (1714, 1), (2776, 1), (7089, 1), (14072, 1)], [(30, 1), (331, 1), (946, 1), (1139, 1), (3124, 1)], [(8, 1), (20, 2), (25, 1), (45, 2), (58, 1), (64, 1), (233, 1), (328, 1), (452, 1), (706, 1), (777, 1), (1009, 1), (1163, 1), (1720, 1), (2541, 1), (3655, 1), (6592, 1), (6954, 1), (7134, 1), (13963, 1)], [(19, 1), (20, 5), (64, 1), (65, 1), (84, 1), (99, 3), (186, 1), (214, 1), (241, 1), (287, 1), (420, 1), (428, 1), (893, 1), (897, 1), (1042, 1), (1685, 1), (1714, 1), (1938, 1), (3540, 1), (13853, 1)], [(20, 1), (53, 2), (58, 1), (99, 2), (117, 1), (301, 1), (759, 1), (760, 1), (1714, 1), (1907, 1), (2072, 1), (3034, 1), (3110, 1), (14073, 1)], [(20, 1), (65, 1), (946, 1), (3540, 1), (6289, 1), (11737, 1)], [(8, 1), (20, 1), (31, 1), (37, 1), (53, 1), (64, 1), (117, 2), (233, 1), (273, 1), (759, 2), (1163, 1), (1458, 1), (5601, 1), (13963, 1), (13985, 1), (14074, 1)], [(20, 1), (64, 1), (99, 1), (117, 1), (186, 1), (233, 1), (328, 1), (759, 1), (1714, 1), (2498, 1), (2705, 1)], [(8, 1), (20, 1), (25, 2), (32, 1), (34, 1), (214, 1), (324, 1), (1137, 1), (1139, 1), (1170, 1), (1865, 1), (7134, 1)], [(7, 2), (8, 1), (19, 1), (20, 8), (22, 1), (53, 3), (92, 1), (99, 3), (117, 2), (232, 1), (256, 1), (268, 2), (287, 1), (301, 1), (328, 1), (428, 1), (697, 1), (759, 1), (1001, 1), (1122, 1), (1483, 1), (1499, 1), (1615, 2), (1698, 1), (1907, 1), (1938, 2), (3064, 1), (5409, 1), (5699, 1), (5745, 1), (13853, 1)], [(8, 1), (18, 1), (20, 2), (58, 1), (71, 1), (111, 1), (117, 2), (122, 1), (203, 1), (232, 2), (256, 1), (268, 1), (287, 1), (2016, 1), (2245, 1), (3181, 1), (14075, 1)], [(8, 1), (31, 1), (50, 1), (214, 1), (301, 1), (434, 1), (1001, 1), (1824, 1), (3056, 1)], [(8, 1), (20, 2), (25, 1), (324, 1), (809, 1), (1580, 1), (1938, 1), (1997, 1), (7134, 1), (14076, 1)], [(295, 1), (809, 1), (1336, 1), (1714, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (29, 1), (31, 1), (50, 1), (75, 1), (117, 3), (269, 1), (324, 2), (415, 1), (420, 1), (759, 1), (1580, 1), (1938, 1), (1997, 1), (3073, 1), (3446, 1), (3540, 1), (3591, 1), (10402, 1), (14077, 1)], [(247, 1), (596, 1)], [(20, 1), (29, 1), (90, 2), (117, 1), (232, 1), (247, 1), (324, 2), (328, 1), (1683, 1), (14078, 1)], [(247, 1), (14079, 1)], [(8, 1), (21, 1), (32, 1), (58, 2), (90, 1), (99, 1), (117, 1), (172, 1), (232, 1), (306, 1), (3786, 1)], [(20, 1), (25, 1), (32, 1), (58, 1), (66, 1), (328, 1), (2031, 1), (3487, 1), (10402, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (45, 1), (51, 1), (53, 2), (55, 1), (64, 1), (117, 1), (193, 1), (215, 2), (233, 1), (269, 1), (504, 1), (706, 1), (725, 1), (922, 1), (1082, 1), (1163, 1), (1342, 1), (1354, 1), (1615, 1), (2401, 1), (2479, 2), (2514, 1), (2823, 1), (2849, 1), (3802, 1), (6568, 1), (14044, 1), (14080, 1)], [(20, 4), (22, 1), (23, 1), (34, 2), (50, 2), (54, 1), (58, 1), (64, 1), (65, 1), (85, 1), (90, 2), (95, 1), (99, 3), (117, 1), (172, 1), (185, 1), (215, 2), (293, 1), (452, 1), (759, 1), (897, 1), (1450, 1), (1627, 1), (1668, 1), (1714, 1), (1907, 1), (1938, 1), (2013, 1), (2140, 1), (2954, 1), (6379, 1), (13783, 1)], [(7, 1), (8, 1), (19, 2), (20, 4), (23, 1), (53, 2), (58, 1), (65, 1), (82, 1), (95, 1), (96, 1), (99, 2), (108, 2), (117, 1), (215, 1), (226, 1), (293, 1), (420, 1), (1580, 1), (1685, 1), (1938, 1), (2013, 1), (2145, 1), (2265, 1), (2766, 1), (2854, 1), (2984, 1), (3035, 1), (5367, 1), (7315, 1), (13783, 1), (14081, 1)], [(18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (31, 1), (53, 2), (55, 1), (58, 2), (75, 1), (90, 1), (117, 1), (269, 1), (295, 1), (415, 1), (809, 1), (1075, 1), (1714, 1), (3181, 1), (3476, 1), (3852, 1), (8142, 1), (9424, 1), (10402, 1), (13783, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (22, 1), (31, 2), (32, 1), (45, 1), (50, 1), (53, 2), (65, 1), (71, 1), (74, 1), (91, 1), (99, 1), (172, 1), (214, 1), (331, 1), (419, 1), (420, 1), (800, 1), (1541, 1), (1615, 1), (1938, 1), (2140, 1), (3242, 1), (3685, 1), (3785, 1), (9179, 1), (14082, 1)], [(8, 1), (20, 2), (50, 1), (53, 2), (91, 1), (108, 1), (172, 1), (209, 1), (1938, 1), (3264, 1), (6248, 1), (14083, 1)], [(20, 1), (32, 1), (66, 1), (287, 1), (295, 1), (351, 1), (830, 1)], [(8, 1), (20, 1), (54, 1), (173, 1), (301, 1), (347, 1), (420, 1), (708, 1), (1248, 1), (3083, 1), (3670, 1), (7224, 1), (10668, 1), (13963, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (53, 1), (64, 1), (65, 2), (108, 1), (506, 1), (691, 1), (1224, 1), (1588, 1), (1906, 1), (2343, 1), (2852, 1), (3242, 1), (14084, 1)], [(117, 1), (295, 1), (467, 1), (809, 1), (1714, 1)], [(20, 1), (99, 1), (247, 1), (752, 1), (897, 1), (1324, 1), (2633, 1), (8581, 1)], [(247, 1), (2234, 1)], [(18, 1), (99, 1), (247, 1), (287, 1), (307, 1), (885, 1), (1328, 1), (1458, 1), (2633, 1), (6994, 1), (7255, 1)], [(21, 1), (65, 1), (66, 1), (108, 1), (117, 1), (756, 1), (759, 1), (1907, 1), (3962, 1), (7420, 1), (14085, 1)], [(7, 1), (20, 1), (64, 1), (247, 1), (14086, 1), (14087, 1)], [(8, 1), (20, 1), (30, 2), (50, 1), (95, 2), (117, 1), (2269, 2), (14088, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (45, 1), (50, 1), (51, 1), (53, 1), (55, 1), (97, 1), (117, 2), (124, 1), (173, 2), (504, 1), (645, 1), (759, 1), (1163, 1), (1324, 1), (2011, 1), (2348, 1), (2417, 1), (3048, 1), (3073, 1), (3862, 1), (6047, 1), (6467, 1), (13990, 1), (14011, 1), (14067, 1), (14071, 1), (14089, 1), (14090, 1)], [(1544, 1), (14091, 1)], [(8, 1), (18, 1), (24, 1), (215, 1), (756, 1), (14092, 1)], [(7, 1), (8, 1), (18, 2), (20, 4), (22, 1), (25, 2), (30, 1), (45, 2), (50, 1), (53, 2), (58, 1), (90, 2), (99, 1), (185, 1), (203, 1), (215, 1), (229, 1), (269, 1), (273, 1), (281, 1), (287, 1), (293, 1), (387, 1), (428, 1), (516, 1), (645, 1), (658, 1), (675, 1), (743, 1), (830, 1), (884, 1), (1686, 1), (1899, 1), (2269, 1), (2365, 1), (3328, 1), (3536, 1), (3804, 1), (4375, 1), (4435, 1), (5258, 1), (7295, 1), (10254, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (77, 1), (90, 1), (93, 1), (122, 1), (281, 1), (328, 1), (334, 1), (756, 1), (829, 1), (1157, 1), (1166, 1), (1248, 1), (3814, 1), (3867, 1), (4347, 1), (4620, 1), (7572, 1), (9079, 1), (14093, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (31, 1), (50, 2), (53, 1), (55, 1), (71, 1), (90, 1), (95, 1), (97, 1), (99, 1), (108, 1), (117, 1), (214, 1), (232, 1), (526, 1), (531, 1), (1311, 1), (1342, 1), (1938, 1), (3681, 1), (4157, 1), (4462, 1), (6591, 1), (6884, 1), (7132, 1), (8853, 1), (9716, 1), (13159, 1), (14094, 1), (14095, 1), (14096, 1), (14097, 1), (14098, 1)], [(8, 1), (19, 1), (20, 2), (185, 1), (214, 1), (361, 1), (2241, 1), (2785, 1), (3294, 1), (8576, 1), (14099, 1)], [(8, 1), (20, 1), (24, 1), (25, 2), (50, 1), (53, 1), (65, 1), (71, 1), (77, 1), (108, 1), (111, 1), (240, 1), (353, 1), (410, 1), (424, 1), (428, 1), (601, 1), (771, 1), (827, 1), (2891, 1), (6018, 1), (12864, 1), (14085, 4), (14100, 1), (14101, 1), (14102, 1)], [(8, 1), (24, 1), (50, 2), (51, 1), (91, 1), (452, 1), (459, 1), (12279, 1), (14103, 1), (14104, 1)], [(8, 1), (18, 1), (53, 1), (109, 1), (334, 1), (347, 1), (530, 1), (5391, 1), (9143, 1), (14105, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (24, 1), (30, 1), (37, 1), (45, 1), (50, 1), (53, 1), (58, 1), (65, 1), (71, 1), (77, 1), (82, 1), (90, 1), (95, 1), (99, 1), (174, 1), (193, 1), (202, 1), (256, 1), (269, 1), (274, 1), (285, 1), (289, 1), (293, 1), (307, 1), (310, 1), (324, 1), (328, 1), (399, 1), (420, 1), (459, 1), (507, 1), (702, 1), (704, 1), (828, 1), (1241, 1), (1324, 1), (1354, 1), (2666, 1), (2891, 1), (3294, 1), (3539, 1), (5910, 1), (9424, 1), (9465, 1), (14106, 1)], [(8, 1), (20, 1), (22, 1), (50, 2), (53, 2), (82, 1), (187, 1), (214, 1), (256, 1), (293, 1), (407, 1), (516, 1), (600, 1), (6883, 1), (7295, 1), (7830, 1), (8866, 1), (13335, 1), (14107, 1), (14108, 1), (14109, 1)], [(8, 1), (20, 1), (25, 1), (37, 1), (50, 1), (51, 2), (172, 1), (187, 1), (281, 1), (288, 1), (537, 1), (711, 1), (751, 1), (1589, 1), (3034, 1), (3476, 1), (7761, 1), (7808, 1), (14110, 1)], [(8, 1), (20, 3), (25, 1), (50, 2), (108, 1), (215, 1), (269, 1), (407, 1), (450, 1), (827, 1), (2240, 1), (3901, 1), (6012, 1), (7138, 1), (9047, 1), (14111, 1), (14112, 1), (14113, 1), (14114, 1), (14115, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (21, 1), (31, 1), (50, 1), (53, 2), (85, 1), (90, 2), (97, 1), (108, 1), (174, 1), (185, 1), (187, 1), (206, 1), (217, 1), (323, 1), (331, 1), (337, 1), (347, 1), (414, 1), (459, 1), (488, 1), (506, 1), (526, 1), (600, 1), (892, 1), (1157, 1), (1293, 1), (1656, 2), (2096, 1), (2870, 1), (3171, 1), (3726, 1), (3752, 1), (5524, 1), (8856, 1), (9047, 1), (14116, 1), (14117, 1), (14118, 1), (14119, 1)], [(8, 1), (20, 5), (25, 2), (51, 1), (53, 1), (64, 1), (65, 2), (72, 1), (97, 1), (111, 1), (117, 1), (206, 1), (214, 1), (420, 1), (421, 1), (516, 1), (711, 1), (827, 1), (1262, 1), (1441, 1), (1471, 1), (1901, 1), (2785, 1), (3001, 1), (6013, 1), (6413, 1), (10343, 1), (13029, 1), (13755, 1), (14119, 1), (14120, 1), (14121, 1), (14122, 1), (14123, 1), (14124, 1), (14125, 1), (14126, 1)], [(8, 1), (45, 1), (53, 1), (65, 1), (90, 1), (172, 1), (407, 1), (530, 1), (531, 1), (581, 1), (708, 1), (744, 1), (1005, 1), (1170, 1), (1354, 1), (2515, 1), (3040, 1), (3670, 1), (14127, 1), (14128, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (53, 1), (77, 1), (95, 1), (96, 1), (215, 1), (301, 1), (532, 1), (2772, 1), (3813, 1), (9424, 1), (14129, 1), (14130, 1)], [(8, 1), (19, 1), (20, 1), (36, 1), (50, 1), (53, 2), (71, 1), (77, 1), (278, 1), (334, 1), (365, 1), (534, 1), (2178, 1), (9499, 1), (14131, 1), (14132, 1)], [(8, 1), (10, 1), (18, 2), (20, 1), (45, 1), (50, 1), (53, 1), (58, 1), (71, 1), (77, 1), (82, 1), (97, 2), (117, 1), (193, 1), (215, 2), (232, 1), (285, 1), (459, 1), (534, 1), (744, 1), (782, 1), (1589, 1), (1670, 1), (2241, 1), (2732, 1), (8266, 1), (8552, 1), (8576, 1), (9424, 1), (11272, 1), (14093, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 1), (31, 1), (50, 2), (53, 3), (65, 1), (77, 1), (90, 1), (108, 1), (278, 1), (288, 1), (301, 1), (516, 1), (778, 1), (1041, 1), (1348, 1), (1350, 1), (1392, 1), (1634, 1), (1824, 1), (2891, 1), (3696, 1), (4163, 1), (5279, 1), (5397, 1), (6008, 1), (7815, 1), (9859, 1), (10723, 1), (11413, 1), (14133, 1), (14134, 1), (14135, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (50, 2), (58, 2), (172, 1), (228, 1), (415, 1), (428, 1), (448, 1), (897, 1), (1471, 1), (3828, 1), (4402, 1), (6645, 1), (8632, 1), (14136, 1)], [(8, 1), (18, 1), (19, 1), (25, 1), (50, 1), (53, 4), (58, 1), (65, 2), (77, 1), (91, 1), (108, 1), (174, 1), (328, 1), (359, 1), (387, 1), (428, 1), (450, 1), (498, 1), (537, 1), (689, 1), (692, 1), (709, 1), (815, 1), (1224, 1), (2440, 1), (2820, 1), (3145, 1), (3530, 1), (5548, 1), (5953, 1), (6423, 1)], [(8, 1), (18, 1), (23, 1), (172, 1), (353, 1), (1820, 1), (2178, 1), (2852, 1), (4085, 1)], [(8, 1), (18, 2), (50, 1), (53, 2), (195, 1), (214, 1), (359, 1), (756, 1), (1253, 1), (2241, 1), (3121, 1), (7500, 1), (8174, 1), (9424, 1)], [(7, 3), (8, 1), (10, 1), (18, 4), (19, 3), (20, 10), (22, 2), (24, 1), (25, 4), (31, 1), (50, 2), (53, 3), (55, 2), (71, 1), (77, 2), (90, 1), (97, 2), (109, 1), (117, 3), (172, 1), (197, 1), (214, 1), (215, 1), (229, 2), (232, 1), (269, 1), (281, 1), (293, 1), (399, 2), (407, 1), (418, 2), (428, 2), (448, 2), (450, 2), (531, 1), (706, 2), (711, 1), (782, 1), (827, 1), (829, 1), (884, 1), (897, 1), (941, 1), (1242, 1), (1481, 1), (1598, 1), (1615, 1), (1779, 1), (1929, 1), (2145, 1), (2235, 1), (2698, 2), (2716, 1), (2785, 1), (2960, 1), (2983, 1), (3453, 1), (4076, 1), (5550, 1), (5827, 1), (6033, 1), (6367, 1), (6650, 1), (6883, 1), (8174, 2), (8274, 1), (8341, 1), (9160, 1), (9424, 1), (11686, 1), (13913, 1), (14137, 1), (14138, 1), (14139, 2), (14140, 1), (14141, 1), (14142, 2), (14143, 1), (14144, 1)], [(8, 1), (18, 1), (20, 1), (30, 1), (34, 1), (50, 1), (53, 2), (55, 1), (63, 1), (77, 2), (90, 1), (99, 1), (117, 1), (232, 1), (269, 1), (307, 1), (331, 1), (531, 1), (581, 1), (706, 1), (1695, 1), (2149, 1), (2164, 1), (2197, 1), (2235, 1), (9402, 1), (11211, 1), (12738, 1), (14138, 1)], [(18, 1), (20, 1), (24, 1), (30, 1), (50, 1), (55, 1), (64, 1), (193, 1), (531, 1), (706, 1), (813, 1), (1178, 1), (3942, 1), (14145, 1), (14146, 1), (14147, 1), (14148, 1)], [(8, 1), (5725, 1)], [(8, 2), (19, 2), (20, 4), (22, 1), (30, 1), (31, 1), (50, 1), (53, 3), (55, 1), (77, 2), (82, 1), (90, 2), (95, 1), (109, 1), (122, 1), (163, 1), (293, 1), (307, 1), (392, 1), (448, 1), (697, 1), (963, 1), (1277, 1), (1470, 1), (1499, 1), (1708, 1), (1877, 1), (3602, 1), (4059, 1), (8576, 1), (8782, 1), (8967, 1), (9141, 1), (14149, 1), (14150, 1), (14151, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (25, 1), (50, 1), (53, 1), (58, 1), (90, 1), (229, 1), (278, 1), (365, 1), (387, 1), (645, 1), (743, 1), (1041, 1), (2269, 2), (2365, 1), (2972, 1), (13559, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 3), (25, 2), (40, 1), (45, 1), (53, 1), (54, 2), (58, 1), (90, 1), (161, 1), (172, 1), (173, 4), (215, 1), (217, 2), (268, 1), (285, 1), (301, 1), (347, 1), (414, 1), (504, 2), (531, 1), (597, 1), (645, 1), (763, 1), (1310, 1), (1499, 1), (1747, 1), (2140, 1), (2581, 1), (3052, 2), (5773, 1), (9499, 1), (13086, 2), (13559, 1), (14152, 1), (14153, 1)], [(8, 1), (18, 1), (19, 1), (25, 1), (34, 1), (50, 3), (53, 3), (65, 1), (174, 1), (186, 1), (193, 1), (893, 1), (1224, 1), (1671, 1), (1678, 1), (2219, 1), (2405, 1), (2891, 1), (3174, 1), (3476, 1), (3824, 1), (14154, 1), (14155, 1)], [(18, 1), (50, 1), (53, 1), (82, 1), (85, 1), (88, 1), (90, 1), (117, 1), (232, 1), (1088, 1), (1668, 1), (1714, 1), (2706, 1), (9929, 1), (11968, 1)], [(1714, 1), (13456, 1)], [(18, 1), (77, 1), (82, 1), (323, 1), (1714, 1), (2706, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (23, 2), (25, 2), (31, 3), (45, 1), (50, 1), (53, 3), (58, 2), (65, 3), (71, 2), (90, 2), (99, 1), (108, 3), (124, 2), (190, 2), (245, 1), (273, 1), (305, 1), (309, 1), (310, 1), (323, 1), (361, 1), (414, 1), (450, 1), (833, 1), (1947, 1), (2133, 1), (2145, 1), (3155, 1), (3813, 1), (4841, 1), (5054, 1), (6946, 1), (7660, 1), (7829, 1), (9490, 2), (10835, 1), (12153, 1), (14156, 2), (14157, 1), (14158, 1), (14159, 1), (14160, 1), (14161, 1), (14162, 1), (14163, 1), (14164, 1), (14165, 1), (14166, 1)], [(7, 1), (20, 2), (53, 1), (95, 1), (173, 2), (229, 1), (301, 1), (1041, 1), (1714, 1), (1747, 1), (2365, 1), (2905, 1), (7295, 1)], [(19, 1), (20, 1), (25, 1), (58, 1), (77, 2), (90, 1), (1396, 1), (1714, 1), (6604, 1), (11661, 1)], [(20, 3), (25, 1), (50, 3), (53, 3), (65, 1), (77, 1), (90, 2), (96, 2), (99, 1), (193, 1), (214, 1), (256, 1), (324, 1), (328, 1), (353, 1), (442, 1), (452, 1), (708, 1), (1580, 1), (1670, 1), (1683, 1), (1714, 1), (1871, 1), (2692, 2), (2864, 1), (3813, 1), (6546, 1), (7660, 1), (8576, 1), (9499, 1), (11686, 1), (14162, 1), (14167, 1)], [(20, 1), (55, 1), (90, 1), (96, 1), (99, 1), (324, 1), (331, 1), (337, 1), (449, 1), (534, 1), (1685, 1), (1714, 1), (7022, 1), (10591, 1), (14168, 1)], [(8, 1), (18, 1), (50, 1), (53, 1), (922, 1), (1068, 1), (1939, 1), (12106, 1)], [(19, 1), (45, 1), (50, 2), (53, 3), (55, 1), (96, 1), (108, 1), (331, 1), (792, 1), (1714, 1), (13679, 1), (14169, 1), (14170, 1), (14171, 1), (14172, 1), (14173, 1), (14174, 1), (14175, 1), (14176, 1)], [(8, 1), (18, 1), (19, 1), (53, 1), (77, 1), (90, 2), (111, 1), (122, 1), (256, 1), (388, 1), (418, 1), (527, 1), (988, 1), (1308, 1), (2019, 1), (2344, 1), (2560, 1), (11413, 1), (13735, 1), (14177, 1), (14178, 1)], [(1544, 1), (14179, 1)], [(8, 1), (24, 1), (14089, 1), (14180, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (25, 1), (30, 1), (31, 2), (50, 1), (53, 2), (58, 1), (77, 2), (82, 1), (174, 1), (193, 3), (202, 1), (215, 1), (337, 1), (387, 1), (443, 1), (741, 1), (756, 1), (776, 1), (1224, 1), (1253, 1), (1282, 1), (1909, 1), (2245, 1), (2337, 1), (3013, 1), (3685, 1), (5512, 1), (5833, 1), (7382, 1), (7514, 1), (9266, 1), (9387, 1)], [(8, 1), (19, 1), (22, 2), (25, 1), (37, 1), (58, 1), (77, 2), (82, 1), (90, 1), (269, 1), (286, 1), (410, 1), (452, 1), (531, 1), (753, 1), (941, 1), (1354, 1), (1627, 1), (2245, 1), (3854, 1), (3901, 1), (13131, 1)], [(8, 1), (18, 1), (19, 3), (20, 7), (22, 3), (25, 2), (31, 2), (34, 1), (37, 2), (45, 1), (53, 5), (55, 1), (65, 1), (71, 1), (77, 2), (88, 1), (90, 4), (108, 1), (117, 1), (192, 1), (197, 1), (240, 1), (269, 1), (292, 2), (378, 1), (418, 2), (531, 1), (752, 1), (897, 1), (1057, 1), (1129, 1), (1329, 1), (1342, 1), (1435, 1), (1506, 1), (2064, 1), (2361, 1), (2440, 1), (2466, 1), (3048, 1), (3287, 1), (3646, 1), (4533, 1), (4908, 1), (6074, 1), (6364, 1), (6423, 1), (8001, 1), (9587, 1), (9608, 1), (12723, 1), (14181, 1)], [(7, 1), (8, 1), (18, 1), (20, 6), (22, 1), (31, 1), (37, 1), (50, 1), (53, 4), (71, 1), (82, 1), (90, 1), (108, 1), (124, 1), (173, 1), (185, 1), (190, 1), (193, 1), (273, 1), (275, 1), (281, 1), (285, 1), (293, 1), (301, 1), (414, 1), (459, 1), (462, 1), (744, 1), (833, 1), (884, 1), (1097, 1), (1122, 1), (1155, 1), (1613, 1), (1656, 1), (1665, 1), (1877, 1), (2084, 1), (2552, 1), (2681, 1), (2926, 1), (3030, 1), (5435, 1), (10273, 1), (10573, 1), (11078, 1), (11454, 1), (14182, 1), (14183, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 8), (31, 1), (50, 1), (53, 1), (55, 1), (65, 1), (71, 1), (74, 1), (82, 1), (91, 2), (97, 1), (186, 1), (193, 1), (201, 1), (206, 1), (293, 1), (359, 1), (407, 1), (415, 1), (428, 1), (448, 1), (450, 1), (581, 1), (583, 1), (675, 1), (1139, 1), (1308, 1), (1399, 1), (1685, 1), (1702, 1), (2047, 1), (2096, 1), (2137, 1), (2467, 1), (2744, 1), (3093, 1), (5072, 1), (5816, 1), (6402, 1), (7519, 1), (8962, 1), (9037, 1), (10602, 1), (12192, 1), (14184, 1), (14185, 1), (14186, 1), (14187, 1)], [(8, 1), (19, 3), (20, 5), (22, 1), (25, 1), (31, 2), (53, 4), (54, 2), (55, 1), (58, 2), (69, 1), (71, 1), (82, 1), (90, 1), (117, 1), (161, 1), (172, 2), (195, 1), (232, 1), (236, 1), (269, 1), (285, 1), (301, 1), (365, 1), (632, 1), (645, 1), (692, 1), (744, 1), (777, 1), (834, 1), (1097, 2), (1102, 1), (1122, 1), (1159, 1), (1224, 1), (1541, 1), (1820, 1), (2164, 1), (2304, 1), (2985, 1), (4296, 1), (6129, 1), (7429, 1), (14188, 1), (14189, 1)], [(7, 1), (8, 1), (18, 1), (20, 10), (22, 2), (25, 3), (45, 1), (50, 2), (53, 7), (54, 2), (65, 2), (90, 1), (108, 1), (123, 1), (174, 2), (186, 1), (206, 1), (268, 1), (281, 1), (293, 1), (333, 1), (337, 1), (338, 1), (365, 1), (399, 1), (414, 1), (418, 1), (420, 1), (426, 1), (428, 1), (450, 3), (531, 1), (632, 1), (711, 1), (777, 2), (988, 1), (1097, 2), (1150, 1), (1248, 1), (1308, 1), (1395, 1), (1596, 1), (1719, 1), (1958, 1), (1992, 1), (2064, 1), (2096, 1), (2343, 1), (2365, 1), (2466, 1), (2852, 1), (2934, 1), (3121, 1), (3287, 1), (3324, 1), (3415, 1), (3614, 1), (3685, 1), (3794, 1), (3828, 1), (4379, 1), (4427, 1), (4473, 1), (6110, 1), (6300, 1), (7295, 1), (7718, 1), (7892, 1), (10138, 1), (12332, 1), (12553, 1), (12626, 1), (13897, 1), (14186, 1), (14190, 1), (14191, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (31, 1), (50, 3), (53, 4), (82, 1), (166, 1), (185, 1), (301, 1), (410, 1), (443, 1), (450, 2), (535, 1), (1463, 1), (1467, 1), (2029, 1), (2812, 1), (2960, 1), (6221, 1), (6336, 1), (8611, 1), (8629, 1), (11078, 1), (12380, 1), (14192, 1), (14193, 1)], [(7, 2), (8, 1), (19, 1), (20, 5), (22, 1), (25, 2), (53, 2), (71, 1), (82, 1), (117, 1), (193, 1), (229, 1), (232, 1), (256, 1), (382, 1), (415, 1), (450, 1), (486, 1), (516, 1), (530, 1), (573, 1), (690, 1), (777, 2), (834, 1), (903, 1), (922, 1), (1057, 1), (1122, 1), (1129, 1), (1308, 1), (1430, 1), (1458, 1), (3803, 1), (4282, 1), (14194, 1), (14195, 1), (14196, 1), (14197, 1), (14198, 1), (14199, 1), (14200, 1)], [(8, 1), (37, 1), (54, 1), (185, 1), (3043, 1)], [(8, 1), (19, 1), (25, 1), (50, 1), (53, 1), (54, 1), (55, 1), (122, 1), (206, 1), (670, 1), (11147, 1), (12797, 1), (14201, 1), (14202, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 1), (50, 1), (53, 1), (71, 1), (72, 1), (96, 1), (111, 1), (126, 1), (337, 1), (347, 1), (442, 1), (450, 1), (452, 1), (505, 1), (601, 1), (813, 1), (903, 1), (1519, 1), (4033, 1), (4484, 1), (7848, 1), (8110, 1), (9423, 1), (9845, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (45, 2), (50, 3), (53, 2), (69, 1), (75, 1), (108, 1), (117, 1), (173, 1), (178, 1), (206, 1), (232, 1), (269, 1), (310, 1), (414, 1), (420, 1), (708, 1), (893, 1), (1088, 1), (1097, 1), (2064, 1), (2354, 1), (3049, 1), (3102, 1), (3333, 1), (3614, 1), (5404, 1), (6642, 1), (9554, 1), (12753, 1), (14203, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 3), (24, 1), (25, 2), (31, 2), (50, 2), (53, 4), (58, 1), (65, 2), (75, 1), (77, 3), (97, 1), (108, 1), (110, 1), (117, 1), (214, 1), (232, 1), (337, 1), (353, 1), (410, 1), (432, 1), (452, 1), (454, 1), (645, 1), (798, 1), (833, 1), (988, 1), (1041, 2), (1308, 1), (1630, 1), (1909, 1), (2096, 1), (2711, 1), (2839, 1), (2862, 1), (3383, 1), (3685, 1), (5743, 1), (5986, 1), (6242, 1), (7742, 1), (8787, 1), (9112, 1), (14184, 1), (14204, 1), (14205, 1), (14206, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (77, 2), (106, 1), (215, 2), (420, 1), (516, 1), (827, 1), (1312, 1), (1450, 1), (1731, 1), (2029, 1), (2466, 1), (2467, 1), (2839, 1), (3888, 1), (9767, 1), (14207, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (77, 1), (108, 1), (109, 1), (174, 1), (359, 1), (607, 1), (704, 1), (1041, 1), (2692, 1), (2948, 1), (4526, 1), (5257, 1), (9774, 1), (10108, 1)], [(20, 1), (22, 2), (25, 1), (30, 1), (45, 1), (53, 1), (64, 2), (66, 1), (71, 1), (75, 1), (96, 1), (111, 1), (186, 1), (203, 1), (233, 1), (256, 1), (268, 1), (269, 1), (310, 1), (353, 2), (1163, 1), (1361, 1), (1928, 1), (2712, 1), (2997, 1), (3614, 1), (5133, 1), (6047, 2), (6090, 4), (10835, 1), (13820, 1), (14156, 1), (14208, 1), (14209, 1), (14210, 1)], [(1544, 1), (14211, 1)], [(8, 1), (359, 1), (14212, 1)], [(18, 2), (20, 1), (25, 1), (54, 1), (122, 1), (215, 1), (247, 1), (744, 1), (1224, 1), (1674, 1), (2219, 1), (2351, 1)], [(8, 1), (37, 1), (50, 1), (214, 1), (1471, 1), (1674, 1), (2640, 1), (14213, 1), (14214, 1), (14215, 1)], [(8, 1), (18, 2), (22, 1), (24, 1), (54, 1), (96, 1), (197, 1), (428, 1), (903, 1), (1960, 1), (2406, 1), (2694, 1), (6129, 1), (14216, 1), (14217, 1)], [(8, 1), (19, 1), (53, 1), (172, 1), (186, 1), (236, 1), (285, 1), (365, 1), (419, 1), (459, 1), (1403, 1), (1760, 1), (2332, 1), (2545, 1), (2705, 1), (3284, 1), (14152, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (21, 1), (25, 2), (50, 2), (53, 5), (54, 1), (65, 2), (97, 1), (117, 1), (185, 1), (186, 1), (222, 1), (232, 1), (268, 1), (317, 1), (359, 1), (399, 1), (415, 1), (487, 1), (581, 1), (587, 1), (621, 1), (645, 1), (706, 1), (709, 1), (763, 1), (767, 1), (1042, 1), (1131, 1), (1259, 1), (1287, 1), (1733, 1), (2034, 1), (2064, 1), (2184, 1), (2199, 1), (2356, 1), (3321, 1), (3540, 1), (3685, 1), (3982, 1), (4599, 1), (5743, 1), (5952, 1), (7154, 1), (7164, 1), (8537, 1), (10446, 1), (11964, 1), (12079, 1), (14218, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (24, 1), (25, 1), (50, 2), (53, 6), (54, 3), (65, 1), (92, 1), (95, 1), (185, 1), (206, 1), (269, 1), (334, 1), (448, 1), (516, 1), (692, 1), (777, 1), (828, 1), (897, 1), (1540, 1), (2200, 1), (2862, 1), (2880, 1), (5564, 2), (5743, 1), (7329, 1), (8724, 1), (9047, 1), (9239, 1), (11964, 1), (11998, 1), (13691, 1), (14219, 1), (14220, 1), (14221, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (26, 1), (31, 2), (32, 1), (50, 2), (53, 7), (55, 1), (65, 1), (108, 1), (174, 1), (331, 1), (418, 1), (450, 1), (632, 2), (767, 1), (777, 1), (860, 1), (1731, 1), (2911, 1), (3064, 1), (3685, 1), (3934, 1), (5496, 1), (6060, 1), (7286, 1), (7295, 1), (8451, 1), (8724, 1), (9179, 1), (14186, 1), (14190, 1)], [(8, 1), (18, 2), (20, 5), (25, 1), (26, 1), (31, 1), (32, 1), (50, 1), (53, 5), (77, 2), (106, 1), (186, 1), (193, 1), (269, 1), (703, 1), (1042, 1), (1122, 1), (1239, 1), (1395, 1), (1506, 1), (2168, 1), (2340, 1), (3064, 1), (3181, 1), (4526, 1), (4769, 1), (5188, 1), (7255, 1), (7324, 1), (7329, 1), (8724, 1), (14222, 1), (14223, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (31, 2), (50, 1), (51, 1), (53, 3), (65, 2), (197, 1), (317, 1), (414, 1), (516, 1), (531, 1), (632, 1), (709, 1), (777, 1), (1159, 3), (1322, 1), (1481, 2), (2321, 1), (2529, 1), (2967, 1), (3013, 1), (3123, 1), (3700, 1), (4214, 1), (4774, 1), (5013, 1), (6371, 1), (11245, 1), (13840, 1), (14224, 1), (14225, 1), (14226, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 4), (22, 2), (25, 3), (50, 3), (53, 8), (55, 1), (58, 1), (77, 2), (95, 2), (109, 2), (124, 1), (193, 1), (197, 1), (334, 1), (337, 1), (428, 1), (709, 1), (763, 1), (777, 1), (1057, 1), (1169, 1), (1266, 1), (1322, 1), (1529, 1), (1668, 1), (2030, 1), (2344, 1), (2789, 1), (2862, 1), (3664, 1), (4479, 1), (5157, 1), (5761, 1), (7185, 1), (7329, 1), (7341, 2), (8371, 1), (8991, 1), (9047, 1), (9626, 1), (10498, 1), (12790, 1), (13664, 1), (13774, 1), (13917, 1), (14223, 1), (14227, 1), (14228, 1), (14229, 1)], [(7, 1), (8, 1), (20, 1), (26, 1), (53, 4), (58, 2), (77, 2), (95, 1), (109, 1), (215, 3), (275, 1), (293, 1), (346, 1), (531, 2), (708, 1), (1598, 2), (1747, 1), (5754, 2), (9047, 1), (13327, 1), (14230, 2), (14231, 1), (14232, 1)], [(7, 3), (8, 1), (18, 1), (19, 2), (20, 7), (22, 2), (25, 10), (30, 1), (31, 2), (37, 1), (45, 1), (50, 1), (53, 15), (58, 5), (64, 1), (65, 2), (72, 1), (77, 2), (88, 1), (90, 1), (95, 1), (108, 1), (109, 1), (111, 1), (112, 1), (186, 1), (193, 1), (197, 1), (203, 1), (215, 4), (269, 2), (286, 1), (306, 1), (310, 1), (418, 1), (420, 1), (452, 1), (498, 1), (504, 1), (600, 1), (680, 1), (703, 1), (708, 2), (777, 2), (827, 1), (830, 1), (897, 1), (1021, 1), (1041, 1), (1042, 1), (1057, 1), (1163, 1), (1239, 1), (1342, 1), (1392, 1), (1416, 1), (1526, 1), (1630, 1), (1731, 1), (1820, 1), (2016, 1), (2039, 1), (2178, 1), (2371, 1), (2466, 1), (2514, 1), (2543, 1), (2785, 1), (2862, 1), (2962, 1), (3110, 2), (3164, 1), (3296, 1), (3540, 1), (3664, 1), (3934, 1), (4214, 1), (4251, 1), (4296, 1), (4941, 1), (5047, 1), (5732, 1), (5896, 1), (7255, 1), (7286, 1), (7295, 1), (7329, 2), (8279, 1), (8341, 1), (9047, 1), (9362, 1), (9588, 1), (12170, 1), (12453, 1), (12753, 1), (14186, 1), (14233, 1), (14234, 1), (14235, 1), (14236, 1), (14237, 1), (14238, 1), (14239, 1), (14240, 1)], [(8, 1), (18, 3), (20, 2), (25, 1), (31, 1), (32, 1), (45, 1), (50, 2), (53, 3), (55, 1), (65, 1), (72, 1), (85, 1), (173, 1), (174, 1), (336, 1), (369, 1), (687, 1), (775, 1), (1312, 1), (1526, 1), (1596, 1), (1937, 1), (1992, 1), (2158, 1), (3064, 1), (3827, 1), (5246, 1), (5595, 1), (5743, 1), (11811, 1), (14241, 1), (14242, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (31, 1), (50, 1), (53, 3), (77, 1), (96, 1), (108, 1), (185, 1), (215, 1), (281, 1), (293, 1), (334, 1), (897, 1), (902, 1), (1083, 1), (1867, 1), (2077, 1), (2862, 1), (3064, 1), (6386, 1), (8746, 1), (9047, 1), (9626, 1), (11738, 1), (11929, 1), (14243, 1)], [(8, 1), (18, 3), (19, 1), (20, 11), (22, 1), (25, 2), (31, 1), (37, 2), (53, 3), (55, 1), (58, 1), (65, 1), (72, 1), (77, 2), (90, 1), (108, 1), (124, 1), (174, 1), (185, 1), (193, 1), (293, 1), (300, 1), (708, 1), (776, 1), (800, 1), (1354, 1), (1485, 1), (1520, 1), (1526, 1), (1529, 1), (1596, 1), (1630, 1), (1702, 1), (2830, 1), (2855, 1), (3394, 1), (3419, 1), (3664, 1), (3773, 1), (3879, 1), (4062, 1), (4941, 1), (5484, 1), (5501, 1), (5743, 1), (7892, 1), (8693, 1), (9362, 1), (10140, 1), (10478, 1), (12078, 1), (13141, 1), (14244, 1), (14245, 1), (14246, 1)], [(8, 1), (18, 1), (20, 4), (24, 1), (25, 3), (32, 1), (53, 6), (65, 1), (72, 1), (77, 2), (92, 1), (95, 1), (109, 1), (269, 1), (310, 1), (378, 1), (415, 1), (428, 1), (450, 1), (531, 1), (763, 1), (970, 1), (1042, 1), (1071, 1), (1324, 1), (1462, 1), (1529, 1), (1557, 1), (2077, 1), (2743, 1), (3563, 1), (3664, 2), (3969, 1), (4736, 1), (5997, 1), (9047, 1), (9626, 1), (12979, 1), (13126, 1), (14247, 1), (14248, 1), (14249, 1)], [(8, 1), (18, 1), (50, 1), (53, 1), (58, 1), (65, 1), (174, 1), (185, 1), (215, 1), (334, 1), (459, 1), (504, 1), (1324, 1), (1354, 1), (1526, 1), (2515, 1), (2830, 1), (3046, 1), (3476, 1), (3846, 1), (3879, 1), (7210, 1), (7392, 1), (9504, 1), (11566, 1), (11973, 1), (14243, 1)], [(7, 1), (8, 1), (20, 6), (22, 2), (25, 3), (37, 1), (50, 1), (53, 7), (65, 1), (95, 1), (331, 1), (418, 1), (608, 1), (697, 1), (709, 1), (1354, 1), (1820, 1), (1909, 1), (2479, 1), (2743, 1), (3447, 1), (3934, 1), (4736, 1), (5642, 1), (6681, 1), (7255, 1), (7329, 1), (7392, 1), (7892, 1), (9047, 1), (9588, 1), (9767, 1), (9866, 1), (11964, 1), (13694, 1), (14247, 1), (14250, 1), (14251, 1), (14252, 1)], [(1544, 1), (14253, 1)], [(8, 1), (24, 1), (10345, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (50, 1), (53, 2), (82, 1), (90, 1), (95, 1), (172, 1), (268, 1), (2669, 1), (3049, 1), (3121, 1), (3487, 1), (5942, 1), (14254, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (55, 1), (58, 1), (172, 1), (347, 1), (410, 1), (599, 1), (892, 1), (1471, 1), (3758, 1), (4956, 1), (8645, 1), (14255, 1)], [(8, 1), (22, 1), (58, 1), (77, 1), (256, 1), (531, 1), (1193, 1), (1308, 1), (2248, 1), (4698, 2), (7375, 1), (14256, 1)], [(20, 1), (24, 1), (25, 1), (50, 1), (53, 2), (77, 2), (95, 1), (96, 1), (1139, 1), (1714, 1), (3049, 1), (4145, 1)], [(8, 1), (45, 1), (77, 1), (96, 1), (99, 1), (3034, 1), (8603, 1), (9047, 1)], [(8, 1), (19, 1), (20, 4), (25, 3), (31, 1), (50, 2), (53, 1), (65, 1), (77, 1), (109, 1), (111, 1), (124, 1), (256, 1), (456, 1), (658, 1), (688, 1), (714, 1), (1022, 1), (1760, 1), (1901, 1), (2323, 1), (5417, 1), (6546, 1), (7913, 1), (9047, 1), (13100, 1), (13645, 1), (14257, 1), (14258, 1), (14259, 1), (14260, 1)], [(18, 1), (19, 1), (20, 4), (22, 2), (25, 2), (26, 1), (31, 1), (50, 5), (53, 3), (58, 1), (71, 1), (90, 3), (95, 1), (96, 1), (99, 1), (107, 1), (109, 1), (117, 2), (161, 3), (193, 1), (201, 1), (206, 1), (214, 1), (215, 1), (232, 2), (256, 2), (268, 1), (305, 1), (346, 1), (415, 1), (504, 1), (581, 1), (744, 1), (763, 1), (813, 1), (827, 1), (830, 1), (922, 1), (1072, 1), (1287, 1), (1470, 1), (1714, 1), (1824, 1), (1877, 1), (2539, 1), (2666, 1), (3049, 2), (3804, 1), (5085, 1), (8345, 2), (9047, 1), (10580, 1), (13645, 1), (14222, 2), (14257, 1), (14261, 1), (14262, 2), (14263, 1), (14264, 1), (14265, 1)], [(8, 1), (19, 1), (20, 8), (22, 1), (25, 3), (26, 1), (50, 2), (53, 3), (55, 1), (58, 2), (69, 1), (75, 1), (77, 2), (82, 1), (90, 1), (95, 1), (99, 1), (109, 1), (215, 2), (256, 1), (324, 1), (420, 1), (531, 1), (708, 1), (827, 1), (830, 1), (893, 1), (1294, 1), (1308, 2), (1667, 1), (1964, 1), (2320, 1), (2566, 1), (2698, 1), (2983, 1), (3103, 1), (3943, 1), (4402, 1), (4405, 1), (5518, 1), (6844, 1), (7036, 1), (9048, 1), (9859, 1), (14196, 1), (14266, 1), (14267, 1), (14268, 1), (14269, 1), (14270, 1), (14271, 1)], [(8, 1), (20, 1), (23, 2), (31, 1), (65, 1), (95, 1), (97, 1), (108, 1), (172, 1), (744, 1), (1580, 1), (3726, 1), (5673, 1), (5788, 1), (5794, 1), (6044, 1), (7036, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 2), (25, 1), (53, 1), (55, 1), (58, 1), (77, 1), (122, 1), (172, 1), (215, 1), (233, 1), (275, 1), (281, 1), (307, 1), (827, 1), (1149, 1), (1448, 1), (2242, 1), (4631, 1), (5467, 1), (9859, 1), (11250, 1), (11625, 1), (14272, 1), (14273, 1)], [(8, 1), (19, 1), (20, 2), (58, 1), (77, 1), (92, 1), (99, 1), (161, 1), (187, 1), (215, 1), (229, 1), (273, 1), (410, 1), (450, 1), (830, 1), (2359, 1), (2475, 1), (2914, 1), (4297, 1), (6514, 1)], [(8, 1), (23, 1), (77, 1), (96, 1), (185, 1), (193, 1), (226, 1), (242, 1), (301, 1), (1602, 1)], [(8, 1), (18, 1), (19, 3), (20, 8), (22, 1), (23, 1), (25, 1), (26, 1), (50, 5), (53, 9), (58, 1), (65, 1), (71, 1), (77, 2), (82, 1), (90, 1), (95, 2), (97, 1), (108, 1), (124, 1), (215, 2), (273, 1), (289, 1), (293, 2), (459, 1), (658, 1), (833, 1), (886, 1), (922, 1), (1249, 1), (1310, 1), (1467, 1), (3049, 5), (3677, 1), (3700, 1), (3804, 1), (3923, 1), (4402, 1), (5220, 1), (5339, 1), (5518, 1), (6904, 1), (9048, 1), (9677, 1), (9787, 1), (13274, 1), (14268, 1), (14274, 1)], [(8, 1), (50, 1), (124, 1), (185, 1), (268, 1), (301, 1)], [(8, 1), (18, 3), (19, 1), (20, 11), (22, 3), (25, 2), (28, 1), (31, 3), (50, 9), (53, 8), (58, 1), (71, 2), (77, 2), (82, 1), (90, 4), (95, 1), (111, 1), (175, 2), (185, 1), (190, 1), (195, 1), (215, 2), (246, 1), (269, 1), (347, 1), (420, 2), (448, 1), (452, 1), (525, 1), (537, 2), (538, 1), (744, 1), (756, 1), (796, 1), (828, 1), (829, 1), (830, 1), (897, 1), (1041, 1), (1248, 1), (1253, 1), (1308, 1), (1526, 1), (1596, 1), (1964, 1), (2151, 1), (3049, 2), (3294, 1), (3700, 1), (4402, 1), (4674, 1), (4840, 1), (5831, 1), (6064, 1), (6361, 1), (7181, 1), (8878, 1), (9047, 1), (10698, 1), (11641, 1), (14275, 1), (14276, 1), (14277, 1), (14278, 1)], [(8, 1), (19, 1), (20, 1), (50, 3), (53, 4), (95, 1), (99, 1), (108, 1), (117, 1), (172, 1), (232, 1), (796, 1), (1248, 1), (1308, 1), (1760, 2), (3049, 1), (3924, 1), (6064, 1), (6278, 1), (8731, 1), (13378, 1), (14279, 1), (14280, 1)], [(8, 1), (20, 1), (50, 1), (53, 4), (77, 1), (82, 1), (173, 1), (202, 1), (228, 1), (359, 1), (399, 1), (505, 1), (756, 1), (1253, 1), (2160, 1), (2681, 1), (6896, 1), (8923, 1)], [(8, 1), (20, 1), (25, 1), (31, 2), (37, 1), (53, 1), (55, 1), (58, 1), (65, 1), (77, 1), (516, 1), (777, 1), (834, 1), (1239, 1), (1720, 1), (1901, 1), (2336, 1), (2683, 1), (3054, 1), (5673, 1), (6352, 1), (6513, 2), (7533, 1), (8046, 1), (8786, 1), (9720, 1), (13242, 1), (13356, 1)], [(8, 1), (19, 2), (20, 2), (26, 1), (53, 2), (58, 1), (71, 2), (82, 1), (92, 1), (182, 1), (206, 1), (215, 1), (256, 1), (281, 2), (301, 1), (459, 1), (504, 1), (711, 1), (767, 1), (1392, 1), (1470, 2), (1685, 1), (4059, 1), (4402, 1), (5673, 1), (13349, 1), (14268, 1), (14281, 1)], [(8, 1), (37, 1), (77, 1), (185, 1), (3043, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (31, 1), (53, 2), (108, 1), (207, 1), (215, 1), (220, 1), (256, 1), (359, 1), (415, 1), (448, 1), (788, 1), (834, 1), (1348, 1), (2185, 1), (5054, 1), (5673, 1), (6402, 1), (13255, 1), (13360, 1), (14282, 1), (14283, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 3), (77, 2), (90, 2), (98, 1), (99, 1), (214, 1), (414, 1), (504, 1), (834, 1), (897, 1), (1092, 1), (1456, 1), (1955, 1), (2438, 1), (3318, 1), (3633, 1), (3923, 1), (4296, 1), (5788, 1), (11603, 1), (14284, 1), (14285, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (31, 1), (50, 2), (51, 1), (53, 5), (54, 1), (55, 1), (269, 1), (281, 1), (289, 1), (394, 1), (414, 2), (639, 1), (756, 1), (1253, 1), (1477, 1), (1580, 1), (1597, 1), (2240, 1), (2431, 1), (4528, 1), (8397, 1), (11603, 1), (12044, 1), (12709, 1), (14286, 1), (14287, 1), (14288, 1), (14289, 1), (14290, 1), (14291, 1)], [(8, 1), (20, 2), (53, 1), (65, 1), (95, 1), (278, 1), (551, 1), (834, 1), (1466, 2), (3478, 1), (4184, 1), (7375, 1), (14292, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (106, 1), (387, 1), (394, 1), (506, 1), (2265, 1), (4184, 1), (8287, 1), (14118, 1)], [(7, 1), (8, 1), (20, 6), (25, 1), (31, 1), (37, 1), (45, 1), (50, 4), (53, 5), (82, 1), (97, 1), (124, 1), (173, 1), (180, 1), (253, 1), (334, 1), (415, 1), (531, 1), (626, 1), (756, 1), (908, 1), (1253, 1), (1284, 1), (1299, 1), (1474, 1), (1483, 1), (1596, 1), (1613, 1), (1903, 1), (2197, 1), (2773, 1), (5065, 1), (6896, 1), (8973, 1), (10651, 1), (10708, 1), (14282, 1), (14293, 1), (14294, 1), (14295, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (21, 1), (23, 2), (31, 1), (50, 1), (53, 3), (55, 1), (65, 1), (82, 1), (90, 2), (97, 1), (185, 1), (203, 1), (273, 2), (365, 1), (414, 1), (587, 1), (705, 1), (743, 2), (756, 1), (791, 1), (834, 2), (884, 1), (1253, 1), (1597, 1), (1988, 1), (1999, 1), (2593, 1), (3129, 1), (3889, 1), (4184, 2), (5673, 1), (8379, 1), (10614, 1), (14126, 1), (14296, 1), (14297, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (31, 2), (50, 1), (53, 3), (55, 1), (65, 1), (90, 1), (91, 1), (95, 1), (108, 1), (122, 1), (172, 1), (187, 1), (214, 1), (263, 1), (353, 1), (407, 1), (415, 1), (441, 1), (506, 1), (675, 1), (744, 1), (829, 1), (1311, 1), (1417, 1), (5839, 1), (10614, 1), (14295, 1), (14298, 1), (14299, 1), (14300, 1)], [(8, 1), (50, 2), (53, 2), (95, 1), (98, 1), (111, 2), (124, 1), (126, 1), (185, 1), (418, 1), (1196, 1), (3049, 1), (3330, 1), (9047, 1)], [(8, 1), (20, 2), (30, 1), (31, 1), (58, 1), (65, 1), (72, 1), (77, 1), (90, 1), (109, 1), (122, 1), (174, 1), (217, 1), (225, 1), (233, 1), (2222, 1), (2291, 2), (2830, 1), (14301, 1)], [(8, 1), (20, 1), (25, 1), (65, 1), (77, 1), (185, 1), (269, 1), (365, 1), (407, 1), (452, 1), (551, 1), (2187, 1), (4366, 1), (8003, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (31, 2), (45, 3), (53, 1), (77, 1), (95, 1), (111, 2), (186, 1), (215, 1), (286, 1), (394, 1), (531, 1), (706, 1), (777, 1), (1296, 1), (1302, 1), (1702, 1), (2785, 1), (2830, 1), (3307, 1), (3506, 1), (9047, 1), (14302, 1), (14303, 1), (14304, 1), (14305, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (25, 1), (26, 1), (31, 2), (37, 2), (45, 1), (50, 2), (53, 1), (77, 2), (90, 1), (95, 1), (122, 1), (185, 1), (518, 1), (1377, 1), (2197, 1), (2515, 1), (2744, 1), (3299, 1), (5361, 1), (9852, 1), (14306, 1), (14307, 1), (14308, 1)], [(18, 1), (20, 4), (31, 1), (45, 1), (50, 2), (53, 1), (55, 1), (95, 1), (273, 1), (285, 1), (504, 1), (518, 1), (596, 1), (834, 1), (1293, 1), (1454, 1), (1714, 1), (2986, 1), (3491, 1), (5361, 1), (7823, 1), (14309, 1), (14310, 1)], [(8, 1), (18, 1), (20, 9), (22, 3), (25, 1), (31, 2), (50, 1), (53, 2), (58, 1), (65, 1), (71, 1), (74, 2), (90, 1), (95, 1), (206, 1), (214, 3), (215, 1), (225, 1), (246, 1), (256, 1), (282, 2), (285, 1), (307, 1), (324, 1), (415, 1), (452, 1), (489, 1), (516, 1), (531, 2), (645, 1), (670, 1), (834, 1), (894, 1), (904, 1), (999, 1), (1021, 1), (1133, 1), (1294, 1), (1329, 1), (1487, 1), (1897, 1), (2275, 1), (2551, 1), (2635, 1), (2650, 1), (3038, 1), (3901, 1), (3970, 1), (4652, 1), (5968, 1), (8771, 1), (8772, 1), (9494, 1), (14311, 1), (14312, 1)], [(8, 1), (20, 1), (25, 1), (45, 1), (173, 1), (1021, 1), (14069, 1), (14313, 1)], [(19, 3), (20, 2), (21, 2), (22, 1), (31, 1), (45, 1), (58, 2), (71, 1), (77, 3), (90, 2), (108, 1), (173, 1), (185, 1), (193, 1), (215, 2), (247, 1), (283, 1), (288, 1), (334, 1), (337, 1), (381, 1), (505, 1), (645, 1), (743, 1), (834, 1), (894, 1), (897, 1), (1347, 1), (1587, 1), (2553, 2), (2886, 1), (4652, 1), (5387, 1), (5409, 1), (6344, 1), (8074, 1), (8158, 1), (9763, 1), (14314, 1)], [(8, 1), (18, 1), (20, 5), (31, 1), (50, 2), (53, 1), (77, 1), (214, 1), (215, 1), (275, 1), (313, 1), (420, 1), (428, 1), (497, 1), (711, 1), (894, 2), (1139, 1), (1527, 1), (1716, 1), (2322, 1), (2523, 1), (2556, 1), (2820, 1), (3752, 1), (4251, 1), (4977, 1), (9700, 1), (14315, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 2), (31, 1), (50, 2), (53, 1), (58, 1), (77, 2), (90, 2), (95, 1), (124, 1), (215, 1), (217, 1), (225, 1), (301, 1), (833, 1), (1021, 1), (1119, 1), (1640, 1), (1773, 1), (2362, 1), (2409, 1), (2538, 1), (3034, 1), (14316, 1), (14317, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 2), (34, 1), (50, 3), (53, 3), (90, 1), (122, 1), (276, 1), (419, 1), (506, 1), (1470, 1), (1589, 3), (1747, 1), (1751, 3), (2336, 1), (2389, 1), (3318, 1), (4033, 1), (7848, 1), (9993, 1), (14318, 1)], [(20, 1), (247, 1), (645, 1), (1583, 1)], [(25, 1), (53, 1), (95, 1), (247, 1), (337, 1), (5045, 1), (5668, 1), (6936, 1)], [(8, 1), (20, 2), (278, 1), (282, 1), (357, 1), (399, 1), (1336, 1), (2322, 1), (6982, 1)], [(8, 1), (20, 2), (31, 1), (50, 1), (56, 1), (58, 1), (185, 1), (278, 1), (357, 1), (654, 1), (827, 1), (1336, 1), (3476, 1)], [(8, 1), (22, 1), (53, 2), (193, 2), (1021, 1), (2515, 1), (2544, 1), (2775, 1), (3197, 1), (4841, 1), (9162, 1), (13507, 1)], [(8, 1), (20, 3), (25, 1), (50, 1), (53, 2), (95, 1), (117, 1), (232, 1), (247, 1), (334, 2), (516, 1), (551, 1), (645, 1), (2421, 1), (4942, 1), (6386, 1), (10074, 1), (14319, 1)], [(8, 1), (18, 1), (31, 1), (37, 1), (50, 1), (229, 1), (4386, 1), (5848, 1), (14320, 1)], [(19, 1), (25, 1), (89, 1), (206, 1), (247, 1), (266, 1), (288, 2), (301, 1), (487, 1), (2126, 1), (2241, 1)], [(8, 1), (20, 1), (117, 1), (214, 1), (232, 1), (247, 1), (288, 1), (516, 1), (1520, 1), (2421, 1), (3319, 1), (9225, 1), (10074, 1), (14321, 1)], [(20, 1), (50, 1), (53, 1), (95, 1), (215, 1), (247, 1), (288, 1), (587, 1), (670, 1), (1520, 1)], [(1544, 1), (14322, 1)], [(8, 1), (24, 1), (14323, 1)], [(31, 1), (53, 1), (247, 1), (5482, 1), (13811, 1)], [(53, 1), (247, 1), (287, 1), (496, 1), (2070, 1), (10273, 1)], [(8, 1), (24, 1), (32, 1), (172, 1), (450, 1), (587, 1), (3181, 1), (3301, 1), (11964, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (24, 1), (26, 1), (31, 2), (50, 1), (53, 1), (58, 1), (82, 1), (95, 1), (225, 1), (482, 1), (516, 1), (525, 1), (778, 1), (1102, 1), (2005, 1), (3067, 1), (3937, 1), (4235, 1), (8342, 1), (11861, 1), (14237, 1), (14324, 1), (14325, 1)], [(8, 1), (77, 1), (122, 1), (1702, 1), (9524, 1)], [(7, 1), (8, 1), (20, 3), (25, 3), (31, 1), (50, 1), (53, 4), (55, 1), (58, 2), (95, 1), (124, 2), (214, 1), (228, 1), (246, 1), (293, 1), (516, 1), (680, 1), (767, 1), (1010, 1), (1097, 1), (1122, 1), (1324, 1), (1940, 1), (5012, 1), (6830, 1), (7438, 1), (7899, 1), (10234, 1), (11390, 1), (13581, 1), (14326, 1), (14327, 1), (14328, 1), (14329, 1), (14330, 1)], [(8, 1), (20, 3), (24, 1), (25, 3), (50, 2), (53, 2), (58, 1), (90, 1), (96, 1), (109, 1), (197, 1), (293, 1), (587, 1), (709, 1), (778, 1), (1097, 1), (1470, 1), (1890, 1), (1940, 1), (2772, 2), (5012, 2), (5162, 1), (6155, 1), (8179, 1), (8441, 1), (9554, 1), (14331, 1), (14332, 1), (14333, 2)], [(8, 1), (25, 1), (53, 1), (69, 1), (77, 1), (90, 1), (109, 1), (182, 1), (286, 1), (709, 1), (1665, 2), (1668, 1), (4926, 1), (7225, 1)], [(7, 1), (8, 1), (20, 4), (25, 2), (31, 1), (50, 2), (53, 4), (90, 1), (281, 1), (334, 1), (365, 1), (414, 2), (482, 1), (983, 1), (1057, 1), (1526, 1), (1661, 1), (1883, 1), (2475, 1), (2977, 1), (3053, 1), (4214, 1), (4534, 1), (5012, 1), (7480, 1), (12122, 1), (14334, 1), (14335, 1), (14336, 1), (14337, 1)], [(18, 1), (25, 1), (117, 1), (232, 1), (247, 1), (351, 1), (407, 2), (1614, 1), (4381, 1), (13015, 1)], [(8, 1), (20, 1), (24, 1), (31, 2), (37, 2), (53, 1), (65, 2), (111, 1), (365, 1), (1010, 1), (1097, 1), (2401, 1), (6463, 1), (13033, 1), (14338, 1), (14339, 1), (14340, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (45, 1), (50, 2), (53, 2), (58, 1), (91, 1), (95, 1), (172, 1), (173, 1), (256, 2), (281, 1), (285, 1), (347, 1), (359, 1), (407, 1), (504, 1), (505, 1), (711, 1), (1520, 1), (1614, 1), (1685, 1), (1850, 1), (2159, 1), (5625, 1), (14341, 1), (14342, 1), (14343, 1), (14344, 1)], [(20, 1), (50, 1), (168, 1), (247, 1), (1583, 1), (11241, 1), (14345, 1)], [(8, 1), (53, 1), (77, 1), (82, 1), (95, 1), (97, 1), (109, 1), (1081, 1), (5842, 1)], [(8, 1), (53, 1), (77, 1), (185, 1), (2862, 1), (3043, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (26, 1), (53, 1), (58, 1), (77, 1), (215, 1), (777, 1), (6786, 1), (12405, 1), (13670, 1), (14346, 1), (14347, 1), (14348, 1)], [(7, 1), (20, 6), (21, 1), (22, 1), (25, 1), (31, 2), (50, 1), (53, 7), (55, 1), (58, 1), (65, 3), (77, 1), (95, 1), (109, 1), (111, 1), (117, 1), (232, 1), (247, 1), (305, 1), (310, 1), (392, 1), (420, 1), (448, 1), (488, 1), (540, 1), (645, 1), (705, 1), (753, 1), (778, 2), (1012, 1), (1245, 1), (1526, 1), (1702, 1), (1940, 1), (2432, 1), (2474, 1), (2884, 1), (3426, 1), (4004, 1), (4968, 1), (5851, 1), (7167, 1), (7255, 1), (7664, 1), (9394, 1), (9541, 1), (13084, 1), (13289, 1), (13598, 1), (14349, 1), (14350, 1), (14351, 1), (14352, 1), (14353, 1), (14354, 1), (14355, 1), (14356, 1), (14357, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (53, 1), (54, 1), (58, 1), (108, 1), (215, 1), (328, 1), (331, 1), (355, 1), (420, 1), (450, 1), (609, 1), (777, 2), (1380, 1), (1499, 1), (1877, 1), (2184, 1), (2523, 1), (2978, 1), (3186, 1), (5753, 1), (6385, 1), (7344, 1), (8556, 1), (10048, 1), (10860, 1), (11981, 1), (14358, 1)], [(20, 1), (22, 2), (25, 1), (31, 1), (32, 1), (50, 4), (51, 1), (53, 3), (82, 1), (117, 3), (168, 1), (232, 3), (247, 1), (260, 1), (324, 3), (328, 2), (351, 1), (414, 1), (812, 1), (1010, 1), (1884, 1), (2613, 1), (3841, 1), (6970, 1), (8304, 1), (12236, 1), (14359, 1), (14360, 1), (14361, 1), (14362, 1)], [(117, 1), (232, 1), (247, 1), (351, 1), (14363, 1)], [(8, 1), (18, 3), (19, 2), (20, 2), (26, 1), (31, 2), (45, 3), (53, 1), (56, 1), (95, 1), (117, 1), (172, 1), (217, 1), (232, 1), (334, 1), (505, 1), (830, 1), (983, 1), (1529, 1), (3506, 1), (4789, 1), (5735, 1), (6658, 1), (6786, 1), (6844, 1), (10584, 1), (13384, 1)], [(18, 1), (20, 1), (31, 1), (99, 1), (1580, 1), (1714, 1), (1715, 1), (5288, 1), (11147, 1), (14364, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (53, 1), (65, 1), (91, 1), (214, 1), (269, 1), (323, 1), (351, 1), (415, 1), (600, 1), (833, 2), (1348, 1), (1878, 1), (2048, 1), (11147, 1), (12569, 1), (14365, 1), (14366, 1), (14367, 1)], [(1544, 1), (14368, 1)], [(8, 1), (24, 1), (14369, 1)], [(8, 1), (19, 1), (20, 1), (26, 1), (50, 1), (53, 2), (54, 1), (82, 1), (90, 1), (122, 1), (172, 1), (173, 1), (217, 1), (743, 1), (1667, 1), (2660, 1), (3419, 1), (11131, 1), (14324, 1), (14370, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (53, 2), (77, 1), (82, 1), (95, 1), (97, 1), (281, 1), (289, 1), (346, 1), (392, 1), (452, 1), (654, 1), (756, 1), (904, 1), (1253, 1), (2197, 1), (3758, 1), (4151, 1), (8399, 1), (8693, 1), (8703, 1), (8714, 1), (14371, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (26, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 3), (71, 1), (72, 1), (77, 1), (90, 3), (95, 1), (225, 1), (328, 1), (414, 1), (452, 1), (527, 1), (581, 1), (706, 1), (1139, 1), (1470, 1), (1596, 1), (2035, 1), (2184, 1), (3323, 1), (3355, 1), (5336, 1), (9462, 1), (9702, 1)], [(8, 1), (18, 1), (20, 6), (25, 4), (30, 1), (31, 1), (45, 1), (53, 1), (69, 1), (90, 2), (109, 1), (111, 1), (112, 1), (203, 1), (365, 1), (441, 1), (448, 1), (456, 1), (704, 1), (767, 1), (1760, 1), (2036, 1), (2669, 2), (3401, 1), (3524, 1), (5708, 1), (8592, 1), (9516, 1), (10664, 1), (11468, 1), (14372, 1), (14373, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 3), (37, 1), (40, 1), (50, 1), (53, 4), (65, 1), (90, 2), (173, 2), (193, 1), (203, 1), (206, 1), (215, 1), (225, 1), (228, 1), (269, 1), (278, 1), (289, 1), (293, 1), (300, 1), (338, 1), (353, 1), (428, 2), (654, 1), (703, 1), (704, 1), (1041, 1), (1287, 1), (1305, 1), (1487, 1), (1594, 1), (1696, 1), (1820, 1), (2034, 1), (2120, 1), (2127, 1), (2137, 1), (2320, 1), (3061, 1), (3453, 1), (4058, 1), (4446, 1), (6545, 1), (7486, 1), (7895, 1), (8451, 1), (8819, 1), (10472, 1), (13835, 1), (14374, 1), (14375, 1), (14376, 1), (14377, 1), (14378, 1)], [(18, 1), (19, 1), (20, 3), (82, 1), (90, 1), (95, 1), (99, 1), (117, 1), (173, 1), (193, 1), (232, 1), (256, 1), (897, 1), (1326, 1), (1336, 1), (1714, 1), (1760, 1), (3022, 1), (6213, 1), (7295, 1), (8585, 1), (14379, 1), (14380, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (25, 1), (26, 1), (53, 2), (77, 2), (328, 1), (706, 1), (763, 1), (1057, 1), (2070, 1), (2978, 1), (3013, 1), (4636, 1), (5011, 1), (5754, 1), (14381, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (50, 1), (58, 2), (71, 1), (77, 1), (95, 1), (414, 1), (504, 1), (658, 1), (1611, 1), (2064, 1), (3121, 1), (3181, 1), (6941, 1), (11871, 1), (12753, 1)], [(7, 1), (8, 1), (18, 5), (19, 2), (20, 4), (22, 1), (25, 1), (31, 1), (45, 1), (50, 2), (53, 2), (55, 1), (77, 1), (90, 1), (95, 1), (108, 1), (117, 2), (185, 2), (215, 3), (232, 1), (260, 1), (263, 1), (269, 1), (301, 1), (387, 1), (459, 1), (525, 1), (706, 1), (744, 1), (1024, 1), (1241, 1), (1441, 1), (1475, 1), (1823, 1), (2003, 1), (2660, 1), (2769, 1), (3419, 1), (3696, 1), (3700, 1), (4920, 1), (5447, 1), (5839, 1), (6213, 1), (9163, 1), (11422, 1), (11964, 1), (13646, 1), (14221, 1), (14382, 1)], [(7, 1), (8, 1), (20, 2), (21, 1), (24, 1), (25, 1), (26, 1), (31, 1), (50, 1), (53, 4), (54, 1), (58, 1), (71, 1), (85, 1), (90, 1), (95, 1), (117, 2), (186, 1), (232, 2), (293, 1), (305, 1), (334, 1), (365, 1), (410, 1), (601, 1), (632, 1), (697, 1), (706, 1), (709, 1), (827, 1), (1041, 1), (1077, 1), (1350, 1), (1596, 1), (1824, 1), (5429, 1), (5754, 1), (6052, 1), (6129, 1), (12753, 1), (14383, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (25, 1), (50, 2), (53, 7), (55, 1), (58, 1), (65, 3), (90, 2), (109, 2), (117, 2), (197, 1), (232, 2), (317, 1), (328, 2), (331, 1), (414, 1), (435, 1), (516, 2), (632, 1), (706, 2), (777, 2), (1021, 1), (1069, 1), (1259, 1), (1586, 1), (1694, 1), (2197, 1), (2239, 1), (2581, 1), (3743, 1), (4544, 1), (4963, 1), (5314, 1), (5743, 1), (6129, 1), (6900, 1), (9220, 1), (12008, 1), (12453, 1), (13117, 1), (14384, 1), (14385, 1), (14386, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (53, 1), (54, 2), (58, 1), (185, 1), (450, 1), (2344, 1), (2348, 1), (2820, 1), (3013, 1), (3394, 1), (3455, 1), (6261, 1), (6364, 1), (6484, 1)], [(8, 1), (32, 1), (53, 1), (256, 1), (307, 1), (777, 1), (2064, 1), (2360, 1), (4225, 1), (9516, 1), (14047, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (53, 1), (54, 1), (124, 2), (281, 1), (365, 1), (516, 1), (580, 1), (1041, 1), (1758, 1), (2027, 1), (3398, 1), (5704, 1), (8192, 1), (8413, 1), (9953, 1), (10339, 1), (14387, 1), (14388, 1)], [(8, 1), (20, 1), (25, 1), (45, 1), (70, 1), (109, 1), (126, 1), (185, 1), (186, 1), (426, 1), (428, 1), (1485, 1), (2866, 1), (4729, 1), (6315, 1), (8378, 1), (14389, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (21, 2), (25, 2), (50, 1), (53, 6), (55, 1), (58, 1), (65, 4), (95, 1), (117, 2), (173, 2), (174, 1), (185, 1), (232, 2), (261, 1), (269, 1), (293, 1), (328, 1), (337, 1), (414, 2), (415, 1), (428, 2), (627, 1), (632, 1), (706, 1), (725, 1), (777, 2), (897, 1), (1041, 1), (1042, 1), (1069, 1), (1350, 1), (1395, 1), (1487, 1), (1520, 1), (1526, 1), (1557, 1), (1596, 1), (1694, 1), (1702, 1), (2064, 1), (2075, 1), (2296, 1), (2354, 1), (2862, 1), (3061, 1), (3584, 1), (4142, 1), (4179, 1), (4581, 1), (4787, 1), (5482, 1), (5496, 1), (5743, 1), (5963, 1), (7295, 1), (14206, 1), (14390, 1), (14391, 1), (14392, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (25, 2), (31, 2), (50, 1), (53, 3), (54, 1), (58, 1), (117, 1), (122, 1), (232, 1), (293, 1), (328, 1), (580, 1), (706, 1), (903, 1), (1772, 1), (2193, 1), (2401, 1), (2652, 1), (5426, 1), (5704, 1), (14369, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (25, 3), (31, 1), (53, 1), (55, 2), (64, 2), (77, 1), (90, 1), (97, 1), (226, 1), (245, 1), (328, 1), (339, 1), (357, 1), (387, 1), (434, 1), (587, 1), (678, 1), (706, 2), (886, 1), (1102, 1), (1163, 1), (1824, 1), (2145, 1), (2417, 1), (2485, 1), (3606, 1), (4417, 1), (6315, 1), (6503, 1), (7088, 1), (14393, 1), (14394, 1)], [(8, 1), (20, 1), (37, 1), (53, 1), (352, 1), (357, 1), (1076, 1), (1763, 1), (2817, 1), (3319, 1)], [(8, 1), (20, 1), (32, 1), (53, 1), (56, 1), (97, 1), (117, 1), (185, 1), (225, 1), (232, 1), (281, 1), (658, 1), (706, 1), (1630, 1), (3426, 1), (3553, 1), (4427, 1), (4890, 1), (8720, 1)], [(8, 1), (20, 3), (22, 2), (25, 3), (31, 2), (50, 2), (53, 1), (54, 1), (55, 1), (65, 1), (77, 1), (90, 1), (168, 1), (185, 1), (328, 2), (405, 1), (407, 1), (442, 1), (680, 1), (920, 1), (1091, 1), (1139, 1), (1159, 1), (1323, 1), (1587, 1), (1867, 1), (1879, 1), (3741, 1), (4310, 1), (4841, 1), (5432, 1), (6575, 1), (8173, 1), (9554, 1), (10282, 1), (11467, 1), (11617, 1), (14395, 1), (14396, 1), (14397, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (91, 1), (111, 1), (117, 1), (217, 1), (228, 1), (232, 1), (252, 1), (285, 1), (310, 1), (352, 2), (450, 1), (632, 1), (691, 1), (812, 1), (1139, 2), (1571, 1), (1960, 1), (2324, 1), (2348, 1), (3266, 1), (4106, 1), (10147, 1), (10241, 1), (14398, 1)], [(8, 1), (19, 3), (20, 1), (22, 2), (29, 2), (53, 2), (91, 1), (94, 1), (109, 1), (117, 1), (252, 1), (415, 1), (420, 2), (450, 1), (709, 1), (711, 1), (726, 1), (903, 1), (1001, 1), (1071, 1), (1106, 1), (1129, 1), (1380, 1), (4851, 1), (4867, 1), (5492, 1), (6945, 1), (10733, 1), (11077, 1), (14399, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (22, 2), (25, 1), (45, 1), (50, 1), (53, 5), (90, 1), (108, 1), (109, 1), (117, 1), (172, 1), (173, 1), (252, 1), (285, 1), (414, 1), (420, 1), (428, 1), (709, 1), (726, 1), (967, 1), (1415, 1), (1529, 1), (1572, 1), (1665, 1), (1702, 1), (1878, 1), (2064, 1), (2228, 1), (2469, 1), (2646, 2), (2789, 1), (3468, 1), (4601, 1), (4612, 1), (4759, 1), (6945, 1), (8104, 1), (10127, 1), (10713, 1), (10886, 1), (11518, 1), (12056, 1), (13559, 1), (14327, 1), (14400, 1), (14401, 1)], [(247, 1), (706, 1), (4942, 1)], [(19, 1), (20, 1), (25, 2), (50, 1), (53, 1), (77, 1), (82, 1), (182, 1), (269, 1), (352, 1), (357, 1), (531, 1), (885, 1), (1178, 1), (1966, 1), (4358, 1), (4386, 1), (6716, 1), (7688, 1), (8862, 1), (11042, 1)], [(64, 1), (1178, 1), (3961, 1), (14402, 1)], [(8, 1), (18, 1), (53, 1), (65, 2), (109, 1), (317, 1), (706, 1), (824, 1), (1042, 1), (2925, 1), (14229, 1)], [(64, 1), (1714, 1), (4939, 1)], [(8, 1), (20, 4), (32, 1), (45, 1), (65, 1), (90, 1), (109, 1), (117, 1), (232, 1), (1163, 1), (1377, 1), (1529, 1), (1856, 1), (2013, 1), (2925, 1), (2985, 1), (3585, 1), (3782, 1), (5053, 1), (5719, 1), (5738, 1), (6315, 1), (12074, 1), (14403, 1)], [(18, 1), (64, 1), (69, 1), (185, 1), (281, 1), (580, 1), (601, 1), (645, 1), (658, 1), (946, 1), (1296, 1), (1323, 1), (1324, 1), (2633, 1), (3020, 1), (4326, 1), (7288, 1), (13994, 1)], [(19, 1), (20, 2), (25, 1), (53, 1), (64, 1), (247, 1), (310, 1), (414, 1), (434, 1), (949, 1), (1159, 1), (1327, 1), (1328, 1), (1330, 1), (1608, 1), (4568, 1), (5664, 1)], [(8, 1), (20, 1), (25, 1), (64, 1), (645, 1), (1296, 1), (3631, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (32, 1), (45, 1), (90, 1), (247, 1), (285, 1), (299, 1), (697, 1), (702, 1), (842, 1), (1580, 1), (2462, 1), (2543, 1), (5664, 1), (10074, 1), (14404, 1)], [(20, 1), (25, 1), (50, 1), (247, 1), (645, 1), (1628, 1), (4942, 2), (8735, 1)], [(37, 1), (214, 1), (247, 1), (288, 1), (324, 1), (1348, 1), (2400, 1), (5185, 1), (8417, 1), (14405, 1)], [(20, 1), (31, 1), (53, 1), (66, 1), (82, 1), (111, 1), (225, 1), (256, 1), (414, 1), (1041, 1), (1196, 1), (1571, 1), (1594, 1), (4638, 1), (7149, 1), (10583, 1), (10781, 1), (14406, 1)], [(1544, 1), (14407, 1)], [(8, 1), (24, 1), (117, 1), (232, 1), (12621, 1), (14408, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (31, 1), (53, 3), (75, 1), (256, 1), (414, 1), (426, 1), (709, 2), (833, 1), (895, 1), (996, 1), (1627, 1), (2911, 1), (5664, 2), (6129, 1), (10064, 1), (14409, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (25, 2), (53, 2), (65, 2), (92, 1), (95, 1), (117, 1), (232, 1), (317, 1), (639, 1), (709, 1), (913, 1), (1159, 1), (1481, 1), (2362, 1), (2482, 1), (3040, 1), (7587, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 3), (25, 1), (53, 1), (54, 1), (82, 1), (166, 1), (215, 1), (293, 1), (301, 1), (316, 1), (415, 1), (448, 1), (1043, 1), (1159, 1), (1322, 1), (1348, 1), (3701, 1), (5054, 1), (5100, 1), (5999, 1), (6129, 1), (6281, 1), (6683, 1)], [(8, 1), (19, 1), (34, 1), (53, 1), (54, 1), (71, 1), (96, 1), (241, 1), (285, 1), (353, 1), (753, 1), (12953, 1), (12960, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (31, 1), (37, 1), (50, 3), (53, 5), (55, 2), (58, 2), (71, 1), (77, 1), (90, 1), (97, 1), (164, 1), (172, 1), (197, 1), (233, 1), (325, 1), (355, 1), (516, 1), (756, 1), (827, 1), (920, 1), (1129, 1), (1325, 1), (1517, 1), (1522, 2), (3035, 1), (4467, 1), (6541, 1), (6798, 1), (7632, 1), (8172, 1), (9239, 1), (12953, 1), (14410, 1), (14411, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (53, 2), (55, 1), (95, 1), (193, 1), (214, 1), (260, 1), (268, 1), (281, 1), (415, 1), (583, 1), (1129, 1), (1937, 1), (3121, 1), (7304, 1), (11584, 1), (12491, 1), (13864, 1), (14307, 1), (14412, 1)], [(7, 1), (8, 1), (19, 2), (22, 1), (24, 1), (50, 1), (53, 3), (54, 1), (71, 1), (97, 1), (117, 2), (193, 1), (229, 1), (232, 2), (709, 1), (1150, 1), (1159, 1), (1361, 1), (2344, 1), (2362, 1), (3040, 1), (6129, 1), (10908, 1), (12953, 1), (14408, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (22, 2), (25, 1), (31, 2), (45, 2), (50, 1), (53, 4), (54, 1), (58, 1), (65, 1), (75, 1), (90, 1), (109, 1), (117, 3), (215, 1), (232, 3), (256, 1), (310, 1), (373, 2), (460, 1), (632, 1), (710, 1), (827, 2), (902, 1), (1037, 1), (1159, 1), (1277, 1), (1322, 1), (1325, 1), (1329, 1), (1487, 1), (1627, 1), (1732, 1), (2368, 1), (2786, 1), (3040, 1), (3791, 1), (4145, 1), (4456, 1), (4485, 1), (6129, 1), (6256, 1), (7286, 1), (7520, 1), (7839, 1), (9172, 1), (12725, 1), (14413, 1), (14414, 1), (14415, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (50, 1), (53, 2), (54, 1), (85, 1), (90, 2), (117, 1), (122, 1), (232, 1), (347, 1), (414, 1), (1159, 1), (1325, 1), (1363, 1), (2406, 1), (2916, 1), (5533, 1), (6129, 1), (12814, 1), (14408, 1), (14416, 1), (14417, 1), (14418, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (25, 5), (45, 1), (50, 1), (53, 3), (54, 1), (55, 1), (65, 1), (112, 1), (117, 1), (173, 1), (232, 1), (286, 1), (365, 1), (373, 1), (405, 1), (428, 1), (531, 1), (702, 1), (708, 1), (709, 1), (1010, 1), (1102, 2), (1350, 1), (1377, 1), (1506, 1), (1528, 1), (1824, 1), (2036, 1), (4004, 1), (5031, 1), (5169, 1), (5792, 1), (6129, 1), (9744, 1), (10614, 1), (10820, 1), (11690, 1), (12984, 1), (14419, 1), (14420, 1), (14421, 1), (14422, 1)], [(7, 1), (8, 1), (37, 1), (185, 1), (268, 1), (301, 1), (792, 1), (921, 1), (4465, 1), (14423, 1)], [(7, 3), (8, 1), (10, 1), (18, 1), (19, 3), (20, 5), (22, 2), (25, 1), (50, 3), (53, 7), (55, 1), (58, 1), (65, 1), (71, 2), (92, 1), (108, 1), (112, 1), (117, 1), (185, 1), (193, 1), (215, 1), (232, 1), (256, 1), (285, 2), (365, 1), (373, 2), (443, 1), (448, 2), (452, 1), (460, 1), (531, 1), (697, 1), (709, 1), (782, 1), (829, 1), (996, 1), (1041, 1), (1042, 1), (1102, 1), (1106, 1), (1159, 2), (1262, 1), (1322, 1), (1342, 1), (1381, 1), (1392, 1), (1458, 1), (1520, 1), (1627, 1), (2036, 1), (2393, 1), (2515, 1), (2744, 1), (2785, 1), (3114, 1), (3594, 1), (3923, 1), (5788, 1), (6129, 1), (6274, 1), (7208, 1), (8510, 1), (9693, 1), (10752, 1), (11349, 1), (12213, 1), (13894, 1), (14376, 1), (14408, 1), (14424, 1), (14425, 1), (14426, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (25, 2), (32, 1), (50, 1), (53, 2), (54, 1), (82, 1), (185, 1), (193, 1), (256, 1), (415, 1), (418, 1), (452, 1), (516, 1), (654, 1), (813, 1), (897, 1), (1478, 1), (1702, 1), (2036, 1), (2265, 1), (5368, 1), (9441, 1), (10085, 1), (10118, 1), (14427, 1), (14428, 1), (14429, 1)], [(8, 1), (18, 2), (20, 2), (31, 2), (37, 1), (50, 1), (53, 1), (54, 1), (90, 1), (117, 1), (186, 1), (232, 1), (260, 1), (373, 1), (505, 1), (531, 1), (645, 1), (885, 1), (1139, 1), (1474, 1), (2096, 1), (2168, 1), (4033, 1), (5250, 1), (11987, 1), (14408, 1), (14430, 1), (14431, 1), (14432, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (36, 1), (37, 1), (45, 1), (54, 1), (55, 1), (645, 1), (777, 1), (1485, 1), (2691, 1), (2977, 1), (3121, 1), (3350, 1), (3398, 1), (8387, 1), (9849, 1), (14433, 1), (14434, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (28, 1), (30, 1), (45, 1), (50, 2), (53, 1), (65, 2), (97, 1), (126, 1), (174, 1), (186, 1), (414, 1), (459, 1), (703, 1), (1810, 1), (2163, 1), (3361, 1), (5498, 1), (6984, 1), (7031, 1), (11334, 1), (13721, 1), (14435, 1), (14436, 1)], [(8, 1), (20, 2), (31, 1), (45, 1), (54, 1), (126, 1), (261, 1), (338, 1), (5566, 1), (10795, 1), (14437, 1)], [(20, 1), (117, 1), (173, 1), (185, 1), (215, 1), (217, 1), (232, 1), (241, 1), (247, 1), (347, 2), (658, 1), (763, 1), (1198, 1), (1569, 1), (1627, 1), (3652, 1), (4551, 1), (7295, 1)], [(50, 1), (53, 2), (65, 2), (90, 1), (117, 2), (173, 1), (174, 1), (232, 2), (434, 1), (772, 1), (1178, 1), (2916, 1), (3786, 1), (12620, 1), (12622, 1), (14438, 1), (14439, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (50, 1), (53, 3), (65, 1), (226, 1), (399, 1), (420, 1), (448, 1), (526, 1), (645, 1), (772, 1), (1159, 1), (1342, 1), (1506, 1), (1667, 1), (1884, 1), (2847, 1), (3389, 1), (6129, 1), (7243, 1), (7295, 1), (12620, 1), (12622, 1), (14408, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 2), (53, 2), (54, 1), (58, 1), (69, 1), (90, 1), (96, 1), (185, 1), (347, 1), (599, 1), (777, 1), (903, 1), (1607, 1), (2017, 1), (2553, 1), (4145, 1), (5486, 1), (8815, 1), (11806, 1), (11815, 1), (14408, 1), (14438, 1)], [(54, 1), (185, 1), (392, 1), (1884, 1), (3000, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 7), (22, 2), (31, 2), (36, 1), (45, 1), (50, 4), (53, 4), (54, 1), (55, 1), (65, 2), (71, 1), (97, 2), (109, 1), (173, 2), (217, 2), (256, 1), (334, 1), (347, 2), (399, 1), (450, 1), (509, 1), (697, 1), (896, 1), (1001, 1), (1139, 1), (1498, 1), (1859, 1), (2292, 1), (2345, 1), (2560, 1), (2744, 1), (2758, 1), (3320, 1), (3726, 1), (4192, 1), (4199, 1), (4442, 1), (4602, 1), (4960, 1), (6385, 1), (6447, 1), (6877, 1), (6915, 1), (7088, 1), (9593, 1), (9732, 1), (10052, 1), (12534, 1), (14440, 1), (14441, 1), (14442, 1), (14443, 1), (14444, 1)], [(8, 1), (18, 2), (19, 1), (20, 7), (25, 1), (30, 1), (53, 1), (55, 1), (65, 2), (75, 1), (90, 1), (108, 2), (117, 1), (126, 1), (173, 2), (215, 1), (232, 1), (347, 1), (1131, 1), (1139, 1), (1361, 1), (1377, 1), (1393, 1), (1488, 1), (1498, 1), (1656, 1), (1975, 1), (2096, 1), (2440, 1), (2847, 1), (4580, 1), (6233, 1), (6673, 1), (6770, 1), (7362, 1), (10583, 1), (11535, 1), (14293, 1), (14408, 1), (14440, 1), (14445, 1), (14446, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (30, 1), (31, 1), (45, 1), (50, 2), (53, 1), (85, 2), (117, 1), (232, 1), (256, 1), (281, 1), (405, 1), (530, 1), (709, 1), (1238, 1), (1668, 1), (3061, 1), (3192, 1), (9394, 1), (9474, 1), (14447, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (36, 1), (53, 2), (215, 1), (302, 1), (1325, 1), (1377, 1), (1963, 1), (2006, 1), (3010, 1), (3867, 1), (4251, 1)], [(8, 1), (20, 1), (25, 1), (36, 1), (37, 1), (45, 1), (50, 3), (53, 3), (65, 1), (173, 1), (215, 1), (365, 1), (753, 1), (1377, 1), (1651, 1), (1909, 1), (2258, 1), (3550, 1), (12312, 1), (14448, 1), (14449, 1), (14450, 1), (14451, 1)], [(8, 1), (19, 1), (20, 5), (24, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 5), (53, 5), (55, 2), (97, 1), (173, 1), (185, 1), (206, 1), (302, 1), (354, 1), (487, 1), (531, 1), (1278, 1), (1506, 1), (1849, 1), (1902, 1), (2071, 1), (2276, 1), (3506, 1), (3742, 1), (4600, 1), (5555, 1), (5837, 1), (6255, 1), (7056, 1), (8303, 1), (10578, 1), (10715, 1), (10795, 1), (12849, 1), (13855, 1), (14398, 1), (14452, 1)], [(8, 1), (20, 1), (30, 1), (50, 1), (459, 1), (711, 1), (910, 1), (7669, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (21, 1), (22, 1), (25, 2), (30, 2), (31, 3), (37, 2), (45, 1), (50, 2), (53, 5), (54, 3), (82, 1), (85, 1), (90, 2), (117, 1), (172, 1), (173, 2), (185, 1), (195, 1), (201, 1), (209, 1), (215, 1), (217, 1), (232, 1), (256, 1), (285, 1), (289, 1), (405, 1), (420, 1), (608, 1), (645, 1), (709, 2), (744, 1), (763, 1), (1275, 1), (1325, 1), (1354, 1), (1613, 1), (2006, 1), (2061, 1), (2242, 1), (2272, 1), (2391, 1), (2883, 1), (4033, 1), (4290, 1), (4442, 1), (5409, 1), (5544, 2), (5788, 1), (6346, 1), (6464, 1), (11655, 1), (12984, 1), (14453, 1), (14454, 1), (14455, 1), (14456, 1), (14457, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (25, 1), (26, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 3), (54, 1), (82, 1), (90, 1), (91, 1), (109, 1), (173, 1), (193, 1), (241, 1), (281, 1), (285, 1), (302, 1), (399, 1), (504, 1), (608, 1), (645, 1), (709, 1), (711, 1), (772, 1), (792, 1), (1325, 1), (1506, 1), (2344, 1), (2348, 1), (5710, 1), (6097, 1), (6982, 1), (14458, 1)], [(8, 1), (19, 1), (36, 1), (45, 1), (54, 1), (740, 1), (3030, 1), (4299, 1), (9591, 1)], [(8, 1), (19, 2), (20, 1), (22, 1), (50, 1), (53, 2), (58, 1), (71, 1), (90, 2), (96, 1), (111, 1), (161, 1), (173, 1), (273, 1), (285, 2), (293, 1), (302, 2), (347, 1), (426, 1), (697, 1), (709, 1), (711, 1), (1685, 1), (3043, 1), (4556, 1), (4778, 1), (5674, 1), (14459, 1), (14460, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 3), (24, 1), (25, 2), (37, 1), (40, 1), (45, 2), (50, 1), (53, 4), (54, 2), (58, 2), (71, 1), (72, 1), (75, 1), (85, 1), (90, 2), (108, 1), (111, 1), (173, 2), (185, 1), (193, 1), (215, 1), (256, 1), (347, 1), (527, 1), (605, 1), (743, 1), (833, 1), (884, 1), (1325, 1), (1911, 1), (2006, 1), (2178, 1), (2716, 1), (3110, 1), (3257, 1), (3934, 1), (4442, 1), (4666, 1), (6436, 1), (6438, 1), (8307, 1), (10265, 1), (10646, 1), (12369, 1), (14417, 1), (14461, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (24, 1), (25, 1), (30, 2), (31, 1), (45, 1), (50, 1), (91, 1), (178, 1), (215, 1), (275, 1), (307, 1), (448, 1), (2076, 1), (4081, 1), (5199, 1), (5208, 1), (5686, 1), (6090, 1), (7576, 1), (9289, 1), (14462, 1), (14463, 1), (14464, 1)], [(8, 1), (20, 2), (22, 1), (94, 1), (201, 1), (214, 1), (256, 1), (487, 1), (535, 1), (711, 1), (830, 1), (1470, 1), (2153, 1), (5816, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 1), (45, 1), (50, 3), (53, 3), (65, 1), (77, 1), (83, 1), (215, 1), (228, 1), (293, 2), (877, 1), (1005, 1), (1350, 1), (1377, 1), (1395, 1), (3043, 1), (4435, 1), (4619, 1), (9953, 2), (10706, 1), (14437, 1), (14465, 1), (14466, 1), (14467, 1)], [(8, 1), (19, 2), (53, 1), (58, 1), (77, 1), (301, 1), (1342, 1), (1521, 1), (6129, 1)], [(19, 1), (20, 3), (22, 1), (23, 1), (31, 1), (53, 2), (64, 2), (66, 1), (82, 1), (109, 1), (117, 1), (232, 1), (233, 1), (323, 1), (373, 1), (414, 1), (645, 1), (702, 1), (710, 1), (739, 1), (1163, 1), (1363, 1), (1693, 1), (1904, 1), (2296, 1), (4841, 1), (6315, 1), (14416, 1), (14417, 1)], [(8, 1), (19, 1), (32, 1), (45, 1), (301, 1), (302, 1), (704, 1), (2211, 1)], [(20, 2), (25, 1), (50, 1), (53, 1), (64, 1), (247, 1), (342, 1), (3398, 1), (6691, 1), (14468, 1), (14469, 1)], [(50, 1), (53, 1), (1178, 1), (9796, 1), (11241, 1), (14461, 1)], [(64, 1), (247, 1), (302, 1)], [(302, 1), (1178, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (37, 1), (53, 1), (64, 1), (90, 1), (203, 1), (301, 1), (357, 1), (373, 1), (974, 1), (1041, 1), (1106, 1), (1198, 1), (1348, 1), (1528, 1), (1570, 1), (1879, 1), (1904, 1), (2925, 1), (7208, 1), (12170, 1), (12362, 1), (13441, 1), (14416, 1)], [(53, 1), (64, 1), (182, 1), (357, 1), (756, 1), (946, 1), (6297, 1), (10515, 1)], [(8, 1), (20, 1), (53, 1), (373, 1), (420, 1), (626, 1), (1326, 1), (6315, 1), (14470, 1)], [(20, 2), (25, 1), (50, 1), (64, 1), (65, 1), (95, 1), (247, 1), (342, 1), (373, 1), (4841, 1), (4862, 1), (6691, 1), (13362, 1)], [(50, 1), (53, 1), (623, 1), (1178, 1), (9796, 1), (11241, 1)], [(7, 1), (8, 1), (20, 2), (23, 1), (53, 1), (64, 1), (90, 1), (215, 1), (245, 1), (301, 1), (302, 1), (373, 1), (504, 1), (1198, 1), (1458, 2), (2145, 1), (3356, 1), (3686, 1), (7208, 1), (9998, 1)], [(7, 2), (8, 1), (18, 1), (20, 3), (50, 3), (53, 1), (54, 1), (58, 1), (82, 1), (97, 1), (108, 1), (233, 1), (269, 1), (435, 1), (448, 1), (459, 1), (518, 1), (834, 1), (1529, 1), (1722, 1), (2163, 1), (6034, 1), (7255, 1), (8038, 1), (11349, 1), (14471, 1), (14472, 1), (14473, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (45, 1), (53, 1), (54, 1), (55, 1), (58, 1), (95, 1), (117, 1), (124, 1), (182, 1), (232, 1), (302, 1), (410, 1), (452, 1), (706, 1), (723, 1), (833, 1), (903, 1), (1964, 1), (2006, 1), (3305, 1), (6213, 1), (7332, 1), (8224, 1), (8475, 1), (11663, 1), (12753, 1), (14474, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (20, 5), (22, 1), (25, 1), (30, 1), (45, 1), (53, 1), (54, 2), (55, 1), (81, 1), (82, 1), (90, 1), (109, 1), (185, 1), (201, 1), (302, 1), (365, 1), (654, 1), (777, 1), (903, 1), (1632, 1), (1859, 1), (1884, 1), (1904, 1), (2104, 1), (2276, 1), (2911, 1), (3013, 1), (3330, 1), (4059, 1), (11537, 1), (14416, 1), (14429, 1), (14475, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (20, 3), (25, 1), (50, 2), (53, 3), (65, 1), (82, 1), (90, 1), (95, 1), (122, 1), (173, 1), (174, 1), (281, 1), (347, 2), (353, 1), (420, 1), (459, 1), (709, 1), (903, 1), (1115, 1), (1159, 1), (1587, 1), (1656, 1), (5052, 1), (9236, 1), (11556, 1), (11619, 1), (14408, 1), (14453, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (31, 3), (45, 1), (53, 7), (71, 2), (182, 1), (185, 1), (195, 1), (268, 1), (302, 1), (305, 1), (332, 1), (381, 1), (743, 1), (756, 2), (827, 1), (833, 1), (1160, 1), (1325, 1), (1853, 1), (4537, 1), (6592, 1), (7866, 1), (9474, 1), (9585, 1), (10515, 2), (12161, 1), (12839, 1), (13346, 1), (14441, 1), (14476, 1), (14477, 1), (14478, 1), (14479, 1)], [(1, 1), (4, 1), (8, 1), (19, 3), (20, 7), (22, 1), (25, 2), (30, 2), (31, 1), (37, 1), (45, 1), (53, 5), (54, 1), (55, 1), (65, 1), (82, 1), (109, 1), (111, 1), (117, 1), (172, 1), (232, 1), (301, 1), (317, 1), (373, 1), (418, 1), (420, 1), (448, 1), (498, 1), (600, 1), (645, 1), (827, 1), (1140, 1), (1325, 1), (1377, 1), (1481, 1), (1572, 1), (1792, 1), (2006, 1), (2523, 1), (2627, 1), (2872, 1), (3549, 1), (7395, 1), (8759, 2), (9827, 1), (14480, 1), (14481, 1), (14482, 1), (14483, 1), (14484, 1), (14485, 1), (14486, 1), (14487, 1)], [(8, 1), (20, 4), (22, 1), (25, 2), (31, 1), (91, 1), (173, 2), (193, 1), (228, 1), (269, 1), (289, 1), (337, 1), (708, 1), (1068, 1), (2337, 1), (2344, 1), (2393, 1), (2734, 1), (3061, 1), (3549, 1), (4941, 1), (5655, 1), (10422, 1), (14488, 1), (14489, 1)], [(8, 1), (19, 2), (20, 4), (25, 1), (31, 1), (45, 1), (50, 2), (53, 2), (54, 1), (65, 2), (269, 1), (302, 1), (317, 1), (320, 1), (706, 1), (1042, 1), (1069, 1), (2258, 1), (4472, 1), (4598, 1), (4960, 1), (6845, 1), (7332, 1), (8333, 1), (9149, 1), (10574, 1), (14490, 1), (14491, 1), (14492, 1), (14493, 1)], [(18, 1), (19, 1), (20, 6), (25, 2), (31, 1), (37, 1), (45, 4), (50, 1), (53, 3), (54, 2), (55, 1), (95, 1), (108, 1), (117, 1), (186, 1), (232, 1), (247, 1), (279, 1), (281, 1), (346, 1), (373, 1), (687, 1), (1328, 1), (1379, 1), (1529, 1), (1572, 1), (1615, 1), (2168, 1), (2965, 1), (3053, 1), (3886, 1), (6114, 1), (8759, 1), (11959, 1), (12560, 1), (14494, 1), (14495, 1), (14496, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 1), (50, 2), (53, 4), (85, 1), (109, 1), (365, 1), (578, 1), (582, 1), (669, 1), (778, 1), (1041, 1), (1931, 1), (2185, 1), (2340, 1), (4401, 1), (4563, 1), (6625, 1), (7550, 1), (12159, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (31, 1), (45, 1), (50, 2), (53, 4), (54, 1), (174, 1), (193, 1), (263, 1), (293, 1), (316, 1), (365, 1), (410, 1), (428, 2), (457, 1), (460, 1), (505, 1), (1010, 1), (1245, 1), (1376, 1), (1415, 1), (1570, 1), (1572, 1), (5384, 1), (5562, 1), (5752, 1), (7819, 1), (9820, 1), (10607, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (40, 1), (50, 2), (53, 2), (54, 1), (108, 1), (117, 1), (161, 1), (232, 1), (256, 1), (373, 1), (706, 1), (1118, 1), (1572, 1), (1911, 1), (2691, 1), (5492, 1), (12017, 1), (12062, 1), (14497, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 2), (65, 1), (69, 1), (77, 2), (90, 1), (122, 1), (161, 1), (185, 1), (215, 2), (226, 1), (240, 1), (756, 1), (795, 1), (1253, 1), (1499, 1), (3582, 1), (4300, 1), (7514, 1), (14475, 1), (14498, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (26, 1), (31, 1), (53, 5), (65, 1), (77, 4), (97, 1), (109, 1), (111, 1), (117, 1), (232, 1), (256, 1), (323, 1), (373, 1), (527, 1), (645, 1), (708, 1), (1041, 1), (1243, 1), (1328, 1), (1363, 1), (1820, 1), (2184, 1), (2774, 1), (4675, 1), (5973, 1), (6735, 1), (7899, 1), (8094, 1), (12321, 1), (14499, 1), (14500, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (26, 1), (31, 1), (37, 1), (50, 2), (53, 3), (77, 2), (82, 1), (90, 1), (124, 1), (217, 1), (225, 1), (269, 1), (301, 1), (420, 1), (645, 1), (827, 1), (833, 1), (893, 1), (2034, 1), (2812, 1), (3226, 1), (3678, 1), (3853, 1), (6402, 1), (7307, 1), (9167, 1), (10562, 1)], [(8, 1), (20, 2), (24, 1), (50, 1), (53, 2), (54, 1), (55, 1), (109, 1), (602, 1), (709, 1), (1080, 1), (1730, 1), (2985, 1), (4551, 1), (8759, 1), (10674, 1)], [(18, 1), (24, 1), (247, 1), (363, 1), (1198, 1), (9593, 1), (9857, 1), (14501, 1)], [(53, 1), (1178, 1), (9593, 1)], [(8, 1), (50, 1), (53, 3), (65, 1), (72, 1), (95, 1), (109, 1), (302, 1), (708, 1), (1506, 1), (2456, 1), (2772, 1), (9248, 1), (10584, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (31, 1), (45, 1), (50, 2), (53, 2), (55, 1), (58, 1), (65, 1), (90, 1), (97, 1), (106, 1), (161, 1), (172, 2), (173, 1), (228, 1), (269, 2), (293, 1), (316, 1), (347, 1), (601, 1), (1270, 1), (1308, 1), (1463, 1), (1877, 1), (1909, 1), (2006, 1), (2066, 1), (2828, 1), (3010, 1), (3181, 1), (3402, 1), (3403, 1), (4199, 1), (4846, 1), (5467, 1), (5673, 1), (5855, 1), (7070, 1), (8132, 1), (9561, 1), (9978, 1), (14458, 1), (14502, 1), (14503, 1)], [(8, 1), (18, 1), (19, 1), (36, 1), (53, 1), (709, 1), (2161, 1), (2266, 1), (10584, 1)], [(8, 1), (19, 2), (20, 3), (30, 1), (45, 1), (53, 2), (82, 1), (90, 1), (166, 1), (173, 1), (490, 1), (504, 1), (743, 1), (744, 1), (756, 1), (1325, 1), (1498, 1), (2140, 1), (2226, 1), (3040, 1), (3415, 1), (4982, 1), (6315, 1), (6649, 1), (7415, 1), (9295, 1), (10515, 1), (11732, 1), (14416, 1), (14485, 1), (14504, 1)], [(66, 1), (97, 1), (553, 1), (1169, 1), (1198, 1), (4939, 1), (6315, 1)], [(19, 1), (20, 7), (21, 1), (25, 2), (45, 1), (50, 2), (51, 1), (53, 3), (55, 1), (117, 1), (124, 1), (232, 1), (281, 1), (302, 1), (310, 1), (328, 1), (342, 1), (645, 1), (704, 1), (776, 1), (893, 1), (897, 1), (1178, 1), (1198, 1), (1569, 1), (2211, 1), (2862, 1), (3786, 1), (4963, 1), (4997, 1), (5639, 1), (5682, 1), (6691, 1), (7427, 1), (11516, 1), (14505, 2), (14506, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (23, 2), (50, 2), (64, 1), (65, 1), (77, 1), (79, 2), (82, 1), (108, 1), (172, 1), (233, 1), (269, 1), (328, 1), (504, 1), (506, 1), (695, 1), (897, 1), (1580, 1), (1731, 1), (1904, 1), (2208, 1), (2406, 1), (3782, 1), (4841, 1), (6301, 1), (6315, 1), (14416, 1), (14507, 1), (14508, 1)], [(20, 1), (53, 1), (66, 1), (777, 1), (1170, 1), (2208, 1), (7286, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (31, 1), (50, 2), (53, 3), (65, 1), (71, 1), (85, 1), (91, 1), (95, 1), (108, 1), (175, 1), (246, 1), (281, 1), (283, 1), (355, 1), (404, 1), (687, 1), (709, 1), (711, 1), (830, 1), (1136, 1), (1886, 1), (2148, 1), (2819, 1), (2894, 1), (3539, 1), (6477, 1), (7124, 1), (7142, 1), (8060, 1), (12480, 1), (14509, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (50, 1), (111, 2), (124, 1), (214, 1), (228, 1), (337, 1), (407, 1), (418, 1), (450, 1), (529, 1), (531, 1), (609, 1), (812, 1), (1248, 1), (1308, 1), (2812, 1), (3973, 1), (4249, 1), (4789, 1), (5100, 1), (12480, 1)], [(8, 1), (18, 1), (31, 1), (45, 1), (55, 1), (75, 1), (79, 1), (979, 1), (1510, 1), (7286, 1)], [(8, 1), (18, 2), (20, 5), (25, 1), (31, 2), (50, 2), (53, 1), (54, 1), (55, 1), (122, 1), (827, 1), (1054, 1), (1131, 1), (1610, 1), (2276, 1), (2466, 1), (3369, 1), (4729, 1), (5970, 1), (7422, 1), (8265, 1), (10007, 1), (10265, 1), (14510, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (65, 1), (79, 1), (172, 1), (217, 1), (240, 1), (601, 1), (744, 1), (1377, 1), (1858, 1), (2478, 1), (3319, 1), (5622, 1)], [(58, 1), (64, 1), (82, 1), (117, 1), (946, 1), (2540, 1), (4297, 1), (6945, 1)], [(8, 1), (2925, 1), (6315, 1)], [(8, 1), (20, 1), (58, 1), (64, 1), (248, 1), (506, 1), (645, 1)], [(18, 1), (20, 2), (58, 1), (96, 1), (117, 2), (185, 1), (232, 2), (256, 1), (946, 1), (1902, 1), (2424, 1), (4390, 1), (4939, 1), (14511, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (25, 2), (31, 1), (45, 1), (53, 4), (54, 1), (55, 1), (58, 2), (65, 1), (75, 1), (79, 1), (85, 1), (90, 1), (161, 1), (173, 1), (174, 1), (209, 1), (309, 1), (328, 1), (373, 1), (654, 1), (697, 1), (709, 1), (1041, 1), (2354, 1), (2862, 1), (2864, 1), (3685, 1), (3947, 1), (6519, 1), (7286, 1), (7688, 1), (9774, 1), (9957, 1), (14206, 1), (14512, 1)], [(8, 3), (18, 1), (20, 7), (21, 2), (23, 1), (25, 1), (53, 2), (58, 1), (64, 1), (75, 1), (79, 1), (117, 5), (173, 1), (232, 4), (638, 1), (645, 1), (893, 1), (1178, 1), (1195, 3), (1902, 1), (1932, 1), (2149, 1), (2417, 1), (2541, 1), (2854, 1), (3162, 1), (3649, 1), (4748, 2), (4939, 1), (5264, 1), (6079, 1), (6315, 1), (7332, 1), (8759, 2), (14408, 1), (14513, 1), (14514, 1), (14515, 1), (14516, 1)], [(64, 1), (247, 1), (1180, 1), (2509, 1)], [(178, 1), (247, 1), (1180, 1)], [(22, 1), (25, 1), (45, 1), (58, 1), (64, 1), (66, 1), (109, 1), (172, 1), (256, 1), (498, 1), (506, 1), (1163, 1), (3649, 1), (11993, 1), (14416, 1)], [(19, 1), (20, 1), (22, 1), (58, 1), (64, 2), (66, 1), (90, 1), (302, 1), (357, 1), (556, 1), (697, 1), (1163, 1), (1627, 1), (1764, 1), (2515, 1), (2925, 1), (3755, 1), (6315, 1), (6936, 1)], [(64, 1), (245, 1), (1178, 1), (14517, 1), (14518, 1)], [(8, 1), (5714, 1), (6315, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 2), (31, 1), (32, 1), (50, 1), (53, 4), (58, 3), (64, 1), (109, 1), (117, 1), (173, 1), (232, 1), (373, 1), (433, 1), (774, 1), (777, 1), (800, 1), (1354, 1), (1904, 1), (1931, 1), (3344, 1), (3582, 1), (4990, 1), (5089, 1), (7286, 1), (9774, 1), (13755, 1), (14416, 1), (14519, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (22, 2), (53, 4), (55, 1), (75, 1), (79, 1), (90, 1), (109, 1), (117, 2), (173, 1), (215, 2), (232, 2), (293, 2), (301, 1), (302, 1), (373, 1), (433, 1), (504, 1), (709, 1), (710, 1), (792, 1), (884, 1), (1761, 1), (1856, 1), (2543, 1), (2786, 1), (4988, 1), (11957, 1), (11984, 1), (12159, 1), (12956, 1), (14470, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (36, 1), (53, 3), (58, 3), (65, 1), (79, 1), (373, 1), (414, 1), (428, 1), (531, 1), (626, 1), (709, 1), (1570, 1), (1820, 1), (2677, 1), (2864, 1), (5710, 1), (6770, 1), (8033, 1), (10016, 1)], [(8, 1), (117, 1), (122, 1), (193, 1), (232, 1), (704, 1), (1415, 1), (6315, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (31, 1), (45, 1), (53, 2), (55, 1), (85, 1), (90, 1), (109, 1), (302, 1), (373, 1), (450, 1), (691, 1), (697, 1), (1305, 1), (1324, 1), (1375, 1), (1528, 1), (2157, 1), (6129, 1), (7043, 1), (10752, 1), (13025, 1), (14520, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (50, 1), (53, 3), (95, 1), (185, 2), (209, 1), (228, 1), (281, 1), (337, 1), (450, 1), (459, 1), (487, 1), (608, 1), (2104, 1), (2168, 1), (2820, 1), (2847, 1), (3360, 1), (4875, 1), (5583, 1), (6031, 1), (6112, 1)], [(1544, 1), (14521, 1)], [(8, 1), (24, 1), (65, 1), (14522, 1), (14523, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 2), (31, 1), (50, 1), (53, 2), (65, 1), (77, 1), (95, 1), (289, 1), (328, 1), (359, 1), (399, 1), (1506, 1), (2158, 1), (2245, 1), (3480, 1), (3685, 1), (9516, 1), (13774, 1), (13776, 1)], [(8, 1), (20, 1), (25, 1), (214, 2), (226, 1), (328, 1), (346, 1), (897, 1), (1354, 2), (1458, 1), (3250, 2)], [(8, 1), (19, 1), (22, 1), (25, 1), (31, 1), (53, 1), (71, 1), (77, 1), (108, 1), (161, 1), (193, 1), (225, 1), (268, 1), (269, 2), (351, 1), (922, 1), (1260, 1), (1342, 1), (2184, 1), (2315, 1), (3181, 1), (14524, 1)], [(8, 1), (30, 1), (50, 1), (53, 3), (55, 1), (77, 1), (122, 1), (289, 1), (323, 1), (922, 1), (2648, 1), (2988, 1), (4673, 1)], [(8, 1), (18, 1), (32, 1), (84, 1), (203, 1), (697, 1), (751, 1), (884, 1), (14525, 1)], [(7, 1), (8, 1), (20, 1), (31, 1), (50, 1), (53, 5), (54, 2), (65, 1), (90, 1), (95, 1), (117, 1), (122, 1), (232, 1), (281, 1), (328, 1), (428, 1), (626, 1), (703, 1), (763, 1), (2248, 1), (2640, 1), (3064, 1), (3934, 1), (4059, 1), (4526, 1), (5054, 1), (8724, 1), (9047, 1), (14186, 1)], [(18, 1), (25, 1), (31, 1), (90, 2), (215, 1), (288, 1), (293, 1), (301, 1), (627, 1), (792, 1), (922, 1), (1526, 1), (1615, 1), (1714, 1), (3064, 1), (5030, 1), (8724, 1), (9059, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (53, 2), (54, 2), (58, 1), (108, 1), (117, 1), (122, 1), (215, 1), (232, 1), (246, 1), (281, 1), (328, 1), (381, 1), (626, 1), (855, 1), (1578, 1), (1580, 1), (1597, 1), (2196, 1), (3301, 1), (3614, 1), (4526, 1), (5288, 1), (8084, 1), (10677, 1)], [(8, 1), (20, 1), (31, 1), (53, 3), (77, 1), (90, 1), (95, 1), (111, 1), (228, 1), (292, 1), (301, 1), (414, 1), (452, 1), (1057, 1), (1578, 1), (2120, 1), (2757, 1), (2985, 1), (3415, 1), (3902, 1), (6982, 1), (12746, 1), (14370, 1), (14526, 1)], [(8, 1), (20, 3), (24, 1), (53, 1), (58, 1), (69, 1), (71, 1), (95, 1), (281, 1), (1133, 1), (1277, 1), (1815, 1), (2137, 1), (3117, 1), (7597, 1), (13344, 1), (14527, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (30, 1), (31, 1), (50, 1), (53, 6), (65, 1), (95, 1), (178, 1), (215, 1), (241, 1), (310, 1), (328, 1), (410, 1), (414, 1), (448, 1), (516, 1), (587, 1), (680, 1), (704, 1), (1071, 1), (1350, 2), (1526, 1), (1578, 1), (1760, 1), (2064, 1), (6364, 1), (7501, 1), (8144, 1), (14528, 1), (14529, 1), (14530, 1)], [(8, 1), (18, 2), (19, 3), (20, 4), (21, 2), (22, 1), (25, 2), (30, 1), (31, 3), (53, 2), (71, 1), (97, 1), (173, 1), (182, 1), (190, 1), (193, 1), (202, 1), (215, 1), (261, 1), (268, 1), (269, 1), (347, 1), (411, 1), (687, 1), (1296, 1), (1549, 1), (1556, 1), (1580, 1), (2210, 1), (2367, 1), (3614, 1), (4145, 1), (5029, 1), (6367, 1), (7730, 1), (8155, 1), (10810, 1), (12479, 1), (14531, 1)], [(8, 1), (10, 1), (19, 1), (20, 2), (30, 1), (31, 1), (45, 1), (53, 5), (54, 1), (58, 1), (65, 2), (77, 1), (90, 2), (95, 1), (109, 1), (117, 2), (232, 2), (269, 1), (281, 2), (323, 1), (373, 1), (626, 1), (685, 1), (782, 1), (893, 1), (1328, 1), (1373, 1), (1462, 1), (1529, 1), (1580, 1), (1931, 1), (2077, 1), (2320, 1), (2712, 1), (3138, 1), (3301, 1), (3438, 1), (6839, 1), (11987, 1), (13114, 1), (14532, 1), (14533, 1)], [(7, 1), (8, 1), (18, 2), (65, 2), (172, 1), (174, 1), (182, 1), (1978, 1), (2541, 1), (2705, 1), (3087, 1), (8360, 1), (13242, 1), (13867, 1), (14534, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (23, 1), (31, 2), (45, 1), (50, 1), (53, 3), (65, 1), (72, 1), (77, 1), (96, 1), (109, 1), (117, 1), (232, 1), (276, 1), (293, 1), (310, 1), (328, 1), (365, 1), (632, 1), (709, 1), (792, 1), (1122, 1), (1540, 1), (1646, 1), (1867, 1), (2887, 1), (3070, 1), (3614, 1), (3664, 1), (4073, 1), (4109, 1), (4969, 1), (5314, 1), (9239, 1), (11965, 1)], [(8, 1), (18, 1), (50, 1), (54, 1), (108, 1), (122, 1), (434, 1), (2245, 1), (2479, 1), (5655, 1), (6348, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (25, 1), (53, 1), (54, 1), (58, 1), (65, 1), (71, 1), (90, 1), (117, 1), (193, 1), (203, 1), (232, 1), (233, 1), (269, 1), (286, 1), (307, 1), (419, 1), (741, 1), (1540, 1), (1580, 1), (2340, 1), (2479, 1), (2772, 1), (2887, 1), (3111, 1), (3614, 1), (4088, 1), (4109, 1), (4941, 3), (6248, 1), (9735, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 1), (45, 1), (50, 1), (53, 2), (58, 1), (90, 2), (108, 3), (111, 1), (124, 1), (178, 1), (241, 1), (268, 1), (310, 1), (418, 1), (419, 1), (459, 1), (506, 1), (743, 2), (897, 1), (1229, 1), (1296, 1), (1326, 1), (1342, 1), (1781, 1), (1973, 1), (2470, 1), (2479, 1), (3161, 1), (3614, 1), (3685, 1), (3743, 1), (4199, 1), (6601, 1), (8001, 1), (13867, 1)], [(8, 1), (20, 2), (241, 1), (434, 1), (531, 1), (897, 1), (6255, 1), (14535, 1), (14536, 1), (14537, 1)], [(8, 1), (22, 1), (23, 1), (50, 1), (53, 2), (54, 1), (97, 1), (161, 1), (166, 1), (229, 1), (697, 1), (1298, 1), (1580, 1), (1615, 1), (1871, 1), (1911, 1), (2040, 1), (3614, 1), (4024, 1), (6211, 1), (6346, 1), (13662, 1), (14538, 1), (14539, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 2), (23, 2), (25, 3), (31, 1), (32, 1), (45, 1), (50, 2), (54, 1), (90, 4), (111, 1), (117, 1), (190, 1), (229, 1), (232, 1), (241, 1), (347, 1), (418, 1), (428, 1), (506, 1), (529, 1), (573, 1), (601, 1), (695, 1), (792, 1), (897, 1), (903, 1), (983, 1), (1081, 1), (1529, 1), (1580, 3), (1686, 1), (2050, 1), (2183, 1), (2265, 1), (2916, 1), (3822, 1), (3827, 1), (3891, 1), (4480, 1), (4746, 1), (6097, 1), (7351, 1), (7654, 1), (8858, 1), (12245, 1), (14540, 1), (14541, 1), (14542, 1), (14543, 1), (14544, 1), (14545, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (31, 1), (50, 1), (54, 1), (65, 1), (90, 1), (108, 1), (166, 1), (172, 1), (192, 1), (226, 1), (260, 1), (293, 1), (531, 1), (726, 1), (812, 1), (813, 1), (1041, 1), (2098, 1), (6765, 1), (7498, 1), (14546, 1), (14547, 1), (14548, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (21, 2), (22, 1), (23, 3), (25, 2), (30, 2), (31, 1), (32, 1), (50, 3), (53, 2), (54, 1), (55, 1), (90, 2), (95, 1), (97, 1), (109, 1), (111, 1), (173, 1), (185, 2), (197, 1), (225, 1), (269, 1), (273, 1), (285, 1), (331, 1), (407, 1), (415, 2), (697, 1), (709, 1), (726, 1), (897, 1), (1308, 1), (1529, 1), (1686, 1), (1702, 2), (1824, 1), (2036, 1), (2079, 1), (2438, 1), (2495, 1), (2757, 1), (2772, 2), (3661, 1), (5259, 1), (11330, 2), (13669, 1), (14535, 1), (14544, 2), (14549, 1), (14550, 1), (14551, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (31, 1), (99, 3), (324, 3), (504, 1), (695, 1), (869, 1), (2792, 1), (5161, 1), (9063, 1), (10498, 1), (14552, 1), (14553, 1), (14554, 1), (14555, 1)], [(7, 1), (8, 1), (20, 3), (25, 1), (50, 1), (53, 1), (90, 1), (99, 2), (206, 1), (273, 1), (415, 1), (505, 1), (532, 1), (737, 1), (830, 2), (1294, 1), (1733, 1), (4733, 1), (5081, 1), (9455, 1), (14556, 1)], [(8, 1), (20, 2), (23, 2), (58, 1), (65, 1), (90, 1), (117, 1), (173, 1), (215, 1), (232, 1), (275, 1), (285, 1), (293, 1), (301, 1), (426, 1), (452, 1), (707, 1), (1540, 1), (2692, 1), (2887, 1), (3614, 1), (4251, 1), (6615, 1), (14550, 1), (14557, 1)], [(8, 1), (20, 2), (23, 3), (50, 2), (53, 1), (58, 1), (90, 1), (96, 1), (166, 1), (269, 1), (285, 1), (347, 1), (1308, 1), (1685, 1), (1733, 1), (2862, 1), (3043, 1), (6560, 1), (7420, 1)], [(7742, 1)], [(8, 1), (22, 1), (24, 1), (25, 1), (31, 2), (37, 1), (40, 1), (45, 1), (53, 2), (54, 1), (58, 1), (65, 1), (77, 1), (90, 1), (256, 1), (329, 1), (459, 1), (894, 1), (1308, 1), (1540, 1), (1542, 1), (2887, 2), (6129, 1), (7742, 1), (8081, 1), (14558, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 4), (54, 1), (65, 1), (106, 1), (108, 1), (268, 1), (281, 1), (645, 1), (788, 1), (833, 1), (902, 1), (1160, 1), (1186, 1), (1450, 1), (1540, 1), (1578, 1), (2248, 1), (2887, 1), (7295, 1), (8001, 1), (8537, 1), (9274, 1), (13828, 1), (14558, 1), (14559, 1), (14560, 1), (14561, 1)], [(8, 1), (20, 1), (21, 1), (23, 2), (25, 2), (50, 1), (53, 3), (90, 1), (95, 1), (109, 2), (112, 1), (172, 1), (173, 1), (178, 1), (285, 2), (709, 1), (1139, 1), (2036, 1), (2479, 1), (3614, 1), (3756, 1), (3794, 1), (4977, 1), (5583, 1), (5747, 1), (9767, 1), (11811, 1)], [(8, 1), (19, 1), (53, 1), (54, 2), (82, 1), (173, 1), (185, 1), (301, 1), (1308, 1), (4013, 1), (7143, 1), (14562, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (25, 1), (31, 1), (32, 1), (53, 6), (58, 1), (91, 1), (97, 1), (109, 1), (124, 1), (281, 1), (307, 1), (353, 1), (516, 1), (670, 1), (1021, 1), (1097, 1), (1122, 1), (1224, 1), (1711, 1), (2911, 1), (3557, 1), (10231, 1), (12427, 1), (13596, 1), (14563, 1), (14564, 1), (14565, 1), (14566, 1), (14567, 1), (14568, 1), (14569, 1), (14570, 1)], [(8, 1), (22, 1), (31, 1), (45, 1), (54, 1), (55, 1), (91, 1), (323, 1), (331, 1), (399, 1), (704, 1), (834, 1), (970, 1), (1097, 1), (2393, 1), (3614, 1), (3756, 1), (3782, 1), (13303, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (53, 1), (58, 1), (82, 1), (90, 1), (95, 1), (126, 1), (190, 1), (215, 1), (253, 1), (387, 1), (459, 1), (535, 1), (645, 1), (696, 1), (744, 1), (893, 1), (908, 1), (3255, 1), (3641, 1), (6047, 1), (7276, 1), (14571, 1), (14572, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (31, 1), (53, 1), (58, 2), (71, 1), (77, 1), (90, 1), (91, 1), (172, 1), (240, 1), (256, 1), (605, 1), (711, 1), (744, 1), (830, 1), (1170, 1), (2467, 1), (3828, 1), (4179, 1), (5639, 1), (6439, 1), (8132, 1), (14106, 1), (14573, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (21, 1), (23, 1), (25, 1), (32, 1), (50, 1), (53, 3), (54, 1), (55, 2), (65, 1), (96, 1), (97, 1), (109, 1), (173, 1), (178, 1), (278, 1), (372, 1), (688, 1), (897, 1), (903, 1), (1180, 1), (1502, 1), (1540, 1), (1702, 1), (2265, 1), (2887, 1), (4467, 1), (4601, 1), (6047, 1), (10647, 1), (11115, 1), (11886, 1), (14550, 1), (14574, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (45, 1), (50, 2), (53, 2), (65, 1), (95, 1), (166, 1), (215, 2), (228, 1), (269, 1), (632, 1), (706, 1), (711, 2), (777, 2), (1097, 1), (1992, 1), (5100, 1), (6074, 1), (7273, 1), (8103, 1), (8140, 1), (8145, 1), (8341, 1), (14186, 1), (14190, 1), (14575, 1), (14576, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (50, 2), (54, 1), (71, 1), (91, 1), (106, 1), (452, 1), (1541, 1), (4205, 1), (6098, 1), (7519, 1), (14577, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (23, 1), (25, 2), (30, 1), (31, 1), (50, 1), (53, 3), (65, 1), (90, 1), (109, 1), (117, 1), (173, 1), (193, 1), (232, 1), (256, 1), (285, 1), (450, 1), (454, 1), (459, 1), (530, 1), (680, 1), (702, 1), (833, 1), (834, 1), (1021, 1), (1097, 1), (1350, 1), (2374, 1), (2434, 1), (2479, 1), (2744, 1), (3524, 1), (3544, 1), (3614, 1), (3638, 1), (3678, 1), (4205, 1), (6332, 1), (9643, 1), (9787, 1), (14186, 1), (14578, 1), (14579, 1), (14580, 1), (14581, 1), (14582, 1)], [(8, 1), (19, 1), (20, 5), (21, 1), (23, 2), (25, 2), (45, 3), (50, 1), (53, 1), (55, 1), (90, 1), (178, 2), (186, 1), (301, 1), (328, 1), (334, 1), (428, 1), (505, 1), (1308, 1), (1354, 1), (2442, 2), (2545, 1), (2734, 1), (3352, 1), (3614, 2), (5026, 1), (6082, 1), (8724, 1), (12790, 1), (13694, 1)], [(19, 1), (20, 5), (21, 1), (23, 2), (25, 2), (31, 1), (37, 1), (50, 1), (53, 2), (58, 1), (65, 1), (96, 1), (197, 1), (215, 1), (236, 1), (240, 1), (337, 1), (365, 1), (708, 1), (897, 1), (1540, 1), (1580, 1), (1714, 1), (1871, 1), (2013, 1), (2284, 1), (3015, 1), (3791, 1), (5058, 1), (5760, 1), (13662, 1), (14583, 1)], [(25, 1), (31, 1), (37, 1), (50, 2), (53, 1), (56, 1), (82, 1), (99, 1), (185, 1), (434, 1), (600, 1), (1129, 1), (1714, 1), (1715, 1), (1882, 1), (2096, 1), (7760, 1)], [(8, 1), (18, 1), (20, 4), (22, 3), (25, 3), (31, 2), (77, 1), (96, 1), (99, 2), (178, 1), (214, 1), (311, 1), (324, 2), (583, 1), (658, 1), (834, 2), (1097, 2), (2036, 1), (3785, 1), (4342, 1), (4757, 1), (6658, 1), (7472, 1), (10208, 1), (10852, 1), (14186, 2), (14584, 1)], [(247, 1), (301, 1), (7883, 1)], [(8, 1), (20, 1), (31, 1), (77, 1), (99, 1), (108, 1), (328, 1), (2178, 1), (3614, 1), (7323, 1), (7376, 1)], [(18, 1), (20, 3), (21, 1), (22, 1), (25, 4), (30, 1), (32, 1), (37, 1), (53, 4), (55, 2), (65, 1), (96, 1), (186, 1), (193, 1), (215, 1), (261, 1), (286, 1), (632, 1), (777, 1), (1021, 1), (1354, 1), (1528, 1), (1620, 1), (1714, 1), (1806, 1), (2344, 1), (2712, 1), (2774, 1), (2886, 1), (4791, 1), (5246, 1), (5482, 1), (5907, 1), (6098, 1), (6487, 1), (7171, 1), (9541, 1), (12453, 1), (14585, 1)], [(757, 1), (1714, 1), (3425, 1), (14586, 1)], [(247, 1), (1165, 1)], [(20, 1), (30, 1), (247, 1), (295, 1), (1354, 1), (2545, 1)], [(18, 1), (25, 1), (30, 1), (50, 1), (247, 1), (680, 1), (1354, 1), (2562, 1), (10110, 1), (12006, 1)], [(64, 1), (1714, 1), (14587, 1)], [(23, 1), (846, 1), (946, 1), (1336, 1), (12006, 1)], [(8, 1), (20, 1), (309, 1), (707, 1), (5527, 1), (7295, 1), (14588, 1)], [(8, 1), (20, 1), (53, 1), (64, 1), (71, 1), (185, 1), (203, 1), (215, 1), (428, 1), (1163, 1), (1778, 1), (1824, 1), (5177, 1), (10110, 1), (12006, 1), (14589, 1)], [(18, 1), (20, 2), (53, 1), (64, 1), (108, 1), (173, 1), (215, 1), (433, 1), (504, 1), (1529, 1), (1557, 1), (1714, 1), (2157, 1), (2965, 1), (3091, 1), (3177, 1), (4030, 1), (4290, 1), (6698, 1), (7171, 1), (14587, 1)], [(1714, 1), (12006, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (50, 1), (53, 2), (65, 1), (99, 1), (172, 1), (190, 1), (506, 1), (1139, 1), (1195, 1), (1714, 1), (1751, 1), (1815, 1), (2145, 1), (3787, 1), (8488, 1), (8489, 1), (12006, 1)], [(247, 1), (14587, 1)], [(18, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 1), (65, 1), (77, 1), (99, 1), (185, 1), (813, 1), (999, 1), (1714, 1), (1858, 1), (2706, 1), (5721, 1), (5788, 1), (7155, 1), (8489, 1), (12006, 1), (14590, 1)], [(53, 1), (65, 1), (77, 1), (96, 1), (167, 1), (365, 1), (1683, 1), (1714, 1), (3786, 1), (8142, 1), (12006, 1), (14587, 1)], [(19, 1), (20, 2), (23, 1), (53, 1), (66, 1), (77, 1), (84, 1), (90, 1), (96, 1), (99, 1), (167, 1), (178, 1), (185, 1), (226, 1), (273, 1), (1683, 4), (2226, 1), (3614, 1), (10110, 1), (12006, 1), (14443, 1), (14591, 1), (14592, 1), (14593, 1), (14594, 1)], [(8, 1), (20, 2), (32, 1), (64, 1), (77, 1), (109, 1), (173, 1), (185, 1), (323, 1), (347, 1), (351, 1), (410, 1), (448, 1), (702, 1), (1163, 1), (1462, 1), (1731, 1), (1856, 1), (2245, 1), (2828, 1), (3842, 1), (7286, 1), (7322, 1), (14172, 1), (14595, 1), (14596, 1)], [(20, 2), (22, 1), (50, 1), (58, 1), (64, 1), (66, 1), (90, 1), (99, 2), (193, 1), (291, 1), (504, 1), (846, 1), (949, 1), (1170, 1), (8726, 1), (14597, 1)], [(8, 2), (19, 2), (20, 6), (24, 1), (25, 1), (53, 3), (64, 1), (90, 1), (95, 1), (117, 1), (173, 1), (185, 1), (232, 1), (328, 1), (347, 1), (708, 1), (1195, 1), (1570, 1), (1572, 1), (2157, 1), (2226, 1), (2828, 1), (2977, 1), (3614, 1), (3827, 1), (4289, 1), (7171, 1), (7286, 1), (14598, 1), (14599, 1)], [(20, 1), (53, 1), (531, 1), (949, 1), (1714, 1), (2909, 1), (7171, 1), (14552, 1)], [(7, 1), (18, 1), (23, 1), (25, 1), (50, 1), (53, 2), (65, 1), (77, 1), (97, 1), (173, 1), (185, 1), (428, 1), (490, 1), (505, 1), (626, 1), (645, 1), (813, 1), (830, 1), (946, 1), (1321, 1), (1350, 1), (1879, 1), (4987, 1), (14600, 1)], [(20, 1), (23, 1), (58, 1), (64, 2), (66, 1), (77, 1), (82, 1), (178, 1), (233, 1), (857, 1), (1163, 1), (1966, 1), (3924, 1), (7286, 1)], [(19, 2), (20, 4), (22, 2), (50, 1), (58, 1), (64, 2), (89, 1), (99, 2), (117, 2), (226, 1), (232, 1), (295, 1), (324, 1), (419, 1), (434, 1), (1163, 1), (1578, 1), (1685, 1), (1714, 1), (2792, 1), (2853, 1), (2854, 1), (2925, 1), (3056, 1), (4390, 1), (4939, 1), (7171, 1), (7295, 1), (14552, 1), (14601, 1), (14602, 1)], [(19, 1), (20, 2), (25, 2), (37, 1), (53, 1), (84, 1), (85, 1), (172, 1), (295, 1), (414, 1), (434, 1), (946, 1), (1571, 1), (1685, 1), (2292, 1), (2705, 1), (2853, 1), (3083, 1), (5642, 1), (6755, 1), (14603, 1)], [(20, 2), (21, 1), (22, 1), (25, 1), (53, 2), (54, 2), (58, 2), (64, 2), (65, 2), (66, 1), (72, 1), (82, 1), (90, 1), (122, 1), (161, 1), (185, 1), (256, 1), (293, 1), (414, 1), (443, 1), (506, 2), (691, 1), (775, 1), (812, 1), (1163, 1), (1308, 1), (1322, 1), (1363, 1), (2925, 1), (7172, 1), (7173, 1), (8488, 1), (8489, 1), (9152, 1), (12006, 2), (12129, 1), (14604, 1)], [(64, 1), (65, 1), (247, 1), (14587, 1), (14604, 1)], [(99, 1), (247, 1), (3461, 1), (14605, 1)], [(88, 1), (90, 1), (247, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (53, 1), (55, 1), (295, 1), (742, 1), (1296, 1), (1615, 1), (1901, 1), (2543, 1), (14606, 1)], [(8, 2), (20, 1), (23, 2), (268, 1), (1195, 1), (1685, 1), (3701, 1), (4722, 1), (7286, 1)], [(18, 1), (21, 1), (53, 2), (66, 1), (77, 1), (95, 1), (108, 1), (117, 1), (122, 1), (232, 1), (414, 1), (1325, 1), (1578, 1), (1997, 1), (9959, 1)], [(20, 2), (30, 1), (64, 2), (117, 1), (256, 1), (759, 1), (1163, 1), (1198, 1), (1308, 1), (1434, 1), (1458, 1), (1463, 1), (1907, 1), (4022, 1), (7286, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (23, 3), (25, 1), (50, 1), (64, 1), (90, 1), (95, 1), (111, 1), (117, 1), (185, 1), (232, 1), (420, 2), (812, 1), (813, 1), (1180, 1), (1463, 2), (1583, 1), (1901, 1), (5409, 1), (7251, 1), (14607, 1)], [(20, 1), (99, 1), (410, 1), (459, 1), (596, 1), (946, 1), (949, 1), (3091, 1)], [(20, 1), (25, 1), (30, 1), (55, 1), (64, 1), (66, 1), (96, 1), (185, 1), (287, 1), (310, 1), (357, 1), (392, 1), (1615, 1), (6322, 1), (6936, 1), (7830, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 2), (50, 1), (53, 1), (55, 1), (65, 1), (75, 1), (173, 1), (269, 1), (415, 1), (426, 1), (813, 1), (2276, 1), (2889, 1), (3013, 1), (7295, 1), (9739, 1), (13062, 1), (14608, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (24, 1), (25, 2), (53, 2), (54, 3), (90, 1), (117, 1), (232, 1), (276, 1), (435, 1), (763, 1), (2077, 1), (3614, 1), (4815, 1), (5942, 1), (6765, 1), (7172, 1), (7173, 1), (7298, 1), (9152, 1), (14609, 1)], [(1544, 1), (14610, 1)], [(8, 1), (18, 2), (22, 1), (25, 2), (756, 1), (1166, 1), (2157, 1), (4683, 1), (5722, 1), (6291, 1), (6316, 1), (7295, 1), (7411, 1), (9415, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (37, 1), (53, 1), (71, 1), (90, 1), (117, 2), (122, 1), (172, 1), (185, 1), (203, 1), (232, 2), (419, 1), (632, 1), (706, 1), (756, 1), (1253, 1), (1342, 1), (1594, 1), (3296, 1), (4612, 1), (5426, 1), (6129, 1)], [(8, 1), (18, 2), (19, 2), (58, 2), (203, 1), (301, 1), (328, 1), (419, 2), (498, 1), (581, 1), (685, 1), (687, 1), (1057, 1), (1529, 1), (1615, 1), (5426, 1), (6711, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (32, 1), (53, 4), (77, 1), (108, 1), (286, 1), (415, 1), (419, 1), (454, 1), (581, 1), (706, 1), (830, 1), (948, 1), (1001, 1), (1685, 1), (1867, 1), (4296, 1), (5071, 1), (5760, 1), (11964, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (25, 1), (50, 4), (53, 4), (71, 1), (90, 1), (97, 1), (185, 1), (193, 1), (210, 1), (256, 1), (346, 1), (347, 1), (365, 1), (396, 1), (428, 1), (707, 1), (896, 1), (1041, 1), (1166, 1), (1224, 1), (1311, 1), (1342, 1), (1502, 1), (1520, 1), (1597, 1), (2246, 1), (3352, 1), (3398, 1), (3557, 1), (3763, 1), (3830, 1), (3982, 1), (5201, 1), (6129, 1), (8248, 1), (8810, 1), (11349, 1), (13521, 1), (14470, 1), (14611, 1)], [(8, 1), (18, 3), (19, 2), (20, 4), (22, 2), (25, 3), (32, 1), (37, 3), (50, 3), (53, 5), (54, 2), (71, 1), (82, 1), (90, 3), (91, 2), (108, 1), (193, 1), (217, 1), (331, 1), (347, 2), (353, 1), (361, 1), (373, 1), (443, 1), (504, 1), (654, 1), (670, 1), (707, 1), (743, 1), (756, 2), (834, 1), (1040, 1), (1102, 3), (1166, 1), (1237, 1), (1253, 1), (1322, 1), (1354, 1), (1824, 1), (2019, 1), (3448, 1), (4580, 1), (5507, 1), (5833, 1), (6020, 1), (6129, 1), (7382, 1), (7892, 1), (8876, 1), (11473, 1), (12461, 1), (13524, 1), (14324, 1), (14485, 1), (14612, 1)], [(8, 1), (54, 1), (174, 1), (185, 1), (1836, 1), (3043, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (31, 1), (117, 2), (182, 1), (232, 2), (418, 1), (459, 2), (676, 1), (913, 1), (1509, 1), (6633, 1), (7295, 1), (7411, 1), (8906, 1), (8957, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (53, 2), (65, 1), (69, 1), (193, 2), (317, 1), (600, 1), (706, 1), (711, 1), (1324, 1), (2088, 1), (2266, 1), (2344, 1), (2772, 2), (14430, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 2), (71, 1), (90, 1), (109, 1), (111, 1), (203, 1), (269, 1), (301, 1), (306, 1), (334, 1), (337, 1), (426, 1), (680, 1), (711, 1), (726, 1), (778, 1), (913, 1), (1245, 1), (1627, 1), (1856, 1), (2479, 1), (2933, 1), (4941, 1), (9516, 1), (12765, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (31, 2), (50, 1), (53, 4), (95, 1), (433, 1), (459, 1), (709, 1), (827, 1), (898, 1), (913, 1), (970, 1), (1668, 1), (2019, 1), (2039, 1), (2655, 1), (3114, 1), (3686, 1), (8192, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (31, 1), (50, 1), (53, 4), (58, 2), (90, 1), (109, 1), (173, 2), (193, 1), (215, 2), (239, 1), (241, 1), (256, 1), (310, 1), (381, 1), (388, 1), (504, 2), (688, 1), (702, 1), (763, 1), (792, 1), (903, 1), (1248, 1), (1487, 1), (1764, 1), (1856, 1), (2374, 1), (2753, 1), (3304, 1), (3916, 1), (5236, 1), (6165, 1), (7463, 1), (13124, 1), (14613, 1), (14614, 1)], [(20, 1), (64, 1), (703, 1), (1178, 1), (10101, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (50, 1), (53, 5), (54, 1), (55, 1), (97, 1), (108, 1), (109, 1), (117, 1), (232, 1), (269, 1), (305, 1), (414, 1), (443, 1), (488, 1), (632, 1), (709, 1), (827, 1), (903, 1), (913, 1), (1287, 1), (1570, 1), (3020, 1), (4326, 1), (5484, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (31, 1), (37, 1), (50, 3), (53, 4), (55, 1), (82, 1), (85, 1), (95, 1), (193, 1), (215, 1), (293, 1), (301, 1), (450, 1), (452, 1), (601, 1), (709, 1), (711, 1), (826, 1), (922, 1), (1239, 1), (1342, 1), (1498, 1), (1540, 1), (1615, 1), (1824, 1), (2038, 1), (2564, 1), (3438, 1), (7043, 1), (7208, 1), (10315, 1), (10686, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 2), (53, 3), (54, 1), (85, 1), (88, 1), (91, 1), (108, 1), (269, 1), (286, 1), (450, 1), (711, 1), (1239, 1), (1487, 1), (1520, 1), (1529, 1), (1702, 2), (2265, 1), (3022, 1), (5497, 1), (5732, 1), (5825, 1), (7895, 1), (10752, 1), (12058, 1), (13831, 1), (14583, 1), (14615, 1), (14616, 1), (14617, 1)], [(8, 1), (18, 1), (19, 1), (54, 1), (58, 1), (301, 1), (704, 1), (711, 1), (1308, 1), (1520, 1), (2825, 1), (4074, 1), (7506, 1)], [(8, 1), (18, 1), (19, 4), (20, 8), (22, 2), (25, 3), (50, 1), (53, 7), (54, 1), (58, 2), (90, 1), (95, 1), (124, 1), (215, 1), (239, 1), (293, 1), (331, 1), (414, 1), (420, 1), (441, 1), (459, 1), (497, 1), (516, 2), (680, 1), (708, 1), (709, 1), (711, 2), (776, 1), (792, 1), (913, 1), (1041, 1), (1057, 1), (1071, 1), (1081, 1), (1159, 1), (1239, 1), (1352, 1), (1415, 1), (1487, 1), (1529, 1), (1668, 1), (1856, 1), (2400, 1), (2482, 1), (2543, 1), (2716, 1), (2789, 1), (3331, 1), (3351, 1), (3480, 1), (3889, 1), (3963, 1), (4074, 1), (4282, 1), (4563, 2), (5013, 1), (5019, 1), (5739, 1), (5794, 1), (7463, 1), (13117, 1), (14618, 1), (14619, 1), (14620, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (30, 1), (45, 2), (50, 1), (53, 4), (90, 1), (95, 1), (293, 1), (301, 1), (337, 1), (418, 1), (709, 1), (710, 1), (711, 1), (898, 1), (913, 1), (1122, 1), (2348, 1), (3416, 1), (4556, 1), (4616, 1), (7434, 1), (14621, 1), (14622, 1), (14623, 1), (14624, 1), (14625, 1)], [(8, 1), (19, 1), (20, 7), (22, 1), (25, 3), (26, 1), (30, 1), (50, 1), (53, 8), (54, 1), (55, 1), (90, 3), (108, 1), (109, 1), (117, 1), (124, 2), (193, 2), (197, 1), (215, 1), (232, 1), (281, 1), (307, 1), (347, 1), (414, 1), (432, 1), (450, 1), (688, 1), (711, 1), (756, 1), (792, 1), (895, 1), (1021, 1), (1057, 1), (1070, 1), (1097, 1), (1122, 3), (1169, 1), (1253, 1), (1262, 1), (1379, 2), (1385, 1), (1467, 2), (1529, 1), (1820, 1), (2348, 1), (2479, 1), (2615, 1), (2953, 1), (4988, 1), (5708, 1), (6129, 1), (6459, 1), (7295, 1), (7299, 1), (7332, 1), (7348, 1), (7411, 1), (10607, 1), (14374, 1), (14626, 1), (14627, 1), (14628, 1), (14629, 1), (14630, 1), (14631, 1)], [(8, 1), (18, 2), (20, 2), (25, 2), (45, 2), (55, 1), (130, 1), (173, 1), (281, 1), (626, 1), (2336, 1), (2344, 1), (2359, 1), (2406, 1), (4387, 1), (7333, 1), (8814, 1), (13084, 1), (14632, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 3), (45, 1), (53, 2), (68, 1), (91, 1), (108, 1), (316, 1), (415, 1), (418, 1), (448, 1), (459, 1), (898, 1), (1238, 1), (1526, 1), (2036, 1), (3061, 1), (3264, 1), (3386, 1), (3831, 1), (4629, 1), (4941, 1), (8036, 1), (8082, 1), (9441, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (50, 2), (51, 1), (53, 2), (55, 2), (64, 1), (82, 1), (96, 1), (185, 1), (193, 1), (233, 1), (236, 1), (293, 1), (377, 1), (448, 1), (645, 1), (654, 1), (1163, 1), (1498, 1), (1685, 1), (2202, 1), (2660, 1), (6524, 1), (7295, 1), (10635, 1), (11863, 1), (14633, 1), (14634, 1)], [(55, 1), (58, 1), (64, 1), (946, 1), (14635, 1)], [(18, 2), (20, 5), (22, 1), (25, 1), (31, 1), (53, 4), (64, 1), (90, 3), (97, 1), (99, 2), (117, 3), (193, 1), (225, 1), (232, 3), (233, 1), (256, 1), (373, 1), (414, 2), (448, 1), (581, 1), (632, 1), (706, 1), (709, 2), (756, 2), (776, 1), (792, 2), (809, 2), (812, 3), (922, 1), (946, 1), (1159, 1), (1166, 1), (1239, 1), (1253, 1), (1328, 1), (1342, 1), (2523, 1), (3079, 1), (4567, 1), (4568, 1), (7295, 1), (7392, 1), (7411, 1), (12753, 1), (14636, 1)], [(64, 1), (82, 1), (1714, 1), (1845, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 2), (25, 1), (37, 1), (50, 1), (64, 1), (90, 1), (117, 2), (173, 1), (256, 1), (293, 1), (355, 1), (410, 1), (675, 1), (759, 1), (1907, 1), (2030, 1), (3034, 2), (3091, 1), (5119, 1), (6786, 1), (11980, 1), (14637, 1)], [(8, 1), (19, 1), (23, 1), (53, 1), (117, 1), (173, 1), (193, 1), (268, 1), (275, 1), (301, 1), (342, 1), (709, 1), (1829, 1), (2178, 1), (2344, 1), (2854, 1)], [(8, 1), (20, 1), (23, 1), (90, 1), (117, 1), (516, 1), (759, 1), (1350, 1), (1907, 1), (2901, 1), (7295, 1)], [(18, 2), (20, 1), (40, 1), (45, 1), (50, 2), (77, 1), (90, 1), (99, 1), (117, 1), (232, 1), (288, 1), (428, 1), (706, 1), (813, 1), (946, 1), (2858, 1), (4295, 1), (7226, 1), (7295, 1), (9057, 1), (14638, 1)], [(30, 1), (64, 1), (247, 1), (12959, 1)], [(7, 2), (18, 3), (20, 4), (22, 2), (23, 3), (25, 2), (30, 1), (37, 1), (40, 1), (50, 2), (53, 2), (55, 1), (173, 1), (190, 1), (193, 2), (247, 1), (256, 1), (268, 1), (269, 1), (310, 1), (328, 1), (365, 1), (428, 1), (504, 1), (582, 1), (687, 1), (812, 1), (1137, 1), (1170, 2), (1198, 1), (1224, 1), (1354, 1), (1393, 1), (1615, 1), (1693, 1), (2276, 1), (2299, 1), (2320, 1), (2479, 1), (2965, 1), (4939, 1), (7411, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (31, 1), (53, 1), (71, 1), (88, 1), (90, 1), (167, 1), (7411, 1), (11980, 1), (14639, 1)], [(25, 1), (45, 1), (90, 1), (99, 1), (217, 1), (410, 1), (414, 1), (709, 1), (1324, 1), (1336, 1), (1363, 1), (1498, 1), (1714, 1), (1884, 1), (2048, 1), (5568, 1), (5569, 1), (9679, 1)], [(8, 1), (20, 1), (23, 1), (36, 1), (53, 1), (117, 1), (167, 1), (232, 1), (273, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (24, 1), (31, 1), (34, 1), (45, 2), (50, 1), (58, 2), (77, 1), (85, 1), (99, 1), (117, 1), (173, 2), (186, 1), (623, 1), (759, 1), (1324, 1), (1668, 1), (1756, 1), (1877, 1), (1907, 1), (2149, 1), (2197, 1), (2292, 1), (3182, 1), (11971, 1), (14640, 1)], [(30, 1), (247, 1), (6594, 1)], [(19, 1), (20, 1), (23, 1), (32, 1), (45, 1), (50, 2), (53, 1), (58, 1), (66, 1), (90, 1), (117, 1), (173, 1), (232, 1), (342, 1), (428, 1), (1836, 1), (2029, 1), (2313, 1), (3924, 1), (8558, 1), (14641, 1)], [(20, 1), (31, 1), (36, 1), (45, 1), (64, 1), (117, 1), (173, 1), (485, 1), (759, 1), (1714, 1), (1907, 1), (2313, 1)], [(18, 1), (22, 1), (23, 1), (30, 1), (31, 1), (36, 1), (50, 2), (66, 1), (117, 2), (161, 1), (182, 1), (256, 1), (759, 1), (1698, 1), (1910, 1), (2324, 1), (3048, 1), (3069, 1), (3083, 1), (6931, 1), (14642, 1)], [(20, 3), (22, 1), (25, 1), (31, 1), (34, 1), (45, 1), (50, 2), (53, 2), (58, 2), (64, 1), (66, 1), (117, 1), (173, 1), (220, 1), (232, 1), (295, 1), (310, 1), (597, 1), (623, 1), (1165, 1), (1685, 1), (1698, 1), (1877, 1), (2780, 1), (7114, 1)], [(19, 1), (30, 1), (51, 1), (53, 1), (55, 1), (64, 1), (108, 1), (117, 1), (172, 1), (232, 1), (289, 1), (293, 1), (596, 1), (645, 1), (946, 1), (1685, 1)], [(18, 2), (20, 1), (23, 1), (64, 1), (66, 1), (111, 1), (186, 1), (2442, 1), (14643, 1), (14644, 1), (14645, 1)], [(64, 1), (96, 1), (410, 1), (946, 1), (1683, 1), (14646, 1)], [(1, 1), (4, 1), (19, 2), (20, 7), (25, 3), (30, 2), (34, 1), (45, 2), (50, 1), (51, 1), (53, 2), (64, 1), (66, 1), (77, 2), (90, 2), (111, 2), (117, 1), (167, 1), (173, 1), (295, 1), (328, 1), (337, 1), (645, 1), (702, 1), (756, 1), (813, 1), (897, 1), (1122, 1), (1324, 1), (1615, 1), (1628, 1), (1685, 1), (1845, 1), (1855, 1), (1901, 1), (2320, 1), (2343, 1), (2854, 1), (2870, 1), (3803, 1), (10515, 1), (12997, 1), (14645, 1)], [(64, 1), (247, 1), (14647, 1)], [(20, 1), (22, 1), (90, 1), (99, 1), (214, 1), (288, 1), (581, 1), (946, 1), (1685, 1), (3917, 1), (7295, 1), (11980, 1)], [(8, 1), (18, 2), (20, 4), (23, 2), (25, 1), (53, 1), (64, 1), (77, 1), (117, 1), (167, 1), (256, 1), (269, 1), (295, 1), (759, 1), (1907, 1), (2145, 1), (2901, 1), (3034, 1), (3495, 1), (4922, 1), (7411, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (45, 1), (51, 2), (53, 2), (54, 1), (65, 1), (173, 1), (193, 1), (215, 1), (258, 1), (273, 1), (288, 1), (410, 1), (428, 1), (504, 1), (623, 1), (709, 1), (711, 1), (776, 1), (1587, 1), (1845, 1), (2126, 1), (2348, 1), (6133, 1), (6177, 1), (6649, 1), (14648, 1), (14649, 1), (14650, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (54, 1), (96, 1), (167, 1), (173, 2), (193, 1), (1587, 1), (2013, 1), (3250, 1), (5527, 1)], [(20, 3), (23, 1), (24, 1), (25, 1), (45, 1), (117, 1), (167, 1), (186, 1), (2490, 1), (2853, 1), (4797, 1), (5671, 1), (8650, 1), (14650, 1)], [(108, 1), (117, 1), (596, 1), (4779, 1)], [(8, 1), (51, 1), (53, 1), (2490, 1), (14649, 1)], [(19, 1), (20, 1), (23, 1), (30, 1), (50, 1), (53, 1), (77, 1), (90, 1), (117, 1), (167, 1), (596, 1), (2245, 1), (2490, 1), (2853, 1), (3061, 1), (3221, 1), (4794, 1), (4797, 1), (4803, 1), (5788, 1), (6379, 1)], [(7, 1), (8, 1), (20, 3), (21, 1), (23, 1), (25, 1), (30, 2), (31, 1), (53, 4), (55, 1), (92, 1), (95, 1), (117, 3), (167, 1), (173, 1), (185, 1), (269, 1), (307, 1), (345, 1), (504, 1), (691, 1), (759, 1), (1755, 1), (2269, 1), (2490, 1), (2498, 1), (2854, 1), (3083, 1), (4794, 1), (7411, 1), (8041, 1), (8650, 1), (12337, 1), (13781, 1), (14649, 1)], [(21, 1), (37, 1), (99, 1), (117, 1), (301, 1), (328, 1), (759, 1), (1170, 1), (1714, 1), (2011, 1), (2467, 1), (2855, 1)], [(20, 3), (25, 1), (53, 1), (66, 1), (95, 1), (117, 1), (232, 1), (498, 1), (897, 1), (1615, 1), (2013, 1), (7208, 1), (7382, 1), (9896, 1)], [(20, 2), (23, 3), (53, 2), (55, 1), (64, 2), (66, 1), (99, 1), (117, 1), (193, 1), (215, 1), (233, 1), (256, 1), (342, 1), (418, 1), (420, 1), (433, 1), (448, 1), (450, 1), (459, 2), (581, 1), (709, 1), (744, 1), (759, 1), (913, 1), (1139, 1), (1163, 1), (1557, 1), (1884, 1), (2344, 1), (2826, 1), (3681, 2), (4920, 1), (6284, 1), (7411, 1)], [(64, 1), (1327, 1), (1714, 1), (13096, 1)], [(50, 1), (65, 1), (834, 1), (1248, 1), (1505, 1), (1714, 1), (1767, 1), (14651, 1), (14652, 1)], [(20, 1), (58, 1), (295, 1), (328, 1), (1714, 1), (4297, 1), (7226, 1), (7411, 1)], [(23, 1), (295, 1), (792, 1), (946, 1), (3182, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (50, 1), (58, 1), (64, 1), (164, 1), (392, 1), (726, 1), (744, 1), (812, 1), (1102, 1), (1165, 1), (2030, 1)], [(20, 4), (32, 3), (50, 1), (53, 2), (54, 2), (77, 1), (90, 2), (99, 3), (167, 1), (273, 1), (301, 1), (414, 1), (506, 1), (922, 1), (946, 1), (1363, 1), (1685, 1), (1731, 1), (2145, 1), (2442, 1), (5052, 1), (6129, 1), (7295, 1)], [(23, 1), (53, 1), (64, 1), (90, 1), (95, 1), (185, 1), (645, 1), (810, 1), (922, 1), (1714, 1), (2159, 1), (8459, 1)], [(22, 1), (40, 2), (53, 2), (54, 1), (90, 1), (108, 1), (117, 1), (167, 2), (323, 1), (759, 1), (893, 1), (1714, 1), (2030, 1), (3476, 1), (14653, 1)], [(18, 1), (34, 1), (40, 1), (53, 1), (99, 1), (108, 1), (161, 1), (167, 1), (1714, 1), (3350, 1), (7226, 1), (14064, 1), (14338, 1)], [(18, 2), (19, 1), (20, 1), (53, 2), (65, 1), (99, 1), (117, 2), (167, 1), (173, 1), (225, 1), (232, 1), (331, 1), (428, 2), (504, 1), (581, 1), (759, 1), (1615, 1), (1714, 1), (1889, 1), (1907, 1), (2442, 1), (3684, 1), (4729, 1), (14654, 1), (14655, 1), (14656, 1)], [(8, 1), (20, 1), (90, 1), (506, 1), (1195, 1), (1744, 1)], [(946, 1), (7411, 1)], [(20, 1), (51, 1), (64, 1), (77, 1), (99, 1), (946, 1), (1347, 1), (1685, 1), (2442, 1), (7295, 1), (11980, 1)], [(34, 1), (64, 1), (90, 1), (99, 1), (328, 1), (946, 1), (1336, 1), (8453, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 3), (25, 1), (31, 2), (32, 1), (34, 1), (37, 1), (53, 4), (55, 1), (64, 1), (71, 1), (88, 1), (90, 3), (99, 1), (108, 1), (117, 4), (232, 3), (240, 2), (269, 1), (317, 1), (709, 1), (759, 1), (864, 1), (1137, 1), (1685, 1), (1867, 1), (1892, 1), (2543, 1), (3248, 1), (3278, 1), (3652, 1), (4249, 1), (6129, 1), (8037, 1), (11980, 1), (14657, 1)], [(19, 1), (31, 1), (37, 1), (53, 1), (66, 1), (117, 1), (759, 1), (864, 1), (878, 1), (885, 1), (1966, 2), (2876, 1), (3043, 1), (3852, 1), (3931, 1), (14657, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (23, 1), (32, 1), (34, 1), (64, 1), (65, 1), (90, 1), (99, 3), (226, 1), (236, 1), (301, 1), (365, 1), (504, 1), (687, 1), (691, 1), (884, 1), (1731, 1), (2178, 1), (2374, 1), (3083, 1), (5451, 1), (7295, 1), (11980, 1), (12081, 1)], [(19, 3), (20, 3), (21, 1), (25, 1), (30, 1), (37, 1), (40, 1), (50, 1), (51, 1), (58, 1), (77, 1), (90, 1), (96, 1), (108, 1), (117, 1), (173, 2), (190, 1), (215, 1), (232, 1), (293, 1), (346, 1), (504, 2), (506, 1), (702, 1), (834, 1), (864, 1), (1685, 1), (1714, 1), (1764, 1), (2145, 1), (2178, 1), (2962, 1), (3476, 1), (4251, 1), (6379, 1)], [(18, 1), (20, 1), (30, 1), (64, 1), (66, 1), (248, 1), (2178, 1), (12549, 1), (14658, 1)], [(64, 1), (66, 1), (117, 1), (173, 1), (301, 1), (626, 1), (1075, 1), (3684, 1)], [(22, 1), (25, 1), (30, 2), (64, 1), (66, 1), (1458, 1), (2515, 1), (10543, 1), (12549, 1)], [(19, 1), (20, 2), (21, 2), (25, 1), (45, 1), (58, 1), (64, 1), (88, 1), (96, 1), (99, 2), (173, 1), (428, 1), (706, 1), (743, 1), (897, 1), (946, 1), (1102, 1), (3063, 1), (3162, 1), (10443, 1), (14659, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (22, 1), (23, 2), (25, 1), (30, 2), (31, 2), (34, 1), (45, 1), (50, 1), (53, 3), (58, 1), (64, 1), (70, 1), (90, 1), (108, 1), (117, 3), (173, 3), (174, 1), (232, 1), (261, 1), (289, 1), (293, 1), (310, 1), (328, 1), (414, 1), (498, 1), (516, 1), (691, 1), (743, 1), (744, 1), (759, 1), (815, 1), (1075, 1), (1139, 2), (1171, 1), (1458, 1), (1529, 1), (1571, 1), (1630, 1), (1995, 1), (2401, 1), (2977, 1), (3278, 1), (3852, 1), (4729, 1), (5198, 1), (8599, 1), (14654, 1), (14660, 1), (14661, 1)], [(20, 1), (22, 1), (23, 1), (50, 1), (53, 2), (99, 1), (117, 1), (167, 2), (293, 1), (910, 1), (1714, 1), (2442, 1), (3073, 1), (7411, 1), (8500, 1)], [(18, 1), (20, 6), (22, 1), (25, 2), (30, 6), (31, 1), (37, 1), (50, 1), (51, 1), (53, 3), (55, 1), (65, 1), (90, 1), (108, 1), (117, 3), (167, 1), (173, 2), (215, 1), (232, 1), (256, 1), (287, 1), (323, 1), (410, 1), (759, 1), (910, 1), (1075, 1), (1115, 2), (1714, 1), (2010, 1), (2140, 1), (3300, 1), (4390, 1), (5409, 1), (7045, 1), (12292, 1), (13420, 1), (14167, 1), (14538, 1), (14649, 1), (14662, 1), (14663, 1), (14664, 1), (14665, 1), (14666, 1)], [(18, 1), (117, 1), (232, 1), (351, 1), (1178, 1), (14649, 1)], [(19, 1), (64, 1), (99, 1), (946, 1), (1336, 1), (1904, 1), (2442, 1), (6315, 1), (6524, 1), (11980, 1), (14667, 1)], [(23, 1), (58, 1), (64, 1), (1336, 1), (1714, 1), (2442, 1)], [(8, 1), (20, 1), (58, 1), (117, 1), (174, 1), (307, 1), (2705, 1), (2854, 1), (3034, 1), (7411, 1)], [(7, 2), (18, 3), (19, 2), (20, 10), (21, 2), (22, 3), (23, 5), (25, 6), (30, 3), (31, 1), (32, 1), (34, 2), (45, 6), (50, 2), (52, 1), (53, 5), (58, 2), (65, 1), (66, 1), (85, 1), (88, 2), (90, 2), (99, 2), (108, 1), (117, 4), (161, 1), (173, 3), (178, 1), (190, 1), (193, 1), (226, 1), (242, 1), (273, 1), (301, 1), (345, 1), (414, 2), (420, 1), (428, 1), (452, 1), (504, 2), (623, 3), (654, 1), (691, 1), (702, 1), (708, 2), (744, 1), (759, 1), (885, 1), (897, 1), (1170, 1), (1377, 1), (1485, 1), (1670, 1), (1685, 2), (1731, 1), (1764, 2), (1766, 1), (1907, 1), (1964, 1), (2005, 1), (2023, 1), (2036, 1), (2292, 1), (2467, 1), (2515, 1), (2854, 3), (2913, 1), (3072, 1), (3182, 1), (3355, 1), (3630, 1), (4062, 1), (4734, 1), (6399, 1), (6684, 1), (7255, 1), (7315, 1), (8285, 1), (12330, 1), (14668, 1), (14669, 1), (14670, 1), (14671, 1)], [(20, 1), (53, 1), (55, 1), (64, 1), (96, 1), (99, 1), (190, 1), (331, 1), (623, 1), (946, 1), (1685, 1), (7295, 1)], [(55, 1), (58, 1), (64, 1), (1336, 1), (1714, 1)], [(58, 1), (96, 1), (108, 1), (419, 1), (420, 1), (531, 1), (946, 1), (1250, 1), (1587, 1), (1615, 1), (1902, 1), (2016, 1), (9499, 1), (14672, 1)], [(20, 3), (25, 1), (37, 1), (64, 1), (96, 1), (99, 2), (172, 1), (217, 1), (273, 1), (346, 1), (946, 1), (1685, 1), (1898, 1), (2543, 1), (3091, 1), (7295, 1)], [(20, 1), (53, 1), (64, 1), (66, 1), (82, 1), (111, 1), (193, 1), (214, 1), (226, 1), (419, 1), (709, 1), (1898, 1), (14673, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 1), (30, 1), (53, 2), (95, 1), (108, 1), (226, 1), (348, 1), (414, 1), (415, 1), (459, 2), (632, 1), (713, 1), (913, 1), (1139, 1), (2222, 1), (4567, 1), (5482, 1), (6309, 1), (8148, 1), (9915, 1), (14674, 1)], [(23, 1), (64, 1), (99, 1), (117, 1), (293, 1), (759, 1), (946, 1), (2145, 1), (5601, 1)], [(20, 1), (22, 1), (34, 1), (64, 1), (66, 1), (90, 1), (95, 1), (99, 1), (117, 3), (185, 1), (186, 1), (232, 2), (233, 1), (545, 1), (706, 1), (970, 1), (1627, 1), (2686, 1), (2854, 1), (3162, 1), (7411, 1), (12753, 1)], [(8, 1), (20, 1), (94, 1), (117, 1), (232, 1), (359, 1), (1342, 1), (2178, 1), (2362, 1), (3091, 1), (7411, 1)], [(7, 1), (8, 1), (20, 5), (22, 1), (32, 1), (50, 1), (53, 3), (95, 1), (99, 1), (117, 1), (209, 1), (232, 1), (240, 1), (260, 1), (307, 1), (433, 1), (706, 1), (777, 1), (830, 1), (1102, 1), (1159, 1), (1322, 1), (1481, 1), (2048, 1), (2479, 1), (5068, 1), (6129, 1), (6213, 1), (7463, 1), (13117, 1), (14386, 1), (14510, 1), (14675, 1), (14676, 1)], [(8, 1), (20, 4), (22, 2), (25, 1), (31, 3), (32, 1), (53, 1), (90, 1), (99, 3), (117, 2), (178, 1), (232, 2), (241, 1), (256, 2), (269, 1), (287, 1), (414, 2), (415, 1), (420, 1), (452, 1), (626, 1), (632, 2), (697, 1), (702, 1), (706, 1), (777, 1), (1458, 1), (2329, 1), (13312, 2), (14677, 1), (14678, 1)], [(8, 1), (20, 1), (40, 1), (108, 1), (373, 1), (448, 1), (2515, 1), (4789, 1), (10578, 1), (14679, 1)], [(20, 1), (247, 1), (295, 1), (1583, 1), (6671, 1)], [(8, 1), (20, 1), (25, 2), (37, 1), (65, 1), (99, 1), (190, 1), (206, 1), (897, 1), (970, 1), (1481, 1), (1558, 1), (2365, 1), (4251, 1), (5719, 1), (9779, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (25, 2), (26, 1), (31, 3), (37, 1), (46, 1), (50, 3), (53, 10), (55, 1), (65, 1), (72, 1), (77, 2), (88, 1), (93, 1), (95, 2), (96, 1), (195, 1), (214, 1), (215, 1), (240, 1), (256, 1), (359, 1), (414, 1), (420, 1), (422, 1), (443, 1), (703, 1), (706, 1), (708, 1), (709, 1), (790, 1), (922, 1), (970, 1), (1308, 1), (2007, 1), (2064, 1), (2184, 1), (2401, 1), (2886, 1), (2985, 1), (3577, 1), (3879, 1), (4450, 1), (5391, 1), (5565, 1), (6213, 1), (7382, 1), (8876, 1), (9239, 1), (9508, 1), (9621, 1), (9926, 1), (12753, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (185, 1), (195, 1), (217, 1), (301, 1), (347, 1), (516, 1), (527, 1), (3181, 1), (4296, 1)], [(8, 1), (18, 3), (22, 1), (24, 1), (25, 1), (50, 2), (53, 1), (65, 1), (82, 1), (187, 1), (347, 1), (706, 1), (709, 1), (884, 1), (1171, 1), (2070, 1), (2261, 1), (2479, 1), (5011, 1), (5969, 1), (8280, 1), (8481, 1), (14680, 1), (14681, 1), (14682, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (31, 1), (40, 1), (45, 1), (53, 3), (54, 1), (75, 1), (95, 1), (109, 1), (117, 1), (224, 1), (229, 1), (232, 1), (328, 1), (338, 1), (706, 1), (970, 1), (2615, 1), (2638, 1), (3177, 1), (3305, 1), (4432, 1), (7332, 1), (11980, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (25, 1), (37, 1), (45, 1), (53, 2), (54, 1), (55, 1), (58, 1), (90, 1), (117, 2), (193, 1), (232, 2), (293, 1), (328, 1), (331, 1), (504, 1), (800, 1), (903, 1), (1308, 1), (1529, 1), (3403, 1), (4401, 2), (5233, 1), (6315, 2), (6395, 1), (14683, 2), (14684, 1)], [(8, 1), (20, 2), (37, 1), (53, 1), (91, 1), (206, 1), (209, 1), (399, 1), (414, 1), (459, 1), (487, 1), (1506, 1), (3330, 1), (3435, 1), (10687, 1), (13891, 1), (14685, 1), (14686, 1)], [(1544, 1), (14687, 1)], [(8, 1), (21, 1), (24, 1), (117, 1), (232, 1), (756, 1), (1253, 1), (8102, 1), (14688, 1), (14689, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (32, 1), (84, 1), (91, 1), (187, 1), (214, 1), (229, 1), (325, 1), (329, 2), (334, 1), (418, 1), (434, 1), (450, 1), (498, 1), (1465, 1), (1481, 1), (2324, 1), (5336, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (50, 1), (53, 4), (214, 1), (407, 1), (756, 2), (902, 1), (1130, 1), (1166, 1), (1253, 1), (1348, 1), (3319, 1), (8053, 1), (14690, 1), (14691, 1)], [(7, 1), (8, 1), (53, 1), (187, 1), (214, 1), (530, 1), (645, 1), (1308, 1), (3835, 1), (5224, 1)], [(8, 1), (20, 1), (37, 1), (46, 1), (50, 2), (53, 4), (95, 1), (418, 1), (553, 1), (711, 1), (4296, 1), (5874, 1), (8948, 1), (14692, 1)], [(7, 1), (18, 2), (19, 3), (20, 3), (22, 2), (23, 1), (25, 2), (31, 1), (50, 1), (53, 4), (77, 2), (91, 1), (99, 1), (109, 2), (117, 1), (185, 1), (190, 1), (196, 1), (209, 1), (215, 2), (226, 1), (232, 1), (269, 1), (287, 1), (415, 1), (419, 1), (450, 1), (516, 1), (632, 1), (687, 1), (706, 1), (743, 1), (830, 1), (833, 1), (1129, 1), (1139, 1), (1296, 1), (1416, 1), (1481, 1), (1629, 1), (1714, 1), (2036, 1), (2037, 1), (2064, 1), (2418, 1), (2586, 1), (3034, 1), (4575, 1), (4815, 1), (5385, 1), (5426, 1), (6129, 1), (6464, 1), (8980, 1), (9480, 1), (13064, 1), (14693, 1)], [(7, 1), (8, 1), (20, 1), (53, 2), (99, 1), (206, 1), (214, 1), (359, 1), (763, 1), (1477, 1), (1481, 1), (1909, 1), (2036, 1), (2184, 1), (3002, 1)], [(8, 1), (18, 1), (22, 1), (31, 2), (37, 1), (53, 2), (77, 1), (97, 1), (117, 2), (214, 1), (232, 2), (256, 1), (328, 1), (526, 1), (756, 2), (1166, 1), (1253, 1), (1854, 1), (1966, 1), (4883, 1), (6073, 1), (7030, 1), (14694, 1), (14695, 1), (14696, 1)], [(8, 1), (31, 1), (53, 1), (77, 1), (117, 1), (124, 1), (232, 1), (351, 1), (706, 1), (756, 1), (1253, 1), (3808, 1)], [(8, 1), (19, 1), (20, 2), (30, 1), (31, 1), (50, 1), (53, 1), (58, 1), (99, 2), (209, 1), (1024, 1), (1287, 1), (1620, 1), (3883, 1), (7181, 1), (7745, 1), (9309, 1), (9840, 1)], [(7, 1), (8, 1), (20, 3), (25, 2), (45, 1), (50, 2), (53, 3), (77, 1), (185, 1), (193, 1), (278, 1), (359, 1), (706, 1), (829, 1), (1074, 1), (1914, 1), (2007, 1), (3591, 1), (4249, 1), (4296, 1), (6014, 1), (6347, 1), (7745, 1), (7839, 1), (8216, 1), (8482, 1), (9625, 1)], [(18, 1), (20, 1), (53, 1), (64, 1), (65, 1), (66, 1), (77, 1), (95, 1), (96, 1), (173, 1), (359, 1), (940, 1), (1485, 1), (3633, 1), (4463, 1), (7206, 1), (11965, 1)], [(8, 1), (20, 2), (21, 1), (25, 1), (31, 1), (32, 1), (53, 3), (77, 1), (96, 1), (202, 1), (206, 1), (220, 1), (407, 1), (418, 1), (434, 1), (496, 1), (852, 1), (853, 1), (1481, 1), (4609, 1), (10857, 1), (12160, 1), (14697, 1)], [(8, 1), (18, 2), (19, 2), (20, 5), (22, 1), (25, 1), (34, 1), (37, 1), (50, 4), (53, 5), (58, 1), (71, 1), (77, 1), (85, 1), (95, 1), (97, 1), (99, 3), (117, 2), (190, 1), (193, 1), (208, 1), (220, 2), (232, 2), (285, 1), (293, 1), (310, 1), (414, 1), (504, 1), (626, 1), (632, 1), (706, 2), (707, 1), (876, 1), (974, 1), (1088, 1), (1535, 1), (2235, 1), (2344, 1), (2366, 1), (2751, 1), (2768, 1), (3806, 1), (4738, 1), (14698, 1), (14699, 1)], [(8, 1), (20, 3), (34, 1), (50, 1), (53, 1), (58, 1), (77, 2), (90, 1), (95, 1), (97, 1), (109, 1), (117, 1), (124, 1), (173, 2), (185, 1), (232, 1), (261, 1), (268, 1), (269, 1), (346, 1), (531, 1), (581, 2), (812, 1), (833, 1), (1393, 1), (1449, 1), (2070, 1), (2127, 2), (2655, 1), (5378, 1), (7208, 1), (14700, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 1), (50, 2), (53, 2), (55, 1), (58, 1), (90, 1), (92, 1), (95, 1), (98, 1), (99, 3), (108, 1), (117, 2), (232, 2), (244, 1), (261, 1), (285, 1), (288, 1), (324, 1), (359, 1), (645, 1), (792, 1), (830, 1), (1865, 1), (2514, 2), (2751, 1), (4286, 1), (5378, 1), (9975, 1), (14204, 1), (14701, 1)], [(8, 1), (22, 1), (25, 1), (31, 1), (50, 3), (53, 1), (58, 1), (65, 1), (90, 1), (99, 1), (124, 1), (166, 1), (169, 1), (285, 1), (410, 1), (448, 1), (607, 2), (632, 1), (686, 1), (1055, 1), (1239, 1), (1308, 1), (1668, 1), (1720, 1), (2705, 1), (4666, 1), (7506, 1), (9828, 1)], [(8, 1), (19, 1), (20, 3), (30, 1), (31, 1), (34, 1), (55, 1), (71, 1), (82, 1), (99, 3), (109, 1), (124, 1), (161, 1), (173, 1), (281, 1), (285, 1), (324, 1), (361, 1), (433, 1), (459, 2), (504, 1), (686, 1), (833, 1), (869, 1), (1720, 1), (2340, 1), (4583, 1), (6221, 1), (6650, 1), (6918, 1), (7465, 1), (14702, 1), (14703, 1)], [(10, 1), (18, 2), (19, 1), (20, 7), (21, 1), (22, 1), (45, 1), (50, 1), (53, 2), (58, 1), (77, 1), (90, 1), (96, 2), (98, 1), (99, 1), (108, 1), (172, 1), (193, 1), (256, 2), (261, 1), (285, 1), (293, 1), (359, 1), (418, 2), (441, 1), (632, 1), (645, 1), (886, 1), (922, 1), (1082, 1), (1342, 1), (1714, 1), (2785, 1), (4062, 1), (5793, 1), (14704, 1), (14705, 2)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 7), (22, 2), (23, 1), (25, 1), (27, 1), (31, 2), (32, 1), (50, 4), (53, 5), (82, 1), (90, 1), (91, 1), (95, 1), (97, 2), (117, 1), (185, 1), (203, 1), (214, 2), (215, 3), (228, 1), (232, 1), (261, 2), (269, 1), (293, 2), (334, 1), (342, 1), (407, 1), (415, 1), (418, 2), (450, 1), (516, 1), (581, 1), (704, 1), (706, 1), (711, 1), (871, 1), (1129, 1), (1393, 1), (1529, 1), (1754, 1), (1816, 1), (1873, 1), (2036, 1), (3416, 1), (3421, 1), (4138, 1), (4619, 1), (5236, 1), (5378, 1), (5957, 1), (6395, 1), (7669, 1), (8069, 1), (8266, 1), (9545, 1), (9829, 1), (10699, 1), (10844, 1), (11002, 1), (12183, 1), (14331, 1), (14534, 1), (14706, 1), (14707, 1), (14708, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (24, 1), (25, 2), (30, 1), (34, 1), (37, 1), (71, 1), (90, 1), (95, 1), (185, 1), (203, 2), (269, 1), (414, 2), (632, 2), (1529, 1), (1816, 2), (2036, 1), (2265, 1), (2283, 1), (3986, 1), (4299, 1), (4525, 2), (14709, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 1), (45, 1), (53, 1), (55, 1), (56, 1), (65, 1), (71, 1), (85, 1), (108, 1), (109, 1), (233, 1), (414, 1), (418, 1), (830, 1), (1170, 1), (2371, 1), (2492, 1), (4622, 1), (5358, 1), (6036, 1), (9691, 1), (14710, 1)], [(8, 1), (20, 3), (53, 2), (55, 1), (95, 1), (206, 1), (214, 1), (239, 1), (256, 1), (301, 1), (316, 1), (418, 2), (1854, 1), (2338, 1), (4525, 1), (4526, 1), (9926, 1), (14710, 1), (14711, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (22, 1), (25, 1), (31, 3), (50, 1), (53, 3), (71, 2), (77, 1), (95, 1), (106, 1), (117, 1), (232, 1), (261, 1), (387, 1), (448, 1), (1594, 1), (2029, 1), (3411, 1), (3727, 1), (4073, 1), (4612, 1), (5430, 1), (9238, 1), (14712, 1)], [(8, 1), (25, 1), (53, 1), (71, 1), (126, 1), (185, 1), (210, 1), (215, 1), (237, 1), (407, 1), (601, 1), (1196, 1), (2211, 1), (3330, 1), (3495, 1), (4145, 1), (9829, 1), (14713, 1)], [(8, 1), (18, 1), (23, 1), (55, 1), (71, 1), (203, 1), (301, 1), (1723, 1), (4455, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (30, 1), (31, 1), (50, 1), (53, 2), (77, 2), (90, 1), (117, 1), (173, 1), (174, 1), (188, 1), (214, 2), (215, 1), (232, 1), (241, 1), (261, 1), (307, 1), (430, 1), (645, 1), (897, 1), (1072, 1), (2039, 1), (2365, 1), (2912, 1), (3140, 2), (5325, 1), (9975, 1), (14714, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (21, 2), (22, 1), (25, 3), (30, 2), (31, 1), (50, 2), (53, 1), (58, 1), (77, 1), (88, 1), (89, 1), (90, 1), (108, 1), (111, 1), (117, 1), (161, 2), (173, 1), (190, 1), (193, 2), (201, 2), (232, 1), (269, 3), (415, 1), (418, 1), (487, 2), (504, 1), (531, 1), (581, 1), (632, 2), (694, 1), (711, 1), (812, 1), (829, 1), (922, 1), (1102, 1), (1129, 1), (1342, 1), (1475, 1), (1570, 1), (1594, 1), (1929, 1), (1998, 1), (3121, 1), (3419, 1), (3641, 1), (3828, 1), (4791, 1), (6347, 1), (11717, 1), (14391, 1), (14715, 1)], [(7, 1), (8, 1), (18, 2), (19, 4), (20, 4), (22, 1), (25, 1), (31, 2), (32, 1), (34, 1), (50, 2), (53, 1), (58, 1), (71, 1), (91, 1), (99, 1), (109, 1), (190, 1), (206, 1), (215, 1), (269, 1), (301, 1), (324, 2), (414, 1), (415, 1), (418, 1), (504, 1), (702, 1), (744, 1), (842, 1), (897, 1), (902, 1), (1129, 1), (1269, 1), (1305, 1), (1594, 1), (1873, 1), (1988, 1), (2283, 1), (2809, 1), (3750, 1), (3986, 1), (5247, 1), (9975, 1), (14716, 1), (14717, 1)], [(20, 2), (53, 1), (55, 1), (58, 1), (77, 1), (95, 1), (897, 1), (1347, 1), (1714, 1)], [(20, 8), (22, 1), (25, 2), (27, 1), (30, 1), (31, 2), (45, 2), (50, 2), (53, 2), (77, 1), (90, 1), (117, 1), (124, 1), (173, 1), (193, 1), (203, 1), (232, 1), (256, 1), (261, 1), (269, 2), (289, 1), (293, 1), (414, 1), (415, 1), (418, 1), (531, 1), (581, 1), (632, 1), (645, 1), (833, 1), (904, 1), (922, 1), (1294, 1), (1342, 1), (1416, 1), (1714, 1), (2039, 1), (2127, 1), (2479, 1), (2686, 1), (4525, 1), (5825, 1), (8219, 1), (8707, 1), (9588, 1), (10548, 1), (11659, 1), (11717, 1), (14391, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (30, 1), (31, 2), (50, 1), (53, 1), (58, 1), (77, 1), (92, 1), (173, 1), (215, 2), (287, 1), (387, 1), (418, 1), (459, 1), (504, 1), (581, 1), (645, 1), (869, 1), (897, 1), (2053, 1), (4525, 1), (6650, 1), (9588, 1), (14718, 1), (14719, 1), (14720, 1)], [(8, 1), (20, 2), (31, 1), (77, 1), (161, 1), (185, 1), (328, 1), (874, 1), (3043, 1), (11425, 1), (14721, 1), (14722, 1)], [(7, 2), (8, 1), (19, 3), (20, 4), (22, 2), (23, 1), (25, 2), (31, 1), (37, 1), (50, 3), (52, 1), (53, 3), (58, 1), (71, 1), (90, 2), (91, 1), (97, 1), (109, 1), (111, 1), (122, 1), (185, 1), (187, 2), (203, 1), (225, 1), (256, 2), (293, 1), (342, 1), (404, 1), (420, 1), (448, 1), (450, 1), (506, 1), (531, 1), (744, 1), (830, 1), (903, 1), (913, 1), (1248, 1), (1464, 1), (2029, 1), (2440, 1), (2686, 1), (3431, 1), (3842, 1), (5642, 1), (5871, 1), (6673, 1), (8069, 1), (9828, 1), (10083, 1), (10639, 1), (12051, 1), (12325, 1), (12485, 1), (14723, 1), (14724, 1), (14725, 1), (14726, 1), (14727, 1), (14728, 1), (14729, 1)], [(8, 1), (50, 1), (53, 3), (77, 1), (95, 1), (215, 2), (220, 1), (263, 1), (301, 1), (3495, 1), (4609, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (90, 1), (99, 2), (108, 1), (206, 1), (214, 1), (418, 1), (450, 1), (531, 1), (601, 1), (777, 1), (812, 1), (869, 1), (1445, 1), (1481, 1), (1665, 1), (3040, 1), (3700, 1), (4903, 1), (7415, 1), (14534, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (24, 1), (25, 1), (53, 1), (58, 1), (77, 1), (99, 1), (188, 1), (225, 1), (268, 1), (293, 1), (428, 1), (581, 1), (1392, 1), (3064, 1), (3670, 1), (4609, 1), (8245, 1), (8980, 1), (13679, 1), (14512, 1), (14730, 1), (14731, 1)], [(8, 1), (18, 1), (53, 1), (77, 1), (122, 1), (220, 1), (686, 1), (884, 1), (9240, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (53, 2), (71, 1), (77, 1), (95, 1), (185, 1), (450, 1), (852, 1), (877, 1), (970, 1), (1068, 1), (1133, 1), (2036, 1), (2037, 1), (2514, 1), (6213, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 2), (53, 3), (55, 1), (68, 1), (71, 1), (77, 1), (90, 1), (109, 1), (215, 1), (225, 1), (293, 1), (422, 1), (531, 1), (654, 1), (777, 1), (1054, 1), (1277, 1), (1929, 1), (4602, 1), (4609, 1), (8980, 1), (9621, 1), (14732, 1), (14733, 1), (14734, 1)], [(18, 2), (20, 2), (25, 1), (34, 1), (53, 3), (56, 1), (58, 1), (77, 1), (82, 1), (90, 1), (92, 2), (95, 1), (97, 1), (117, 1), (215, 1), (220, 1), (232, 1), (293, 2), (531, 2), (587, 1), (743, 1), (809, 1), (827, 1), (833, 1), (1714, 1), (2909, 1), (3121, 1), (3495, 1), (4609, 1), (5719, 1), (8797, 1), (14735, 1)], [(20, 1), (22, 2), (25, 1), (30, 1), (45, 2), (50, 4), (53, 2), (90, 1), (111, 1), (117, 1), (161, 1), (215, 2), (232, 1), (261, 1), (285, 1), (301, 1), (334, 1), (459, 1), (504, 1), (885, 1), (1668, 1), (1714, 1), (2340, 1), (2388, 1), (2514, 1), (7184, 1), (9737, 1), (12172, 1), (14736, 1), (14737, 1), (14738, 1), (14739, 1), (14740, 1)], [(19, 1), (37, 1), (64, 2), (99, 1), (193, 1), (324, 1), (815, 1), (897, 1), (1118, 1), (1594, 1), (1685, 1), (1714, 1), (1845, 1), (2633, 1), (5249, 1)], [(8, 1), (58, 1), (14741, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 5), (22, 2), (25, 2), (26, 1), (32, 2), (45, 1), (50, 1), (53, 5), (55, 2), (58, 3), (65, 1), (75, 1), (77, 1), (82, 1), (90, 2), (95, 1), (109, 1), (117, 1), (172, 2), (186, 1), (188, 1), (193, 1), (232, 1), (310, 1), (334, 1), (382, 1), (419, 2), (428, 1), (434, 1), (459, 1), (496, 1), (601, 1), (694, 1), (706, 1), (777, 1), (830, 1), (897, 1), (1696, 1), (2795, 1), (3071, 1), (3419, 1), (3979, 1), (4456, 1), (4472, 1), (6003, 1), (6213, 1), (7400, 1), (8084, 1), (9625, 1), (12789, 1), (13525, 1), (14742, 1), (14743, 1), (14744, 1), (14745, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (185, 1), (214, 1), (226, 1), (301, 1), (410, 1), (414, 1), (419, 1), (434, 2), (498, 1), (1139, 1), (1170, 1), (1867, 1), (11968, 1)], [(18, 1), (25, 1), (65, 1), (247, 1), (382, 1), (596, 1), (1695, 1), (2055, 1), (4169, 1), (14746, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (55, 1), (109, 1), (111, 1), (215, 1), (778, 1), (1964, 1), (3274, 1), (3317, 1), (4853, 1), (6957, 1), (10743, 1), (13739, 1), (14734, 1), (14747, 1), (14748, 1)], [(8, 1), (20, 4), (25, 1), (32, 1), (50, 2), (53, 2), (55, 1), (65, 1), (85, 1), (97, 1), (174, 1), (185, 1), (193, 2), (269, 2), (301, 1), (516, 1), (531, 1), (632, 1), (675, 1), (702, 1), (1024, 1), (1088, 1), (1170, 1), (2154, 1), (2371, 1), (2862, 1), (3111, 1), (4199, 1), (5743, 1), (14203, 1), (14749, 1), (14750, 1)], [(18, 1), (19, 1), (20, 4), (22, 1), (25, 2), (50, 1), (58, 3), (99, 1), (186, 1), (215, 1), (247, 1), (293, 1), (449, 1), (675, 1), (744, 1), (869, 1), (1041, 1), (1615, 1), (2405, 1), (2637, 1), (4966, 1), (6763, 1), (7917, 1), (7920, 1), (14751, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (31, 1), (53, 1), (55, 1), (58, 1), (178, 1), (206, 1), (228, 1), (281, 1), (283, 1), (2491, 1), (2677, 1), (4073, 1), (4977, 1), (6411, 1), (12010, 1), (14752, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (26, 1), (31, 1), (34, 1), (37, 1), (45, 2), (53, 2), (55, 2), (56, 1), (58, 1), (65, 2), (77, 1), (95, 1), (99, 1), (108, 1), (117, 1), (124, 1), (174, 1), (193, 1), (232, 1), (301, 1), (310, 2), (328, 1), (365, 1), (420, 1), (448, 2), (516, 1), (704, 1), (705, 1), (709, 1), (970, 1), (1022, 1), (1088, 1), (1348, 1), (1720, 1), (3296, 1), (3402, 1), (3883, 1), (5092, 1), (5426, 1), (5496, 1), (5730, 1), (9036, 1), (9942, 1), (14753, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 4), (25, 1), (30, 2), (31, 1), (37, 1), (45, 2), (50, 3), (53, 1), (65, 1), (77, 2), (78, 1), (82, 1), (85, 1), (90, 2), (95, 1), (106, 1), (172, 1), (173, 1), (203, 1), (268, 1), (279, 1), (281, 1), (293, 1), (323, 1), (328, 1), (597, 1), (693, 1), (813, 1), (893, 1), (1088, 1), (1308, 1), (1499, 1), (2329, 1), (4844, 1), (6913, 1), (9272, 1), (9491, 1), (14754, 1), (14755, 1), (14756, 1), (14757, 1), (14758, 1), (14759, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (21, 2), (25, 3), (37, 1), (50, 3), (53, 3), (55, 1), (65, 2), (77, 1), (90, 1), (97, 1), (108, 1), (185, 1), (227, 1), (359, 1), (407, 1), (414, 1), (449, 1), (778, 1), (827, 1), (912, 1), (940, 1), (1088, 1), (1782, 1), (2064, 1), (2196, 1), (2320, 1), (2694, 1), (2757, 1), (3495, 1), (3793, 1), (4445, 1), (5689, 1), (5743, 1), (6378, 1), (6399, 1), (6913, 1), (6950, 1), (7191, 1), (7815, 1), (10666, 1), (11781, 1), (12083, 1), (12753, 1), (13664, 1), (14760, 1), (14761, 1), (14762, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 2), (22, 1), (25, 2), (37, 1), (53, 3), (58, 1), (77, 1), (174, 1), (214, 1), (215, 1), (337, 1), (412, 1), (414, 1), (415, 1), (420, 1), (448, 1), (449, 1), (459, 1), (504, 1), (531, 1), (608, 1), (753, 1), (827, 1), (1068, 1), (1088, 1), (1342, 1), (1363, 1), (1520, 1), (2337, 1), (3036, 1), (3287, 1), (3394, 1), (3542, 1), (3614, 1), (3686, 1), (3923, 1), (8103, 1), (8140, 1), (13312, 1), (14763, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 1), (50, 2), (51, 1), (53, 2), (65, 1), (77, 1), (85, 2), (109, 1), (206, 1), (215, 1), (306, 1), (310, 1), (449, 1), (711, 1), (827, 1), (897, 1), (924, 1), (1068, 1), (1088, 1), (1992, 1), (2168, 1), (2719, 1), (3321, 1), (3614, 1), (3685, 1), (3743, 2), (5465, 1), (8577, 1), (9626, 1), (12692, 1), (12725, 1), (14152, 1), (14206, 1), (14764, 1), (14765, 1), (14766, 1)], [(8, 1), (20, 2), (22, 2), (31, 2), (37, 1), (51, 1), (65, 1), (84, 1), (187, 1), (214, 1), (222, 1), (256, 1), (289, 1), (310, 1), (337, 1), (351, 1), (418, 1), (449, 1), (458, 1), (644, 1), (1911, 1), (2760, 1), (6179, 1), (6399, 1), (14767, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (77, 1), (108, 1), (428, 1), (516, 1), (1088, 1), (1324, 1), (1951, 1), (2363, 1), (2523, 1), (3746, 1), (6243, 1), (14768, 1), (14769, 1)], [(1544, 1), (14770, 1)], [(8, 1), (21, 1), (24, 1), (117, 1), (232, 1), (756, 1), (1166, 1), (8102, 1), (14688, 1), (14689, 1)], [(8, 1), (18, 1), (20, 1), (32, 1), (53, 2), (117, 1), (172, 1), (174, 1), (193, 1), (232, 1), (434, 1), (498, 1), (706, 1), (756, 1), (1166, 1), (1170, 1), (2064, 1), (2178, 1), (2738, 1)], [(8, 1), (10, 1), (18, 4), (19, 2), (20, 3), (31, 2), (53, 2), (58, 1), (65, 2), (71, 1), (77, 1), (117, 2), (193, 1), (209, 1), (232, 2), (239, 1), (293, 2), (507, 1), (706, 2), (756, 2), (830, 1), (1082, 1), (1139, 1), (1166, 1), (1253, 1), (1613, 1), (1909, 1), (1964, 1), (2340, 1), (2658, 1), (2659, 1), (2939, 1), (4889, 1), (5851, 1), (6156, 1), (6242, 1), (6818, 1), (7555, 1), (7648, 1), (12019, 1), (13281, 1), (13758, 1), (14771, 1), (14772, 1)], [(8, 1), (18, 1), (19, 1), (50, 1), (51, 1), (90, 1), (117, 1), (232, 1), (531, 1), (609, 1), (828, 1), (1041, 1), (1157, 1), (1349, 1), (1441, 1), (2344, 1), (6242, 1), (8079, 1), (13417, 1), (14773, 1)], [(8, 1), (20, 4), (25, 1), (31, 1), (37, 1), (50, 1), (51, 1), (53, 2), (55, 1), (71, 1), (90, 1), (111, 1), (185, 1), (331, 1), (452, 1), (601, 1), (922, 1), (1159, 1), (1322, 1), (2344, 1), (5264, 1), (7258, 1), (9240, 1), (9514, 1), (12166, 1), (12456, 1), (13598, 1), (14772, 1), (14774, 1)], [(8, 1), (19, 3), (20, 1), (50, 1), (58, 1), (99, 1), (185, 1), (215, 1), (239, 1), (301, 1), (324, 1), (334, 1), (702, 1), (706, 1), (1287, 1), (1478, 1), (3882, 1), (6332, 1), (6436, 1), (9305, 1), (11122, 1)], [(8, 1), (20, 3), (25, 2), (31, 1), (53, 2), (65, 3), (88, 1), (99, 2), (108, 1), (193, 1), (206, 2), (285, 1), (414, 1), (418, 1), (531, 1), (706, 1), (800, 1), (869, 1), (1041, 2), (1170, 1), (1259, 1), (1363, 1), (2700, 1), (2985, 1), (7504, 1), (9625, 1), (10686, 1), (14775, 1), (14776, 1), (14777, 1), (14778, 1), (14779, 1)], [(8, 1), (18, 1), (20, 8), (21, 1), (22, 1), (25, 1), (31, 1), (50, 3), (53, 9), (55, 1), (64, 3), (65, 1), (88, 1), (97, 1), (99, 2), (108, 1), (117, 1), (185, 3), (218, 1), (220, 1), (232, 1), (234, 1), (261, 1), (281, 1), (285, 1), (324, 2), (387, 1), (414, 2), (448, 1), (504, 1), (516, 1), (692, 1), (706, 1), (756, 1), (1041, 1), (1131, 1), (1163, 1), (1166, 1), (1458, 1), (1526, 1), (1803, 1), (2157, 1), (2847, 1), (3540, 1), (3633, 1), (5391, 1), (8364, 1), (8609, 1), (9175, 1), (9266, 1), (9728, 1), (13851, 1), (14780, 1), (14781, 1), (14782, 1), (14783, 1), (14784, 1), (14785, 1), (14786, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (22, 2), (30, 1), (31, 3), (50, 1), (53, 2), (58, 1), (64, 2), (69, 1), (71, 1), (77, 1), (88, 1), (90, 1), (97, 1), (99, 3), (108, 1), (161, 1), (185, 3), (190, 2), (195, 1), (217, 2), (225, 2), (226, 1), (246, 1), (281, 1), (288, 1), (324, 1), (329, 1), (334, 1), (365, 1), (381, 1), (414, 1), (420, 1), (441, 1), (447, 1), (531, 1), (627, 1), (678, 1), (744, 1), (834, 1), (1131, 1), (1305, 1), (1391, 1), (1541, 1), (1822, 1), (2053, 1), (2140, 1), (2151, 1), (2343, 1), (2359, 1), (2751, 1), (2785, 1), (2914, 1), (3171, 1), (3358, 1), (3476, 1), (5391, 2), (5836, 1), (6197, 1), (8875, 1), (11457, 1), (12535, 1), (14781, 1), (14787, 1), (14788, 1)], [(8, 1), (18, 3), (19, 1), (20, 1), (71, 1), (77, 1), (95, 1), (173, 1), (185, 1), (301, 1), (447, 1), (452, 1), (504, 1), (1180, 1), (1695, 1), (5634, 1), (14753, 1), (14789, 1)], [(90, 1), (193, 1), (247, 1), (1670, 1), (5426, 1), (5743, 1), (9117, 1)], [(18, 1), (25, 1), (77, 1), (96, 1), (247, 1), (328, 1), (692, 1), (14790, 1), (14791, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (22, 1), (25, 4), (50, 1), (90, 1), (99, 1), (117, 1), (124, 1), (174, 1), (190, 1), (232, 1), (338, 1), (410, 1), (448, 1), (537, 1), (704, 2), (784, 1), (1023, 1), (2872, 1), (3082, 1), (5257, 1), (7181, 1), (14790, 2), (14791, 2), (14792, 1)], [(8, 1), (20, 2), (32, 1), (65, 1), (71, 1), (90, 1), (95, 1), (126, 1), (185, 1), (334, 1), (743, 1), (2500, 1), (13377, 1), (14735, 1), (14793, 1)], [(8, 1), (18, 1), (24, 1), (77, 1), (410, 1), (2318, 1), (4575, 1), (14794, 1)], [(8, 1), (19, 1), (20, 1), (53, 3), (54, 1), (310, 1), (420, 1), (531, 1), (791, 1), (852, 1), (3114, 1), (3557, 1), (3689, 1), (4304, 1), (5784, 1), (6623, 1), (11209, 1), (14795, 1), (14796, 1), (14797, 1)], [(8, 1), (18, 1), (20, 2), (32, 1), (53, 1), (185, 1), (215, 1), (382, 1), (419, 1), (428, 1), (777, 1), (7237, 1), (7545, 1), (7682, 1), (9117, 1), (9415, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (50, 1), (53, 1), (71, 1), (88, 1), (98, 1), (185, 1), (193, 1), (394, 1), (459, 1), (531, 1), (743, 1), (1580, 1), (2816, 1), (3125, 1), (6237, 1), (12705, 1)], [(247, 1), (345, 1), (3642, 1)], [(53, 1), (77, 1), (90, 1), (185, 1), (344, 1), (1714, 1), (2348, 1), (5895, 1)], [(8, 1), (18, 3), (19, 1), (20, 10), (22, 1), (24, 1), (25, 1), (50, 2), (53, 2), (55, 1), (65, 2), (77, 1), (97, 2), (109, 1), (111, 1), (115, 1), (172, 1), (206, 1), (215, 1), (217, 1), (273, 1), (328, 2), (410, 1), (414, 1), (432, 1), (434, 1), (459, 1), (504, 1), (632, 1), (704, 1), (706, 1), (714, 1), (790, 1), (828, 1), (834, 2), (1012, 1), (1080, 1), (1172, 1), (1248, 1), (1350, 1), (1483, 1), (1495, 1), (1529, 1), (1596, 1), (1630, 1), (2467, 1), (2700, 1), (2768, 1), (4059, 1), (4296, 1), (4767, 1), (5391, 1), (5816, 1), (6250, 1), (7039, 1), (7191, 1), (8788, 1), (8990, 1), (9519, 1), (9774, 1), (10755, 1), (14798, 1), (14799, 1), (14800, 1), (14801, 1), (14802, 1)], [(8, 1), (20, 3), (24, 1), (25, 1), (31, 2), (50, 2), (53, 4), (55, 1), (74, 1), (92, 2), (97, 1), (173, 2), (206, 1), (214, 1), (246, 1), (378, 1), (420, 1), (442, 1), (518, 1), (680, 1), (756, 1), (1166, 1), (1342, 1), (3121, 1), (3334, 1), (6053, 1), (6249, 1), (6250, 1), (13521, 1), (13691, 1), (14803, 1), (14804, 1), (14805, 1), (14806, 1)], [(7, 1), (8, 1), (20, 7), (25, 1), (31, 1), (50, 2), (53, 3), (117, 1), (214, 1), (215, 2), (232, 1), (328, 1), (359, 1), (448, 1), (450, 1), (526, 1), (531, 1), (711, 1), (790, 1), (800, 1), (902, 1), (1041, 1), (1471, 1), (2739, 1), (3495, 1), (3550, 1), (3804, 1), (4249, 2), (4835, 1), (5673, 1), (6416, 1), (8364, 1), (9519, 1), (11405, 1), (12171, 1), (13496, 1), (14807, 1), (14808, 1)], [(8, 1), (20, 1), (50, 2), (53, 2), (58, 1), (77, 1), (109, 1), (185, 1), (225, 1), (1348, 1), (1824, 1), (2117, 1), (6808, 1), (11449, 1), (14809, 1), (14810, 1), (14811, 1), (14812, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (53, 1), (58, 1), (161, 1), (190, 1), (193, 1), (203, 1), (419, 2), (504, 1), (756, 1), (763, 1), (833, 1), (1166, 1), (1348, 1), (1470, 1), (2359, 1), (2914, 1), (4249, 1), (4791, 1), (5072, 1), (7181, 1), (7906, 1), (14105, 1)], [(8, 1), (19, 1), (20, 1), (51, 1), (53, 1), (172, 1), (206, 1), (328, 1), (359, 1), (407, 1), (1470, 1), (2651, 1), (2744, 1), (3330, 1), (3495, 1), (9519, 1), (12449, 1)], [(18, 1), (20, 2), (25, 1), (31, 2), (45, 3), (50, 3), (51, 1), (53, 3), (64, 4), (66, 1), (91, 1), (93, 1), (95, 1), (97, 1), (117, 2), (214, 1), (232, 1), (336, 1), (351, 1), (382, 2), (392, 1), (410, 1), (414, 2), (418, 1), (457, 1), (632, 2), (777, 1), (828, 1), (1089, 1), (1129, 2), (1617, 1), (1630, 1), (2224, 1), (2265, 1), (2378, 1), (3125, 1), (3309, 1), (3696, 1), (4799, 1), (5612, 1), (5816, 1), (7346, 1), (9179, 1), (13339, 1), (13340, 1), (13417, 1), (13755, 1), (14813, 1), (14814, 1), (14815, 1), (14816, 1), (14817, 1)], [(8, 1), (18, 3), (20, 2), (50, 4), (53, 4), (90, 1), (106, 1), (111, 1), (225, 1), (414, 1), (434, 1), (756, 1), (778, 1), (813, 1), (1088, 1), (1166, 1), (1520, 1), (1596, 1), (1630, 1), (1964, 1), (2055, 1), (2862, 1), (3610, 1), (3731, 1), (5743, 1), (6241, 1), (7742, 1), (8270, 1), (14118, 1), (14818, 1), (14819, 1)], [(8, 1), (18, 1), (19, 1), (45, 1), (206, 1), (1243, 1), (1964, 1), (3255, 1), (4289, 1), (4592, 1), (5725, 1), (11155, 1), (12908, 1), (14820, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (53, 1), (64, 4), (99, 1), (111, 1), (117, 1), (188, 1), (197, 1), (206, 1), (209, 1), (269, 1), (291, 1), (415, 1), (450, 1), (922, 1), (1163, 4), (1779, 1), (4044, 1), (5585, 1), (7346, 1), (9179, 1), (9519, 1), (9683, 1), (13443, 1), (14816, 1), (14817, 1), (14821, 1)], [(8, 1), (20, 1), (31, 1), (53, 2), (174, 1), (185, 1), (217, 1), (225, 1), (301, 1), (414, 1), (1597, 1), (3212, 1), (10633, 1)], [(8, 1), (20, 1), (31, 2), (37, 1), (53, 3), (54, 2), (90, 1), (117, 1), (122, 1), (232, 1), (790, 1), (827, 1), (897, 1), (1041, 1), (1342, 1), (1918, 1), (6399, 1), (8548, 1), (14822, 1), (14823, 1)], [(8, 1), (18, 2), (20, 5), (22, 2), (31, 2), (50, 1), (53, 6), (55, 1), (95, 1), (99, 1), (108, 1), (212, 1), (215, 2), (260, 1), (273, 1), (293, 1), (331, 1), (410, 1), (419, 1), (497, 1), (516, 1), (693, 2), (777, 1), (790, 1), (827, 1), (830, 1), (834, 1), (922, 2), (1102, 1), (1487, 1), (1685, 1), (3553, 1), (4445, 1), (5986, 1), (6236, 1), (8393, 1), (8866, 1), (11886, 1), (12909, 1), (14824, 1), (14825, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (31, 1), (32, 1), (37, 1), (53, 1), (99, 1), (108, 1), (117, 1), (232, 1), (301, 1), (382, 1), (410, 1), (756, 1), (1166, 1), (1170, 1), (1255, 1), (1416, 1), (2965, 1), (4301, 1), (7346, 1), (7420, 1), (9519, 1)], [(20, 2), (25, 1), (37, 1), (50, 2), (53, 1), (82, 1), (99, 2), (206, 1), (281, 1), (285, 1), (293, 1), (334, 1), (342, 1), (410, 1), (459, 1), (724, 1), (790, 1), (1041, 1), (1403, 1), (1622, 1), (1714, 1), (2786, 1), (3125, 1), (3864, 1), (7396, 1), (14534, 1), (14826, 1), (14827, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (21, 1), (50, 2), (53, 5), (58, 1), (77, 1), (93, 1), (97, 1), (172, 1), (215, 1), (286, 1), (382, 1), (419, 1), (459, 1), (2209, 1), (3274, 1), (9700, 1), (14534, 1), (14828, 1), (14829, 1), (14830, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (31, 2), (58, 1), (77, 1), (122, 1), (414, 1), (452, 1), (534, 1), (2064, 1), (2291, 1), (4736, 1), (7406, 1), (11813, 1), (13274, 1)], [(8, 1), (18, 2), (20, 1), (22, 2), (23, 1), (32, 1), (50, 1), (54, 1), (58, 2), (65, 1), (77, 1), (90, 2), (93, 1), (99, 1), (106, 1), (190, 1), (193, 1), (273, 1), (307, 1), (410, 1), (434, 1), (462, 1), (537, 1), (743, 1), (1597, 1), (2001, 1), (3435, 1), (4791, 1), (7181, 1), (14831, 1)], [(8, 1), (20, 1), (21, 1), (23, 1), (25, 1), (50, 1), (53, 3), (55, 1), (69, 1), (90, 1), (96, 1), (99, 1), (172, 2), (182, 1), (185, 1), (203, 1), (602, 1), (756, 2), (1166, 1), (1253, 1), (1277, 1), (1478, 1), (1481, 1), (2211, 1), (3409, 1), (8336, 1)], [(8, 1), (18, 1), (20, 3), (22, 2), (31, 1), (37, 1), (50, 2), (53, 2), (77, 1), (117, 2), (174, 1), (186, 1), (193, 1), (232, 2), (240, 1), (268, 3), (328, 1), (334, 1), (392, 1), (449, 1), (516, 1), (553, 1), (756, 2), (897, 1), (1088, 1), (1166, 1), (1253, 1), (2694, 1), (3980, 1), (5743, 1), (6213, 1), (8273, 1), (14832, 1)], [(8, 1), (18, 1), (22, 2), (25, 1), (31, 1), (50, 3), (53, 1), (93, 1), (161, 1), (214, 1), (268, 1), (328, 1), (692, 1), (756, 1), (790, 1), (834, 1), (1253, 1), (2005, 1), (3043, 1), (4385, 1), (5743, 1), (9117, 1), (9519, 1)], [(8, 1), (20, 2), (53, 2), (65, 1), (225, 1), (269, 1), (418, 1), (756, 2), (1166, 1), (1253, 1), (1308, 1), (2028, 1), (8814, 1), (8980, 1), (9916, 1)], [(8, 1), (20, 5), (22, 2), (31, 2), (32, 1), (53, 2), (71, 1), (82, 1), (108, 1), (174, 1), (190, 2), (206, 1), (269, 1), (324, 1), (329, 1), (365, 1), (414, 1), (415, 1), (452, 1), (694, 1), (711, 1), (1481, 1), (1529, 1), (1627, 1), (1670, 1), (1824, 1), (2193, 1), (2224, 1), (2344, 1), (4310, 1), (4417, 1), (6601, 1)], [(50, 1), (53, 2), (99, 1), (117, 1), (232, 1), (328, 1), (756, 1), (1253, 1), (1714, 1), (2540, 1), (5725, 1), (12292, 1)], [(8, 1), (20, 1), (31, 1), (32, 1), (50, 1), (53, 3), (55, 1), (77, 1), (122, 1), (173, 1), (448, 1), (922, 1), (1308, 1), (1324, 1), (1470, 1), (2831, 1), (4349, 1), (4432, 1), (7031, 1), (7184, 1)], [(8, 1), (18, 2), (19, 2), (20, 1), (23, 1), (45, 1), (50, 2), (65, 1), (71, 1), (215, 1), (263, 1), (342, 1), (516, 1), (983, 1), (2340, 1), (5053, 1), (5238, 1), (5339, 1), (5804, 1), (14833, 1), (14834, 1)], [(8, 1), (53, 1), (117, 1), (232, 1), (301, 1), (415, 1), (706, 1), (2812, 1), (5725, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (53, 2), (90, 1), (117, 1), (215, 1), (232, 1), (293, 1), (305, 1), (488, 1), (632, 1), (1088, 1), (4706, 1), (5312, 1), (5743, 1), (6334, 1), (9010, 1), (9117, 1), (11688, 1), (12079, 1)], [(19, 1), (31, 1), (50, 1), (82, 1), (185, 1), (531, 1), (706, 1), (886, 1), (983, 1), (1259, 1), (1470, 1), (1714, 1), (2985, 1), (6464, 1), (9617, 1), (9929, 1), (13735, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (23, 1), (31, 1), (45, 1), (53, 1), (88, 1), (106, 1), (172, 2), (186, 1), (217, 1), (323, 1), (601, 1), (609, 1), (756, 2), (771, 1), (1166, 1), (1253, 1), (9621, 1), (13314, 1), (14835, 1), (14836, 1)], [(1544, 1), (14837, 1)], [(8, 1), (24, 1), (65, 1), (14838, 1), (14839, 1)], [(8, 1), (18, 1), (20, 6), (21, 1), (23, 1), (31, 1), (37, 1), (53, 2), (99, 1), (108, 1), (117, 1), (172, 1), (215, 1), (232, 1), (285, 1), (706, 1), (756, 1), (1041, 2), (1082, 1), (1253, 1), (1974, 1), (5065, 1), (5241, 1), (5272, 1), (5538, 1), (6904, 1), (8258, 1), (8336, 1), (11442, 1), (11668, 1), (14840, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (32, 1), (50, 2), (53, 1), (55, 1), (58, 1), (65, 1), (71, 1), (99, 1), (172, 1), (188, 1), (239, 1), (285, 1), (328, 1), (448, 1), (830, 1), (1865, 1), (4619, 1), (8076, 1), (8307, 1), (9240, 1), (9402, 1), (9848, 1), (12162, 1), (14841, 1), (14842, 1), (14843, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (31, 1), (37, 1), (40, 1), (50, 1), (53, 2), (55, 1), (71, 1), (77, 1), (82, 1), (94, 1), (99, 1), (108, 2), (111, 1), (185, 1), (203, 1), (215, 1), (256, 1), (269, 1), (325, 1), (407, 1), (531, 1), (894, 1), (974, 1), (1160, 1), (1196, 1), (1287, 1), (1499, 1), (1865, 1), (2859, 1), (3762, 1), (3982, 1), (4358, 1), (4379, 1), (4435, 1), (4917, 1), (6982, 1), (10874, 1), (14844, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 2), (31, 2), (45, 1), (50, 4), (53, 10), (65, 1), (69, 1), (77, 1), (90, 4), (97, 1), (99, 2), (108, 1), (124, 1), (174, 1), (215, 2), (229, 1), (289, 1), (293, 1), (324, 2), (382, 2), (459, 1), (516, 1), (531, 1), (679, 1), (680, 1), (697, 1), (706, 2), (756, 1), (922, 1), (966, 1), (1082, 2), (1088, 1), (1102, 1), (1253, 1), (1277, 2), (1487, 2), (1596, 1), (2056, 1), (2705, 1), (2785, 1), (3084, 1), (5029, 3), (5236, 1), (5378, 1), (5585, 1), (5730, 1), (5743, 2), (6505, 1), (6896, 1), (8209, 1), (8788, 1), (10108, 1), (13774, 1), (14184, 1), (14845, 1)], [(8, 1), (20, 1), (21, 2), (22, 2), (25, 2), (45, 5), (50, 3), (53, 4), (77, 1), (90, 3), (95, 1), (96, 1), (99, 2), (109, 1), (173, 1), (193, 1), (214, 1), (225, 2), (261, 1), (268, 1), (269, 1), (406, 1), (414, 1), (432, 1), (706, 2), (1082, 1), (1241, 1), (2514, 1), (3064, 1), (3540, 1), (3696, 1), (3700, 1), (5029, 2), (5176, 2), (7669, 1), (8814, 1), (8980, 1)], [(8, 1), (18, 2), (20, 3), (32, 1), (50, 2), (53, 2), (77, 1), (90, 1), (99, 1), (111, 1), (117, 1), (161, 1), (172, 1), (189, 1), (203, 1), (232, 1), (654, 1), (706, 1), (756, 1), (813, 1), (893, 1), (1082, 1), (1253, 1), (2034, 1), (2688, 1), (6353, 1), (7891, 1), (11314, 1), (13274, 1), (14534, 1), (14846, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 1), (32, 1), (50, 3), (53, 6), (77, 1), (82, 1), (90, 1), (99, 3), (109, 1), (214, 1), (263, 1), (328, 1), (702, 1), (704, 1), (706, 1), (707, 1), (790, 1), (1057, 1), (1082, 1), (1308, 1), (1596, 1), (1615, 1), (1664, 1), (1685, 1), (2831, 1), (3921, 1), (3999, 1), (5257, 1), (5528, 1), (5743, 1), (13873, 1), (14847, 1), (14848, 1), (14849, 1), (14850, 1)], [(8, 1), (77, 1), (90, 1), (185, 1), (215, 1), (241, 1), (269, 1), (1259, 1), (1526, 1), (2985, 1), (8461, 1), (14851, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (32, 1), (37, 1), (50, 2), (53, 3), (71, 2), (90, 1), (97, 1), (99, 1), (190, 1), (214, 1), (215, 1), (293, 1), (407, 1), (537, 1), (723, 1), (1041, 1), (1102, 1), (1627, 1), (1824, 1), (2062, 1), (2262, 1), (4402, 1), (6695, 1), (9161, 1), (9677, 1), (10732, 1), (12606, 1), (14453, 1), (14852, 1), (14853, 1), (14854, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (26, 1), (50, 1), (53, 4), (95, 1), (99, 1), (172, 1), (215, 1), (288, 1), (359, 1), (448, 1), (503, 1), (531, 1), (1667, 1), (2184, 1), (9047, 1), (11338, 2), (14230, 1), (14231, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (22, 1), (50, 1), (53, 2), (55, 2), (58, 1), (77, 1), (82, 2), (161, 1), (185, 2), (225, 1), (256, 1), (293, 2), (323, 1), (392, 1), (410, 1), (645, 1), (706, 2), (1102, 1), (2037, 1), (2336, 1), (3070, 1), (5733, 1), (9698, 1), (14851, 1), (14855, 1), (14856, 1)], [(7, 1), (8, 1), (20, 2), (24, 1), (53, 2), (58, 1), (109, 1), (1069, 1), (1379, 1), (1468, 1), (2259, 1), (2693, 1), (3025, 1), (5682, 1), (8537, 1), (11653, 1), (14857, 1), (14858, 1)], [(8, 1), (50, 1), (53, 2), (55, 1), (77, 1), (117, 1), (122, 1), (215, 1), (459, 1), (756, 1), (1102, 1), (1253, 1), (2831, 1), (5671, 1), (6043, 1), (11076, 1)], [(8, 1), (23, 1), (31, 1), (58, 1), (82, 1), (90, 1), (161, 1), (342, 1), (1685, 1), (4695, 1), (13611, 1)], [(8, 1), (50, 1), (387, 1), (441, 1), (1865, 1), (2265, 1), (11029, 1)], [(19, 1), (20, 2), (25, 1), (31, 1), (53, 2), (96, 1), (415, 1), (418, 1), (433, 1), (687, 1), (829, 1), (1129, 1), (1685, 2), (1714, 1), (2076, 1), (2425, 1), (3013, 1), (3839, 1), (4769, 1), (8033, 1), (14859, 1)], [(8, 1), (20, 3), (50, 1), (53, 1), (82, 1), (91, 1), (111, 1), (161, 1), (193, 1), (309, 1), (516, 1), (530, 1), (924, 1), (1287, 1), (1685, 1), (2036, 1), (2320, 1), (2734, 1), (4402, 1), (5385, 1), (10614, 1), (13646, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (31, 1), (50, 2), (53, 1), (65, 1), (328, 1), (711, 1), (713, 1), (829, 1), (1122, 1), (1165, 1), (1867, 1), (5196, 1), (8461, 1), (9499, 1), (9702, 1), (13721, 1), (14860, 1), (14861, 1)], [(8, 1), (25, 2), (37, 1), (53, 1), (65, 1), (97, 1), (172, 1), (285, 1), (450, 1), (658, 1), (2734, 1), (3539, 1), (6267, 1), (6351, 1), (7317, 1), (11718, 1), (12286, 1), (14198, 1), (14549, 1), (14862, 1)], [(8, 1), (23, 1), (53, 1), (185, 1), (193, 1), (639, 1), (1392, 1), (2621, 1), (2666, 1), (4416, 1), (4872, 1), (14863, 1)], [(8, 1), (18, 1), (19, 5), (20, 13), (22, 5), (23, 2), (25, 4), (30, 1), (31, 3), (32, 1), (45, 2), (50, 4), (53, 7), (55, 2), (58, 3), (65, 1), (71, 1), (72, 1), (74, 1), (77, 1), (85, 1), (90, 2), (91, 1), (96, 1), (97, 1), (111, 1), (172, 1), (173, 1), (185, 1), (190, 1), (193, 1), (215, 5), (225, 3), (253, 1), (268, 1), (273, 1), (278, 1), (293, 1), (301, 1), (328, 1), (448, 1), (506, 2), (677, 1), (679, 1), (680, 1), (706, 2), (744, 1), (756, 1), (830, 1), (834, 1), (966, 1), (1010, 1), (1012, 1), (1041, 1), (1071, 1), (1253, 1), (1305, 1), (1348, 1), (1366, 2), (1733, 1), (1862, 1), (2049, 3), (2389, 1), (2438, 1), (2488, 1), (2638, 1), (3034, 1), (3041, 1), (3255, 1), (3466, 1), (3731, 1), (4694, 1), (5742, 1), (8323, 1), (8923, 1), (9698, 1), (10764, 1), (10910, 1), (11883, 1), (12284, 1), (14864, 1), (14865, 1), (14866, 2), (14867, 1), (14868, 2), (14869, 1), (14870, 1), (14871, 2), (14872, 1), (14873, 1), (14874, 1), (14875, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (37, 1), (50, 2), (53, 2), (71, 1), (90, 1), (97, 1), (185, 1), (293, 1), (407, 1), (601, 1), (869, 1), (2643, 1), (2751, 1), (10949, 1), (14876, 1), (14877, 1), (14878, 1)], [(8, 1), (20, 1), (346, 1), (2812, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (21, 1), (22, 2), (25, 2), (37, 2), (50, 1), (53, 2), (58, 1), (71, 1), (77, 1), (185, 2), (215, 2), (269, 1), (328, 1), (387, 1), (388, 1), (407, 1), (505, 1), (677, 1), (686, 1), (893, 1), (924, 1), (1085, 1), (1249, 1), (1308, 1), (1526, 1), (2688, 1), (3746, 1), (4489, 1), (4638, 1), (10083, 1), (11551, 1), (12378, 1), (12504, 1), (13582, 1), (13867, 1), (14879, 1), (14880, 1), (14881, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 3), (22, 3), (23, 3), (25, 3), (31, 1), (37, 2), (45, 1), (50, 4), (53, 5), (55, 1), (65, 1), (71, 1), (82, 1), (90, 2), (92, 1), (99, 4), (124, 1), (172, 1), (185, 2), (190, 1), (220, 1), (241, 1), (269, 1), (285, 1), (292, 2), (324, 1), (381, 1), (420, 2), (448, 1), (756, 1), (857, 1), (1043, 1), (1102, 1), (1116, 1), (1155, 1), (1197, 1), (1253, 1), (2315, 1), (2691, 1), (2855, 1), (2960, 1), (3852, 1), (5053, 1), (5212, 1), (5555, 1), (6559, 1), (7757, 1), (8810, 1), (9321, 1), (11552, 1), (12595, 1), (14882, 1), (14883, 1), (14884, 1), (14885, 1), (14886, 1), (14887, 1), (14888, 1), (14889, 1), (14890, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (31, 1), (53, 1), (95, 1), (99, 2), (214, 1), (229, 1), (256, 1), (286, 1), (1822, 1), (5114, 1), (14891, 1), (14892, 1)], [(18, 1), (19, 1), (22, 1), (53, 2), (77, 1), (108, 2), (288, 1), (300, 1), (301, 1), (387, 1), (897, 1), (1308, 1), (1714, 1), (3121, 1), (5114, 1), (7395, 1), (9455, 1), (9539, 1), (14893, 1), (14894, 1)], [(53, 2), (117, 1), (193, 1), (232, 1), (596, 1), (915, 1), (1714, 1), (3676, 1), (4422, 1), (5133, 1), (8639, 1), (14895, 1), (14896, 1), (14897, 1)], [(1544, 1), (14898, 1)], [(8, 1), (24, 1), (7699, 1), (14899, 1), (14900, 1)], [(8, 1), (50, 1), (53, 2), (346, 1), (3036, 1), (14901, 1), (14902, 1)], [(8, 1), (19, 1), (20, 1), (50, 2), (53, 2), (58, 1), (99, 1), (203, 1), (281, 1), (301, 1), (387, 1), (1901, 1), (3034, 1), (3495, 1), (5405, 1), (7597, 1), (8769, 1), (8818, 1), (8968, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 2), (50, 1), (53, 7), (58, 1), (77, 1), (95, 1), (99, 1), (109, 1), (117, 1), (215, 1), (232, 1), (414, 1), (418, 1), (428, 1), (442, 1), (531, 2), (693, 1), (706, 1), (756, 1), (830, 1), (1041, 1), (1081, 1), (1253, 1), (1261, 1), (1462, 1), (1526, 1), (1630, 1), (2340, 1), (2831, 1), (2862, 1), (3084, 1), (4123, 1), (4286, 1), (5236, 1), (5743, 1), (6342, 1), (8266, 1), (8788, 1), (8819, 1), (8968, 1), (9106, 1), (9848, 2), (10732, 1), (12626, 1), (13904, 1), (14151, 1), (14903, 1), (14904, 1), (14905, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (50, 2), (53, 2), (69, 1), (97, 1), (99, 1), (172, 1), (185, 1), (307, 1), (418, 1), (459, 1), (531, 1), (897, 1), (947, 1), (1630, 1), (2137, 1), (2290, 1), (2336, 1), (2359, 1), (2688, 1), (2831, 1), (4402, 1), (5310, 1), (8069, 1), (8769, 1), (11411, 1), (14906, 1), (14907, 1), (14908, 1)], [(8, 1), (18, 1), (77, 1), (82, 1), (6197, 1), (7742, 1), (14909, 1), (14910, 1)], [(8, 1), (19, 1), (53, 1), (122, 1), (2067, 1), (3201, 1), (9736, 1), (9771, 1)], [(8, 1), (23, 1), (58, 1), (82, 1), (90, 1), (217, 1), (225, 1), (307, 1), (3034, 1), (13492, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (31, 1), (50, 3), (53, 2), (77, 1), (97, 1), (109, 1), (126, 1), (269, 1), (432, 1), (632, 1), (1041, 1), (1498, 1), (2100, 1), (2467, 1), (2479, 1), (2862, 1), (4178, 1), (4199, 1), (4969, 1), (5776, 1), (8266, 1), (9176, 1), (10235, 1), (14906, 1), (14911, 1)], [(7, 1), (8, 1), (20, 5), (24, 1), (25, 1), (50, 2), (53, 2), (72, 1), (77, 1), (269, 1), (428, 1), (537, 1), (778, 1), (1024, 1), (1041, 1), (1403, 1), (1596, 1), (1760, 1), (2100, 1), (2985, 1), (3974, 1), (4847, 1), (5417, 1), (5743, 1), (6249, 1), (7141, 1), (8290, 1), (9498, 1), (13976, 1), (14912, 1), (14913, 1), (14914, 1), (14915, 1)], [(8, 1), (20, 2), (24, 1), (46, 1), (50, 1), (53, 3), (71, 1), (215, 2), (334, 1), (756, 1), (830, 1), (1253, 1), (1310, 1), (1596, 1), (1630, 1), (14899, 1), (14900, 1), (14902, 1)], [(8, 1), (20, 1), (31, 1), (45, 1), (50, 1), (53, 2), (77, 1), (90, 1), (95, 1), (108, 1), (117, 1), (215, 1), (232, 1), (293, 1), (331, 1), (334, 1), (587, 1), (1082, 1), (2240, 1), (2831, 1), (2847, 1), (2858, 1), (4141, 1), (5607, 1), (5816, 1), (7426, 1), (11973, 1), (13608, 1), (14916, 1), (14917, 1), (14918, 1), (14919, 1)], [(7, 1), (8, 1), (20, 6), (22, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 5), (53, 7), (54, 1), (55, 1), (65, 1), (90, 1), (95, 1), (215, 1), (293, 1), (407, 2), (1041, 1), (1348, 1), (2029, 1), (2067, 1), (4163, 1), (4510, 1), (4840, 1), (4842, 1), (5014, 1), (5211, 1), (7669, 1), (7760, 1), (10857, 1), (11311, 1), (13316, 1), (14110, 1), (14708, 1), (14899, 1), (14919, 1), (14920, 1), (14921, 1), (14922, 1), (14923, 1), (14924, 1)], [(8, 1), (31, 1), (50, 1), (53, 1), (77, 1), (161, 1), (185, 1), (415, 1), (894, 1), (1596, 1), (3043, 1), (3804, 1), (4402, 1), (7760, 1), (14925, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (31, 2), (53, 2), (58, 2), (77, 1), (215, 1), (281, 1), (337, 1), (420, 1), (505, 1), (680, 1), (763, 1), (983, 1), (1010, 1), (1627, 1), (1731, 1), (1824, 1), (2117, 1), (2258, 1), (2322, 1), (3383, 1), (3690, 1), (3882, 1), (4169, 1), (5023, 1), (7375, 1), (9048, 1), (9161, 1), (9162, 1), (9848, 1), (11308, 1), (11652, 1), (14926, 1)], [(8, 1), (20, 5), (25, 1), (31, 1), (50, 3), (53, 1), (58, 1), (77, 2), (95, 1), (96, 1), (99, 1), (109, 1), (111, 1), (117, 1), (126, 1), (195, 1), (222, 1), (232, 1), (410, 1), (482, 1), (581, 1), (828, 1), (829, 1), (1023, 1), (1102, 1), (1324, 1), (1937, 1), (2120, 1), (2245, 1), (2872, 1), (3255, 1), (6213, 1), (6459, 1), (6647, 1), (8148, 1), (8878, 1), (11427, 1), (14075, 1), (14927, 1), (14928, 1)], [(8, 1), (18, 1), (20, 3), (23, 1), (25, 1), (31, 1), (50, 2), (53, 5), (54, 1), (55, 2), (65, 1), (82, 2), (90, 1), (96, 1), (117, 1), (166, 1), (172, 1), (195, 1), (232, 1), (256, 1), (388, 1), (516, 1), (756, 1), (1253, 1), (1733, 1), (2241, 2), (2526, 1), (3034, 1), (3651, 1), (6192, 1), (7555, 1), (7843, 1), (7988, 1), (8923, 1), (9848, 1), (11835, 1), (14130, 1), (14734, 1), (14899, 1), (14900, 1), (14929, 1), (14930, 1), (14931, 1), (14932, 1), (14933, 1)], [(8, 1), (18, 2), (20, 3), (21, 2), (22, 1), (25, 2), (50, 6), (53, 10), (58, 1), (65, 1), (77, 1), (90, 2), (95, 1), (99, 1), (108, 2), (117, 1), (122, 1), (124, 1), (172, 2), (182, 1), (186, 1), (190, 1), (193, 1), (215, 1), (217, 2), (225, 1), (232, 1), (269, 1), (305, 1), (310, 2), (406, 3), (420, 1), (462, 1), (605, 1), (632, 1), (704, 2), (706, 2), (709, 1), (753, 1), (756, 1), (793, 1), (833, 1), (897, 1), (1150, 1), (1253, 1), (1495, 1), (2178, 1), (2258, 1), (2546, 1), (2985, 1), (3540, 1), (3696, 1), (3700, 2), (3804, 1), (5257, 1), (10680, 1), (11422, 2), (12753, 1), (13170, 1), (14899, 1), (14900, 1), (14919, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (25, 1), (31, 1), (53, 5), (71, 1), (77, 2), (85, 1), (95, 1), (117, 1), (173, 1), (209, 1), (225, 1), (232, 1), (428, 1), (443, 1), (498, 1), (531, 1), (688, 1), (740, 1), (743, 1), (1025, 1), (1041, 1), (1139, 1), (2372, 1), (2455, 1), (3028, 1), (3349, 1), (4163, 1), (4299, 1), (6600, 1), (8152, 1), (10822, 1), (11806, 1), (12298, 1), (14853, 1), (14934, 1), (14935, 1), (14936, 1), (14937, 1), (14938, 1), (14939, 1), (14940, 1)], [(7, 1), (8, 1), (18, 1), (20, 6), (25, 1), (31, 2), (50, 3), (53, 3), (77, 2), (85, 1), (90, 2), (97, 1), (122, 1), (185, 1), (193, 1), (246, 1), (269, 1), (414, 1), (441, 1), (632, 1), (680, 1), (706, 1), (885, 1), (1259, 1), (1929, 1), (2075, 1), (2344, 1), (2862, 1), (3685, 1), (4468, 1), (5378, 1), (6052, 1), (6211, 1), (8154, 1), (8323, 1), (8972, 1), (11964, 1), (14941, 1)], [(8, 1), (19, 1), (20, 3), (21, 2), (23, 1), (25, 1), (31, 1), (32, 1), (53, 1), (69, 1), (77, 1), (90, 1), (99, 1), (117, 1), (185, 1), (232, 1), (233, 1), (289, 1), (334, 1), (685, 1), (756, 1), (827, 1), (948, 1), (1253, 1), (1597, 1), (2007, 1), (2053, 1), (3550, 1), (3582, 1), (3902, 1), (4789, 1), (14899, 1), (14900, 1), (14942, 1)], [(1544, 1), (14943, 1)], [(8, 1), (25, 1), (14944, 1), (14945, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (45, 1), (53, 3), (58, 1), (65, 1), (85, 1), (215, 1), (281, 1), (306, 1), (654, 1), (777, 1), (1069, 1), (1139, 1), (1596, 1), (1720, 1), (2127, 1), (4767, 1), (7970, 1), (8103, 1), (8150, 1), (8319, 1), (11953, 1), (12753, 1), (13862, 1), (14622, 1), (14900, 1), (14946, 1), (14947, 1), (14948, 1)], [(8, 1), (18, 3), (20, 2), (30, 1), (36, 1), (50, 1), (55, 1), (65, 1), (72, 1), (92, 1), (225, 1), (418, 1), (1250, 1), (1308, 1), (2034, 1), (2137, 1), (2365, 1), (4442, 1), (5564, 1), (6241, 1), (9626, 1), (14949, 1), (14950, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (25, 1), (50, 1), (53, 2), (58, 2), (65, 1), (75, 1), (77, 1), (90, 1), (109, 1), (173, 1), (185, 1), (269, 1), (293, 1), (310, 1), (414, 1), (774, 1), (1057, 1), (1069, 1), (1540, 1), (2064, 1), (2862, 1), (2978, 1), (4884, 1), (5564, 1), (6900, 1), (9362, 1), (12079, 1), (14951, 1)], [(8, 1), (20, 4), (50, 1), (53, 5), (65, 2), (75, 2), (92, 1), (173, 1), (310, 1), (394, 1), (414, 1), (415, 1), (706, 1), (777, 1), (1010, 1), (1057, 1), (1596, 1), (2157, 1), (5019, 1), (5465, 1), (9625, 1), (14241, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (21, 2), (50, 2), (53, 4), (109, 1), (173, 2), (283, 1), (351, 1), (448, 1), (675, 1), (767, 1), (1012, 1), (1115, 1), (1702, 1), (2178, 1), (2656, 1), (2916, 1), (3540, 1), (3994, 1), (4661, 1), (4782, 1), (8323, 1), (9221, 1), (10006, 1), (14952, 1), (14953, 1)], [(8, 1), (19, 2), (20, 1), (30, 1), (53, 2), (65, 1), (108, 1), (126, 1), (173, 1), (186, 1), (428, 1), (827, 1), (1485, 1), (1892, 1), (2184, 1), (2467, 1), (2640, 1), (2861, 1), (3923, 1), (5710, 1), (5733, 1), (14206, 1), (14900, 1), (14954, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 2), (51, 1), (53, 2), (65, 1), (77, 1), (169, 1), (173, 1), (185, 1), (359, 1), (448, 1), (452, 1), (516, 1), (1139, 1), (2245, 1), (2321, 1), (3318, 1), (4165, 1), (4236, 1), (5642, 1), (6586, 1), (7061, 1), (10686, 1), (14557, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (50, 1), (53, 4), (65, 2), (77, 2), (111, 1), (185, 1), (217, 1), (225, 1), (240, 1), (269, 1), (328, 1), (415, 1), (418, 1), (516, 1), (639, 1), (777, 1), (827, 1), (1248, 1), (1250, 1), (1342, 1), (1354, 1), (1460, 1), (1529, 1), (1598, 1), (2064, 1), (2734, 1), (2862, 2), (2978, 1), (4575, 1), (4738, 1), (6268, 1), (9239, 1), (10794, 1), (11354, 2), (11464, 1), (14955, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (32, 1), (50, 1), (53, 2), (174, 1), (186, 1), (225, 1), (283, 1), (388, 1), (394, 1), (452, 1), (1456, 1), (1881, 1), (2265, 1), (2344, 1), (3138, 1), (5089, 1), (9774, 1), (11354, 1), (13312, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (37, 1), (50, 1), (53, 7), (58, 1), (65, 1), (98, 1), (117, 1), (185, 1), (186, 1), (193, 1), (232, 1), (428, 2), (516, 1), (897, 1), (1057, 1), (1250, 1), (1277, 1), (1458, 1), (1467, 1), (2820, 1), (3036, 1), (3591, 1), (4128, 1), (4963, 1), (6749, 1), (8103, 1), (9360, 1), (9774, 1), (11354, 3), (12756, 1), (14900, 1), (14956, 1), (14957, 1), (14958, 1), (14959, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (53, 1), (65, 1), (75, 1), (77, 1), (109, 1), (263, 1), (428, 1), (488, 1), (531, 1), (774, 1), (829, 1), (1041, 1), (2998, 1), (3914, 1), (9172, 1), (11948, 1), (13366, 1), (13367, 1), (13895, 1), (14960, 1)], [(8, 1), (20, 1), (53, 2), (58, 1), (92, 1), (124, 1), (190, 1), (268, 1), (306, 1), (338, 1), (378, 1), (922, 1), (1122, 1), (1458, 1), (2157, 1), (4908, 1), (7181, 1), (14961, 1), (14962, 1)], [(8, 1), (19, 1), (20, 3), (25, 3), (45, 1), (50, 1), (53, 3), (170, 1), (172, 1), (174, 1), (225, 1), (310, 1), (428, 1), (448, 1), (704, 1), (1878, 2), (2862, 1), (4908, 1), (5257, 1), (6734, 1), (8103, 1), (9774, 2), (12162, 1), (14900, 1), (14963, 2)], [(8, 1), (18, 1), (20, 1), (22, 2), (31, 1), (37, 1), (50, 1), (52, 1), (53, 3), (55, 1), (185, 1), (193, 1), (217, 2), (346, 1), (347, 2), (420, 1), (448, 1), (697, 1), (776, 1), (1115, 1), (1342, 1), (2760, 1), (3726, 1), (5608, 1), (5729, 1), (6129, 1), (6213, 1), (6334, 1), (10315, 1), (14964, 1)], [(18, 2), (19, 2), (20, 6), (21, 1), (22, 4), (25, 2), (32, 1), (45, 2), (53, 5), (54, 4), (58, 3), (65, 1), (77, 1), (85, 1), (90, 2), (108, 1), (111, 3), (172, 1), (173, 1), (186, 1), (215, 2), (247, 1), (256, 1), (268, 1), (269, 1), (285, 1), (287, 1), (288, 1), (293, 3), (328, 1), (332, 1), (334, 1), (336, 1), (394, 1), (414, 2), (426, 1), (490, 2), (498, 1), (654, 1), (706, 1), (1139, 1), (1377, 1), (1416, 1), (1580, 1), (1597, 1), (1867, 1), (2127, 1), (2168, 1), (2184, 1), (2296, 1), (2826, 1), (3371, 1), (3594, 1), (4977, 1), (5144, 1), (5592, 1), (6765, 1), (6964, 1), (8103, 1), (11354, 1), (11748, 1), (11964, 1), (14191, 1), (14495, 1), (14965, 1), (14966, 1), (14967, 1), (14968, 1), (14969, 1), (14970, 1)], [(18, 2), (20, 3), (21, 1), (25, 1), (31, 1), (50, 2), (53, 1), (55, 1), (65, 1), (85, 1), (178, 1), (185, 1), (207, 1), (240, 1), (247, 1), (310, 1), (334, 1), (428, 1), (516, 1), (706, 1), (1668, 1), (2348, 1), (2672, 1), (4547, 1), (5011, 1), (5014, 1), (5180, 1), (8103, 1), (11241, 1), (11354, 1), (12610, 1), (13662, 1), (14899, 1), (14900, 1)], [(64, 1), (1178, 1), (4251, 1), (5358, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (53, 1), (323, 1), (426, 1), (763, 1), (1909, 1), (2925, 1), (4890, 1), (5744, 1), (8140, 1), (14971, 1)], [(53, 1), (64, 1), (185, 1), (697, 1), (1178, 1), (11354, 1), (14972, 1)], [(8, 1), (19, 2), (20, 3), (25, 1), (30, 1), (45, 1), (50, 1), (53, 5), (58, 1), (65, 1), (69, 1), (75, 1), (166, 1), (172, 1), (186, 1), (215, 1), (269, 1), (293, 1), (307, 1), (414, 1), (428, 1), (568, 1), (706, 1), (1012, 1), (1041, 1), (1250, 1), (1296, 1), (1392, 1), (1867, 1), (1981, 1), (2318, 1), (2389, 1), (2795, 1), (3540, 1), (3611, 1), (5089, 1), (7545, 1), (8103, 1), (14973, 1)], [(8, 1), (18, 1), (20, 1), (54, 1), (328, 1), (3402, 1), (4933, 1), (7332, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (50, 1), (53, 6), (54, 1), (55, 1), (58, 1), (90, 1), (97, 1), (173, 1), (178, 1), (215, 1), (307, 1), (347, 1), (365, 1), (394, 1), (448, 1), (489, 1), (504, 1), (632, 1), (706, 1), (711, 1), (726, 1), (777, 1), (834, 1), (1308, 1), (1416, 1), (1731, 1), (2151, 1), (4862, 1), (5655, 1), (5756, 1), (5762, 1), (6364, 1), (6526, 1), (6770, 1), (7255, 1), (7603, 1), (7850, 1), (8923, 1), (10680, 1), (11520, 1), (14974, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (21, 2), (22, 1), (25, 3), (37, 1), (50, 4), (53, 9), (54, 2), (55, 1), (63, 1), (85, 1), (97, 1), (185, 1), (215, 1), (269, 1), (308, 1), (334, 1), (347, 1), (377, 1), (414, 1), (418, 1), (504, 1), (531, 1), (587, 1), (706, 2), (709, 1), (1057, 1), (1244, 1), (1250, 1), (1259, 2), (1433, 1), (1526, 1), (1529, 1), (1570, 1), (1864, 1), (2030, 1), (2179, 1), (2200, 1), (2359, 1), (2467, 1), (2551, 1), (3083, 1), (3327, 1), (3356, 1), (3685, 1), (3798, 1), (4286, 1), (4370, 1), (8140, 1), (9625, 1), (10510, 1), (10607, 1), (11714, 1), (11964, 1), (14191, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (24, 1), (32, 1), (50, 2), (53, 4), (71, 1), (97, 1), (109, 1), (124, 1), (197, 1), (269, 1), (281, 1), (414, 1), (531, 1), (697, 1), (706, 1), (903, 1), (1287, 1), (1570, 1), (1702, 1), (3129, 1), (3591, 1), (3700, 1), (3822, 1), (5732, 1), (5963, 1), (7354, 1), (8240, 1), (8724, 1), (9978, 1)], [(20, 1), (64, 1), (310, 2), (702, 1), (1178, 1), (3280, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 1), (32, 1), (53, 8), (55, 1), (58, 1), (71, 1), (75, 1), (85, 1), (90, 2), (173, 1), (240, 1), (256, 1), (269, 1), (285, 1), (293, 2), (310, 1), (377, 1), (414, 1), (428, 1), (504, 1), (706, 1), (743, 2), (1239, 1), (1498, 1), (1578, 1), (1702, 1), (1830, 1), (1875, 1), (1881, 1), (2409, 1), (2541, 1), (2820, 1), (3251, 1), (3378, 1), (4317, 1), (5496, 1), (5714, 1), (6982, 1), (8140, 1), (11354, 1), (11964, 1), (12112, 1), (12196, 1), (12753, 1)], [(18, 1), (20, 2), (64, 2), (81, 1), (99, 1), (117, 1), (214, 1), (232, 1), (247, 1), (328, 1), (359, 1), (645, 1), (1001, 1), (1163, 1), (1587, 1), (1683, 1), (2925, 1), (6994, 1), (7295, 1), (14975, 1), (14976, 1)], [(22, 1), (30, 1), (45, 1), (50, 1), (65, 1), (90, 2), (190, 1), (414, 1), (706, 1), (1347, 1), (1460, 1), (1714, 1), (2734, 1), (2912, 1), (3540, 1), (11354, 1), (14562, 1)], [(20, 1), (190, 1), (295, 1), (1178, 1), (6994, 1)], [(50, 1), (53, 1), (64, 1), (300, 1), (1178, 1), (7363, 1), (9626, 1)], [(8, 1), (18, 2), (50, 1), (53, 1), (516, 1), (824, 1), (2925, 1), (5708, 1), (14977, 1)], [(18, 2), (19, 3), (20, 10), (21, 2), (22, 2), (25, 2), (31, 1), (32, 2), (37, 1), (50, 2), (53, 10), (54, 2), (55, 1), (58, 1), (65, 3), (92, 1), (109, 1), (117, 2), (178, 1), (215, 1), (232, 1), (247, 1), (310, 2), (365, 2), (428, 2), (450, 1), (516, 1), (669, 1), (680, 1), (774, 1), (777, 2), (922, 1), (1159, 1), (1259, 1), (1269, 1), (1324, 1), (1348, 1), (1350, 1), (1481, 1), (1526, 1), (1529, 1), (1570, 1), (1837, 1), (1856, 1), (2076, 1), (2163, 1), (2336, 1), (2432, 1), (2433, 1), (2689, 1), (2795, 1), (3760, 1), (4213, 1), (4317, 1), (5011, 1), (5719, 1), (5730, 1), (6165, 1), (7110, 1), (8103, 1), (8140, 1), (8544, 1), (8786, 1), (9346, 1), (9833, 1), (10339, 1), (11018, 1), (11964, 1), (13127, 1), (13807, 1), (14978, 1), (14979, 1)], [(8, 1), (18, 2), (20, 2), (31, 1), (45, 1), (53, 2), (54, 1), (55, 1), (65, 1), (75, 1), (108, 1), (182, 1), (269, 1), (301, 1), (347, 1), (369, 1), (420, 1), (777, 1), (1324, 1), (1416, 1), (1693, 1), (2613, 1), (2789, 1), (3251, 1), (3652, 1), (3670, 1), (5495, 1), (5595, 1), (7280, 1), (13120, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (24, 1), (53, 1), (90, 1), (347, 1), (1076, 1), (1580, 1), (2390, 1), (3010, 1), (3134, 1), (3614, 1), (4146, 1), (14980, 1), (14981, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (50, 1), (53, 3), (54, 1), (71, 1), (111, 1), (166, 1), (182, 1), (197, 2), (215, 1), (220, 1), (268, 1), (336, 1), (353, 1), (632, 1), (974, 1), (1416, 2), (2306, 1), (2327, 1), (2351, 1), (4937, 1), (10147, 1), (10887, 1), (14982, 1), (14983, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (32, 1), (53, 1), (109, 1), (373, 1), (428, 1), (708, 1), (709, 1), (757, 1), (884, 1), (1354, 1), (2393, 1), (3366, 1), (7382, 1)], [(64, 1), (247, 1), (2379, 1)], [(1178, 1), (2384, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 2), (25, 1), (32, 1), (34, 1), (37, 1), (45, 1), (53, 3), (109, 4), (193, 1), (215, 1), (419, 1), (435, 1), (531, 2), (632, 1), (708, 1), (726, 1), (776, 1), (777, 1), (1069, 2), (1501, 1), (1668, 1), (1695, 1), (1806, 1), (2258, 1), (2433, 1), (2453, 1), (2501, 2), (2690, 1), (2772, 1), (2847, 1), (2925, 1), (4328, 1), (4966, 1), (8140, 1), (9694, 1)], [(64, 1), (247, 1), (6073, 1)], [(58, 1), (77, 1), (1178, 1), (2479, 2), (3786, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (22, 1), (25, 2), (50, 1), (53, 3), (54, 1), (55, 3), (75, 1), (85, 1), (174, 1), (182, 1), (269, 1), (337, 1), (394, 1), (415, 1), (1395, 1), (1458, 1), (1627, 1), (2691, 1), (2925, 1), (3614, 1), (4617, 1), (5547, 1), (6227, 1), (8140, 1), (9902, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (31, 1), (53, 2), (54, 1), (82, 1), (174, 1), (256, 1), (309, 1), (373, 1), (428, 1), (443, 1), (452, 1), (459, 1), (711, 1), (792, 1), (1170, 1), (2064, 1), (3614, 1), (3914, 1), (5968, 1), (5998, 1), (8103, 1), (14984, 1)], [(20, 1), (185, 1), (217, 1), (288, 1), (346, 1), (347, 1), (507, 1), (1714, 1), (3394, 1), (14980, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 2), (45, 3), (53, 2), (55, 1), (85, 1), (174, 1), (178, 1), (215, 1), (293, 2), (328, 1), (337, 1), (347, 2), (353, 1), (369, 2), (632, 1), (706, 2), (707, 1), (829, 1), (897, 1), (1041, 1), (1069, 1), (1348, 1), (1557, 1), (1845, 1), (1992, 1), (2501, 1), (2795, 1), (3064, 1), (3146, 1), (3614, 1), (3912, 1), (4479, 1), (7236, 1), (7299, 1), (9572, 1), (9928, 1), (14613, 1), (14985, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 6), (21, 1), (22, 2), (25, 3), (30, 1), (31, 2), (36, 1), (51, 1), (53, 4), (54, 2), (55, 1), (58, 1), (71, 1), (82, 1), (90, 4), (108, 1), (173, 2), (215, 1), (240, 1), (256, 1), (281, 2), (293, 1), (334, 1), (347, 2), (394, 1), (426, 1), (586, 1), (601, 1), (626, 1), (697, 1), (706, 1), (763, 1), (1556, 1), (1902, 1), (2018, 1), (2139, 1), (2178, 1), (2258, 1), (2501, 1), (3062, 1), (3134, 1), (3638, 2), (4547, 1), (5711, 1), (7013, 1), (7341, 1), (8072, 1), (9372, 1), (12081, 1), (14153, 1), (14986, 1)], [(8, 1), (20, 1), (53, 1), (54, 1), (71, 1), (90, 1), (108, 1), (166, 1), (209, 1), (215, 2), (240, 1), (334, 1), (706, 1), (1392, 1), (2230, 1), (7194, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 2), (31, 2), (50, 3), (53, 4), (54, 1), (71, 1), (77, 1), (92, 1), (97, 1), (111, 1), (266, 1), (268, 1), (278, 1), (331, 1), (334, 1), (407, 1), (449, 1), (570, 1), (1820, 1), (1964, 1), (3394, 1), (3614, 1), (4465, 1), (4643, 1), (4658, 1), (5999, 1), (6103, 1), (7883, 1), (8103, 1), (9747, 1), (14378, 1), (14509, 1), (14987, 1), (14988, 1)], [(8, 1), (20, 1), (25, 2), (31, 1), (53, 1), (55, 1), (71, 1), (743, 1), (922, 1), (3416, 1), (11984, 1), (14760, 1), (14989, 1), (14990, 1), (14991, 1), (14992, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (23, 1), (25, 1), (50, 4), (52, 1), (53, 5), (55, 1), (65, 1), (71, 1), (82, 1), (90, 1), (97, 1), (111, 1), (117, 4), (172, 1), (182, 1), (185, 1), (190, 1), (232, 4), (240, 1), (269, 1), (278, 1), (289, 1), (394, 1), (428, 1), (448, 2), (531, 1), (532, 1), (535, 1), (711, 1), (756, 1), (830, 1), (833, 1), (892, 1), (904, 1), (908, 1), (974, 1), (1102, 1), (1160, 1), (1253, 1), (1470, 1), (1541, 1), (1708, 1), (1730, 1), (2030, 1), (2049, 1), (2197, 1), (3034, 1), (3414, 1), (6334, 1), (6688, 1), (8101, 1), (9931, 1), (14961, 1), (14993, 1), (14994, 1)], [(20, 3), (58, 1), (71, 1), (77, 1), (185, 1), (288, 1), (301, 1), (830, 1), (1714, 1), (11016, 1), (14341, 1), (14995, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (30, 1), (31, 1), (50, 2), (53, 3), (54, 1), (58, 1), (236, 1), (357, 1), (407, 1), (410, 1), (531, 1), (706, 1), (751, 1), (756, 1), (833, 1), (1077, 1), (1253, 1), (1348, 1), (1392, 1), (1596, 1), (1824, 1), (5072, 1), (6601, 1), (9927, 1), (11713, 1), (14913, 1), (14996, 1), (14997, 1), (14998, 1), (14999, 1)], [(8, 1), (172, 1), (245, 1), (328, 1), (751, 1)], [(8, 1), (18, 2), (20, 7), (21, 1), (22, 1), (23, 2), (25, 1), (31, 2), (37, 1), (50, 3), (53, 5), (58, 1), (69, 1), (78, 1), (97, 1), (108, 1), (172, 2), (178, 1), (193, 2), (195, 1), (215, 1), (217, 1), (233, 1), (240, 1), (256, 2), (289, 1), (295, 1), (307, 1), (347, 1), (365, 1), (516, 1), (680, 1), (833, 1), (884, 1), (1041, 1), (1118, 1), (1241, 1), (1304, 1), (1342, 1), (1415, 1), (2688, 1), (3300, 1), (3941, 1), (4402, 1), (7881, 1), (7985, 1), (9928, 1), (13366, 1), (13907, 1), (14222, 1), (14634, 1), (14853, 1), (14908, 1), (15000, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 2), (45, 1), (50, 1), (53, 5), (54, 1), (58, 2), (90, 1), (99, 1), (108, 1), (109, 1), (185, 1), (211, 1), (215, 1), (273, 1), (293, 1), (301, 1), (414, 1), (415, 1), (452, 1), (687, 1), (706, 1), (742, 1), (830, 1), (1557, 1), (1611, 1), (2007, 1), (2137, 1), (2138, 1), (2785, 1), (3053, 1), (3614, 1), (4296, 1), (4402, 1), (5492, 1), (5963, 1), (6771, 1), (8544, 1), (9270, 1), (12055, 1), (14988, 1), (15001, 1), (15002, 1), (15003, 1)], [(8, 1), (18, 1), (20, 2), (54, 2), (58, 2), (293, 1), (1778, 1), (3480, 1), (14509, 1)], [(8, 1), (18, 1), (20, 4), (22, 2), (25, 3), (31, 3), (50, 2), (53, 3), (58, 1), (90, 1), (95, 1), (217, 1), (346, 1), (347, 2), (452, 2), (706, 1), (4163, 1), (4330, 1), (5608, 1), (6740, 1), (7088, 1), (7490, 1), (7760, 1), (7843, 1), (8103, 1), (15004, 1), (15005, 1), (15006, 1), (15007, 1), (15008, 1), (15009, 1), (15010, 1), (15011, 1)], [(8, 1), (18, 1), (20, 5), (21, 1), (30, 1), (31, 2), (50, 3), (53, 2), (58, 2), (65, 1), (71, 1), (90, 2), (173, 1), (269, 1), (278, 1), (293, 1), (323, 1), (531, 1), (532, 1), (581, 1), (744, 1), (777, 1), (894, 1), (983, 1), (1348, 1), (1559, 1), (1694, 1), (1797, 1), (2862, 1), (3504, 1), (4349, 1), (4686, 1), (5095, 1), (7061, 1), (7376, 1), (7830, 1), (8241, 1), (10668, 1), (11093, 1), (13851, 1), (15012, 1), (15013, 2), (15014, 1)], [(20, 3), (25, 1), (117, 1), (172, 1), (228, 1), (232, 1), (295, 1), (328, 1), (342, 1), (428, 1), (706, 1), (1347, 1), (1714, 1), (3729, 1), (4330, 1), (4989, 1), (7368, 1), (15013, 1), (15015, 1)], [(1544, 1), (15016, 1)], [(8, 1), (24, 1), (15017, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (45, 1), (50, 2), (53, 3), (77, 1), (97, 1), (111, 2), (185, 2), (210, 1), (215, 1), (225, 1), (262, 1), (268, 1), (387, 1), (414, 1), (553, 1), (706, 1), (1824, 1), (2615, 1), (2977, 1), (15018, 1), (15019, 1), (15020, 1), (15021, 1), (15022, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (25, 1), (50, 2), (53, 4), (69, 1), (108, 2), (111, 1), (172, 2), (215, 2), (285, 1), (414, 1), (531, 1), (1470, 1), (2153, 1), (2971, 1), (4432, 1), (4456, 1), (4700, 1), (13881, 1), (14978, 1), (15023, 1), (15024, 1), (15025, 1), (15026, 1), (15027, 1), (15028, 1), (15029, 1)], [(8, 1), (20, 6), (22, 1), (25, 2), (31, 2), (45, 1), (50, 5), (53, 3), (74, 1), (82, 1), (90, 1), (256, 1), (281, 1), (356, 1), (441, 1), (600, 1), (608, 1), (1308, 1), (2148, 1), (2240, 1), (2402, 2), (3136, 1), (5725, 1), (6783, 1), (9167, 1), (9768, 1), (11076, 1), (11566, 1), (12595, 1), (14391, 1), (15025, 1), (15030, 1), (15031, 1), (15032, 1)], [(8, 1), (19, 1), (25, 1), (45, 1), (50, 1), (53, 1), (85, 1), (172, 1), (237, 1), (415, 1), (448, 1), (645, 1), (833, 1), (1446, 1), (1558, 1), (3043, 1), (4325, 1), (5290, 1), (13324, 1), (15024, 1), (15033, 1), (15034, 1), (15035, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 2), (31, 1), (50, 1), (53, 2), (65, 1), (95, 1), (108, 1), (190, 1), (192, 1), (206, 1), (242, 1), (256, 1), (418, 1), (901, 1), (1102, 1), (1580, 1), (1685, 1), (3525, 1), (7610, 1), (8057, 1), (10870, 1), (12313, 1), (15036, 1)], [(8, 1), (22, 1), (23, 3), (37, 1), (96, 1), (487, 1), (581, 1), (815, 1), (15037, 1)], [(8, 1), (20, 1), (53, 1), (77, 1), (531, 1), (756, 1), (1253, 1), (1310, 1), (3804, 1), (15038, 1), (15039, 1)], [(8, 1), (36, 1), (225, 1), (268, 1), (3923, 1), (5176, 1)], [(8, 1), (20, 2), (22, 2), (25, 3), (50, 2), (53, 5), (58, 2), (77, 1), (90, 1), (95, 1), (203, 1), (215, 1), (285, 1), (331, 1), (407, 2), (450, 1), (452, 1), (531, 1), (605, 2), (1041, 1), (1399, 1), (1470, 1), (1499, 1), (2739, 1), (3700, 1), (4289, 1), (4659, 1), (4674, 1), (5176, 1), (5725, 1), (6183, 1), (7256, 1), (7738, 1), (8309, 1), (8980, 1), (13565, 1), (15040, 1), (15041, 1), (15042, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (31, 2), (50, 3), (53, 4), (65, 1), (69, 1), (71, 1), (77, 1), (111, 1), (215, 1), (268, 1), (286, 1), (293, 1), (430, 1), (448, 1), (581, 1), (608, 1), (654, 1), (813, 1), (1162, 1), (1787, 1), (2648, 1), (2977, 1), (3655, 1), (5176, 1), (6344, 1), (6439, 1), (8323, 1), (9221, 1), (11407, 1), (15043, 1), (15044, 1), (15045, 1), (15046, 1), (15047, 1)], [(18, 1), (20, 1), (25, 1), (53, 1), (96, 1), (109, 1), (117, 1), (232, 1), (247, 1), (1870, 1), (3078, 1), (4235, 1), (5176, 1), (15048, 1), (15049, 1), (15050, 1)], [(8, 1), (18, 1), (20, 4), (30, 1), (31, 2), (37, 2), (45, 1), (50, 1), (53, 2), (77, 2), (90, 1), (97, 1), (193, 1), (210, 1), (214, 1), (268, 1), (293, 2), (459, 1), (678, 1), (876, 1), (922, 1), (1870, 1), (3828, 1), (4926, 1), (5616, 1), (7925, 1), (13353, 1), (15051, 1), (15052, 1)], [(8, 1), (20, 1), (58, 1), (77, 1), (531, 1), (2828, 1), (3755, 1), (9277, 1)], [(8, 1), (19, 1), (53, 1), (95, 1), (126, 1), (172, 1), (217, 1), (285, 1), (5176, 1), (7215, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (71, 1), (90, 1), (99, 1), (173, 1), (209, 1), (214, 1), (225, 1), (324, 3), (373, 1), (414, 1), (507, 1), (587, 1), (706, 1), (752, 1), (812, 1), (1122, 1), (1488, 1), (2132, 1), (3438, 1), (5176, 1), (9991, 1), (13819, 1), (15053, 1), (15054, 1)], [(8, 1), (20, 1), (45, 1), (53, 1), (97, 1), (126, 1), (190, 1), (260, 1), (281, 1), (293, 1), (320, 1), (414, 1), (420, 1), (3756, 1), (5534, 1), (5842, 1), (7547, 1), (9154, 1), (13375, 1), (15055, 1), (15056, 1), (15057, 1)], [(8, 1), (19, 1), (20, 2), (45, 1), (50, 3), (53, 3), (71, 1), (77, 1), (90, 1), (239, 1), (263, 1), (347, 1), (359, 1), (407, 1), (448, 1), (706, 1), (756, 1), (1082, 1), (1253, 1), (1499, 1), (7731, 1), (8966, 1), (15054, 1)], [(8, 1), (77, 1), (106, 1), (5065, 1), (5251, 1)], [(8, 1), (18, 1), (20, 1), (53, 2), (55, 1), (77, 1), (236, 1), (359, 1), (420, 1), (516, 1), (2241, 1), (2693, 1), (2926, 1), (3733, 1), (5053, 1), (12704, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 3), (53, 5), (58, 1), (225, 1), (359, 1), (1130, 1), (1135, 1), (3641, 1), (5053, 1), (5568, 1), (8444, 1), (15058, 1)], [(8, 1), (20, 1), (53, 1), (77, 1), (117, 1), (186, 1), (232, 1), (3378, 1), (5053, 1), (7355, 1), (8062, 1), (8460, 1), (10699, 1), (15059, 1), (15060, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (53, 2), (77, 1), (90, 1), (107, 1), (111, 1), (215, 1), (334, 1), (450, 1), (1862, 1), (3439, 1), (5053, 1), (5883, 1), (8146, 1), (9439, 1), (10806, 1), (15061, 1), (15062, 1)], [(7, 1), (66, 1), (75, 1), (122, 1), (185, 1), (332, 1), (361, 1), (392, 1), (1198, 1), (1580, 1), (3181, 1), (4504, 1)], [(8, 1), (18, 1), (20, 2), (31, 2), (50, 1), (53, 2), (77, 1), (175, 1), (256, 1), (301, 1), (405, 1), (407, 1), (452, 1), (645, 1), (670, 1), (1239, 1), (1377, 1), (2198, 1), (2279, 1), (2543, 1), (3422, 1), (3664, 1), (3756, 1), (5053, 1), (15063, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 2), (31, 1), (37, 1), (50, 1), (53, 7), (90, 1), (91, 1), (97, 1), (99, 1), (111, 1), (117, 3), (214, 1), (215, 1), (232, 3), (261, 1), (293, 2), (300, 1), (328, 1), (516, 1), (767, 1), (904, 1), (1012, 1), (1470, 2), (1754, 1), (2198, 1), (2366, 1), (2831, 1), (3132, 1), (3161, 1), (3912, 1), (4353, 1), (4432, 1), (5679, 1), (5910, 1), (8084, 1), (9081, 1), (9871, 1), (10141, 2), (10699, 1), (10810, 1), (12447, 1), (15064, 1), (15065, 1), (15066, 1), (15067, 1), (15068, 1)], [(8, 1), (20, 4), (25, 2), (31, 5), (53, 4), (58, 1), (65, 1), (77, 1), (90, 2), (99, 1), (124, 1), (161, 1), (185, 1), (239, 1), (262, 1), (263, 1), (293, 1), (301, 1), (334, 1), (414, 1), (415, 1), (516, 1), (672, 1), (678, 1), (723, 1), (756, 1), (833, 1), (915, 1), (1012, 1), (1082, 1), (1253, 1), (1449, 1), (5053, 1), (5871, 1), (6090, 1), (7396, 1), (7745, 1), (8237, 1), (9154, 1), (11299, 1), (11324, 1), (15069, 1), (15070, 1)], [(8, 1), (18, 1), (20, 7), (22, 6), (25, 2), (34, 1), (50, 2), (53, 1), (55, 2), (77, 1), (82, 1), (90, 1), (99, 1), (111, 1), (173, 1), (225, 1), (256, 1), (261, 1), (268, 3), (269, 3), (286, 1), (355, 1), (382, 1), (527, 1), (600, 1), (913, 1), (1287, 1), (1598, 1), (2340, 1), (2514, 1), (2831, 1), (2977, 1), (3056, 1), (3923, 1), (4514, 1), (4525, 1), (4598, 1), (5176, 1), (6695, 1), (7892, 1), (8496, 1), (15071, 1), (15072, 1), (15073, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (82, 1), (90, 1), (99, 1), (185, 1), (281, 1), (293, 1), (697, 1), (1041, 1), (1102, 1), (1747, 2), (2591, 1), (3043, 1), (5053, 1), (5816, 1), (9277, 1), (12486, 1), (13401, 1), (15074, 1)], [(8, 1), (20, 5), (31, 2), (50, 1), (53, 1), (65, 1), (77, 1), (90, 1), (97, 1), (99, 1), (117, 2), (232, 2), (359, 1), (602, 1), (645, 1), (2183, 1), (2290, 1), (2812, 1), (2831, 1), (8791, 1), (12306, 1), (12313, 1), (13008, 1), (13401, 1), (15025, 1), (15075, 1)], [(288, 1), (301, 1), (1714, 1)], [(31, 1), (53, 1), (756, 1), (1253, 1), (1714, 1), (15076, 1)], [(18, 2), (20, 1), (40, 1), (53, 1), (164, 1), (756, 1), (1253, 1), (1714, 1), (3384, 1), (4806, 1), (6640, 1), (13441, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (45, 2), (58, 1), (77, 1), (334, 1), (527, 1), (1165, 1), (1597, 1), (2230, 1), (5434, 1), (5837, 1), (15075, 1)], [(8, 1), (31, 1), (45, 1), (77, 1), (122, 1), (3988, 1), (5837, 1), (5936, 1), (10719, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (46, 1), (53, 2), (65, 1), (90, 1), (172, 1), (173, 1), (185, 1), (217, 2), (285, 1), (331, 1), (334, 1), (347, 1), (450, 1), (506, 1), (756, 1), (1253, 1), (2235, 1), (3132, 1), (3677, 1), (11319, 1), (14118, 1), (15077, 1), (15078, 1), (15079, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 1), (50, 2), (53, 4), (58, 1), (71, 1), (77, 2), (93, 1), (111, 1), (193, 1), (202, 1), (215, 1), (225, 1), (268, 1), (293, 1), (530, 1), (756, 1), (1253, 1), (1877, 1), (3121, 1), (3901, 1), (11319, 1), (11809, 1), (12902, 1), (15080, 2), (15081, 1), (15082, 1)], [(8, 1), (19, 2), (20, 4), (22, 3), (25, 1), (31, 2), (32, 2), (50, 1), (51, 1), (53, 4), (58, 1), (65, 2), (71, 1), (91, 1), (117, 1), (161, 1), (232, 1), (292, 2), (334, 1), (361, 1), (450, 1), (626, 1), (756, 1), (869, 1), (897, 1), (970, 1), (1012, 1), (1053, 1), (1132, 1), (1253, 1), (1458, 1), (1541, 1), (1870, 1), (2545, 1), (2850, 1), (4214, 1), (4388, 1), (5153, 1), (6403, 1), (6415, 1), (6424, 1), (7757, 1), (7966, 1), (13316, 1), (15083, 1), (15084, 1), (15085, 1), (15086, 1), (15087, 1), (15088, 1)], [(8, 1), (53, 1), (2756, 1), (11603, 1), (15089, 1), (15090, 1), (15091, 1)], [(8, 1), (19, 1), (25, 1), (50, 1), (53, 1), (77, 1), (117, 2), (197, 2), (232, 2), (268, 1), (301, 1), (328, 1), (645, 1), (827, 1), (2977, 1), (6159, 1), (15089, 1), (15092, 1)], [(8, 1), (18, 1), (20, 2), (77, 1), (197, 1), (256, 1), (415, 1), (516, 1), (758, 1), (2693, 1), (3435, 1), (8654, 1), (15093, 1)], [(19, 1), (20, 4), (25, 1), (31, 2), (50, 1), (53, 3), (82, 1), (117, 2), (124, 1), (166, 1), (232, 2), (288, 1), (323, 1), (607, 1), (756, 1), (830, 1), (869, 1), (897, 1), (1041, 1), (1167, 1), (1253, 1), (1593, 1), (1714, 1), (2977, 1), (3701, 1), (3741, 1), (4297, 3), (4373, 1), (5053, 1), (7004, 1), (8219, 1), (8995, 1), (12538, 1), (15094, 1), (15095, 1), (15096, 1), (15097, 1), (15098, 1)], [(8, 1), (23, 1), (90, 1), (99, 1), (256, 1), (307, 1), (2140, 1), (5053, 1)], [(8, 1), (58, 1), (99, 1), (504, 1), (581, 1), (15099, 1)], [(1544, 1), (15100, 1)], [(8, 1), (24, 1), (15101, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (27, 1), (45, 1), (53, 2), (58, 1), (71, 1), (77, 1), (90, 1), (97, 1), (675, 1), (756, 1), (869, 1), (1253, 1), (1475, 1), (5247, 1), (6155, 1), (15046, 1), (15102, 1), (15103, 1), (15104, 1)], [(8, 1), (31, 1), (53, 2), (65, 1), (190, 1), (193, 1), (202, 1), (263, 1), (359, 1), (406, 1), (704, 1), (2813, 1), (3453, 1), (3804, 1), (5257, 1), (5839, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (50, 2), (53, 3), (77, 1), (185, 1), (215, 1), (239, 1), (414, 1), (632, 2), (1088, 1), (3084, 1), (3453, 1), (4854, 1), (5142, 1), (5743, 1), (6342, 1), (7501, 1), (8290, 1), (8927, 1), (15105, 1)], [(7, 1), (8, 1), (20, 1), (21, 2), (25, 2), (31, 1), (50, 1), (53, 2), (69, 1), (77, 1), (172, 1), (182, 1), (185, 1), (186, 1), (215, 1), (301, 1), (419, 1), (505, 1), (1259, 1), (1495, 1), (1526, 1), (2760, 1), (3084, 1), (6213, 1), (6342, 1), (9498, 1), (15106, 1), (15107, 1), (15108, 1)], [(8, 1), (18, 1), (19, 1), (21, 2), (22, 1), (25, 1), (27, 1), (31, 3), (50, 3), (53, 5), (90, 1), (117, 1), (174, 1), (175, 1), (185, 2), (215, 1), (228, 1), (232, 1), (381, 1), (406, 1), (532, 1), (908, 1), (1012, 1), (1487, 1), (1526, 1), (1529, 1), (1596, 1), (1760, 1), (2265, 1), (2323, 1), (2359, 1), (2471, 1), (2862, 1), (3274, 1), (3453, 1), (3534, 1), (5607, 1), (10680, 1), (15109, 1), (15110, 2), (15111, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (27, 1), (31, 1), (45, 1), (50, 1), (53, 2), (58, 1), (77, 2), (109, 1), (193, 1), (202, 1), (388, 1), (505, 1), (516, 1), (587, 1), (686, 1), (704, 1), (1041, 1), (1324, 1), (2831, 1), (3524, 1), (4486, 1), (5257, 1), (10040, 1), (10732, 1), (15069, 1), (15112, 1), (15113, 1), (15114, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (23, 1), (27, 1), (30, 1), (31, 1), (45, 1), (46, 1), (50, 2), (53, 2), (58, 1), (65, 1), (77, 1), (90, 3), (161, 1), (172, 1), (225, 1), (241, 1), (269, 1), (323, 1), (415, 1), (448, 1), (460, 1), (516, 1), (756, 1), (833, 1), (1253, 1), (1471, 1), (2100, 1), (2119, 1), (5827, 1), (6213, 1), (8808, 1), (11126, 1), (11601, 1), (11690, 1), (14331, 1), (14936, 1), (15115, 1)], [(8, 1), (19, 2), (20, 4), (25, 1), (30, 1), (31, 2), (45, 2), (50, 3), (53, 2), (55, 1), (58, 1), (90, 1), (124, 1), (215, 1), (450, 1), (601, 1), (675, 1), (1466, 1), (1596, 1), (1909, 1), (2151, 1), (2847, 1), (2850, 1), (3655, 1), (5914, 1), (7099, 1), (7866, 1), (8967, 1), (11371, 1), (15116, 1), (15117, 1)], [(8, 1), (20, 4), (31, 1), (50, 1), (53, 2), (77, 2), (90, 1), (117, 1), (122, 1), (185, 1), (210, 1), (232, 1), (531, 1), (672, 1), (706, 1), (897, 1), (2123, 1), (2655, 1), (3700, 1), (3804, 1), (4840, 1), (5214, 1), (7935, 1)], [(8, 1), (20, 2), (27, 1), (34, 1), (45, 1), (50, 1), (58, 1), (94, 1), (99, 1), (108, 1), (161, 1), (209, 1), (262, 1), (268, 1), (581, 1), (897, 1), (1911, 1), (8644, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (24, 1), (37, 1), (53, 1), (56, 1), (90, 1), (95, 1), (214, 1), (487, 1), (516, 1), (633, 1), (678, 1), (2440, 1), (4867, 1), (5053, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 4), (25, 2), (31, 1), (45, 1), (50, 3), (53, 4), (71, 1), (77, 1), (88, 1), (97, 1), (99, 2), (109, 1), (190, 1), (239, 2), (869, 1), (897, 1), (922, 2), (1012, 1), (1041, 3), (1287, 1), (1477, 1), (1626, 2), (2659, 1), (2693, 1), (2862, 2), (3453, 2), (9984, 1), (11018, 1), (14544, 1), (15118, 1), (15119, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (20, 4), (21, 1), (22, 1), (25, 3), (31, 1), (50, 2), (53, 2), (55, 1), (58, 1), (65, 1), (91, 1), (99, 2), (106, 1), (117, 1), (185, 1), (232, 1), (268, 2), (269, 1), (273, 1), (285, 2), (310, 1), (347, 1), (399, 1), (414, 1), (600, 1), (645, 1), (876, 1), (1005, 1), (1041, 1), (1596, 1), (1620, 1), (2184, 1), (2693, 1), (3453, 1), (3667, 1), (4528, 1), (5311, 1), (6100, 1), (9625, 1), (12050, 1), (12553, 1), (15035, 1), (15120, 1), (15121, 1), (15122, 1), (15123, 1), (15124, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (45, 1), (50, 2), (53, 4), (55, 1), (77, 1), (82, 1), (96, 1), (99, 1), (331, 1), (407, 2), (454, 1), (525, 1), (581, 1), (834, 1), (1080, 1), (1102, 1), (1865, 1), (2543, 1), (2666, 1), (3294, 1), (3296, 1), (4619, 1), (7966, 1), (9321, 1), (11631, 1), (15125, 1), (15126, 1), (15127, 1), (15128, 1)], [(8, 1), (20, 2), (23, 1), (27, 1), (50, 2), (53, 2), (58, 1), (95, 1), (99, 2), (108, 1), (109, 1), (117, 1), (172, 1), (232, 1), (301, 1), (504, 1), (827, 1), (897, 1), (2151, 1), (2265, 1), (3923, 1), (9027, 1), (11257, 1), (11551, 1), (11809, 1), (13110, 1), (15129, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (37, 1), (50, 2), (53, 2), (55, 1), (69, 1), (71, 1), (99, 2), (117, 1), (161, 1), (190, 1), (232, 1), (869, 1), (1041, 1), (1477, 1), (2659, 2), (3249, 1), (3453, 1), (3923, 1), (5204, 1), (6046, 1), (8967, 1), (10472, 1), (10975, 1), (12553, 1), (14391, 1), (15130, 1), (15131, 1), (15132, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (77, 1), (90, 1), (122, 1), (214, 1), (7547, 1), (9439, 1), (11311, 1), (12553, 1), (15132, 1), (15133, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 3), (58, 1), (82, 1), (88, 1), (301, 1), (459, 1), (600, 1), (763, 1), (2183, 1), (2659, 1), (3495, 1), (8845, 1), (8980, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (31, 2), (45, 1), (50, 4), (53, 3), (54, 1), (55, 1), (58, 1), (65, 1), (85, 1), (97, 1), (126, 1), (173, 2), (347, 1), (506, 1), (776, 1), (813, 1), (2730, 1), (4034, 1), (4557, 1), (5288, 1), (5435, 1), (5473, 1), (5682, 1), (6221, 1), (8950, 1), (15132, 1), (15134, 1), (15135, 1), (15136, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (53, 3), (82, 1), (90, 1), (92, 1), (109, 1), (172, 1), (346, 1), (387, 1), (450, 1), (531, 1), (852, 1), (5528, 1), (6809, 1), (11131, 1), (11786, 1), (12916, 1), (15137, 1), (15138, 1), (15139, 1)], [(8, 1), (18, 1), (23, 1), (31, 1), (45, 1), (50, 1), (71, 1), (90, 1), (117, 1), (190, 1), (232, 1), (286, 1), (289, 1), (645, 1), (894, 1), (2048, 1), (3808, 1), (7113, 1), (7343, 1)], [(8, 1), (20, 1), (23, 1), (99, 1), (214, 1), (262, 1), (285, 1), (324, 2), (833, 1), (1964, 1), (3453, 1), (3597, 1), (10472, 1)], [(8, 1), (18, 2), (25, 1), (50, 1), (126, 1), (263, 1), (507, 1), (812, 1), (1628, 1), (1824, 1), (9048, 1), (10472, 1), (15140, 1), (15141, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (31, 2), (50, 1), (53, 2), (56, 1), (85, 1), (90, 1), (97, 1), (215, 1), (1350, 1), (1580, 1), (3799, 1), (6177, 1), (6394, 1), (7913, 1), (10472, 1), (12080, 1), (15142, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (185, 1), (756, 1), (962, 1), (1253, 1), (15139, 1), (15143, 1), (15144, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (31, 2), (50, 2), (53, 4), (55, 2), (65, 1), (77, 1), (90, 1), (190, 1), (456, 1), (763, 1), (827, 1), (1760, 1), (2323, 1), (2795, 1), (2799, 1), (2813, 1), (2998, 1), (3000, 1), (3355, 1), (3652, 1), (4575, 1), (5142, 1), (6049, 2), (6208, 1), (6258, 1), (12916, 1), (14847, 1), (15109, 1), (15139, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 1), (53, 2), (58, 1), (92, 1), (108, 1), (209, 1), (256, 1), (424, 1), (829, 1), (1245, 1), (1937, 1), (5963, 1), (7375, 1), (7564, 1), (9477, 1), (11789, 1), (12916, 1), (15132, 1)], [(8, 1), (20, 2), (21, 2), (22, 1), (25, 1), (27, 2), (50, 1), (53, 4), (55, 2), (77, 1), (185, 1), (215, 1), (289, 1), (346, 1), (922, 1), (1414, 1), (2760, 1), (3416, 1), (4402, 1), (5913, 1), (12916, 1), (13867, 1), (15139, 1), (15145, 1), (15146, 1)], [(8, 1), (19, 1), (20, 3), (27, 2), (50, 2), (53, 3), (69, 1), (77, 1), (90, 1), (96, 1), (108, 1), (109, 1), (117, 1), (124, 1), (228, 1), (232, 1), (331, 1), (337, 1), (531, 1), (704, 1), (947, 1), (1702, 1), (7375, 1), (8912, 1), (13867, 1), (15109, 1), (15139, 1), (15147, 1), (15148, 1)], [(19, 1), (20, 1), (25, 1), (37, 1), (53, 1), (58, 1), (71, 1), (85, 1), (95, 1), (117, 1), (206, 1), (232, 1), (285, 1), (1714, 1), (2120, 1), (5214, 1), (5439, 1), (7781, 1), (8907, 1), (10472, 1), (14701, 1)], [(7, 1), (8, 1), (20, 2), (27, 1), (31, 1), (45, 2), (50, 2), (53, 2), (77, 1), (124, 1), (185, 1), (286, 1), (833, 1), (876, 1), (2365, 1), (2553, 2), (2591, 1), (3923, 1), (11257, 2), (13867, 1), (15139, 1), (15149, 1), (15150, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (23, 1), (31, 1), (53, 3), (55, 1), (58, 1), (78, 1), (108, 1), (117, 1), (185, 1), (215, 1), (232, 1), (285, 1), (301, 1), (756, 1), (830, 1), (1253, 1), (1416, 1), (2670, 1), (2732, 1), (4455, 1), (4875, 1), (5385, 1), (9305, 1), (14373, 1), (15138, 1), (15139, 1)], [(8, 1), (20, 6), (23, 1), (25, 1), (31, 1), (50, 2), (53, 2), (58, 1), (77, 1), (82, 1), (106, 1), (269, 1), (448, 1), (504, 1), (695, 1), (777, 1), (813, 1), (907, 1), (2732, 1), (3731, 1), (4299, 1), (7946, 1), (8265, 1), (8991, 1), (15132, 1), (15151, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (50, 1), (53, 2), (111, 1), (185, 1), (743, 1), (756, 1), (897, 1), (1012, 1), (1041, 1), (1253, 1), (2732, 1), (3633, 1), (4549, 1), (9332, 1), (12742, 1), (14534, 1), (14544, 1), (15152, 1)], [(8, 1), (19, 1), (20, 1), (53, 1), (77, 1), (90, 1), (99, 1), (172, 1), (190, 1), (331, 1), (334, 1), (381, 1), (1824, 1), (2197, 1), (3034, 1), (15153, 1)], [(1544, 1), (15154, 1)], [(8, 1), (24, 2), (6129, 1), (10526, 1), (15155, 1)], [(8, 1), (20, 4), (24, 1), (25, 1), (50, 1), (53, 1), (361, 1), (419, 1), (709, 1), (811, 1), (2216, 1), (2217, 1), (3118, 1), (7565, 1), (10266, 1), (15156, 1), (15157, 1), (15158, 1), (15159, 1)], [(8, 1), (20, 2), (22, 1), (25, 3), (31, 2), (32, 1), (50, 1), (53, 5), (55, 1), (56, 1), (99, 1), (193, 1), (202, 1), (214, 1), (226, 1), (256, 1), (269, 1), (328, 1), (399, 1), (450, 1), (452, 1), (1115, 1), (1155, 1), (1270, 1), (1342, 1), (1441, 1), (1476, 1), (1702, 1), (2096, 1), (2359, 1), (3724, 1), (5368, 1), (6177, 1), (8243, 1), (8845, 1), (9767, 1), (11412, 1)], [(8, 1), (19, 1), (20, 1), (53, 1), (286, 1), (448, 1), (903, 1), (1159, 1), (1929, 1), (2031, 1), (2197, 1), (3213, 1), (4988, 1), (15159, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (31, 1), (50, 1), (53, 3), (54, 1), (68, 1), (109, 1), (373, 1), (433, 1), (434, 1), (448, 1), (710, 1), (1159, 1), (1245, 1), (1322, 1), (1325, 1), (1824, 1), (2965, 1), (3146, 1), (4199, 1), (4282, 1), (6129, 1), (7648, 1), (10745, 1), (11480, 1)], [(31, 1), (45, 1), (64, 1), (75, 1), (173, 1), (225, 1), (328, 1), (596, 1), (946, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (53, 1), (1137, 1), (1901, 1), (2925, 1), (2978, 1), (7286, 1), (9439, 1), (15160, 1)], [(18, 1), (64, 1), (65, 1), (1178, 1), (3536, 1), (3786, 1), (5348, 1), (15161, 1)], [(8, 2), (18, 1), (19, 1), (20, 5), (22, 2), (30, 1), (34, 1), (45, 1), (50, 1), (53, 1), (58, 1), (64, 2), (65, 1), (77, 1), (84, 1), (90, 3), (99, 1), (117, 4), (173, 1), (232, 3), (233, 1), (268, 2), (309, 1), (328, 1), (434, 1), (515, 1), (581, 1), (680, 1), (708, 1), (759, 1), (885, 1), (1118, 1), (1163, 1), (1195, 1), (1683, 1), (1907, 1), (1980, 1), (2446, 2), (3269, 1), (7286, 1), (7295, 1), (7382, 1), (15162, 1), (15163, 1)], [(247, 1), (1583, 1)], [(20, 1), (37, 1), (53, 1), (66, 1), (77, 1), (117, 1), (173, 1), (232, 1), (970, 1), (15162, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (55, 1), (58, 1), (64, 2), (65, 2), (99, 1), (117, 1), (232, 1), (531, 1), (537, 1), (581, 1), (1163, 1), (1678, 1), (2543, 1), (2925, 1), (3536, 1), (7411, 1), (15161, 1)], [(18, 1), (20, 1), (25, 1), (36, 1), (50, 1), (65, 1), (66, 1), (85, 1), (117, 1), (225, 1), (232, 1), (537, 1), (702, 1), (13080, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (25, 2), (31, 1), (51, 1), (53, 3), (58, 2), (65, 3), (71, 1), (95, 1), (108, 1), (195, 1), (201, 1), (215, 1), (275, 1), (289, 1), (387, 1), (410, 1), (414, 1), (531, 1), (537, 2), (709, 1), (744, 1), (792, 2), (830, 2), (1470, 1), (1824, 1), (1904, 1), (2055, 1), (2387, 1), (2534, 1), (3495, 1), (3536, 1), (4296, 1), (4363, 1), (5040, 1), (5054, 1), (5969, 1), (6688, 1), (7411, 1), (7565, 1), (7685, 1), (15157, 1), (15158, 1), (15161, 1), (15164, 1), (15165, 1), (15166, 1), (15167, 1), (15168, 1)], [(7, 1), (8, 1), (10, 1), (18, 2), (19, 3), (20, 6), (21, 1), (22, 3), (25, 2), (30, 1), (31, 4), (37, 1), (45, 8), (50, 3), (53, 8), (54, 1), (55, 1), (65, 2), (72, 1), (74, 1), (75, 1), (76, 1), (77, 2), (81, 1), (82, 1), (90, 2), (96, 2), (111, 1), (123, 1), (170, 1), (173, 2), (193, 2), (209, 1), (237, 1), (240, 1), (256, 1), (259, 1), (269, 2), (347, 1), (428, 1), (448, 1), (531, 1), (537, 2), (581, 1), (654, 1), (709, 1), (756, 1), (782, 1), (827, 1), (990, 1), (1224, 1), (1498, 1), (1574, 1), (1627, 1), (1824, 1), (1830, 1), (2034, 1), (2064, 1), (2283, 1), (2344, 1), (2383, 1), (2716, 1), (2785, 1), (2971, 1), (3048, 1), (3536, 1), (3572, 1), (3911, 1), (3986, 1), (4556, 1), (5833, 1), (6292, 1), (6315, 1), (6886, 1), (6902, 1), (7053, 1), (7514, 1), (7815, 1), (7874, 1), (9439, 1), (9441, 1), (10515, 1), (10526, 1), (11965, 1), (13353, 1), (15156, 1), (15159, 1), (15161, 1), (15169, 1), (15170, 1), (15171, 1)], [(8, 1), (19, 1), (20, 4), (22, 2), (25, 3), (45, 3), (50, 1), (53, 3), (54, 1), (65, 4), (69, 1), (82, 1), (90, 1), (108, 1), (109, 1), (117, 1), (173, 2), (187, 1), (232, 1), (256, 1), (293, 1), (317, 1), (337, 1), (347, 1), (353, 1), (373, 1), (420, 1), (459, 1), (537, 1), (581, 1), (632, 1), (654, 1), (709, 1), (1122, 1), (1481, 1), (1519, 1), (1522, 1), (1624, 1), (1777, 1), (2140, 1), (2253, 1), (2479, 1), (2660, 1), (3000, 1), (3024, 1), (3482, 1), (3536, 2), (4988, 1), (5486, 1), (9588, 1), (10041, 1), (15158, 2), (15161, 1), (15172, 1), (15173, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (30, 1), (50, 1), (53, 4), (90, 1), (117, 1), (173, 1), (232, 1), (346, 1), (347, 1), (415, 1), (913, 1), (1248, 1), (1498, 1), (1627, 1), (2351, 1), (3465, 1), (5657, 1), (6129, 1), (6633, 1), (9439, 1), (13361, 1), (13784, 1), (14184, 1)], [(8, 1), (20, 1), (187, 1), (351, 1), (456, 1), (459, 1), (531, 1), (15174, 1), (15175, 1)], [(8, 1), (20, 2), (31, 1), (37, 1), (50, 2), (53, 1), (55, 1), (215, 2), (228, 1), (293, 1), (307, 1), (334, 1), (450, 2), (459, 1), (711, 1), (754, 1), (1720, 1), (1764, 1), (3292, 1), (3739, 1), (3797, 1), (4616, 1), (8059, 1), (10708, 1), (11076, 1), (15176, 1), (15177, 1), (15178, 1)], [(8, 1), (18, 2), (20, 2), (53, 1), (215, 1), (281, 1), (334, 2), (365, 1), (530, 1), (1102, 1), (1229, 1), (1270, 2), (1656, 1), (8341, 1), (15179, 1), (15180, 1)], [(7, 2), (8, 1), (18, 1), (20, 7), (25, 1), (30, 1), (31, 2), (45, 1), (51, 1), (53, 3), (55, 1), (97, 1), (111, 1), (185, 1), (215, 2), (228, 1), (240, 1), (415, 1), (448, 1), (692, 1), (903, 1), (1100, 1), (1229, 1), (1626, 1), (3830, 1), (5092, 1), (5568, 1), (6771, 1), (6859, 1), (9150, 1), (9534, 1), (10148, 1), (11370, 1), (15181, 1), (15182, 1), (15183, 1), (15184, 1), (15185, 1), (15186, 1)], [(8, 1), (19, 2), (20, 1), (22, 1), (31, 1), (37, 1), (53, 1), (58, 1), (71, 1), (77, 1), (82, 1), (95, 1), (108, 2), (185, 1), (193, 1), (744, 1), (903, 1), (1362, 1), (2186, 1), (3371, 1), (4417, 1), (7506, 1), (8053, 1), (9387, 1), (15175, 1), (15187, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (30, 1), (45, 1), (53, 2), (54, 1), (65, 1), (111, 1), (172, 1), (173, 1), (193, 1), (203, 1), (269, 1), (418, 1), (420, 1), (450, 2), (516, 1), (626, 1), (680, 1), (778, 1), (790, 1), (1102, 1), (1229, 1), (1476, 1), (1877, 1), (2100, 1), (2340, 1), (2785, 1), (3351, 1), (3828, 1), (5058, 2), (6794, 1), (10679, 1), (14299, 1), (15188, 1), (15189, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (25, 2), (30, 2), (31, 2), (45, 1), (50, 1), (53, 1), (54, 1), (55, 1), (97, 1), (172, 1), (193, 1), (309, 1), (415, 1), (686, 1), (813, 1), (903, 1), (1302, 1), (1392, 1), (1485, 1), (2258, 1), (2351, 1), (2847, 1), (3000, 1), (3141, 1), (4317, 1), (4652, 1), (6618, 1), (7875, 1), (7899, 1), (8814, 1), (9446, 1), (10033, 1), (10148, 1), (13131, 1), (13376, 1), (14269, 1), (15190, 1), (15191, 1)], [(64, 1), (117, 1), (232, 1), (448, 1), (946, 1), (2010, 1), (3083, 1), (15192, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (64, 1), (65, 1), (117, 1), (173, 1), (225, 1), (233, 1), (910, 1), (3073, 1), (3979, 1), (7295, 1), (15193, 1)], [(20, 1), (50, 2), (65, 1), (247, 1), (342, 1), (345, 1), (531, 1), (1350, 1), (1498, 1), (3979, 1), (15193, 1), (15194, 1)], [(8, 1), (20, 1), (30, 1), (31, 1), (214, 1), (1813, 1), (1978, 1), (2541, 1), (3221, 1), (6888, 1), (15195, 1)], [(19, 1), (20, 1), (22, 1), (23, 1), (40, 2), (53, 1), (95, 1), (109, 1), (117, 1), (122, 1), (232, 1), (256, 1), (293, 1), (307, 1), (377, 1), (754, 1), (763, 1), (792, 1), (1170, 1), (1644, 1), (1714, 1), (2070, 1), (7466, 1), (15196, 1)], [(20, 1), (45, 1), (58, 1), (66, 1), (71, 1), (117, 1), (173, 1), (203, 1), (232, 1), (482, 1), (6225, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (25, 3), (31, 1), (32, 1), (45, 4), (50, 3), (51, 1), (53, 3), (55, 1), (65, 1), (95, 1), (185, 1), (209, 1), (293, 1), (310, 1), (414, 2), (525, 1), (531, 1), (697, 1), (777, 1), (791, 1), (792, 1), (897, 1), (1159, 1), (1229, 1), (1266, 1), (1574, 1), (2064, 1), (2262, 1), (2649, 1), (2661, 1), (3237, 1), (4568, 1), (4943, 1), (5204, 1), (5717, 1), (6248, 1), (6684, 1), (7341, 1), (7920, 1), (8918, 1), (11076, 1), (11490, 1), (14224, 1), (15197, 1), (15198, 1), (15199, 1), (15200, 1), (15201, 1), (15202, 1), (15203, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (58, 2), (90, 1), (111, 1), (173, 1), (217, 1), (273, 1), (347, 2), (459, 1), (482, 1), (654, 1), (1070, 1), (2320, 1), (3371, 1), (5339, 1), (8918, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (23, 1), (25, 1), (30, 1), (51, 1), (53, 1), (64, 1), (65, 1), (90, 1), (95, 1), (108, 1), (117, 1), (295, 1), (574, 1), (691, 1), (707, 1), (1069, 1), (1137, 1), (1163, 1), (1239, 1), (1430, 1), (2854, 1), (2901, 1), (2925, 1), (3086, 1), (6490, 1), (7411, 1), (7830, 1), (15204, 1)], [(8, 1), (55, 1), (58, 1), (64, 1), (117, 1), (173, 1), (245, 1), (759, 1), (1163, 1), (1907, 1), (2925, 1), (6340, 1), (7286, 1), (15204, 1)], [(20, 1), (30, 1), (53, 1), (64, 1), (66, 1), (111, 1), (172, 1), (190, 1), (248, 1), (697, 1), (9439, 1)], [(8, 1), (19, 2), (20, 6), (25, 2), (37, 1), (53, 5), (54, 2), (55, 1), (69, 1), (74, 1), (82, 1), (91, 1), (95, 1), (108, 2), (173, 2), (185, 1), (187, 1), (215, 1), (238, 1), (256, 1), (269, 2), (334, 1), (407, 1), (415, 1), (459, 2), (744, 1), (880, 1), (913, 1), (1026, 1), (1068, 1), (1308, 1), (1342, 1), (1509, 1), (1764, 1), (1877, 1), (4299, 1), (5682, 1), (5936, 1), (6060, 1), (7097, 1), (8697, 1), (8937, 1), (15041, 1)], [(7, 2), (8, 1), (20, 2), (22, 1), (45, 1), (53, 4), (109, 1), (117, 2), (173, 1), (185, 1), (197, 1), (232, 2), (256, 1), (334, 1), (347, 3), (373, 1), (913, 1), (1102, 1), (1248, 1), (1416, 1), (1528, 1), (1702, 1), (2253, 1), (2344, 1), (2359, 1), (4034, 1), (4437, 1), (5657, 1), (6129, 1), (7385, 1), (9172, 1), (9439, 1), (13784, 1), (15158, 1), (15205, 1), (15206, 1)], [(8, 1), (19, 2), (20, 3), (24, 1), (25, 1), (30, 1), (45, 2), (54, 1), (71, 1), (90, 1), (109, 1), (166, 1), (173, 1), (285, 1), (293, 1), (307, 1), (387, 1), (560, 1), (711, 2), (827, 1), (1308, 1), (1732, 1), (2222, 1), (2734, 1), (2812, 1), (3419, 1), (4778, 1), (12388, 1), (12978, 1), (14307, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (45, 1), (53, 2), (55, 1), (65, 1), (71, 1), (90, 1), (108, 1), (173, 1), (185, 1), (193, 1), (195, 1), (209, 1), (285, 1), (415, 1), (903, 1), (913, 1), (1929, 1), (3536, 1), (3798, 1), (9767, 1), (12038, 1), (15158, 1), (15161, 1), (15207, 1), (15208, 1)], [(24, 1), (25, 1), (64, 1), (1178, 1), (3790, 1), (12918, 1), (15209, 1)], [(22, 1), (23, 1), (25, 1), (30, 1), (53, 1), (55, 1), (64, 1), (65, 1), (82, 1), (108, 1), (173, 1), (178, 1), (452, 1), (506, 1), (1157, 1), (1178, 1), (2371, 1), (2760, 1), (2872, 1), (2925, 1), (3022, 1), (7286, 1), (15210, 1), (15211, 1)], [(20, 1), (21, 1), (31, 1), (45, 1), (51, 1), (247, 1), (248, 1), (697, 1), (897, 1), (1198, 1), (5704, 1), (12031, 1), (15212, 1)], [(19, 1), (58, 1), (1178, 1), (10927, 1)], [(19, 3), (20, 1), (21, 2), (22, 1), (23, 2), (45, 1), (58, 2), (64, 1), (77, 1), (90, 1), (96, 1), (117, 3), (232, 1), (256, 1), (295, 2), (305, 1), (516, 1), (600, 1), (759, 1), (1075, 1), (1198, 1), (1506, 1), (1580, 1), (1615, 1), (1714, 1), (2145, 1), (2269, 1), (2299, 1), (2925, 1), (3221, 1), (3291, 1), (6465, 1), (7295, 1), (11991, 1), (15162, 1), (15213, 1)], [(19, 1), (90, 1), (295, 2), (498, 1), (1714, 1), (1715, 1), (1764, 1), (3461, 1), (4532, 1)], [(295, 1), (1161, 1), (1336, 1), (1714, 1), (15214, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (53, 1), (126, 1), (454, 1), (645, 1), (897, 1), (10324, 1), (15214, 1)], [(18, 1), (20, 1), (50, 1), (65, 1), (117, 1), (295, 1), (448, 1), (488, 1), (759, 1), (1021, 1), (1714, 1), (1907, 1), (2149, 1), (3280, 1), (4116, 1)], [(8, 1), (21, 2), (90, 1), (117, 3), (217, 1), (232, 1), (419, 2), (531, 2), (759, 1), (1907, 1), (2010, 1), (3146, 1), (3287, 1), (3745, 1), (4251, 1), (9720, 1), (13380, 1), (13889, 1)], [(7, 1), (8, 1), (20, 2), (21, 1), (25, 1), (31, 1), (53, 3), (117, 3), (226, 1), (232, 3), (317, 1), (328, 1), (345, 1), (373, 1), (1617, 1), (2690, 1), (2795, 1), (15215, 1), (15216, 1)], [(8, 1), (20, 1), (106, 1), (117, 1), (759, 1), (1685, 1), (1978, 1), (3291, 1)], [(90, 1), (193, 1), (247, 1), (1670, 1), (15162, 1)], [(20, 2), (24, 1), (25, 1), (50, 1), (58, 1), (77, 1), (82, 1), (111, 1), (174, 1), (190, 1), (295, 1), (600, 1), (946, 1), (999, 1), (1485, 1), (15217, 1)], [(64, 1), (247, 1), (1583, 1)], [(34, 1), (53, 1), (173, 1), (1178, 1), (4062, 1), (15218, 1)], [(18, 2), (20, 2), (21, 2), (25, 1), (53, 1), (186, 1), (247, 1), (310, 1), (414, 1), (516, 1), (596, 1), (1198, 1), (1583, 1), (2732, 1), (2925, 1), (3285, 1), (5880, 1), (5919, 1), (6546, 1), (7167, 1), (7411, 1), (8360, 1)], [(247, 1), (1583, 1)], [(18, 2), (20, 9), (21, 7), (25, 2), (30, 1), (32, 1), (34, 1), (65, 1), (90, 1), (99, 1), (108, 2), (117, 5), (173, 1), (232, 1), (247, 1), (295, 1), (324, 1), (611, 1), (744, 1), (759, 3), (828, 1), (1579, 3), (1580, 3), (1583, 1), (1907, 2), (1932, 1), (2680, 2), (2852, 1), (3034, 1), (3285, 3), (3291, 1), (3786, 1), (5134, 2), (5798, 1), (7821, 1), (9575, 1), (9896, 1), (13992, 1), (15162, 1), (15219, 1), (15220, 1), (15221, 1), (15222, 1), (15223, 1), (15224, 1), (15225, 1)], [(18, 1), (247, 1), (744, 1), (15226, 1)], [(117, 1), (295, 1), (759, 1), (1161, 1), (1714, 1), (3613, 1), (6213, 1)], [(18, 2), (20, 1), (247, 1), (351, 1), (378, 1), (600, 1), (1248, 1), (1403, 1), (2985, 1), (3786, 2), (5323, 1), (15227, 2)], [(20, 3), (24, 1), (32, 1), (50, 1), (90, 1), (117, 1), (232, 1), (410, 1), (596, 1), (946, 1), (1583, 1), (2593, 1), (3285, 3), (3786, 2), (15162, 1), (15227, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (25, 2), (31, 1), (45, 4), (50, 3), (53, 6), (54, 1), (55, 1), (65, 2), (117, 1), (185, 1), (193, 2), (229, 1), (239, 1), (441, 1), (537, 1), (581, 1), (697, 1), (913, 1), (922, 1), (1002, 1), (1039, 1), (1342, 1), (1416, 1), (1499, 1), (2039, 1), (2359, 1), (3300, 1), (3536, 1), (3921, 1), (6284, 1), (8324, 1), (9502, 1), (12081, 1), (15158, 1), (15161, 1), (15206, 1), (15228, 1), (15229, 1)], [(24, 1), (64, 1), (1178, 1), (1441, 1), (15230, 1), (15231, 1)], [(8, 1), (2925, 1), (7295, 1)], [(8, 1), (20, 2), (32, 1), (50, 2), (64, 1), (65, 4), (457, 1), (516, 1), (600, 1), (709, 1), (1070, 1), (1239, 1), (1403, 1), (2332, 1), (5199, 1), (8564, 1), (11991, 1), (15232, 1)], [(19, 1), (20, 1), (22, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 2), (65, 2), (99, 1), (108, 1), (117, 1), (214, 1), (273, 1), (295, 1), (324, 1), (418, 1), (596, 1), (645, 1), (1075, 1), (1714, 1), (1973, 1), (2291, 1), (5257, 1), (6675, 1), (8103, 1), (10472, 1), (10498, 1)], [(117, 1), (273, 1), (295, 1), (596, 1), (946, 1), (1075, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (64, 1), (65, 1), (273, 1), (394, 1), (516, 1), (2925, 1), (2997, 1), (6090, 1), (8422, 1), (9896, 1)], [(7, 1), (8, 1), (20, 4), (22, 1), (25, 1), (30, 1), (32, 1), (50, 1), (53, 3), (69, 1), (117, 1), (232, 1), (256, 1), (293, 1), (913, 1), (1248, 1), (2911, 1), (3292, 1), (6129, 1), (7383, 1), (9439, 1), (11871, 1), (14732, 1), (15205, 1), (15233, 1), (15234, 1), (15235, 1), (15236, 1)], [(19, 1), (20, 6), (32, 1), (45, 1), (50, 2), (53, 3), (55, 1), (64, 1), (90, 1), (186, 1), (247, 1), (337, 1), (351, 1), (359, 1), (420, 1), (531, 1), (696, 1), (707, 1), (1248, 1), (1322, 1), (2241, 1), (2296, 1), (2415, 1), (3020, 1), (3542, 1), (3908, 1), (3934, 1), (6252, 1), (8094, 1), (9767, 1), (12017, 1), (12108, 1), (15126, 1), (15237, 1), (15238, 1)], [(53, 1), (65, 1), (108, 1), (247, 1), (778, 1), (2370, 1), (2931, 1), (5664, 1)], [(53, 1), (55, 1), (247, 1), (8465, 1), (15162, 1)], [(30, 1), (777, 1), (1178, 1), (14402, 1)], [(8, 1), (18, 2), (20, 3), (30, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 2), (82, 1), (90, 1), (97, 1), (172, 1), (173, 1), (185, 1), (281, 1), (285, 1), (293, 1), (301, 1), (347, 3), (450, 1), (531, 1), (774, 1), (2133, 1), (2248, 1), (2362, 1), (4136, 1), (4903, 1), (5657, 1), (5795, 1), (6145, 1), (6899, 1), (10886, 1), (12017, 1), (14442, 1), (15158, 1), (15239, 1), (15240, 1), (15241, 1)], [(8, 1), (18, 2), (19, 2), (20, 6), (25, 3), (31, 2), (45, 2), (54, 3), (65, 1), (68, 1), (90, 1), (108, 1), (117, 1), (173, 1), (185, 1), (193, 1), (232, 1), (373, 1), (600, 1), (678, 1), (778, 1), (1081, 1), (1324, 1), (1342, 1), (1529, 1), (1703, 1), (1732, 1), (1902, 1), (2178, 1), (2370, 1), (3168, 1), (5699, 1), (7014, 1), (7286, 1), (7295, 1), (7411, 1), (9059, 1), (10265, 1), (15158, 1), (15242, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (53, 1), (117, 1), (186, 1), (232, 1), (414, 1), (711, 1), (1068, 1), (1686, 1), (2075, 1), (2354, 1), (2786, 1), (5657, 1), (9439, 1), (9902, 1), (11927, 1), (13776, 1)], [(8, 1), (20, 4), (25, 1), (31, 1), (37, 1), (53, 2), (54, 1), (90, 1), (91, 1), (95, 1), (109, 1), (117, 1), (124, 1), (173, 1), (232, 1), (353, 1), (404, 1), (414, 1), (432, 1), (459, 1), (913, 1), (1229, 1), (1529, 1), (1570, 1), (2479, 1), (3117, 1), (5058, 1), (8192, 1), (12217, 1), (15243, 1), (15244, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (54, 1), (122, 1), (407, 1), (1668, 1), (7917, 1), (15245, 1), (15246, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (24, 1), (25, 1), (30, 1), (31, 2), (32, 1), (45, 3), (50, 1), (54, 1), (85, 1), (95, 1), (178, 1), (269, 1), (307, 1), (531, 1), (632, 1), (706, 1), (1529, 1), (1764, 1), (2173, 1), (2428, 1), (3690, 1), (4532, 1), (4585, 1), (7485, 1), (8570, 1), (8814, 1), (8918, 1)], [(8, 1), (19, 2), (20, 5), (25, 1), (31, 2), (32, 1), (45, 2), (53, 2), (75, 1), (90, 2), (111, 1), (173, 3), (185, 1), (193, 1), (197, 1), (269, 1), (346, 1), (365, 1), (425, 1), (433, 1), (1702, 1), (2163, 1), (3192, 1), (4214, 1), (4286, 1), (4646, 1), (4827, 1), (5492, 1), (8918, 1), (9934, 1), (13838, 1), (15247, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (31, 1), (53, 2), (55, 1), (172, 1), (182, 1), (218, 1), (241, 1), (316, 1), (1010, 1), (1703, 1), (2716, 1), (4042, 1), (5081, 1), (6568, 1), (11063, 1), (15248, 1), (15249, 1), (15250, 1), (15251, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 3), (25, 4), (30, 2), (31, 2), (45, 2), (46, 1), (50, 3), (53, 5), (54, 2), (55, 1), (90, 1), (92, 1), (173, 1), (185, 2), (186, 1), (190, 1), (218, 1), (225, 1), (256, 1), (268, 1), (293, 1), (301, 1), (323, 1), (328, 1), (347, 1), (353, 1), (365, 1), (525, 1), (587, 1), (623, 1), (645, 1), (739, 2), (824, 2), (885, 1), (1088, 1), (1159, 1), (1529, 1), (1668, 1), (1702, 1), (1966, 1), (3382, 1), (4182, 1), (4782, 1), (5122, 1), (9115, 1), (9443, 1), (9446, 1), (9847, 1), (11688, 1), (13551, 1), (13821, 1), (14751, 1), (15246, 1), (15252, 1), (15253, 1), (15254, 1), (15255, 1), (15256, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (25, 1), (30, 1), (32, 1), (40, 1), (45, 1), (50, 1), (53, 3), (71, 1), (90, 1), (96, 1), (108, 1), (117, 1), (124, 1), (172, 1), (174, 1), (203, 1), (232, 1), (256, 1), (285, 2), (407, 1), (452, 1), (560, 1), (687, 1), (691, 1), (833, 1), (903, 1), (913, 1), (1520, 1), (1820, 1), (1964, 1), (2270, 1), (2344, 1), (3465, 1), (3864, 1), (5081, 1), (6034, 1), (6129, 1), (12479, 1), (13882, 1), (15158, 1), (15257, 1), (15258, 1), (15259, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 2), (22, 1), (25, 2), (31, 1), (37, 1), (45, 1), (50, 1), (53, 4), (95, 1), (108, 1), (186, 1), (268, 1), (301, 1), (450, 3), (704, 1), (706, 1), (777, 1), (792, 1), (800, 1), (833, 1), (1025, 1), (1248, 2), (1361, 1), (1578, 2), (2731, 1), (2965, 1), (3025, 1), (3590, 1), (3614, 1), (4793, 1), (5578, 1), (5682, 1), (8037, 1), (8103, 1), (8140, 1), (9439, 1), (9588, 1), (10070, 1), (11567, 1), (12373, 1), (15260, 1)], [(25, 1), (50, 1), (65, 1), (247, 1), (427, 1), (778, 1), (999, 1), (8541, 1), (15261, 1)], [(7, 1), (8, 1), (20, 4), (24, 1), (25, 2), (31, 1), (45, 1), (50, 1), (53, 4), (55, 1), (85, 1), (90, 1), (95, 1), (117, 2), (232, 2), (459, 1), (744, 1), (763, 1), (777, 1), (913, 1), (1248, 2), (1578, 1), (2228, 1), (2383, 1), (2479, 1), (3782, 1), (4937, 1), (6411, 1), (6459, 1), (8293, 1), (9439, 1), (12170, 1), (13784, 1), (15158, 1), (15262, 1), (15263, 1)], [(7, 1), (8, 2), (18, 1), (20, 3), (21, 4), (22, 1), (23, 1), (37, 1), (64, 2), (65, 1), (71, 2), (91, 1), (99, 1), (117, 3), (173, 1), (186, 1), (215, 1), (232, 1), (281, 1), (295, 1), (448, 1), (726, 1), (759, 1), (910, 1), (970, 1), (1097, 1), (1163, 1), (1528, 1), (1580, 1), (2070, 1), (2086, 1), (2367, 1), (2392, 1), (2854, 1), (2925, 1), (3034, 1), (3435, 1), (3613, 1), (4791, 1), (4924, 1), (4976, 1), (6008, 1), (7295, 1), (9471, 1), (10074, 1), (11336, 1), (13284, 1), (15264, 1)], [(247, 1), (2931, 1)], [(8, 1), (19, 1), (32, 1), (53, 1), (77, 1), (185, 1), (697, 1), (752, 1)], [(18, 1), (247, 1), (7124, 1), (7463, 1), (15265, 1)], [(18, 1), (50, 1), (53, 1), (193, 1), (247, 1), (287, 1), (325, 1), (419, 1), (516, 1), (623, 1), (1248, 1), (2931, 1), (3221, 1), (3786, 1), (15163, 1), (15266, 1), (15267, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (21, 1), (22, 1), (25, 1), (30, 1), (31, 2), (50, 2), (53, 1), (65, 1), (85, 1), (90, 1), (99, 2), (106, 1), (117, 1), (232, 1), (278, 1), (327, 1), (328, 1), (414, 1), (420, 2), (497, 1), (506, 1), (531, 1), (697, 1), (827, 1), (1132, 1), (1332, 1), (1594, 1), (1978, 1), (2655, 1), (3275, 1), (4062, 1), (5600, 1), (6209, 1), (7355, 1), (8059, 1), (13668, 1), (13747, 1), (15268, 1)], [(247, 1), (2931, 1)], [(18, 2), (19, 1), (21, 1), (37, 1), (53, 1), (77, 1), (117, 1), (173, 1), (185, 1), (232, 1), (247, 1), (310, 1), (420, 1), (531, 1), (697, 1), (1180, 1), (1764, 1), (2189, 1), (3084, 1), (4858, 1), (4937, 1), (6342, 1), (7003, 1), (7004, 1)], [(247, 1), (2931, 1)], [(53, 1), (95, 1), (185, 1), (1178, 1), (1756, 1), (2169, 1), (15269, 1)], [(8, 1), (18, 1), (53, 1), (54, 1), (117, 1), (232, 1), (269, 1), (301, 1), (381, 1), (742, 1), (2102, 1)], [(8, 1), (18, 1), (20, 1), (173, 1), (2295, 1), (3594, 1), (10280, 1), (14584, 1), (15270, 1)], [(8, 1), (18, 2), (19, 3), (20, 5), (21, 2), (22, 2), (31, 2), (37, 1), (50, 2), (53, 15), (55, 3), (65, 1), (69, 1), (90, 2), (91, 1), (109, 1), (185, 1), (193, 1), (215, 1), (260, 1), (285, 1), (293, 1), (310, 1), (338, 1), (414, 1), (428, 1), (450, 1), (459, 2), (601, 1), (680, 1), (711, 1), (744, 1), (774, 1), (775, 1), (913, 1), (1010, 1), (1012, 1), (1057, 1), (1068, 1), (1122, 1), (1248, 3), (1304, 1), (1529, 2), (1540, 1), (1627, 1), (1720, 1), (1806, 1), (1867, 1), (2344, 1), (2348, 1), (2608, 1), (2615, 2), (2616, 1), (3095, 1), (3634, 1), (3658, 1), (3898, 1), (4086, 1), (4282, 1), (4468, 1), (4787, 1), (4937, 1), (5533, 1), (5732, 1), (6411, 1), (6771, 1), (6840, 1), (8278, 1), (9372, 1), (10686, 1), (12169, 1), (12184, 1), (13674, 1), (13940, 1), (14747, 1), (15271, 1), (15272, 1), (15273, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (50, 1), (53, 2), (54, 1), (90, 1), (95, 1), (108, 1), (124, 1), (331, 1), (448, 1), (711, 1), (884, 1), (1102, 1), (1239, 1), (1342, 1), (1627, 1), (3709, 1), (5169, 1), (5378, 1), (5533, 1), (12108, 1), (14075, 1), (15274, 1), (15275, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 2), (25, 1), (31, 1), (45, 2), (50, 2), (53, 4), (58, 3), (64, 1), (72, 1), (77, 3), (90, 1), (109, 1), (172, 1), (185, 4), (186, 1), (210, 1), (215, 1), (217, 1), (301, 1), (310, 1), (414, 1), (428, 1), (482, 1), (626, 1), (697, 1), (771, 1), (913, 1), (1102, 1), (1163, 1), (1379, 1), (1458, 1), (1476, 1), (1627, 1), (1824, 1), (2467, 2), (2541, 1), (3476, 1), (3756, 1), (4058, 1), (5578, 1), (6658, 1), (6983, 1), (10782, 1), (15276, 1)], [(8, 1), (19, 3), (20, 3), (22, 1), (50, 2), (53, 6), (58, 2), (71, 1), (77, 4), (82, 1), (90, 1), (95, 1), (108, 1), (124, 1), (173, 1), (185, 1), (256, 1), (387, 1), (454, 1), (490, 1), (680, 1), (886, 1), (1487, 1), (1742, 1), (2029, 1), (2456, 1), (3057, 1), (3416, 1), (6487, 1), (7184, 1), (7472, 1), (7906, 1), (10575, 1), (12422, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 2), (30, 1), (31, 1), (50, 2), (53, 3), (77, 1), (95, 1), (263, 1), (680, 1), (704, 1), (833, 1), (1024, 1), (1160, 1), (1259, 1), (1901, 1), (3658, 1), (3673, 1), (4699, 1), (5839, 1), (6155, 1), (6213, 1), (8923, 1), (15277, 1)], [(18, 2), (20, 5), (22, 2), (31, 1), (37, 1), (45, 1), (50, 3), (53, 2), (65, 1), (95, 1), (96, 1), (186, 1), (226, 1), (247, 1), (260, 1), (288, 1), (414, 1), (418, 1), (419, 1), (531, 1), (583, 1), (587, 1), (626, 1), (751, 1), (767, 1), (796, 1), (800, 1), (828, 1), (897, 1), (1010, 1), (1487, 1), (1887, 1), (3034, 1), (4920, 1), (5054, 1), (5092, 1), (5204, 1), (9634, 1), (10613, 1), (11883, 1)], [(8, 1), (50, 1), (53, 1), (122, 1), (193, 1), (202, 1), (203, 1), (457, 1), (796, 1), (947, 1), (15278, 1)], [(8, 1), (20, 3), (25, 2), (37, 1), (50, 2), (53, 1), (55, 1), (58, 1), (65, 2), (193, 1), (225, 1), (336, 1), (355, 1), (414, 1), (450, 1), (600, 1), (796, 1), (1070, 1), (1239, 1), (1363, 1), (3413, 1), (5257, 1), (7119, 1), (10488, 1), (12504, 1)], [(18, 3), (20, 5), (22, 2), (25, 3), (31, 1), (37, 1), (50, 2), (53, 3), (54, 1), (82, 2), (90, 3), (96, 1), (109, 1), (111, 2), (112, 1), (161, 1), (172, 1), (186, 1), (209, 1), (215, 2), (236, 1), (247, 1), (285, 1), (289, 1), (293, 1), (310, 1), (328, 1), (365, 1), (381, 1), (414, 1), (426, 1), (428, 1), (518, 1), (813, 1), (913, 1), (1041, 2), (1071, 1), (1248, 1), (1806, 1), (2034, 1), (2279, 1), (2324, 1), (3020, 1), (3988, 1), (4353, 1), (4439, 1), (4641, 1), (5173, 1), (6261, 1), (6583, 1), (7396, 1), (7485, 1), (8285, 1), (8542, 1), (13684, 1), (14833, 1), (14982, 1), (15279, 1)], [(8, 1), (50, 1), (53, 1), (193, 1), (456, 1), (459, 1), (1118, 1), (1540, 1), (2323, 1), (2616, 1), (2681, 1), (4282, 1)], [(7, 1), (8, 1), (19, 1), (53, 2), (54, 1), (58, 1), (90, 1), (210, 1), (334, 1), (361, 1), (456, 1), (516, 1), (531, 1), (744, 1), (796, 1), (1248, 1), (3026, 1), (3269, 1), (5496, 1), (9048, 1), (11910, 1), (15280, 1), (15281, 1)], [(1714, 1), (8145, 1)], [(19, 1), (25, 1), (96, 1), (1714, 1)], [(8, 1), (50, 1), (553, 1), (1248, 1), (1363, 1), (5794, 1)], [(45, 1), (50, 1), (53, 1), (54, 1), (55, 1), (58, 1), (185, 1), (233, 1), (283, 1), (293, 1), (357, 1), (776, 1), (981, 1), (1198, 1), (1714, 1), (2909, 1), (3049, 1), (3804, 1), (7539, 1), (9497, 1), (10070, 1), (15282, 1)], [(45, 1), (55, 1), (65, 1), (74, 1), (111, 1), (706, 1), (1714, 1), (2687, 1)], [(18, 1), (20, 3), (22, 3), (24, 1), (30, 3), (50, 2), (53, 5), (90, 1), (173, 2), (193, 2), (214, 1), (215, 2), (369, 1), (392, 1), (560, 1), (885, 1), (1072, 2), (1178, 1), (1867, 1), (1911, 1), (2519, 1), (2734, 1), (4684, 1), (4790, 1), (6998, 1), (8122, 1), (8940, 2), (10887, 1), (15283, 1), (15284, 1), (15285, 1), (15286, 1), (15287, 1)], [(53, 1), (106, 1), (1714, 1), (3804, 1)], [(173, 1), (185, 1), (1714, 1)], [(247, 1), (1583, 1)], [(8, 1), (53, 1), (90, 1), (743, 1), (3523, 1), (15288, 1), (15289, 1)], [(18, 1), (19, 1), (20, 2), (30, 1), (31, 1), (45, 2), (50, 2), (53, 4), (55, 1), (65, 1), (74, 1), (109, 1), (117, 1), (210, 1), (232, 1), (247, 1), (286, 1), (347, 1), (365, 1), (623, 1), (706, 1), (742, 1), (1403, 1), (1487, 1), (1809, 1), (2687, 1), (5196, 1), (5712, 1), (6129, 1), (15290, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (53, 3), (90, 2), (117, 1), (172, 1), (174, 1), (203, 1), (217, 1), (310, 1), (359, 1), (891, 1), (913, 1), (1071, 1), (1248, 1), (1350, 1), (1966, 2), (2340, 1), (2601, 1), (3663, 1), (4193, 1), (5710, 1), (8169, 1), (8923, 1), (11073, 1), (14849, 1)], [(19, 1), (45, 1), (53, 1), (95, 1), (172, 1), (203, 1), (217, 1), (247, 1), (288, 1), (574, 1), (581, 1), (692, 1), (706, 1), (744, 1), (777, 1), (2010, 1), (2145, 1), (5271, 1), (9835, 1), (10874, 1)], [(7, 2), (8, 1), (19, 1), (20, 6), (22, 1), (25, 1), (31, 2), (45, 1), (50, 1), (53, 4), (64, 1), (90, 1), (91, 2), (95, 1), (173, 1), (197, 1), (215, 2), (293, 1), (505, 1), (600, 1), (680, 1), (983, 1), (1163, 1), (1248, 1), (1748, 1), (1856, 1), (2615, 1), (2850, 1), (2925, 1), (3331, 1), (4479, 1), (7286, 1), (7363, 1), (7654, 1), (10781, 1), (12017, 1), (12121, 1), (15291, 1), (15292, 1), (15293, 1)], [(8, 1), (18, 3), (20, 4), (24, 1), (31, 1), (50, 1), (53, 4), (58, 1), (109, 2), (190, 1), (193, 1), (214, 1), (215, 1), (334, 1), (365, 1), (420, 1), (428, 1), (778, 1), (913, 1), (1416, 1), (1596, 1), (2939, 1), (3121, 1), (3134, 1), (3352, 1), (3594, 1), (4052, 1), (4282, 1), (4479, 1), (4963, 1), (5732, 1), (7110, 1), (14222, 1), (15294, 1), (15295, 1), (15296, 1)], [(31, 1), (64, 1), (247, 1), (13811, 1)], [(31, 1), (1178, 1), (13811, 1)], [(22, 1), (64, 1), (66, 1), (117, 1), (173, 1), (232, 1), (1458, 1), (2925, 1), (6983, 1), (7286, 1)], [(8, 1), (20, 5), (24, 1), (25, 1), (31, 1), (32, 1), (37, 1), (50, 2), (53, 3), (75, 1), (82, 1), (95, 1), (97, 1), (117, 2), (166, 1), (172, 1), (174, 1), (217, 1), (232, 2), (269, 1), (307, 1), (388, 1), (418, 1), (428, 1), (459, 1), (531, 1), (626, 1), (680, 1), (709, 1), (913, 1), (1570, 1), (1627, 1), (2185, 1), (2615, 1), (2729, 1), (3192, 1), (3670, 1), (4160, 1), (5486, 1), (5910, 1), (7114, 1), (11430, 1), (12453, 1)], [(8, 1), (45, 1), (602, 1), (1664, 1), (3000, 1), (3822, 1), (12187, 1), (12818, 1)], [(8, 1), (20, 2), (31, 3), (50, 1), (53, 1), (65, 1), (77, 1), (111, 1), (193, 1), (202, 1), (214, 1), (228, 1), (328, 1), (359, 1), (405, 1), (407, 1), (420, 1), (448, 1), (450, 1), (526, 2), (574, 1), (708, 1), (871, 1), (1021, 1), (1642, 1), (2191, 1), (2192, 1), (3550, 1), (5013, 1), (5404, 1), (5460, 1), (5941, 1), (15297, 1)], [(7, 2), (8, 1), (18, 4), (19, 2), (20, 3), (22, 2), (25, 1), (30, 1), (31, 1), (45, 2), (50, 3), (53, 4), (55, 1), (58, 1), (65, 2), (71, 1), (77, 3), (90, 1), (95, 1), (109, 1), (172, 1), (185, 1), (193, 2), (215, 1), (233, 1), (246, 1), (260, 1), (269, 1), (281, 1), (293, 3), (334, 1), (420, 2), (505, 1), (531, 1), (680, 1), (776, 1), (830, 1), (1021, 1), (1118, 1), (1245, 1), (1287, 1), (1522, 1), (2259, 1), (2985, 1), (3121, 1), (3431, 1), (3673, 1), (3700, 1), (3794, 1), (4020, 1), (4326, 1), (5121, 1), (6364, 1), (8216, 1), (8923, 1), (8964, 1), (8968, 1), (9192, 1), (10470, 1), (12136, 1), (15298, 1), (15299, 1), (15300, 1), (15301, 1)], [(8, 1), (18, 3), (20, 3), (22, 1), (25, 4), (30, 1), (31, 3), (50, 2), (53, 2), (65, 2), (77, 2), (90, 1), (108, 1), (173, 1), (190, 2), (215, 1), (240, 1), (246, 1), (260, 1), (293, 2), (538, 1), (587, 1), (708, 1), (1021, 1), (1041, 1), (1284, 1), (1348, 1), (1742, 1), (1807, 1), (1820, 1), (1937, 1), (1956, 1), (2144, 1), (2389, 1), (2515, 1), (5653, 1), (6682, 2), (7157, 1), (7828, 1), (9841, 1), (10231, 1), (13158, 1), (14628, 1)], [(7, 1), (8, 1), (20, 8), (25, 2), (30, 1), (31, 1), (32, 1), (45, 2), (53, 5), (54, 1), (65, 1), (95, 1), (97, 1), (109, 1), (185, 1), (193, 1), (201, 1), (281, 1), (353, 1), (420, 1), (428, 2), (459, 2), (573, 1), (706, 1), (711, 1), (777, 1), (913, 1), (1010, 1), (1041, 1), (1308, 1), (1467, 1), (1529, 1), (2351, 1), (2466, 1), (2719, 1), (3025, 1), (3064, 1), (3264, 1), (3438, 1), (3457, 1), (3690, 1), (3791, 1), (4042, 1), (5368, 1), (6416, 1), (6771, 1), (7362, 1), (8341, 1), (8535, 1), (8814, 1), (11811, 1), (11855, 1), (15302, 1), (15303, 1)], [(8, 1), (20, 1), (30, 1), (50, 1), (185, 1), (217, 1), (268, 2), (347, 1), (426, 1), (1021, 1), (1348, 1), (1477, 1), (1596, 1), (1820, 1), (1824, 1), (1877, 1), (2344, 1), (4379, 1), (4549, 1), (4961, 1)], [(8, 1), (20, 2), (54, 1), (58, 1), (215, 1), (505, 1), (711, 1), (3000, 1), (3633, 1), (11645, 1), (15304, 1)], [(8, 1), (20, 3), (30, 1), (32, 1), (45, 1), (50, 2), (53, 2), (54, 1), (55, 1), (58, 1), (77, 1), (90, 1), (124, 1), (209, 1), (289, 1), (602, 1), (913, 1), (1080, 1), (1596, 1), (1630, 1), (2985, 1), (3739, 1), (5806, 1), (6695, 1), (13618, 1), (14527, 1)], [(8, 1), (20, 2), (45, 1), (53, 1), (111, 1), (217, 1), (261, 2), (347, 1), (459, 1), (1139, 1), (1964, 1), (3000, 1), (3537, 1), (11018, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (32, 1), (34, 1), (50, 1), (53, 4), (65, 1), (95, 1), (97, 1), (109, 1), (117, 1), (209, 1), (232, 1), (261, 1), (293, 1), (347, 1), (420, 1), (776, 1), (1330, 1), (2599, 1), (2847, 1), (3097, 1), (5233, 1), (9916, 1), (11314, 1), (12697, 1), (13826, 1), (14182, 1), (14764, 1), (15246, 1), (15305, 1), (15306, 1), (15307, 1), (15308, 1)], [(8, 1), (54, 1), (301, 1), (328, 1), (2500, 1), (3056, 1)], [(7, 1), (8, 1), (19, 3), (20, 5), (25, 5), (31, 1), (37, 3), (42, 1), (45, 3), (50, 1), (51, 1), (53, 3), (65, 1), (71, 1), (90, 1), (173, 1), (203, 1), (261, 1), (269, 1), (286, 1), (415, 1), (441, 1), (600, 1), (902, 1), (983, 1), (1069, 1), (2365, 1), (3238, 1), (4249, 1), (4388, 1), (4592, 1), (5115, 1), (5161, 1), (11314, 1), (13559, 1), (14456, 1), (15309, 1), (15310, 1), (15311, 1), (15312, 1)], [(8, 1), (18, 2), (20, 3), (31, 1), (45, 1), (50, 1), (53, 2), (111, 1), (112, 1), (173, 1), (193, 1), (310, 1), (414, 1), (424, 1), (1021, 1), (2344, 1), (2366, 1), (3136, 1), (5913, 1), (7164, 1), (8017, 1), (12124, 1), (14372, 1), (15313, 1), (15314, 1), (15315, 1)], [(22, 1), (30, 1), (64, 2), (66, 1), (126, 1), (328, 1), (498, 1), (506, 1), (776, 1), (1163, 1), (1731, 1), (2455, 1), (2925, 1), (3265, 1), (7411, 1), (12942, 1)], [(64, 1), (1178, 1), (6994, 1)], [(20, 1), (50, 1), (64, 1), (90, 1), (117, 1), (232, 1), (268, 1), (328, 1), (1178, 1), (2925, 1), (4839, 1), (7286, 1)], [(8, 1), (54, 1), (278, 1), (301, 1), (1282, 1), (7286, 1), (15316, 1)], [(7, 1), (8, 1), (20, 5), (25, 3), (32, 1), (37, 1), (50, 2), (53, 5), (55, 2), (58, 1), (91, 1), (95, 1), (109, 1), (117, 1), (124, 1), (185, 1), (193, 1), (232, 1), (373, 1), (428, 1), (450, 1), (531, 1), (560, 1), (573, 1), (777, 1), (833, 1), (982, 1), (1021, 1), (1138, 1), (1528, 1), (1570, 1), (2239, 1), (2336, 1), (2359, 1), (2428, 1), (2789, 1), (3025, 1), (3142, 1), (4282, 1), (4891, 1), (6453, 1), (6490, 1), (7411, 1), (7434, 1), (8293, 1), (12410, 1), (15242, 1), (15317, 1), (15318, 1), (15319, 1), (15320, 1), (15321, 1)], [(8, 1), (45, 1), (54, 1), (122, 1), (983, 1), (1025, 1)], [(7, 2), (8, 1), (18, 2), (20, 6), (22, 3), (25, 2), (45, 3), (50, 2), (53, 2), (54, 1), (55, 1), (56, 1), (90, 1), (109, 1), (173, 3), (185, 1), (186, 1), (286, 1), (293, 1), (347, 1), (353, 1), (414, 1), (516, 2), (632, 1), (769, 1), (777, 2), (778, 1), (897, 1), (1021, 1), (1324, 1), (1342, 1), (1557, 1), (2163, 1), (2324, 2), (2406, 1), (3583, 1), (4349, 1), (4365, 1), (6699, 1), (7167, 1), (7283, 1), (7991, 1), (8918, 1), (11673, 1), (12792, 1), (13823, 1), (14857, 1), (15322, 1), (15323, 1)], [(8, 1), (20, 1), (54, 1), (90, 1), (122, 1), (407, 1), (2344, 1), (8814, 1), (15324, 1), (15325, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (21, 1), (25, 2), (50, 1), (53, 5), (55, 1), (65, 2), (77, 1), (95, 1), (109, 1), (174, 1), (209, 1), (293, 1), (420, 1), (448, 1), (678, 1), (680, 1), (708, 1), (1350, 1), (1354, 1), (1880, 1), (2099, 1), (2246, 1), (2344, 1), (2432, 1), (4500, 1), (5054, 1), (5559, 1), (6232, 1), (8814, 1), (9634, 1), (10249, 1), (15326, 2), (15327, 1)], [(8, 1), (20, 2), (26, 1), (37, 1), (50, 2), (53, 4), (55, 1), (459, 1), (709, 1), (979, 1), (982, 1), (1041, 1), (1529, 1), (3256, 1), (3579, 1), (5016, 1), (6567, 1), (7153, 1), (8544, 1), (15328, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (53, 2), (54, 1), (58, 1), (90, 1), (91, 1), (95, 1), (117, 1), (174, 1), (193, 1), (197, 1), (232, 1), (293, 1), (373, 1), (459, 1), (827, 1), (1071, 1), (1330, 1), (1478, 1), (1520, 1), (1997, 1), (2270, 1), (2323, 1), (2615, 1), (3386, 1), (5496, 1), (5749, 1), (7286, 1), (9809, 1), (12851, 1), (15329, 1)], [(7, 1), (8, 1), (19, 2), (20, 5), (25, 1), (26, 1), (53, 5), (54, 3), (58, 1), (65, 1), (90, 1), (95, 1), (108, 1), (193, 1), (285, 1), (328, 1), (420, 1), (452, 1), (632, 1), (639, 1), (709, 1), (776, 1), (1159, 1), (1732, 1), (1822, 1), (2655, 1), (2795, 1), (3791, 1), (5482, 1), (5749, 1), (6097, 1), (6560, 1), (6601, 1), (8152, 1), (9915, 1), (11756, 1), (13547, 1), (15141, 1), (15330, 1)], [(8, 1), (18, 1), (20, 2), (30, 1), (31, 1), (45, 1), (50, 2), (53, 4), (54, 1), (55, 1), (69, 1), (90, 1), (122, 1), (281, 1), (293, 1), (307, 1), (406, 1), (414, 1), (428, 1), (503, 1), (763, 1), (894, 1), (1596, 1), (2259, 1), (2733, 1), (3403, 1), (3685, 1), (3700, 1), (4058, 1), (5743, 1), (7164, 1), (14206, 1), (15331, 1)], [(8, 1), (19, 3), (20, 3), (22, 1), (25, 1), (31, 2), (50, 3), (53, 5), (55, 1), (91, 1), (108, 1), (161, 1), (172, 1), (187, 1), (195, 1), (203, 1), (214, 1), (215, 1), (217, 1), (268, 1), (301, 1), (328, 1), (415, 1), (448, 1), (450, 1), (578, 1), (764, 1), (795, 1), (893, 1), (894, 1), (1255, 1), (1607, 1), (1899, 1), (2184, 1), (2197, 1), (2718, 1), (3041, 1), (3383, 1), (4058, 1), (4296, 1), (4299, 1), (4491, 1), (5833, 1), (7243, 1), (14766, 1), (14846, 1), (15332, 1), (15333, 1), (15334, 1)], [(8, 1), (18, 1), (20, 2), (30, 1), (31, 1), (50, 2), (53, 3), (54, 1), (58, 1), (65, 1), (82, 1), (109, 1), (124, 1), (301, 1), (386, 1), (410, 1), (706, 1), (827, 1), (894, 1), (1348, 1), (1379, 1), (1702, 1), (2666, 1), (2734, 1), (3383, 1), (3495, 1), (4058, 1), (4317, 1), (7913, 1)], [(90, 1), (347, 1), (386, 1), (1379, 1), (1714, 1), (2010, 1), (3025, 1)], [(331, 1), (420, 1), (1714, 1)], [(7, 1), (8, 1), (54, 1), (117, 1), (122, 1), (172, 1), (174, 1), (217, 1), (307, 1), (394, 1), (448, 1), (601, 1), (1457, 1), (3025, 1), (3043, 1), (4130, 1), (4980, 1)], [(8, 1), (50, 1), (77, 1), (85, 1), (172, 1), (185, 1), (217, 1), (268, 1), (328, 1), (415, 1), (423, 1), (596, 1), (601, 1), (2160, 1), (2826, 1), (15335, 1), (15336, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 2), (26, 1), (53, 3), (54, 1), (117, 2), (232, 2), (301, 1), (365, 1), (709, 1), (777, 1), (827, 1), (2140, 1), (2234, 1), (2772, 1), (3594, 1), (3658, 1), (3686, 1), (4286, 1), (6601, 1), (9947, 1), (12055, 1), (15070, 1), (15337, 1), (15338, 1)], [(8, 1), (19, 6), (20, 9), (22, 2), (25, 1), (26, 1), (31, 1), (50, 1), (53, 8), (54, 3), (55, 1), (58, 4), (65, 2), (90, 2), (91, 1), (97, 1), (109, 1), (172, 1), (193, 1), (217, 1), (281, 1), (285, 1), (293, 1), (300, 1), (323, 1), (347, 1), (406, 1), (414, 2), (420, 2), (459, 1), (504, 1), (708, 1), (709, 1), (744, 1), (897, 1), (1475, 1), (1481, 1), (1702, 1), (2344, 1), (2387, 1), (2581, 2), (2785, 1), (3189, 1), (3468, 1), (4323, 1), (4473, 1), (4666, 1), (4912, 1), (5481, 1), (5482, 1), (5732, 1), (5942, 1), (5978, 1), (6375, 1), (6737, 1), (7286, 1), (7894, 1), (9915, 1), (15339, 1), (15340, 1), (15341, 1)], [(8, 1), (31, 1), (53, 1), (54, 1), (1260, 1), (6129, 1), (7332, 1), (12105, 1)], [(8, 1), (18, 1), (19, 1), (50, 2), (53, 3), (54, 1), (186, 1), (415, 1), (516, 1), (553, 1), (632, 1), (2064, 1), (2321, 1), (4709, 1), (4969, 1), (6918, 1), (14800, 1), (15342, 1)], [(8, 1), (24, 1), (25, 1), (709, 1), (6639, 1), (15343, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (50, 2), (53, 2), (109, 1), (450, 1), (459, 1), (1159, 1), (1693, 1), (2211, 1), (2649, 1), (2694, 1), (3537, 1), (4085, 1), (15344, 1), (15345, 1), (15346, 1)], [(8, 1), (19, 3), (20, 3), (22, 1), (25, 3), (32, 1), (37, 1), (50, 2), (53, 7), (65, 1), (71, 1), (82, 1), (90, 1), (91, 1), (95, 1), (109, 1), (166, 1), (193, 1), (197, 1), (281, 1), (293, 1), (347, 1), (359, 1), (414, 1), (443, 1), (459, 1), (525, 1), (709, 1), (777, 1), (903, 2), (1287, 1), (1416, 1), (1529, 1), (1764, 1), (1823, 1), (1988, 1), (2366, 1), (2828, 1), (2985, 1), (4323, 1), (4447, 1), (5482, 1), (5566, 1), (6248, 1), (6763, 1), (7317, 1), (8544, 1), (9915, 1), (13378, 1), (14527, 1), (15347, 1), (15348, 1), (15349, 1), (15350, 1)], [(20, 2), (64, 1), (117, 1), (295, 1), (414, 2), (759, 1), (946, 1), (1867, 1), (3291, 1), (10402, 1)], [(18, 2), (19, 2), (20, 1), (26, 1), (31, 1), (50, 1), (53, 1), (64, 1), (71, 1), (117, 1), (167, 1), (247, 1), (744, 1), (759, 1), (1907, 1), (2925, 1), (3353, 1), (6601, 1), (7295, 1)], [(8, 1), (20, 2), (58, 1), (108, 1), (111, 1), (203, 1), (287, 1), (419, 1), (600, 1), (639, 1), (1685, 1), (1901, 1), (5719, 1)], [(18, 2), (20, 3), (22, 1), (23, 1), (25, 3), (50, 1), (53, 1), (55, 1), (65, 1), (66, 1), (108, 1), (164, 1), (269, 1), (273, 1), (295, 1), (324, 1), (328, 1), (703, 1), (742, 1), (1165, 1), (2829, 1), (2864, 1), (3269, 1), (4582, 1), (5482, 1), (5788, 1), (6533, 1), (6768, 1), (7317, 1)], [(64, 1), (1714, 1), (10518, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 2), (50, 1), (53, 2), (65, 1), (85, 1), (117, 1), (173, 1), (193, 1), (232, 1), (880, 1), (988, 1), (1163, 1), (2734, 1), (2911, 1), (2925, 1), (3082, 1), (3378, 1), (3614, 1), (3784, 1), (4390, 1), (4939, 1), (5068, 1), (5482, 1), (9915, 1), (10753, 1), (12781, 1), (14656, 1)], [(8, 1), (18, 1), (20, 3), (50, 1), (53, 2), (263, 1), (301, 1), (420, 1), (459, 1), (532, 1), (1520, 1), (2656, 1), (5732, 1), (5942, 1), (11558, 1), (12048, 1), (15351, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (53, 2), (197, 1), (709, 1), (1068, 1), (2348, 1), (5492, 1), (7917, 1), (10273, 1), (10498, 1), (13123, 1), (13668, 1), (15347, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (50, 1), (53, 1), (58, 1), (77, 1), (108, 1), (161, 1), (185, 1), (225, 1), (346, 1), (387, 1), (452, 1), (461, 1), (756, 1), (1253, 1), (1378, 1), (1824, 1), (1911, 1), (3495, 1), (5982, 1), (7500, 1), (8544, 1), (10069, 1), (11349, 1), (11551, 1)], [(8, 1), (20, 1), (53, 2), (55, 2), (111, 1), (334, 1), (632, 1), (756, 1), (767, 1), (769, 1), (893, 1), (1041, 1), (1253, 1), (5012, 1), (8323, 1), (8923, 1), (13712, 1), (14184, 1), (15352, 1)], [(7, 1), (8, 1), (20, 4), (22, 1), (25, 3), (30, 1), (31, 2), (37, 1), (50, 2), (51, 1), (53, 2), (55, 1), (65, 1), (74, 1), (77, 1), (90, 2), (99, 1), (185, 2), (187, 1), (281, 1), (293, 1), (442, 1), (448, 1), (450, 2), (459, 1), (531, 1), (601, 1), (670, 1), (869, 1), (897, 1), (1196, 1), (1308, 1), (1820, 1), (2197, 1), (2716, 1), (3378, 1), (4304, 1), (5492, 1), (6367, 1), (6489, 1), (7170, 1), (7256, 1), (7595, 1), (7932, 1), (8544, 2), (9927, 1), (11713, 1), (12265, 1), (12378, 1), (14185, 1), (14633, 1), (15353, 1)], [(8, 1), (58, 1), (77, 1), (82, 1), (293, 1), (301, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (31, 2), (37, 1), (50, 1), (53, 2), (55, 2), (91, 1), (187, 1), (206, 1), (260, 1), (275, 1), (282, 1), (286, 1), (410, 1), (450, 1), (505, 1), (507, 1), (703, 1), (708, 1), (1053, 1), (1685, 1), (2235, 1), (3206, 1), (3929, 1), (6601, 1), (6853, 1), (7365, 1), (7626, 1), (11876, 1), (12378, 1), (12792, 1), (14633, 1), (15354, 1), (15355, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (58, 1), (77, 1), (90, 1), (161, 1), (185, 1), (201, 1), (233, 1), (415, 1), (756, 1), (833, 1), (1160, 1), (1253, 1), (1311, 1), (1348, 1), (2775, 1), (3220, 1), (6334, 1)], [(8, 1), (20, 1), (50, 1), (90, 1), (269, 1), (287, 1), (310, 1), (396, 1), (813, 1), (1166, 1), (1323, 1), (1685, 1), (5257, 1)], [(8, 1), (18, 1), (19, 1), (22, 2), (31, 3), (45, 1), (50, 1), (53, 4), (70, 1), (77, 2), (106, 1), (109, 1), (124, 1), (185, 1), (268, 2), (275, 1), (538, 1), (597, 1), (756, 2), (790, 1), (833, 1), (1081, 1), (1166, 1), (1253, 1), (1311, 1), (1642, 1), (2037, 1), (3121, 1), (4436, 1), (5072, 1), (5236, 1), (9519, 1), (10755, 1), (14221, 1), (14280, 1), (15356, 1)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 2), (95, 1), (111, 1), (124, 1), (214, 1), (228, 1), (301, 1), (328, 1), (337, 1), (412, 1), (505, 1), (833, 1), (1139, 1), (1458, 1), (1665, 1), (3726, 1), (6402, 1), (8991, 1), (9809, 1), (12378, 1), (15357, 1)], [(8, 1), (50, 1), (53, 1), (77, 1), (185, 1), (301, 1), (2197, 1), (4872, 1)], [(8, 1), (18, 2), (19, 1), (22, 2), (30, 1), (31, 1), (50, 1), (107, 1), (173, 1), (214, 1), (813, 1), (876, 1), (3296, 1), (5273, 1), (6844, 1), (15358, 1), (15359, 1), (15360, 1)], [(8, 1), (30, 1), (50, 1), (65, 2), (126, 1), (166, 1), (709, 1), (897, 1), (1070, 1), (1239, 1), (1487, 1), (2515, 1), (3670, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (26, 1), (30, 1), (50, 3), (53, 3), (55, 1), (58, 2), (90, 1), (108, 1), (170, 1), (172, 1), (225, 1), (292, 1), (293, 1), (310, 1), (359, 1), (399, 1), (414, 1), (420, 3), (711, 2), (756, 1), (1139, 1), (1166, 1), (1170, 1), (1458, 1), (1518, 1), (1540, 1), (1999, 1), (2564, 1), (3034, 1), (3234, 1), (5148, 1), (6209, 1), (7441, 1), (7839, 1), (8211, 1), (8544, 1), (11244, 1), (15361, 1), (15362, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (26, 1), (31, 1), (50, 5), (53, 6), (54, 4), (65, 2), (82, 1), (90, 3), (109, 1), (117, 1), (122, 1), (174, 1), (187, 1), (232, 1), (317, 1), (337, 1), (535, 1), (679, 1), (913, 1), (1041, 1), (1102, 1), (1159, 1), (1308, 1), (1311, 1), (1458, 1), (1481, 1), (1668, 1), (1877, 1), (2030, 1), (3020, 1), (3313, 1), (4619, 1), (6129, 1), (6915, 1), (7408, 1), (7892, 1), (8544, 1), (8814, 1), (8904, 1), (15159, 1), (15363, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (53, 2), (58, 2), (65, 1), (77, 2), (90, 1), (108, 1), (117, 2), (232, 2), (293, 1), (756, 1), (940, 1), (1253, 1), (3417, 1), (3756, 1), (3828, 1), (4400, 1), (7408, 1), (8814, 1), (8904, 1), (15364, 1)], [(8, 1), (25, 1), (31, 1), (32, 1), (37, 1), (45, 1), (50, 1), (185, 1), (331, 1), (459, 1), (2253, 1), (8008, 1), (8799, 1), (9115, 1), (12397, 1), (12521, 1), (15158, 1)], [(8, 1), (19, 1), (20, 4), (24, 1), (25, 1), (31, 1), (37, 2), (337, 1), (353, 1), (404, 1), (711, 1), (752, 1), (1159, 1), (1297, 1), (1348, 1), (1702, 1), (1820, 1), (2235, 1), (2253, 1), (3304, 1), (6633, 1), (10526, 1), (13097, 1), (13784, 1), (15027, 1)], [(247, 1), (1583, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (65, 1), (214, 2), (228, 2), (1580, 1), (5288, 1), (8904, 1), (15365, 1), (15366, 1)], [(1544, 1), (15367, 1)], [(8, 1), (24, 1), (25, 1), (50, 1), (1518, 1), (15368, 1), (15369, 1)], [(8, 1), (18, 1), (31, 1), (53, 1), (77, 1), (94, 1), (97, 1), (214, 1), (351, 1), (448, 1), (2577, 1), (8632, 1), (15370, 1), (15371, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (23, 5), (24, 1), (25, 4), (37, 1), (50, 3), (53, 3), (55, 2), (58, 2), (65, 2), (90, 1), (111, 1), (124, 2), (169, 1), (172, 1), (185, 1), (186, 1), (228, 1), (242, 2), (256, 1), (269, 1), (281, 1), (289, 1), (293, 3), (323, 1), (334, 2), (415, 1), (420, 1), (428, 1), (452, 1), (697, 1), (706, 1), (1041, 1), (1102, 1), (1149, 1), (1196, 1), (1580, 1), (1613, 1), (1717, 1), (1917, 1), (2096, 1), (2545, 1), (2680, 1), (4531, 1), (6913, 1), (6941, 1), (7446, 1), (7626, 1), (7751, 1), (9596, 1), (13819, 1), (14281, 1), (15288, 1), (15372, 1), (15373, 1), (15374, 1), (15375, 1), (15376, 1), (15377, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (24, 1), (25, 1), (50, 2), (53, 3), (54, 2), (55, 1), (58, 1), (71, 1), (82, 1), (84, 2), (90, 1), (95, 1), (161, 1), (233, 1), (461, 1), (763, 2), (1973, 1), (3413, 1), (3994, 1), (4353, 1), (4519, 1), (4670, 1), (5252, 1), (7097, 1), (8263, 1), (8793, 1), (10582, 1), (15378, 1)], [(8, 1), (19, 2), (20, 2), (25, 1), (50, 1), (53, 2), (65, 1), (82, 1), (84, 1), (117, 1), (232, 1), (412, 1), (419, 1), (420, 1), (459, 1), (600, 1), (1037, 1), (1308, 1), (3468, 1), (3536, 1), (6217, 1), (7459, 1), (7551, 1), (9497, 1), (15172, 1), (15264, 1), (15379, 1)], [(8, 1), (18, 2), (19, 1), (20, 8), (22, 1), (25, 4), (31, 1), (50, 4), (53, 8), (54, 2), (65, 1), (210, 1), (215, 1), (269, 1), (288, 1), (365, 1), (381, 1), (414, 1), (447, 1), (452, 1), (708, 1), (791, 1), (895, 1), (1159, 1), (1471, 1), (1536, 1), (1542, 1), (1779, 1), (1884, 1), (2039, 1), (2241, 1), (5309, 1), (5969, 1), (6284, 1), (6442, 1), (6749, 1), (7124, 1), (7702, 1), (8263, 2), (12988, 1), (13218, 2), (15380, 1), (15381, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (50, 1), (53, 3), (54, 2), (122, 1), (185, 1), (193, 1), (210, 1), (215, 1), (361, 1), (452, 1), (454, 1), (531, 1), (560, 1), (763, 1), (775, 1), (2730, 1), (3903, 1), (4296, 1), (6092, 1), (9716, 1), (13379, 1), (13613, 1), (15382, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 1), (31, 2), (32, 1), (37, 1), (50, 3), (53, 8), (71, 1), (90, 1), (95, 1), (97, 1), (108, 2), (117, 1), (185, 1), (212, 1), (228, 1), (232, 1), (268, 1), (269, 1), (328, 1), (331, 1), (381, 1), (414, 1), (442, 1), (498, 1), (587, 1), (597, 1), (645, 1), (791, 1), (1647, 1), (1884, 1), (2296, 1), (3387, 1), (3740, 1), (4690, 1), (4701, 1), (4703, 1), (5203, 1), (5435, 1), (5932, 1), (6383, 1), (8263, 1), (11805, 1), (13196, 1), (15383, 1), (15384, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (53, 2), (54, 1), (922, 1), (2354, 1), (3013, 1), (4442, 1), (4690, 1), (5435, 1), (10935, 1), (15385, 1), (15386, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (54, 1), (58, 1), (77, 1), (90, 1), (109, 1), (185, 2), (344, 1), (392, 1), (407, 1), (596, 1), (675, 1), (752, 1), (753, 1), (852, 1), (1884, 1), (4690, 1), (5250, 1), (15387, 1)], [(7, 1), (8, 2), (18, 1), (19, 3), (20, 2), (21, 2), (22, 2), (23, 1), (25, 4), (31, 1), (50, 2), (51, 1), (53, 2), (58, 1), (71, 1), (77, 1), (90, 1), (95, 1), (97, 1), (108, 2), (109, 1), (172, 1), (187, 1), (214, 1), (217, 1), (228, 1), (329, 1), (362, 1), (415, 1), (448, 1), (800, 1), (896, 1), (1129, 1), (1464, 1), (1884, 1), (2240, 1), (2785, 1), (3414, 1), (3756, 1), (4359, 1), (5227, 1), (5913, 1), (8263, 1), (8857, 1), (10074, 1), (13218, 1), (15388, 1), (15389, 1), (15390, 1), (15391, 1), (15392, 1)], [(8, 1), (18, 3), (20, 3), (22, 2), (25, 1), (31, 1), (50, 3), (53, 3), (64, 1), (90, 1), (95, 1), (98, 1), (215, 2), (252, 1), (362, 1), (365, 1), (448, 1), (556, 1), (602, 1), (604, 1), (1163, 1), (1392, 1), (1875, 1), (3409, 1), (4537, 1), (4652, 1), (5788, 1), (7497, 1), (8143, 1), (15393, 1), (15394, 1)], [(8, 2), (18, 1), (20, 2), (50, 4), (53, 5), (55, 1), (58, 1), (109, 1), (256, 1), (285, 1), (289, 1), (334, 1), (338, 1), (347, 1), (381, 1), (405, 1), (1070, 1), (1903, 1), (1918, 1), (2230, 1), (4199, 1), (5227, 1), (5745, 1), (7442, 1), (10074, 1), (15382, 1), (15395, 1), (15396, 1)], [(8, 2), (18, 5), (19, 2), (20, 4), (29, 1), (31, 1), (53, 1), (91, 1), (95, 1), (172, 1), (186, 1), (256, 1), (645, 1), (810, 1), (830, 1), (1308, 1), (2419, 1), (3127, 1), (5227, 1), (5547, 1), (6652, 1), (8263, 1), (10074, 1), (14638, 1)], [(7, 2), (8, 3), (18, 2), (19, 2), (20, 7), (22, 4), (25, 5), (31, 2), (37, 1), (50, 7), (51, 1), (53, 14), (54, 1), (55, 1), (58, 1), (65, 3), (72, 1), (76, 1), (77, 2), (82, 2), (85, 1), (90, 3), (94, 1), (95, 2), (107, 1), (108, 1), (111, 1), (117, 2), (172, 2), (181, 1), (185, 3), (186, 1), (190, 1), (195, 1), (210, 1), (215, 1), (217, 1), (232, 1), (253, 1), (268, 1), (293, 1), (334, 2), (362, 1), (365, 2), (405, 1), (414, 3), (415, 1), (420, 1), (434, 1), (446, 1), (496, 1), (516, 1), (601, 2), (620, 1), (829, 1), (833, 1), (834, 1), (872, 1), (1070, 1), (1080, 1), (1102, 2), (1308, 1), (1377, 1), (1594, 1), (1824, 1), (1867, 1), (2049, 3), (2648, 2), (2744, 1), (3041, 1), (3413, 1), (3439, 1), (3804, 1), (5204, 1), (5227, 2), (5784, 1), (5817, 1), (6242, 1), (7442, 1), (8008, 1), (8263, 1), (8852, 1), (10058, 1), (10074, 2), (11923, 1), (12652, 1), (12898, 1), (13262, 1), (13358, 1), (15397, 1), (15398, 1), (15399, 1), (15400, 1), (15401, 1), (15402, 1), (15403, 1)], [(7, 1), (8, 1), (20, 7), (22, 1), (25, 4), (30, 2), (45, 2), (50, 4), (53, 5), (74, 1), (81, 1), (90, 1), (109, 1), (111, 1), (117, 1), (185, 1), (190, 1), (232, 1), (244, 1), (307, 2), (323, 1), (359, 1), (363, 1), (446, 1), (516, 1), (706, 1), (708, 1), (725, 1), (827, 1), (1308, 1), (1354, 1), (1415, 1), (1596, 1), (1884, 1), (1939, 1), (2479, 1), (2666, 1), (2747, 1), (2985, 1), (3409, 1), (3479, 1), (3509, 1), (4058, 1), (4138, 1), (5169, 1), (6042, 1), (6684, 1), (15404, 1), (15405, 1), (15406, 1), (15407, 1)], [(7, 1), (8, 2), (18, 1), (20, 5), (22, 1), (25, 1), (31, 1), (50, 4), (53, 2), (71, 1), (77, 1), (84, 1), (229, 1), (260, 1), (269, 1), (407, 1), (419, 1), (507, 2), (743, 1), (775, 1), (897, 1), (902, 1), (1361, 1), (1507, 1), (2178, 1), (2593, 1), (3413, 1), (4789, 1), (5227, 1), (9571, 1), (10074, 1), (12098, 1), (15408, 1), (15409, 1)], [(8, 2), (10, 1), (18, 2), (19, 3), (20, 4), (23, 1), (25, 1), (31, 1), (40, 1), (50, 2), (53, 1), (55, 2), (82, 1), (84, 1), (90, 1), (91, 1), (95, 1), (117, 1), (172, 1), (214, 1), (220, 1), (232, 1), (260, 1), (273, 1), (283, 1), (289, 1), (331, 1), (334, 1), (347, 1), (419, 1), (450, 1), (498, 2), (516, 1), (605, 1), (711, 1), (782, 1), (812, 1), (833, 1), (909, 1), (1296, 1), (1685, 1), (1921, 1), (2916, 1), (2949, 1), (3056, 1), (3837, 1), (4299, 1), (5227, 1), (5724, 1), (5874, 1), (6981, 1), (7023, 1), (8587, 1), (10074, 1), (15410, 1), (15411, 1), (15412, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 5), (21, 1), (22, 1), (23, 1), (25, 2), (30, 1), (50, 2), (53, 1), (54, 1), (71, 1), (82, 1), (90, 4), (95, 1), (108, 1), (111, 1), (174, 1), (185, 1), (186, 1), (310, 1), (392, 1), (399, 1), (434, 1), (486, 1), (490, 1), (601, 1), (976, 1), (1102, 1), (1702, 1), (2178, 1), (2278, 1), (3330, 1), (3371, 1), (3413, 1), (3929, 1), (4062, 1), (4344, 1), (5169, 1), (6436, 1), (9636, 1), (9787, 1), (10929, 1), (10967, 1), (11425, 1), (11463, 1), (15413, 1), (15414, 1), (15415, 1), (15416, 1), (15417, 1), (15418, 1)], [(8, 1), (20, 3), (40, 1), (45, 1), (53, 1), (74, 1), (90, 1), (109, 1), (122, 1), (163, 1), (173, 1), (1536, 1), (1822, 1), (2785, 1), (3125, 1), (3171, 1), (4132, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (30, 1), (50, 1), (53, 2), (71, 1), (82, 1), (95, 2), (161, 1), (173, 2), (193, 1), (504, 1), (774, 1), (792, 1), (813, 1), (830, 1), (2914, 1), (3413, 1), (3828, 1), (6439, 1), (14714, 1)], [(8, 1), (23, 1), (30, 1), (50, 1), (84, 1), (108, 1), (269, 1), (12969, 1), (15419, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (22, 2), (25, 3), (50, 2), (53, 4), (71, 1), (77, 1), (95, 2), (109, 1), (124, 1), (185, 1), (212, 1), (214, 1), (301, 1), (344, 1), (452, 1), (454, 1), (711, 1), (1702, 1), (1884, 2), (3052, 1), (3294, 1), (3417, 1), (4992, 1), (8555, 1), (8620, 1), (8857, 1), (9636, 1), (13182, 1), (15420, 1), (15421, 1)], [(20, 1), (23, 1), (53, 2), (82, 1), (509, 1), (869, 1), (897, 1), (1714, 1), (2149, 1), (7487, 1), (12969, 1)], [(8, 1), (20, 3), (25, 1), (50, 1), (53, 1), (70, 1), (84, 1), (130, 1), (902, 1), (1685, 1), (2985, 1), (3043, 1), (7626, 1), (14852, 1), (15288, 1), (15422, 1), (15423, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (31, 1), (50, 3), (51, 1), (53, 2), (71, 1), (77, 1), (84, 1), (108, 1), (110, 1), (169, 1), (320, 1), (334, 1), (419, 1), (516, 1), (527, 1), (706, 1), (811, 1), (904, 1), (1130, 1), (1485, 1), (1702, 1), (2545, 1), (2744, 1), (4652, 1), (6019, 1), (6170, 1), (15374, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 1), (25, 1), (31, 1), (32, 1), (40, 1), (45, 1), (50, 3), (53, 7), (71, 1), (77, 1), (84, 1), (95, 1), (97, 1), (108, 2), (109, 1), (185, 1), (225, 1), (269, 1), (323, 1), (345, 1), (434, 2), (658, 1), (753, 1), (763, 1), (915, 1), (1136, 1), (1248, 1), (1377, 1), (1760, 1), (1884, 1), (1902, 1), (2051, 1), (2536, 1), (4228, 1), (5148, 2), (5816, 1), (7956, 1), (15424, 1), (15425, 1), (15426, 3), (15427, 1), (15428, 1), (15429, 1), (15430, 1)], [(8, 1), (18, 1), (19, 7), (20, 11), (22, 2), (25, 2), (30, 1), (31, 3), (50, 4), (53, 11), (56, 1), (95, 1), (97, 1), (111, 2), (172, 2), (173, 1), (181, 1), (193, 1), (203, 1), (206, 1), (217, 1), (246, 1), (256, 1), (269, 1), (285, 1), (293, 1), (307, 1), (310, 1), (332, 1), (337, 1), (459, 1), (604, 1), (608, 1), (777, 1), (878, 1), (1041, 1), (1470, 1), (1862, 1), (1901, 1), (2235, 1), (2266, 1), (2795, 1), (2919, 1), (3013, 1), (3352, 1), (3363, 1), (3422, 1), (4299, 1), (4641, 1), (4652, 1), (5290, 1), (6044, 1), (6242, 1), (6344, 1), (6424, 1), (6464, 1), (8704, 1), (9224, 1), (9300, 1), (9515, 1), (10433, 1), (10521, 1), (10686, 1), (13849, 1), (14609, 1), (15425, 1), (15426, 3), (15431, 2), (15432, 1), (15433, 1), (15434, 1), (15435, 1), (15436, 1)], [(18, 1), (20, 1), (82, 1), (185, 1), (897, 1), (1714, 1), (3413, 1), (5768, 1), (15426, 1)], [(18, 3), (72, 1), (77, 1), (215, 1), (260, 1), (323, 1), (446, 1), (645, 1), (1714, 1), (11148, 1), (15437, 1)], [(8, 1), (20, 4), (25, 1), (247, 1), (344, 1), (5227, 1), (8263, 1), (9636, 1), (10074, 1), (15426, 1)], [(18, 1), (65, 1), (99, 1), (108, 1), (117, 1), (130, 1), (232, 1), (247, 1), (328, 1), (6923, 1)], [(53, 1), (90, 1), (117, 1), (232, 1), (256, 1), (516, 1), (581, 1), (596, 1), (706, 1), (708, 1), (1714, 1), (3413, 1), (12822, 1)], [(1544, 1), (15438, 1)], [(8, 1), (344, 1), (15439, 1), (15440, 1)], [(8, 1), (19, 1), (25, 1), (31, 1), (50, 1), (53, 3), (54, 1), (95, 1), (344, 1), (353, 1), (1884, 1), (4627, 1), (8695, 1), (11438, 1), (11577, 1)], [(8, 1), (25, 1), (50, 1), (53, 1), (95, 1), (185, 1), (344, 1), (346, 1), (448, 1), (1884, 1), (1964, 1), (5828, 1), (11577, 1), (15441, 1)], [(8, 1), (20, 5), (22, 1), (25, 5), (37, 1), (50, 2), (53, 5), (82, 1), (85, 1), (90, 1), (95, 1), (108, 1), (109, 1), (269, 1), (301, 1), (323, 1), (328, 1), (448, 1), (450, 2), (459, 1), (792, 1), (834, 2), (885, 1), (897, 1), (1160, 1), (1824, 1), (1869, 1), (1884, 1), (2744, 1), (2965, 1), (4613, 1), (5347, 1), (6643, 1), (7536, 1), (8304, 2), (9636, 1), (10575, 1), (10935, 1), (11689, 1), (12514, 1), (13223, 1), (15442, 1), (15443, 1)], [(8, 1), (10, 1), (18, 2), (19, 1), (20, 4), (21, 1), (22, 1), (25, 1), (30, 1), (31, 1), (36, 1), (39, 1), (45, 2), (50, 4), (51, 2), (53, 5), (54, 1), (55, 3), (64, 1), (65, 2), (77, 1), (90, 1), (94, 1), (95, 1), (97, 2), (108, 1), (117, 2), (126, 1), (130, 1), (172, 1), (185, 2), (210, 1), (232, 2), (269, 2), (285, 1), (293, 1), (336, 1), (344, 1), (347, 1), (349, 1), (418, 1), (452, 1), (676, 1), (706, 1), (756, 1), (782, 1), (834, 1), (877, 1), (902, 1), (940, 1), (1166, 1), (1308, 1), (1311, 1), (1792, 1), (1884, 1), (2033, 1), (2197, 1), (2418, 1), (2571, 1), (3091, 1), (3121, 1), (3330, 1), (3413, 1), (3495, 1), (4992, 1), (5462, 1), (5463, 1), (6154, 1), (7263, 1), (8948, 1), (9238, 1), (12119, 1), (13230, 1), (13262, 1), (13755, 1), (15444, 1), (15445, 1)], [(8, 1), (19, 1), (20, 2), (77, 1), (117, 1), (185, 1), (232, 1), (301, 1), (2084, 1), (2855, 1), (13619, 1), (15446, 1), (15447, 1)], [(8, 1), (20, 3), (31, 2), (45, 1), (50, 1), (53, 2), (77, 1), (82, 1), (90, 1), (95, 1), (117, 1), (122, 1), (215, 2), (232, 1), (256, 1), (344, 1), (382, 1), (419, 1), (448, 1), (769, 1), (1596, 1), (5290, 1), (5528, 1), (6625, 1), (7195, 1), (9240, 1), (13619, 1), (15010, 1)], [(8, 1), (31, 1), (53, 1), (185, 1), (331, 1), (675, 1), (1966, 1), (2178, 1), (7906, 1), (13619, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (37, 1), (50, 1), (53, 2), (65, 1), (117, 1), (232, 1), (285, 1), (286, 1), (382, 1), (756, 1), (1166, 1), (2625, 1), (2850, 1), (5807, 1), (6074, 1), (7258, 1), (10191, 1), (14415, 1), (15448, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (31, 1), (53, 1), (77, 1), (172, 1), (256, 1), (278, 1), (344, 1), (414, 1), (601, 1), (756, 1), (1166, 1), (1377, 1), (1797, 1), (2077, 1), (3132, 1), (11968, 1), (15449, 1), (15450, 1), (15451, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (25, 1), (26, 1), (31, 2), (45, 2), (50, 2), (53, 2), (54, 1), (65, 1), (81, 1), (90, 1), (95, 1), (97, 1), (108, 1), (117, 1), (173, 1), (185, 1), (232, 1), (509, 1), (1196, 1), (1901, 1), (2197, 1), (2348, 1), (2853, 1), (4763, 1), (4875, 1), (5462, 1), (5463, 1), (10955, 1), (11016, 1), (12630, 1), (15452, 1), (15453, 1), (15454, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (21, 1), (25, 1), (26, 1), (31, 2), (50, 1), (53, 4), (90, 1), (91, 1), (95, 1), (172, 1), (185, 1), (203, 1), (215, 1), (260, 1), (301, 1), (344, 1), (428, 2), (450, 1), (705, 1), (771, 1), (893, 1), (1877, 1), (2406, 1), (4878, 1), (4989, 1), (5054, 1), (6160, 1), (6842, 1), (7546, 1), (9439, 1), (9708, 1), (11076, 1), (11706, 1), (15399, 1), (15455, 1), (15456, 1), (15457, 1), (15458, 1), (15459, 1)], [(7, 2), (18, 2), (19, 1), (20, 6), (22, 1), (23, 1), (24, 1), (25, 1), (45, 1), (53, 4), (54, 1), (55, 1), (58, 1), (64, 4), (65, 1), (66, 1), (72, 1), (90, 1), (95, 1), (108, 1), (109, 1), (173, 1), (214, 1), (215, 1), (217, 1), (225, 1), (285, 1), (344, 1), (415, 1), (420, 1), (448, 2), (488, 2), (706, 1), (707, 1), (709, 1), (756, 1), (976, 1), (1163, 3), (1733, 1), (1903, 1), (2239, 1), (2265, 1), (3652, 1), (4251, 1), (4690, 1), (5049, 1), (5081, 1), (8866, 1), (9394, 1), (11558, 1), (14089, 1), (15460, 1), (15461, 1), (15462, 1), (15463, 1), (15464, 1), (15465, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (21, 2), (25, 1), (31, 1), (50, 2), (53, 3), (54, 1), (65, 1), (90, 1), (95, 1), (97, 1), (109, 1), (164, 1), (172, 2), (217, 1), (293, 1), (323, 1), (328, 1), (344, 1), (505, 1), (509, 1), (531, 1), (599, 1), (754, 1), (1100, 1), (1600, 1), (1836, 1), (2208, 1), (2374, 1), (3043, 1), (4059, 1), (4598, 1), (5385, 1), (5758, 1), (11559, 1), (15466, 1), (15467, 1), (15468, 1), (15469, 1)], [(8, 1), (20, 2), (37, 1), (65, 1), (675, 1), (1122, 1), (2509, 1), (4299, 1), (4470, 1), (5462, 1), (5463, 1)], [(8, 1), (45, 1), (50, 1), (108, 1), (173, 1), (301, 1), (347, 1), (1702, 1), (2197, 1), (2265, 1), (2853, 1), (10955, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (23, 1), (25, 1), (31, 1), (50, 2), (53, 5), (54, 3), (95, 1), (109, 1), (117, 2), (122, 1), (124, 1), (173, 1), (185, 1), (186, 1), (289, 1), (337, 1), (344, 1), (388, 1), (392, 1), (395, 1), (412, 3), (414, 1), (452, 1), (486, 1), (504, 1), (791, 1), (833, 1), (970, 1), (1248, 3), (1287, 1), (1647, 1), (3289, 1), (3681, 1), (4041, 2), (4575, 1), (5078, 1), (5112, 1), (6060, 1), (15470, 1), (15471, 2)], [(77, 1), (90, 1), (1347, 1), (1714, 1)], [(19, 1), (50, 1), (53, 2), (54, 1), (90, 1), (95, 1), (108, 1), (268, 1), (301, 1), (328, 1), (388, 1), (405, 1), (415, 1), (509, 1), (697, 1), (1245, 1), (1485, 1), (1714, 1), (5078, 1)], [(8, 1), (1778, 1)], [(7, 1), (8, 1), (30, 1), (36, 1), (50, 2), (53, 2), (172, 1), (601, 1), (697, 1), (1122, 1), (2206, 1), (3642, 1), (4442, 1), (9954, 1)], [(8, 1), (18, 1), (19, 3), (20, 5), (25, 2), (31, 2), (37, 1), (50, 5), (53, 7), (82, 2), (92, 1), (95, 1), (108, 1), (161, 1), (186, 1), (278, 1), (285, 1), (301, 1), (395, 1), (406, 1), (412, 1), (661, 1), (707, 1), (744, 1), (827, 1), (886, 2), (1043, 2), (1248, 1), (2250, 1), (2265, 1), (2985, 1), (3971, 1), (4041, 1), (4556, 1), (4652, 1), (5078, 1), (8382, 1), (11478, 1), (12325, 1), (12326, 1), (12487, 1), (15470, 1), (15472, 1), (15473, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (50, 4), (53, 3), (90, 1), (109, 1), (117, 1), (185, 1), (193, 1), (232, 1), (285, 1), (293, 2), (334, 1), (344, 1), (361, 1), (620, 1), (761, 1), (885, 1), (1041, 1), (1903, 1), (1973, 1), (2151, 1), (2206, 1), (3160, 1), (3642, 1), (4435, 1), (7664, 1), (9954, 1), (11878, 1), (15474, 1), (15475, 1), (15476, 1), (15477, 1), (15478, 1), (15479, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (25, 1), (30, 1), (31, 1), (37, 1), (45, 1), (50, 2), (51, 1), (53, 2), (65, 1), (90, 1), (96, 1), (109, 1), (124, 1), (173, 2), (186, 1), (206, 1), (256, 1), (301, 1), (347, 2), (365, 1), (387, 1), (884, 1), (1308, 1), (1702, 1), (2197, 1), (2225, 1), (2392, 1), (3140, 1), (3426, 1), (5409, 1), (5462, 1), (5463, 1), (6671, 2), (7874, 1), (8399, 1), (14261, 1), (15480, 1)], [(8, 1), (20, 3), (23, 1), (25, 1), (45, 1), (53, 1), (58, 1), (258, 1), (273, 1), (305, 1), (1308, 1), (3483, 1), (4968, 1), (6223, 1), (6671, 1), (8025, 1), (8399, 1), (10025, 1), (15481, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 1), (50, 3), (53, 2), (54, 1), (117, 1), (185, 1), (215, 1), (232, 1), (286, 1), (344, 1), (452, 1), (1764, 1), (1909, 1), (2151, 1), (2206, 1), (3642, 1), (5078, 1), (6938, 1), (8482, 1), (9954, 1), (12953, 1), (13161, 1), (13552, 1), (13555, 1), (15482, 1), (15483, 1)], [(8, 1), (54, 1), (58, 1), (293, 1), (331, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 2), (185, 1), (344, 1), (361, 1), (1884, 1), (1903, 1), (2048, 1), (7660, 1), (11577, 1), (13316, 1), (15484, 1), (15485, 1)], [(8, 1), (18, 2), (20, 3), (31, 3), (50, 2), (51, 1), (54, 1), (90, 1), (97, 1), (117, 1), (161, 1), (232, 1), (331, 1), (344, 1), (448, 1), (531, 1), (537, 1), (654, 1), (1146, 1), (1157, 1), (1235, 1), (1248, 1), (1973, 1), (2443, 1), (3536, 1), (3970, 1), (4347, 1), (5709, 1), (7637, 1), (10006, 1), (11679, 1), (13258, 1), (15486, 2)], [(1544, 1), (15487, 1)], [(8, 1), (15488, 1)], [(8, 1), (20, 2), (22, 2), (25, 2), (50, 1), (53, 3), (91, 1), (108, 1), (214, 1), (281, 1), (289, 1), (373, 1), (448, 1), (450, 1), (531, 1), (553, 1), (711, 1), (742, 1), (885, 1), (922, 1), (2196, 1), (2795, 1), (3902, 1), (4152, 1), (4801, 1), (5079, 1), (8081, 1), (9058, 1), (11740, 1), (11781, 1), (15489, 1), (15490, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 2), (25, 2), (31, 1), (50, 1), (53, 2), (58, 2), (71, 2), (77, 3), (90, 4), (214, 1), (215, 1), (239, 1), (268, 2), (373, 1), (387, 1), (537, 2), (581, 1), (680, 1), (744, 1), (830, 1), (875, 1), (885, 1), (1449, 1), (1685, 1), (1733, 1), (2049, 1), (3043, 1), (3615, 1), (6615, 1), (7237, 1), (7519, 1), (10575, 1), (12479, 1), (14299, 1), (14862, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 2), (31, 3), (45, 1), (50, 1), (53, 4), (58, 1), (82, 1), (90, 1), (109, 1), (117, 1), (124, 1), (174, 1), (215, 1), (232, 1), (269, 1), (290, 1), (337, 1), (373, 1), (632, 1), (709, 1), (777, 1), (833, 1), (1041, 1), (1102, 1), (1139, 1), (1487, 1), (2239, 1), (2354, 1), (2581, 1), (2691, 1), (2795, 1), (2861, 1), (2926, 1), (3304, 1), (3451, 1), (3614, 1), (3797, 1), (4686, 1), (4983, 1), (5745, 1), (6097, 1), (7463, 1), (7792, 1), (8132, 1), (9387, 1), (9439, 1), (13066, 1), (15159, 1), (15491, 1), (15492, 1)], [(8, 1), (19, 2), (31, 1), (36, 1), (71, 1), (448, 1), (903, 1), (1597, 1), (2868, 1), (4860, 1), (9289, 1)], [(7, 1), (8, 1), (53, 1), (58, 1), (792, 1), (2610, 1), (3043, 1), (6982, 1), (9978, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (50, 1), (53, 1), (55, 1), (91, 1), (109, 1), (117, 1), (187, 1), (215, 2), (232, 1), (256, 1), (293, 1), (310, 1), (459, 1), (709, 1), (711, 1), (1627, 1), (2228, 1), (2406, 1), (2789, 1), (3024, 1), (4718, 1), (4827, 1), (5082, 1), (6261, 1), (6734, 1), (10655, 1), (12901, 1), (15493, 1), (15494, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (54, 1), (117, 1), (232, 1), (913, 1), (1384, 1), (3828, 1), (4547, 1), (7295, 1)], [(8, 1), (20, 4), (22, 1), (31, 1), (37, 1), (45, 1), (53, 1), (55, 1), (95, 1), (193, 2), (256, 1), (269, 1), (334, 1), (639, 1), (654, 1), (1702, 1), (2344, 1), (2456, 1), (2734, 1), (2828, 1), (3469, 1), (3549, 1), (4827, 1), (8103, 1), (8518, 1), (8791, 1), (10686, 1), (15495, 1), (15496, 1)], [(8, 1), (53, 1), (58, 1), (111, 1), (203, 1), (281, 1), (2153, 1), (2734, 1), (3845, 1), (4138, 1), (4793, 1), (6816, 1), (10670, 1), (15497, 1), (15498, 1)], [(8, 1), (19, 2), (20, 1), (30, 1), (53, 1), (71, 1), (95, 1), (111, 1), (122, 1), (1379, 1), (1723, 1), (2266, 1), (2383, 1), (9575, 1), (15499, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (45, 1), (53, 1), (54, 1), (173, 1), (186, 1), (293, 1), (301, 1), (373, 1), (1100, 1), (1376, 1), (1475, 1), (4941, 1), (8017, 1), (13115, 1)], [(596, 1), (897, 1), (1714, 1), (5169, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (37, 1), (50, 1), (53, 4), (55, 1), (72, 1), (75, 1), (77, 1), (90, 1), (97, 1), (293, 1), (740, 1), (1379, 1), (2241, 1), (3056, 1), (3319, 1), (3413, 1), (3756, 1), (5816, 1), (7554, 1), (9053, 1), (11098, 1), (14917, 1), (15500, 1), (15501, 1), (15502, 1), (15503, 1), (15504, 1)], [(8, 1), (20, 2), (31, 1), (37, 1), (58, 1), (111, 1), (369, 2), (516, 1), (527, 1), (1041, 1), (2340, 1), (10758, 1), (15505, 1), (15506, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (53, 2), (55, 1), (77, 3), (95, 1), (97, 1), (109, 1), (122, 1), (174, 1), (373, 1), (531, 1), (1041, 1), (1130, 1), (1245, 1), (1308, 1), (1379, 1), (1487, 1), (1664, 1), (2553, 1), (2666, 1), (2869, 1), (3025, 1), (3480, 1), (4514, 1), (6344, 1), (8475, 1), (9851, 1), (12063, 1), (15507, 1), (15508, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (22, 1), (25, 2), (31, 1), (50, 2), (53, 3), (77, 2), (90, 1), (111, 1), (289, 1), (406, 1), (441, 1), (448, 1), (704, 1), (714, 1), (833, 1), (924, 1), (1760, 1), (1817, 1), (2259, 1), (3700, 1), (3799, 1), (3941, 1), (4357, 1), (4574, 1), (6192, 1), (8940, 1), (15509, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 2), (50, 1), (53, 1), (55, 1), (58, 1), (71, 1), (72, 1), (75, 1), (77, 1), (97, 1), (122, 1), (337, 1), (406, 1), (581, 1), (626, 1), (1540, 1), (1937, 1), (3121, 1), (3295, 1), (7299, 1), (7718, 1), (11912, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (25, 2), (31, 2), (50, 2), (53, 6), (55, 2), (58, 2), (71, 1), (77, 3), (90, 1), (97, 1), (215, 1), (226, 1), (301, 1), (307, 1), (406, 1), (414, 1), (420, 1), (697, 1), (764, 1), (796, 1), (830, 1), (852, 1), (908, 1), (919, 1), (922, 1), (1040, 1), (1102, 1), (1160, 1), (1379, 2), (1607, 1), (1702, 1), (1764, 1), (1824, 1), (2259, 2), (2772, 1), (2986, 1), (3181, 2), (3807, 1), (4879, 1), (5072, 1), (6036, 1), (7555, 1), (15510, 1), (15511, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (95, 1), (99, 1), (161, 1), (203, 1), (209, 1), (307, 1), (354, 1), (387, 1), (428, 1), (763, 1), (1615, 1), (1909, 1), (3036, 1), (4299, 1), (4941, 1), (15502, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 2), (32, 1), (45, 1), (53, 1), (54, 1), (109, 1), (193, 1), (323, 1), (645, 1), (1670, 1), (1847, 1), (6310, 1), (7295, 1), (7460, 1), (8877, 1), (10870, 1), (15502, 1), (15512, 1), (15513, 1), (15514, 1), (15515, 1)], [(8, 1), (20, 1), (22, 2), (30, 1), (31, 2), (50, 1), (53, 3), (77, 1), (95, 1), (173, 1), (193, 1), (373, 1), (427, 1), (458, 1), (704, 1), (898, 1), (1328, 1), (1501, 1), (1670, 1), (2383, 1), (2469, 1), (2774, 1), (7208, 1), (14305, 1), (15516, 1)], [(8, 1), (19, 2), (20, 4), (31, 2), (34, 1), (45, 1), (50, 1), (53, 4), (58, 1), (71, 1), (75, 1), (78, 1), (111, 1), (174, 1), (186, 1), (215, 1), (224, 1), (269, 1), (293, 1), (406, 1), (504, 1), (568, 1), (1041, 2), (1081, 1), (1379, 1), (1720, 1), (1881, 1), (2127, 1), (2543, 1), (2656, 1), (2862, 1), (4376, 1), (4825, 1), (5356, 1), (7295, 1), (9792, 1), (11912, 1), (14642, 1), (14875, 1), (15517, 1), (15518, 1)], [(8, 1), (20, 5), (22, 1), (30, 1), (31, 2), (45, 3), (53, 6), (55, 1), (58, 2), (65, 1), (75, 1), (95, 1), (117, 1), (173, 2), (193, 1), (232, 1), (263, 1), (281, 1), (307, 1), (420, 1), (704, 1), (1010, 1), (1022, 1), (1057, 1), (1179, 1), (1287, 1), (1312, 1), (1379, 1), (2157, 1), (2290, 1), (2541, 1), (2627, 1), (2774, 1), (2862, 1), (3227, 1), (4869, 1), (6602, 1), (8638, 1), (9776, 1), (12071, 1), (13757, 1), (14867, 1), (15519, 1)], [(8, 1), (18, 2), (20, 1), (36, 1), (45, 1), (50, 1), (99, 1), (174, 1), (414, 1), (2983, 1), (3799, 1), (6505, 1), (10578, 1), (12061, 1), (15520, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (31, 2), (50, 1), (53, 4), (55, 1), (95, 1), (505, 1), (988, 1), (1219, 1), (1245, 1), (1416, 1), (2161, 1), (2455, 1), (4143, 1), (5562, 1), (6771, 1), (9536, 1), (14226, 1), (14815, 1), (15178, 1), (15244, 1), (15521, 1)], [(8, 1), (20, 1), (32, 1), (50, 1), (173, 1), (676, 1), (680, 1), (1021, 1), (2332, 1), (7933, 1), (15522, 1)], [(30, 1), (50, 1), (53, 1), (64, 1), (85, 1), (658, 1), (1178, 1), (11904, 1), (15523, 1)], [(8, 1), (2925, 1), (7295, 1)], [(22, 1), (37, 1), (117, 1), (203, 1), (232, 1), (247, 1), (284, 1), (742, 1), (1563, 1), (4392, 1), (9145, 1), (9146, 1), (10015, 1), (14628, 1), (15524, 1)], [(20, 3), (32, 1), (51, 3), (58, 1), (111, 2), (247, 1), (299, 1), (459, 1), (4370, 1), (11093, 1), (15525, 1), (15526, 1), (15527, 1)], [(18, 1), (19, 1), (20, 4), (23, 1), (25, 1), (53, 1), (58, 1), (117, 2), (172, 1), (247, 1), (295, 1), (419, 1), (1075, 2), (1122, 1), (1867, 1), (2157, 1), (2428, 1), (4757, 1), (5679, 1), (8103, 1), (15528, 1)], [(20, 4), (25, 1), (31, 1), (45, 1), (50, 1), (53, 2), (65, 2), (66, 1), (90, 1), (109, 1), (117, 1), (313, 1), (328, 1), (419, 1), (672, 1), (1075, 1), (2021, 2), (2119, 1), (3064, 1), (3476, 1), (3760, 1), (3924, 1), (5127, 1), (5627, 1), (5986, 1), (8814, 1), (13113, 1), (15529, 1), (15530, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (31, 1), (53, 2), (77, 1), (516, 1), (560, 1), (744, 1), (811, 1), (1041, 1), (1458, 1), (2028, 1), (2539, 1), (2608, 1), (2978, 1), (4755, 1), (6777, 1), (8940, 1), (9372, 1), (15531, 1), (15532, 1), (15533, 1)], [(8, 1), (20, 3), (22, 1), (24, 1), (25, 2), (45, 2), (53, 3), (65, 1), (77, 1), (95, 1), (378, 1), (381, 1), (428, 1), (713, 1), (1239, 1), (1354, 1), (2070, 1), (3146, 1), (5161, 1), (5914, 1), (6423, 1), (9351, 1), (13126, 1), (13825, 1), (13834, 1), (15534, 1)], [(1544, 1), (15535, 1)], [(8, 1), (24, 1), (15536, 1)], [(0, 1), (7, 1), (8, 5), (10, 1), (18, 3), (19, 1), (20, 11), (21, 4), (22, 1), (25, 7), (37, 3), (50, 6), (53, 6), (55, 1), (58, 1), (71, 1), (77, 1), (90, 3), (95, 1), (108, 2), (111, 2), (117, 1), (126, 1), (172, 2), (185, 4), (187, 1), (206, 2), (214, 1), (215, 1), (217, 2), (228, 2), (256, 1), (268, 1), (269, 2), (288, 1), (293, 1), (307, 1), (310, 1), (334, 1), (337, 1), (338, 1), (361, 1), (365, 1), (387, 1), (448, 1), (462, 1), (467, 1), (490, 1), (527, 1), (609, 1), (626, 1), (658, 1), (680, 1), (688, 1), (743, 4), (777, 1), (782, 1), (985, 1), (1022, 1), (1091, 1), (1138, 1), (1403, 1), (1690, 1), (1702, 1), (1779, 1), (1824, 1), (1880, 1), (2055, 1), (2075, 1), (2218, 1), (3022, 1), (3026, 1), (3172, 1), (3740, 1), (3763, 1), (3827, 1), (4131, 1), (4347, 1), (5910, 1), (5953, 1), (6982, 1), (7280, 1), (8245, 1), (9395, 1), (10018, 1), (14691, 1), (15537, 1), (15538, 1), (15539, 2), (15540, 1), (15541, 2), (15542, 2), (15543, 1)], [(8, 1), (20, 3), (55, 1), (185, 1), (193, 1), (434, 1), (448, 1), (496, 1), (897, 1), (1170, 1), (1196, 1), (1281, 1), (2543, 1), (4737, 1), (15544, 1)], [(7, 1), (8, 1), (18, 3), (20, 3), (22, 1), (25, 1), (31, 2), (37, 1), (50, 1), (53, 5), (55, 1), (77, 1), (90, 1), (97, 2), (111, 1), (193, 1), (269, 1), (450, 1), (601, 1), (661, 1), (671, 1), (706, 1), (711, 1), (767, 1), (776, 1), (812, 1), (1010, 1), (1041, 1), (1077, 1), (1114, 1), (1393, 1), (1779, 1), (1909, 1), (2744, 1), (3476, 1), (4197, 1), (4674, 1), (5085, 1), (5835, 1), (6075, 1), (6182, 1), (7124, 1), (8923, 1), (10583, 1), (11943, 1), (15041, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (30, 1), (31, 1), (45, 1), (53, 3), (95, 1), (97, 1), (117, 1), (232, 1), (301, 1), (430, 1), (516, 1), (581, 1), (827, 1), (1010, 1), (1308, 1), (1483, 1), (1897, 1), (2071, 1), (2693, 1), (3476, 1), (3478, 1), (3658, 1), (5148, 1), (8769, 1), (8968, 1), (13664, 1), (15545, 1)], [(8, 1), (19, 1), (45, 1), (53, 2), (56, 1), (108, 1), (1630, 1), (2592, 1), (7891, 1), (9515, 1), (11917, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (31, 2), (45, 4), (53, 2), (55, 1), (77, 2), (92, 1), (96, 1), (108, 1), (117, 1), (124, 1), (161, 1), (173, 1), (193, 1), (202, 1), (225, 1), (232, 1), (268, 1), (301, 1), (382, 3), (456, 1), (704, 1), (756, 1), (966, 1), (1071, 1), (1072, 1), (1253, 1), (1642, 1), (1702, 1), (2438, 1), (4197, 1), (4317, 1), (8923, 1), (12108, 1), (15546, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (45, 2), (50, 1), (53, 1), (70, 1), (77, 1), (92, 1), (173, 1), (185, 1), (414, 1), (706, 1), (1165, 1), (2079, 1), (3540, 1), (13821, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (23, 4), (31, 1), (53, 3), (55, 1), (58, 1), (77, 1), (82, 1), (90, 1), (97, 1), (109, 1), (161, 1), (215, 1), (273, 1), (292, 1), (342, 1), (428, 1), (443, 1), (448, 1), (526, 1), (827, 1), (830, 1), (869, 1), (1010, 1), (1021, 2), (1041, 1), (1077, 1), (1102, 1), (1308, 1), (1625, 1), (1685, 1), (1733, 1), (2436, 1), (3804, 1), (5788, 1), (6092, 1), (6344, 1), (6508, 1), (7848, 1), (8693, 1), (9020, 1), (10614, 1), (11002, 1), (11806, 1), (15547, 1), (15548, 1), (15549, 1), (15550, 1)], [(8, 1), (18, 2), (20, 2), (25, 2), (31, 1), (37, 1), (45, 1), (53, 1), (55, 1), (58, 2), (71, 1), (82, 1), (90, 1), (108, 1), (166, 1), (173, 1), (186, 1), (269, 1), (504, 1), (601, 1), (645, 1), (669, 1), (897, 1), (1021, 1), (1342, 1), (1937, 1), (2265, 1), (3124, 1), (3439, 1), (5681, 1), (8746, 1), (15551, 1), (15552, 1)], [(8, 1), (19, 1), (20, 1), (77, 1), (173, 1), (273, 1), (285, 1), (654, 1), (658, 1), (897, 1), (3476, 1), (9020, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (18, 2), (20, 7), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 3), (55, 1), (58, 1), (77, 1), (95, 1), (108, 1), (111, 1), (124, 1), (161, 1), (173, 1), (185, 1), (193, 1), (195, 1), (215, 2), (225, 1), (263, 1), (268, 1), (289, 1), (293, 1), (323, 1), (420, 1), (654, 1), (669, 1), (671, 1), (697, 1), (830, 1), (1010, 1), (1470, 1), (1571, 1), (1598, 1), (2034, 1), (2361, 1), (2795, 1), (3542, 1), (3681, 1), (5368, 1), (8260, 1), (11622, 1), (15545, 1), (15553, 1)], [(77, 1), (185, 1), (1347, 1), (1714, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (45, 2), (50, 2), (53, 1), (55, 2), (65, 1), (77, 1), (97, 1), (173, 2), (214, 1), (414, 1), (420, 1), (516, 1), (632, 1), (865, 1), (1021, 1), (1129, 1), (1522, 2), (1568, 1), (1777, 1), (3419, 1), (3650, 1), (3656, 1), (4515, 1), (7200, 1), (7605, 1), (8923, 1), (10472, 1), (15554, 1), (15555, 1), (15556, 1)], [(8, 1), (18, 3), (20, 3), (30, 1), (31, 3), (50, 2), (53, 3), (90, 1), (108, 2), (111, 1), (124, 1), (173, 1), (215, 1), (241, 1), (365, 1), (404, 1), (531, 1), (1041, 1), (1403, 1), (1731, 1), (1756, 2), (1772, 1), (2361, 1), (3891, 1), (3974, 1), (5092, 1), (5367, 1), (5679, 1), (5788, 1), (7815, 1), (7848, 1), (12284, 1), (15557, 1), (15558, 1), (15559, 2), (15560, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 1), (24, 1), (25, 2), (31, 1), (50, 2), (53, 4), (58, 2), (77, 2), (90, 2), (94, 1), (124, 1), (185, 1), (215, 1), (281, 1), (420, 1), (470, 1), (506, 1), (675, 1), (940, 1), (2660, 1), (2666, 1), (3255, 1), (3466, 1), (3656, 1), (5311, 1), (5528, 1), (7906, 1), (8714, 1), (8785, 1), (8960, 1), (10133, 1), (12326, 1), (15561, 1), (15562, 1), (15563, 1), (15564, 1)], [(8, 1), (23, 1), (77, 1), (96, 1), (106, 1), (1898, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (37, 1), (45, 1), (50, 1), (53, 2), (55, 1), (108, 1), (190, 1), (281, 1), (328, 1), (415, 1), (756, 1), (869, 1), (1253, 1), (1342, 1), (2127, 1), (6711, 1), (6983, 1), (7157, 1), (8923, 1), (9874, 1), (15565, 1), (15566, 2)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (25, 1), (45, 1), (71, 1), (77, 1), (90, 1), (172, 1), (173, 3), (190, 1), (777, 1), (897, 1), (1458, 2), (1541, 1), (1632, 1), (1753, 1), (2744, 1), (3022, 1), (6577, 3), (6821, 1), (8245, 1), (8535, 1), (8991, 1), (12422, 1), (15567, 2), (15568, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (30, 1), (45, 1), (50, 1), (71, 1), (90, 1), (99, 1), (173, 3), (186, 1), (190, 1), (293, 1), (337, 1), (346, 1), (504, 1), (885, 1), (1010, 1), (1458, 1), (1483, 1), (1520, 1), (2029, 1), (2165, 1), (2178, 1), (4732, 1), (10731, 1), (15567, 1), (15569, 1), (15570, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (82, 1), (85, 1), (173, 1), (190, 1), (214, 1), (263, 1), (287, 1), (310, 1), (331, 1), (772, 1), (834, 1), (1057, 1), (4659, 1), (5331, 1), (6197, 1), (6364, 1), (6577, 1), (15567, 1)], [(8, 1), (20, 2), (22, 1), (31, 2), (90, 1), (161, 1), (201, 1), (206, 1), (214, 2), (256, 1), (269, 1), (711, 1), (1478, 2), (6162, 1), (15571, 1), (15572, 1), (15573, 1)], [(19, 1), (20, 3), (45, 2), (50, 1), (53, 1), (58, 1), (71, 1), (85, 1), (95, 1), (108, 1), (281, 1), (346, 1), (743, 1), (1010, 1), (1498, 1), (1714, 1), (1820, 1), (1822, 1), (2149, 1), (2178, 1), (2270, 1), (3912, 1), (15056, 1), (15541, 1), (15574, 1), (15575, 1)], [(8, 1), (19, 1), (20, 2), (30, 1), (37, 1), (50, 1), (53, 3), (58, 1), (77, 1), (90, 1), (95, 1), (108, 1), (117, 1), (185, 1), (232, 1), (278, 1), (1347, 1), (2253, 1), (3582, 1), (4812, 1), (4872, 1), (6983, 1), (11917, 1), (15576, 1)], [(7, 2), (8, 1), (18, 1), (20, 1), (53, 1), (71, 1), (82, 1), (111, 1), (166, 1), (185, 1), (286, 1), (420, 1), (587, 1), (774, 1), (1071, 1), (1403, 1), (2660, 1), (4193, 1), (5092, 1), (6278, 1), (6623, 1), (8724, 1)], [(19, 1), (20, 3), (53, 2), (90, 1), (215, 1), (245, 1), (247, 1), (289, 1), (293, 1), (327, 1), (334, 1), (570, 1), (897, 1), (1118, 1), (4841, 1), (4942, 1), (7061, 1), (10041, 1), (15577, 1)], [(8, 1), (19, 2), (20, 4), (21, 1), (22, 1), (77, 1), (90, 1), (108, 1), (111, 3), (173, 3), (188, 1), (190, 1), (203, 1), (225, 1), (269, 1), (293, 1), (359, 1), (414, 1), (415, 1), (418, 1), (645, 1), (669, 1), (685, 1), (1248, 1), (1308, 1), (1764, 1), (2245, 1), (2994, 1), (3648, 1), (4197, 1), (5161, 1), (9020, 1), (12156, 1), (15578, 1), (15579, 1)], [(8, 1), (45, 1), (50, 1), (53, 1), (111, 1), (269, 1), (301, 1), (410, 1), (756, 1), (1253, 1), (1308, 1), (1342, 1), (2079, 1), (3170, 1), (4192, 1)], [(8, 1), (19, 2), (20, 2), (22, 3), (23, 1), (25, 1), (30, 2), (31, 1), (37, 1), (45, 4), (50, 2), (53, 4), (55, 3), (58, 2), (65, 2), (71, 3), (77, 1), (82, 1), (90, 4), (92, 1), (95, 1), (108, 1), (122, 1), (166, 2), (172, 1), (193, 1), (214, 1), (217, 1), (225, 1), (233, 1), (293, 1), (387, 1), (410, 1), (418, 1), (419, 1), (504, 1), (675, 1), (676, 1), (680, 1), (743, 1), (827, 1), (846, 1), (897, 1), (1308, 2), (1975, 1), (2079, 1), (2149, 1), (2197, 1), (2643, 1), (2828, 1), (2960, 1), (3064, 2), (3295, 1), (3387, 1), (4619, 1), (5176, 1), (7194, 1), (8814, 2), (8872, 1), (9060, 1), (13029, 1), (15580, 1), (15581, 1), (15582, 1)], [(8, 1), (19, 1), (21, 2), (50, 1), (53, 2), (58, 2), (71, 3), (111, 1), (185, 1), (193, 1), (215, 1), (268, 1), (301, 1), (414, 1), (490, 2), (581, 1), (680, 1), (706, 1), (1824, 1), (2216, 1), (3254, 1), (3658, 1), (7196, 1), (7280, 1), (8814, 1), (11449, 1)], [(8, 1), (20, 2), (53, 1), (58, 1), (77, 1), (90, 1), (225, 1), (268, 1), (756, 1), (1253, 1), (2474, 1), (3923, 1), (15583, 1), (15584, 1)], [(50, 1), (91, 1), (96, 1), (173, 1), (301, 1), (1714, 1), (1747, 1), (2853, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (65, 1), (268, 2), (365, 1), (680, 1), (1165, 1), (4188, 1), (6169, 1), (15585, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (18, 1), (20, 5), (21, 2), (22, 1), (25, 2), (30, 1), (45, 3), (50, 4), (53, 5), (55, 1), (77, 1), (90, 3), (92, 1), (95, 1), (99, 1), (108, 1), (111, 1), (173, 2), (174, 1), (215, 2), (225, 1), (234, 1), (268, 1), (293, 1), (420, 1), (428, 1), (430, 1), (516, 1), (680, 1), (813, 1), (824, 1), (1010, 1), (1130, 1), (1138, 1), (1822, 1), (3091, 1), (3295, 1), (4299, 1), (4963, 1), (4970, 1), (5176, 1), (5404, 1), (5636, 1), (5913, 1), (6604, 1), (8532, 1), (8539, 1), (12682, 1), (12857, 1), (12916, 2), (13873, 1), (15546, 1), (15586, 1), (15587, 1), (15588, 1), (15589, 1)], [(19, 1), (20, 1), (53, 1), (95, 1), (96, 1), (225, 1), (273, 1), (301, 1), (897, 1), (1458, 1), (1714, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 1), (23, 1), (46, 1), (50, 1), (56, 1), (85, 1), (90, 1), (161, 1), (172, 1), (185, 1), (273, 1), (347, 1), (672, 1), (697, 1), (740, 1), (827, 1), (1822, 1), (1901, 1), (2005, 1), (3061, 1), (3986, 1), (15590, 1), (15591, 1)], [(247, 1), (1583, 1)], [(53, 1), (56, 1), (77, 1), (90, 1), (247, 1), (531, 1), (744, 1), (5211, 1), (8003, 1), (15592, 1)], [(8, 1), (18, 4), (19, 1), (20, 6), (22, 1), (25, 2), (31, 1), (45, 1), (50, 4), (53, 4), (58, 1), (65, 1), (77, 2), (108, 2), (184, 1), (185, 1), (215, 1), (269, 2), (289, 1), (310, 1), (346, 1), (414, 1), (452, 1), (516, 1), (632, 2), (704, 1), (706, 1), (756, 1), (884, 1), (1010, 1), (1044, 1), (1071, 1), (1138, 1), (1253, 1), (1448, 2), (1630, 1), (1647, 1), (1731, 1), (2543, 1), (3495, 1), (3726, 1), (5159, 1), (8923, 1), (9295, 1), (11411, 1), (12916, 2), (15593, 1), (15594, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (31, 2), (50, 2), (53, 7), (55, 1), (65, 2), (77, 3), (90, 1), (92, 1), (111, 1), (175, 1), (185, 1), (193, 1), (301, 1), (382, 1), (415, 1), (441, 1), (490, 3), (669, 2), (680, 2), (756, 1), (771, 1), (1044, 2), (1253, 1), (2436, 1), (2960, 1), (4145, 1), (7280, 1), (8814, 1), (13821, 1), (15594, 1), (15595, 1), (15596, 2), (15597, 1)], [(8, 1), (22, 1), (50, 1), (53, 4), (55, 1), (58, 1), (71, 1), (77, 2), (90, 2), (92, 1), (108, 1), (122, 1), (185, 1), (256, 1), (382, 1), (526, 1), (680, 1), (1072, 1), (1138, 1), (1464, 1), (2196, 1), (2362, 1), (12916, 1), (13821, 1), (15145, 1), (15598, 1)], [(8, 1), (19, 1), (20, 1), (31, 2), (53, 1), (71, 1), (108, 1), (173, 1), (285, 1), (293, 1), (420, 1), (680, 1), (1470, 1), (2230, 1), (3539, 1), (3724, 1), (4699, 1), (6053, 1), (8856, 1), (11917, 1)], [(8, 1), (20, 1), (25, 1), (53, 2), (77, 1), (117, 1), (173, 2), (232, 1), (260, 1), (285, 1), (301, 1), (328, 1), (504, 1), (756, 1), (1071, 1), (1072, 1), (1253, 1), (1348, 1), (6026, 1), (8814, 1), (8923, 1)], [(8, 1), (20, 4), (25, 2), (30, 2), (45, 1), (50, 2), (53, 2), (55, 1), (77, 1), (90, 1), (99, 2), (169, 1), (190, 1), (324, 1), (328, 1), (420, 1), (452, 1), (504, 1), (531, 1), (966, 1), (1342, 1), (1903, 1), (2036, 1), (2343, 1), (3739, 1), (8535, 1), (8967, 1), (11418, 1), (15255, 1), (15566, 1), (15599, 2), (15600, 1)], [(37, 1), (53, 1), (55, 1), (185, 1), (269, 1), (301, 1), (414, 1), (1714, 1), (2149, 1), (2669, 1), (9980, 1), (15601, 1)], [(85, 1), (247, 1), (3606, 1)], [(22, 2), (30, 1), (53, 1), (77, 1), (82, 1), (96, 1), (99, 1), (109, 1), (172, 1), (182, 1), (581, 1), (680, 1), (897, 1), (1010, 1), (1714, 1), (2145, 1), (2705, 1), (7685, 1), (8814, 2)], [(8, 1), (19, 1), (20, 1), (31, 1), (56, 1), (58, 1), (77, 1), (82, 1), (185, 1), (206, 1), (293, 1), (487, 1), (949, 1), (1193, 1), (2126, 1), (2284, 1), (2655, 1), (2859, 1)], [(8, 1), (23, 1), (37, 1), (40, 1), (50, 1), (53, 1), (172, 1), (324, 1), (487, 1), (894, 1), (2655, 1), (15602, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (58, 2), (69, 1), (71, 1), (77, 1), (95, 1), (96, 1), (99, 1), (108, 1), (185, 1), (215, 2), (331, 1), (601, 1), (800, 1), (1598, 1), (1824, 1), (8814, 1), (15603, 1)], [(8, 1), (18, 3), (19, 2), (20, 5), (22, 1), (24, 1), (25, 1), (26, 1), (30, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 2), (58, 3), (77, 2), (95, 1), (99, 2), (109, 1), (161, 1), (173, 1), (214, 1), (239, 1), (288, 1), (420, 2), (490, 1), (581, 1), (680, 2), (688, 2), (1255, 1), (1615, 1), (1966, 1), (2029, 1), (2145, 1), (2739, 1), (3052, 1), (3296, 1), (3524, 1), (4213, 1), (4520, 1), (5018, 1), (7933, 1), (8814, 1), (14262, 1), (15458, 1), (15604, 1)], [(20, 2), (22, 1), (31, 2), (50, 2), (53, 4), (65, 1), (77, 1), (82, 2), (90, 3), (95, 1), (97, 1), (99, 4), (109, 1), (111, 1), (117, 1), (193, 1), (214, 2), (232, 1), (288, 2), (331, 1), (342, 1), (428, 1), (504, 1), (706, 1), (711, 2), (743, 1), (744, 1), (834, 1), (1041, 1), (1685, 2), (1714, 1), (2055, 1), (2744, 1), (3034, 2), (3064, 1), (3387, 1), (5019, 2), (5385, 1), (5425, 1), (6353, 1), (7280, 1), (8814, 2), (9240, 1), (9625, 1), (14794, 1), (15302, 1), (15605, 1), (15606, 1)], [(8, 1), (18, 6), (20, 3), (22, 1), (31, 3), (34, 1), (45, 2), (50, 1), (53, 3), (55, 2), (65, 2), (92, 1), (95, 1), (99, 1), (117, 1), (186, 1), (190, 1), (215, 2), (232, 1), (260, 2), (275, 1), (286, 1), (361, 1), (365, 1), (414, 1), (420, 1), (580, 1), (679, 1), (680, 1), (706, 1), (895, 1), (897, 1), (1487, 1), (1588, 1), (1756, 1), (1772, 1), (2029, 1), (2732, 1), (2760, 1), (3121, 1), (3426, 2), (5877, 1), (7036, 1), (8308, 1), (8323, 1), (9623, 1), (13302, 1), (15109, 1), (15607, 1)], [(8, 1), (19, 1), (37, 1), (50, 1), (53, 3), (58, 1), (71, 1), (77, 1), (95, 1), (108, 1), (193, 1), (237, 1), (723, 1), (777, 1), (3043, 1), (3495, 1), (3661, 1), (4831, 1), (7061, 1), (8814, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (30, 1), (31, 1), (45, 1), (58, 2), (71, 1), (82, 1), (108, 1), (122, 1), (190, 1), (428, 1), (1685, 1), (1981, 1), (2977, 1), (5177, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (55, 1), (58, 2), (185, 1), (287, 1), (324, 1), (842, 1), (1072, 1), (1324, 1), (1880, 1), (2705, 1), (9497, 1), (15608, 1)], [(8, 1), (20, 4), (50, 2), (53, 4), (55, 1), (58, 1), (97, 1), (109, 1), (190, 2), (237, 1), (260, 1), (286, 1), (293, 1), (309, 1), (324, 1), (387, 1), (420, 1), (428, 1), (1774, 1), (2428, 1), (3049, 1), (3731, 1), (3756, 1), (3780, 1), (10614, 1), (13742, 1), (14269, 1), (15609, 1), (15610, 1), (15611, 1)], [(8, 1), (20, 5), (23, 2), (25, 1), (31, 1), (45, 1), (53, 2), (55, 2), (109, 1), (111, 1), (239, 1), (269, 1), (273, 1), (309, 1), (323, 1), (331, 1), (428, 1), (448, 1), (490, 1), (708, 1), (1069, 1), (1072, 1), (1449, 1), (1702, 1), (3034, 1), (3049, 1), (3255, 1), (3936, 1), (8693, 1), (8814, 1), (9957, 1), (10614, 1), (14237, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (53, 1), (58, 1), (77, 1), (399, 1), (711, 1), (815, 1), (1471, 1), (6439, 1), (7891, 1), (8814, 1), (11564, 1), (15612, 1)], [(8, 1), (20, 3), (22, 1), (23, 2), (25, 1), (53, 1), (58, 3), (77, 1), (82, 1), (90, 1), (99, 1), (172, 1), (190, 1), (233, 1), (261, 1), (289, 1), (324, 1), (387, 1), (428, 1), (504, 1), (597, 1), (1015, 1), (1685, 1), (2030, 1), (2428, 1), (2627, 1), (4763, 1), (11314, 1)], [(8, 1), (19, 2), (20, 2), (24, 1), (53, 1), (58, 1), (70, 1), (77, 1), (185, 1), (387, 1), (498, 1), (506, 1), (581, 1), (675, 1), (897, 1), (1685, 1), (4326, 1), (8814, 1), (10268, 1), (15613, 1)], [(8, 1), (20, 2), (25, 1), (260, 1), (419, 2), (504, 1), (581, 1), (1072, 1), (3136, 1), (5434, 1), (7246, 1), (15614, 1)], [(8, 1), (53, 1), (77, 2), (90, 1), (185, 1), (256, 1), (392, 1), (527, 1), (1193, 1), (4213, 1), (8814, 1), (11808, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 2), (23, 2), (25, 1), (30, 1), (37, 1), (50, 1), (53, 2), (58, 1), (77, 2), (90, 1), (111, 1), (173, 1), (185, 1), (187, 1), (214, 1), (215, 1), (237, 1), (242, 1), (268, 1), (275, 1), (331, 1), (334, 1), (372, 1), (414, 1), (415, 2), (531, 1), (707, 1), (756, 1), (812, 1), (827, 1), (894, 1), (958, 1), (1253, 1), (1607, 1), (2440, 1), (2602, 1), (2631, 1), (2666, 1), (5592, 1), (6092, 1), (7745, 1), (10745, 1), (10922, 1), (11244, 1), (11324, 1), (15472, 1), (15615, 1)], [(8, 1), (25, 1), (36, 1), (77, 1), (621, 1), (2479, 1), (3986, 1)], [(8, 1), (18, 1), (20, 8), (23, 1), (25, 1), (31, 1), (37, 1), (50, 2), (53, 3), (65, 1), (90, 1), (109, 1), (186, 1), (215, 1), (242, 1), (293, 1), (328, 1), (331, 1), (338, 1), (378, 1), (414, 1), (526, 1), (621, 1), (744, 1), (1481, 1), (1529, 1), (2029, 1), (2039, 1), (2681, 1), (3132, 1), (3358, 1), (3488, 1), (3986, 1), (4325, 1), (5252, 1), (6003, 1), (6128, 1), (12313, 1), (15015, 1), (15616, 1), (15617, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (22, 1), (23, 1), (25, 2), (31, 1), (53, 2), (68, 1), (174, 1), (307, 1), (328, 1), (347, 1), (414, 1), (506, 1), (706, 1), (726, 1), (777, 1), (884, 1), (1276, 1), (1580, 1), (2071, 1), (2184, 1), (2270, 1), (3495, 1), (3887, 1), (4394, 1), (7200, 1), (13699, 1), (15618, 1), (15619, 1), (15620, 1), (15621, 1)], [(8, 1), (20, 3), (22, 1), (24, 1), (31, 2), (50, 3), (53, 1), (108, 1), (185, 1), (236, 1), (337, 1), (338, 1), (462, 1), (531, 2), (675, 1), (767, 1), (1529, 1), (1580, 2), (1768, 1), (2691, 1), (2882, 1), (2889, 1), (3425, 1), (4168, 1), (6261, 1), (8765, 1), (9048, 1), (9696, 1), (12326, 1), (13845, 1), (15302, 1), (15622, 1), (15623, 1)], [(7, 3), (8, 1), (18, 3), (19, 1), (20, 6), (21, 2), (22, 1), (25, 1), (30, 1), (34, 1), (45, 3), (50, 2), (53, 1), (58, 2), (84, 1), (90, 1), (92, 1), (99, 1), (190, 1), (215, 2), (275, 1), (281, 1), (288, 1), (331, 1), (347, 1), (365, 1), (381, 1), (504, 1), (580, 1), (587, 1), (678, 1), (706, 1), (1041, 1), (1392, 1), (1883, 1), (2140, 1), (2429, 1), (3132, 1), (3428, 1), (3439, 1), (3883, 1), (4230, 1), (4975, 1), (6592, 1), (6623, 1), (7280, 2), (7547, 1), (7973, 1), (9918, 1), (10163, 1), (15624, 1), (15625, 1), (15626, 1), (15627, 1), (15628, 1)], [(8, 1), (20, 2), (22, 1), (34, 1), (53, 1), (82, 1), (117, 1), (286, 1), (295, 1), (300, 1), (711, 1), (1010, 1), (1075, 1), (1173, 1), (1308, 1), (1685, 1), (1834, 1), (7280, 1), (15629, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 1), (32, 1), (37, 1), (50, 1), (53, 2), (55, 1), (92, 1), (293, 1), (331, 1), (897, 1), (1580, 2), (1594, 1), (2336, 1), (2424, 1), (4374, 1), (4587, 1), (4747, 1), (5132, 1), (7956, 1), (9745, 1), (11543, 1), (12225, 1), (15630, 1)], [(8, 1), (20, 2), (22, 3), (23, 1), (37, 1), (55, 1), (91, 1), (108, 2), (111, 1), (172, 2), (185, 1), (228, 1), (256, 1), (331, 1), (332, 1), (1520, 1), (2543, 1), (3612, 1), (4374, 2), (4747, 1), (8808, 1), (15631, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (37, 1), (50, 2), (55, 1), (91, 1), (185, 1), (220, 1), (256, 1), (323, 1), (448, 1), (487, 2), (645, 1), (947, 1), (1911, 1), (2051, 1), (2479, 1), (3849, 1), (4062, 2), (4358, 1), (4747, 1), (5132, 1), (14364, 1), (15632, 1), (15633, 1), (15634, 1)], [(1544, 1), (15635, 1)], [(8, 1), (24, 1), (15636, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 1), (25, 1), (50, 3), (53, 5), (90, 1), (172, 1), (218, 1), (220, 1), (230, 1), (623, 1), (812, 1), (1160, 1), (3103, 1), (6442, 1), (7625, 1), (7701, 1), (11010, 1), (11044, 1), (15637, 1), (15638, 1), (15639, 1), (15640, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (50, 3), (53, 3), (58, 2), (70, 1), (90, 1), (117, 1), (193, 2), (202, 1), (232, 1), (281, 1), (410, 1), (457, 1), (531, 1), (623, 1), (645, 1), (704, 1), (756, 1), (880, 1), (1041, 1), (1139, 1), (1253, 1), (1287, 1), (1630, 1), (1803, 1), (1892, 1), (4453, 1), (6155, 1), (7564, 1), (8912, 1), (8923, 1), (9187, 1), (13170, 1), (14279, 1)], [(8, 1), (19, 1), (20, 3), (24, 1), (26, 1), (31, 1), (50, 1), (111, 1), (418, 1), (428, 1), (531, 1), (833, 1), (1041, 1), (1122, 1), (1160, 1), (1324, 1), (1539, 1), (2246, 1), (2340, 1), (3264, 1), (3479, 1), (3745, 1), (7913, 1), (8787, 1), (13100, 1), (13645, 1), (15641, 1), (15642, 1)], [(8, 1), (18, 1), (20, 3), (53, 1), (78, 1), (109, 1), (111, 1), (206, 1), (415, 1), (516, 1), (897, 1), (1129, 1), (1270, 1), (2036, 1), (2359, 1), (3264, 1), (3947, 1), (4286, 1), (5923, 1), (13074, 1), (13851, 1), (13912, 1), (15643, 1), (15644, 1)], [(8, 1), (31, 1), (50, 2), (53, 2), (124, 1), (206, 1), (214, 1), (268, 1), (359, 1), (387, 1), (672, 1), (833, 1), (2615, 1), (3264, 1), (4233, 1), (10943, 1), (13008, 1), (13492, 1), (15645, 1)], [(8, 1), (20, 1), (31, 1), (53, 2), (95, 1), (190, 1), (263, 1), (623, 1), (704, 1), (1041, 1), (2359, 1), (4439, 1), (4575, 1), (5257, 1), (5839, 1), (9053, 1), (11760, 1), (14184, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (24, 1), (25, 2), (50, 1), (58, 2), (90, 1), (99, 1), (169, 1), (256, 1), (428, 1), (675, 1), (703, 1), (1248, 1), (1630, 1), (2290, 1), (2418, 1), (2471, 1), (3700, 1), (4525, 1), (5743, 1), (6923, 1), (7881, 1), (10780, 1), (14222, 1), (15646, 1), (15647, 1), (15648, 1)], [(8, 1), (20, 3), (22, 1), (24, 1), (25, 3), (31, 1), (50, 1), (53, 3), (174, 1), (214, 1), (269, 1), (452, 1), (834, 1), (1485, 1), (1630, 1), (2036, 1), (2290, 1), (2487, 1), (3480, 1), (5743, 1), (6249, 1), (8791, 1), (9525, 1), (13650, 2)], [(8, 1), (19, 1), (20, 2), (53, 1), (106, 1), (215, 2), (289, 1), (623, 1), (2005, 1), (2016, 1), (4619, 1), (8968, 1), (11002, 1), (15649, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (31, 1), (50, 4), (51, 1), (53, 7), (55, 1), (97, 1), (190, 1), (289, 1), (293, 1), (334, 1), (386, 1), (553, 1), (834, 1), (2029, 1), (2290, 1), (2553, 1), (3318, 1), (3416, 1), (3495, 1), (4344, 1), (4889, 1), (5585, 1), (5712, 1), (5983, 1), (8345, 1), (8996, 1), (9048, 1), (9693, 1), (11929, 1), (12502, 1), (15650, 1), (15651, 1), (15652, 1)], [(8, 1), (18, 2), (19, 2), (20, 4), (22, 1), (25, 4), (31, 2), (50, 3), (53, 8), (55, 2), (77, 1), (82, 1), (90, 1), (91, 1), (95, 1), (97, 1), (185, 1), (215, 1), (293, 1), (301, 1), (310, 1), (414, 1), (428, 1), (450, 1), (459, 1), (504, 1), (525, 1), (587, 1), (601, 1), (623, 2), (632, 1), (675, 1), (777, 1), (974, 1), (1287, 1), (1399, 1), (1966, 1), (2660, 1), (2985, 2), (3264, 1), (3435, 1), (3480, 1), (4619, 1), (6249, 1), (6395, 1), (6411, 1), (7035, 1), (7199, 1), (8000, 1), (9953, 1), (11912, 1), (11913, 1), (12131, 1), (12502, 1), (14908, 1), (15653, 1), (15654, 1), (15655, 1), (15656, 1)], [(8, 1), (19, 2), (20, 1), (53, 1), (58, 1), (185, 1), (387, 1), (459, 1), (1196, 1), (1685, 1), (4892, 1), (12535, 1), (15657, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (22, 1), (37, 1), (50, 3), (53, 1), (92, 1), (185, 1), (193, 1), (1041, 2), (1139, 1), (1747, 1), (3043, 1), (3522, 1), (3822, 1), (4619, 1), (5712, 1), (7879, 1), (11688, 1), (13226, 1), (13717, 1), (15658, 1), (15659, 1), (15660, 1), (15661, 1)], [(8, 1), (20, 1), (53, 1), (58, 1), (109, 1), (407, 1), (450, 1), (834, 1), (1549, 1), (2035, 1), (3822, 1), (9412, 1), (10874, 1), (10943, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (53, 1), (55, 1), (58, 2), (111, 1), (225, 1), (256, 1), (289, 1), (812, 1), (1260, 1), (1685, 1), (1761, 1), (3756, 1), (4169, 1), (5712, 2), (10943, 1), (15662, 1), (15663, 1), (15664, 1), (15665, 1), (15666, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (37, 1), (53, 3), (71, 1), (90, 1), (109, 1), (170, 1), (285, 1), (777, 1), (1041, 1), (1324, 1), (1470, 1), (1542, 1), (1755, 1), (1829, 1), (2858, 1), (4235, 1), (5708, 1), (6214, 1), (9636, 1)], [(8, 1), (18, 1), (20, 2), (50, 2), (53, 4), (54, 1), (55, 1), (90, 1), (109, 1), (173, 1), (209, 1), (215, 1), (645, 1), (903, 1), (2878, 1), (2995, 1), (3055, 1), (4577, 1), (4889, 1), (5495, 1), (5904, 1), (7030, 1), (8580, 1), (13084, 1), (13395, 1), (14815, 1), (15667, 1), (15668, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (77, 1), (96, 1), (260, 1), (328, 1), (332, 1), (1080, 1), (2693, 1), (2812, 1), (3013, 1), (4415, 1), (4418, 1), (11329, 1), (15669, 1)], [(8, 1), (20, 10), (22, 1), (25, 1), (31, 2), (37, 2), (45, 2), (50, 5), (53, 5), (58, 1), (77, 1), (97, 2), (161, 1), (175, 1), (188, 1), (206, 1), (214, 1), (215, 1), (217, 1), (225, 1), (256, 1), (269, 1), (293, 1), (331, 1), (407, 1), (414, 1), (527, 1), (711, 2), (830, 1), (1080, 1), (1161, 1), (1354, 1), (1393, 1), (2151, 1), (3103, 1), (4455, 1), (4619, 1), (5294, 2), (6464, 1), (6920, 1), (7921, 1), (7956, 1), (8156, 1), (9685, 1), (9747, 1), (12499, 1), (13242, 1), (15058, 1), (15670, 1), (15671, 1), (15672, 1), (15673, 1), (15674, 1), (15675, 1), (15676, 1), (15677, 1)], [(7, 1), (8, 1), (20, 5), (23, 1), (31, 4), (50, 2), (53, 3), (58, 1), (71, 2), (77, 1), (90, 1), (111, 2), (188, 1), (214, 1), (490, 1), (532, 1), (987, 1), (1041, 1), (2153, 1), (2605, 1), (3478, 1), (5634, 1), (7533, 1), (7949, 1), (8219, 1), (8352, 1), (10000, 1), (14534, 1), (14869, 1), (15678, 1), (15679, 1)], [(8, 1), (58, 1), (117, 1), (232, 1), (268, 1), (581, 1), (1069, 1), (11196, 1), (15680, 1), (15681, 1)], [(8, 1), (19, 1), (58, 1), (214, 1), (334, 1), (1393, 1), (3822, 1), (15682, 1)], [(8, 1), (18, 2), (20, 5), (22, 4), (31, 4), (108, 1), (215, 2), (420, 2), (1070, 1), (2702, 1), (2839, 2), (3264, 1), (3528, 1), (8141, 1), (8918, 1), (9145, 1), (11247, 1), (15683, 1), (15684, 1), (15685, 1), (15686, 1), (15687, 1)], [(8, 1), (18, 1), (20, 1), (31, 2), (37, 1), (50, 1), (53, 2), (109, 1), (117, 1), (210, 1), (232, 1), (365, 1), (392, 1), (415, 1), (623, 1), (670, 1), (1041, 1), (1305, 1), (1373, 1), (1478, 1), (3528, 1), (5378, 1), (6509, 1), (8791, 1), (11757, 1)], [(8, 1), (122, 1), (812, 1), (15688, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (74, 1), (77, 1), (111, 1), (359, 1), (645, 1), (2306, 1), (3802, 1), (9315, 1)], [(8, 1), (20, 1), (45, 1), (50, 1), (53, 2), (77, 1), (95, 1), (553, 1), (623, 1), (4465, 1), (8307, 1), (15689, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (26, 1), (53, 2), (58, 1), (65, 1), (77, 1), (90, 1), (97, 1), (185, 1), (381, 1), (420, 1), (582, 1), (679, 1), (897, 1), (1071, 1), (1380, 1), (2752, 1), (4179, 1), (4954, 1), (5148, 1), (5250, 1), (7043, 1), (7718, 1), (11971, 1), (13774, 1), (13776, 1), (15690, 1)], [(7, 1), (8, 1), (19, 1), (65, 1), (632, 1), (1308, 1), (3000, 1), (6545, 1), (8646, 1), (9179, 1)], [(8, 1), (18, 1), (20, 4), (25, 2), (31, 1), (45, 3), (55, 2), (77, 1), (90, 1), (95, 2), (122, 1), (173, 1), (269, 1), (392, 1), (623, 1), (645, 1), (706, 1), (884, 1), (1088, 1), (1308, 1), (1529, 1), (2265, 1), (2378, 1), (2474, 1), (4366, 1), (5159, 1), (6213, 2), (7467, 1), (11247, 1), (15691, 1), (15692, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (45, 1), (53, 2), (58, 1), (77, 1), (109, 1), (173, 1), (193, 1), (359, 1), (373, 1), (1308, 1), (1324, 1), (1395, 1), (3264, 1), (4801, 1), (7466, 1), (7552, 1), (10740, 1), (14808, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (53, 2), (58, 2), (71, 1), (77, 1), (353, 1), (504, 1), (869, 1), (897, 1), (1010, 1), (1025, 1), (1041, 1), (1613, 1), (2812, 1), (6904, 1), (8084, 1), (9301, 1), (14875, 1)], [(8, 1), (50, 1), (58, 1), (111, 1), (373, 1), (581, 1), (645, 1), (865, 1), (1165, 1), (7918, 1)], [(8, 1), (18, 3), (19, 1), (20, 5), (22, 1), (25, 1), (31, 2), (50, 3), (53, 6), (58, 2), (77, 1), (92, 1), (95, 1), (111, 2), (222, 1), (256, 1), (373, 1), (407, 1), (418, 1), (504, 1), (632, 1), (680, 1), (813, 1), (897, 1), (1041, 1), (1308, 1), (1815, 1), (2262, 1), (2365, 1), (2758, 1), (3036, 1), (3100, 1), (3658, 1), (3807, 1), (4286, 1), (5125, 1), (5717, 1), (6794, 1), (8782, 1), (9528, 1), (9692, 1), (13712, 1), (14869, 1), (15693, 1), (15694, 1), (15695, 1)], [(8, 1), (20, 1), (31, 1), (53, 1), (90, 1), (117, 1), (175, 1), (214, 2), (232, 1), (293, 1), (354, 1), (529, 1), (632, 1), (711, 1), (1321, 1), (1456, 1), (3677, 1), (3756, 1), (4073, 1), (7500, 1), (14527, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (53, 1), (77, 1), (269, 1), (708, 1), (757, 1), (3064, 1), (3247, 1), (12288, 1), (14115, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (23, 1), (31, 4), (50, 2), (53, 5), (58, 3), (77, 2), (90, 1), (95, 1), (108, 1), (117, 1), (185, 1), (232, 1), (256, 1), (328, 1), (392, 1), (506, 1), (623, 1), (675, 1), (877, 1), (1072, 1), (1308, 1), (1803, 1), (1975, 1), (3641, 1), (3814, 1), (7355, 1), (8141, 1), (10697, 1), (12131, 1), (15696, 1), (15697, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (22, 1), (25, 2), (31, 2), (37, 1), (45, 1), (50, 2), (53, 4), (55, 1), (77, 1), (90, 1), (95, 1), (106, 1), (109, 1), (117, 1), (173, 1), (232, 1), (256, 1), (262, 1), (281, 1), (365, 1), (420, 1), (504, 1), (526, 1), (632, 2), (1024, 1), (1960, 2), (2702, 1), (3103, 1), (3264, 1), (3814, 1), (4910, 1), (5159, 1), (7346, 1), (7854, 1), (7874, 1), (8923, 1), (9338, 1), (14819, 1), (15698, 1), (15699, 1), (15700, 1)], [(31, 1), (77, 1), (90, 1), (247, 1), (328, 1), (596, 1), (3641, 1), (9508, 1), (15701, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (25, 2), (50, 1), (53, 1), (55, 1), (65, 1), (90, 1), (117, 1), (161, 1), (185, 1), (293, 1), (450, 1), (506, 1), (623, 1), (743, 1), (897, 1), (1066, 1), (1534, 1), (2139, 1), (2366, 1), (3174, 1), (4619, 1), (7144, 1), (7355, 1), (9394, 1), (11586, 1), (13615, 1), (15702, 1), (15703, 1), (15704, 1), (15705, 1), (15706, 1), (15707, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (23, 1), (25, 1), (31, 2), (45, 2), (50, 1), (53, 3), (58, 1), (77, 1), (82, 1), (90, 2), (95, 1), (108, 1), (124, 1), (172, 1), (185, 1), (269, 1), (420, 1), (533, 1), (560, 1), (574, 1), (623, 1), (833, 1), (1122, 1), (1494, 1), (1549, 1), (1747, 1), (1751, 1), (1803, 1), (1824, 1), (2030, 1), (2265, 1), (2488, 1), (2500, 1), (3400, 1), (4697, 1), (7355, 1), (15707, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (30, 1), (31, 1), (45, 1), (50, 3), (53, 5), (58, 1), (65, 1), (95, 1), (99, 1), (109, 1), (169, 1), (173, 1), (215, 1), (221, 1), (281, 1), (392, 1), (414, 1), (459, 1), (484, 1), (504, 1), (516, 1), (518, 1), (583, 1), (587, 1), (2290, 1), (3978, 1), (5174, 1), (7745, 1), (9145, 1), (13225, 1), (15708, 1), (15709, 1), (15710, 1), (15711, 1), (15712, 1)], [(8, 1), (31, 1), (34, 1), (45, 2), (99, 1), (301, 1), (354, 1), (1702, 1), (4619, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (45, 1), (50, 1), (53, 3), (108, 1), (214, 1), (428, 1), (623, 1), (897, 1), (1010, 1), (1012, 1), (1240, 1), (1246, 1), (2340, 1), (3479, 1), (8923, 1), (12141, 1), (15713, 1), (15714, 1), (15715, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (45, 1), (50, 1), (53, 4), (54, 1), (65, 1), (69, 1), (90, 2), (99, 2), (109, 2), (193, 1), (217, 1), (285, 2), (334, 1), (342, 2), (347, 1), (415, 1), (504, 1), (1302, 1), (1801, 1), (2365, 1), (2705, 1), (3064, 1), (3434, 1), (3641, 1), (6612, 1), (7280, 1), (13821, 1), (15595, 1), (15716, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (25, 1), (26, 1), (31, 2), (45, 3), (50, 5), (53, 7), (55, 1), (77, 1), (85, 2), (173, 1), (193, 1), (202, 1), (209, 1), (214, 2), (239, 1), (256, 1), (293, 1), (392, 1), (410, 1), (420, 1), (428, 1), (607, 1), (626, 1), (694, 1), (704, 1), (705, 1), (711, 2), (897, 1), (966, 1), (1010, 1), (1057, 1), (1071, 1), (1416, 1), (1668, 1), (2469, 1), (2660, 1), (2799, 1), (3264, 2), (3419, 1), (3700, 1), (6364, 1), (6982, 1), (7501, 1), (7897, 1), (8150, 1), (8319, 1), (8923, 1), (9745, 1), (13803, 1), (14184, 1), (14543, 1), (15683, 1)], [(8, 1), (19, 2), (21, 2), (31, 1), (37, 1), (50, 1), (53, 3), (71, 2), (77, 1), (95, 1), (117, 1), (182, 1), (185, 1), (232, 1), (503, 1), (723, 1), (1499, 1), (1668, 1), (2016, 1), (3264, 1), (3289, 1), (5251, 1), (5831, 1), (15686, 1), (15717, 1), (15718, 1), (15719, 1)], [(8, 1), (50, 1), (53, 3), (193, 1), (374, 1), (623, 1), (675, 1), (1001, 1), (2658, 1), (3206, 1), (5737, 1), (6610, 1), (10830, 1), (13838, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (45, 1), (50, 1), (53, 1), (109, 1), (172, 1), (182, 1), (241, 1), (2173, 1), (2258, 1), (3533, 1), (3728, 1), (6157, 1), (7013, 1), (8062, 1), (9524, 1), (10056, 1), (10484, 1), (15720, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (31, 5), (37, 2), (50, 1), (53, 3), (58, 1), (77, 1), (90, 1), (96, 1), (99, 2), (190, 1), (193, 1), (214, 1), (301, 1), (504, 2), (744, 1), (5199, 1), (5430, 1), (7396, 1), (8352, 1), (12535, 1), (15721, 1), (15722, 1), (15723, 1)], [(8, 1), (18, 3), (20, 3), (23, 1), (25, 2), (31, 2), (37, 1), (50, 2), (53, 3), (55, 1), (65, 1), (90, 1), (108, 1), (187, 1), (193, 1), (317, 1), (365, 1), (417, 1), (433, 1), (706, 1), (709, 1), (726, 1), (776, 1), (829, 1), (1416, 1), (1580, 1), (1738, 1), (3264, 1), (3426, 1), (3557, 1), (4214, 1), (6085, 1), (9051, 1), (11345, 1), (11945, 1), (13803, 1), (15295, 1), (15724, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (50, 3), (53, 4), (54, 1), (58, 1), (193, 1), (209, 1), (260, 1), (506, 1), (744, 1), (812, 1), (903, 1), (999, 1), (1130, 1), (1342, 1), (1587, 1), (2545, 1), (6500, 1), (7559, 1), (10992, 1), (11018, 1), (15725, 1)], [(8, 1), (20, 2), (23, 1), (30, 1), (37, 1), (50, 3), (53, 3), (95, 1), (209, 1), (407, 1), (897, 1), (4325, 1), (4577, 1), (7355, 1), (9522, 1), (12161, 1), (15726, 1), (15727, 1), (15728, 2)], [(8, 1), (19, 1), (20, 1), (31, 1), (50, 1), (53, 3), (55, 1), (286, 1), (450, 1), (1582, 1), (2926, 1), (3481, 1), (3756, 1), (3988, 1), (4583, 1), (6309, 1), (6436, 1), (7240, 1), (7751, 1), (8172, 1), (12190, 1), (15729, 1)], [(8, 1), (19, 2), (20, 4), (24, 1), (25, 2), (31, 1), (50, 3), (53, 7), (82, 1), (95, 1), (97, 1), (185, 1), (214, 1), (215, 1), (269, 1), (289, 1), (293, 1), (414, 1), (415, 1), (418, 1), (448, 1), (531, 1), (623, 1), (670, 1), (687, 1), (711, 1), (743, 1), (834, 1), (874, 1), (1160, 1), (1348, 1), (1803, 1), (2036, 1), (2184, 1), (2686, 1), (2987, 1), (4627, 1), (6941, 1), (7355, 1), (7879, 1), (7957, 1), (11122, 1), (11235, 1), (12160, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (45, 1), (50, 1), (53, 2), (55, 1), (77, 2), (117, 1), (210, 2), (215, 1), (232, 1), (256, 2), (286, 1), (293, 1), (623, 1), (1803, 1), (5842, 1), (7355, 1), (7555, 1), (13237, 1), (15730, 1), (15731, 1)], [(8, 1), (18, 1), (20, 3), (24, 1), (25, 2), (31, 1), (37, 1), (45, 1), (50, 2), (53, 6), (55, 2), (95, 1), (97, 1), (109, 1), (117, 2), (172, 1), (215, 2), (232, 2), (269, 1), (289, 1), (337, 1), (394, 1), (407, 1), (415, 1), (428, 1), (450, 1), (452, 1), (459, 1), (531, 1), (621, 1), (913, 1), (982, 1), (1010, 1), (1803, 1), (2608, 1), (2895, 1), (3264, 1), (3700, 1), (3839, 1), (6213, 1), (6402, 1), (7355, 1), (7466, 1), (7555, 1), (8365, 1), (9930, 1), (9953, 1), (10540, 1), (10752, 1), (11752, 1), (12385, 1), (14085, 1), (15520, 1), (15732, 1)], [(7742, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 2), (25, 1), (31, 3), (37, 1), (50, 2), (53, 8), (77, 2), (82, 1), (90, 2), (95, 2), (206, 1), (214, 1), (215, 1), (289, 1), (328, 1), (399, 1), (448, 1), (525, 1), (697, 1), (874, 1), (877, 1), (922, 1), (1330, 1), (1597, 1), (1747, 1), (1836, 1), (1909, 1), (2036, 1), (2117, 1), (2474, 1), (2774, 1), (3495, 1), (3790, 1), (6092, 1), (7355, 3), (7742, 1), (8814, 1), (8971, 1), (14264, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 2), (45, 1), (46, 1), (53, 1), (57, 1), (58, 2), (77, 1), (90, 1), (111, 1), (122, 1), (186, 1), (190, 1), (240, 1), (660, 1), (680, 1), (897, 1), (1803, 1), (2258, 1), (2428, 1), (3756, 1), (5888, 1), (7355, 1), (13757, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (24, 1), (53, 1), (58, 1), (124, 2), (185, 1), (623, 1), (678, 1), (1011, 1), (1580, 1), (1685, 1), (5528, 1), (15733, 1), (15734, 1)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 1), (58, 1), (75, 1), (97, 1), (214, 1), (240, 1), (285, 1), (328, 1), (645, 1), (711, 1), (1102, 1), (2359, 1), (2744, 1), (3466, 1), (5236, 1), (5634, 1), (6982, 1), (8333, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 1), (23, 1), (25, 1), (53, 2), (55, 1), (56, 1), (65, 1), (90, 2), (91, 1), (95, 1), (172, 2), (206, 2), (214, 1), (293, 1), (323, 1), (359, 1), (531, 1), (1466, 1), (2030, 1), (2103, 1), (2664, 1), (2785, 1), (3812, 1), (5837, 1), (5910, 1), (7605, 1), (8333, 1), (9767, 1), (15295, 1), (15735, 1), (15736, 1), (15737, 1), (15738, 1), (15739, 1), (15740, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (26, 1), (31, 1), (45, 2), (50, 2), (53, 1), (95, 1), (214, 1), (263, 1), (328, 1), (407, 1), (415, 1), (1836, 1), (1909, 1), (2095, 1), (3043, 1), (3758, 1), (3759, 1), (3822, 1), (15741, 1)], [(8, 1), (20, 3), (22, 1), (23, 3), (25, 1), (30, 2), (82, 1), (190, 1), (256, 1), (287, 1), (288, 1), (338, 1), (812, 1), (830, 1), (897, 1), (3034, 1), (3049, 1), (15742, 1)], [(20, 1), (23, 1), (45, 1), (50, 1), (53, 1), (82, 1), (95, 1), (185, 1), (260, 1), (288, 1), (301, 1), (504, 1), (623, 1), (706, 1), (1714, 1), (3034, 1), (3200, 1)], [(20, 2), (45, 1), (124, 1), (173, 1), (225, 1), (288, 1), (289, 1), (420, 1), (1714, 1), (2977, 2), (3056, 1), (8818, 1)], [(8, 1), (19, 1), (20, 3), (34, 1), (71, 1), (82, 1), (173, 1), (182, 1), (252, 1), (256, 1), (273, 1), (292, 1), (623, 1), (626, 1), (675, 1), (1580, 3), (2137, 1), (2977, 1), (7953, 1)], [(8, 1), (20, 1), (22, 1), (23, 2), (25, 1), (45, 2), (85, 1), (96, 1), (173, 2), (190, 1), (225, 1), (268, 1), (273, 1), (301, 1), (410, 1), (626, 1), (885, 1), (1072, 1), (1458, 1), (2137, 1), (2977, 2), (3419, 1), (4455, 1)], [(1544, 1), (15743, 1)], [(8, 1), (24, 1), (7230, 1), (15744, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (37, 1), (50, 3), (53, 2), (65, 1), (109, 1), (174, 1), (407, 1), (1056, 1), (1287, 1), (3111, 1), (5607, 1), (9598, 1), (11343, 1), (12359, 1), (12408, 1), (15745, 1), (15746, 1), (15747, 1), (15748, 1)], [(8, 1), (18, 2), (20, 8), (22, 1), (25, 2), (50, 1), (53, 3), (55, 2), (83, 1), (90, 1), (97, 1), (109, 2), (111, 1), (174, 2), (228, 1), (359, 1), (394, 1), (583, 1), (587, 1), (1080, 1), (1087, 1), (1239, 1), (1543, 1), (1666, 1), (2536, 1), (2542, 1), (2546, 1), (2703, 1), (5322, 1), (6208, 1), (7612, 1), (7659, 1), (9598, 1), (10573, 1), (11593, 1), (11782, 1), (13580, 1), (15747, 1), (15749, 1), (15750, 1), (15751, 1)], [(7, 1), (8, 1), (22, 1), (25, 2), (50, 2), (53, 2), (65, 1), (77, 1), (97, 1), (106, 1), (108, 1), (187, 1), (214, 1), (355, 1), (399, 1), (2254, 1), (3726, 1), (6373, 1), (7738, 1), (11598, 1), (12136, 1), (15746, 1), (15750, 1), (15752, 1), (15753, 1)], [(8, 1), (19, 1), (20, 3), (50, 1), (53, 3), (109, 1), (428, 1), (518, 1), (639, 1), (1460, 1), (1522, 1), (1692, 2), (1741, 1), (5159, 1), (8430, 1), (11598, 1), (15752, 1)], [(7, 2), (8, 1), (18, 2), (19, 2), (20, 13), (22, 2), (25, 6), (31, 1), (37, 1), (46, 1), (50, 7), (53, 7), (55, 1), (56, 1), (58, 1), (65, 1), (82, 1), (90, 4), (97, 1), (109, 2), (193, 1), (201, 1), (202, 1), (214, 1), (215, 1), (365, 1), (392, 1), (405, 1), (428, 1), (448, 1), (452, 1), (587, 2), (674, 1), (675, 1), (711, 1), (723, 1), (743, 1), (744, 1), (827, 1), (884, 1), (1087, 2), (1131, 1), (1148, 1), (1297, 1), (1403, 1), (1404, 1), (1474, 1), (1988, 1), (2049, 1), (2536, 1), (2542, 1), (2694, 1), (2739, 1), (2820, 1), (2965, 1), (3111, 1), (3958, 1), (4165, 1), (4366, 1), (4475, 1), (4602, 1), (6009, 1), (6217, 1), (6567, 1), (7753, 1), (8102, 1), (8819, 1), (9325, 1), (9495, 1), (9607, 1), (11389, 1), (11598, 1), (12493, 1), (13580, 2), (14872, 1), (15750, 1), (15752, 1), (15754, 1), (15755, 1), (15756, 1), (15757, 1), (15758, 1), (15759, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 1), (50, 2), (53, 5), (55, 1), (97, 1), (214, 1), (834, 1), (958, 1), (1496, 1), (4041, 1), (4702, 1), (9789, 1), (10484, 1), (11778, 1), (12823, 1), (14310, 1), (15752, 1), (15760, 1)], [(7, 2), (8, 1), (20, 5), (25, 2), (50, 4), (53, 7), (55, 1), (65, 1), (82, 1), (97, 1), (108, 1), (109, 1), (172, 1), (206, 1), (307, 1), (355, 1), (361, 1), (754, 1), (1087, 1), (1224, 1), (1685, 1), (1738, 1), (2019, 1), (2036, 1), (2189, 1), (2542, 1), (3212, 1), (3540, 1), (3763, 1), (4347, 1), (5686, 1), (5921, 1), (7740, 1), (7927, 1), (9172, 1), (13580, 1), (13895, 1), (15761, 1), (15762, 1), (15763, 1), (15764, 1), (15765, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (124, 1), (185, 1), (268, 1), (301, 1), (450, 1), (516, 1), (711, 2), (1529, 1), (1685, 1), (4465, 1), (4815, 1), (8266, 1), (12969, 1), (15766, 1), (15767, 1), (15768, 1), (15769, 1)], [(8, 1), (20, 3), (25, 1), (50, 4), (53, 6), (85, 2), (92, 1), (172, 1), (193, 1), (281, 1), (399, 1), (450, 1), (1287, 1), (1522, 1), (1594, 1), (2366, 1), (2542, 1), (2636, 1), (2687, 1), (4025, 1), (4048, 1), (6623, 1), (8810, 1), (9899, 1), (11598, 1), (12451, 1), (15251, 1), (15768, 1), (15770, 1), (15771, 1), (15772, 1), (15773, 1)], [(7, 1), (8, 1), (20, 6), (22, 1), (25, 2), (31, 1), (50, 4), (53, 4), (97, 1), (172, 2), (193, 2), (206, 1), (217, 2), (225, 1), (260, 1), (361, 1), (419, 1), (529, 1), (711, 1), (809, 1), (834, 1), (1235, 1), (1282, 1), (1354, 1), (1505, 1), (1517, 1), (1522, 1), (1824, 1), (2117, 1), (2608, 1), (2983, 1), (3993, 1), (4296, 1), (4652, 1), (7614, 1), (9767, 1), (10567, 1), (15774, 1), (15775, 1), (15776, 1), (15777, 1), (15778, 1), (15779, 1)], [(7, 2), (8, 1), (18, 1), (19, 3), (20, 8), (22, 1), (25, 3), (31, 1), (32, 1), (46, 1), (50, 1), (53, 6), (54, 1), (71, 1), (91, 1), (92, 1), (108, 1), (206, 1), (226, 1), (328, 2), (334, 1), (365, 1), (428, 1), (754, 1), (756, 1), (777, 1), (791, 1), (1068, 1), (1253, 1), (1262, 1), (1342, 1), (1348, 1), (1682, 1), (1732, 1), (1998, 1), (2096, 1), (2678, 1), (2727, 1), (3053, 1), (3542, 1), (4074, 1), (4281, 1), (4652, 1), (4778, 1), (6129, 1), (6315, 1), (7144, 1), (8183, 1), (8343, 1), (11439, 1), (11598, 1), (13422, 1), (15780, 1), (15781, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 4), (20, 5), (22, 2), (25, 1), (31, 3), (37, 1), (45, 1), (46, 2), (50, 1), (53, 6), (54, 1), (56, 1), (58, 1), (69, 1), (71, 2), (173, 2), (193, 1), (206, 1), (281, 2), (285, 1), (365, 1), (407, 2), (420, 1), (601, 1), (639, 1), (756, 1), (1070, 1), (1102, 1), (1139, 1), (1155, 1), (1253, 1), (1509, 1), (1667, 1), (1998, 1), (2016, 1), (2315, 1), (3591, 1), (3912, 1), (4465, 1), (6129, 1), (6315, 1), (8343, 1), (8747, 1), (9453, 1), (10887, 1), (11439, 1), (11454, 1), (11489, 1), (12079, 1), (14265, 1), (14475, 1), (15258, 1), (15782, 1)], [(32, 1), (288, 1), (301, 1), (1714, 1)], [(20, 1), (31, 1), (185, 1), (268, 1), (405, 1), (1714, 1), (1747, 1), (3641, 1), (6315, 1), (8117, 1), (15783, 1)], [(45, 1), (1010, 1), (1506, 1), (1714, 1), (1747, 1), (5679, 1)], [(8, 1), (20, 1), (108, 1), (173, 1), (190, 1), (680, 1), (1874, 1), (2234, 1)], [(8, 1), (3755, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 1), (32, 1), (45, 1), (53, 1), (65, 1), (96, 1), (117, 1), (174, 1), (225, 1), (232, 1), (256, 1), (268, 1), (286, 1), (388, 1), (1342, 1), (1377, 1), (1899, 1), (2548, 1), (3426, 1), (3480, 1), (5491, 1), (15784, 1), (15785, 1), (15786, 1)], [(8, 1), (241, 1), (6315, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (185, 1), (278, 1), (5447, 1), (6656, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 2), (53, 1), (55, 1), (56, 1), (65, 2), (68, 1), (71, 1), (95, 1), (214, 1), (256, 1), (268, 1), (310, 1), (415, 1), (450, 2), (709, 1), (1313, 1), (1506, 1), (1655, 1), (1756, 1), (3924, 1), (4034, 1), (4730, 1), (5658, 1), (6206, 1), (6380, 1), (6524, 1), (7436, 1), (8033, 1), (11756, 1)], [(8, 1), (18, 1), (31, 1), (117, 1), (225, 1), (232, 1), (1156, 1), (1159, 1), (1867, 1), (2985, 1), (7827, 1), (9476, 1), (10698, 1), (14853, 1)], [(8, 1), (22, 1), (25, 1), (55, 2), (65, 1), (77, 1), (82, 1), (253, 1), (1156, 1), (1304, 1), (8813, 1), (14395, 1), (15787, 1), (15788, 1), (15789, 1)], [(8, 1), (31, 1), (117, 1), (609, 1), (680, 1), (1156, 1), (1159, 1), (1756, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (31, 2), (51, 1), (53, 4), (97, 1), (109, 1), (111, 1), (256, 1), (307, 1), (394, 1), (420, 1), (609, 1), (680, 1), (708, 1), (1155, 1), (1248, 1), (1361, 1), (3033, 1), (4372, 1), (4956, 1), (5649, 1), (5679, 1), (5874, 1), (7761, 1), (9162, 1), (10470, 1), (13745, 1), (14795, 1), (15790, 1), (15791, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 1), (25, 1), (31, 1), (37, 1), (50, 2), (53, 1), (58, 1), (65, 1), (77, 1), (82, 1), (90, 2), (95, 1), (109, 1), (170, 1), (172, 2), (182, 1), (193, 1), (237, 1), (256, 1), (268, 1), (269, 1), (355, 1), (415, 1), (516, 1), (626, 1), (645, 1), (705, 1), (709, 1), (830, 2), (904, 1), (1159, 1), (1458, 1), (1498, 1), (1506, 1), (1529, 1), (1692, 1), (1999, 1), (2820, 1), (3114, 1), (5526, 1), (6373, 1), (7180, 1), (8282, 1), (8908, 1), (9827, 1), (15792, 1)], [(20, 2), (22, 1), (53, 2), (90, 2), (91, 1), (99, 1), (117, 1), (226, 1), (232, 1), (241, 1), (285, 1), (347, 1), (702, 1), (711, 1), (792, 1), (914, 1), (1178, 1), (1198, 1), (1308, 1), (1978, 1), (2013, 1), (2084, 1), (2191, 1), (2265, 1), (2747, 1), (2933, 1)], [(7, 1), (8, 1), (19, 1), (20, 8), (22, 2), (25, 2), (31, 1), (50, 4), (53, 7), (54, 1), (65, 1), (108, 1), (124, 2), (215, 4), (217, 1), (222, 1), (228, 1), (281, 1), (346, 1), (347, 1), (396, 1), (407, 1), (459, 1), (531, 1), (707, 1), (708, 1), (791, 1), (940, 1), (1170, 1), (1253, 1), (1270, 1), (1482, 1), (1502, 1), (2091, 1), (2455, 1), (2515, 1), (2785, 1), (3723, 1), (3958, 1), (4299, 1), (4702, 1), (5054, 1), (5211, 1), (5486, 1), (5833, 1), (6129, 1), (6309, 1), (8102, 1), (8343, 1), (9025, 1), (13580, 2), (15752, 1), (15793, 1), (15794, 1)], [(8, 1), (18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 5), (54, 2), (55, 1), (82, 1), (301, 1), (405, 1), (414, 1), (1010, 1), (1102, 1), (1131, 1), (1262, 1), (1328, 1), (1627, 1), (1824, 1), (2034, 1), (2428, 1), (4551, 1), (4568, 1), (5677, 1), (5681, 1), (11596, 1), (11951, 1), (12227, 1), (15795, 1), (15796, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 1), (37, 1), (50, 2), (53, 3), (54, 1), (55, 1), (109, 1), (161, 1), (174, 1), (236, 1), (240, 1), (306, 1), (347, 1), (420, 1), (434, 1), (709, 1), (1730, 1), (1732, 1), (2030, 1), (2270, 1), (2731, 1), (3020, 1), (3465, 1), (5250, 1), (7938, 1), (8599, 1), (8786, 1), (9387, 1), (11598, 1), (14403, 1), (15797, 1), (15798, 1), (15799, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (25, 2), (31, 3), (32, 1), (37, 1), (49, 1), (50, 3), (53, 2), (55, 2), (58, 2), (69, 2), (71, 1), (90, 2), (91, 1), (97, 1), (108, 1), (172, 1), (214, 1), (215, 2), (217, 1), (226, 1), (275, 1), (285, 1), (293, 1), (301, 1), (334, 1), (347, 1), (396, 1), (404, 1), (422, 1), (504, 1), (711, 1), (764, 1), (777, 1), (1253, 1), (1282, 1), (1284, 1), (1470, 1), (1886, 1), (2047, 1), (2103, 1), (2744, 1), (3118, 1), (3121, 1), (3658, 1), (3835, 1), (4199, 1), (4592, 1), (5191, 1), (5776, 1), (5917, 1), (6460, 1), (6623, 1), (7533, 1), (7926, 1), (8727, 1), (8957, 1), (10117, 1), (11886, 1), (15800, 1), (15801, 1), (15802, 1), (15803, 1)], [(7, 2), (8, 1), (18, 1), (20, 3), (22, 1), (25, 2), (31, 1), (32, 1), (50, 1), (53, 3), (71, 2), (90, 1), (96, 1), (99, 1), (108, 1), (185, 1), (260, 1), (275, 2), (329, 1), (414, 1), (428, 1), (454, 1), (553, 1), (654, 1), (675, 1), (744, 1), (752, 1), (756, 1), (827, 1), (830, 2), (897, 1), (1024, 1), (1253, 1), (1690, 2), (1856, 1), (2034, 1), (3678, 1), (3752, 1), (3754, 1), (8343, 1), (8747, 1), (8814, 1), (12270, 1), (15799, 1), (15804, 1), (15805, 1), (15806, 1)], [(8, 1), (18, 2), (20, 4), (25, 2), (31, 1), (50, 3), (53, 3), (65, 3), (95, 1), (111, 1), (186, 1), (193, 1), (269, 1), (334, 1), (361, 1), (414, 1), (418, 1), (448, 1), (459, 1), (1010, 1), (1240, 1), (1245, 1), (1248, 1), (1350, 1), (2479, 1), (4282, 1), (6208, 1), (6261, 1), (6358, 1), (7501, 1), (7933, 1), (8535, 1), (8949, 1), (9848, 1), (11855, 1), (13188, 1), (15801, 1), (15807, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (25, 1), (31, 1), (50, 4), (53, 5), (65, 2), (97, 1), (193, 1), (418, 1), (516, 1), (756, 2), (777, 1), (778, 1), (1166, 1), (1253, 1), (1324, 1), (1462, 1), (1552, 1), (1720, 1), (1730, 1), (2034, 1), (2336, 1), (2616, 1), (3540, 1), (4213, 1), (4977, 1), (5051, 1), (5322, 1), (6633, 1), (6896, 1), (6983, 1), (8341, 1), (8535, 1), (8814, 1), (13381, 1), (13597, 1), (13662, 1), (15058, 1), (15763, 1), (15808, 1), (15809, 1), (15810, 1)], [(7, 1), (8, 1), (18, 4), (20, 8), (25, 1), (50, 5), (53, 4), (92, 1), (109, 1), (117, 1), (185, 1), (186, 1), (215, 1), (232, 1), (285, 1), (365, 1), (414, 2), (428, 1), (448, 2), (516, 1), (676, 1), (897, 1), (1010, 1), (1012, 1), (1132, 1), (1322, 1), (1403, 1), (2064, 1), (2071, 1), (2926, 1), (2998, 1), (3161, 1), (3256, 1), (4551, 1), (6129, 1), (6839, 1), (8799, 1), (9646, 1), (9831, 1), (11018, 1), (12123, 1), (12125, 1), (13742, 1), (14222, 1), (15437, 1), (15811, 1), (15812, 1), (15813, 1), (15814, 1), (15815, 1), (15816, 1)], [(8, 1), (19, 1), (20, 6), (22, 2), (25, 2), (31, 4), (32, 1), (37, 1), (50, 2), (53, 4), (90, 1), (92, 1), (124, 1), (185, 1), (187, 1), (209, 1), (256, 1), (260, 1), (269, 1), (281, 1), (293, 1), (414, 1), (450, 3), (484, 1), (531, 1), (587, 1), (679, 1), (776, 1), (792, 1), (1043, 1), (1462, 1), (1470, 1), (1626, 1), (1702, 1), (1809, 1), (2184, 1), (2246, 1), (2611, 1), (2655, 1), (3127, 1), (3391, 1), (3865, 1), (5655, 1), (5923, 1), (6055, 1), (6089, 1), (7115, 1), (7322, 1), (8266, 1), (11257, 1), (11424, 1), (11598, 1), (13008, 1), (13504, 1), (13835, 1), (15807, 1), (15817, 1), (15818, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (37, 1), (50, 1), (53, 3), (91, 1), (109, 1), (337, 1), (450, 2), (752, 1), (775, 1), (913, 1), (1313, 1), (1481, 1), (1824, 1), (5312, 1), (5496, 1), (6129, 1), (6917, 1), (12662, 1), (14403, 1), (15819, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (50, 3), (53, 4), (82, 1), (90, 1), (92, 1), (206, 1), (285, 1), (347, 1), (428, 1), (450, 1), (518, 1), (587, 1), (597, 1), (711, 1), (754, 1), (869, 1), (884, 1), (1237, 1), (1308, 2), (1520, 1), (2819, 1), (2978, 1), (4702, 1), (6205, 1), (8112, 1), (8799, 1), (11139, 1), (15752, 1), (15820, 1)], [(1, 1), (4, 1), (20, 3), (31, 2), (50, 1), (53, 3), (65, 1), (71, 1), (82, 1), (90, 1), (166, 1), (247, 1), (323, 1), (331, 1), (490, 1), (516, 1), (601, 1), (679, 1), (778, 1), (1377, 1), (1771, 1), (2145, 1), (4175, 1), (5529, 1), (6180, 1), (6625, 1), (7355, 1), (7740, 1), (14535, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (31, 1), (50, 2), (53, 1), (54, 1), (55, 1), (65, 2), (84, 1), (206, 1), (241, 1), (307, 1), (414, 1), (419, 1), (420, 1), (434, 1), (752, 2), (824, 1), (1229, 1), (1602, 1), (1901, 1), (2030, 1), (2228, 1), (2543, 1), (3487, 1), (3594, 1), (3746, 1), (6917, 1), (8053, 1), (8103, 1), (10803, 2), (12433, 1)], [(8, 1), (19, 1), (20, 1), (31, 2), (53, 1), (84, 2), (419, 1), (1626, 1), (2265, 1), (11018, 1), (11107, 1), (15821, 1), (15822, 1)], [(8, 1), (20, 2), (22, 2), (25, 2), (50, 2), (53, 2), (82, 1), (108, 1), (122, 1), (187, 1), (287, 1), (293, 1), (516, 1), (654, 1), (676, 1), (702, 1), (711, 2), (778, 1), (792, 1), (903, 1), (1308, 1), (1730, 1), (1901, 1), (2100, 1), (3419, 1), (4659, 1), (6983, 1), (8541, 1), (8957, 1), (12391, 1), (14234, 1), (15823, 1)], [(19, 1), (20, 6), (25, 3), (31, 1), (45, 2), (53, 1), (64, 1), (65, 1), (185, 1), (193, 1), (328, 1), (337, 1), (434, 1), (949, 1), (1178, 1), (1668, 1), (1902, 1), (2482, 1), (3064, 1), (3914, 1), (4048, 1), (5921, 1), (6315, 1), (7016, 1), (7283, 1), (7380, 1), (8337, 1), (11344, 1), (12109, 1), (14079, 1), (14762, 1), (15824, 1)], [(8, 1), (19, 1), (20, 3), (31, 1), (32, 1), (53, 3), (65, 1), (108, 1), (172, 1), (174, 1), (186, 1), (206, 1), (209, 1), (278, 1), (450, 1), (459, 1), (504, 1), (686, 1), (743, 1), (777, 1), (885, 1), (890, 1), (1057, 1), (1509, 1), (2627, 1), (2731, 1), (3199, 1), (3425, 1), (6129, 1), (8810, 1), (11240, 1), (11464, 1), (11598, 1), (15825, 1)], [(8, 1), (18, 1), (19, 3), (20, 3), (22, 1), (25, 1), (31, 2), (50, 1), (53, 1), (54, 1), (55, 1), (65, 1), (90, 1), (175, 1), (206, 1), (229, 1), (288, 1), (301, 1), (414, 1), (420, 1), (452, 1), (459, 1), (711, 1), (754, 1), (795, 1), (851, 1), (1159, 3), (1262, 1), (1509, 1), (1932, 1), (2253, 1), (2789, 1), (3425, 1), (5996, 1), (6129, 1), (6206, 1), (8138, 1), (13130, 1), (14760, 1), (14762, 1), (15826, 1), (15827, 1), (15828, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (25, 2), (30, 1), (31, 2), (45, 2), (53, 5), (55, 1), (65, 2), (173, 1), (209, 1), (215, 1), (269, 1), (337, 1), (413, 1), (448, 1), (744, 1), (767, 1), (903, 1), (967, 1), (990, 1), (1069, 1), (1462, 1), (1487, 1), (2064, 1), (2305, 1), (2482, 1), (2751, 1), (5896, 1), (6205, 1), (6315, 1), (9154, 1), (10657, 1), (10891, 1)], [(8, 1), (18, 1), (19, 3), (20, 7), (22, 1), (25, 6), (27, 1), (30, 2), (31, 1), (32, 1), (37, 1), (45, 3), (50, 2), (53, 6), (54, 3), (55, 1), (58, 1), (82, 1), (90, 5), (92, 3), (97, 1), (109, 1), (117, 1), (173, 2), (206, 1), (217, 1), (225, 1), (232, 1), (256, 1), (281, 1), (288, 1), (331, 1), (337, 1), (347, 1), (387, 1), (414, 1), (420, 2), (448, 1), (450, 1), (459, 1), (516, 1), (654, 1), (709, 1), (799, 2), (827, 2), (897, 1), (922, 1), (967, 1), (1041, 1), (1131, 1), (1308, 1), (1600, 1), (1656, 1), (1840, 1), (1902, 1), (2019, 1), (2168, 1), (2184, 1), (2188, 1), (2324, 1), (2333, 1), (2401, 1), (2479, 1), (2862, 1), (3316, 1), (3318, 1), (3743, 1), (3899, 1), (4326, 1), (4796, 1), (5053, 1), (5199, 1), (5716, 1), (5784, 1), (6205, 1), (6315, 1), (6623, 1), (6650, 1), (7039, 1), (7404, 1), (7913, 1), (10891, 1), (10892, 1), (11018, 1), (11251, 1), (11790, 1), (14403, 1), (14507, 1), (15295, 1), (15817, 1), (15829, 1), (15830, 1), (15831, 1)], [(7, 1), (8, 1), (19, 2), (20, 5), (22, 2), (25, 2), (50, 1), (53, 11), (90, 2), (124, 1), (187, 1), (193, 2), (206, 1), (217, 1), (281, 3), (293, 1), (301, 1), (337, 1), (347, 2), (414, 1), (420, 1), (452, 1), (516, 1), (632, 1), (709, 2), (775, 1), (833, 1), (897, 1), (903, 1), (967, 1), (1131, 1), (1506, 1), (1520, 1), (1528, 1), (2070, 1), (2340, 1), (2344, 2), (2400, 1), (2542, 1), (2789, 1), (3132, 1), (3146, 2), (3733, 1), (4048, 1), (4488, 1), (4652, 1), (4838, 1), (5486, 1), (6129, 1), (6602, 1), (10728, 1), (14495, 1), (15142, 1), (15147, 1), (15832, 1), (15833, 1), (15834, 1)], [(8, 1), (19, 2), (20, 2), (22, 2), (25, 1), (31, 1), (32, 1), (50, 1), (53, 5), (54, 1), (91, 1), (98, 1), (187, 1), (193, 1), (301, 1), (406, 1), (414, 1), (450, 1), (709, 1), (711, 1), (754, 1), (903, 1), (913, 1), (1229, 1), (1324, 1), (1602, 1), (1702, 1), (2019, 1), (2246, 1), (2680, 1), (4616, 1), (5559, 1), (13833, 1), (15205, 1)], [(7, 1), (8, 1), (18, 1), (20, 5), (25, 2), (31, 2), (37, 1), (50, 3), (53, 3), (55, 1), (90, 2), (91, 1), (215, 1), (268, 1), (293, 1), (301, 1), (337, 1), (414, 1), (448, 1), (450, 2), (459, 1), (516, 1), (676, 1), (688, 1), (711, 1), (756, 1), (792, 1), (833, 1), (1026, 1), (1102, 1), (1248, 1), (1253, 1), (1458, 1), (1626, 1), (1824, 1), (1932, 2), (2304, 1), (2353, 1), (2553, 1), (2615, 1), (2986, 1), (3553, 1), (4793, 1), (6791, 1), (9257, 1), (9453, 1), (9848, 1), (11084, 1), (13140, 1), (13784, 1), (15295, 1), (15835, 1), (15836, 1), (15837, 1), (15838, 1), (15839, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (25, 2), (31, 1), (32, 1), (50, 2), (53, 6), (58, 1), (65, 1), (69, 1), (77, 1), (84, 1), (90, 2), (95, 1), (97, 1), (117, 1), (173, 1), (187, 1), (193, 1), (273, 1), (337, 1), (399, 1), (419, 1), (420, 2), (459, 2), (711, 2), (778, 1), (940, 1), (1487, 1), (1624, 1), (1665, 1), (1909, 1), (2183, 1), (2253, 1), (2344, 1), (2370, 1), (2847, 1), (3352, 1), (3590, 1), (3726, 1), (5018, 1), (5467, 1), (7839, 1), (9703, 1), (10422, 1), (11871, 1), (13383, 1), (14728, 1), (15767, 1), (15840, 1), (15841, 1), (15842, 1), (15843, 1), (15844, 1)], [(8, 1), (20, 2), (22, 1), (24, 1), (25, 2), (31, 3), (32, 1), (53, 1), (55, 2), (97, 1), (117, 1), (186, 1), (217, 1), (269, 1), (347, 1), (394, 1), (459, 1), (516, 1), (679, 1), (711, 2), (903, 1), (1070, 1), (1582, 1), (1764, 1), (2716, 1), (3221, 1), (4149, 1), (4694, 1), (5744, 1), (6602, 1), (7043, 1), (9563, 1), (9953, 1), (11408, 1), (12190, 1), (13100, 1), (15845, 1), (15846, 1)], [(7, 1), (8, 1), (20, 3), (25, 2), (31, 1), (37, 1), (50, 1), (359, 1), (450, 2), (587, 1), (602, 1), (679, 1), (711, 1), (1485, 1), (1750, 1), (2336, 1), (4148, 1), (5735, 1), (5941, 1), (8973, 1), (12102, 1), (15248, 1), (15541, 1), (15847, 1), (15848, 1), (15849, 1)], [(7, 1), (8, 1), (20, 3), (50, 1), (53, 1), (54, 1), (58, 1), (65, 1), (106, 1), (124, 1), (215, 1), (323, 1), (355, 1), (365, 1), (414, 1), (450, 1), (459, 1), (516, 1), (680, 1), (834, 1), (1702, 1), (2190, 1), (2673, 1), (2819, 1), (3419, 1), (5913, 1), (7874, 1), (15323, 1), (15850, 1), (15851, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (50, 1), (53, 1), (82, 1), (166, 1), (172, 1), (206, 1), (217, 1), (256, 1), (711, 1), (744, 1), (777, 1), (939, 1), (1066, 1), (1135, 1), (1248, 1), (1384, 1), (1733, 1), (1961, 1), (7344, 1), (7874, 1), (8529, 1), (10049, 1), (10730, 1), (15852, 1), (15853, 1)], [(8, 1), (37, 1), (50, 1), (69, 1), (77, 1), (185, 1), (301, 1), (670, 1), (10639, 1), (11349, 1), (15854, 1), (15855, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (50, 2), (53, 2), (65, 1), (172, 1), (307, 1), (329, 1), (1457, 1), (1690, 1), (2117, 1), (3978, 1), (5082, 1), (8143, 1), (9418, 1), (13549, 1), (15437, 1), (15856, 1), (15857, 1)], [(8, 1), (18, 1), (19, 1), (20, 10), (25, 1), (31, 1), (37, 1), (50, 2), (53, 3), (65, 1), (108, 1), (117, 1), (190, 1), (193, 1), (232, 1), (278, 1), (288, 1), (329, 1), (415, 1), (420, 1), (711, 1), (983, 1), (999, 1), (1129, 1), (2549, 1), (2693, 1), (3997, 1), (3999, 1), (4325, 1), (4932, 1), (4937, 1), (10731, 1), (10997, 1), (12201, 1), (12202, 1), (13097, 1), (14562, 1), (15778, 1), (15858, 1), (15859, 1), (15860, 1), (15861, 1)], [(7, 1), (8, 1), (20, 3), (50, 3), (53, 4), (77, 2), (82, 1), (97, 1), (108, 1), (161, 1), (168, 1), (187, 1), (193, 1), (268, 1), (307, 1), (328, 1), (434, 1), (600, 1), (3873, 1), (4299, 1), (5518, 1), (5734, 1), (5913, 1), (8123, 1), (12638, 1), (13050, 1), (15842, 1), (15862, 1), (15863, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (31, 2), (50, 1), (53, 2), (58, 1), (71, 1), (77, 1), (90, 1), (187, 1), (215, 2), (217, 1), (225, 1), (228, 1), (233, 1), (256, 1), (269, 1), (459, 1), (582, 1), (1133, 1), (1824, 1), (1911, 1), (2117, 1), (2184, 1), (2985, 1), (3129, 1), (3849, 1), (5169, 1), (6962, 1), (8482, 1), (12540, 1), (15295, 1)], [(8, 1), (20, 2), (31, 1), (50, 1), (53, 3), (77, 1), (95, 1), (108, 1), (193, 1), (209, 1), (269, 1), (316, 1), (414, 1), (448, 1), (776, 1), (834, 1), (913, 1), (1129, 1), (1339, 1), (2757, 1), (7437, 1), (9387, 1), (13525, 1), (15864, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (29, 1), (31, 1), (50, 1), (53, 3), (54, 1), (55, 1), (74, 1), (84, 1), (108, 1), (117, 2), (232, 1), (359, 1), (410, 1), (434, 1), (516, 1), (897, 1), (1248, 1), (1324, 1), (1342, 1), (1720, 1), (2259, 1), (2365, 1), (2402, 1), (2432, 1), (2456, 1), (2729, 1), (3022, 1), (3025, 1), (3480, 1), (3614, 1), (6231, 1), (13120, 1), (15295, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (25, 1), (31, 1), (50, 3), (53, 4), (58, 1), (69, 1), (77, 2), (95, 1), (111, 1), (124, 2), (268, 1), (269, 1), (414, 1), (744, 2), (1160, 1), (1477, 1), (1487, 1), (1596, 1), (1747, 1), (1824, 1), (2029, 1), (2117, 1), (2120, 1), (2785, 1), (3842, 1), (4073, 1), (4179, 1), (4296, 1), (5655, 1), (6724, 1), (7880, 1), (15865, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 2), (31, 1), (53, 2), (99, 2), (215, 1), (286, 1), (381, 1), (428, 1), (505, 1), (1308, 1), (1339, 1), (1878, 2), (2789, 1), (4894, 1), (6845, 1), (8201, 1), (10304, 1), (11297, 1), (11433, 1), (15866, 1), (15867, 1)], [(7, 3), (8, 1), (18, 3), (19, 4), (20, 7), (22, 2), (25, 5), (30, 1), (31, 3), (37, 1), (50, 2), (53, 4), (54, 1), (58, 1), (65, 1), (71, 1), (82, 1), (84, 1), (90, 1), (92, 1), (95, 1), (96, 1), (193, 1), (209, 1), (215, 3), (347, 1), (365, 1), (373, 1), (410, 1), (414, 1), (419, 2), (432, 1), (434, 1), (450, 1), (504, 1), (516, 1), (670, 1), (709, 1), (778, 1), (830, 1), (1377, 1), (1416, 1), (1462, 1), (1651, 1), (1703, 1), (1768, 1), (1820, 1), (2018, 1), (2322, 1), (2734, 1), (3095, 1), (3356, 1), (3860, 1), (4117, 1), (4616, 1), (4619, 1), (4851, 1), (5896, 1), (6116, 1), (6346, 1), (6545, 1), (6737, 1), (7034, 1), (9116, 1), (10189, 1), (11314, 1), (11538, 1), (11598, 1), (12140, 1), (12464, 1), (14374, 1), (14723, 1), (15868, 1), (15869, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 7), (22, 2), (31, 3), (32, 2), (37, 1), (50, 1), (53, 2), (54, 1), (75, 1), (82, 1), (84, 2), (85, 1), (90, 1), (108, 1), (109, 2), (166, 1), (173, 1), (174, 1), (185, 1), (186, 1), (187, 1), (188, 1), (246, 1), (268, 1), (301, 1), (328, 1), (381, 1), (434, 1), (459, 1), (697, 1), (708, 1), (885, 1), (1324, 1), (1342, 2), (1379, 1), (1414, 1), (1430, 1), (1485, 1), (1529, 1), (2296, 1), (3149, 1), (3264, 1), (3614, 1), (4282, 1), (4575, 1), (4790, 1), (4901, 1), (4966, 1), (5100, 1), (5496, 1), (6231, 1), (7286, 1), (7506, 1), (9524, 1), (11790, 1), (15870, 1), (15871, 1), (15872, 1), (15873, 1)], [(8, 1), (20, 1), (32, 1), (53, 1), (54, 1), (55, 1), (253, 1), (450, 1), (459, 1), (1102, 1), (1929, 1), (3043, 1), (3301, 1), (12159, 1), (14726, 1), (15874, 1), (15875, 1)], [(8, 1), (19, 1), (50, 1), (53, 2), (530, 1), (841, 1), (1596, 1), (2245, 1), (4972, 1), (5159, 1)], [(20, 1), (50, 1), (53, 1), (64, 1), (697, 1), (1178, 1), (1905, 1), (6610, 1)], [(8, 1), (18, 2), (19, 3), (20, 2), (25, 1), (50, 1), (53, 1), (90, 1), (108, 1), (269, 1), (334, 1), (434, 1), (531, 1), (1570, 1), (2925, 1), (3594, 1), (4563, 1), (5384, 1), (5497, 1), (8923, 1), (13302, 1), (15876, 1)], [(20, 1), (55, 1), (64, 1), (310, 1), (324, 1), (328, 1), (623, 1), (1178, 1), (6339, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (45, 1), (55, 1), (65, 1), (84, 1), (97, 1), (229, 1), (516, 1), (688, 1), (903, 1), (1302, 1), (1377, 1), (2077, 1), (2265, 1), (2925, 1), (3177, 1), (9930, 1), (11958, 1), (15877, 1)], [(7, 1), (8, 1), (20, 2), (53, 1), (72, 1), (526, 1), (914, 1), (1361, 1), (2849, 1), (3495, 1), (6137, 1), (6385, 1), (9683, 1), (9719, 1), (12323, 1), (15878, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (22, 1), (25, 1), (31, 1), (50, 5), (53, 3), (58, 1), (71, 1), (77, 1), (90, 1), (117, 1), (185, 1), (193, 1), (214, 1), (232, 1), (293, 1), (329, 1), (406, 1), (415, 2), (424, 1), (581, 1), (711, 1), (827, 1), (897, 1), (924, 1), (947, 1), (970, 1), (1129, 1), (1239, 2), (1349, 1), (1416, 1), (1937, 1), (2259, 1), (2290, 1), (2336, 1), (2862, 1), (3397, 1), (4709, 1), (5564, 1), (6737, 1), (9036, 1), (9239, 1), (11510, 1), (13927, 1), (15792, 1), (15879, 1)], [(8, 1), (77, 2), (90, 1), (122, 1), (185, 1), (187, 1), (399, 1), (2839, 1), (5159, 1), (15842, 1), (15880, 1)], [(8, 1), (20, 1), (99, 2), (124, 1), (187, 1), (193, 1), (214, 1), (269, 1), (286, 1), (581, 1), (688, 1), (833, 1), (897, 1), (1122, 1), (1342, 1), (1733, 1), (2253, 1)], [(8, 1), (20, 2), (22, 1), (37, 1), (82, 1), (99, 3), (187, 1), (197, 1), (203, 1), (214, 1), (301, 1), (361, 1), (581, 1), (810, 1), (830, 1), (897, 1), (1529, 1), (6213, 1), (7442, 1)], [(8, 1), (20, 2), (37, 1), (71, 1), (90, 1), (91, 2), (99, 2), (193, 2), (203, 1), (293, 1), (324, 1), (331, 1), (461, 1), (504, 1), (581, 1), (711, 1), (776, 1), (810, 1), (1072, 1), (2523, 1), (11063, 1), (13076, 1)], [(8, 1), (20, 2), (53, 1), (58, 1), (77, 1), (90, 1), (193, 1), (206, 1), (428, 1), (516, 1), (2744, 1), (3036, 1), (5526, 1), (15880, 1), (15881, 1)], [(8, 1), (50, 1), (54, 1), (55, 1), (91, 1), (373, 1), (1248, 1), (3295, 1), (6019, 1)], [(7, 1), (8, 1), (20, 2), (24, 1), (25, 2), (50, 1), (53, 3), (187, 1), (419, 1), (459, 1), (708, 1), (726, 1), (763, 1), (898, 1), (1259, 1), (2077, 1), (3025, 1), (3480, 1), (9743, 1), (9747, 1), (10140, 1), (15880, 1), (15882, 1), (15883, 1)], [(8, 1), (25, 1), (53, 1), (55, 1), (459, 1), (516, 1), (530, 1), (1459, 1), (13047, 1), (13188, 1), (15884, 1)], [(8, 1), (20, 4), (25, 2), (30, 1), (31, 3), (50, 3), (53, 8), (58, 3), (85, 1), (109, 1), (117, 1), (215, 1), (232, 1), (269, 1), (281, 1), (301, 1), (373, 2), (531, 1), (774, 1), (1324, 1), (1487, 2), (1570, 1), (2039, 1), (2457, 1), (2795, 1), (2850, 1), (3146, 1), (3356, 1), (3379, 1), (3696, 1), (3963, 1), (4251, 1), (4442, 1), (5564, 1), (9059, 1), (9149, 1), (12017, 1), (15885, 1)], [(8, 1), (20, 2), (25, 2), (31, 2), (53, 4), (108, 1), (111, 1), (193, 1), (256, 1), (293, 1), (365, 1), (418, 1), (419, 1), (426, 1), (432, 1), (574, 1), (866, 1), (1248, 1), (1342, 1), (1549, 1), (2479, 1), (2753, 1), (3247, 1), (9703, 1), (14928, 1), (15844, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (25, 1), (50, 1), (53, 3), (58, 1), (65, 1), (82, 1), (84, 1), (90, 2), (95, 1), (109, 1), (117, 1), (122, 1), (206, 1), (215, 2), (217, 1), (232, 1), (347, 1), (419, 2), (428, 1), (459, 1), (560, 1), (697, 1), (903, 1), (1475, 1), (1702, 1), (2348, 1), (2718, 1), (2772, 2), (2895, 1), (3134, 1), (5018, 1), (5936, 1), (6413, 1), (7955, 1), (8482, 1), (13823, 1), (14185, 1), (15295, 1), (15886, 1), (15887, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (29, 1), (45, 1), (50, 2), (53, 5), (55, 1), (85, 1), (90, 1), (95, 1), (109, 1), (187, 1), (193, 1), (215, 1), (241, 1), (347, 1), (418, 1), (419, 2), (420, 1), (428, 2), (448, 1), (504, 1), (897, 1), (898, 1), (1339, 1), (1791, 1), (2036, 1), (2259, 1), (2344, 1), (3379, 1), (3751, 1), (3791, 1), (4178, 1), (4286, 1), (5420, 1), (6411, 1), (7040, 1), (10040, 1), (10698, 1), (10699, 1), (12063, 1), (15888, 1), (15889, 1), (15890, 1)], [(8, 1), (20, 1), (31, 1), (53, 3), (82, 1), (187, 1), (256, 1), (325, 1), (459, 1), (1045, 1), (2030, 1), (2036, 1), (3331, 1), (12167, 1), (12498, 1), (14263, 1)], [(7, 2), (8, 1), (18, 1), (20, 2), (31, 1), (45, 1), (53, 3), (65, 1), (72, 1), (90, 1), (95, 1), (124, 1), (185, 1), (359, 1), (365, 1), (516, 1), (708, 1), (976, 1), (1480, 1), (2139, 1), (2453, 1), (2739, 1), (3432, 1), (3943, 1), (5015, 1), (8219, 1), (8221, 1), (8923, 1), (15302, 1), (15891, 1)], [(8, 1), (20, 1), (29, 1), (31, 1), (32, 1), (50, 1), (53, 1), (90, 1), (97, 1), (193, 1), (197, 1), (273, 1), (419, 1), (459, 1), (580, 1), (711, 1), (1778, 1), (4695, 1), (5018, 1), (9847, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (25, 4), (31, 3), (50, 3), (53, 4), (65, 2), (90, 1), (111, 1), (115, 1), (170, 1), (172, 2), (187, 1), (293, 2), (331, 1), (414, 1), (419, 1), (450, 1), (456, 1), (516, 1), (601, 1), (726, 1), (777, 1), (1122, 3), (1129, 1), (1245, 1), (1702, 1), (1760, 1), (1764, 1), (2025, 2), (2290, 1), (2620, 1), (3149, 1), (3731, 1), (3739, 1), (4801, 1), (5491, 1), (5793, 1), (11018, 1), (11076, 1), (11781, 1), (11803, 1), (12095, 1), (12366, 1), (13648, 1), (15178, 1), (15248, 1), (15784, 1), (15892, 1), (15893, 1), (15894, 1)], [(8, 1), (19, 1), (20, 2), (50, 4), (53, 4), (54, 1), (123, 1), (124, 1), (187, 1), (193, 1), (268, 1), (434, 1), (687, 1), (1450, 1), (4296, 1), (4769, 1), (4865, 1), (5081, 1), (8930, 1), (12751, 1), (13866, 1), (13905, 1), (15295, 1), (15895, 1), (15896, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (31, 3), (53, 2), (90, 2), (108, 1), (186, 1), (203, 1), (347, 1), (434, 3), (672, 1), (751, 1), (902, 1), (1308, 1), (2343, 1), (2688, 2), (5404, 1), (9467, 1), (15897, 1), (15898, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (25, 2), (50, 2), (53, 3), (185, 1), (193, 1), (419, 1), (453, 1), (459, 1), (1128, 1), (2611, 1), (3121, 1), (4189, 1), (7858, 1), (8799, 1), (9767, 1), (10698, 1), (14139, 1), (15899, 1), (15900, 1), (15901, 1)], [(7, 1), (8, 1), (20, 5), (25, 1), (31, 1), (50, 3), (53, 6), (111, 1), (161, 1), (172, 1), (185, 1), (193, 2), (202, 1), (203, 1), (269, 1), (346, 1), (418, 1), (834, 1), (1240, 1), (1248, 1), (1270, 1), (2036, 2), (2148, 1), (2985, 1), (3700, 1), (3731, 1), (4453, 1), (5191, 1), (5368, 1), (5560, 1), (6155, 1), (7385, 1), (9793, 1), (10623, 1), (11349, 1), (14609, 1), (15248, 2), (15893, 1), (15902, 2)], [(8, 1), (18, 2), (21, 2), (50, 1), (53, 2), (69, 1), (71, 2), (84, 1), (90, 1), (109, 2), (161, 1), (186, 1), (193, 1), (373, 1), (601, 2), (744, 2), (903, 1), (1102, 1), (1342, 1), (2359, 1), (2366, 1), (2642, 1), (2785, 1), (2914, 1), (4822, 1), (4980, 1), (6358, 1), (10145, 1), (11855, 1), (15541, 1)], [(8, 1), (18, 2), (19, 1), (20, 8), (21, 2), (22, 3), (23, 1), (25, 6), (31, 1), (32, 1), (50, 3), (53, 6), (54, 1), (58, 2), (82, 1), (84, 1), (91, 1), (97, 1), (109, 2), (111, 2), (172, 1), (185, 2), (186, 1), (187, 1), (193, 1), (197, 1), (201, 1), (206, 1), (215, 2), (217, 2), (293, 1), (347, 2), (373, 1), (504, 2), (697, 1), (827, 1), (830, 1), (863, 1), (897, 1), (919, 1), (1041, 1), (1270, 1), (1475, 1), (1702, 1), (1733, 1), (1877, 1), (2016, 1), (2225, 1), (2235, 1), (2347, 1), (3237, 1), (3661, 1), (3678, 1), (4231, 1), (4694, 1), (4739, 1), (4746, 1), (4851, 1), (5735, 1), (5816, 1), (7141, 1), (7520, 1), (7874, 1), (8065, 1), (8797, 1), (10040, 1), (10698, 1), (11174, 1), (13380, 1), (14139, 1), (14380, 1), (14502, 1), (15295, 1), (15900, 1), (15903, 1), (15904, 1), (15905, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (58, 1), (69, 1), (84, 1), (90, 1), (91, 2), (186, 1), (237, 1), (347, 1), (426, 1), (434, 1), (448, 1), (551, 1), (711, 1), (903, 1), (970, 1), (1057, 1), (1122, 1), (1856, 1), (2086, 1), (3578, 1), (5419, 1), (12169, 1), (15906, 1), (15907, 1)], [(8, 1), (20, 1), (22, 2), (45, 1), (50, 1), (53, 2), (55, 1), (58, 1), (108, 1), (109, 1), (256, 1), (450, 2), (1342, 1), (1379, 1), (2980, 1), (3614, 1), (5533, 1), (5793, 1), (7286, 1), (7718, 1), (11880, 1), (15067, 1), (15908, 1), (15909, 1)], [(8, 1), (20, 1), (25, 1), (53, 2), (56, 2), (84, 1), (185, 1), (215, 1), (261, 1), (281, 1), (301, 1), (419, 1), (632, 1), (777, 1), (1071, 1), (1348, 1), (1702, 1), (2265, 1), (2707, 1), (3040, 1), (3118, 1), (5816, 1), (8923, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 2), (53, 3), (90, 1), (187, 1), (286, 1), (450, 1), (834, 2), (903, 1), (1259, 1), (1600, 1), (2190, 1), (2986, 1), (4210, 1), (5496, 1), (5607, 1), (8398, 1), (8912, 1), (10241, 2), (15910, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 2), (23, 1), (24, 1), (25, 3), (31, 1), (50, 2), (53, 3), (54, 1), (65, 1), (71, 1), (82, 1), (109, 1), (172, 1), (186, 1), (187, 1), (190, 1), (193, 2), (206, 1), (215, 4), (256, 2), (260, 1), (281, 1), (293, 1), (418, 1), (419, 1), (433, 1), (434, 2), (448, 1), (450, 1), (459, 1), (504, 2), (558, 1), (792, 1), (1324, 1), (1342, 1), (1430, 1), (1467, 1), (1470, 1), (1478, 1), (1529, 2), (1571, 1), (1668, 1), (1686, 1), (1695, 1), (1702, 1), (1824, 1), (1902, 1), (1937, 1), (2235, 1), (2693, 1), (3177, 1), (3424, 1), (3542, 1), (3901, 1), (4142, 1), (5339, 1), (5583, 1), (5996, 1), (6466, 1), (9859, 1), (9870, 1), (10680, 1), (10698, 1), (14112, 1), (15911, 1), (15912, 1), (15913, 1), (15914, 1), (15915, 1)], [(8, 1), (20, 1), (53, 1), (414, 1), (432, 1), (434, 1), (441, 1), (450, 1), (903, 1), (1638, 1), (3305, 1), (10241, 1), (12228, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (31, 2), (50, 1), (51, 1), (52, 1), (90, 1), (109, 1), (172, 1), (206, 1), (336, 1), (361, 1), (406, 1), (448, 2), (462, 1), (526, 1), (601, 1), (704, 2), (884, 1), (903, 1), (3670, 1), (5201, 1), (8912, 1), (14112, 1), (15916, 1), (15917, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 2), (25, 1), (26, 1), (31, 1), (36, 1), (37, 1), (45, 1), (53, 3), (54, 1), (58, 1), (90, 1), (95, 1), (108, 1), (109, 1), (117, 1), (215, 1), (232, 1), (293, 1), (347, 1), (516, 1), (623, 1), (706, 1), (884, 1), (903, 1), (1102, 1), (1139, 1), (1328, 1), (1815, 1), (1824, 2), (2667, 1), (2680, 1), (2855, 1), (3803, 1), (3919, 1), (5233, 1), (5378, 1), (5453, 1), (5667, 1), (7307, 1), (15918, 1), (15919, 1), (15920, 1), (15921, 1), (15922, 1)], [(8, 1), (18, 1), (20, 2), (24, 1), (25, 1), (45, 1), (50, 2), (53, 2), (65, 1), (109, 1), (117, 1), (232, 1), (632, 1), (1474, 1), (1702, 1), (2137, 1), (2216, 1), (2514, 1), (2972, 1), (3264, 1), (3479, 1), (3494, 1), (4034, 1), (8154, 1), (9161, 1), (9179, 1), (11973, 1), (14566, 1), (15923, 1)], [(64, 1), (247, 1), (11454, 1)], [(1178, 1), (1239, 1)], [(20, 1), (22, 1), (30, 1), (53, 1), (64, 1), (247, 1), (777, 1), (1695, 1), (2925, 1), (3614, 1), (4941, 1), (11958, 1)], [(30, 2), (247, 1), (1239, 1), (2010, 1), (3786, 1), (4941, 1)], [(20, 1), (22, 1), (95, 1), (269, 2), (884, 1), (1178, 1), (1349, 1), (1477, 1), (1683, 1), (2010, 1), (3269, 1)], [(20, 1), (64, 1), (295, 1), (596, 1), (645, 1), (946, 1), (15924, 1)], [(8, 1), (2925, 1), (7286, 1)], [(8, 1), (20, 1), (64, 1), (65, 1), (226, 1), (233, 1), (310, 1), (1137, 1), (1163, 1), (1670, 1), (3602, 1), (3614, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 2), (25, 2), (32, 1), (50, 4), (53, 6), (85, 1), (90, 1), (95, 1), (97, 1), (109, 1), (173, 1), (174, 1), (186, 1), (209, 1), (210, 1), (215, 1), (225, 1), (293, 1), (337, 1), (338, 1), (420, 1), (433, 1), (726, 1), (903, 1), (1010, 1), (1041, 1), (1239, 1), (1458, 1), (1540, 1), (1702, 1), (2235, 1), (2456, 1), (2997, 1), (4968, 1), (5012, 1), (5092, 1), (6983, 1), (7114, 1), (7286, 1), (7896, 1), (10686, 1), (11714, 1), (12123, 1), (13126, 1), (13367, 1), (13867, 1), (15925, 1), (15926, 1), (15927, 1), (15928, 1), (15929, 1), (15930, 1)], [(8, 1), (20, 4), (31, 1), (50, 1), (53, 5), (55, 2), (77, 1), (90, 1), (185, 1), (269, 1), (293, 1), (908, 1), (1118, 1), (1239, 1), (2253, 1), (2862, 1), (3227, 1), (5453, 1), (5750, 1), (6211, 1), (6252, 1), (6416, 1), (6771, 1), (6844, 1), (7880, 1), (15927, 1), (15931, 1)], [(8, 1), (19, 1), (31, 1), (50, 2), (53, 2), (185, 1), (434, 1), (518, 1), (757, 1), (903, 1), (4365, 1), (9847, 1), (10681, 1), (13818, 1), (15932, 1)], [(8, 1), (31, 1), (53, 1), (210, 1), (338, 1), (726, 1), (751, 1), (2235, 1), (12341, 1)], [(7742, 1)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 6), (22, 3), (24, 1), (25, 1), (31, 2), (37, 2), (46, 1), (50, 2), (53, 3), (55, 1), (71, 1), (74, 1), (90, 1), (95, 1), (97, 1), (108, 1), (109, 1), (193, 3), (210, 1), (215, 1), (256, 3), (269, 2), (310, 1), (337, 1), (407, 1), (414, 1), (415, 2), (418, 1), (448, 1), (531, 1), (632, 1), (753, 1), (830, 1), (904, 1), (1102, 1), (1129, 1), (1311, 1), (1342, 1), (1400, 1), (1417, 1), (1520, 1), (2418, 1), (3591, 1), (3752, 1), (4467, 1), (4479, 1), (5298, 1), (5638, 1), (5848, 1), (6213, 1), (6220, 1), (6402, 1), (6424, 1), (7742, 1), (11851, 1), (15915, 1), (15933, 1), (15934, 1), (15935, 1), (15936, 1), (15937, 1), (15938, 1), (15939, 1), (15940, 1), (15941, 1), (15942, 1)], [(7, 2), (8, 1), (18, 1), (20, 1), (25, 1), (31, 1), (53, 3), (95, 1), (108, 1), (117, 2), (206, 1), (214, 1), (232, 2), (365, 1), (687, 1), (703, 1), (1021, 1), (1379, 1), (2137, 1), (3013, 1), (3689, 1), (4128, 1), (5328, 1), (7061, 1), (7760, 1), (8398, 1), (14614, 1), (15943, 1), (15944, 1)], [(7, 1), (8, 1), (22, 2), (24, 1), (25, 1), (55, 1), (58, 2), (77, 1), (217, 1), (225, 1), (240, 1), (452, 1), (601, 1), (645, 1), (1685, 1), (4128, 1), (4167, 1), (5397, 1), (9408, 1), (15945, 1)], [(8, 1), (20, 1), (53, 1), (55, 1), (187, 1), (3013, 1), (5776, 1), (6100, 1), (8385, 1), (12586, 1), (15946, 1), (15947, 1)], [(7, 1), (8, 1), (20, 3), (22, 1), (25, 3), (31, 2), (37, 1), (50, 1), (53, 1), (193, 1), (206, 1), (281, 1), (331, 1), (584, 1), (670, 1), (792, 1), (1102, 1), (1820, 1), (2547, 1), (2611, 1), (4815, 1), (5135, 1), (5247, 2), (5806, 1), (9850, 1), (10586, 1), (10939, 1), (15948, 1), (15949, 1), (15950, 1), (15951, 1), (15952, 1), (15953, 1)], [(8, 1), (20, 3), (22, 1), (23, 2), (25, 2), (31, 2), (40, 1), (50, 3), (53, 1), (108, 1), (260, 1), (293, 1), (301, 1), (310, 1), (328, 1), (338, 2), (506, 2), (580, 1), (621, 1), (827, 1), (1013, 1), (1116, 1), (1122, 1), (1149, 1), (1529, 1), (1580, 1), (1685, 1), (1702, 2), (4353, 1), (4890, 1), (4910, 1), (5586, 1), (6716, 1), (8409, 1), (9419, 1), (10177, 1), (11004, 1), (15954, 1), (15955, 1), (15956, 1), (15957, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (31, 2), (50, 3), (53, 9), (91, 1), (111, 1), (187, 1), (215, 1), (388, 1), (414, 2), (415, 1), (419, 1), (448, 1), (459, 1), (763, 1), (826, 1), (913, 1), (1139, 1), (1238, 1), (1245, 1), (1275, 1), (1702, 1), (1733, 1), (1820, 1), (2047, 1), (2324, 1), (2743, 1), (3467, 1), (3594, 1), (5247, 1), (5851, 1), (5969, 1), (6514, 1), (6845, 1), (7874, 1), (8692, 1), (8799, 1), (11349, 1), (12751, 1), (15958, 1), (15959, 1), (15960, 1)], [(8, 1), (19, 2), (20, 1), (25, 2), (32, 1), (50, 1), (53, 3), (54, 1), (84, 1), (96, 1), (187, 1), (193, 1), (261, 1), (301, 1), (527, 1), (897, 1), (1668, 1), (2344, 1), (3118, 1), (4575, 1), (5896, 1), (7434, 1), (7718, 1), (7912, 1), (15248, 1), (15887, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 3), (25, 1), (30, 1), (45, 1), (53, 1), (58, 1), (65, 1), (77, 1), (95, 1), (111, 1), (122, 1), (124, 1), (215, 1), (275, 1), (420, 1), (459, 1), (623, 1), (833, 1), (1538, 1), (2658, 1), (4082, 1), (4941, 1), (6892, 1), (8876, 1), (14955, 1), (15961, 1), (15962, 1), (15963, 1), (15964, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 1), (58, 1), (65, 2), (77, 2), (97, 1), (108, 1), (122, 1), (626, 1), (1458, 1), (1485, 1), (1540, 1), (3181, 1), (3685, 1), (5733, 1), (6959, 1), (7718, 1), (9239, 1), (14206, 1)], [(8, 1), (10, 1), (11, 1), (20, 7), (22, 1), (25, 1), (30, 1), (31, 2), (32, 1), (50, 3), (53, 7), (54, 1), (55, 1), (58, 1), (82, 1), (95, 1), (109, 1), (126, 1), (173, 2), (185, 1), (193, 1), (215, 2), (256, 1), (347, 1), (373, 1), (399, 1), (419, 1), (516, 1), (573, 1), (574, 1), (599, 1), (903, 1), (1070, 1), (1239, 1), (1324, 1), (1350, 1), (1596, 1), (2259, 1), (2297, 1), (2348, 1), (2523, 1), (2543, 1), (2716, 1), (2971, 1), (3431, 1), (5969, 2), (7437, 1), (7485, 1), (9793, 1), (10730, 1), (12255, 1), (13248, 1), (14706, 1), (15248, 1), (15858, 1), (15965, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (25, 1), (50, 2), (53, 5), (54, 2), (55, 1), (95, 1), (97, 2), (109, 1), (161, 1), (173, 1), (185, 1), (193, 1), (215, 1), (301, 1), (434, 1), (531, 1), (573, 1), (697, 1), (763, 1), (903, 1), (1245, 1), (1393, 1), (1824, 1), (1966, 1), (2179, 1), (2656, 1), (3237, 1), (3658, 1), (7938, 1), (9642, 1), (10787, 1), (10874, 1), (11468, 1), (12488, 1), (15295, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (30, 1), (31, 3), (45, 2), (50, 4), (53, 9), (55, 1), (65, 4), (90, 3), (95, 1), (109, 1), (173, 2), (185, 1), (193, 1), (269, 1), (301, 1), (347, 4), (406, 1), (419, 1), (441, 1), (623, 1), (742, 1), (774, 1), (1081, 1), (1122, 1), (1239, 2), (1312, 1), (1324, 1), (1392, 1), (1529, 1), (1540, 1), (2259, 2), (2632, 1), (2862, 1), (2986, 1), (3685, 2), (4058, 1), (4073, 1), (4272, 1), (4300, 1), (6252, 1), (6353, 1), (7114, 1), (9239, 1), (12185, 1), (13331, 1), (14206, 2), (15931, 1)], [(8, 1), (19, 1), (20, 4), (25, 2), (30, 1), (32, 1), (45, 2), (53, 2), (54, 1), (55, 1), (90, 1), (92, 1), (173, 1), (229, 1), (241, 1), (410, 1), (623, 1), (680, 1), (1375, 1), (1992, 1), (2173, 1), (5734, 1), (6300, 1), (8475, 1), (9149, 1), (13824, 1), (14196, 1), (14206, 1), (15966, 1), (15967, 1)], [(8, 1), (19, 1), (53, 1), (106, 1), (109, 1), (450, 1), (903, 1), (1449, 1), (2141, 1), (2985, 1), (7225, 1), (7917, 1), (8570, 1), (15295, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 3), (22, 3), (25, 4), (31, 3), (50, 1), (53, 6), (65, 1), (84, 1), (109, 1), (124, 3), (187, 2), (215, 1), (305, 1), (415, 1), (504, 1), (661, 1), (884, 1), (897, 1), (1129, 1), (1350, 1), (1392, 1), (2426, 1), (2739, 1), (2911, 3), (3065, 1), (3528, 1), (3583, 1), (4769, 1), (4886, 1), (5058, 1), (5157, 1), (7341, 1), (8580, 1), (9848, 1), (10698, 2), (10743, 1), (13835, 1), (14355, 1), (14502, 1), (15248, 1), (15890, 1), (15968, 1), (15969, 1), (15970, 1), (15971, 1), (15972, 1)], [(8, 1), (20, 1), (53, 1), (54, 1), (174, 1), (580, 1), (1778, 1), (15973, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (31, 2), (50, 2), (53, 3), (54, 1), (65, 1), (126, 1), (186, 2), (187, 1), (215, 1), (269, 1), (281, 1), (334, 1), (420, 1), (426, 1), (450, 1), (504, 1), (516, 1), (897, 1), (904, 1), (1627, 1), (1956, 1), (2030, 1), (2322, 1), (2366, 1), (2440, 1), (2599, 1), (2611, 1), (3700, 1), (5564, 1), (5880, 1), (6284, 1), (7342, 1), (7843, 1), (8018, 1), (8799, 1), (9063, 1), (9516, 1), (10699, 1), (10811, 1), (14473, 1)], [(8, 1), (22, 1), (25, 1), (53, 1), (710, 1), (1931, 1), (3067, 1), (3537, 1), (3614, 1), (3735, 1), (7286, 2)], [(64, 1), (247, 1), (15974, 1)], [(1178, 1), (15974, 1)], [(20, 3), (25, 1), (32, 1), (53, 1), (173, 1), (247, 1), (324, 2), (1198, 1), (2900, 1), (4533, 1), (5360, 1), (6494, 1), (10752, 1), (10753, 1), (12058, 1), (15975, 1)], [(7, 1), (20, 2), (247, 1), (332, 1), (600, 1), (800, 1), (1193, 1)], [(20, 1), (21, 1), (30, 3), (53, 1), (95, 1), (99, 1), (247, 1), (328, 1), (708, 1), (1463, 1), (3614, 1), (3786, 2), (12942, 1), (15976, 1)], [(20, 1), (21, 1), (25, 1), (186, 2), (247, 1), (293, 1), (800, 1), (5331, 1), (7363, 1)], [(20, 2), (21, 2), (22, 1), (91, 1), (450, 1), (600, 2), (812, 1), (1178, 1), (1324, 1), (1594, 1), (2566, 2), (3786, 1), (5793, 1), (7342, 1), (9896, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (32, 1), (37, 1), (54, 1), (78, 1), (174, 1), (256, 1), (373, 1), (418, 1), (450, 1), (587, 1), (2036, 2), (2401, 1), (3111, 1), (4160, 1), (9463, 1), (11788, 1), (15977, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (53, 1), (108, 1), (193, 2), (301, 1), (419, 1), (428, 1), (697, 1), (897, 1), (901, 1), (922, 1), (1342, 1), (1528, 1), (2050, 1), (2265, 1), (2344, 1), (3591, 1), (3827, 1), (4602, 1), (5501, 1), (6239, 1), (7043, 1), (15978, 1)], [(7, 1), (8, 1), (20, 3), (32, 1), (37, 1), (50, 1), (53, 1), (65, 1), (96, 1), (108, 1), (180, 1), (187, 1), (193, 1), (217, 1), (228, 1), (256, 1), (269, 2), (316, 1), (347, 1), (419, 1), (428, 1), (1731, 1), (2344, 1), (2611, 1), (2691, 1), (3359, 1), (3417, 1), (3731, 1), (3751, 1), (4801, 1), (6513, 1), (8475, 1), (11430, 1), (15248, 1), (15979, 1)], [(7, 4), (8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (45, 2), (50, 3), (53, 5), (54, 1), (65, 1), (106, 1), (109, 1), (117, 1), (187, 1), (232, 1), (323, 1), (347, 1), (353, 1), (688, 1), (706, 1), (771, 1), (1010, 1), (1171, 1), (1529, 1), (2340, 1), (2672, 1), (2965, 1), (3264, 1), (3446, 2), (3594, 1), (3614, 1), (4282, 1), (4723, 1), (5125, 1), (6548, 1), (6699, 1), (9149, 1), (11726, 1), (12942, 1), (13805, 1), (15980, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (26, 1), (31, 1), (32, 1), (53, 1), (54, 1), (55, 1), (58, 1), (96, 1), (108, 1), (193, 1), (215, 1), (269, 1), (329, 1), (428, 1), (450, 1), (711, 1), (897, 1), (903, 1), (1392, 1), (1498, 1), (1627, 1), (2027, 1), (2344, 1), (2587, 1), (2919, 1), (3842, 1), (4718, 1), (4827, 1), (5018, 1), (14222, 1), (15496, 1), (15981, 1), (15982, 1), (15983, 1), (15984, 1), (15985, 1)], [(8, 1), (19, 2), (20, 1), (22, 1), (25, 2), (31, 1), (53, 1), (54, 1), (71, 1), (96, 1), (97, 1), (186, 1), (187, 1), (256, 1), (269, 1), (347, 1), (450, 1), (461, 1), (568, 1), (601, 1), (913, 1), (1229, 1), (1509, 1), (1702, 1), (2070, 1), (2309, 1), (4989, 1), (5011, 1), (6862, 1), (6992, 1), (7022, 1), (7411, 1), (15887, 1), (15986, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (24, 1), (25, 2), (26, 1), (50, 4), (53, 3), (75, 1), (77, 2), (95, 1), (97, 2), (111, 1), (161, 1), (193, 1), (197, 1), (214, 2), (215, 1), (365, 1), (373, 1), (414, 1), (415, 1), (418, 1), (420, 1), (428, 1), (441, 1), (705, 1), (707, 1), (709, 1), (743, 1), (893, 1), (913, 1), (1041, 1), (1248, 1), (1501, 1), (1508, 1), (2184, 1), (2479, 1), (2812, 1), (3465, 1), (4442, 1), (4526, 1), (5888, 1), (7839, 1), (9595, 1), (9696, 1), (9774, 1), (12218, 1), (15987, 1)], [(8, 1), (24, 1), (31, 1), (50, 2), (53, 3), (54, 1), (74, 1), (90, 1), (124, 1), (185, 1), (187, 1), (1160, 1), (1932, 1), (2983, 1), (3091, 1), (6866, 1), (7514, 1), (7892, 1), (8782, 1), (15988, 1)], [(8, 1), (37, 1), (53, 1), (54, 1), (187, 1), (269, 1), (1308, 1), (3319, 1), (5833, 1), (15887, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (24, 1), (53, 2), (71, 2), (108, 1), (182, 1), (190, 1), (215, 1), (256, 1), (415, 1), (448, 1), (771, 1), (833, 1), (1308, 1), (1342, 1), (2239, 1), (2656, 1), (5081, 1), (6129, 1), (7757, 1), (12213, 1)], [(1544, 1), (15989, 1)], [(8, 1), (25, 1), (15990, 1), (15991, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (26, 1), (50, 2), (53, 1), (54, 1), (111, 1), (328, 1), (396, 1), (441, 1), (531, 1), (587, 1), (834, 1), (897, 1), (1024, 1), (1253, 1), (1607, 1), (1667, 1), (3237, 1), (3352, 1), (4627, 1), (5942, 1), (10786, 1), (15295, 1), (15992, 1), (15993, 1)], [(8, 1), (19, 1), (20, 6), (53, 1), (109, 1), (172, 1), (182, 1), (193, 2), (203, 1), (214, 2), (215, 1), (217, 1), (260, 1), (334, 1), (346, 1), (361, 1), (457, 1), (578, 1), (744, 1), (1102, 1), (1129, 1), (1133, 1), (1824, 1), (2744, 1), (3121, 1), (4296, 1), (5257, 1), (7442, 1), (8957, 1), (9767, 1), (11963, 1), (15572, 1), (15801, 1)], [(8, 1), (46, 1), (214, 1), (215, 1), (2153, 1), (11963, 1), (15994, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (50, 2), (69, 1), (111, 1), (214, 2), (215, 1), (222, 1), (256, 1), (418, 1), (530, 1), (711, 1), (834, 2), (1277, 1), (2235, 1), (3056, 1), (3894, 1), (6913, 1), (7697, 1), (8879, 1), (9260, 1), (14298, 1), (15995, 1), (15996, 1), (15997, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 1), (25, 1), (31, 1), (34, 1), (45, 2), (50, 3), (51, 1), (53, 3), (82, 1), (86, 1), (99, 1), (161, 1), (256, 1), (263, 1), (281, 2), (323, 1), (359, 1), (876, 1), (1555, 1), (1626, 1), (1730, 1), (4044, 1), (4827, 1), (5839, 1), (7533, 1), (8638, 1), (10731, 1), (13600, 1), (15240, 1), (15995, 1), (15998, 1), (15999, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (25, 1), (37, 1), (50, 1), (53, 3), (56, 1), (77, 1), (185, 1), (359, 1), (410, 1), (679, 1), (777, 1), (1600, 1), (3409, 1), (3554, 1), (5396, 1), (5612, 1), (16000, 1), (16001, 1), (16002, 1), (16003, 1), (16004, 1)], [(8, 1), (20, 4), (22, 1), (24, 1), (25, 1), (45, 1), (50, 3), (53, 3), (65, 2), (77, 2), (82, 1), (124, 1), (173, 1), (185, 1), (193, 1), (214, 1), (260, 1), (263, 1), (269, 1), (525, 1), (531, 1), (833, 1), (880, 1), (1395, 1), (1529, 1), (1555, 1), (1877, 1), (2029, 1), (2036, 1), (3002, 1), (3696, 1), (4044, 1), (8610, 1), (13170, 1), (14134, 1), (15051, 1), (15174, 1), (16000, 1), (16005, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (23, 1), (53, 1), (82, 1), (214, 1), (273, 1), (460, 1), (530, 1), (1122, 1), (1350, 1), (2785, 1), (5198, 1), (5314, 1), (9053, 1), (9161, 1), (9534, 1), (16006, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (58, 1), (71, 1), (90, 1), (214, 1), (281, 1), (711, 1), (1072, 1), (2985, 1), (3828, 1), (6981, 1), (8052, 1), (9334, 1), (16007, 1)], [(8, 1), (19, 1), (25, 1), (31, 1), (77, 1), (122, 1), (185, 1), (450, 1), (452, 1), (1041, 1), (2343, 1), (3495, 1), (5153, 1), (12021, 1), (16002, 1), (16008, 1)], [(8, 1), (20, 1), (31, 1), (40, 1), (50, 1), (53, 1), (108, 1), (214, 1), (414, 1), (551, 1), (711, 1), (3770, 1), (4738, 1), (6077, 1), (9784, 1), (16009, 1)], [(8, 1), (20, 4), (25, 2), (31, 2), (37, 1), (50, 2), (53, 5), (91, 1), (108, 1), (109, 1), (263, 1), (280, 1), (293, 1), (414, 1), (518, 1), (1342, 1), (1443, 1), (1476, 1), (1498, 1), (1499, 1), (1510, 1), (1731, 1), (2538, 2), (2705, 1), (2796, 1), (3141, 1), (5387, 1), (6053, 1), (11439, 1), (11454, 1), (11505, 1), (15705, 1), (16010, 1)], [(8, 1), (20, 2), (25, 2), (31, 1), (50, 3), (53, 7), (108, 1), (172, 1), (186, 1), (293, 1), (310, 1), (328, 1), (415, 1), (639, 1), (711, 2), (1140, 1), (1342, 1), (3145, 1), (3197, 1), (4652, 1), (5657, 1), (8112, 1), (11439, 1), (14320, 1), (15612, 1), (15852, 1), (16011, 1), (16012, 1), (16013, 1), (16014, 1)], [(8, 1), (18, 1), (20, 2), (45, 1), (50, 1), (95, 1), (161, 1), (182, 1), (206, 1), (214, 1), (220, 1), (269, 1), (414, 2), (504, 1), (1281, 1), (1580, 1), (1972, 1), (2164, 1), (2847, 1), (2913, 1), (3013, 1), (3164, 1), (5153, 1), (6284, 1), (15953, 1), (16015, 1), (16016, 1)], [(19, 2), (20, 3), (25, 1), (30, 2), (50, 1), (53, 2), (55, 1), (90, 1), (96, 1), (161, 1), (210, 1), (247, 1), (269, 1), (309, 1), (688, 1), (697, 1), (1324, 1), (1769, 1), (2235, 1), (3057, 1), (3296, 1), (4044, 1), (5888, 1), (8293, 1), (16017, 1), (16018, 1), (16019, 1), (16020, 1), (16021, 1), (16022, 1)], [(19, 2), (20, 4), (22, 2), (30, 1), (45, 1), (50, 2), (53, 3), (71, 1), (85, 1), (96, 1), (108, 1), (173, 1), (190, 1), (214, 1), (247, 1), (407, 1), (504, 1), (516, 1), (1072, 1), (1102, 1), (1685, 1), (2235, 1), (2471, 1), (2515, 1), (2637, 1), (2744, 1), (2785, 1), (4345, 1), (4495, 1), (5448, 1), (6784, 1), (6990, 1), (11621, 1), (14935, 1), (16017, 1), (16023, 1), (16024, 1), (16025, 1)], [(8, 1), (31, 1), (37, 1), (74, 1), (2440, 1), (2471, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 1), (37, 1), (53, 3), (55, 1), (108, 1), (187, 1), (209, 1), (275, 1), (293, 1), (323, 1), (399, 1), (407, 1), (450, 1), (702, 1), (892, 1), (1070, 1), (1161, 1), (1731, 1), (3237, 1), (3402, 1), (3756, 1), (4044, 1), (4326, 1), (8697, 1), (16026, 1), (16027, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (55, 1), (90, 1), (91, 1), (108, 1), (174, 1), (275, 1), (293, 1), (329, 1), (450, 2), (516, 1), (530, 1), (693, 1), (862, 1), (1703, 1), (5743, 1), (9310, 1), (15339, 1), (16028, 1), (16029, 1), (16030, 1), (16031, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 2), (31, 1), (50, 1), (53, 1), (206, 1), (214, 1), (338, 1), (448, 1), (449, 1), (1118, 1), (1481, 1), (1498, 1), (1520, 1), (1932, 1), (2716, 1), (5833, 1), (6402, 1), (6893, 1), (9179, 1), (9946, 1), (10597, 1), (16032, 1), (16033, 1), (16034, 1), (16035, 1)], [(8, 1), (19, 2), (20, 1), (50, 2), (53, 3), (58, 1), (77, 1), (90, 1), (117, 1), (193, 1), (232, 1), (301, 1), (452, 1), (763, 1), (897, 1), (1324, 1), (1377, 1), (2343, 1), (4345, 1), (4937, 1), (5153, 2), (6990, 1), (13000, 1), (16002, 1), (16036, 1), (16037, 1), (16038, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (45, 2), (91, 1), (173, 1), (328, 1), (399, 2), (516, 1), (525, 1), (587, 1), (1403, 1), (1458, 1), (1502, 1), (1702, 1), (2235, 1), (3145, 1), (5342, 1), (6463, 1), (11762, 1), (12157, 1), (15485, 1), (16005, 1), (16023, 1), (16039, 1), (16040, 1), (16041, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (31, 1), (50, 2), (53, 1), (71, 1), (77, 1), (108, 1), (187, 1), (190, 1), (206, 2), (214, 1), (269, 1), (278, 1), (415, 1), (450, 2), (691, 1), (908, 1), (940, 1), (1668, 1), (2253, 1), (3121, 1), (4674, 1), (5712, 1), (7230, 2), (11850, 1), (15484, 2), (15492, 1), (16042, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (50, 1), (53, 3), (55, 1), (88, 1), (108, 1), (193, 1), (202, 1), (203, 1), (209, 1), (711, 1), (834, 1), (904, 1), (1308, 1), (1928, 1), (2149, 1), (2912, 1), (3203, 1), (4153, 2), (5453, 1), (7312, 2)], [(8, 1), (18, 1), (20, 4), (22, 2), (25, 1), (37, 1), (45, 1), (53, 3), (56, 1), (71, 1), (90, 1), (108, 2), (110, 1), (173, 1), (197, 1), (201, 1), (225, 1), (268, 1), (286, 1), (289, 1), (293, 1), (334, 1), (345, 1), (415, 1), (516, 1), (526, 1), (531, 1), (601, 1), (756, 1), (777, 1), (827, 1), (1580, 1), (1758, 1), (3494, 1), (3970, 1), (4469, 1), (7624, 1), (8501, 1), (14399, 1), (14774, 1), (16043, 1), (16044, 1), (16045, 1), (16046, 1)], [(8, 1), (18, 2), (19, 1), (20, 11), (22, 5), (25, 5), (31, 1), (37, 1), (45, 2), (50, 3), (51, 1), (53, 6), (70, 1), (84, 1), (108, 1), (109, 1), (210, 1), (215, 4), (281, 1), (359, 1), (378, 1), (399, 1), (410, 1), (505, 1), (531, 1), (609, 1), (897, 1), (1129, 1), (1159, 1), (1161, 2), (1188, 1), (1342, 1), (1485, 1), (1628, 1), (1751, 1), (1909, 1), (2178, 1), (2235, 1), (2474, 1), (2806, 1), (3091, 1), (3522, 1), (4422, 1), (4592, 1), (4661, 1), (4843, 1), (5839, 1), (7524, 1), (9371, 1), (9385, 1), (9761, 1), (13141, 1), (13819, 1), (14480, 1), (14753, 1), (16000, 1), (16002, 1), (16047, 1), (16048, 1), (16049, 1), (16050, 1), (16051, 1), (16052, 1), (16053, 1), (16054, 1), (16055, 1), (16056, 1), (16057, 1), (16058, 1), (16059, 1), (16060, 1), (16061, 1), (16062, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (46, 1), (50, 2), (53, 4), (72, 1), (77, 2), (86, 2), (90, 1), (187, 1), (215, 2), (293, 1), (346, 1), (811, 1), (940, 1), (1982, 1), (5153, 1), (11965, 1), (16002, 1)], [(8, 1), (19, 1), (20, 4), (31, 1), (50, 1), (53, 1), (58, 1), (77, 1), (82, 2), (86, 1), (90, 1), (96, 1), (122, 1), (173, 2), (201, 1), (256, 1), (287, 1), (328, 1), (337, 1), (599, 1), (743, 1), (897, 1), (1377, 1), (1764, 1), (3808, 1), (4299, 1), (6743, 1), (12012, 1), (13345, 1), (15407, 1), (15862, 1), (16063, 1)], [(8, 1), (18, 1), (20, 6), (25, 2), (31, 1), (45, 2), (50, 5), (53, 5), (54, 2), (65, 1), (81, 1), (90, 2), (95, 1), (96, 2), (109, 1), (172, 2), (173, 1), (185, 1), (203, 1), (256, 1), (281, 1), (285, 1), (323, 1), (412, 1), (428, 1), (445, 1), (448, 2), (452, 1), (645, 1), (723, 1), (763, 1), (794, 1), (813, 2), (834, 1), (1377, 1), (1392, 1), (1470, 1), (1820, 1), (1982, 2), (2240, 1), (3000, 1), (4297, 1), (5310, 1), (6981, 1), (8857, 1), (8875, 1), (9256, 1), (9648, 1), (16000, 1), (16002, 1), (16064, 1), (16065, 1), (16066, 1), (16067, 1), (16068, 1), (16069, 1), (16070, 1), (16071, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (25, 1), (31, 1), (37, 1), (45, 1), (50, 1), (53, 1), (77, 1), (94, 1), (95, 1), (97, 1), (396, 1), (609, 1), (922, 1), (1253, 1), (1377, 1), (1982, 1), (2661, 1), (4502, 1), (6284, 1), (16072, 1), (16073, 1)], [(8, 1), (18, 2), (20, 1), (21, 2), (72, 1), (77, 1), (95, 1), (210, 1), (212, 1), (215, 1), (269, 1), (531, 1), (3978, 1), (7437, 1), (8786, 1), (13240, 1), (14752, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (30, 1), (31, 1), (50, 2), (53, 2), (65, 1), (77, 1), (172, 1), (173, 2), (190, 1), (228, 1), (256, 1), (268, 1), (269, 1), (293, 1), (454, 1), (551, 1), (707, 1), (1102, 1), (1159, 1), (1322, 2), (3164, 1), (3539, 1), (3649, 1), (4209, 1), (4224, 1), (4365, 1), (4417, 1), (4652, 1), (6168, 1), (6206, 1), (8735, 1), (14941, 1), (16074, 1), (16075, 1), (16076, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (24, 1), (25, 1), (53, 1), (256, 1), (276, 1), (2226, 1), (2235, 1), (3002, 1), (3056, 1), (3501, 1), (3894, 1), (4059, 1), (13699, 1), (15994, 2), (15996, 1), (16002, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 2), (37, 1), (50, 1), (53, 3), (65, 3), (91, 1), (99, 1), (111, 1), (187, 2), (190, 1), (206, 1), (214, 2), (215, 1), (275, 1), (286, 1), (407, 2), (458, 1), (516, 1), (711, 1), (768, 1), (834, 2), (1298, 1), (1348, 1), (1529, 1), (1554, 1), (1616, 1), (2235, 1), (2674, 1), (3118, 1), (3400, 1), (3633, 1), (4004, 1), (4463, 1), (5816, 1), (7206, 1), (7395, 1), (8055, 1), (8529, 1), (9998, 1), (13344, 1), (14080, 1), (14298, 1), (15996, 1), (16077, 1), (16078, 1), (16079, 1), (16080, 1)], [(8, 1), (24, 1), (53, 1), (65, 2), (214, 1), (768, 1), (833, 1), (907, 1), (5568, 1), (15994, 2), (16002, 1), (16081, 1)], [(8, 1), (18, 3), (20, 6), (25, 1), (50, 2), (53, 1), (56, 1), (90, 1), (91, 1), (111, 1), (124, 1), (161, 1), (173, 1), (193, 2), (214, 1), (263, 1), (268, 1), (285, 2), (551, 1), (711, 1), (744, 1), (833, 1), (1122, 1), (2235, 1), (2914, 1), (3400, 1), (4757, 1), (4831, 1), (4981, 1), (7767, 1), (7768, 1), (8066, 1), (9378, 1), (13066, 1), (14472, 1), (14473, 1), (14495, 1), (16082, 1), (16083, 1), (16084, 1)], [(8, 1), (20, 5), (25, 2), (31, 1), (50, 1), (65, 1), (77, 1), (90, 1), (185, 1), (186, 1), (287, 1), (410, 2), (420, 1), (530, 1), (1102, 1), (1248, 1), (1627, 1), (3189, 1), (5839, 1), (8117, 1), (9591, 1), (9926, 1), (14276, 1), (16085, 1), (16086, 1), (16087, 1)], [(8, 1), (25, 1), (50, 2), (53, 2), (77, 1), (124, 1), (1287, 1), (1554, 1), (1555, 1), (1702, 1), (2036, 1), (2037, 1), (4763, 1), (15854, 1), (15994, 1), (16088, 1)], [(18, 1), (21, 1), (65, 2), (99, 1), (167, 1), (178, 1), (247, 1), (327, 1), (768, 1), (1753, 1), (5568, 1), (16081, 1)], [(8, 1), (30, 1), (37, 1), (45, 1), (1375, 1), (3101, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (25, 2), (50, 2), (53, 1), (55, 1), (86, 1), (174, 1), (197, 1), (215, 1), (275, 1), (293, 2), (301, 1), (327, 1), (661, 1), (696, 1), (707, 1), (904, 1), (1159, 3), (1255, 1), (3014, 1), (4977, 1), (6084, 1), (6923, 1), (7839, 1), (7853, 1), (16002, 1)], [(1544, 1), (16089, 1)], [(8, 1), (25, 1), (65, 2), (2308, 2), (16090, 1), (16091, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 3), (31, 1), (50, 3), (53, 6), (65, 1), (71, 1), (95, 1), (97, 1), (256, 1), (269, 1), (448, 1), (830, 1), (1130, 1), (1607, 1), (2344, 1), (4073, 1), (4627, 1), (6439, 1), (6855, 1), (7140, 1), (7530, 1), (8287, 1), (9590, 1), (10984, 1), (12218, 3), (16092, 1)], [(7, 2), (8, 1), (18, 1), (20, 4), (22, 1), (25, 3), (31, 1), (37, 1), (50, 1), (71, 2), (90, 1), (95, 1), (122, 1), (185, 1), (214, 2), (228, 1), (269, 2), (355, 1), (420, 1), (461, 1), (488, 2), (764, 1), (830, 1), (897, 1), (1130, 1), (1464, 1), (1477, 1), (2265, 1), (2916, 1), (3726, 1), (4514, 1), (4659, 1), (5081, 1), (5833, 1), (6688, 1), (8343, 1), (9993, 1), (14136, 1), (16093, 1), (16094, 1), (16095, 1)], [(7, 2), (8, 1), (18, 5), (19, 1), (20, 6), (22, 1), (25, 3), (26, 1), (31, 1), (50, 3), (53, 2), (58, 1), (71, 1), (95, 1), (109, 1), (111, 1), (286, 1), (323, 1), (337, 1), (505, 1), (580, 1), (654, 1), (709, 1), (830, 1), (1237, 1), (1239, 1), (1324, 1), (1348, 1), (1590, 1), (1615, 1), (1932, 1), (2077, 1), (2197, 1), (2253, 1), (2263, 1), (2337, 1), (3129, 1), (5447, 1), (5655, 1), (5926, 1), (6252, 1), (6633, 1), (7382, 1), (8975, 1), (10225, 1), (12415, 1), (16096, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (37, 1), (53, 2), (82, 1), (111, 1), (285, 1), (328, 1), (407, 1), (448, 1), (459, 1), (940, 1), (2027, 1), (2036, 1), (2757, 1), (3129, 1), (3756, 1), (3841, 1), (4789, 1), (4806, 1), (4946, 1), (8706, 1), (15615, 1), (16097, 1), (16098, 1), (16099, 1)], [(7, 1), (8, 1), (20, 1), (50, 1), (53, 1), (54, 1), (90, 1), (1308, 1), (2096, 1), (5956, 1), (16100, 1), (16101, 1), (16102, 1), (16103, 1), (16104, 1), (16105, 1)], [(7, 1), (8, 3), (31, 1), (53, 1), (54, 1), (65, 1), (122, 1), (126, 1), (467, 1), (5216, 1), (11170, 1), (16106, 1), (16107, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (40, 1), (53, 1), (161, 1), (172, 1), (185, 1), (217, 1), (225, 1), (229, 1), (268, 1), (301, 1), (347, 1), (415, 1), (450, 1), (940, 1), (1102, 1), (1196, 1), (1517, 1), (1824, 1), (2096, 1), (3841, 1), (4806, 1), (6415, 1), (16108, 1), (16109, 1)], [(8, 1), (18, 1), (25, 1), (50, 2), (53, 3), (55, 1), (65, 1), (97, 1), (108, 2), (117, 2), (172, 1), (232, 2), (415, 1), (530, 1), (639, 1), (4467, 1), (6376, 1), (6855, 1), (8964, 1), (10610, 1), (11465, 1), (11770, 1), (11969, 1), (14172, 1), (14173, 1), (16110, 1), (16111, 1), (16112, 1), (16113, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (50, 1), (53, 2), (71, 1), (111, 1), (117, 1), (206, 1), (214, 1), (232, 1), (293, 1), (414, 1), (601, 1), (711, 1), (1122, 1), (1778, 1), (2259, 1), (3121, 1), (3355, 1), (6179, 1), (6855, 1), (8548, 1), (14822, 1), (16114, 1), (16115, 1), (16116, 1)], [(8, 1), (23, 1)], [(8, 1), (19, 2), (53, 1), (58, 1), (65, 1), (126, 1), (2308, 1), (3201, 1), (4941, 1), (6566, 1), (16090, 1)], [(8, 1), (8823, 1)], [(8, 1), (58, 1), (65, 1), (77, 1), (108, 1), (126, 1), (323, 1), (581, 1), (2308, 1), (3044, 1), (3053, 1), (3465, 1), (12292, 1), (16091, 1), (16117, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (50, 2), (53, 2), (55, 1), (58, 2), (77, 1), (96, 1), (97, 1), (185, 1), (301, 1), (587, 1), (6516, 1), (7140, 1), (9716, 1), (10579, 1), (15710, 1), (16102, 1), (16118, 1), (16119, 1), (16120, 1), (16121, 1)], [(18, 1), (65, 1), (77, 1), (392, 1), (596, 1), (1714, 1), (2308, 1), (3528, 1), (16090, 1)], [(7, 2), (8, 1), (18, 5), (20, 7), (37, 2), (50, 1), (53, 2), (55, 1), (58, 2), (65, 1), (74, 1), (77, 3), (111, 4), (161, 1), (193, 1), (317, 1), (373, 1), (420, 1), (531, 2), (709, 1), (893, 1), (922, 1), (1400, 1), (1932, 1), (2238, 1), (3745, 1), (4636, 1), (4941, 1), (5233, 1), (5693, 1), (10312, 1), (11326, 1), (11965, 1), (11987, 1), (16122, 1), (16123, 1), (16124, 1), (16125, 1), (16126, 1), (16127, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (50, 1), (53, 1), (58, 3), (74, 1), (77, 1), (88, 1), (111, 1), (161, 2), (174, 1), (193, 1), (215, 3), (240, 1), (293, 2), (415, 1), (420, 1), (450, 2), (602, 1), (1342, 1), (1508, 1), (1685, 1), (2939, 1), (3326, 1), (4941, 1), (5544, 1), (6566, 1), (7382, 1), (9025, 1), (10984, 1), (11889, 1), (11965, 1), (12218, 1), (16128, 1), (16129, 1)], [(8, 1), (21, 1), (22, 1), (25, 1), (31, 1), (50, 2), (53, 4), (65, 2), (214, 1), (256, 1), (275, 1), (281, 1), (904, 1), (1456, 1), (1471, 1), (2320, 1), (2436, 1), (8693, 1), (11884, 1), (14963, 1), (16119, 2), (16130, 1), (16131, 1), (16132, 1), (16133, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 1), (53, 1), (58, 1), (71, 1), (95, 1), (108, 2), (111, 1), (124, 1), (214, 1), (269, 1), (285, 1), (353, 1), (399, 1), (461, 1), (531, 1), (1139, 1), (1294, 1), (1393, 1), (1471, 1), (1501, 1), (1508, 1), (1623, 1), (1921, 1), (2029, 1), (2265, 1), (2757, 1), (3501, 1), (6205, 1), (6566, 2), (7498, 1), (9985, 1), (12969, 1), (16134, 1)], [(7, 1), (8, 1), (83, 1), (214, 1), (268, 1), (293, 1), (301, 1), (4465, 1), (16135, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (19, 1), (20, 4), (22, 2), (25, 1), (31, 3), (50, 3), (53, 4), (54, 1), (65, 1), (74, 1), (82, 1), (90, 1), (92, 1), (95, 2), (193, 1), (195, 1), (256, 1), (328, 1), (337, 1), (347, 1), (373, 1), (420, 1), (450, 3), (457, 1), (459, 1), (518, 1), (609, 1), (711, 2), (753, 1), (757, 1), (1157, 1), (1308, 1), (1392, 1), (1443, 1), (1571, 1), (2253, 1), (2258, 1), (2320, 1), (2344, 1), (2593, 1), (2615, 1), (2785, 1), (3495, 1), (3549, 1), (3885, 1), (4682, 1), (5589, 1), (7472, 1), (16136, 1), (16137, 1), (16138, 2), (16139, 1)], [(8, 1), (10, 1), (11, 1), (20, 4), (25, 1), (50, 2), (53, 5), (55, 1), (58, 1), (95, 1), (186, 1), (261, 1), (307, 1), (426, 1), (452, 1), (461, 1), (709, 1), (1477, 1), (1506, 1), (2265, 1), (4659, 1), (6770, 1), (16138, 1), (16140, 1), (16141, 1), (16142, 1)], [(7, 1), (8, 1), (19, 2), (20, 6), (25, 2), (31, 1), (32, 1), (45, 1), (50, 2), (53, 5), (55, 1), (90, 1), (91, 1), (95, 1), (97, 1), (117, 1), (173, 2), (193, 1), (285, 1), (331, 1), (347, 2), (373, 1), (420, 1), (449, 1), (450, 2), (459, 1), (697, 1), (834, 1), (1239, 1), (1325, 1), (1342, 1), (2718, 1), (2884, 1), (3181, 1), (5169, 1), (5582, 1), (6386, 1), (9239, 1), (9977, 1), (14198, 1), (16138, 1), (16142, 1), (16143, 1), (16144, 1), (16145, 1)], [(8, 1), (20, 3), (25, 1), (32, 1), (50, 2), (53, 3), (95, 1), (108, 1), (373, 1), (450, 1), (451, 1), (1239, 1), (2718, 1), (7891, 1), (8257, 1), (16138, 1), (16146, 1)], [(8, 2), (22, 1), (53, 2), (54, 2), (108, 1), (345, 1), (1195, 1), (4819, 1), (13069, 1), (16142, 1), (16147, 1), (16148, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 2), (45, 1), (50, 1), (53, 3), (359, 1), (414, 1), (2348, 1), (3416, 1), (5378, 1), (12819, 1), (16148, 1), (16149, 1), (16150, 1), (16151, 1), (16152, 1), (16153, 1)], [(8, 1), (16154, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (31, 2), (45, 1), (50, 4), (53, 2), (90, 1), (117, 1), (173, 1), (193, 1), (195, 1), (232, 1), (256, 1), (281, 1), (337, 1), (347, 1), (505, 1), (518, 1), (531, 1), (609, 1), (1159, 2), (1508, 1), (1823, 1), (2344, 1), (2870, 1), (3416, 1), (3649, 1), (4482, 1), (4682, 1), (5101, 1), (5612, 1), (7854, 1), (11504, 1), (12229, 1), (13514, 1), (16155, 1), (16156, 1)], [(7, 2), (8, 1), (18, 2), (20, 7), (22, 3), (25, 4), (31, 1), (50, 2), (53, 5), (54, 1), (55, 1), (58, 1), (65, 2), (74, 1), (90, 3), (117, 1), (172, 1), (173, 2), (188, 1), (193, 1), (217, 1), (232, 1), (293, 1), (334, 1), (347, 4), (414, 1), (415, 1), (420, 1), (601, 1), (632, 1), (776, 1), (792, 1), (894, 1), (897, 2), (975, 1), (1102, 1), (1159, 6), (1308, 1), (1322, 1), (1536, 2), (1824, 1), (1916, 1), (2197, 1), (2259, 1), (2266, 2), (2344, 1), (2543, 1), (3091, 1), (3406, 1), (3727, 2), (4299, 1), (4603, 1), (4941, 1), (5612, 3), (6059, 2), (6252, 1), (6385, 1), (9611, 1), (9720, 1), (12229, 1), (16148, 1), (16156, 1), (16157, 1)], [(8, 1), (25, 1), (31, 1), (50, 2), (53, 4), (90, 1), (95, 1), (195, 1), (346, 1), (415, 1), (459, 1), (1129, 1), (4296, 1), (6059, 1), (11234, 1), (15988, 1), (16148, 1), (16158, 1), (16159, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (19, 6), (20, 11), (22, 4), (25, 5), (31, 2), (50, 1), (53, 13), (54, 1), (55, 2), (58, 4), (65, 1), (74, 3), (90, 1), (91, 2), (95, 2), (108, 1), (173, 1), (193, 1), (215, 1), (256, 1), (323, 1), (347, 2), (353, 1), (373, 1), (420, 1), (450, 1), (452, 1), (599, 1), (658, 1), (708, 1), (711, 2), (753, 1), (827, 1), (834, 1), (912, 1), (970, 1), (975, 1), (1237, 1), (1239, 2), (1342, 1), (1362, 1), (1456, 1), (1571, 1), (1877, 3), (1932, 1), (2030, 1), (2187, 1), (2217, 1), (2308, 1), (2354, 1), (2523, 1), (2667, 1), (2718, 2), (3044, 1), (3382, 1), (4674, 1), (5385, 1), (6145, 1), (8967, 1), (9777, 1), (10742, 1), (12229, 1), (12233, 1), (16091, 1), (16138, 1), (16142, 1), (16160, 1), (16161, 1), (16162, 1), (16163, 2)], [(8, 1), (20, 1), (22, 1), (53, 3), (74, 1), (346, 1), (459, 1), (912, 1), (2354, 1), (2523, 1), (4205, 1), (5350, 1), (16142, 1), (16164, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 1), (58, 1), (126, 1), (185, 1), (193, 1), (452, 1), (599, 1), (601, 1), (645, 1), (1449, 1), (1695, 1), (1733, 1), (2440, 1), (10742, 1), (13960, 1)], [(7, 1), (8, 1), (19, 2), (20, 9), (22, 2), (23, 1), (25, 3), (31, 2), (37, 1), (50, 5), (53, 10), (65, 2), (71, 1), (108, 1), (186, 1), (190, 1), (195, 1), (206, 1), (225, 1), (237, 1), (256, 1), (273, 1), (301, 1), (310, 1), (334, 1), (345, 1), (414, 2), (418, 3), (516, 1), (767, 1), (800, 1), (894, 1), (895, 1), (1041, 1), (1196, 1), (1448, 1), (2096, 1), (2308, 2), (2693, 1), (3501, 1), (4018, 1), (6855, 2), (7034, 1), (8502, 1), (8683, 1), (8820, 1), (8962, 1), (9211, 1), (11233, 1), (13212, 1), (13662, 1), (13819, 1), (15406, 1), (16090, 1), (16091, 1), (16147, 1), (16165, 1), (16166, 2), (16167, 1), (16168, 1), (16169, 1), (16170, 1), (16171, 1)], [(18, 1), (20, 2), (31, 1), (50, 2), (53, 2), (58, 1), (77, 2), (82, 1), (90, 1), (117, 1), (197, 1), (232, 1), (269, 1), (288, 1), (382, 1), (387, 1), (392, 1), (426, 1), (428, 1), (1350, 1), (1508, 1), (1714, 1), (2909, 1), (3091, 1), (3841, 1), (16172, 1), (16173, 1)], [(8, 1), (50, 1), (53, 2), (77, 1), (301, 1), (1508, 1), (2985, 1), (3756, 1), (3841, 1)], [(20, 1), (25, 2), (50, 2), (53, 3), (65, 1), (77, 1), (214, 1), (256, 1), (596, 1), (1508, 1), (1714, 1), (2308, 1), (2985, 1), (3841, 1), (5360, 1), (10780, 1), (11706, 1), (13904, 1), (16090, 1), (16174, 1), (16175, 1), (16176, 1)], [(18, 1), (19, 1), (53, 2), (65, 1), (77, 1), (117, 1), (232, 1), (256, 1), (596, 1), (1714, 1), (2308, 1), (2344, 1), (2824, 1), (4762, 1), (14329, 1), (16090, 1), (16177, 1)], [(18, 3), (22, 1), (55, 1), (65, 2), (77, 2), (90, 1), (96, 1), (108, 1), (117, 1), (232, 1), (256, 1), (596, 1), (1714, 1), (1729, 1), (2308, 1), (2345, 1), (4144, 1), (4235, 1), (4528, 1), (12218, 1), (16090, 1), (16178, 1), (16179, 1)], [(18, 2), (19, 1), (20, 4), (22, 1), (53, 3), (65, 1), (77, 2), (90, 1), (96, 1), (97, 1), (109, 2), (117, 1), (178, 1), (232, 1), (256, 1), (414, 1), (596, 1), (1714, 1), (1972, 1), (2072, 1), (2308, 1), (2515, 1), (7674, 1), (9512, 1), (16090, 1), (16180, 1), (16181, 2), (16182, 1), (16183, 2), (16184, 1), (16185, 2)], [(10, 1), (11, 1), (18, 1), (20, 2), (25, 1), (37, 1), (50, 7), (53, 2), (65, 2), (77, 2), (90, 1), (96, 1), (109, 1), (117, 2), (161, 1), (232, 2), (256, 1), (596, 1), (654, 1), (1001, 1), (1127, 1), (1541, 1), (1690, 1), (1714, 1), (2308, 1), (2716, 1), (2912, 1), (3512, 1), (6412, 1), (6479, 1), (6770, 1), (7429, 1), (7577, 2), (7896, 1), (8709, 1), (16090, 1), (16186, 1), (16187, 2), (16188, 2), (16189, 1)], [(25, 1), (50, 1), (53, 1), (65, 1), (117, 1), (214, 1), (232, 1), (256, 1), (596, 1), (1714, 1), (2308, 1), (6222, 1), (7752, 1), (16090, 1), (16190, 1), (16191, 1), (16192, 1)], [(18, 1), (19, 1), (20, 3), (65, 1), (77, 1), (90, 1), (178, 1), (256, 1), (596, 1), (1578, 1), (1714, 1), (2308, 1), (8650, 1), (16090, 1), (16193, 1), (16194, 1), (16195, 1)], [(18, 1), (19, 1), (20, 2), (65, 1), (77, 1), (90, 1), (256, 1), (596, 1), (1714, 1), (2308, 1), (5875, 1), (14445, 1), (16090, 1), (16196, 1), (16197, 1), (16198, 1)], [(20, 1), (37, 1), (50, 1), (53, 2), (77, 1), (82, 1), (206, 1), (331, 1), (1714, 1), (2985, 1), (3330, 1), (3841, 1), (16172, 1)], [(8, 1), (20, 1), (50, 2), (53, 2), (65, 2), (71, 1), (77, 1), (124, 1), (222, 1), (293, 1), (301, 1), (504, 1), (1172, 1), (1702, 1), (2308, 2), (3996, 1), (9782, 1), (16090, 1), (16091, 1), (16097, 1), (16199, 2)], [(8, 1), (25, 1), (77, 1), (658, 1), (13240, 1), (16097, 1), (16200, 1)], [(7, 1), (18, 1), (20, 1), (25, 1), (31, 2), (45, 1), (50, 1), (53, 1), (54, 1), (58, 1), (65, 1), (97, 1), (108, 1), (256, 1), (320, 1), (596, 1), (697, 1), (811, 1), (1477, 1), (1714, 1), (2308, 1), (4130, 1), (7643, 1), (10982, 1), (13540, 1), (16091, 1), (16129, 1), (16201, 1), (16202, 1)], [(19, 1), (53, 1), (54, 1), (596, 1), (1714, 1), (2554, 1), (5863, 1)], [(19, 1), (53, 1), (596, 1), (1714, 1), (9371, 1), (16203, 1)], [(19, 1), (596, 1), (1442, 1), (1714, 1), (2593, 1)], [(19, 1), (53, 1), (71, 1), (190, 1), (193, 1), (596, 1), (1714, 1), (2344, 1), (5873, 1), (11170, 1), (16204, 1)], [(8, 1), (65, 1), (2308, 1), (2849, 1), (16091, 1)], [(25, 1), (50, 2), (53, 3), (65, 1), (214, 1), (256, 1), (596, 1), (1714, 1), (2308, 1), (5358, 1), (15078, 1), (16091, 1), (16205, 1), (16206, 1)], [(25, 1), (37, 1), (65, 1), (117, 1), (232, 1), (256, 1), (596, 1), (600, 1), (1714, 1), (2308, 1), (2668, 1), (10578, 1), (16091, 1)], [(18, 1), (31, 1), (50, 1), (53, 1), (65, 1), (77, 1), (91, 1), (256, 1), (596, 1), (1625, 1), (1714, 1), (2308, 1), (6718, 1), (6940, 1), (16091, 1)], [(19, 1), (50, 1), (53, 2), (65, 1), (214, 1), (256, 1), (596, 1), (1714, 1), (2308, 1), (3132, 1), (12097, 1), (16091, 1), (16207, 1), (16208, 1), (16209, 1)], [(18, 1), (53, 1), (65, 1), (77, 1), (256, 1), (334, 1), (596, 1), (1392, 1), (1714, 1), (2308, 1), (5878, 1), (16091, 1)], [(18, 2), (20, 3), (25, 1), (65, 2), (96, 1), (99, 1), (214, 1), (256, 1), (278, 1), (331, 1), (1714, 1), (2308, 2), (14712, 1), (16090, 1), (16091, 1)], [(1544, 1), (16210, 1)], [(8, 1), (111, 1), (16211, 1), (16212, 1)], [(20, 2), (64, 1), (66, 1), (7565, 1), (16213, 1), (16214, 1), (16215, 1), (16216, 1), (16217, 1), (16218, 1), (16219, 1), (16220, 1), (16221, 1), (16222, 1)], [(8, 3), (20, 2), (2567, 2), (16223, 1), (16224, 1), (16225, 1)], [(7, 1), (8, 1), (20, 7), (25, 1), (37, 1), (50, 4), (53, 8), (55, 2), (71, 1), (90, 2), (97, 1), (109, 1), (172, 1), (187, 1), (203, 1), (215, 1), (405, 1), (414, 1), (623, 1), (642, 1), (706, 1), (771, 1), (791, 1), (1582, 1), (1945, 1), (2139, 1), (2543, 1), (2593, 1), (3044, 1), (4465, 1), (4807, 1), (5833, 1), (6044, 1), (7230, 1), (8548, 1), (9243, 1), (16226, 1), (16227, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (53, 1), (77, 2), (95, 1), (97, 1), (126, 1), (268, 1), (289, 1), (328, 1), (516, 1), (531, 1), (6873, 1), (15050, 1), (16228, 1), (16229, 1), (16230, 1)], [(8, 1), (18, 4), (19, 2), (20, 5), (22, 1), (25, 2), (31, 4), (50, 4), (53, 5), (58, 2), (65, 1), (71, 1), (77, 2), (90, 1), (108, 1), (185, 2), (193, 1), (215, 2), (226, 1), (237, 1), (346, 1), (361, 1), (414, 1), (922, 1), (1080, 1), (1235, 1), (1487, 1), (1625, 1), (1873, 2), (1909, 1), (2148, 1), (2308, 1), (2593, 1), (2847, 1), (3213, 1), (3826, 1), (3841, 2), (4627, 1), (6384, 1), (6411, 1), (7573, 1), (8525, 1), (8877, 1), (9354, 1), (9802, 1), (16090, 1), (16091, 1), (16231, 1), (16232, 1), (16233, 1), (16234, 1), (16235, 1), (16236, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (31, 2), (50, 1), (53, 4), (65, 1), (77, 1), (90, 2), (99, 1), (307, 1), (359, 1), (388, 1), (418, 1), (609, 1), (741, 1), (763, 1), (767, 1), (1702, 1), (2184, 1), (2324, 1), (2344, 1), (2666, 1), (3495, 1), (3678, 1), (3841, 1), (4059, 1), (5729, 1), (6411, 1), (11831, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (31, 1), (50, 2), (53, 2), (90, 1), (95, 1), (97, 1), (109, 1), (111, 2), (122, 1), (269, 1), (337, 1), (347, 2), (448, 2), (569, 1), (675, 1), (708, 1), (711, 1), (2241, 1), (2253, 1), (2320, 1), (2934, 1), (3418, 1), (3549, 1), (4551, 1), (6385, 1), (11578, 1), (11684, 1), (14355, 1), (16237, 1), (16238, 1), (16239, 1), (16240, 1)], [(8, 1), (18, 2), (20, 1), (50, 2), (53, 2), (63, 1), (72, 1), (111, 2), (214, 1), (345, 1), (346, 1), (813, 1), (1487, 1), (12124, 1), (15055, 1), (16237, 1), (16239, 1), (16241, 1), (16242, 1), (16243, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (23, 1), (37, 1), (45, 1), (53, 4), (109, 1), (320, 1), (1414, 1), (2048, 1), (2986, 1), (3385, 1), (5391, 1), (8306, 1), (11560, 1), (15748, 1), (16237, 1), (16244, 1), (16245, 1), (16246, 1)], [(8, 1), (18, 1), (72, 1), (77, 1), (185, 1), (448, 1), (639, 1), (8306, 1), (16247, 1), (16248, 1)], [(8, 1), (82, 1), (293, 1), (301, 1)], [(7, 1), (8, 1), (22, 1), (31, 1), (45, 2), (50, 2), (53, 1), (77, 1), (90, 1), (91, 1), (97, 1), (193, 1), (214, 1), (345, 1), (922, 1), (1751, 1), (2744, 1), (3392, 1), (4699, 1), (5159, 1), (11860, 1), (16241, 1), (16249, 1), (16250, 2)], [(18, 3), (20, 8), (22, 3), (25, 8), (31, 1), (45, 1), (50, 2), (53, 3), (55, 4), (58, 1), (65, 2), (74, 1), (95, 1), (109, 1), (117, 1), (173, 1), (178, 1), (186, 2), (206, 1), (232, 1), (247, 1), (281, 2), (346, 1), (347, 1), (407, 1), (414, 1), (420, 1), (450, 6), (452, 1), (534, 1), (537, 1), (599, 1), (706, 1), (708, 1), (790, 1), (904, 1), (1012, 2), (1069, 1), (1164, 1), (1198, 1), (1465, 1), (1487, 1), (1589, 1), (1766, 1), (2163, 1), (2178, 2), (2307, 1), (2443, 1), (2480, 1), (2490, 1), (2889, 1), (2934, 1), (3426, 1), (3552, 1), (3626, 1), (3837, 1), (4224, 1), (5303, 1), (5545, 1), (5612, 1), (5712, 1), (6158, 1), (6374, 1), (6541, 1), (7212, 1), (7299, 1), (7760, 1), (7826, 1), (11162, 1), (12407, 1), (16251, 1), (16252, 1), (16253, 1), (16254, 1), (16255, 1)], [(8, 1), (18, 1), (20, 2), (65, 1), (74, 1), (77, 1), (185, 1), (1580, 1), (2308, 1), (9492, 1), (16090, 1)], [(23, 1), (53, 1), (58, 1), (66, 1), (117, 1), (215, 1), (232, 1), (345, 1), (10020, 1), (16241, 1)], [(8, 1), (19, 3), (20, 1), (21, 2), (22, 1), (31, 1), (37, 1), (53, 3), (82, 1), (95, 1), (96, 1), (109, 1), (178, 1), (185, 1), (224, 1), (273, 1), (293, 1), (450, 2), (1122, 1), (1235, 1), (1481, 1), (2018, 1), (2271, 1), (2625, 1), (2816, 1), (2934, 1), (3040, 1), (3093, 1), (4977, 1), (5744, 1), (13440, 1), (16256, 1), (16257, 1)], [(8, 1), (20, 1), (29, 1), (31, 1), (37, 1), (50, 2), (53, 4), (55, 1), (90, 1), (111, 1), (193, 1), (301, 1), (599, 1), (792, 1), (1196, 1), (2320, 1), (2480, 1), (5612, 1), (6564, 1), (11925, 1), (16251, 1), (16258, 1)], [(19, 1), (20, 3), (45, 1), (50, 1), (91, 1), (108, 1), (174, 1), (269, 1), (337, 1), (353, 1), (406, 1), (410, 1), (886, 1), (1297, 1), (2359, 1), (3433, 1), (16257, 1)], [(20, 2), (53, 1), (64, 1), (77, 1), (323, 1), (345, 1), (946, 1), (949, 1), (16241, 1), (16259, 1)], [(24, 1), (64, 1), (66, 1), (16190, 1)], [(19, 1), (53, 1), (55, 1), (64, 1), (74, 1), (185, 1), (301, 1), (347, 1), (527, 1), (946, 1), (1685, 1), (1931, 1), (16260, 1)], [(45, 1), (64, 1), (66, 1), (77, 1), (122, 1)], [(19, 2), (20, 3), (22, 1), (25, 3), (37, 2), (53, 1), (64, 1), (77, 1), (84, 2), (90, 1), (108, 1), (117, 1), (172, 1), (193, 2), (217, 1), (232, 1), (256, 1), (287, 1), (290, 1), (334, 1), (419, 1), (448, 1), (527, 1), (586, 1), (751, 1), (946, 1), (3061, 1), (7472, 1), (7573, 1), (13270, 1), (16190, 1), (16261, 1)], [(45, 1), (64, 1), (66, 1), (77, 1), (122, 1)], [(18, 1), (19, 2), (50, 1), (53, 1), (64, 1), (71, 1), (178, 1), (185, 1), (215, 1), (293, 1), (452, 1), (740, 1), (946, 1), (2909, 1), (3061, 1), (3975, 1), (5501, 1), (5829, 1), (16190, 1)], [(45, 1), (64, 1), (66, 1), (77, 1), (122, 1)], [(7, 1), (19, 1), (23, 1), (50, 2), (51, 1), (64, 1), (65, 1), (66, 1), (95, 1), (185, 1), (236, 1), (1580, 2), (1596, 1), (2471, 1), (3689, 1), (5551, 1), (9471, 1), (15403, 1)], [(45, 1), (64, 1), (66, 1), (77, 1), (122, 1)], [(18, 2), (53, 1), (55, 1), (64, 1), (71, 1), (111, 1), (117, 1), (759, 1), (946, 1), (1350, 1), (1723, 1), (2075, 1), (16190, 1), (16262, 1)], [(45, 1), (64, 1), (66, 1), (77, 1), (122, 1)], [(8, 1), (18, 1), (20, 2), (25, 2), (45, 1), (50, 1), (53, 3), (54, 1), (95, 1), (98, 1), (359, 1), (529, 1), (1595, 1), (3244, 1), (5624, 1), (6770, 1), (16190, 1), (16263, 1)], [(7, 1), (8, 1), (18, 3), (19, 2), (20, 5), (30, 1), (31, 2), (45, 1), (50, 2), (53, 4), (71, 1), (88, 1), (90, 1), (195, 2), (263, 1), (269, 1), (428, 1), (448, 2), (531, 1), (601, 1), (834, 1), (853, 1), (963, 1), (1487, 1), (1597, 1), (1642, 1), (1691, 1), (1945, 1), (1964, 1), (2120, 1), (2320, 1), (2531, 1), (2591, 1), (2894, 1), (2934, 1), (3121, 1), (3418, 1), (5624, 1), (6439, 1), (7759, 1), (11162, 1), (13028, 1), (13080, 1), (14793, 1), (16264, 1)], [(8, 1), (10, 2), (11, 2), (19, 1), (20, 2), (25, 2), (31, 1), (53, 4), (55, 1), (71, 1), (90, 1), (97, 1), (108, 1), (117, 1), (173, 2), (232, 1), (285, 2), (293, 1), (345, 1), (347, 1), (415, 1), (459, 1), (504, 1), (529, 1), (553, 1), (1115, 1), (1434, 1), (1580, 1), (1595, 1), (2222, 1), (2245, 1), (2479, 1), (3181, 1), (4402, 1), (5367, 1), (5589, 1), (5612, 2), (6223, 2), (10633, 1), (12312, 1), (12480, 1), (16190, 1), (16265, 1)], [(20, 2), (37, 1), (50, 2), (51, 1), (53, 3), (185, 1), (193, 1), (414, 1), (645, 1), (1248, 1), (1354, 1), (1702, 1), (1714, 1), (2909, 1), (2965, 1), (4057, 1), (9428, 1), (10096, 1), (16266, 1), (16267, 1), (16268, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (50, 1), (53, 4), (54, 1), (71, 1), (90, 1), (95, 1), (109, 1), (122, 1), (182, 1), (185, 1), (190, 1), (195, 1), (269, 1), (970, 1), (7534, 1), (8241, 1), (16190, 1), (16269, 1), (16270, 1)], [(8, 1), (53, 1), (55, 1), (77, 1), (90, 1), (96, 1), (203, 1), (414, 1), (751, 1), (897, 1), (970, 1), (1625, 1), (1899, 1), (2288, 1), (6385, 1), (7399, 1), (16269, 1)], [(8, 1), (24, 1), (217, 1), (225, 1), (753, 1), (1392, 1), (2222, 1), (2258, 1), (3841, 1)], [(8, 1), (53, 1), (58, 1), (108, 1), (301, 1), (434, 1), (2197, 1), (5148, 1), (16271, 1)], [(19, 1), (20, 2), (25, 1), (50, 1), (53, 2), (64, 1), (66, 1), (95, 1), (293, 1), (774, 1), (1041, 1), (1582, 1), (1877, 1), (3201, 1), (6048, 1), (6101, 1), (8548, 1), (8574, 1), (16271, 1)], [(7, 1), (8, 1), (18, 1), (31, 1), (40, 1), (53, 1), (185, 1), (217, 1), (225, 1), (331, 1), (744, 1), (2978, 1), (5760, 1), (8765, 1), (8785, 1), (15463, 1), (16272, 1)], [(20, 1), (25, 1), (53, 4), (172, 1), (301, 1), (623, 1), (706, 1), (743, 1), (1582, 1), (1714, 1), (2149, 1), (8548, 1)], [(20, 1), (90, 1), (108, 1), (126, 1), (247, 1), (295, 1), (2197, 1), (16108, 1)], [(20, 4), (45, 1), (51, 1), (55, 1), (64, 2), (65, 2), (66, 1), (71, 1), (77, 1), (90, 1), (111, 1), (117, 3), (232, 3), (269, 1), (295, 3), (359, 1), (392, 1), (414, 1), (531, 1), (623, 1), (830, 1), (1163, 1), (1582, 1), (1777, 1), (1820, 1), (3325, 1), (6517, 1), (7191, 1), (7690, 1), (8548, 4), (15095, 1), (15619, 1), (16273, 1), (16274, 1), (16275, 1), (16276, 1), (16277, 1)], [(8, 1), (18, 1), (31, 1), (50, 1), (53, 2), (54, 2), (95, 1), (111, 1), (117, 1), (185, 1), (193, 1), (346, 1), (420, 1), (790, 1), (1166, 1), (1293, 1), (1342, 1), (1399, 1), (2401, 1), (2614, 1), (2839, 1), (4044, 1), (4806, 1), (16278, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (31, 2), (53, 2), (58, 1), (77, 3), (82, 1), (97, 1), (108, 1), (185, 1), (301, 1), (516, 1), (623, 1), (695, 1), (706, 1), (790, 1), (922, 1), (6866, 1), (10852, 1), (12276, 1), (16275, 1)], [(18, 2), (19, 1), (20, 1), (53, 1), (55, 1), (71, 1), (77, 1), (301, 1), (623, 1), (1714, 1), (2139, 1), (8548, 1), (16279, 1)], [(8, 1), (226, 1), (830, 1), (1875, 1), (8192, 1), (9423, 1), (16280, 1)], [(7, 1), (8, 1), (20, 1), (21, 1), (22, 1), (25, 2), (50, 1), (53, 5), (74, 1), (95, 1), (117, 1), (214, 1), (232, 1), (293, 1), (320, 2), (351, 1), (418, 1), (526, 1), (962, 1), (966, 1), (969, 1), (972, 1), (973, 1), (975, 1), (1235, 1), (1487, 1), (2479, 1), (3841, 1), (5391, 1), (8177, 1), (8805, 1), (9261, 1), (16248, 1), (16281, 1)], [(7, 1), (8, 1), (19, 2), (20, 4), (22, 1), (23, 1), (25, 1), (31, 1), (50, 1), (53, 6), (58, 1), (71, 2), (74, 1), (82, 1), (90, 3), (95, 1), (97, 1), (161, 1), (203, 1), (215, 1), (225, 1), (256, 1), (281, 1), (415, 1), (448, 1), (506, 1), (675, 1), (697, 1), (706, 1), (830, 1), (922, 1), (964, 1), (972, 1), (1196, 1), (1310, 1), (1393, 1), (1582, 1), (1733, 1), (1853, 1), (3034, 1), (5417, 1), (5583, 1), (6348, 1), (7690, 1), (8069, 1), (9413, 1), (9453, 1), (13316, 1), (14222, 1), (16282, 1), (16283, 1)], [(8, 1), (18, 1), (20, 1), (31, 2), (37, 1), (260, 1), (328, 1), (331, 1), (487, 1), (675, 1), (1820, 1), (2197, 1), (3841, 1)], [(1544, 1), (16284, 1)], [(8, 1), (24, 2), (65, 1), (6129, 1), (15155, 1), (16285, 1), (16286, 1)], [(19, 1), (20, 1), (31, 1), (50, 1), (53, 1), (54, 1), (58, 1), (64, 1), (66, 1), (82, 1), (108, 1), (185, 1), (210, 1), (359, 1), (383, 1), (1823, 1), (2582, 1), (9062, 1), (10906, 1), (14127, 1), (16287, 1), (16288, 1)], [(8, 3), (20, 1), (589, 1), (610, 1), (611, 1), (614, 1), (615, 1)], [(8, 1), (18, 2), (20, 4), (25, 1), (50, 1), (53, 4), (54, 1), (65, 1), (90, 1), (111, 1), (117, 1), (122, 1), (124, 1), (228, 1), (232, 1), (261, 1), (306, 1), (337, 1), (361, 1), (365, 1), (414, 1), (418, 1), (419, 1), (420, 1), (459, 1), (777, 1), (833, 1), (1248, 1), (1557, 1), (1588, 1), (1713, 1), (1800, 1), (2064, 1), (2096, 1), (2344, 1), (2362, 1), (2648, 1), (5376, 1), (6129, 1), (6623, 1), (9804, 1), (13742, 1), (16289, 1), (16290, 1), (16291, 1)], [(8, 1), (25, 1), (31, 1), (53, 1), (54, 1), (82, 1), (126, 1), (365, 1), (452, 1), (846, 1), (1393, 1), (2093, 1), (2475, 1)], [(8, 1), (20, 1), (23, 1), (32, 1), (50, 1), (53, 1), (64, 2), (90, 1), (187, 1), (190, 1), (214, 1), (233, 1), (361, 1), (415, 1), (419, 1), (448, 1), (834, 1), (1163, 1), (1901, 1), (3157, 1), (3289, 1), (7295, 1), (8599, 1), (15887, 1), (16292, 1)], [(23, 1), (66, 1), (174, 1), (186, 1), (236, 1), (285, 1), (307, 1), (711, 1), (7463, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (31, 2), (50, 1), (53, 2), (71, 1), (90, 1), (95, 1), (203, 1), (246, 1), (328, 1), (448, 1), (709, 1), (813, 1), (1245, 1), (2324, 1), (2921, 1), (3379, 1), (3782, 1), (5921, 1), (7113, 1), (7382, 1), (7506, 1), (8541, 1), (16293, 1)], [(7, 1), (8, 1), (18, 2), (20, 7), (22, 1), (25, 4), (30, 1), (45, 1), (50, 1), (53, 5), (54, 1), (58, 1), (65, 1), (71, 1), (77, 1), (90, 4), (95, 3), (96, 1), (109, 1), (203, 1), (209, 1), (225, 1), (293, 1), (365, 2), (414, 1), (419, 1), (531, 1), (940, 1), (1255, 1), (1939, 1), (2190, 1), (2639, 1), (2655, 1), (3040, 1), (3256, 1), (3633, 1), (3751, 1), (4349, 1), (5091, 1), (5821, 1), (6160, 1), (6332, 1), (7382, 1), (9184, 1), (10469, 1), (11548, 1), (12181, 1), (13084, 1), (15566, 1), (15823, 1), (16294, 1), (16295, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (31, 1), (53, 3), (71, 1), (96, 1), (122, 1), (203, 1), (214, 1), (240, 1), (420, 1), (531, 2), (672, 1), (744, 1), (830, 1), (833, 1), (1519, 1), (1526, 1), (1647, 1), (2470, 1), (8214, 1), (9045, 1), (9629, 1), (13144, 1), (14461, 1), (16296, 1), (16297, 1), (16298, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (50, 1), (58, 2), (77, 1), (90, 1), (91, 1), (166, 1), (241, 1), (268, 1), (448, 1), (1310, 1), (2785, 1), (4676, 1), (4809, 1), (6805, 1), (7382, 1), (16299, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (50, 4), (53, 3), (58, 1), (65, 2), (77, 1), (90, 1), (109, 1), (190, 1), (214, 1), (268, 1), (323, 1), (328, 1), (452, 1), (537, 1), (723, 1), (744, 1), (834, 1), (1040, 1), (1685, 1), (1702, 1), (1742, 1), (2666, 1), (4465, 1), (4563, 1), (5386, 1), (6725, 1), (8853, 1), (8962, 1), (16300, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (25, 1), (50, 1), (53, 3), (55, 1), (90, 1), (95, 2), (124, 1), (185, 1), (260, 1), (347, 1), (419, 1), (726, 1), (763, 1), (833, 1), (903, 1), (1702, 1), (2077, 2), (5664, 1), (6332, 1), (6973, 1), (7382, 1), (15324, 1), (16064, 1), (16301, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 1), (50, 3), (55, 1), (58, 1), (69, 1), (71, 1), (78, 1), (85, 1), (90, 1), (111, 1), (186, 1), (187, 1), (269, 1), (359, 1), (450, 1), (516, 1), (537, 1), (578, 1), (813, 1), (834, 1), (1277, 1), (1470, 1), (2005, 1), (2406, 1), (3296, 1), (3409, 1), (3552, 1), (5161, 1), (6880, 1), (9512, 1), (16302, 1), (16303, 1), (16304, 1)], [(8, 1), (18, 1), (20, 2), (31, 2), (34, 1), (40, 1), (45, 1), (53, 1), (90, 1), (95, 1), (173, 1), (185, 1), (186, 1), (187, 1), (190, 1), (193, 1), (201, 1), (215, 1), (268, 1), (289, 1), (292, 1), (419, 1), (744, 1), (830, 1), (990, 1), (1909, 1), (2018, 1), (2184, 1), (2639, 1), (3828, 1), (3923, 1), (5176, 1), (10069, 1), (10860, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (31, 1), (32, 1), (45, 1), (50, 2), (53, 3), (65, 1), (90, 2), (173, 1), (187, 1), (206, 1), (269, 1), (293, 1), (347, 1), (459, 1), (623, 1), (1122, 1), (1732, 1), (2615, 1), (3040, 1), (3388, 1), (3685, 1), (5471, 1), (5738, 1), (6129, 1), (7295, 1), (9025, 1), (9774, 1), (14206, 1), (15931, 1)], [(18, 2), (20, 3), (31, 1), (32, 1), (53, 1), (64, 2), (108, 1), (117, 3), (173, 1), (232, 3), (247, 1), (295, 1), (328, 1), (351, 1), (709, 1), (1163, 1), (1172, 1), (1180, 1), (2965, 1), (4282, 1), (4377, 1), (7059, 1), (16305, 1)], [(8, 1), (18, 1), (19, 1), (20, 9), (22, 5), (23, 2), (25, 3), (31, 1), (37, 2), (50, 5), (53, 5), (55, 3), (71, 1), (74, 1), (77, 2), (84, 1), (90, 4), (91, 1), (95, 1), (108, 2), (109, 1), (117, 3), (173, 1), (178, 1), (190, 1), (206, 2), (214, 1), (225, 1), (226, 1), (232, 2), (240, 1), (256, 2), (263, 1), (275, 2), (278, 1), (295, 1), (328, 2), (415, 1), (419, 1), (428, 1), (442, 1), (450, 3), (487, 1), (537, 1), (676, 1), (711, 1), (756, 1), (759, 1), (913, 1), (1170, 1), (1253, 1), (1615, 1), (1723, 2), (1867, 1), (1898, 1), (1904, 1), (1966, 1), (2272, 1), (2757, 1), (2877, 1), (2879, 1), (3034, 2), (3162, 1), (3291, 1), (3552, 1), (3889, 1), (4073, 1), (4390, 2), (4517, 1), (4924, 1), (5199, 1), (5548, 1), (5948, 1), (6623, 1), (7760, 1), (7892, 1), (11826, 1), (15887, 1), (16306, 1), (16307, 1), (16308, 1), (16309, 1), (16310, 1), (16311, 1)], [(167, 1), (247, 1), (2509, 1)], [(8, 1), (18, 3), (20, 3), (23, 1), (25, 1), (30, 1), (50, 1), (108, 1), (117, 2), (232, 2), (269, 1), (273, 1), (448, 1), (498, 1), (537, 1), (884, 1), (885, 1), (1122, 1), (2284, 1), (3102, 1), (3446, 1), (4296, 1), (4778, 1), (7176, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (22, 1), (31, 2), (71, 1), (82, 1), (90, 1), (95, 1), (96, 1), (109, 1), (117, 2), (173, 1), (268, 1), (286, 1), (328, 1), (537, 1), (759, 1), (1615, 1), (2569, 1), (2854, 1), (3278, 1), (4159, 1), (4756, 1), (4896, 1), (15887, 1), (16312, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 6), (22, 2), (23, 2), (25, 1), (32, 1), (50, 3), (53, 1), (58, 2), (85, 1), (90, 2), (95, 1), (108, 1), (109, 1), (117, 2), (124, 2), (173, 1), (186, 1), (206, 1), (215, 1), (331, 1), (342, 1), (415, 1), (442, 1), (537, 2), (738, 1), (765, 1), (830, 1), (833, 2), (1102, 1), (1248, 1), (1615, 2), (1901, 1), (2149, 1), (2178, 1), (2854, 2), (2870, 1), (3162, 1), (3832, 1), (6846, 1), (6979, 1), (8896, 1), (12713, 1), (13404, 1), (16313, 1)], [(8, 1), (23, 1), (32, 1), (50, 1), (51, 1), (84, 1), (90, 1), (225, 1), (236, 1), (504, 1), (645, 1), (2202, 1)], [(8, 1), (117, 1), (122, 1), (232, 1), (2870, 1), (3832, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (53, 1), (58, 1), (65, 1), (108, 2), (117, 1), (173, 1), (293, 1), (1778, 1), (2064, 1), (2075, 1), (2211, 1), (3073, 1), (3091, 1), (3279, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (32, 1), (50, 1), (53, 3), (54, 1), (55, 1), (90, 1), (111, 1), (185, 1), (186, 1), (268, 2), (293, 1), (347, 1), (490, 1), (580, 1), (639, 1), (846, 1), (1010, 1), (1041, 1), (1342, 1), (1458, 1), (2627, 1), (2657, 1), (2986, 1), (3701, 1), (4556, 1), (5409, 1), (6129, 1), (11514, 1), (16314, 1), (16315, 1)], [(8, 1), (20, 2), (25, 1), (32, 1), (45, 1), (53, 2), (72, 1), (108, 1), (109, 1), (117, 1), (232, 1), (373, 1), (708, 1), (1506, 1), (3040, 1), (3438, 1), (4729, 1), (7295, 1), (16316, 1)], [(8, 1), (18, 3), (20, 4), (22, 1), (25, 2), (31, 3), (50, 3), (53, 4), (54, 2), (55, 1), (58, 1), (65, 1), (90, 1), (108, 1), (109, 1), (173, 1), (226, 1), (328, 1), (347, 1), (692, 1), (1074, 1), (1131, 1), (1159, 2), (1219, 1), (1328, 1), (1596, 1), (1630, 1), (2332, 1), (2858, 1), (2985, 1), (3879, 1), (4469, 1), (4542, 1), (4544, 1), (4575, 1), (4578, 1), (5952, 1), (6160, 1), (6353, 1), (8642, 1), (9185, 1), (10339, 1), (12010, 1), (12395, 1), (13237, 1), (13381, 1), (13666, 1), (13941, 1), (16317, 1), (16318, 1), (16319, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (54, 1), (64, 1), (65, 2), (81, 1), (111, 1), (173, 1), (185, 2), (706, 1), (709, 1), (829, 1), (1159, 1), (1789, 1), (2816, 1), (2881, 1), (4297, 1), (8422, 1), (10835, 1), (12480, 1), (12650, 1), (16286, 3), (16320, 1), (16321, 1), (16322, 1), (16323, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (30, 1), (50, 1), (53, 5), (65, 1), (82, 1), (98, 1), (329, 1), (706, 1), (792, 1), (1596, 1), (1824, 1), (2117, 1), (2140, 1), (2985, 1), (3200, 1), (3652, 1), (4416, 1), (6005, 1), (7295, 1), (16324, 1), (16325, 1), (16326, 1), (16327, 1)], [(20, 1), (64, 1), (65, 1), (126, 1), (946, 1), (2457, 1), (4563, 1), (6289, 1), (16323, 1)], [(19, 1), (20, 1), (22, 1), (37, 1), (45, 2), (55, 1), (58, 1), (64, 1), (75, 1), (90, 1), (173, 1), (190, 1), (240, 1), (256, 1), (288, 1), (452, 1), (516, 1), (878, 1), (1178, 1), (1685, 1), (2925, 1), (5176, 1), (5912, 1)], [(8, 1), (19, 4), (20, 2), (22, 1), (25, 2), (31, 1), (53, 4), (55, 1), (58, 1), (95, 1), (173, 1), (293, 1), (346, 1), (347, 1), (414, 1), (632, 1), (688, 1), (702, 1), (777, 1), (902, 1), (1115, 1), (1122, 1), (1820, 1), (1867, 1), (2064, 1), (2539, 1), (2639, 1), (4282, 1), (4568, 1), (5031, 1), (9896, 1), (16328, 1)], [(19, 1), (20, 3), (45, 1), (55, 1), (65, 2), (75, 1), (173, 1), (185, 1), (193, 1), (247, 1), (269, 1), (897, 1), (1198, 1), (1335, 1), (1702, 1), (2455, 1), (5176, 1), (5520, 1), (10835, 1), (16286, 1), (16320, 1), (16329, 1)], [(50, 1), (65, 2), (90, 1), (99, 1), (161, 1), (214, 1), (328, 1), (886, 1), (946, 1), (1235, 1), (10835, 1), (16320, 1), (16330, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (53, 2), (64, 1), (65, 2), (71, 1), (85, 1), (109, 1), (323, 1), (645, 1), (1163, 1), (1572, 1), (1693, 1), (1778, 1), (1792, 1), (2406, 1), (7229, 1), (16331, 1)], [(20, 3), (53, 1), (64, 1), (65, 3), (99, 1), (172, 1), (182, 1), (756, 1), (897, 1), (946, 1), (1580, 1), (2013, 1), (10515, 1), (10835, 1), (16286, 1), (16320, 1), (16323, 1)], [(64, 1), (95, 1), (946, 1), (4654, 1)], [(1, 1), (4, 1), (18, 1), (20, 1), (21, 2), (24, 1), (30, 1), (64, 1), (172, 1), (182, 1), (295, 1), (756, 2), (1253, 1), (1714, 1), (16332, 1)], [(8, 1), (18, 1), (50, 1), (64, 1), (95, 1), (744, 1), (2030, 1), (6669, 1)], [(247, 1), (1292, 1), (16333, 1)], [(21, 1), (66, 1), (268, 1), (756, 1), (10515, 1)], [(18, 1), (20, 2), (22, 1), (23, 1), (25, 1), (31, 1), (32, 1), (64, 1), (66, 1), (117, 1), (548, 1), (897, 1), (1458, 1), (2178, 2), (2854, 1), (3633, 1), (6687, 1), (8245, 1)], [(18, 1), (20, 3), (25, 2), (45, 2), (53, 2), (65, 1), (173, 1), (247, 1), (418, 1), (428, 1), (433, 1), (626, 1), (777, 1), (1165, 1), (1167, 1), (1198, 1), (1354, 1), (1694, 1), (2064, 1), (2075, 1), (2157, 1), (3140, 1), (3176, 1), (5016, 1), (6129, 1), (6315, 1), (6357, 1), (7043, 1), (9738, 1), (10422, 1), (11960, 1), (16334, 1)], [(1165, 1), (1178, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (53, 1), (97, 1), (1510, 1), (2816, 1), (6196, 1), (6315, 1), (7295, 1), (16064, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (31, 1), (32, 1), (36, 1), (45, 1), (50, 1), (53, 2), (54, 1), (65, 2), (90, 1), (323, 1), (347, 2), (428, 1), (645, 1), (813, 1), (1731, 1), (2208, 1), (3083, 1), (3685, 1), (3898, 1), (5176, 1), (5482, 1), (6353, 1), (14206, 1), (16331, 1), (16335, 1)], [(20, 1), (53, 1), (55, 1), (64, 1), (117, 1), (232, 1), (324, 1), (328, 1), (596, 1), (946, 1), (1196, 1), (5176, 1)], [(8, 1), (233, 1), (7295, 1)], [(58, 1), (64, 1), (946, 1), (3194, 1)], [(20, 1), (23, 2), (37, 1), (54, 1), (58, 1), (64, 1), (90, 1), (111, 1), (117, 1), (161, 1), (172, 1), (193, 1), (759, 1), (1177, 1), (1178, 1), (2498, 1), (2716, 1), (5176, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (54, 1), (65, 1), (82, 1), (173, 1), (193, 1), (289, 1), (323, 1), (452, 1), (645, 1), (792, 1), (1169, 1), (1470, 1), (9493, 1), (10287, 1), (16331, 1)], [(64, 1), (96, 1), (99, 1), (108, 1), (214, 1), (301, 1), (946, 1), (2541, 1), (16336, 1)], [(20, 1), (64, 1), (247, 1), (527, 1), (1583, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (23, 1), (58, 1), (117, 1), (122, 1), (172, 1), (232, 1), (414, 1), (1867, 1), (5176, 1), (9046, 1)], [(20, 1), (58, 1), (117, 1), (361, 1), (759, 1), (1714, 1), (2011, 1), (10547, 1)], [(18, 1), (20, 3), (22, 1), (23, 1), (50, 1), (65, 2), (190, 1), (273, 1), (295, 1), (434, 1), (743, 1), (946, 1), (1558, 1), (1964, 1), (7164, 1), (8129, 1), (10835, 1), (16286, 1), (16320, 1), (16337, 1), (16338, 1)], [(31, 1), (53, 1), (64, 1), (81, 1), (99, 1), (117, 1), (167, 1), (226, 1), (232, 1), (596, 1), (946, 1), (1685, 1), (2853, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (428, 1), (2383, 1), (3191, 1), (3594, 1), (5728, 1), (16339, 1)], [(64, 1), (247, 1), (1583, 1)], [(21, 1), (1714, 1), (2515, 1), (3197, 2)], [(20, 1), (53, 1), (90, 1), (98, 1), (117, 1), (232, 1), (247, 1), (3162, 1)], [(31, 1), (99, 2), (117, 3), (187, 1), (193, 1), (759, 1), (834, 1), (1529, 1), (1714, 1), (1907, 1), (2149, 1), (2322, 1), (2868, 1), (2906, 1), (8987, 1), (9720, 1)], [(19, 1), (20, 3), (22, 1), (37, 1), (50, 1), (58, 1), (65, 1), (85, 1), (90, 1), (99, 1), (117, 1), (161, 1), (187, 1), (232, 1), (301, 1), (537, 1), (744, 1), (1102, 1), (1615, 1), (1685, 1), (1714, 1), (2870, 1), (3034, 1), (3782, 1), (6856, 1), (16286, 1), (16323, 1), (16340, 1)], [(18, 1), (20, 2), (31, 1), (45, 1), (66, 1), (90, 1), (108, 1), (117, 1), (173, 1), (186, 1), (209, 1), (269, 1), (328, 1), (759, 1), (2985, 1), (6931, 1), (7036, 1), (10273, 1), (16341, 1)], [(8, 1), (18, 1), (20, 2), (22, 3), (23, 1), (34, 1), (45, 1), (53, 1), (54, 1), (58, 1), (64, 1), (77, 1), (90, 1), (117, 2), (173, 1), (185, 1), (226, 1), (240, 1), (256, 1), (295, 1), (307, 1), (759, 1), (763, 1), (1075, 1), (1488, 1), (1904, 1), (1966, 1), (2048, 1), (3034, 1), (3291, 1), (6169, 1), (16342, 1)], [(20, 2), (22, 1), (23, 1), (25, 2), (50, 1), (66, 1), (85, 1), (99, 1), (117, 3), (173, 2), (185, 1), (293, 1), (301, 1), (504, 1), (506, 1), (702, 1), (759, 1), (1615, 1), (2048, 1), (2566, 1), (2854, 2), (3291, 1), (3482, 1), (7072, 1), (16343, 1)], [(8, 1), (19, 2), (20, 2), (25, 2), (53, 1), (55, 1), (64, 1), (90, 1), (173, 1), (295, 1), (1163, 1), (1180, 1), (1580, 1), (1627, 1), (2064, 1), (2475, 1), (2971, 1), (4167, 1), (7046, 1), (7218, 1), (7229, 1), (7295, 1)], [(8, 1), (18, 1), (52, 1), (351, 1), (1392, 1), (2139, 1), (2648, 1)], [(8, 1), (20, 2), (24, 1), (31, 2), (50, 1), (53, 2), (108, 1), (187, 1), (459, 1), (2076, 1), (2332, 1), (3061, 1), (3378, 1), (4470, 1), (8036, 1), (9147, 1), (11964, 1), (13955, 1)], [(8, 1), (18, 1), (20, 1), (25, 2), (31, 1), (256, 1), (301, 1), (452, 1), (711, 1), (903, 1), (1964, 1), (2005, 1), (2178, 1), (4941, 1), (8024, 1), (10148, 1), (12185, 1), (13173, 1)], [(8, 1), (65, 1), (109, 1), (228, 1), (293, 1), (450, 2), (516, 1), (2402, 1), (2849, 1), (5376, 1), (9942, 1), (16344, 1), (16345, 1), (16346, 1)], [(8, 1), (19, 2), (20, 1), (25, 2), (50, 1), (53, 1), (65, 1), (91, 1), (186, 1), (285, 1), (317, 1), (346, 1), (448, 1), (450, 1), (608, 1), (706, 1), (742, 1), (897, 1), (1010, 1), (1262, 1), (1615, 1), (1830, 1), (16290, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (53, 1), (58, 1), (65, 1), (193, 1), (285, 1), (450, 1), (711, 1), (757, 1), (1984, 1), (2978, 1), (3358, 1), (3876, 1), (5368, 1), (5681, 1), (8142, 1), (12292, 1), (14461, 1), (14641, 1)], [(8, 1), (20, 2), (50, 1), (53, 2), (58, 1), (65, 1), (69, 1), (90, 1), (193, 1), (293, 1), (450, 2), (459, 1), (708, 1), (724, 1), (1485, 1), (1498, 1), (1801, 1), (2716, 1), (2760, 1), (3093, 1), (3588, 1), (3622, 1), (5627, 1), (12935, 1), (14234, 1), (15584, 1), (16347, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (22, 1), (25, 2), (31, 1), (50, 1), (53, 2), (54, 2), (65, 1), (90, 1), (97, 1), (109, 3), (117, 1), (232, 1), (388, 1), (686, 1), (726, 1), (1122, 1), (1477, 1), (1695, 1), (1904, 1), (2321, 1), (2345, 1), (2368, 1), (2501, 1), (2548, 1), (2977, 1), (2978, 1), (5825, 1), (7295, 1), (12639, 1), (14824, 1), (16348, 1), (16349, 1), (16350, 1)], [(8, 1), (10, 1), (11, 1), (19, 2), (20, 4), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 5), (54, 1), (58, 1), (65, 1), (72, 1), (82, 1), (85, 1), (106, 1), (117, 1), (166, 1), (173, 1), (193, 1), (232, 1), (256, 1), (305, 1), (323, 1), (337, 1), (347, 1), (361, 1), (899, 1), (1122, 1), (1377, 1), (1702, 1), (1823, 1), (1904, 1), (2173, 1), (2321, 1), (2744, 1), (2912, 1), (3401, 1), (3577, 1), (4934, 1), (16351, 1), (16352, 1), (16353, 1), (16354, 1), (16355, 1), (16356, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (25, 2), (30, 1), (37, 2), (45, 3), (50, 1), (53, 2), (55, 1), (65, 1), (91, 1), (97, 1), (108, 1), (185, 1), (215, 1), (240, 1), (293, 1), (323, 1), (347, 2), (428, 1), (443, 1), (645, 1), (884, 1), (1572, 1), (1574, 1), (1904, 1), (3040, 1), (3557, 1), (3785, 1), (5321, 1), (6361, 1), (6867, 1), (7295, 1), (9045, 1), (11436, 1), (16331, 1), (16357, 1), (16358, 1), (16359, 1), (16360, 1), (16361, 1)], [(8, 1), (20, 1), (30, 1), (53, 3), (65, 1), (82, 1), (90, 1), (347, 1), (645, 1), (2772, 1), (3330, 1), (3532, 1), (3999, 1), (4720, 1), (6353, 1), (7295, 1), (16313, 1), (16331, 1), (16362, 1)], [(8, 1), (18, 1), (20, 3), (25, 2), (30, 1), (36, 1), (37, 1), (45, 2), (50, 1), (53, 2), (54, 1), (55, 1), (90, 2), (108, 1), (193, 1), (256, 1), (293, 1), (414, 1), (418, 1), (450, 1), (654, 1), (706, 1), (884, 1), (1904, 1), (1929, 1), (2479, 1), (2978, 1), (3030, 1), (3204, 1), (3255, 1), (3273, 1), (3914, 1), (4299, 1), (4496, 1), (5353, 1), (6080, 1), (10868, 1), (16363, 1), (16364, 1), (16365, 1)], [(8, 1), (19, 3), (20, 5), (22, 1), (25, 1), (30, 1), (31, 1), (50, 2), (53, 3), (54, 2), (65, 1), (90, 1), (96, 1), (108, 1), (109, 1), (117, 1), (161, 1), (173, 2), (185, 1), (215, 2), (232, 1), (256, 1), (309, 1), (531, 1), (645, 1), (702, 1), (743, 1), (884, 1), (1487, 1), (1904, 1), (2145, 1), (2242, 1), (3030, 1), (3047, 1), (3557, 1), (4205, 1), (5811, 1), (6856, 1), (7295, 2), (8306, 1), (8815, 1), (11697, 1), (16331, 1), (16366, 1), (16367, 1)], [(8, 1), (45, 1), (109, 1), (185, 1), (411, 1), (450, 1), (639, 1), (1342, 1), (2268, 1), (4729, 1), (16368, 1)], [(8, 1), (18, 3), (20, 3), (22, 1), (25, 3), (36, 1), (45, 1), (54, 1), (55, 2), (65, 2), (108, 1), (193, 1), (201, 1), (256, 1), (365, 1), (632, 1), (645, 1), (829, 1), (1325, 1), (1695, 1), (1964, 1), (2276, 1), (2332, 1), (2343, 1), (3121, 1), (5525, 1), (6447, 1), (7346, 1), (9161, 1), (10198, 1), (14455, 1), (14818, 1), (16369, 1)], [(7, 1), (8, 1), (20, 2), (32, 1), (50, 1), (53, 2), (54, 1), (65, 1), (91, 1), (185, 1), (193, 1), (323, 1), (414, 1), (553, 1), (645, 1), (776, 1), (1186, 1), (2036, 1), (2140, 1), (3640, 1), (5065, 1), (5612, 1), (7295, 1), (9548, 1), (16331, 1), (16370, 1)], [(19, 1), (23, 1), (30, 1), (64, 1), (273, 1), (292, 1), (596, 1), (763, 1), (946, 1)], [(8, 1), (173, 1), (233, 1)], [(7, 1), (18, 2), (19, 2), (20, 3), (23, 1), (25, 2), (30, 1), (50, 1), (53, 2), (64, 2), (66, 1), (71, 1), (90, 1), (99, 1), (117, 1), (173, 1), (215, 1), (233, 1), (240, 1), (506, 1), (759, 1), (813, 1), (830, 1), (1102, 1), (1163, 1), (1845, 1), (1892, 1), (1907, 1), (2343, 1), (2826, 1), (3173, 1), (3305, 1), (3942, 1), (4819, 1), (6447, 1), (7295, 1), (14455, 1), (16369, 1), (16371, 1)], [(18, 3), (19, 1), (20, 7), (25, 1), (31, 1), (36, 1), (37, 1), (45, 2), (50, 1), (53, 1), (55, 1), (64, 2), (65, 2), (66, 1), (90, 1), (95, 1), (109, 1), (233, 1), (246, 1), (347, 2), (443, 1), (462, 1), (488, 1), (645, 1), (709, 1), (711, 1), (774, 1), (1163, 1), (1308, 1), (1325, 2), (1572, 1), (1574, 1), (1792, 1), (2076, 1), (2490, 1), (2639, 1), (3389, 1), (4349, 1), (4372, 1), (6160, 1), (7382, 1), (12178, 1), (16331, 1), (16372, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (53, 1), (124, 1), (185, 1), (1325, 1), (1479, 1), (2211, 1), (2816, 1), (2823, 1), (3034, 1)], [(32, 1), (64, 1), (596, 1), (946, 1)], [(8, 1), (19, 1), (53, 1), (65, 1), (233, 1), (645, 1), (7295, 1), (16331, 1)], [(8, 2), (18, 2), (19, 1), (20, 3), (23, 2), (30, 2), (32, 1), (58, 1), (64, 1), (65, 1), (90, 2), (95, 1), (117, 2), (124, 1), (172, 1), (173, 2), (232, 1), (268, 1), (293, 1), (526, 1), (605, 1), (709, 1), (833, 1), (1845, 1), (1929, 1), (2126, 1), (2145, 1), (2887, 1), (3073, 1), (3532, 1), (3539, 1), (4666, 1), (4896, 1), (9806, 1), (10074, 1), (16373, 1)], [(18, 1), (20, 1), (30, 1), (66, 1), (109, 1), (117, 1), (173, 1), (232, 1), (359, 1), (506, 1), (2145, 1), (2666, 1), (16374, 1)], [(19, 1), (20, 8), (22, 1), (25, 1), (31, 1), (36, 1), (53, 3), (64, 1), (66, 1), (74, 1), (77, 1), (84, 1), (90, 1), (95, 1), (109, 1), (124, 1), (173, 1), (206, 1), (215, 1), (269, 2), (415, 1), (419, 1), (434, 1), (451, 1), (703, 1), (833, 1), (1348, 1), (1571, 1), (2241, 1), (2639, 1), (4326, 1), (6252, 1), (7036, 1), (8737, 1), (16372, 2), (16375, 1), (16376, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 3), (31, 1), (45, 1), (53, 5), (65, 1), (109, 1), (187, 1), (193, 1), (709, 1), (776, 1), (824, 1), (1325, 1), (1462, 1), (1506, 1), (2390, 1), (3611, 1), (3685, 1), (3735, 1), (3867, 1), (4473, 1), (4731, 1), (4736, 1), (4912, 1), (5482, 1), (6252, 1), (11964, 1), (16377, 1)], [(32, 1), (64, 1), (596, 1), (946, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (65, 1), (91, 1), (233, 1), (347, 1), (420, 1), (645, 1), (1510, 1), (1904, 1), (16331, 1)], [(10, 1), (11, 1), (19, 1), (20, 4), (21, 2), (22, 1), (23, 1), (25, 1), (30, 3), (31, 1), (32, 1), (34, 1), (64, 1), (66, 1), (90, 2), (99, 1), (117, 1), (215, 1), (240, 1), (498, 1), (506, 1), (830, 1), (1377, 1), (1499, 1), (1845, 1), (2016, 1), (2145, 2), (2666, 1), (3069, 1), (3162, 1), (3782, 1), (7055, 1), (16378, 1)], [(19, 2), (20, 2), (36, 1), (50, 1), (64, 1), (66, 1), (90, 1), (117, 1), (161, 1), (172, 1), (173, 1), (217, 1), (232, 1), (434, 1), (452, 1), (2334, 1), (2490, 1), (8003, 1), (16372, 1)], [(7, 1), (8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (20, 1), (25, 2), (45, 1), (50, 1), (53, 2), (90, 1), (185, 1), (310, 1), (428, 1), (459, 1), (711, 1), (1325, 1), (1377, 1), (1572, 1), (1875, 1), (3415, 1), (4729, 1), (4845, 1), (5038, 1), (5471, 1), (5679, 1), (7295, 1), (9754, 1), (10118, 1), (16379, 1), (16380, 1)], [(8, 1), (18, 1), (19, 1), (30, 1), (36, 1), (50, 1), (53, 1), (55, 1), (64, 1), (88, 1), (99, 1), (233, 1), (284, 1), (1163, 1), (2482, 1), (6524, 1), (16366, 1)], [(8, 1), (19, 1), (22, 1), (23, 1), (30, 2), (53, 1), (55, 1), (58, 1), (64, 1), (117, 2), (232, 1), (256, 1), (305, 1), (645, 1), (1580, 1), (2145, 1), (3069, 1), (5679, 1), (8502, 1), (10519, 1), (16378, 1), (16381, 1)], [(20, 1), (23, 1), (30, 1), (66, 1), (203, 1), (287, 1), (359, 1), (2145, 1), (2666, 1)], [(19, 2), (20, 5), (22, 1), (25, 1), (36, 1), (37, 1), (45, 2), (50, 1), (53, 1), (58, 1), (64, 1), (66, 1), (90, 2), (108, 1), (109, 1), (117, 3), (187, 1), (206, 1), (232, 1), (256, 1), (293, 1), (347, 1), (361, 1), (404, 1), (454, 1), (504, 1), (580, 1), (709, 1), (711, 1), (759, 2), (897, 1), (913, 1), (1324, 1), (1830, 1), (2265, 1), (2490, 1), (3291, 2), (3476, 1), (5679, 1), (6524, 1), (7348, 1), (8502, 1), (9787, 1), (9896, 1), (16372, 3), (16382, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 4), (25, 1), (31, 1), (45, 2), (50, 1), (53, 5), (54, 1), (65, 2), (85, 1), (90, 1), (91, 1), (95, 1), (96, 1), (109, 1), (117, 1), (166, 1), (173, 2), (174, 1), (185, 2), (232, 1), (285, 1), (373, 2), (418, 1), (428, 1), (632, 2), (639, 1), (645, 1), (709, 1), (713, 1), (777, 1), (1239, 1), (1342, 1), (1498, 1), (1685, 1), (1932, 1), (2912, 1), (3061, 1), (3941, 1), (6036, 1), (6309, 1), (7295, 1), (10422, 1), (16331, 1)], [(8, 1), (18, 1), (20, 4), (31, 1), (45, 1), (53, 3), (65, 1), (68, 1), (85, 1), (95, 1), (117, 1), (174, 1), (193, 1), (232, 1), (269, 1), (407, 1), (415, 1), (459, 1), (697, 2), (709, 1), (713, 1), (897, 1), (898, 1), (913, 1), (1238, 1), (1239, 1), (1324, 1), (4272, 1), (7295, 1), (9548, 1), (13882, 1), (16064, 1), (16383, 1), (16384, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (30, 1), (31, 1), (45, 2), (53, 3), (95, 2), (109, 1), (117, 1), (186, 1), (232, 1), (708, 1), (913, 1), (1245, 1), (1529, 1), (1627, 1), (2036, 1), (2921, 1), (3379, 1), (3574, 1), (3590, 1), (4473, 1), (4736, 1), (5664, 1), (6129, 1), (7295, 2), (16064, 1), (16385, 1)], [(8, 1), (19, 3), (20, 2), (25, 1), (26, 1), (45, 2), (50, 2), (53, 3), (193, 1), (416, 1), (691, 1), (705, 1), (776, 1), (3438, 1), (3914, 1), (4295, 1), (6129, 1), (7223, 1), (7295, 1), (10583, 1), (12078, 1), (16386, 1), (16387, 1), (16388, 1), (16389, 1)], [(8, 1), (18, 1), (20, 2), (26, 1), (31, 1), (45, 1), (53, 2), (65, 1), (173, 1), (373, 1), (531, 1), (632, 1), (686, 1), (884, 1), (2467, 1), (3357, 1), (8918, 1), (14206, 1), (16390, 1), (16391, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 2), (31, 2), (45, 1), (51, 1), (53, 2), (54, 2), (58, 1), (69, 1), (172, 1), (173, 1), (186, 1), (193, 1), (236, 1), (285, 1), (305, 1), (328, 1), (365, 1), (406, 1), (420, 1), (516, 1), (534, 1), (865, 1), (1235, 1), (1477, 1), (1574, 1), (2705, 1), (4317, 1), (4889, 1), (5716, 1), (8996, 1), (14158, 1), (14206, 1), (16392, 1), (16393, 1), (16394, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (37, 1), (65, 1), (117, 1), (215, 2), (232, 1), (373, 1), (450, 1), (459, 1), (1012, 1), (1479, 1), (1506, 1), (1695, 1), (1792, 1), (2280, 1), (3000, 1), (4165, 1), (5910, 1), (12332, 1), (13917, 1)], [(8, 1), (20, 4), (25, 4), (37, 1), (53, 1), (91, 1), (331, 1), (459, 1), (1255, 1), (1342, 1), (1940, 1), (4934, 1), (6391, 1), (7438, 1), (8046, 1), (12549, 1), (14613, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (25, 1), (29, 1), (37, 1), (50, 3), (53, 3), (54, 1), (55, 2), (58, 2), (85, 1), (92, 1), (97, 1), (108, 1), (109, 1), (185, 1), (190, 1), (193, 1), (215, 2), (269, 1), (328, 1), (420, 1), (428, 1), (452, 1), (654, 2), (660, 1), (827, 1), (897, 1), (1170, 1), (1342, 1), (1613, 1), (1856, 1), (1956, 1), (2223, 1), (2265, 1), (2543, 1), (2657, 1), (2954, 1), (3363, 1), (3574, 1), (4440, 1), (4796, 1), (5912, 1), (7037, 1), (7227, 1), (7295, 1), (9831, 1), (10231, 1), (11241, 1), (14461, 1), (16301, 1), (16395, 1)], [(18, 1), (20, 4), (23, 2), (31, 1), (53, 1), (55, 1), (58, 2), (64, 2), (172, 2), (247, 1), (1163, 1), (1395, 1), (1599, 1), (1901, 1), (2925, 1), (5135, 1), (7295, 1), (10033, 1), (11565, 1)], [(18, 1), (1178, 1), (1599, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (31, 1), (45, 1), (50, 1), (51, 1), (85, 1), (90, 1), (111, 1), (173, 1), (452, 1), (516, 1), (1354, 1), (1848, 1), (1901, 1), (2304, 1), (2479, 1), (2501, 1), (3791, 1), (3880, 1), (3951, 1), (5397, 1), (5707, 1), (6002, 1), (7429, 1), (9096, 1), (10447, 1), (14151, 1), (14206, 1), (16396, 1)], [(8, 1), (18, 1), (22, 1), (25, 1), (50, 1), (55, 1), (58, 2), (77, 1), (324, 1), (601, 1), (1074, 1), (2036, 1), (2370, 1), (2705, 1), (3398, 1), (3937, 1), (11781, 1), (12114, 1), (16397, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (77, 1), (161, 1), (185, 1), (311, 1), (331, 1), (531, 1), (2178, 1), (3832, 1), (4165, 1), (8867, 1), (16313, 1), (16398, 1), (16399, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 2), (31, 1), (53, 2), (54, 1), (58, 1), (82, 1), (91, 1), (108, 1), (117, 1), (124, 2), (172, 1), (217, 1), (232, 1), (256, 1), (285, 1), (365, 1), (414, 1), (459, 2), (462, 1), (482, 1), (601, 1), (702, 1), (709, 1), (757, 1), (1363, 1), (1499, 1), (1702, 1), (1848, 1), (2016, 1), (2178, 1), (2390, 1), (4666, 1), (4731, 1), (5749, 1), (6315, 1), (6687, 1), (7295, 1), (8201, 1), (8853, 1), (16400, 1), (16401, 1)], [(1544, 1), (16402, 1)], [(8, 1), (16403, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 1), (50, 3), (53, 2), (54, 1), (65, 1), (77, 1), (90, 2), (185, 1), (193, 1), (215, 1), (293, 1), (346, 1), (414, 1), (452, 1), (526, 1), (531, 1), (852, 1), (1235, 1), (1361, 1), (1648, 1), (1904, 1), (2419, 1), (2669, 1), (2770, 1), (3495, 1), (3586, 1), (4402, 1), (5339, 1), (7186, 1), (16313, 1), (16404, 1), (16405, 1), (16406, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (50, 1), (53, 2), (90, 1), (193, 1), (286, 1), (361, 1), (516, 1), (599, 1), (1282, 1), (1342, 1), (1392, 1), (2785, 1), (3661, 1), (4908, 1), (5169, 1), (6144, 1), (9395, 1), (9534, 1), (14315, 1), (16313, 1)], [(8, 1), (20, 1), (53, 3), (77, 1), (98, 1), (108, 1), (214, 1), (256, 1), (418, 1), (1824, 1), (1929, 1), (2117, 1), (4525, 1), (6160, 1), (7206, 1), (11332, 1), (14315, 1), (16313, 1), (16407, 1)], [(8, 1), (20, 3), (31, 1), (53, 2), (65, 1), (77, 2), (186, 1), (193, 1), (281, 1), (286, 1), (365, 2), (414, 1), (441, 1), (448, 1), (489, 1), (791, 1), (812, 1), (894, 2), (1102, 1), (1348, 1), (2744, 1), (5409, 1), (5586, 1), (8423, 1), (14315, 1), (16313, 1), (16408, 1)], [(8, 1), (18, 1), (19, 1), (20, 13), (22, 1), (25, 4), (31, 2), (58, 1), (65, 2), (77, 3), (90, 1), (108, 2), (256, 1), (293, 1), (382, 1), (724, 1), (1399, 1), (1903, 1), (2291, 1), (2320, 1), (2691, 1), (2839, 2), (2877, 1), (3103, 1), (4402, 1), (5608, 1), (7760, 1), (9859, 1), (13316, 1), (14266, 1), (14315, 1), (16313, 1), (16409, 1), (16410, 1), (16411, 1), (16412, 1), (16413, 1), (16414, 1), (16415, 1), (16416, 1), (16417, 1)], [(8, 2), (19, 2), (20, 2), (24, 1), (25, 1), (31, 2), (53, 1), (58, 2), (77, 1), (90, 1), (108, 1), (117, 1), (232, 1), (441, 1), (914, 1), (922, 1), (2196, 1), (2421, 1), (4442, 1), (5788, 1), (5791, 1), (10074, 1), (13370, 1), (15484, 1), (16418, 1), (16419, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (58, 1), (284, 1), (428, 1), (757, 1), (1520, 1), (1830, 1), (6033, 1), (16420, 1), (16421, 1), (16422, 1)], [(18, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (55, 1), (90, 1), (95, 1), (247, 1), (285, 1), (342, 1), (531, 1), (743, 1), (744, 1), (894, 1), (897, 1), (904, 1), (1915, 1), (2010, 1), (2241, 1), (4044, 1), (4856, 1), (9866, 1), (10836, 1), (16423, 1), (16424, 1)], [(8, 1), (58, 1), (77, 1), (293, 1), (1742, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 1), (31, 1), (50, 1), (53, 4), (71, 1), (77, 1), (83, 1), (95, 1), (448, 1), (639, 1), (896, 1), (3237, 1), (6036, 1), (6880, 1), (16313, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 3), (25, 1), (31, 1), (50, 2), (58, 1), (85, 1), (111, 1), (117, 2), (215, 1), (232, 2), (273, 1), (373, 1), (404, 1), (459, 1), (697, 1), (744, 1), (897, 1), (1248, 1), (1347, 1), (1685, 1), (1822, 1), (2320, 1), (2958, 1), (3480, 1), (3615, 1), (4184, 1), (6880, 1), (8709, 1), (14554, 1), (15232, 1), (16425, 1), (16426, 1), (16427, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 1), (31, 2), (50, 1), (58, 1), (71, 1), (85, 1), (90, 3), (97, 1), (117, 1), (124, 1), (172, 1), (185, 1), (193, 1), (236, 1), (256, 1), (273, 1), (328, 1), (442, 1), (459, 2), (526, 1), (527, 1), (601, 1), (711, 1), (763, 1), (833, 1), (894, 1), (1122, 1), (1305, 1), (2076, 1), (2291, 1), (2320, 1), (2406, 1), (2523, 1), (3121, 1), (3504, 1), (3837, 1), (4108, 1), (4123, 1), (6103, 1), (7295, 1), (11794, 1), (12119, 1), (16313, 1)], [(22, 1), (29, 1), (31, 1), (50, 2), (53, 2), (71, 1), (77, 1), (90, 1), (185, 2), (346, 1), (407, 1), (527, 1), (743, 1), (744, 1), (894, 1), (1714, 1), (5608, 1), (11219, 1), (16313, 1), (16428, 1)], [(8, 2), (20, 2), (22, 1), (25, 1), (31, 3), (50, 2), (90, 2), (214, 1), (245, 1), (256, 1), (288, 1), (410, 1), (419, 1), (1918, 1), (2462, 1), (3024, 1), (3091, 1), (5124, 1), (10074, 1), (11029, 1), (16428, 1), (16429, 1), (16430, 1), (16431, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (58, 1), (77, 1), (80, 1), (90, 2), (96, 1), (331, 1), (410, 1), (454, 1), (1594, 1), (3091, 1), (3633, 1), (4201, 1), (4989, 1), (16432, 1)], [(8, 1), (20, 3), (31, 1), (37, 1), (50, 2), (53, 2), (65, 2), (77, 1), (82, 1), (90, 1), (487, 1), (680, 1), (1041, 1), (2666, 1), (2847, 1), (3525, 1), (6169, 1), (7420, 1), (12954, 1), (13159, 1), (14190, 1), (14812, 1), (15131, 1), (16433, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 5), (23, 1), (25, 1), (31, 1), (50, 2), (53, 4), (55, 1), (71, 1), (96, 1), (97, 1), (117, 1), (187, 1), (215, 1), (217, 1), (225, 1), (232, 1), (233, 1), (256, 1), (305, 1), (353, 1), (418, 1), (448, 1), (516, 1), (601, 1), (743, 1), (767, 1), (850, 1), (1072, 1), (1464, 1), (1471, 1), (1580, 1), (2222, 1), (2282, 1), (3294, 1), (3658, 1), (3756, 1), (4016, 1), (4627, 1), (7493, 1), (7774, 1), (10578, 1), (16064, 1), (16434, 1), (16435, 1), (16436, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (50, 1), (53, 2), (77, 1), (90, 1), (185, 1), (217, 1), (225, 1), (2096, 1), (2245, 1), (4194, 1), (5543, 1), (6516, 1), (8290, 1), (16437, 1), (16438, 1), (16439, 1), (16440, 1), (16441, 1)], [(8, 1), (19, 1), (77, 1), (301, 1), (328, 1), (387, 1), (2265, 1), (16442, 1)], [(8, 1), (37, 1), (90, 1), (187, 1), (530, 1), (846, 1), (2029, 1), (2954, 1), (4455, 1)], [(185, 1), (288, 1), (346, 1), (792, 1), (1714, 1), (16443, 1), (16444, 1), (16445, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (31, 1), (50, 1), (53, 2), (58, 1), (77, 1), (90, 1), (124, 1), (355, 1), (418, 1), (602, 1), (763, 1), (833, 1), (1035, 1), (1157, 1), (1293, 1), (2096, 1), (4347, 1), (7153, 1), (8872, 1), (16446, 1)], [(8, 1), (19, 1), (20, 6), (22, 2), (25, 4), (31, 3), (32, 1), (50, 2), (53, 6), (58, 2), (82, 2), (85, 1), (90, 1), (92, 1), (97, 1), (161, 1), (172, 1), (186, 1), (193, 1), (214, 1), (215, 1), (256, 1), (355, 1), (365, 1), (415, 1), (450, 1), (537, 1), (711, 1), (792, 1), (815, 1), (829, 1), (834, 2), (897, 1), (914, 1), (1262, 1), (1305, 1), (1471, 1), (1587, 1), (1685, 1), (2029, 1), (2501, 1), (3121, 1), (3129, 1), (3181, 1), (3416, 1), (3429, 1), (3594, 1), (3685, 1), (4699, 1), (5649, 1), (5794, 1), (6354, 1), (7143, 1), (9047, 1), (9266, 1), (9916, 1), (11439, 1), (12498, 1), (16447, 1), (16448, 1), (16449, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (24, 1), (25, 1), (31, 2), (50, 2), (51, 1), (53, 3), (65, 3), (77, 2), (90, 2), (95, 1), (108, 1), (109, 1), (206, 1), (269, 1), (281, 1), (428, 1), (531, 1), (1293, 1), (1647, 1), (1867, 1), (2258, 1), (2640, 1), (2983, 1), (3417, 1), (4328, 1), (5942, 1), (6900, 1), (8720, 1), (9234, 1), (10265, 1), (14812, 1), (15116, 1), (16450, 1), (16451, 1), (16452, 1), (16453, 1), (16454, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (23, 1), (31, 2), (45, 1), (50, 2), (53, 4), (65, 1), (71, 1), (72, 1), (77, 1), (81, 1), (90, 2), (97, 1), (111, 1), (164, 1), (185, 1), (269, 1), (305, 1), (334, 1), (414, 3), (422, 1), (441, 1), (599, 1), (608, 1), (791, 1), (830, 1), (850, 1), (1293, 1), (1441, 1), (2262, 1), (2411, 1), (2669, 1), (2744, 1), (2839, 1), (4922, 1), (4989, 1), (7780, 1), (8081, 1), (8107, 1), (9236, 1), (9621, 1), (12270, 1), (16455, 1), (16456, 1), (16457, 1), (16458, 1), (16459, 1), (16460, 1)], [(8, 1), (10, 1), (18, 1), (19, 4), (20, 3), (22, 1), (31, 1), (50, 1), (53, 2), (54, 1), (71, 1), (81, 1), (85, 1), (90, 1), (95, 1), (108, 2), (185, 1), (186, 1), (209, 1), (534, 1), (654, 1), (771, 1), (782, 1), (788, 1), (827, 1), (902, 1), (1041, 1), (1441, 1), (1587, 1), (2140, 1), (2184, 1), (2196, 1), (3333, 1), (6089, 1), (8107, 1), (8960, 1), (9047, 1), (16100, 1), (16461, 1), (16462, 1), (16463, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 2), (31, 1), (50, 1), (53, 1), (54, 1), (65, 1), (122, 1), (263, 1), (268, 1), (420, 1), (452, 1), (459, 1), (534, 1), (537, 1), (662, 1), (2258, 1), (2475, 1), (3052, 1), (3352, 1), (3902, 1), (13260, 1), (14812, 1), (15267, 1), (16464, 1), (16465, 1)], [(8, 1), (18, 2), (20, 5), (22, 2), (25, 1), (31, 3), (37, 1), (50, 2), (53, 3), (55, 2), (58, 1), (77, 3), (82, 1), (85, 1), (90, 1), (97, 1), (185, 1), (301, 1), (337, 1), (395, 1), (404, 1), (412, 1), (457, 1), (515, 1), (537, 2), (609, 1), (1159, 1), (1241, 1), (1253, 1), (1478, 1), (1488, 1), (1499, 2), (1747, 1), (1867, 1), (1929, 1), (2245, 1), (3342, 1), (3419, 1), (4840, 1), (7279, 1), (12659, 1), (13656, 1), (16466, 1), (16467, 1)], [(7, 2), (8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (24, 1), (31, 1), (50, 2), (53, 4), (71, 1), (77, 1), (90, 1), (111, 1), (187, 1), (214, 1), (215, 2), (256, 1), (268, 1), (504, 1), (581, 1), (670, 1), (672, 1), (893, 1), (1115, 1), (1311, 1), (1471, 1), (1911, 1), (2290, 1), (2916, 1), (3409, 1), (3525, 1), (3740, 1), (3826, 1), (4465, 1), (5176, 1), (7384, 1), (9025, 1), (12966, 1), (16298, 1), (16468, 1), (16469, 1)], [(8, 1), (18, 1), (20, 5), (22, 3), (31, 1), (50, 2), (53, 2), (58, 1), (71, 1), (77, 1), (85, 1), (94, 1), (95, 1), (173, 1), (215, 1), (387, 1), (420, 1), (430, 1), (581, 1), (744, 1), (826, 1), (833, 1), (908, 1), (1010, 1), (1012, 1), (1102, 1), (1733, 1), (1909, 1), (1931, 1), (2029, 1), (2065, 1), (2472, 1), (2785, 1), (3043, 1), (3255, 1), (5608, 1), (6853, 1), (16470, 1)], [(8, 1), (18, 4), (20, 2), (23, 1), (31, 1), (50, 1), (53, 1), (65, 1), (90, 1), (117, 1), (215, 1), (232, 1), (273, 1), (282, 1), (420, 1), (582, 1), (680, 1), (756, 1), (767, 1), (1159, 1), (1253, 1), (3264, 1), (3809, 1), (3969, 1), (4201, 1), (6059, 1), (16395, 1), (16471, 1), (16472, 1), (16473, 1)], [(19, 1), (20, 1), (23, 1), (45, 1), (53, 1), (108, 1), (292, 1), (596, 1), (756, 1), (876, 1), (897, 1), (1253, 1), (1714, 1), (2049, 1), (16474, 1), (16475, 1)], [(19, 3), (20, 3), (25, 1), (50, 1), (53, 1), (54, 1), (55, 2), (58, 1), (71, 1), (82, 1), (85, 1), (90, 1), (97, 1), (394, 1), (531, 1), (1685, 1), (1691, 1), (1714, 1), (1973, 1), (2240, 1), (4149, 1), (4437, 1), (7355, 1), (7356, 1), (7699, 1), (8396, 1), (16476, 1), (16477, 1), (16478, 1)], [(1544, 1), (16479, 1)], [(8, 1), (24, 1), (16480, 1)], [(8, 1), (18, 2), (20, 1), (22, 2), (25, 3), (31, 1), (40, 1), (50, 2), (53, 4), (54, 1), (55, 1), (90, 1), (97, 1), (117, 1), (122, 1), (188, 1), (229, 1), (232, 1), (256, 1), (275, 1), (337, 1), (407, 3), (412, 1), (448, 1), (531, 1), (601, 1), (672, 1), (1159, 1), (1506, 1), (1520, 1), (2239, 1), (2458, 1), (3676, 1), (4366, 1), (4388, 1), (5344, 1), (5434, 1), (6129, 1), (7070, 1), (7117, 1), (8060, 1), (8195, 1), (9546, 1), (9647, 1), (9978, 2), (10266, 1), (16064, 1), (16481, 1), (16482, 1)], [(8, 1), (20, 2), (31, 2), (53, 2), (58, 1), (77, 1), (82, 1), (90, 1), (95, 1), (197, 1), (269, 1), (346, 1), (378, 1), (709, 1), (913, 1)], [(8, 1), (19, 1), (20, 1), (53, 3), (58, 1), (65, 1), (72, 1), (77, 1), (95, 1), (214, 2), (246, 1), (488, 1), (608, 1), (709, 1), (757, 1), (913, 1), (1354, 1), (1520, 1), (1529, 1), (3933, 1), (9354, 1), (10618, 1), (12807, 1)], [(8, 1), (18, 1), (20, 1), (53, 2), (65, 1), (117, 1), (206, 1), (209, 1), (214, 1), (215, 2), (387, 1), (600, 1), (709, 1), (913, 1), (982, 1), (1909, 1), (3933, 1), (4078, 1), (4428, 1), (7154, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (31, 1), (53, 1), (65, 1), (71, 2), (77, 1), (90, 1), (111, 1), (301, 1), (328, 1), (353, 1), (504, 1), (526, 1), (531, 1), (709, 2), (1774, 1), (2491, 2), (5423, 1), (8273, 1), (9059, 1), (16483, 1), (16484, 1)], [(7, 2), (8, 1), (20, 1), (31, 1), (53, 2), (54, 1), (55, 1), (65, 1), (81, 1), (122, 1), (293, 1), (884, 1), (2409, 1), (6129, 1), (8198, 1), (16485, 1), (16486, 1), (16487, 1)], [(247, 1), (2509, 1), (8198, 1)], [(8, 1), (20, 1), (22, 1), (30, 1), (45, 1), (50, 1), (65, 1), (90, 1), (172, 1), (203, 1), (293, 1), (295, 2), (307, 1), (414, 1), (2030, 1), (2132, 1), (2646, 1), (3681, 1), (6398, 1), (8204, 1), (8249, 1)], [(8, 1), (18, 3), (20, 5), (25, 2), (31, 1), (50, 2), (65, 1), (269, 2), (353, 1), (359, 1), (516, 1), (778, 1), (947, 1), (998, 1), (1074, 1), (1102, 1), (2401, 1), (3731, 1), (4200, 1), (5065, 1), (8198, 1), (8488, 1), (8489, 1), (14697, 1), (16488, 1), (16489, 1), (16490, 1), (16491, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 2), (31, 1), (37, 1), (40, 1), (45, 2), (54, 2), (55, 2), (65, 2), (90, 1), (97, 1), (161, 1), (193, 1), (279, 2), (301, 1), (415, 1), (452, 1), (723, 1), (777, 1), (833, 1), (1102, 1), (1219, 1), (1393, 1), (1529, 1), (1908, 1), (2132, 1), (2475, 1), (2795, 1), (4903, 1), (5213, 1), (5304, 1), (5970, 1), (6489, 1), (8198, 1), (8488, 1), (8489, 1), (9493, 1), (13274, 1), (13607, 1), (16492, 1), (16493, 1), (16494, 1), (16495, 1), (16496, 1), (16497, 1)], [(8, 1), (20, 1), (25, 2), (50, 1), (53, 1), (65, 1), (117, 2), (232, 2), (256, 1), (286, 1), (463, 1), (743, 1), (828, 1), (1140, 1), (1248, 1), (1999, 1), (2872, 1), (3771, 1), (3852, 1), (9145, 1), (12352, 1), (13967, 1), (16498, 1), (16499, 1), (16500, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (31, 1), (54, 1), (90, 1), (108, 1), (117, 1), (185, 1), (225, 1), (232, 1), (260, 1), (293, 1), (447, 1), (884, 1), (888, 1), (1041, 1), (1529, 1), (2355, 1), (2401, 1), (2745, 1), (3043, 1), (3507, 1), (3883, 1), (4158, 1), (4543, 1), (4742, 1), (16501, 1), (16502, 1), (16503, 1)], [(7, 1), (18, 1), (19, 2), (20, 8), (22, 3), (25, 2), (30, 2), (31, 5), (37, 1), (42, 1), (45, 3), (53, 4), (54, 2), (55, 2), (59, 1), (63, 1), (65, 3), (71, 2), (90, 2), (96, 1), (97, 2), (117, 2), (173, 2), (174, 1), (182, 1), (190, 1), (193, 1), (215, 1), (228, 1), (232, 2), (247, 1), (260, 1), (293, 1), (301, 1), (347, 3), (407, 1), (414, 1), (505, 2), (708, 1), (776, 1), (1102, 1), (1131, 1), (1395, 1), (1760, 1), (1820, 1), (1854, 1), (2168, 1), (2245, 1), (2268, 1), (2270, 1), (2384, 2), (2744, 1), (2847, 1), (2862, 1), (2986, 1), (3256, 1), (4796, 1), (5429, 1), (5651, 1), (5735, 1), (5949, 1), (6416, 1), (6625, 1), (8198, 1), (9678, 1), (9908, 1), (11902, 1), (12522, 1), (16315, 1), (16492, 1), (16504, 1), (16505, 1), (16506, 1), (16507, 1), (16508, 1), (16509, 1), (16510, 1), (16511, 1), (16512, 1), (16513, 1), (16514, 1)], [(8, 1), (53, 1), (65, 1), (269, 1), (347, 1), (428, 1), (1122, 1), (2406, 1), (6358, 1), (8204, 1), (11079, 1), (16515, 1)], [(7, 2), (8, 1), (18, 2), (20, 8), (22, 1), (25, 1), (31, 2), (50, 1), (53, 5), (58, 2), (65, 2), (82, 1), (99, 1), (173, 1), (186, 1), (190, 1), (241, 1), (256, 1), (285, 1), (300, 1), (305, 2), (361, 1), (407, 1), (420, 1), (448, 1), (897, 1), (1010, 1), (1041, 1), (1102, 1), (1806, 1), (1824, 1), (1830, 1), (2067, 1), (2531, 1), (2649, 1), (3355, 1), (3426, 1), (3852, 1), (5054, 1), (5496, 1), (5919, 1), (8249, 1), (9908, 1), (10001, 1), (10583, 1), (12372, 1), (16516, 2), (16517, 1), (16518, 1), (16519, 1), (16520, 1), (16521, 1)], [(8, 1), (20, 3), (22, 1), (50, 2), (53, 4), (65, 2), (85, 1), (109, 1), (448, 1), (516, 1), (702, 1), (776, 1), (834, 1), (897, 1), (1582, 1), (2157, 1), (2548, 1), (3942, 1), (4733, 1), (5391, 1), (5400, 1), (5877, 1), (9342, 1), (9536, 1), (10984, 1), (13951, 1), (15720, 1), (15831, 1), (16516, 1), (16522, 1), (16523, 1), (16524, 1)], [(8, 1), (19, 1), (53, 1), (301, 1), (434, 1), (498, 1), (1884, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (22, 1), (25, 1), (31, 1), (45, 2), (53, 1), (54, 1), (65, 1), (75, 1), (90, 1), (108, 1), (117, 1), (122, 1), (215, 1), (232, 1), (293, 1), (337, 1), (426, 1), (428, 1), (1342, 1), (1929, 1), (2140, 1), (2184, 1), (2986, 1), (3403, 1), (4778, 1), (6112, 1), (6625, 1), (7295, 1), (8198, 1), (12017, 1), (12299, 1), (16313, 1), (16525, 1)], [(8, 1), (19, 3), (20, 7), (22, 3), (24, 1), (25, 1), (30, 3), (45, 1), (53, 2), (55, 2), (58, 1), (82, 1), (90, 1), (95, 1), (108, 2), (169, 1), (173, 1), (253, 1), (256, 1), (289, 1), (426, 1), (601, 1), (688, 1), (708, 1), (763, 1), (1102, 1), (1134, 1), (1342, 2), (1641, 1), (1928, 1), (2354, 1), (2523, 1), (3475, 1), (3756, 1), (4299, 1), (4439, 1), (5509, 1), (7295, 2), (7874, 1), (8198, 1), (9172, 1), (10614, 1), (16526, 1), (16527, 1), (16528, 1), (16529, 1), (16530, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (25, 1), (31, 1), (53, 5), (58, 1), (71, 1), (74, 1), (95, 1), (97, 1), (117, 1), (178, 1), (185, 1), (215, 1), (232, 1), (281, 2), (346, 1), (373, 1), (529, 1), (970, 1), (1041, 1), (1487, 1), (2007, 1), (2077, 1), (2734, 1), (2850, 1), (3025, 1), (3352, 1), (5474, 1), (5729, 1), (7892, 1), (8198, 1), (9387, 1), (16531, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (24, 1), (25, 1), (30, 2), (31, 3), (45, 1), (50, 3), (53, 4), (55, 1), (58, 2), (75, 1), (85, 1), (90, 1), (95, 1), (173, 1), (193, 1), (215, 1), (293, 1), (305, 1), (309, 1), (373, 1), (420, 1), (428, 1), (680, 1), (697, 1), (744, 1), (1239, 1), (1416, 1), (1596, 1), (2344, 1), (2986, 1), (2995, 1), (4251, 1), (4304, 1), (5490, 1), (5744, 1), (5753, 1), (14714, 1), (15931, 1), (16532, 1), (16533, 1), (16534, 1)], [(18, 1), (20, 1), (22, 1), (25, 1), (53, 2), (95, 1), (247, 1), (414, 1), (658, 1), (742, 1), (939, 1), (1239, 1), (1570, 1), (2211, 1), (2456, 1), (4801, 1), (8550, 1), (12320, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (25, 1), (37, 1), (45, 1), (50, 1), (53, 3), (97, 1), (178, 1), (186, 1), (328, 1), (347, 1), (373, 1), (426, 1), (771, 1), (1239, 1), (1255, 1), (2995, 1), (3355, 1), (3686, 1), (3726, 1), (4787, 1), (8198, 1), (13674, 1), (15244, 1), (15778, 1)], [(8, 1), (31, 1), (53, 1), (2296, 1), (4282, 1), (8103, 1)], [(8, 1), (36, 1), (50, 2), (53, 2), (54, 1), (263, 1), (999, 1), (7415, 1)], [(8, 1), (18, 1), (36, 1), (108, 1), (8198, 1), (10233, 1), (16535, 1)], [(20, 4), (25, 1), (53, 2), (64, 1), (65, 1), (109, 1), (173, 1), (373, 1), (433, 1), (777, 1), (946, 1), (1041, 2), (1239, 1), (1569, 1), (1574, 1), (2467, 1), (2864, 1), (4090, 1), (5496, 1), (7295, 1), (10101, 1), (10159, 1), (16536, 1), (16537, 1)], [(20, 3), (108, 1), (117, 2), (232, 2), (247, 1), (332, 1), (602, 1), (1336, 1), (1806, 1), (2304, 1), (2382, 1), (2977, 1), (3102, 1), (7332, 1), (8198, 1)], [(8, 1), (18, 1), (31, 1), (2019, 1), (2849, 1), (5485, 1)], [(8, 1), (18, 1), (20, 1), (185, 1), (359, 1), (387, 1), (833, 1), (1160, 1), (1350, 1), (3700, 1), (5729, 1), (8245, 1)], [(20, 1), (30, 1), (64, 1), (703, 1), (1178, 1), (8500, 1)], [(8, 1), (22, 1), (25, 2), (53, 1), (54, 2), (95, 1), (293, 1), (482, 1), (5728, 1), (5758, 1), (7295, 1), (8198, 1)], [(7, 1), (8, 1), (20, 1), (25, 1), (53, 2), (54, 1), (109, 1), (173, 1), (178, 1), (215, 1), (241, 1), (884, 1), (1377, 1), (1506, 1), (1627, 1), (2409, 1), (7307, 1), (13785, 1), (16538, 1), (16539, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 1), (30, 1), (31, 1), (65, 1), (90, 1), (206, 1), (256, 1), (289, 1), (516, 1), (897, 1), (1305, 1), (1350, 1), (1702, 1), (2068, 1), (2245, 1), (2655, 1), (2780, 1), (3181, 1), (3352, 1), (6310, 1), (6595, 1), (7295, 1), (7941, 1), (8198, 1), (8973, 1), (16540, 1), (16541, 1), (16542, 1), (16543, 1), (16544, 1)], [(8, 1), (18, 1), (20, 4), (21, 1), (24, 1), (37, 1), (40, 1), (53, 2), (54, 2), (77, 1), (109, 1), (215, 1), (256, 1), (373, 1), (1963, 1), (2629, 1), (2656, 1), (4402, 1), (5409, 1), (6595, 1), (6669, 1), (8198, 1), (16272, 1)], [(8, 1), (20, 4), (22, 1), (31, 2), (77, 2), (94, 1), (190, 1), (256, 1), (275, 1), (324, 1), (346, 1), (420, 1), (439, 2), (469, 1), (593, 1), (1296, 1), (1523, 2), (1702, 1), (1774, 1), (1909, 1), (2096, 1), (2757, 1), (16545, 1), (16546, 1), (16547, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 7), (22, 2), (23, 1), (25, 1), (30, 1), (31, 1), (37, 1), (53, 3), (55, 1), (64, 1), (71, 1), (78, 1), (90, 2), (99, 2), (108, 1), (111, 1), (117, 1), (173, 2), (186, 1), (193, 1), (215, 1), (278, 1), (285, 1), (345, 1), (373, 1), (504, 3), (691, 1), (743, 1), (759, 1), (1270, 1), (1594, 1), (1856, 1), (1963, 2), (2344, 1), (3291, 1), (3415, 1), (3721, 1), (4666, 1), (5011, 1), (5367, 1), (6595, 2), (7022, 1), (7295, 1), (7669, 1), (8198, 2), (8206, 1), (13102, 1), (14502, 1), (16548, 1), (16549, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 1), (95, 1), (96, 1), (99, 2), (108, 1), (117, 1), (187, 1), (285, 2), (581, 1), (607, 1), (751, 1), (759, 1), (788, 1), (2744, 1), (2907, 1), (3166, 1), (8198, 1), (8199, 1), (9575, 1)], [(20, 1), (25, 1), (31, 1), (66, 1), (90, 1), (117, 1), (124, 1), (161, 1), (759, 1), (1594, 1), (1907, 1), (1963, 1), (7486, 1)], [(8, 1), (18, 1), (20, 3), (45, 2), (55, 1), (59, 1), (65, 1), (77, 1), (90, 1), (97, 1), (107, 1), (278, 1), (316, 1), (645, 2), (1102, 1), (1180, 1), (1464, 1), (1499, 1), (1595, 1), (1824, 1), (3756, 1), (5458, 1), (5583, 1), (7295, 1), (16550, 1), (16551, 1), (16552, 1)], [(8, 1), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 2), (214, 1), (301, 1), (419, 1), (1354, 1), (1458, 1), (3366, 1), (8198, 1), (10521, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 2), (25, 1), (53, 4), (54, 2), (82, 1), (85, 1), (95, 1), (117, 1), (122, 1), (173, 1), (185, 1), (232, 1), (256, 1), (365, 1), (414, 1), (420, 1), (452, 1), (516, 1), (558, 1), (686, 1), (742, 1), (763, 1), (792, 1), (1239, 1), (1342, 1), (1487, 1), (1656, 1), (1803, 1), (2120, 1), (2211, 1), (3417, 1), (3970, 1), (4674, 1), (5994, 1), (8198, 1), (16553, 1)], [(247, 1), (9555, 1)], [(8, 1), (19, 1), (45, 1), (54, 1), (94, 1), (98, 1), (256, 1), (278, 1), (7295, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 1), (25, 2), (37, 1), (53, 3), (54, 1), (65, 1), (85, 1), (117, 1), (122, 1), (232, 1), (361, 1), (365, 1), (516, 1), (580, 1), (1122, 1), (1324, 1), (1724, 1), (1806, 1), (3049, 1), (3197, 1), (4165, 1), (4169, 1), (6358, 1), (7985, 1), (10727, 1), (12217, 1), (16554, 1), (16555, 1), (16556, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (31, 1), (50, 1), (90, 1), (117, 1), (186, 1), (232, 1), (310, 1), (365, 1), (516, 1), (706, 2), (3256, 1), (8198, 1), (16557, 1), (16558, 1), (16559, 1)], [(8, 1), (54, 1), (65, 1), (173, 1), (293, 1), (373, 1), (420, 1), (1165, 1), (1415, 1), (2070, 1), (2864, 1), (7043, 1), (8580, 1)], [(8, 1), (22, 1), (25, 1), (30, 1), (53, 1), (54, 2), (95, 1), (117, 1), (232, 1), (281, 1), (626, 1), (2406, 1), (5140, 1), (7295, 1), (12368, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (50, 1), (54, 1), (359, 1), (583, 1), (1248, 1), (2036, 1), (2985, 1), (3022, 1), (6791, 1), (7295, 1), (7483, 1), (8198, 1)], [(8, 1), (19, 1), (20, 5), (25, 1), (45, 1), (50, 1), (53, 5), (109, 1), (178, 1), (365, 1), (706, 1), (1102, 1), (2265, 1), (2401, 1), (2406, 1), (2611, 1), (3426, 1), (5128, 1), (5270, 1), (6610, 1), (8198, 1), (8346, 1), (12123, 1), (14121, 1), (16560, 1)], [(8, 1), (18, 1), (19, 3), (20, 2), (31, 3), (53, 2), (65, 1), (77, 1), (215, 2), (346, 1), (430, 1), (580, 1), (583, 1), (661, 1), (892, 1), (2126, 1), (2680, 1), (2967, 1), (4441, 1), (7617, 1), (10666, 1), (13125, 1)], [(8, 1), (53, 1), (77, 1), (301, 1), (3741, 1), (6805, 1), (16561, 1)], [(18, 1), (20, 1), (24, 1), (31, 1), (50, 2), (53, 1), (247, 1), (332, 1), (744, 1), (1005, 1), (1580, 1), (2290, 1), (5704, 1), (11303, 1), (16562, 1), (16563, 1)], [(58, 1), (323, 1), (581, 1), (1714, 1), (2145, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (25, 1), (31, 2), (53, 1), (288, 2), (365, 1), (420, 1), (430, 1), (432, 1), (450, 1), (580, 1), (709, 1), (711, 1), (791, 1), (893, 1), (1159, 1), (1308, 1), (2076, 1), (2543, 1), (2812, 1), (3739, 1), (6656, 1), (15954, 1), (16564, 1)], [(19, 1), (45, 1), (53, 1), (178, 1), (301, 1), (347, 1), (884, 1), (1714, 1), (2055, 1), (2409, 1), (4383, 1), (7295, 1), (12229, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (82, 1), (173, 1), (193, 1), (202, 1), (792, 1), (1165, 1), (1898, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 10), (22, 3), (25, 4), (30, 1), (31, 3), (37, 1), (45, 1), (50, 1), (53, 3), (55, 1), (69, 1), (72, 1), (77, 2), (82, 2), (90, 1), (92, 1), (173, 1), (186, 2), (229, 1), (268, 1), (285, 1), (293, 1), (328, 1), (418, 1), (433, 1), (450, 1), (452, 1), (459, 1), (597, 1), (702, 1), (711, 1), (744, 2), (896, 1), (913, 1), (922, 1), (1102, 1), (1229, 1), (1393, 1), (2029, 1), (2785, 1), (3416, 1), (3417, 1), (3459, 1), (3478, 1), (3914, 1), (4073, 1), (4699, 1), (5910, 1), (6402, 2), (7022, 1), (7533, 1), (8172, 1), (8173, 1), (8198, 1), (9821, 1), (10639, 1), (10922, 1), (11828, 1), (12159, 1), (12535, 1), (13504, 1), (16359, 1), (16565, 1), (16566, 1)], [(8, 1), (19, 2), (20, 7), (22, 1), (25, 4), (30, 1), (32, 1), (37, 1), (45, 2), (54, 1), (58, 1), (74, 1), (90, 2), (91, 1), (117, 2), (173, 1), (187, 1), (232, 2), (269, 1), (281, 1), (293, 3), (301, 1), (373, 1), (414, 1), (632, 1), (654, 1), (688, 1), (834, 1), (913, 1), (1255, 1), (1324, 1), (1348, 1), (1506, 1), (1856, 1), (2253, 1), (2406, 1), (2911, 1), (3140, 1), (3352, 1), (5729, 1), (6358, 1), (7097, 1), (7295, 1), (7455, 1), (8198, 2), (9329, 1), (11424, 1), (16567, 1)], [(8, 1), (20, 2), (22, 2), (30, 1), (53, 4), (54, 1), (90, 1), (109, 1), (173, 1), (193, 2), (202, 1), (233, 1), (256, 1), (410, 1), (531, 1), (639, 1), (687, 1), (709, 1), (711, 1), (744, 1), (884, 1), (1392, 1), (2064, 1), (2344, 1), (2348, 1), (2361, 1), (2409, 1), (9318, 1), (15436, 1), (16568, 1)], [(8, 1), (20, 1), (24, 1), (26, 1), (45, 2), (50, 1), (53, 1), (186, 1), (256, 1), (347, 1), (365, 1), (1628, 1), (1879, 1), (2466, 1), (7480, 1), (16569, 1), (16570, 1)], [(8, 1), (20, 1), (1102, 1), (1118, 1), (1277, 1), (1879, 1)], [(8, 1), (19, 2), (20, 9), (22, 2), (25, 3), (40, 1), (45, 2), (50, 3), (53, 6), (56, 1), (65, 3), (85, 1), (90, 1), (261, 1), (307, 1), (310, 1), (332, 1), (399, 1), (726, 1), (1139, 1), (1649, 1), (2437, 1), (2647, 1), (2847, 1), (3751, 1), (3760, 1), (4442, 1), (4641, 1), (4652, 1), (5056, 1), (5816, 1), (5896, 1), (6695, 1), (8198, 1), (8565, 1), (9524, 1), (9984, 1), (11303, 1), (11926, 1), (14334, 1), (14556, 1), (15072, 1), (16571, 1), (16572, 1), (16573, 1), (16574, 1), (16575, 1), (16576, 1), (16577, 1), (16578, 1), (16579, 1), (16580, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (30, 1), (36, 1), (45, 1), (50, 1), (53, 2), (58, 1), (72, 1), (117, 1), (232, 1), (281, 1), (332, 1), (726, 1), (2318, 1), (2981, 1), (3221, 1), (3389, 1), (4299, 1), (13677, 1), (16581, 1)], [(8, 1), (19, 2), (20, 6), (22, 2), (25, 3), (37, 1), (45, 1), (77, 2), (90, 1), (97, 1), (109, 1), (111, 1), (117, 2), (193, 1), (215, 1), (232, 2), (236, 1), (241, 1), (332, 1), (645, 2), (897, 1), (1001, 1), (1686, 1), (1975, 1), (2197, 2), (2344, 1), (3036, 1), (4858, 1), (4910, 1), (5658, 1), (6727, 1), (6845, 1), (8004, 1), (9474, 1), (11010, 1), (16582, 1), (16583, 1)], [(8, 1), (20, 1), (53, 1), (82, 1), (278, 1), (286, 1), (2656, 1), (3670, 1), (7295, 1), (14009, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (31, 2), (50, 1), (53, 2), (58, 1), (71, 1), (77, 1), (90, 1), (96, 1), (182, 1), (190, 1), (387, 1), (516, 1), (897, 1), (1149, 1), (2440, 1), (2990, 1), (3676, 1), (4073, 1), (10915, 1), (16482, 1)], [(1544, 1), (16584, 1)], [(8, 1), (50, 1), (53, 1), (126, 1), (10064, 1), (16585, 1)], [(8, 1), (19, 2), (20, 6), (25, 1), (37, 1), (50, 2), (53, 3), (54, 1), (92, 1), (95, 1), (111, 1), (117, 2), (170, 1), (232, 2), (260, 1), (293, 1), (443, 1), (459, 1), (632, 1), (658, 1), (834, 1), (1139, 1), (2217, 1), (2781, 1), (3501, 1), (3576, 1), (3685, 1), (4736, 1), (5224, 1), (6129, 1), (7295, 1), (9285, 1), (11726, 1), (14899, 1), (14900, 1), (14902, 1), (14964, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 1), (31, 1), (50, 1), (53, 4), (54, 1), (55, 2), (65, 1), (68, 1), (83, 1), (97, 1), (185, 2), (215, 1), (293, 1), (420, 1), (448, 1), (459, 2), (662, 1), (815, 1), (907, 1), (922, 1), (1324, 1), (1342, 1), (1627, 1), (1764, 1), (2216, 1), (2270, 1), (2638, 1), (2760, 1), (3301, 1), (3392, 1), (3532, 1), (3923, 1), (5233, 1), (5761, 1), (6213, 2), (9621, 1), (10315, 1), (15028, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (23, 2), (25, 2), (31, 1), (50, 1), (53, 1), (55, 1), (58, 2), (83, 1), (90, 1), (112, 1), (117, 1), (122, 1), (226, 1), (232, 1), (307, 1), (310, 1), (328, 1), (347, 1), (410, 1), (420, 1), (428, 1), (744, 1), (829, 1), (894, 1), (1227, 1), (1596, 1), (1642, 1), (1662, 1), (3726, 1), (5913, 1), (14278, 1), (16586, 1), (16587, 1), (16588, 1), (16589, 1), (16590, 1)], [(8, 1), (19, 1), (54, 1), (84, 1), (122, 1), (206, 1), (428, 1), (626, 1), (2245, 1), (9162, 1), (16590, 1), (16591, 1)], [(25, 1), (126, 1), (247, 1), (3301, 1), (4167, 1), (14151, 1)], [(8, 1), (18, 1), (31, 1), (51, 1), (54, 1), (90, 1), (185, 1), (744, 1), (1165, 1), (2202, 1), (2744, 1), (3021, 1), (6213, 1), (11318, 1)], [(18, 1), (247, 1), (2153, 1), (16592, 1)], [(18, 1), (247, 1), (744, 1), (16593, 1)], [(18, 1), (247, 1), (744, 1), (16594, 1)], [(18, 1), (247, 1), (744, 1), (15012, 1), (16595, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 2), (31, 1), (58, 2), (108, 1), (215, 1), (459, 1), (516, 1), (1308, 1), (1354, 1), (1498, 1), (1520, 1), (1580, 2), (2884, 1), (2911, 1), (3022, 1), (3331, 1), (3359, 1), (16596, 1), (16597, 1), (16598, 1)], [(8, 1), (18, 2), (19, 3), (20, 13), (22, 11), (23, 9), (25, 4), (29, 1), (31, 4), (37, 3), (50, 6), (51, 1), (53, 9), (58, 1), (65, 2), (69, 2), (77, 1), (84, 1), (90, 5), (99, 1), (108, 1), (109, 1), (111, 2), (161, 1), (186, 1), (189, 1), (190, 1), (193, 2), (209, 1), (215, 4), (284, 1), (293, 1), (328, 1), (337, 1), (388, 1), (399, 1), (410, 1), (414, 1), (450, 2), (516, 2), (709, 1), (711, 1), (752, 1), (813, 1), (834, 1), (846, 1), (1081, 1), (1227, 1), (1342, 1), (1354, 2), (1487, 2), (1529, 1), (1580, 5), (1589, 1), (1669, 1), (1751, 1), (1798, 1), (1805, 1), (1806, 1), (1932, 1), (2064, 1), (2361, 1), (2543, 1), (2625, 1), (2630, 1), (2680, 1), (2841, 1), (2884, 1), (2911, 1), (3103, 1), (3192, 1), (3331, 1), (3522, 1), (3525, 1), (3545, 1), (3916, 1), (3938, 1), (4214, 1), (4491, 1), (4709, 1), (5487, 1), (5524, 1), (5677, 1), (6213, 2), (7329, 1), (7679, 1), (7685, 1), (7870, 1), (8463, 1), (8860, 1), (10000, 1), (10446, 1), (10447, 1), (10464, 1), (10805, 1), (11040, 1), (11241, 1), (12021, 1), (13573, 1), (13971, 1), (14913, 1), (15495, 1), (15585, 1), (15595, 1), (15953, 1), (16587, 1), (16599, 1), (16600, 1), (16601, 1), (16602, 1), (16603, 1), (16604, 1), (16605, 1), (16606, 1), (16607, 1), (16608, 1), (16609, 1)], [(247, 1), (16585, 1)], [(247, 1), (16591, 1)], [(247, 1), (16591, 1)], [(8, 1), (18, 1), (20, 1), (22, 3), (23, 4), (25, 1), (31, 1), (37, 1), (50, 1), (53, 2), (58, 2), (65, 1), (69, 1), (90, 2), (108, 1), (117, 1), (174, 1), (426, 1), (428, 1), (450, 1), (506, 1), (777, 1), (813, 1), (894, 1), (1057, 2), (1149, 2), (1354, 2), (1580, 1), (2325, 1), (2847, 1), (2926, 1), (5948, 1), (6213, 2), (7561, 1), (8709, 1), (9474, 1), (13573, 1), (16604, 1), (16610, 1), (16611, 2), (16612, 1)], [(19, 1), (20, 4), (22, 2), (23, 1), (25, 1), (54, 1), (90, 1), (185, 1), (186, 1), (193, 1), (215, 2), (247, 1), (261, 1), (273, 1), (289, 1), (428, 1), (450, 2), (531, 1), (792, 1), (1354, 1), (1583, 1), (1695, 1), (1932, 1), (2153, 1), (2177, 1), (2344, 1), (3072, 1), (3203, 1), (3645, 1), (3647, 1), (7558, 1), (8341, 1), (13202, 1), (16612, 1), (16613, 1)], [(20, 2), (53, 1), (65, 1), (111, 2), (161, 1), (247, 1), (419, 1), (743, 1), (1180, 1), (1580, 1), (1641, 1), (2149, 1), (2186, 1), (2284, 1), (3034, 1), (3525, 1), (3999, 1), (4325, 1), (7184, 1), (8024, 1), (16614, 1), (16615, 1)], [(8, 1), (20, 1), (22, 3), (25, 1), (37, 2), (50, 1), (53, 1), (415, 1), (428, 2), (434, 3), (452, 1), (498, 3), (1122, 1), (1129, 1), (1354, 1), (1887, 2), (2279, 1), (3280, 1), (4128, 1), (5289, 1), (6213, 1), (13240, 1), (16591, 3)], [(23, 1), (40, 1), (90, 2), (108, 1), (166, 1), (247, 1), (299, 1), (2515, 1), (6213, 1), (16612, 1)], [(7, 1), (8, 1), (19, 1), (20, 12), (22, 3), (23, 3), (29, 1), (31, 3), (32, 2), (37, 2), (45, 1), (50, 1), (53, 9), (58, 1), (82, 1), (90, 2), (111, 2), (172, 2), (185, 1), (193, 1), (195, 1), (202, 1), (203, 1), (228, 1), (242, 1), (256, 1), (286, 1), (445, 1), (605, 1), (645, 1), (2471, 1), (2608, 1), (2751, 1), (2757, 1), (2766, 1), (2855, 1), (3302, 1), (3649, 1), (3982, 1), (4591, 1), (5743, 1), (6353, 2), (6543, 1), (6562, 1), (7371, 1), (7547, 1), (7903, 1), (10821, 1), (16591, 1), (16616, 1), (16617, 1), (16618, 1), (16619, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (31, 2), (45, 1), (50, 4), (53, 2), (55, 1), (174, 1), (359, 1), (726, 1), (1129, 1), (1224, 1), (1354, 1), (2405, 1), (3132, 1), (4163, 1), (7166, 1), (8200, 1), (16620, 1), (16621, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (50, 3), (53, 3), (58, 2), (65, 1), (95, 1), (108, 1), (346, 1), (415, 1), (487, 1), (662, 1), (815, 1), (886, 1), (1529, 1), (2245, 1), (3985, 1), (6213, 2), (15737, 1), (16622, 1), (16623, 1)], [(8, 1), (20, 3), (25, 1), (45, 1), (50, 2), (53, 3), (65, 1), (72, 1), (74, 1), (77, 1), (97, 1), (109, 2), (293, 1), (441, 1), (446, 1), (778, 1), (1596, 1), (3036, 1), (3264, 1), (3528, 1), (4178, 1), (5326, 1), (8853, 1), (16624, 1)], [(8, 1), (18, 1), (21, 2), (50, 1), (55, 1), (77, 1), (122, 1), (256, 1), (448, 1), (537, 1), (1702, 1), (2314, 1), (4842, 1), (6214, 1), (8461, 1), (13976, 1), (16625, 1)], [(8, 1), (19, 1), (20, 1), (53, 3), (65, 1), (77, 1), (95, 1), (109, 1), (428, 1), (446, 1), (703, 1), (763, 1), (778, 1), (827, 1), (1764, 1), (2270, 1), (3359, 1), (14381, 1), (16626, 1), (16627, 1), (16628, 1)], [(8, 1), (50, 1), (289, 1), (516, 1), (530, 1), (1170, 1), (2356, 1), (4235, 1), (16629, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 2), (31, 1), (50, 2), (53, 3), (65, 1), (77, 1), (95, 1), (117, 1), (226, 1), (232, 1), (281, 1), (328, 1), (526, 1), (1041, 1), (1642, 1), (1937, 1), (2137, 1), (2830, 1), (3756, 1), (4058, 1), (5792, 1), (6197, 1), (6824, 1), (8875, 1), (9047, 1), (15492, 1), (16630, 1), (16631, 1), (16632, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (77, 1), (122, 1), (257, 1), (407, 1), (1449, 1), (3883, 1), (4169, 1), (16633, 1)], [(8, 1), (18, 1), (20, 4), (25, 2), (50, 2), (53, 1), (55, 2), (58, 1), (77, 1), (81, 1), (209, 1), (531, 1), (1041, 1), (1763, 1), (3460, 1), (3901, 1), (4520, 1), (5054, 1), (5397, 1), (8146, 1), (9104, 1), (9108, 1), (13816, 1), (16396, 1), (16462, 1), (16634, 1), (16635, 1)], [(8, 1), (20, 1), (31, 1), (50, 2), (77, 1), (122, 1), (5294, 1), (16636, 1), (16637, 1), (16638, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (58, 2), (77, 1), (109, 1), (1865, 1), (2197, 1), (2320, 1), (2515, 1), (7370, 1), (8576, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (53, 1), (58, 1), (90, 1), (686, 1), (776, 1), (815, 1), (1936, 1), (7227, 1), (10017, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (23, 1), (25, 1), (30, 1), (50, 3), (53, 4), (55, 1), (90, 1), (109, 1), (122, 1), (172, 2), (215, 1), (217, 1), (320, 1), (337, 1), (361, 1), (461, 1), (531, 1), (601, 1), (743, 1), (763, 1), (1597, 1), (1901, 1), (2241, 1), (7569, 1), (9408, 2), (11439, 2), (12321, 1), (13882, 1), (14540, 1), (14716, 1), (16038, 1), (16639, 1), (16640, 1), (16641, 1), (16642, 1), (16643, 2), (16644, 1), (16645, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (23, 1), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (71, 1), (77, 1), (97, 2), (185, 1), (186, 1), (256, 1), (262, 1), (269, 1), (351, 1), (452, 2), (2245, 1), (2265, 1), (3416, 1), (4402, 1), (4787, 1), (5250, 1), (6702, 1), (11551, 1), (14713, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (50, 1), (53, 3), (55, 1), (72, 1), (77, 2), (122, 1), (260, 1), (293, 1), (531, 1), (723, 1), (1471, 1), (2248, 1), (4402, 1), (8874, 1), (16646, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 1), (53, 1), (77, 1), (122, 1), (337, 1), (407, 1), (531, 1), (764, 1), (894, 1), (3727, 1), (4591, 1), (6112, 1), (6213, 1), (10315, 1), (14969, 1), (16612, 1), (16647, 1), (16648, 1), (16649, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (50, 1), (53, 2), (58, 1), (71, 1), (195, 1), (1867, 1), (9048, 1), (14731, 1), (16650, 1), (16651, 1), (16652, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (53, 1), (72, 1), (77, 1), (256, 1), (275, 1), (293, 1), (940, 1), (970, 1), (1471, 1), (2839, 1), (3313, 1), (3323, 1), (6197, 1), (6213, 1), (6693, 1), (16653, 1)], [(8, 1), (20, 2), (25, 1), (50, 3), (53, 4), (77, 1), (90, 1), (95, 1), (97, 2), (111, 1), (122, 1), (210, 1), (289, 1), (323, 1), (626, 1), (708, 1), (834, 1), (970, 1), (1040, 1), (1293, 1), (1995, 1), (2276, 1), (4402, 1), (5360, 1), (7415, 1), (10635, 1), (13553, 1), (16654, 1), (16655, 1), (16656, 1)], [(8, 1), (16657, 1)], [(8, 1), (19, 1), (53, 1), (77, 1), (82, 1), (95, 1), (98, 1), (117, 1), (185, 1), (232, 1), (9054, 1), (16658, 1), (16659, 1)], [(7, 1), (8, 1), (20, 1), (58, 1), (215, 1), (293, 1), (301, 1), (1471, 1), (4018, 1), (6844, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 1), (50, 4), (53, 4), (58, 1), (77, 2), (108, 1), (109, 1), (117, 2), (126, 1), (210, 1), (232, 2), (392, 1), (410, 1), (424, 1), (531, 1), (623, 1), (703, 1), (1485, 1), (1596, 2), (2656, 1), (2734, 1), (3413, 1), (3664, 1), (3745, 1), (3924, 1), (4178, 1), (7913, 1), (9038, 1), (13645, 1), (14908, 1), (16660, 1), (16661, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (37, 1), (50, 1), (53, 1), (55, 1), (58, 2), (215, 1), (516, 1), (1761, 1), (2064, 1), (2161, 1), (2543, 2), (3553, 1), (5014, 1), (6813, 1), (11055, 1), (16662, 1), (16663, 1), (16664, 1), (16665, 1), (16666, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (37, 1), (53, 1), (55, 1), (65, 1), (77, 1), (172, 1), (174, 1), (193, 1), (206, 1), (301, 1), (324, 1), (410, 1), (428, 1), (454, 1), (697, 1), (776, 1), (1041, 1), (2181, 1), (2539, 1), (2743, 1), (5028, 1), (5760, 1), (8084, 1), (9047, 1), (16667, 1)], [(8, 1), (20, 1), (25, 1), (53, 3), (65, 1), (95, 1), (106, 1), (108, 1), (109, 1), (215, 1), (217, 1), (225, 1), (420, 1), (2184, 1), (2291, 1), (2830, 1), (3501, 1), (4059, 1), (12753, 1), (14301, 1), (16668, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (37, 1), (50, 1), (53, 1), (77, 1), (108, 1), (185, 1), (186, 1), (1041, 1), (1224, 1), (1342, 1), (1613, 1), (2648, 1), (3013, 1), (3046, 1), (3685, 1), (3923, 1), (10584, 1), (14853, 1), (16669, 1), (16670, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (53, 1), (108, 1), (217, 1), (225, 1), (269, 1), (300, 1), (632, 1), (1549, 1), (1656, 1), (2866, 1), (3730, 1), (5970, 1), (7400, 1), (16671, 1)], [(8, 1), (18, 2), (25, 2), (31, 1), (65, 3), (222, 1), (287, 1), (530, 1), (645, 1), (1932, 1), (3796, 1), (14206, 1), (16290, 1), (16672, 1)], [(8, 1), (18, 1), (19, 1), (24, 1), (50, 1), (53, 1), (65, 2), (77, 1), (81, 1), (117, 1), (232, 1), (922, 1), (1312, 1), (2096, 1), (3417, 1), (3796, 1), (5595, 1), (10282, 1)], [(8, 1), (18, 1), (24, 1), (65, 1), (77, 1), (373, 1), (516, 1), (1901, 1), (8724, 1), (16673, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (25, 2), (45, 1), (50, 1), (53, 2), (58, 1), (109, 1), (215, 1), (410, 1), (414, 1), (709, 1), (1068, 1), (1867, 1), (2878, 1), (3327, 1), (3458, 1), (7201, 1), (9047, 1), (10747, 1), (16672, 1), (16673, 1), (16674, 1)], [(8, 1), (20, 2), (53, 3), (58, 1), (65, 2), (414, 1), (428, 1), (446, 1), (645, 1), (1392, 1), (1527, 1), (2291, 1), (2774, 1), (2878, 1), (3467, 1), (13404, 1), (14206, 1), (16628, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (30, 1), (53, 2), (58, 1), (77, 1), (106, 1), (109, 1), (117, 1), (173, 1), (190, 1), (214, 1), (215, 1), (232, 1), (275, 1), (387, 1), (414, 1), (516, 1), (581, 1), (704, 1), (885, 1), (1324, 1), (2467, 1), (2774, 1), (3977, 1), (7237, 1), (14206, 1), (16675, 1), (16676, 1), (16677, 1), (16678, 1)], [(20, 1), (45, 2), (50, 2), (71, 1), (99, 1), (111, 1), (173, 1), (229, 1), (269, 2), (285, 1), (289, 1), (452, 1), (708, 1), (869, 1), (1714, 1), (2836, 1), (4030, 1), (8558, 1), (13232, 1), (16679, 1)], [(8, 1), (65, 1), (214, 1), (399, 1), (600, 1), (2743, 1), (3919, 1), (7554, 1), (9047, 1), (16680, 1)], [(1544, 1), (16681, 1)], [(8, 1), (24, 1), (16682, 1)], [(8, 1), (18, 2), (20, 4), (22, 1), (23, 1), (25, 1), (31, 1), (50, 2), (53, 4), (55, 1), (65, 1), (90, 1), (95, 1), (97, 1), (99, 4), (172, 2), (182, 1), (185, 1), (193, 1), (242, 1), (268, 1), (285, 2), (328, 1), (347, 1), (414, 1), (452, 1), (526, 1), (1066, 1), (1172, 1), (1276, 1), (1329, 1), (1363, 1), (1449, 1), (1462, 1), (1541, 1), (1732, 1), (2543, 1), (2546, 1), (2847, 1), (3121, 1), (3422, 1), (5622, 1), (6129, 1), (6624, 1), (7329, 1), (7385, 1), (12042, 1), (16683, 1), (16684, 1), (16685, 1), (16686, 1)], [(8, 1), (18, 3), (20, 4), (22, 3), (25, 1), (31, 2), (45, 2), (50, 5), (53, 6), (65, 1), (77, 1), (82, 2), (90, 1), (95, 1), (99, 1), (117, 1), (193, 1), (206, 1), (215, 2), (232, 1), (285, 1), (293, 1), (623, 1), (692, 1), (706, 1), (833, 1), (1088, 1), (1118, 1), (1350, 1), (1732, 1), (1932, 1), (2095, 1), (2318, 1), (2401, 1), (2428, 1), (2434, 1), (3056, 1), (3448, 1), (3507, 1), (3509, 1), (3614, 1), (4032, 1), (4902, 1), (5142, 1), (5743, 1), (5816, 1), (6082, 1), (7184, 1), (13555, 1), (13659, 1), (13941, 1), (14761, 1), (14961, 1), (16687, 1), (16688, 1)], [(8, 1), (20, 5), (22, 1), (31, 1), (51, 1), (54, 1), (58, 1), (77, 1), (111, 1), (331, 1), (531, 1), (1041, 1), (1964, 1), (2744, 1), (2785, 1), (3509, 1), (4542, 1)], [(8, 1), (20, 6), (22, 1), (25, 3), (31, 3), (50, 3), (53, 5), (58, 1), (90, 1), (97, 1), (108, 2), (193, 1), (215, 2), (531, 2), (753, 1), (792, 1), (894, 1), (1159, 2), (1257, 1), (1582, 1), (2153, 1), (2258, 1), (2443, 1), (3042, 1), (3509, 2), (3528, 1), (4627, 1), (4670, 1), (5060, 1), (5342, 1), (7088, 1), (8548, 1), (10154, 1), (10709, 1), (12828, 1), (13241, 1), (16689, 1), (16690, 1), (16691, 1), (16692, 1), (16693, 1), (16694, 1)], [(7, 1), (8, 1), (18, 2), (20, 7), (25, 2), (32, 1), (53, 5), (55, 2), (58, 2), (72, 1), (109, 1), (173, 1), (193, 1), (215, 2), (323, 1), (418, 1), (459, 1), (504, 1), (708, 1), (727, 1), (893, 1), (1670, 1), (1960, 1), (2543, 1), (2934, 1), (3015, 1), (3036, 1), (3633, 1), (4605, 1), (4951, 1), (5793, 1), (5969, 1), (6164, 1), (6274, 1), (8640, 1), (9507, 1), (13030, 1), (16626, 1), (16695, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (32, 1), (50, 1), (53, 2), (58, 1), (173, 1), (215, 1), (281, 1), (531, 1), (1041, 1), (1958, 1), (2064, 1), (2276, 1), (5642, 1), (7061, 1), (9291, 1), (9522, 1), (16696, 1), (16697, 1), (16698, 1), (16699, 2)], [(8, 1), (18, 2), (19, 2), (20, 5), (22, 2), (25, 1), (31, 1), (53, 2), (58, 2), (69, 1), (85, 1), (106, 1), (173, 1), (193, 1), (215, 1), (240, 1), (293, 1), (516, 1), (1041, 1), (1698, 1), (2178, 1), (2344, 1), (3125, 1), (3181, 1), (3300, 1), (3552, 1), (3638, 1), (4787, 1), (4884, 1), (5148, 1), (5986, 1), (12217, 1), (13659, 1), (16699, 1), (16700, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (50, 1), (53, 2), (58, 3), (65, 1), (77, 1), (108, 1), (173, 1), (174, 1), (193, 1), (310, 1), (415, 1), (418, 1), (420, 1), (428, 1), (433, 1), (448, 1), (704, 1), (771, 1), (897, 1), (1069, 1), (1248, 1), (1302, 1), (1377, 1), (2546, 1), (2862, 1), (3513, 1), (3685, 1), (3890, 1), (5384, 1), (5682, 1), (8336, 1), (9916, 1), (16701, 1)], [(8, 1), (24, 1), (31, 1), (32, 1), (45, 1), (50, 1), (53, 1), (99, 1), (263, 1), (307, 1), (2774, 1), (3994, 1), (7399, 1), (16626, 1), (16702, 1)], [(8, 1), (19, 1), (20, 2), (30, 1), (31, 1), (37, 1), (45, 2), (50, 1), (53, 1), (70, 1), (185, 1), (190, 1), (902, 1), (1393, 1), (1529, 1), (3392, 1), (7782, 1), (7947, 1), (8306, 1), (11551, 1), (11881, 1), (16703, 1)], [(8, 1), (18, 3), (20, 4), (22, 1), (25, 1), (31, 1), (50, 1), (53, 5), (55, 1), (58, 1), (65, 1), (77, 1), (97, 2), (108, 1), (109, 1), (117, 1), (193, 1), (215, 1), (232, 1), (305, 1), (428, 1), (446, 2), (531, 1), (658, 1), (1071, 1), (1693, 1), (1830, 1), (2291, 2), (2457, 1), (3495, 1), (3694, 1), (3902, 1), (4138, 1), (4677, 1), (4783, 1), (4941, 1), (5953, 1), (8306, 1), (9047, 1), (12963, 1), (13367, 1), (14219, 1), (14737, 1), (16704, 1), (16705, 1), (16706, 1), (16707, 1)], [(18, 4), (20, 1), (22, 3), (31, 1), (96, 2), (108, 2), (185, 1), (247, 1), (414, 1), (459, 1), (531, 1), (1758, 1), (2401, 1), (2404, 1), (2842, 1), (4757, 1), (6233, 1), (7097, 1), (7738, 1), (10095, 1), (16626, 1), (16708, 1), (16709, 1), (16710, 1), (16711, 1)], [(7742, 1)], [(247, 1), (1758, 1), (4537, 1), (7742, 1)], [(247, 1), (1758, 1), (4537, 1)], [(8, 1), (19, 1), (53, 3), (77, 1), (106, 1), (109, 1), (3020, 1), (3934, 1), (13845, 1), (16626, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (25, 2), (30, 1), (31, 1), (45, 1), (50, 1), (53, 2), (58, 1), (71, 1), (77, 1), (85, 1), (122, 1), (215, 3), (289, 1), (293, 1), (372, 1), (428, 1), (515, 1), (537, 1), (538, 1), (608, 1), (703, 1), (1041, 1), (1450, 1), (1499, 1), (2230, 1), (2245, 1), (2577, 1), (3574, 1), (5386, 1), (6092, 1), (9048, 1), (14184, 1), (14242, 1), (16712, 1), (16713, 1), (16714, 1)], [(1544, 1), (16715, 1)], [(8, 1), (24, 1), (65, 1), (5931, 1), (16716, 1)], [(7, 1), (8, 1), (20, 1), (65, 1), (77, 1), (531, 1), (662, 1), (815, 1), (913, 1), (1159, 2), (1517, 1), (1903, 1), (4103, 1), (5447, 1), (12753, 1), (16717, 1)], [(8, 1), (25, 1), (31, 1), (50, 1), (53, 3), (55, 1), (407, 1), (709, 1), (1156, 1), (3495, 1), (3854, 1), (6896, 1), (8266, 1), (8364, 1), (12416, 1), (15650, 1), (16232, 1), (16718, 1), (16719, 1)], [(8, 1), (18, 1), (19, 1), (53, 1), (65, 1), (77, 1), (109, 1), (122, 1), (215, 1), (430, 1), (459, 1), (504, 1), (1159, 1), (2753, 1), (8490, 1), (8640, 1), (15377, 1), (16720, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (50, 1), (53, 3), (65, 1), (214, 1), (407, 1), (662, 1), (815, 1), (1596, 1), (2036, 1), (2064, 1), (4138, 1), (8453, 1), (10017, 1), (16721, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (24, 1), (25, 2), (31, 1), (50, 3), (53, 1), (69, 1), (214, 1), (448, 1), (456, 1), (531, 1), (704, 1), (796, 1), (1071, 1), (1393, 1), (1526, 1), (1760, 1), (2872, 1), (2998, 1), (4938, 1), (5712, 1), (6105, 1), (6155, 1), (8266, 1), (8490, 1), (10783, 1), (12336, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (24, 1), (25, 1), (37, 1), (50, 1), (53, 4), (58, 2), (77, 1), (82, 1), (256, 1), (310, 1), (414, 1), (432, 1), (621, 1), (1747, 1), (2064, 1), (2734, 1), (4938, 1), (5375, 1), (5663, 1), (5749, 1), (8208, 1), (8923, 1), (9935, 1), (12079, 1), (12564, 1), (15650, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (25, 1), (53, 1), (55, 1), (58, 1), (77, 1), (193, 1), (829, 1), (924, 1), (1054, 1), (1549, 1), (3419, 1), (3540, 1), (7350, 1), (10708, 1), (12979, 1), (14849, 1), (16722, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (65, 1), (117, 1), (185, 1), (334, 1), (418, 1), (419, 1), (815, 1), (1129, 1), (2819, 1), (3726, 1), (5953, 1), (6064, 1), (7920, 1), (9477, 1), (9731, 1), (16723, 1)], [(8, 1), (20, 1), (31, 1), (82, 1), (214, 1), (711, 1), (2466, 1), (2672, 1), (3013, 1), (5788, 1), (16724, 1)], [(8, 1), (20, 1), (25, 1), (55, 1), (65, 1), (214, 1), (341, 1), (388, 1), (516, 1), (711, 2), (1057, 1), (1243, 1), (1840, 1), (1855, 1), (2021, 1), (3510, 1), (12165, 1), (16725, 1)], [(8, 1), (18, 1), (25, 1), (51, 1), (53, 1), (65, 1), (91, 1), (108, 1), (190, 1), (328, 1), (428, 1), (448, 1), (904, 1), (1224, 1), (1324, 1), (2076, 1), (3684, 1), (6423, 1), (6507, 1), (7192, 1), (14642, 1), (16726, 1)], [(7, 1), (8, 1), (20, 2), (21, 2), (31, 2), (53, 1), (68, 1), (91, 1), (214, 1), (228, 1), (269, 1), (414, 1), (632, 2), (645, 1), (777, 1), (1129, 1), (1980, 1), (2734, 1), (2886, 1), (3204, 1), (3392, 1), (4442, 1), (14423, 1), (16727, 1)], [(8, 1), (18, 1), (77, 1), (108, 1), (122, 1), (441, 1), (1780, 1), (2184, 1), (3986, 1), (14695, 1)], [(7, 1), (8, 1), (20, 5), (23, 1), (31, 3), (37, 1), (50, 1), (53, 6), (54, 2), (55, 1), (65, 1), (75, 1), (90, 2), (108, 1), (109, 1), (122, 1), (161, 1), (190, 1), (506, 1), (578, 1), (763, 1), (815, 1), (922, 1), (1122, 1), (1287, 1), (1342, 1), (1464, 1), (1477, 1), (1580, 1), (1598, 1), (1656, 1), (1980, 1), (2543, 1), (2666, 1), (2861, 1), (5487, 1), (6129, 1), (7605, 1), (8084, 1), (8975, 1), (16725, 2), (16728, 1), (16729, 1), (16730, 1)], [(7, 1), (8, 1), (20, 3), (50, 3), (53, 7), (65, 2), (77, 1), (90, 1), (109, 1), (418, 1), (632, 1), (662, 1), (815, 1), (999, 1), (1082, 1), (1363, 1), (1414, 1), (2435, 1), (2734, 1), (5953, 1), (6893, 1), (7143, 1), (11162, 1), (11563, 1), (15650, 1), (16464, 1), (16723, 1)], [(8, 1), (50, 1), (55, 1), (214, 1), (1456, 1), (2472, 1), (2734, 1), (3378, 1), (6105, 1), (6893, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (24, 1), (50, 3), (53, 4), (77, 1), (109, 1), (662, 1), (999, 1), (1392, 1), (1487, 1), (2064, 1), (3545, 1), (3700, 1), (4465, 1), (5704, 1), (5800, 1), (8923, 1), (9264, 1), (11343, 1), (15472, 1), (15575, 1), (15905, 1)], [(8, 1), (18, 1), (20, 1), (53, 1), (55, 1), (58, 1), (77, 1), (185, 1), (193, 1), (215, 2), (639, 1), (680, 1), (1626, 1), (2466, 1), (4510, 1), (4526, 1), (4941, 1), (15575, 1), (16731, 1), (16732, 1)], [(8, 1), (22, 1), (53, 1), (109, 1), (214, 1), (268, 1), (351, 1), (430, 1), (711, 1), (1626, 1), (2688, 1), (5031, 1), (8980, 1), (15814, 1)], [(8, 1), (18, 1), (108, 1), (226, 1), (287, 1), (331, 1), (434, 1), (498, 1), (626, 1), (1416, 1)], [(8, 1), (53, 1), (54, 1), (65, 1), (90, 1), (117, 2), (122, 1), (185, 1), (193, 1), (232, 1), (410, 1), (414, 1), (459, 1), (662, 1), (763, 1), (815, 1), (985, 1), (1224, 1), (1400, 1), (1488, 1), (2211, 1), (3026, 1), (4296, 1), (6129, 1)], [(8, 1), (19, 2), (53, 1), (122, 1), (1362, 1), (2245, 1), (7295, 1), (16733, 1)], [(64, 1), (328, 1), (1714, 1), (2849, 1), (2855, 1)], [(8, 1), (20, 2), (25, 1), (897, 1), (1159, 1), (4267, 1), (5657, 1), (9731, 1)], [(20, 1), (53, 1), (66, 1), (662, 1), (999, 1), (1938, 1), (2705, 1)], [(8, 1), (20, 1), (45, 1), (53, 3), (54, 1), (106, 1), (108, 1), (217, 1), (347, 1), (387, 1), (428, 1), (531, 1), (1043, 1), (2126, 1), (3082, 1), (3098, 1), (7013, 1), (8290, 1), (12209, 1)], [(8, 1), (18, 2), (19, 1), (31, 2), (53, 2), (55, 1), (58, 1), (65, 1), (71, 2), (90, 1), (108, 1), (225, 1), (233, 1), (325, 1), (662, 1), (763, 1), (815, 1), (924, 1), (999, 1), (1342, 1), (1488, 1), (2096, 1), (9158, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (50, 1), (53, 1), (77, 1), (90, 1), (215, 1), (268, 1), (924, 1), (2185, 1), (2839, 1), (3359, 1), (4465, 1), (5409, 1), (7155, 1), (7890, 1), (16734, 1)], [(8, 1), (18, 1), (20, 5), (32, 1), (50, 1), (53, 1), (72, 1), (85, 1), (98, 1), (111, 1), (337, 1), (359, 1), (827, 1), (1041, 1), (1702, 1), (1937, 1), (3333, 1), (4842, 1), (9047, 1), (14119, 1), (14121, 1), (14123, 1), (14151, 1), (16735, 1), (16736, 1)], [(8, 1), (53, 1), (1456, 1), (6608, 1), (10254, 1), (14123, 1)], [(7, 1), (8, 1), (18, 2), (20, 3), (25, 1), (26, 1), (45, 2), (53, 1), (65, 1), (95, 1), (111, 1), (229, 2), (551, 1), (776, 1), (1005, 1), (4885, 1), (5266, 1), (7155, 1), (7585, 1), (12110, 1), (16737, 1), (16738, 1), (16739, 1), (16740, 1)], [(45, 1), (90, 1), (173, 1), (229, 1), (247, 1), (299, 1), (1801, 1), (11506, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (31, 1), (45, 1), (53, 1), (58, 2), (77, 1), (82, 1), (90, 1), (99, 2), (108, 2), (203, 2), (256, 1), (1308, 1), (1342, 1), (1801, 1), (3476, 1), (11241, 1), (11842, 2)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 1), (58, 1), (122, 1), (215, 1), (225, 1), (410, 1), (531, 1), (744, 1), (830, 1), (1502, 1), (2168, 1), (4370, 1), (9423, 1), (13183, 1), (16298, 1), (16741, 1), (16742, 1)], [(8, 1), (22, 1), (50, 2), (53, 3), (58, 1), (77, 1), (108, 1), (122, 1), (361, 1), (516, 1), (531, 1), (1656, 1), (2133, 1), (2549, 1), (5912, 1), (8765, 1), (11063, 1)], [(8, 1), (31, 1), (53, 1), (263, 1), (459, 1), (639, 1), (662, 1), (2646, 1), (3902, 1)], [(8, 1), (22, 3), (53, 3), (54, 2), (109, 1), (217, 1), (300, 1), (347, 1), (353, 1), (459, 1), (583, 1), (751, 1), (752, 1), (754, 1), (2168, 1), (2283, 1), (5704, 1), (10273, 1), (16743, 1)], [(7, 1), (8, 1), (20, 3), (25, 1), (31, 1), (53, 4), (54, 1), (55, 1), (90, 1), (97, 1), (109, 1), (186, 1), (193, 1), (197, 1), (215, 1), (301, 1), (939, 1), (999, 1), (1540, 1), (1698, 1), (2258, 1), (2283, 1), (3521, 1), (4143, 1), (5368, 1), (5427, 1), (6608, 1), (10929, 1), (10958, 1), (11595, 1), (16744, 1), (16745, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (215, 1), (414, 1), (448, 1), (504, 1), (709, 1), (5266, 1), (9977, 1), (11904, 1), (12405, 1), (14612, 1), (15778, 1)], [(8, 1), (20, 5), (25, 2), (31, 1), (50, 2), (53, 3), (55, 1), (65, 1), (91, 1), (108, 1), (109, 1), (241, 1), (281, 1), (310, 1), (450, 1), (1037, 1), (1297, 1), (1927, 1), (2340, 1), (2646, 1), (2962, 1), (3533, 1), (3694, 1), (4578, 1), (5867, 1), (5921, 1), (7145, 1), (10006, 1), (13895, 1), (16746, 1), (16747, 1), (16748, 1), (16749, 1), (16750, 1)], [(8, 1), (18, 1), (20, 2), (24, 1), (31, 1), (32, 1), (50, 2), (53, 2), (91, 1), (109, 1), (662, 1), (1082, 1), (1270, 1), (3540, 1), (4450, 1), (5174, 1), (9731, 1), (12751, 1)], [(8, 1), (20, 1), (50, 1), (53, 3), (65, 1), (95, 1), (117, 1), (185, 1), (232, 1), (414, 1), (459, 1), (709, 1), (775, 1), (2029, 1), (3560, 1), (11345, 1), (11926, 1), (16751, 1), (16752, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (50, 2), (53, 5), (85, 1), (91, 1), (111, 1), (186, 1), (428, 1), (692, 1), (704, 1), (711, 1), (1057, 1), (1068, 1), (1071, 1), (2472, 1), (2599, 1), (2888, 1), (3025, 1), (3275, 1), (5651, 1), (5953, 1), (6608, 1), (6827, 1), (8136, 1), (9047, 1), (9590, 1), (12123, 1), (12195, 1), (12292, 1), (16753, 1)], [(8, 1), (24, 1), (31, 1), (1324, 1), (1801, 1), (2163, 1), (8941, 1), (9984, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (37, 1), (50, 2), (53, 2), (54, 1), (97, 1), (197, 1), (328, 1), (428, 1), (450, 1), (515, 1), (537, 1), (553, 1), (709, 1), (903, 1), (2402, 1), (2962, 2), (3391, 1), (5753, 1)], [(8, 1), (20, 2), (50, 2), (53, 5), (54, 1), (382, 1), (414, 1), (632, 1), (662, 1), (1270, 1), (2457, 1), (2772, 1), (5174, 1), (7329, 1), (16754, 1)], [(8, 1), (18, 1), (65, 1), (106, 1), (108, 1), (365, 1), (2024, 1), (12602, 1)], [(8, 1), (20, 3), (31, 1), (50, 1), (53, 3), (82, 1), (261, 1), (325, 1), (420, 1), (428, 1), (450, 2), (999, 1), (1057, 1), (1481, 1), (1695, 1), (2332, 1), (2343, 1), (3255, 1), (3331, 1), (3392, 1), (3545, 1), (8272, 1), (16013, 1)], [(8, 1), (20, 4), (25, 2), (31, 1), (32, 1), (37, 2), (50, 2), (53, 3), (55, 1), (206, 1), (449, 1), (450, 2), (459, 1), (625, 1), (662, 1), (1801, 1), (2938, 1), (3955, 1), (5913, 1), (6183, 1), (6201, 1), (6695, 1), (8138, 1), (10410, 1), (11837, 1), (16501, 1), (16755, 1), (16756, 1), (16757, 1)], [(8, 1), (18, 1), (19, 2), (20, 14), (22, 4), (25, 13), (31, 3), (37, 1), (50, 6), (53, 12), (55, 3), (85, 1), (90, 1), (91, 1), (109, 1), (117, 1), (209, 1), (215, 3), (232, 1), (365, 2), (382, 1), (414, 2), (415, 1), (428, 2), (432, 1), (450, 5), (516, 1), (692, 1), (709, 1), (711, 1), (754, 1), (772, 1), (775, 1), (778, 1), (790, 1), (897, 1), (903, 1), (999, 1), (1076, 1), (1082, 1), (1122, 1), (1129, 1), (1159, 4), (1224, 1), (1432, 1), (1511, 1), (1528, 1), (1628, 1), (1824, 1), (2261, 1), (2283, 1), (2332, 1), (2355, 2), (2436, 1), (2725, 1), (2772, 2), (4061, 1), (4237, 1), (4368, 1), (4479, 1), (4603, 1), (5266, 1), (5611, 1), (5896, 1), (6116, 1), (6129, 1), (6192, 1), (6608, 1), (6639, 1), (6969, 1), (7068, 1), (7127, 1), (7359, 1), (7641, 1), (10565, 1), (10584, 1), (10765, 1), (10958, 1), (11981, 1), (12209, 1), (12632, 1), (13084, 1), (13703, 1), (13895, 1), (14199, 1), (16753, 1), (16758, 1), (16759, 1), (16760, 1), (16761, 1), (16762, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (50, 1), (53, 2), (58, 1), (65, 1), (108, 1), (174, 1), (185, 1), (193, 1), (215, 1), (241, 1), (365, 1), (414, 1), (506, 1), (697, 1), (709, 1), (903, 1), (999, 1), (1159, 1), (1665, 1), (2296, 1), (4533, 1), (5064, 1), (11415, 1)], [(8, 1), (20, 5), (23, 1), (31, 1), (50, 1), (53, 4), (83, 1), (90, 1), (108, 1), (256, 1), (726, 1), (1149, 1), (1296, 1), (2283, 1), (3114, 1), (5734, 1), (10976, 1), (16763, 1), (16764, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (23, 1), (24, 1), (25, 1), (31, 3), (40, 1), (50, 1), (53, 1), (90, 1), (97, 1), (193, 2), (206, 1), (215, 1), (285, 1), (293, 1), (307, 1), (506, 2), (702, 1), (777, 1), (999, 1), (1350, 2), (1580, 1), (1627, 1), (1628, 1), (1668, 1), (1801, 1), (2095, 1), (2344, 1), (2646, 1), (2911, 1), (2969, 1), (3996, 1), (4533, 1), (4585, 1), (7100, 1), (7181, 1), (11926, 1), (12796, 1), (16621, 1), (16765, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (20, 2), (25, 1), (31, 1), (40, 1), (90, 1), (301, 1), (387, 1), (506, 1), (605, 1), (1224, 1), (1366, 1), (1597, 1), (2847, 1), (3466, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (50, 1), (54, 1), (109, 1), (1799, 1), (1893, 1), (1901, 1), (2102, 1), (2924, 1), (2965, 1), (4722, 1), (13826, 1), (16766, 1)], [(8, 1), (19, 2), (20, 2), (22, 3), (23, 2), (24, 1), (25, 1), (31, 2), (50, 2), (53, 3), (54, 2), (58, 1), (65, 1), (91, 1), (97, 1), (236, 1), (261, 1), (305, 1), (430, 1), (459, 1), (632, 1), (754, 1), (790, 1), (1088, 1), (1350, 1), (1580, 4), (1702, 1), (1731, 1), (1893, 1), (1981, 1), (2366, 1), (2514, 1), (2772, 1), (2884, 1), (3363, 1), (4228, 1), (5068, 1), (5158, 1), (5325, 1), (5921, 1), (6225, 1), (8018, 1), (9971, 1), (12217, 1), (16767, 1)], [(7, 2), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 2), (34, 1), (37, 1), (50, 1), (53, 2), (58, 2), (166, 1), (185, 1), (217, 1), (256, 1), (268, 1), (301, 1), (307, 1), (347, 1), (506, 1), (605, 1), (903, 1), (1102, 1), (3536, 1), (3827, 1), (4136, 1), (6545, 1), (7362, 1), (7515, 1), (8245, 1), (8517, 1), (9755, 1), (16768, 1)], [(7, 1), (8, 1), (18, 1), (20, 1), (25, 1), (32, 1), (50, 1), (256, 1), (307, 1), (353, 1), (506, 1), (897, 1), (903, 1), (1722, 1), (2286, 1), (2428, 1), (3444, 1), (10976, 1), (14325, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (37, 1), (53, 1), (54, 2), (82, 1), (90, 1), (109, 1), (161, 1), (188, 1), (215, 1), (289, 1), (293, 1), (387, 1), (414, 1), (1460, 1), (2070, 1), (2296, 1), (2789, 1), (6116, 2), (6775, 1), (6901, 1), (7208, 1), (16769, 1), (16770, 1)], [(8, 1), (20, 3), (50, 1), (126, 1), (215, 1), (426, 1), (506, 1), (777, 1), (983, 1), (3072, 1), (3226, 1), (16771, 1)], [(8, 1), (20, 4), (31, 1), (53, 3), (54, 1), (55, 1), (63, 1), (90, 1), (256, 1), (448, 1), (697, 1), (1354, 1), (1580, 1), (1859, 1), (6225, 2), (7397, 1), (7547, 1), (9481, 1), (9847, 1), (16772, 1)], [(247, 1), (332, 1), (1193, 1)], [(53, 1), (55, 1), (77, 1), (96, 1), (506, 1), (1196, 1), (1714, 1)], [(8, 1), (23, 1), (236, 1)], [(247, 1), (16773, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 2), (31, 1), (53, 2), (54, 1), (55, 1), (117, 1), (232, 1), (347, 1), (410, 1), (626, 1), (709, 1), (710, 1), (1149, 1), (1159, 1), (1580, 2), (1799, 1), (2102, 1), (2406, 1), (4557, 1), (9755, 1), (16774, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (25, 1), (31, 1), (53, 2), (109, 1), (186, 1), (359, 1), (428, 1), (452, 1), (488, 1), (531, 1), (626, 1), (754, 1), (921, 1), (1159, 1), (1342, 1), (1417, 1), (1570, 1), (1731, 1), (2383, 1), (3783, 1), (15242, 1)], [(7, 1), (20, 1), (25, 2), (50, 2), (53, 4), (109, 1), (185, 1), (247, 1), (288, 1), (443, 1), (827, 1), (1224, 1), (1329, 1), (1347, 1), (2649, 1), (3582, 1), (4615, 1), (5038, 1), (8362, 1), (15937, 1), (16775, 1)], [(20, 1), (31, 1), (50, 1), (53, 2), (82, 1), (174, 1), (247, 1), (278, 1), (645, 1), (999, 1), (1670, 1), (2977, 1), (4942, 1)], [(53, 1), (55, 1), (75, 1), (247, 1), (414, 1), (3679, 1), (4533, 1), (4841, 1), (6669, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (37, 1), (50, 1), (53, 4), (82, 2), (420, 1), (487, 1), (626, 1), (644, 1), (763, 1), (999, 1), (1041, 1), (1170, 1), (2048, 1), (3444, 1), (4062, 1), (4455, 1), (4841, 1), (6225, 1), (9755, 1), (10107, 1), (10976, 1), (16776, 1), (16777, 1)], [(20, 8), (21, 1), (22, 2), (31, 3), (37, 1), (53, 6), (65, 1), (71, 1), (83, 1), (94, 1), (190, 2), (193, 1), (202, 1), (247, 1), (256, 1), (323, 1), (415, 1), (516, 1), (553, 1), (834, 1), (1219, 1), (1308, 1), (1348, 1), (3242, 1), (3426, 2), (3536, 1), (3852, 1), (4615, 1), (5199, 1), (5757, 1), (6416, 1), (6608, 1), (8146, 1), (8362, 1), (9342, 1), (11542, 1), (16778, 1), (16779, 1), (16780, 1), (16781, 1)], [(8, 1), (20, 3), (25, 1), (37, 1), (50, 3), (53, 3), (82, 1), (117, 2), (232, 2), (1071, 1), (1091, 1), (1240, 1), (1270, 1), (1911, 3), (3009, 1), (3426, 1), (3828, 1), (4965, 1), (5002, 1), (5791, 1), (5909, 1), (6685, 1), (16782, 1), (16783, 1), (16784, 1), (16785, 1), (16786, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (50, 2), (53, 2), (77, 2), (82, 1), (97, 2), (168, 2), (185, 2), (418, 1), (583, 1), (632, 1), (2276, 1), (3426, 1), (5882, 1), (5909, 1)], [(8, 1), (20, 4), (21, 1), (30, 1), (31, 1), (50, 1), (71, 1), (82, 1), (90, 2), (94, 2), (111, 1), (124, 1), (241, 1), (323, 1), (645, 2), (833, 1), (1013, 1), (1072, 1), (1686, 2), (4299, 1), (4993, 1), (6700, 1), (15133, 1)], [(8, 1), (53, 1), (922, 1), (1068, 1), (6044, 1)], [(8, 1), (20, 2), (24, 1), (25, 2), (37, 2), (50, 4), (53, 3), (54, 1), (77, 2), (117, 1), (232, 1), (600, 1), (988, 1), (2241, 1), (4910, 1), (5358, 1), (6044, 1), (7985, 1), (11762, 1), (15128, 2), (16787, 1), (16788, 1)], [(64, 1), (66, 1), (77, 1), (2849, 1), (9475, 1)], [(8, 1), (7074, 1)], [(8, 1), (50, 1), (56, 1), (82, 1), (106, 1), (117, 1), (232, 1), (1824, 1), (1867, 1), (2298, 1), (3083, 1), (4671, 1), (4993, 1), (11762, 1), (16789, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 8), (22, 2), (25, 6), (37, 1), (50, 2), (53, 1), (55, 1), (65, 2), (77, 1), (82, 1), (90, 1), (173, 1), (178, 1), (215, 1), (274, 1), (285, 1), (301, 1), (310, 1), (323, 1), (414, 1), (600, 1), (645, 1), (833, 1), (1081, 1), (1131, 1), (1432, 1), (1610, 1), (1902, 1), (1915, 1), (1928, 1), (1964, 1), (2132, 1), (2358, 1), (2539, 1), (3189, 1), (3435, 1), (3974, 1), (4179, 1), (4299, 1), (4799, 1), (4941, 1), (5167, 1), (5199, 1), (5816, 1), (6105, 1), (6326, 1), (8265, 1), (8290, 1), (8998, 1), (9868, 1), (10819, 1), (11762, 1), (16790, 1), (16791, 1), (16792, 1), (16793, 1), (16794, 1), (16795, 1), (16796, 1), (16797, 1), (16798, 1), (16799, 1)], [(8, 1), (10, 1), (11, 1), (20, 2), (23, 1), (31, 1), (50, 3), (53, 4), (64, 3), (66, 1), (85, 1), (90, 1), (173, 1), (260, 2), (292, 1), (301, 1), (614, 1), (645, 1), (672, 1), (697, 1), (893, 1), (1529, 1), (2490, 1), (2589, 1), (4222, 1), (6982, 1), (9006, 1), (11762, 1), (16800, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (53, 1), (58, 2), (82, 1), (108, 1), (186, 1), (215, 1), (245, 2), (248, 1), (506, 1), (792, 1), (897, 1), (999, 1), (1342, 1), (6600, 1), (6936, 1), (16801, 1), (16802, 1)], [(8, 1), (18, 2), (22, 1), (77, 4), (90, 2), (256, 1), (328, 1), (351, 1), (2298, 1), (4910, 2), (5734, 1)], [(8, 1), (18, 1), (20, 1), (25, 2), (31, 2), (50, 1), (53, 2), (77, 1), (85, 1), (90, 1), (91, 1), (310, 1), (328, 1), (331, 1), (428, 1), (448, 1), (581, 1), (1458, 1), (1717, 1), (2088, 1), (2986, 1), (4216, 1), (5360, 1), (5818, 1), (6162, 1), (10204, 1), (10623, 1), (16803, 1), (16804, 1), (16805, 1)], [(8, 1), (20, 2), (22, 1), (31, 2), (40, 1), (45, 1), (53, 4), (77, 2), (90, 2), (108, 1), (173, 1), (260, 3), (281, 1), (293, 1), (331, 1), (388, 1), (415, 1), (504, 1), (561, 1), (711, 1), (833, 1), (1102, 1), (1702, 1), (1809, 1), (2655, 1), (3110, 1), (5818, 1), (6783, 1), (10699, 1), (10815, 2), (12133, 1), (16805, 1), (16806, 1)], [(1544, 1), (16807, 1)], [(8, 1), (24, 1), (16808, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 3), (65, 1), (69, 1), (99, 3), (108, 1), (109, 1), (117, 2), (172, 1), (232, 2), (236, 1), (269, 1), (285, 1), (448, 1), (459, 2), (662, 1), (708, 1), (815, 1), (1066, 1), (1139, 1), (1416, 1), (1958, 1), (2034, 1), (2343, 1), (2965, 1), (2994, 1), (3301, 1), (3520, 1), (5427, 1), (6129, 2), (6170, 1), (14442, 1), (16809, 1), (16810, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (31, 1), (45, 1), (50, 1), (261, 1), (281, 1), (351, 1), (450, 1), (711, 1), (1090, 1), (1129, 1), (2193, 1), (2324, 1), (6258, 1), (6267, 1), (7180, 1), (7562, 1), (11084, 1), (11229, 1), (14288, 1), (15910, 1)], [(8, 1), (20, 1), (50, 1), (53, 2), (77, 1), (108, 1), (124, 1), (359, 1), (537, 1), (833, 1), (1960, 1), (3919, 1), (4128, 1), (7784, 1), (9263, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (31, 3), (45, 2), (53, 2), (77, 1), (185, 1), (553, 1), (2269, 1), (2276, 2), (2283, 1), (2377, 1), (3241, 1), (3809, 1), (4826, 1), (16811, 1)], [(8, 1), (20, 2), (31, 1), (50, 1), (53, 2), (173, 2), (215, 1), (293, 1), (301, 1), (1571, 1), (2365, 2), (3413, 1), (4692, 1), (6026, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (30, 1), (31, 2), (36, 1), (45, 1), (53, 2), (58, 1), (90, 1), (117, 2), (232, 2), (293, 1), (310, 1), (531, 2), (709, 1), (1224, 1), (1702, 1), (1951, 1), (2401, 1), (3536, 1), (4062, 1), (4852, 1), (5919, 1), (6165, 1), (16812, 1), (16813, 1), (16814, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (21, 2), (25, 2), (45, 1), (50, 2), (51, 1), (53, 3), (55, 1), (65, 1), (91, 1), (96, 1), (193, 2), (215, 1), (256, 1), (328, 1), (662, 1), (815, 1), (1102, 1), (2778, 1), (3413, 1), (3534, 1), (3539, 1), (3700, 1), (3756, 1), (4706, 1), (7562, 1), (7826, 1), (10339, 1), (14457, 1), (14459, 1), (16815, 1), (16816, 1), (16817, 1), (16818, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 1), (31, 1), (36, 1), (50, 1), (53, 1), (111, 1), (278, 1), (537, 1), (892, 1), (1041, 1), (3041, 1), (4299, 1), (4840, 1), (4885, 1), (7811, 1), (8121, 1), (9162, 1), (9683, 1), (10974, 1), (16819, 1), (16820, 1), (16821, 1)], [(8, 1), (31, 1), (77, 1), (122, 1), (215, 1), (2690, 1), (3160, 1), (4167, 1), (6008, 1), (8355, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (36, 1), (45, 2), (50, 2), (53, 2), (71, 1), (108, 1), (186, 1), (215, 2), (229, 1), (260, 1), (293, 1), (378, 1), (414, 1), (537, 1), (1041, 1), (1541, 1), (2852, 1), (3465, 1), (3970, 1), (5804, 1), (16822, 1), (16823, 1), (16824, 2)], [(1544, 1), (16825, 1)], [(8, 1), (25, 1), (1009, 1), (8465, 1), (16826, 1), (16827, 1)], [(7, 1), (10, 1), (11, 1), (19, 4), (20, 14), (21, 2), (22, 5), (23, 1), (25, 7), (31, 3), (32, 1), (45, 5), (50, 6), (51, 1), (53, 18), (54, 1), (58, 2), (65, 1), (77, 4), (91, 1), (92, 1), (97, 2), (109, 1), (173, 3), (185, 1), (215, 1), (217, 1), (225, 1), (247, 1), (256, 2), (288, 5), (307, 1), (310, 1), (317, 1), (334, 2), (338, 1), (414, 1), (428, 2), (461, 1), (504, 1), (516, 1), (537, 2), (706, 1), (708, 2), (776, 1), (777, 1), (790, 1), (830, 1), (897, 1), (975, 1), (999, 1), (1071, 1), (1139, 1), (1342, 1), (1395, 1), (1458, 1), (1596, 1), (1600, 1), (1625, 1), (1789, 1), (1867, 1), (1902, 1), (2233, 1), (2282, 1), (2344, 1), (2368, 1), (2543, 1), (2569, 1), (2637, 1), (2660, 2), (2988, 1), (3447, 1), (4163, 1), (4272, 1), (4551, 1), (4627, 1), (4778, 1), (5429, 1), (5649, 1), (5953, 1), (6205, 1), (6615, 1), (6844, 1), (6981, 1), (7375, 1), (7382, 1), (7680, 1), (8094, 1), (8603, 1), (8923, 1), (10830, 1), (12661, 1), (13328, 1), (14309, 1), (14324, 2), (14355, 1), (14575, 1), (14708, 1), (15597, 1), (16647, 1), (16828, 1), (16829, 1), (16830, 1), (16831, 1), (16832, 1), (16833, 1), (16834, 1)], [(8, 1), (19, 1), (25, 1), (124, 1), (812, 1), (3161, 1), (7466, 1)], [(8, 1), (18, 1), (20, 16), (22, 2), (25, 7), (31, 2), (32, 1), (37, 1), (53, 7), (65, 2), (68, 1), (77, 3), (90, 1), (91, 1), (108, 2), (112, 1), (185, 1), (193, 1), (197, 1), (214, 1), (215, 2), (228, 2), (275, 1), (281, 1), (282, 1), (287, 1), (293, 1), (354, 1), (365, 1), (405, 1), (428, 1), (450, 1), (462, 1), (516, 2), (529, 1), (537, 1), (581, 1), (645, 1), (697, 1), (709, 1), (768, 1), (777, 1), (864, 1), (1057, 1), (1122, 2), (1259, 1), (1490, 1), (1499, 1), (1529, 1), (1702, 1), (1960, 1), (2021, 1), (2064, 1), (2344, 1), (2646, 1), (2862, 2), (3257, 1), (3416, 1), (3425, 1), (4463, 1), (4575, 1), (5649, 2), (5733, 1), (7421, 1), (7545, 1), (8324, 1), (12046, 1), (15173, 1), (15238, 1), (15303, 1), (16531, 2), (16835, 1), (16836, 1)], [(8, 1), (19, 1), (20, 5), (25, 2), (31, 1), (37, 1), (50, 1), (53, 6), (77, 2), (214, 2), (287, 1), (310, 1), (334, 1), (365, 1), (406, 1), (420, 1), (430, 1), (450, 1), (709, 1), (897, 1), (976, 1), (2344, 1), (2359, 1), (2656, 1), (2667, 1), (3197, 1), (4856, 1), (5649, 1), (7188, 1), (9807, 1), (16466, 1), (16837, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (53, 1), (106, 1), (186, 1), (214, 1), (516, 1), (3181, 1), (4576, 1), (5076, 1), (6776, 1), (7753, 1), (16838, 1), (16839, 1)], [(8, 1), (20, 1), (31, 1), (37, 1), (50, 2), (53, 3), (77, 1), (185, 1), (269, 1), (359, 1), (407, 1), (1499, 1), (2096, 1), (2245, 1), (4073, 1), (6213, 1), (7605, 1), (16840, 1)], [(8, 1), (18, 1), (20, 1), (22, 6), (25, 1), (31, 1), (37, 2), (50, 2), (53, 9), (55, 2), (65, 2), (77, 1), (95, 1), (109, 1), (117, 1), (181, 1), (214, 1), (215, 1), (225, 1), (232, 1), (287, 1), (334, 2), (336, 1), (361, 1), (410, 2), (414, 2), (537, 1), (660, 1), (662, 1), (675, 1), (694, 1), (706, 1), (709, 1), (815, 1), (1021, 1), (1259, 1), (1354, 1), (1377, 1), (1529, 1), (1693, 1), (1801, 1), (2064, 1), (2075, 1), (2599, 1), (2660, 1), (2720, 1), (2753, 1), (2934, 1), (3700, 1), (3746, 1), (5649, 1), (6900, 1), (8441, 1), (8764, 1), (15492, 1), (16841, 1), (16842, 1), (16843, 1), (16844, 1), (16845, 1)], [(8, 1), (18, 2), (20, 4), (22, 1), (25, 3), (31, 1), (37, 1), (53, 1), (55, 1), (58, 1), (65, 3), (82, 1), (99, 4), (108, 1), (111, 1), (185, 1), (256, 1), (285, 1), (301, 1), (324, 1), (337, 1), (361, 1), (407, 1), (410, 1), (418, 1), (448, 1), (459, 1), (488, 1), (662, 1), (709, 1), (815, 1), (913, 1), (922, 1), (1005, 1), (1170, 1), (1689, 1), (2089, 1), (2145, 1), (2514, 1), (2755, 1), (5611, 1), (6492, 1), (9177, 1), (12456, 1), (12942, 1), (16846, 1)], [(8, 1), (18, 1), (24, 1), (537, 1), (1751, 1), (6213, 1), (6404, 1), (7811, 1), (16847, 1), (16848, 1)], [(8, 1), (50, 1), (53, 2), (77, 1), (96, 1), (106, 1), (215, 1), (293, 1), (337, 1), (531, 1), (537, 1), (711, 1), (778, 1), (812, 1), (1170, 1), (1731, 1), (1995, 1), (2149, 1), (2197, 1), (3633, 1), (6112, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (50, 3), (53, 6), (58, 1), (77, 1), (90, 1), (95, 2), (109, 2), (161, 1), (353, 1), (626, 1), (632, 1), (1632, 1), (1903, 1), (2381, 1), (3914, 1), (7375, 1), (8241, 1), (11132, 1), (13807, 1), (14119, 1), (14481, 1), (16849, 1), (16850, 1), (16851, 2)], [(8, 1), (19, 1), (20, 1), (25, 2), (50, 1), (53, 1), (55, 1), (91, 1), (263, 1), (287, 1), (450, 1), (680, 1), (1693, 1), (2518, 1), (2543, 1), (2861, 1), (7212, 1), (11344, 1), (16852, 1), (16853, 1)], [(8, 1), (24, 1), (53, 1), (77, 1), (109, 1), (1698, 1), (5743, 1), (13371, 1), (16854, 1)], [(8, 1), (25, 1), (31, 1), (53, 1), (97, 1), (172, 1), (214, 1), (217, 1), (1284, 1), (1324, 1), (2140, 1), (2849, 1), (4989, 1), (5788, 1), (13014, 1), (13885, 1), (16855, 1)], [(7, 1), (8, 1), (19, 3), (20, 5), (22, 5), (24, 1), (25, 5), (31, 1), (37, 2), (50, 3), (53, 8), (65, 2), (69, 1), (77, 3), (85, 2), (109, 2), (117, 1), (185, 1), (193, 1), (197, 1), (214, 1), (215, 1), (229, 1), (232, 1), (281, 1), (334, 1), (420, 1), (450, 1), (662, 1), (709, 1), (725, 1), (741, 1), (815, 1), (897, 1), (904, 2), (1262, 1), (1398, 1), (1467, 1), (1506, 1), (1668, 1), (2064, 1), (2344, 1), (2762, 1), (2916, 1), (2985, 1), (3301, 1), (3415, 1), (3419, 1), (3540, 1), (3700, 1), (3721, 1), (3872, 1), (4500, 1), (4659, 1), (5796, 1), (5953, 1), (7934, 1), (9731, 1), (11964, 1), (11971, 1), (11981, 1), (12293, 1), (12439, 1), (15005, 1), (15041, 1), (16100, 1), (16619, 1), (16856, 1), (16857, 1), (16858, 1), (16859, 1), (16860, 1)], [(7, 1), (8, 1), (19, 3), (20, 6), (22, 3), (25, 3), (31, 1), (50, 3), (53, 5), (55, 1), (82, 1), (342, 1), (346, 1), (414, 1), (711, 1), (1223, 1), (1449, 1), (1498, 1), (1931, 1), (1958, 1), (2064, 1), (2241, 1), (2753, 1), (2889, 1), (3150, 1), (3151, 1), (3335, 1), (3540, 1), (4482, 1), (5426, 1), (5531, 1), (6348, 1), (7265, 1), (8456, 1), (9275, 1), (12651, 1), (16861, 1), (16862, 1), (16863, 1), (16864, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (50, 2), (459, 1), (537, 1), (553, 1), (744, 1), (790, 1), (884, 1), (1485, 1), (2934, 1), (4455, 1), (9047, 1), (15774, 1), (16865, 1)], [(8, 1), (19, 1), (53, 1), (82, 1), (99, 1), (387, 1), (530, 1), (3034, 1), (10676, 1), (16866, 1)], [(20, 1), (25, 1), (247, 1), (434, 1), (842, 1), (7130, 1), (13980, 1)], [(8, 1), (20, 6), (25, 1), (51, 1), (53, 2), (65, 1), (85, 1), (97, 1), (124, 1), (187, 1), (190, 1), (193, 2), (202, 1), (269, 1), (301, 1), (306, 1), (317, 1), (328, 1), (392, 1), (414, 1), (504, 1), (600, 1), (774, 1), (800, 1), (1248, 2), (1458, 1), (1481, 1), (1765, 1), (1830, 1), (2455, 1), (2812, 1), (3121, 1), (3289, 1), (3315, 1), (6267, 1), (7097, 1), (8282, 1), (15490, 1), (16567, 1)], [(7, 2), (18, 1), (19, 4), (20, 13), (22, 5), (25, 8), (31, 1), (37, 2), (50, 5), (53, 15), (55, 1), (58, 1), (64, 1), (65, 2), (71, 1), (77, 2), (92, 1), (97, 1), (108, 1), (109, 1), (172, 2), (178, 1), (185, 1), (214, 1), (228, 2), (268, 1), (337, 1), (351, 1), (361, 1), (373, 1), (414, 2), (420, 3), (450, 3), (452, 1), (462, 1), (587, 1), (662, 1), (703, 1), (709, 1), (711, 3), (815, 1), (885, 1), (904, 1), (914, 1), (1139, 1), (1178, 1), (1224, 1), (1308, 1), (1321, 1), (1322, 1), (1342, 2), (1665, 1), (1720, 1), (1731, 1), (1778, 1), (1932, 1), (2064, 1), (2547, 1), (2672, 1), (2743, 1), (3020, 1), (3034, 1), (3378, 1), (3426, 1), (4078, 1), (4482, 1), (4623, 1), (4659, 1), (5482, 1), (5498, 1), (5651, 1), (6076, 1), (6589, 1), (6668, 1), (7017, 1), (7041, 1), (7290, 1), (7329, 1), (7341, 1), (8031, 1), (8269, 1), (8442, 1), (10980, 1), (11454, 1), (11474, 2), (11653, 1), (11984, 1), (12158, 1), (13410, 1), (14481, 1), (14957, 1), (15041, 1), (15411, 1), (16867, 1), (16868, 1), (16869, 1)], [(8, 1), (19, 1), (20, 1), (25, 2), (53, 1), (92, 1), (95, 1), (287, 1), (387, 1), (497, 1), (711, 1), (1324, 1), (1458, 1), (2265, 1), (2337, 1), (2985, 1), (3400, 1)], [(247, 1), (1583, 1)], [(20, 1), (65, 1), (77, 1), (185, 1), (247, 1), (256, 1), (311, 1), (645, 1), (1580, 1), (11578, 1)], [(8, 1), (77, 1), (185, 1), (505, 1), (1742, 1)], [(7, 1), (8, 1), (19, 2), (20, 6), (21, 1), (22, 2), (25, 4), (31, 1), (50, 1), (51, 1), (53, 2), (55, 1), (56, 2), (77, 2), (92, 1), (109, 2), (117, 2), (172, 1), (174, 1), (185, 2), (186, 1), (226, 1), (232, 2), (238, 1), (256, 1), (286, 1), (287, 1), (415, 1), (419, 2), (420, 1), (448, 1), (505, 1), (525, 1), (533, 1), (587, 1), (599, 1), (752, 1), (897, 1), (1015, 1), (1041, 2), (1324, 1), (1458, 1), (1628, 1), (1887, 1), (2235, 1), (2337, 1), (2672, 1), (3121, 1), (3181, 1), (3400, 1), (3476, 1), (3670, 2), (3786, 1), (5259, 1), (5902, 1), (6213, 1), (6786, 1), (7161, 1), (7525, 1), (13459, 1), (16855, 1), (16870, 1), (16871, 1), (16872, 1), (16873, 1)], [(247, 1), (1583, 1)], [(53, 1), (247, 1), (16874, 1)], [(247, 1), (1583, 1)], [(18, 2), (19, 1), (20, 10), (21, 1), (22, 1), (23, 2), (25, 1), (31, 1), (53, 1), (55, 1), (90, 1), (215, 1), (242, 1), (245, 2), (247, 1), (288, 1), (293, 3), (418, 1), (609, 1), (791, 1), (792, 1), (1131, 1), (1157, 1), (1219, 1), (1403, 1), (1488, 1), (1540, 1), (1858, 1), (1883, 1), (1961, 1), (2178, 1), (2228, 1), (2344, 1), (2543, 1), (4179, 1), (5161, 1), (6544, 1), (6671, 1), (14795, 1), (14992, 1), (16203, 1), (16875, 1)], [(1544, 1), (16876, 1)], [(8, 1), (24, 1), (16877, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 2), (30, 1), (31, 4), (32, 1), (45, 2), (50, 1), (53, 3), (54, 2), (58, 2), (65, 1), (82, 1), (90, 1), (173, 1), (193, 2), (206, 1), (217, 2), (225, 2), (256, 1), (275, 1), (288, 2), (307, 1), (328, 1), (407, 1), (415, 1), (420, 1), (487, 1), (800, 1), (974, 1), (990, 1), (1129, 1), (1449, 1), (1483, 1), (1597, 1), (1725, 1), (1768, 1), (1931, 1), (2064, 1), (2075, 1), (2233, 1), (2455, 1), (2828, 1), (3305, 1), (4632, 1), (4787, 1), (5913, 1), (6315, 1), (8064, 1), (8336, 1), (8352, 1), (8453, 1), (8456, 1), (8517, 1), (8998, 1), (9613, 2), (13463, 1), (14504, 1)], [(8, 1), (18, 2), (20, 7), (22, 1), (25, 1), (31, 1), (45, 3), (50, 2), (53, 8), (55, 3), (82, 1), (90, 1), (173, 3), (215, 1), (281, 1), (307, 2), (328, 1), (414, 1), (420, 1), (504, 1), (516, 1), (526, 1), (897, 1), (922, 2), (1308, 1), (1458, 1), (1528, 1), (1702, 1), (1710, 1), (2168, 1), (2196, 1), (2735, 1), (3013, 1), (3981, 1), (4165, 1), (4581, 1), (4791, 3), (4833, 1), (5065, 1), (5269, 1), (5525, 1), (5682, 2), (6737, 2), (6794, 1), (7057, 2), (7631, 1), (8453, 1), (8517, 1), (9755, 1), (11519, 1), (12742, 1), (14401, 1), (16878, 1), (16879, 1)], [(7, 1), (8, 1), (19, 3), (20, 3), (25, 1), (31, 2), (32, 1), (53, 3), (58, 1), (71, 1), (91, 1), (108, 2), (173, 1), (188, 1), (215, 1), (269, 1), (301, 1), (414, 1), (448, 1), (601, 1), (697, 1), (763, 1), (903, 1), (1102, 1), (1342, 1), (1377, 1), (1574, 1), (2847, 1), (2926, 1), (2972, 1), (3363, 1), (4294, 1), (4778, 1), (6667, 1), (7276, 1), (9423, 1), (10765, 1), (12142, 1), (13235, 1), (16880, 1), (16881, 1)], [(7, 1), (8, 1), (19, 2), (20, 5), (25, 1), (31, 2), (37, 2), (53, 3), (56, 1), (186, 1), (214, 1), (215, 1), (256, 1), (259, 1), (331, 1), (410, 1), (448, 2), (487, 2), (526, 1), (531, 1), (711, 1), (884, 1), (1122, 1), (1392, 1), (1685, 1), (2016, 1), (3166, 1), (3832, 1), (4695, 1), (5409, 1), (5653, 1), (6667, 1), (9497, 1), (11719, 1), (16882, 1), (16883, 1), (16884, 1), (16885, 1), (16886, 1)], [(8, 1), (18, 1), (20, 6), (25, 1), (29, 1), (50, 4), (53, 2), (54, 1), (65, 1), (85, 1), (185, 1), (228, 1), (346, 1), (706, 1), (777, 1), (1738, 1), (1741, 1), (3289, 1), (4086, 1), (4165, 1), (4203, 1), (4652, 1), (5653, 1), (6421, 1), (8146, 1), (10814, 1), (10974, 1), (16880, 1), (16887, 1), (16888, 1), (16889, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (32, 1), (37, 1), (50, 2), (53, 2), (58, 1), (161, 1), (331, 1), (1041, 1), (1102, 1), (1383, 1), (1702, 1), (1710, 1), (1824, 1), (2734, 1), (5017, 1), (7934, 1), (8376, 1), (10001, 1), (10339, 1), (12010, 1), (16890, 1), (16891, 1), (16892, 1), (16893, 1), (16894, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (25, 2), (53, 3), (55, 1), (58, 1), (92, 1), (97, 1), (161, 1), (197, 2), (417, 1), (601, 1), (725, 1), (894, 1), (911, 1), (1102, 1), (1139, 1), (1354, 1), (1506, 1), (1656, 1), (1910, 1), (2019, 1), (2283, 1), (2336, 1), (2344, 1), (2361, 1), (2474, 1), (2724, 1), (3043, 1), (3047, 1), (7105, 1), (16566, 2), (16880, 1), (16895, 1), (16896, 1), (16897, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 3), (31, 1), (37, 1), (53, 2), (54, 1), (58, 2), (65, 1), (95, 1), (117, 1), (201, 1), (215, 1), (232, 1), (269, 2), (286, 1), (450, 1), (753, 1), (778, 1), (1395, 1), (1960, 1), (1977, 1), (2862, 1), (2934, 1), (3831, 1), (4228, 1), (15430, 1), (16898, 1), (16899, 1), (16900, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (25, 1), (31, 1), (40, 1), (53, 1), (54, 1), (58, 3), (71, 1), (173, 1), (193, 1), (246, 1), (285, 1), (490, 1), (711, 1), (777, 1), (1224, 1), (1243, 1), (2337, 1), (2343, 1), (2344, 1), (2920, 1), (3476, 1), (4292, 1), (13173, 1)], [(8, 1), (25, 1), (50, 2), (53, 1), (65, 1), (214, 1), (215, 1), (346, 1), (507, 1), (834, 1), (2291, 1), (3342, 1), (3426, 1), (3950, 1), (4130, 1), (4765, 1), (7839, 1), (8146, 1), (16901, 1)], [(7, 1), (8, 1), (19, 1), (20, 7), (22, 3), (25, 4), (31, 1), (50, 1), (53, 1), (65, 2), (69, 1), (90, 1), (92, 1), (117, 1), (214, 1), (232, 1), (293, 2), (325, 1), (531, 1), (675, 1), (834, 1), (1084, 1), (2564, 1), (2751, 1), (2828, 1), (3426, 1), (3435, 1), (3479, 1), (4165, 1), (5170, 1), (5397, 1), (7760, 1), (7943, 1), (7990, 1), (9412, 1), (11089, 1), (12142, 1), (16902, 1), (16903, 1), (16904, 1), (16905, 1), (16906, 1), (16907, 1), (16908, 1), (16909, 1), (16910, 1), (16911, 1), (16912, 1)], [(8, 1), (18, 1), (50, 2), (53, 2), (54, 1), (90, 1), (122, 1), (206, 1), (293, 1), (407, 1), (487, 1), (3403, 1), (6129, 1), (8975, 1), (12920, 1), (16880, 1)], [(8, 1), (20, 1), (53, 1), (58, 1), (392, 1), (1037, 1), (1041, 1), (1122, 1), (1549, 1), (12480, 1), (12941, 1), (16913, 1), (16914, 1), (16915, 1), (16916, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 3), (31, 2), (50, 1), (53, 5), (56, 1), (58, 2), (90, 1), (109, 1), (110, 1), (185, 1), (186, 1), (217, 1), (241, 1), (268, 1), (334, 1), (337, 1), (347, 1), (426, 1), (445, 1), (1071, 1), (1219, 1), (1779, 1), (2290, 1), (2544, 1), (3952, 1), (4138, 1), (4473, 1), (4833, 1), (8409, 1), (12493, 1), (16917, 1), (16918, 1)], [(7, 1), (8, 1), (18, 4), (20, 2), (22, 4), (25, 1), (37, 2), (50, 2), (53, 6), (54, 1), (55, 1), (99, 1), (109, 1), (117, 1), (193, 1), (269, 1), (414, 2), (450, 1), (726, 1), (777, 1), (834, 1), (1248, 1), (1287, 1), (1529, 1), (2265, 1), (2373, 1), (2699, 1), (3426, 1), (3478, 1), (3533, 1), (3696, 1), (3812, 1), (3952, 1), (4542, 1), (4826, 1), (5569, 1), (9221, 1), (12480, 1), (16919, 1), (16920, 1), (16921, 1), (16922, 1), (16923, 1), (16924, 1), (16925, 1), (16926, 1), (16927, 1), (16928, 1)], [(7, 1), (8, 1), (20, 3), (32, 1), (54, 1), (82, 1), (83, 1), (185, 1), (1624, 1), (3018, 1), (4833, 1), (6315, 1), (11474, 1), (13291, 1)], [(8, 1), (20, 1), (22, 1), (25, 3), (31, 1), (37, 1), (40, 1), (64, 1), (65, 1), (117, 1), (215, 2), (226, 1), (232, 1), (351, 1), (415, 1), (487, 1), (1130, 1), (1170, 1), (1248, 1), (1901, 1), (1932, 1), (4143, 1), (5141, 1), (8348, 1), (10699, 1), (10844, 1), (15084, 1), (16929, 1), (16930, 1)], [(8, 1), (18, 1), (19, 1), (20, 10), (22, 4), (24, 1), (25, 3), (31, 1), (37, 1), (45, 1), (50, 1), (53, 5), (77, 4), (90, 3), (97, 1), (117, 1), (185, 1), (197, 1), (214, 1), (229, 1), (232, 1), (256, 2), (278, 1), (516, 1), (626, 1), (645, 1), (990, 1), (1005, 1), (1092, 1), (1122, 1), (1129, 1), (1882, 1), (1939, 1), (2482, 1), (4165, 1), (5878, 1), (6315, 4), (7913, 1), (9221, 1), (10632, 1), (16931, 1), (16932, 1), (16933, 1), (16934, 1), (16935, 1), (16936, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (53, 1), (56, 1), (58, 1), (91, 1), (108, 1), (290, 1), (323, 1), (834, 1), (1072, 1), (1392, 1), (3121, 1), (4987, 1), (7699, 1), (16937, 1), (16938, 2)], [(18, 1), (22, 1), (32, 1), (34, 1), (185, 1), (247, 1), (256, 1), (633, 1), (2977, 1), (3426, 1), (4398, 1), (8056, 1), (16939, 1)], [(20, 2), (50, 1), (53, 2), (173, 1), (247, 1), (2306, 1), (4390, 1), (4843, 1), (12498, 1), (16940, 1)], [(18, 1), (25, 1), (50, 1), (85, 1), (173, 1), (193, 1), (247, 1), (256, 1), (307, 1), (422, 1), (462, 1), (3752, 1), (12605, 1), (16940, 1), (16941, 1)], [(19, 1), (247, 1), (1590, 2), (4549, 1)], [(8, 1), (20, 1), (58, 1), (71, 1), (241, 1), (897, 1)], [(20, 1), (25, 1), (31, 3), (77, 1), (90, 1), (117, 1), (247, 1), (290, 1), (645, 1), (743, 1), (759, 1), (3476, 1), (4896, 1), (5035, 1), (5161, 1), (11521, 1), (14056, 1)], [(20, 1), (58, 1), (71, 1), (241, 1), (247, 1), (897, 1)], [(8, 1), (19, 1), (108, 1), (117, 1), (232, 1), (325, 1), (414, 1), (608, 1), (3924, 1), (4910, 1), (6268, 1)], [(20, 1), (58, 1), (66, 1), (71, 1), (241, 1), (897, 1)], [(8, 1), (19, 1), (20, 2), (53, 2), (64, 1), (117, 1), (167, 1), (172, 2), (203, 1), (232, 1), (256, 1), (305, 1), (328, 1), (450, 1), (581, 1), (605, 1), (1163, 1), (1165, 1), (1377, 1), (1656, 1), (1693, 1), (1694, 1), (2884, 1), (4165, 1), (4372, 1), (5312, 1), (7286, 1), (7414, 1), (9979, 1), (11196, 1), (16942, 1)], [(8, 1), (19, 1), (24, 1), (51, 1), (64, 1), (117, 1), (232, 1), (645, 1), (675, 1), (3741, 1), (4297, 1), (9397, 1), (16943, 1)], [(8, 1), (23, 1), (53, 1), (172, 1), (812, 1), (3478, 1), (4833, 1), (16944, 1)], [(8, 1), (22, 1), (36, 1), (378, 1), (498, 1), (506, 1), (4297, 1), (6364, 1)], [(8, 1), (20, 3), (31, 1), (53, 1), (65, 1), (69, 1), (90, 1), (126, 1), (448, 1), (678, 1), (1001, 1), (1248, 1), (1470, 1), (1791, 1), (2036, 1), (2051, 1), (2276, 1), (2657, 1), (7909, 1), (8348, 1), (10984, 1), (16945, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 2), (31, 1), (37, 1), (50, 2), (53, 1), (84, 1), (185, 1), (241, 1), (332, 1), (434, 1), (777, 1), (1122, 1), (1702, 1), (2286, 1), (2478, 1), (3426, 1), (3701, 1), (16946, 1), (16947, 1), (16948, 1), (16949, 1), (16950, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (53, 2), (84, 2), (91, 1), (256, 1), (261, 1), (310, 1), (419, 2), (504, 1), (697, 1), (869, 1), (1159, 1), (1219, 1), (1350, 1), (2276, 1), (3426, 1), (4599, 1), (4791, 1), (4968, 1), (5416, 1), (7323, 1), (8282, 1), (12526, 1), (14117, 1), (16950, 1)], [(20, 5), (22, 1), (25, 1), (30, 2), (31, 1), (53, 1), (77, 1), (108, 1), (109, 1), (193, 1), (247, 1), (268, 1), (285, 1), (334, 1), (419, 2), (448, 1), (504, 1), (1742, 1), (1823, 1), (2646, 1), (2883, 1), (3426, 1), (4083, 1), (4142, 1), (4167, 1), (5134, 1), (11265, 1), (16951, 1)], [(8, 1), (19, 1), (20, 3), (60, 1), (106, 1), (256, 1), (506, 1), (1702, 1), (1854, 1), (2625, 1), (4833, 1), (11679, 1), (16952, 1)], [(20, 1), (23, 1), (58, 1), (66, 1), (190, 1), (506, 1), (3101, 1), (5114, 1), (5158, 1), (6600, 1), (16953, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (23, 1), (25, 2), (32, 1), (51, 1), (53, 3), (55, 1), (58, 1), (64, 2), (65, 1), (71, 1), (97, 1), (109, 1), (117, 2), (173, 1), (174, 1), (217, 1), (232, 2), (273, 1), (328, 1), (351, 1), (378, 1), (388, 1), (601, 1), (662, 1), (743, 1), (815, 1), (922, 1), (1163, 1), (1400, 1), (2402, 1), (2479, 1), (3289, 1), (5092, 1), (7286, 1), (7295, 1), (8530, 1), (10269, 1), (16954, 1)], [(8, 1), (18, 1), (20, 2), (23, 2), (31, 1), (32, 1), (37, 1), (50, 1), (58, 3), (82, 1), (97, 1), (109, 1), (111, 1), (117, 2), (172, 1), (174, 1), (193, 2), (232, 1), (331, 1), (414, 1), (452, 1), (792, 1), (1075, 1), (1170, 1), (1679, 1), (1695, 1), (2270, 1), (3141, 1), (3879, 1), (4165, 1), (16955, 1), (16956, 1), (16957, 1)], [(247, 1), (10523, 1)], [(8, 1), (20, 2), (23, 1), (31, 1), (52, 1), (178, 1), (185, 1), (215, 1), (1580, 1), (4698, 1), (5344, 1), (8967, 1)], [(8, 1), (20, 7), (22, 2), (23, 1), (25, 4), (31, 1), (32, 1), (50, 6), (51, 1), (55, 1), (172, 1), (182, 1), (307, 1), (324, 5), (957, 1), (1350, 1), (1580, 1), (2075, 1), (2564, 1), (4165, 1), (6581, 6), (7649, 1), (7650, 1), (7651, 1), (12483, 1), (16958, 1), (16959, 3), (16960, 1), (16961, 1)], [(31, 1), (50, 1), (53, 1), (71, 1), (77, 1), (90, 1), (185, 1), (293, 1), (328, 1), (596, 1), (743, 1), (897, 1), (1714, 1), (2553, 1), (11578, 1), (16011, 1), (16880, 1)], [(247, 1), (639, 1), (16962, 1)], [(8, 1), (58, 1), (498, 1), (506, 1), (776, 1), (4297, 1)], [(247, 1), (8581, 1)], [(25, 1), (117, 1), (226, 1), (232, 1), (247, 1), (2625, 1), (3812, 1), (6661, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (32, 1), (45, 1), (51, 1), (53, 1), (77, 1), (96, 2), (658, 1), (1580, 1), (4799, 2), (6364, 1), (9797, 1), (16928, 1), (16963, 1), (16964, 1), (16965, 1)], [(8, 1), (18, 1), (20, 1), (23, 3), (25, 1), (50, 1), (52, 1), (53, 2), (55, 2), (71, 1), (75, 1), (85, 1), (117, 3), (172, 1), (193, 1), (206, 1), (215, 1), (226, 1), (232, 1), (431, 1), (581, 1), (815, 1), (1580, 1), (1615, 1), (1875, 1), (2030, 1), (2854, 2), (3024, 1), (5199, 1), (6138, 1), (16500, 1), (16964, 1), (16966, 1), (16967, 1), (16968, 1)], [(8, 1), (53, 1), (117, 1), (164, 1), (232, 1), (325, 1)], [(8, 1), (32, 1), (34, 1), (117, 1), (232, 1), (496, 1)], [(8, 1), (20, 1), (22, 1), (25, 2), (53, 1), (117, 2), (173, 1), (232, 1), (399, 1), (2029, 1), (2906, 1), (3426, 1), (6661, 1), (16969, 1)], [(20, 4), (21, 2), (22, 2), (25, 1), (37, 1), (53, 2), (111, 2), (214, 1), (226, 2), (247, 1), (287, 1), (711, 2), (2418, 1), (3760, 1), (10264, 2), (14839, 1), (16193, 1), (16941, 1), (16970, 1), (16971, 1), (16972, 1)], [(8, 1), (20, 1), (53, 1), (111, 1), (117, 1), (226, 1), (232, 1), (1377, 1), (16973, 1), (16974, 1)], [(8, 1), (22, 1), (53, 1), (117, 1), (173, 1), (399, 1), (2013, 1), (2906, 1), (3426, 1), (9911, 1)], [(8, 1), (18, 1), (20, 1), (31, 1), (37, 1), (50, 1), (53, 2), (65, 1), (117, 1), (173, 1), (226, 1), (232, 1), (414, 1), (418, 1), (714, 1), (1731, 1), (2036, 1), (2397, 1), (3974, 1), (4833, 1), (4939, 1), (5491, 1), (6067, 1), (7682, 1)], [(247, 1), (5060, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (77, 1), (99, 2), (203, 1), (324, 1), (328, 1), (694, 1), (2666, 1), (3034, 1), (3537, 1), (6044, 1)], [(8, 1), (19, 2), (20, 1), (25, 1), (31, 1), (53, 2), (117, 1), (256, 1), (419, 1), (434, 1), (691, 1), (702, 1), (1685, 1), (2436, 1), (2705, 1), (2854, 1), (3132, 1), (7536, 1), (7815, 1), (11162, 1)], [(8, 1), (20, 3), (25, 2), (53, 1), (117, 3), (215, 1), (232, 3), (287, 1), (293, 1), (658, 1), (1348, 1), (1580, 1), (3121, 1), (6138, 1), (6347, 1), (9797, 1), (16500, 1), (16966, 1), (16967, 1), (16975, 1)], [(20, 1), (25, 1), (1714, 1), (6289, 1), (6661, 1), (16969, 1)], [(20, 1), (25, 1), (31, 2), (77, 1), (247, 1), (328, 1), (504, 1), (527, 1), (2553, 1), (3812, 1), (4366, 1), (6661, 1), (16976, 1)], [(18, 2), (21, 1), (22, 2), (117, 1), (232, 1), (247, 1), (351, 1), (1430, 1), (3086, 1), (3289, 1), (11153, 1), (16977, 1), (16978, 1)], [(20, 1), (23, 1), (58, 1), (172, 1), (247, 1), (639, 1), (1870, 1)], [(8, 1), (20, 3), (22, 1), (23, 1), (25, 1), (31, 1), (32, 1), (50, 2), (53, 2), (58, 1), (77, 1), (85, 1), (99, 1), (117, 1), (164, 1), (226, 1), (269, 1), (324, 1), (505, 1), (645, 1), (708, 1), (1122, 1), (1670, 1), (1720, 1), (2854, 1), (4297, 1), (4627, 1), (16877, 1), (16928, 1)], [(20, 1), (247, 1), (3280, 1), (16979, 1)], [(19, 1), (20, 7), (21, 3), (22, 3), (25, 1), (53, 4), (77, 1), (90, 1), (111, 3), (117, 1), (173, 2), (232, 1), (247, 1), (328, 1), (387, 1), (392, 1), (419, 1), (420, 1), (434, 2), (553, 1), (763, 1), (815, 1), (897, 2), (1892, 1), (3790, 1), (3886, 1), (4814, 2), (5100, 1), (14839, 1), (15020, 1), (16193, 1), (16941, 1), (16972, 1), (16973, 1), (16974, 1), (16980, 1), (16981, 1), (16982, 1)], [(18, 2), (20, 7), (21, 1), (22, 2), (25, 4), (31, 1), (45, 1), (53, 3), (55, 1), (109, 1), (173, 1), (226, 1), (247, 1), (340, 1), (419, 1), (434, 1), (626, 1), (939, 1), (1045, 1), (1520, 1), (1764, 1), (1815, 1), (3036, 1), (4814, 1), (4894, 1), (5081, 1), (5148, 1), (9620, 1), (10526, 1), (11275, 1), (16983, 1), (16984, 1), (16985, 1), (16986, 1), (16987, 1), (16988, 1), (16989, 1), (16990, 1)], [(19, 1), (20, 3), (21, 1), (22, 2), (25, 3), (53, 1), (71, 1), (84, 1), (90, 2), (108, 1), (111, 1), (117, 1), (214, 1), (232, 1), (247, 1), (342, 1), (345, 1), (410, 1), (419, 2), (420, 1), (452, 1), (763, 1), (894, 1), (1161, 1), (1529, 1), (1836, 1), (2004, 1), (3036, 1), (4390, 1), (8003, 1), (10852, 1), (14579, 1), (16919, 1), (16991, 1), (16992, 1), (16993, 1)], [(8, 1), (20, 6), (22, 2), (31, 1), (37, 1), (53, 5), (77, 1), (111, 2), (214, 1), (215, 1), (288, 1), (419, 2), (420, 1), (434, 1), (573, 1), (702, 1), (1122, 1), (1377, 1), (1626, 1), (1856, 1), (1963, 1), (10542, 1), (12386, 1), (16994, 1), (16995, 1), (16996, 1), (16997, 1), (16998, 1), (16999, 1), (17000, 1)], [(20, 1), (53, 1), (85, 1), (209, 1), (247, 1), (419, 1), (800, 1), (3782, 1), (5150, 1), (17001, 1)], [(8, 1), (19, 1), (20, 8), (22, 3), (25, 3), (45, 1), (53, 4), (55, 1), (65, 2), (85, 1), (111, 3), (117, 1), (173, 1), (186, 1), (214, 1), (226, 1), (232, 1), (263, 1), (419, 2), (420, 1), (434, 1), (754, 1), (1063, 1), (1799, 1), (1828, 1), (2469, 1), (2793, 1), (2985, 1), (3036, 1), (6116, 1), (8076, 1), (12094, 1), (12162, 1), (12170, 1), (17002, 1), (17003, 1), (17004, 1), (17005, 1), (17006, 1), (17007, 1), (17008, 1)], [(8, 1), (18, 1), (20, 3), (25, 3), (31, 1), (32, 1), (37, 1), (50, 1), (53, 1), (58, 2), (85, 1), (92, 1), (117, 1), (197, 1), (232, 1), (351, 1), (378, 1), (1001, 1), (1012, 1), (1140, 1), (1824, 1), (3036, 1), (3426, 1), (3760, 1), (6337, 1), (6947, 1), (17009, 1)], [(8, 1), (20, 4), (22, 1), (25, 2), (92, 1), (173, 1), (226, 1), (293, 1), (306, 1), (328, 1), (586, 1), (1747, 1), (2132, 1), (5512, 1), (7295, 1), (9911, 1), (17010, 1), (17011, 1)], [(20, 1), (53, 1), (98, 1), (108, 1), (117, 1), (232, 1), (247, 1), (1583, 1), (2132, 1), (4390, 1)], [(20, 1), (247, 1), (9000, 1), (16877, 1)], [(8, 1), (19, 1), (20, 2), (22, 2), (25, 1), (32, 1), (53, 1), (65, 2), (96, 1), (117, 2), (172, 1), (173, 1), (226, 1), (232, 1), (273, 1), (301, 1), (498, 1), (662, 1), (809, 1), (815, 1), (884, 1), (1122, 1), (1582, 1), (2234, 1), (2854, 1), (3036, 1), (8075, 1), (14235, 1)], [(8, 1), (22, 2), (55, 1), (58, 1), (85, 1), (117, 2), (173, 2), (232, 1), (307, 1), (351, 1), (1901, 1), (2367, 1), (2854, 1)], [(20, 1), (22, 1), (66, 1), (117, 1), (173, 1), (232, 1), (241, 1), (293, 1), (3363, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (23, 1), (25, 1), (30, 1), (34, 1), (50, 1), (64, 1), (95, 1), (185, 1), (226, 1), (256, 1), (353, 1), (387, 2), (526, 1), (527, 1), (1122, 2), (3201, 1), (3597, 1), (4165, 1), (9918, 1)], [(20, 1), (37, 1), (96, 1), (117, 1), (185, 1), (217, 1), (232, 1), (241, 1), (410, 1), (1714, 1), (3824, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (53, 1), (77, 1), (90, 2), (94, 1), (117, 2), (122, 1), (193, 1), (232, 2), (418, 1), (463, 1), (828, 1), (1400, 1), (3703, 1), (3832, 1), (5323, 1), (7430, 1), (17012, 1), (17013, 1)], [(19, 1), (20, 2), (22, 1), (23, 2), (25, 2), (50, 1), (66, 1), (85, 1), (91, 1), (117, 3), (226, 2), (232, 1), (256, 1), (293, 1), (306, 1), (378, 1), (463, 1), (516, 2), (724, 1), (759, 1), (828, 1), (1400, 1), (1801, 1), (2906, 1), (3291, 1), (7295, 1), (7411, 1), (10311, 1), (16343, 1), (17013, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (22, 2), (23, 1), (32, 1), (50, 1), (58, 6), (64, 1), (71, 2), (90, 1), (111, 1), (225, 2), (504, 2), (813, 1), (897, 1), (1170, 2), (1824, 1), (2055, 2), (3633, 1), (4179, 2), (6671, 3), (12971, 1), (17014, 1)], [(8, 1), (19, 1), (20, 4), (21, 1), (22, 1), (51, 2), (53, 2), (65, 1), (77, 1), (84, 1), (90, 1), (172, 1), (173, 2), (203, 1), (217, 1), (226, 1), (301, 1), (307, 1), (365, 1), (2354, 1), (2829, 1), (3036, 1), (8012, 1), (8297, 1), (9527, 1)], [(18, 1), (20, 2), (22, 4), (25, 2), (32, 1), (36, 1), (50, 1), (53, 3), (65, 1), (90, 2), (96, 1), (117, 2), (173, 1), (186, 1), (232, 2), (307, 1), (317, 1), (328, 1), (378, 1), (414, 2), (415, 1), (446, 1), (626, 1), (632, 2), (1122, 1), (1458, 1), (1710, 1), (1714, 1), (1747, 1), (1898, 1), (2149, 1), (14772, 1), (16880, 1), (17015, 1), (17016, 1)], [(247, 1), (8598, 1)], [(8, 1), (21, 1), (51, 1), (65, 2), (85, 1), (117, 1), (173, 1), (232, 1), (516, 1), (531, 1), (824, 1), (2446, 1), (6179, 1), (8579, 1), (14529, 1)], [(20, 1), (25, 1), (1178, 1), (2514, 1), (5077, 1), (17017, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (31, 2), (50, 1), (53, 2), (58, 1), (64, 1), (71, 2), (203, 1), (206, 1), (269, 1), (361, 1), (420, 1), (448, 1), (756, 1), (869, 1), (2774, 1), (3024, 1), (3426, 1), (3812, 1), (10515, 1), (11413, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (31, 1), (51, 1), (53, 1), (117, 1), (418, 1), (450, 1), (459, 1), (506, 1), (609, 1), (711, 1), (1157, 1), (3034, 1), (3069, 1), (3812, 1), (5673, 1), (7180, 1), (11396, 1), (14992, 1), (17018, 1), (17019, 1)], [(20, 1), (31, 1), (53, 1), (71, 1), (96, 1), (190, 1), (346, 1), (897, 1), (1714, 1), (2306, 1), (3426, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (53, 1), (58, 1), (65, 1), (77, 1), (108, 1), (328, 1), (446, 1), (970, 1), (2306, 1), (2686, 1), (4165, 1), (14772, 1)], [(53, 1), (65, 1), (96, 1), (117, 1), (232, 1), (331, 1), (446, 1), (1714, 1), (2306, 1), (14772, 1)], [(8, 1), (21, 1), (24, 1), (25, 1), (53, 2), (65, 1), (77, 1), (446, 1), (1045, 1), (2306, 1), (8143, 2), (10591, 1), (14772, 1)], [(20, 1), (51, 1), (247, 1), (709, 1), (6079, 1)], [(19, 1), (50, 1), (51, 1), (66, 1), (245, 1), (342, 1), (706, 1), (1247, 1), (1580, 1)], [(8, 1), (22, 1), (32, 1), (64, 1), (117, 1), (232, 1), (256, 1), (269, 1), (351, 1), (1702, 1), (2265, 1), (2411, 1), (14464, 1)], [(8, 1), (20, 1), (31, 1), (34, 1), (50, 2), (56, 1), (99, 1), (269, 1), (600, 1), (795, 1), (2849, 1), (6913, 1)], [(247, 1), (1458, 1), (17020, 1)], [(8, 1), (21, 2), (37, 1), (50, 1), (53, 2), (226, 1), (516, 1), (1377, 1), (3036, 1), (3423, 1), (3614, 1), (3812, 1), (3942, 1), (11458, 1)], [(53, 1), (596, 1), (1714, 1), (2490, 1), (17021, 1)], [(8, 1), (20, 4), (22, 2), (23, 2), (31, 4), (45, 1), (51, 1), (53, 6), (77, 1), (111, 2), (117, 2), (173, 1), (193, 1), (209, 1), (215, 1), (232, 2), (445, 1), (626, 1), (790, 1), (1695, 1), (2009, 1), (2281, 1), (2442, 1), (2539, 1), (3426, 1), (3476, 1), (4189, 1), (4856, 1), (7360, 1), (8626, 1), (12321, 2), (14138, 1), (17022, 1)], [(7, 1), (8, 1), (20, 2), (21, 1), (23, 1), (31, 1), (45, 1), (50, 1), (53, 2), (58, 1), (111, 1), (117, 2), (173, 1), (232, 2), (328, 1), (331, 1), (894, 1), (1502, 1), (1870, 1), (1901, 1), (3182, 1), (12321, 1), (16994, 1), (16995, 1)], [(8, 1), (19, 1), (22, 1), (50, 1), (51, 1), (53, 1), (58, 1), (96, 1), (108, 1), (117, 2), (173, 2), (232, 1), (392, 1), (447, 1), (448, 1), (531, 1), (708, 1), (759, 1), (885, 1), (1165, 1), (1907, 1), (2881, 1), (3034, 1), (3539, 1), (3837, 1), (16880, 1)], [(20, 1), (247, 1), (301, 1), (1458, 1), (3782, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (45, 1), (50, 2), (53, 1), (65, 1), (85, 1), (90, 1), (167, 1), (215, 2), (226, 1), (623, 1), (1668, 1), (3036, 1), (4826, 2), (6786, 1), (8558, 1), (11695, 1), (11971, 1), (11980, 1), (14641, 1)], [(20, 1), (45, 1), (50, 1), (55, 1), (90, 1), (173, 1), (273, 1), (596, 1), (1170, 1), (1714, 1), (1747, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (21, 1), (22, 1), (25, 1), (53, 2), (58, 1), (77, 1), (281, 1), (328, 1), (414, 1), (999, 1), (1308, 1), (1377, 1), (2058, 1), (2306, 2), (2844, 1), (3426, 1), (4062, 1), (4232, 1), (4282, 1), (4833, 1)], [(247, 1), (12620, 1)], [(8, 1), (25, 1), (124, 2)], [(21, 1), (106, 1), (178, 1), (247, 1), (697, 1), (1858, 1), (3036, 1), (8198, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (111, 1), (117, 1), (173, 2), (232, 1), (285, 1), (347, 1), (506, 1), (1350, 1), (4349, 1), (11241, 1)], [(8, 1), (19, 1), (20, 2), (21, 2), (25, 1), (32, 1), (36, 1), (37, 1), (50, 1), (55, 1), (90, 1), (173, 1), (206, 1), (217, 1), (225, 1), (278, 1), (1149, 1), (1170, 1), (2977, 1), (3036, 1), (3424, 1), (3827, 1), (4297, 1), (4357, 1), (9318, 1), (17023, 1)], [(8, 1), (25, 1), (30, 1), (809, 1), (1324, 1), (1458, 1), (7363, 1)], [(1178, 1), (8598, 1)], [(20, 4), (22, 1), (23, 1), (64, 1), (66, 1), (99, 1), (173, 1), (295, 1), (419, 1), (711, 1), (1170, 5), (3942, 1)], [(13, 1), (20, 1), (64, 1), (117, 2), (173, 1), (217, 1), (232, 2), (247, 1), (1580, 1), (1628, 1), (2816, 1), (6519, 1), (17024, 1)], [(20, 1), (45, 1), (178, 1), (247, 1), (1180, 1), (1594, 1), (17025, 1)], [(21, 1), (32, 1), (90, 1), (96, 1), (117, 1), (173, 1), (232, 1), (301, 1), (1178, 1), (2490, 1), (16978, 1)], [(20, 4), (22, 1), (23, 1), (64, 1), (66, 1), (99, 1), (173, 1), (295, 1), (419, 1), (711, 1), (1170, 5), (3942, 1)], [(7, 1), (20, 1), (21, 1), (29, 1), (58, 1), (64, 1), (117, 1), (173, 1), (232, 1), (247, 1), (1845, 1), (3061, 1), (16978, 1)], [(66, 1), (1458, 1)], [(20, 4), (22, 1), (23, 1), (64, 1), (66, 1), (99, 1), (173, 1), (295, 1), (419, 1), (711, 1), (1170, 5), (3942, 1)], [(20, 1), (64, 1), (66, 1), (90, 1), (117, 1), (232, 1), (2013, 1), (2904, 1)], [(8, 1), (18, 2), (20, 6), (22, 2), (23, 3), (25, 4), (37, 1), (50, 1), (64, 1), (99, 1), (117, 2), (173, 1), (185, 1), (214, 1), (226, 1), (295, 1), (331, 1), (419, 1), (420, 1), (711, 1), (800, 1), (1559, 1), (1613, 1), (1817, 1), (3073, 1), (3540, 1), (6351, 1), (17026, 1)], [(247, 1), (17027, 1)], [(247, 1), (17028, 1)], [(247, 1), (17028, 1)], [(247, 1), (17028, 1)], [(247, 1), (17028, 1)], [(247, 1), (17028, 1)], [(18, 1), (23, 1), (117, 1), (759, 1), (1714, 1), (6351, 1), (7214, 1)], [(53, 1), (65, 1), (117, 1), (232, 1), (331, 1), (1139, 1), (1714, 1), (6351, 1), (14347, 1)], [(18, 1), (20, 1), (22, 1), (25, 1), (50, 2), (51, 2), (53, 1), (66, 1), (124, 1), (173, 1), (351, 1), (418, 2), (428, 2), (442, 1), (531, 1), (1171, 1), (2774, 1), (3351, 1), (3360, 1), (3361, 1), (3837, 1), (17029, 1)], [(8, 1), (23, 1), (64, 1), (166, 1), (173, 1), (178, 1), (287, 1), (504, 1), (506, 1), (1000, 1), (1149, 1), (1683, 1), (3786, 2), (4465, 1), (4757, 1), (11339, 1), (17030, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (108, 1), (117, 2), (232, 1), (697, 1), (1502, 1), (2854, 1), (3101, 1), (4296, 1), (6652, 1), (8198, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (53, 1), (65, 1), (108, 2), (117, 1), (172, 1), (173, 1), (232, 1), (256, 1), (278, 1), (581, 1), (711, 1), (800, 1), (1580, 1), (1859, 1), (2655, 1), (2656, 1), (10221, 1), (16153, 1), (17031, 1)], [(20, 2), (23, 1), (30, 1), (66, 1), (241, 1), (293, 1), (3810, 1), (8579, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (37, 1), (53, 1), (58, 1), (64, 1), (117, 2), (185, 1), (214, 1), (226, 1), (232, 2), (325, 1), (414, 1), (709, 1), (711, 1), (999, 1), (16880, 1), (17032, 1), (17033, 1)], [(20, 2), (25, 1), (53, 1), (96, 1), (117, 1), (232, 1), (301, 1), (324, 1), (1714, 1), (10265, 1), (17032, 1), (17033, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (53, 1), (58, 2), (77, 1), (90, 2), (108, 1), (117, 2), (226, 1), (232, 2), (265, 1), (278, 1), (317, 1), (420, 1), (487, 1), (504, 1), (1458, 1), (1710, 1), (2157, 1), (2306, 1), (5501, 1), (6150, 1), (9542, 1), (12422, 1)], [(20, 1), (247, 1), (2379, 1), (2384, 1)], [(51, 1), (247, 1), (6315, 1)], [(22, 1), (53, 1), (117, 1), (173, 1), (247, 1), (295, 1), (756, 1), (2854, 1), (6371, 1), (10515, 1)], [(8, 1), (18, 1), (77, 1), (106, 1), (1559, 1), (1817, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (31, 2), (51, 2), (58, 1), (117, 1), (232, 1), (310, 1), (448, 1), (703, 1), (776, 1), (777, 1), (894, 1), (1193, 1), (1559, 1), (1817, 1), (1855, 1), (4164, 1), (5452, 1), (5491, 2), (5839, 1), (16506, 1), (17034, 1), (17035, 1)], [(58, 1), (328, 1), (792, 1), (1347, 1), (1615, 1), (1714, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 2), (51, 1), (53, 2), (55, 1), (58, 1), (74, 1), (108, 1), (117, 1), (169, 1), (185, 1), (186, 1), (273, 1), (293, 1), (317, 1), (331, 1), (420, 1), (702, 1), (711, 2), (2854, 1), (2947, 1), (3702, 1), (4403, 1), (8275, 1), (9240, 1), (13647, 1), (16880, 1)], [(20, 1), (53, 1), (247, 1), (1583, 1), (4165, 1)], [(20, 2), (53, 1), (247, 1), (4165, 1), (7760, 2)], [(53, 1), (117, 1), (247, 1), (295, 1), (1131, 1), (1627, 1), (2854, 1), (16576, 1), (17036, 1)], [(247, 1), (17037, 1)], [(247, 1), (17038, 1)], [(8, 1), (53, 1), (117, 1), (332, 1), (378, 1), (5552, 1), (6660, 1), (17039, 1)], [(247, 1), (1906, 1)], [(20, 1), (247, 1), (1938, 1), (3961, 1)], [(25, 1), (247, 1), (434, 1), (1938, 1)], [(247, 1), (17040, 1)], [(20, 6), (247, 1), (17040, 2), (17041, 5)], [(25, 1), (65, 1), (324, 1), (1178, 1), (1615, 1), (3181, 1), (13663, 1), (16660, 1)], [(1544, 1), (17042, 1)], [(8, 1), (25, 1), (17043, 1), (17044, 1)], [(8, 1), (20, 3), (24, 1), (50, 2), (53, 1), (1035, 1), (1361, 1), (1429, 1), (6129, 1), (15155, 1), (17045, 1)], [(20, 1), (64, 1), (247, 1), (1335, 1), (6079, 1)], [(53, 1), (182, 1), (756, 1), (946, 1), (6297, 1), (10515, 1)], [(8, 1), (18, 1), (20, 2), (53, 1), (124, 1), (241, 1), (310, 1), (709, 1), (710, 1), (776, 1), (1235, 1), (1487, 1), (2925, 1), (5204, 1), (6315, 1), (7223, 1), (9040, 1), (9184, 1)], [(8, 1), (19, 2), (20, 3), (31, 2), (45, 3), (51, 1), (53, 2), (54, 2), (65, 1), (117, 1), (229, 1), (232, 1), (323, 1), (373, 2), (382, 1), (602, 1), (645, 1), (1325, 1), (1328, 1), (2075, 1), (2694, 1), (2965, 1), (3040, 1), (3567, 1), (3638, 1), (6695, 1), (12365, 1), (12753, 1), (17046, 1)], [(8, 1), (18, 3), (20, 6), (22, 1), (25, 1), (30, 2), (31, 2), (36, 1), (50, 4), (53, 1), (54, 1), (65, 4), (90, 1), (111, 1), (117, 1), (185, 1), (232, 1), (259, 1), (269, 1), (463, 1), (516, 1), (645, 1), (686, 1), (1069, 2), (1122, 1), (1695, 1), (1806, 1), (2178, 1), (2241, 1), (2581, 1), (3360, 1), (3714, 1), (3907, 1), (4219, 1), (10154, 1), (11106, 1), (12072, 1), (12249, 1), (13323, 1), (15794, 1), (17047, 1), (17048, 1), (17049, 1), (17050, 1), (17051, 1), (17052, 1)], [(53, 1), (64, 1), (182, 1), (756, 1), (1178, 1), (6297, 1), (10515, 1)], [(64, 1), (99, 1), (185, 1), (946, 1), (4706, 1)], [(8, 1), (18, 3), (20, 2), (25, 1), (31, 1), (50, 1), (53, 1), (58, 2), (90, 1), (95, 1), (109, 1), (173, 1), (186, 1), (347, 1), (516, 1), (706, 1), (778, 1), (790, 1), (1069, 1), (2457, 1), (2978, 1), (3524, 1), (5914, 1), (6213, 1), (6627, 1), (13666, 1), (17053, 1)], [(64, 1), (373, 1), (1178, 1), (1580, 1), (5358, 1)], [(7, 1), (19, 1), (20, 2), (25, 1), (30, 1), (53, 1), (410, 1), (707, 1), (1178, 1), (1198, 1), (2925, 1), (5743, 1), (6315, 1), (7363, 1), (9149, 1), (10752, 1), (11841, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 2), (45, 2), (50, 1), (53, 2), (173, 1), (359, 1), (459, 2), (654, 1), (680, 1), (833, 1), (884, 1), (1160, 1), (1506, 1), (1627, 1), (2239, 1), (3040, 1), (5011, 1), (7382, 1), (8245, 1), (11668, 1)], [(8, 1), (18, 1), (226, 1), (301, 1), (1392, 1), (2139, 1), (3436, 1), (3495, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 3), (25, 4), (31, 1), (45, 2), (50, 3), (53, 4), (54, 1), (58, 1), (71, 1), (82, 1), (90, 1), (117, 1), (161, 2), (173, 1), (193, 2), (229, 1), (232, 1), (256, 1), (347, 2), (359, 1), (365, 1), (387, 1), (414, 1), (415, 1), (452, 1), (488, 2), (531, 1), (605, 1), (776, 1), (812, 1), (897, 1), (1363, 1), (1393, 1), (1416, 2), (2029, 1), (3484, 1), (3638, 1), (4461, 1), (6103, 1), (6129, 1), (6315, 1), (6624, 1), (6699, 1), (9909, 1), (12332, 1), (12725, 1), (13141, 1), (13447, 1), (13948, 1)], [(8, 1), (18, 2), (19, 3), (20, 3), (21, 2), (22, 1), (25, 1), (32, 1), (53, 5), (58, 3), (69, 1), (77, 1), (108, 2), (109, 1), (117, 1), (186, 2), (214, 1), (232, 1), (268, 1), (310, 1), (323, 1), (334, 1), (346, 1), (365, 1), (373, 2), (414, 1), (430, 1), (433, 1), (452, 1), (516, 1), (632, 1), (697, 1), (709, 1), (834, 1), (897, 1), (1012, 1), (1196, 1), (1350, 1), (1471, 1), (1693, 1), (1830, 1), (2126, 1), (2839, 1), (3044, 1), (4599, 1), (5136, 1), (5273, 1), (5409, 1), (17054, 1), (17055, 1), (17056, 1)], [(8, 1), (18, 1), (19, 2), (20, 3), (22, 1), (25, 1), (32, 1), (50, 2), (53, 3), (55, 1), (166, 1), (173, 1), (241, 1), (253, 1), (269, 1), (709, 1), (827, 1), (894, 1), (1377, 1), (1458, 1), (2847, 1), (2998, 1), (3305, 1), (3416, 1), (3638, 1), (3670, 1), (3701, 1), (6315, 1), (6583, 1), (6908, 1), (7211, 1), (9052, 1), (9059, 1), (10996, 1), (13132, 1), (14310, 1), (17057, 1), (17058, 1), (17059, 1), (17060, 1)], [(8, 1), (20, 4), (25, 1), (30, 1), (45, 1), (69, 1), (90, 2), (97, 1), (109, 1), (111, 1), (122, 1), (197, 1), (217, 1), (225, 1), (307, 1), (884, 1), (1464, 1), (1499, 1), (2674, 1), (3590, 1), (3676, 1), (3678, 1), (5583, 1), (6315, 1), (7533, 1), (9820, 1), (12832, 1), (14378, 1), (17061, 1)], [(7, 2), (8, 1), (18, 3), (19, 2), (20, 4), (22, 1), (25, 1), (30, 1), (31, 1), (37, 1), (50, 5), (53, 6), (54, 1), (65, 3), (71, 1), (82, 1), (90, 1), (91, 1), (108, 1), (185, 1), (193, 1), (203, 1), (269, 1), (278, 1), (289, 1), (328, 1), (331, 1), (365, 1), (418, 1), (433, 1), (450, 1), (632, 1), (645, 2), (709, 1), (711, 1), (763, 1), (777, 1), (792, 1), (1171, 1), (1470, 1), (1534, 1), (1668, 1), (1694, 1), (1710, 1), (2007, 1), (2433, 1), (2616, 1), (2847, 1), (3337, 1), (4296, 1), (4456, 1), (4468, 1), (5788, 1), (6301, 1), (8216, 1), (13971, 1), (15659, 1), (17062, 1), (17063, 1), (17064, 1)], [(18, 2), (20, 5), (23, 2), (34, 2), (53, 1), (64, 1), (85, 1), (185, 1), (193, 1), (247, 1), (288, 1), (301, 1), (328, 1), (1134, 1), (1308, 1), (1325, 1), (1877, 1), (2296, 1), (2829, 1), (2847, 1), (2925, 1), (3786, 1), (4791, 1), (5978, 1), (7255, 1), (8067, 1), (8245, 1), (17065, 1)], [(20, 2), (25, 1), (53, 1), (65, 1), (66, 1), (777, 1), (1978, 1), (3685, 1), (9333, 1), (9626, 1), (17066, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (25, 3), (32, 1), (53, 3), (54, 1), (58, 1), (65, 1), (95, 1), (111, 1), (172, 1), (209, 1), (285, 1), (306, 1), (334, 1), (347, 2), (361, 1), (418, 1), (459, 1), (711, 1), (1494, 1), (1667, 1), (1702, 2), (2178, 1), (2672, 1), (2862, 1), (3552, 1), (5939, 1), (7030, 1), (7382, 1), (8724, 1), (9047, 1), (9239, 1), (11964, 1)], [(7, 1), (8, 1), (10, 1), (19, 2), (20, 6), (25, 2), (31, 1), (37, 1), (45, 2), (50, 5), (53, 8), (54, 2), (58, 2), (65, 2), (75, 2), (98, 1), (106, 1), (111, 1), (193, 2), (229, 1), (269, 1), (281, 1), (323, 1), (428, 1), (441, 1), (516, 1), (531, 2), (776, 1), (777, 1), (782, 1), (796, 1), (897, 1), (922, 1), (1342, 1), (1377, 1), (1559, 1), (2137, 1), (2159, 1), (2397, 1), (2978, 1), (3287, 1), (3379, 1), (3480, 1), (3591, 1), (3914, 1), (3978, 1), (4490, 1), (4941, 1), (6315, 1), (6873, 1), (8724, 1), (9172, 1), (9626, 1), (9915, 1), (10422, 1), (12321, 1), (13312, 1), (13851, 1), (17067, 1)], [(8, 1), (20, 1), (25, 1), (53, 2), (54, 1), (173, 1), (281, 1), (706, 1), (979, 1), (1012, 1), (1693, 1), (2200, 1), (2950, 1), (3125, 1), (3532, 1), (5173, 1), (7315, 1)], [(10, 1), (11, 1), (20, 7), (25, 2), (31, 2), (45, 3), (53, 2), (64, 1), (65, 1), (74, 1), (85, 2), (247, 1), (369, 1), (415, 1), (418, 1), (516, 1), (697, 1), (1068, 1), (1069, 2), (1325, 1), (1981, 1), (2014, 1), (2201, 1), (2258, 1), (2501, 1), (2694, 3), (2925, 1), (3638, 1), (3974, 1), (4390, 1), (4939, 1), (6315, 1), (6337, 1), (8482, 1), (8784, 1), (9788, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (25, 2), (34, 1), (90, 2), (117, 1), (295, 1), (329, 1), (434, 1), (442, 1), (498, 1), (531, 2), (581, 2), (742, 1), (812, 2), (1069, 2), (1075, 1), (3638, 2), (3786, 2), (5158, 1), (11309, 1)], [(34, 1), (53, 1), (117, 1), (174, 1), (288, 1), (357, 1), (756, 1), (792, 1), (946, 1), (1157, 1), (1323, 1), (1683, 1), (6945, 1), (10515, 1)], [(18, 2), (20, 5), (22, 1), (23, 1), (24, 1), (25, 1), (30, 1), (45, 1), (53, 3), (58, 2), (64, 2), (66, 1), (215, 1), (217, 1), (233, 1), (328, 1), (347, 1), (414, 1), (433, 1), (504, 1), (726, 1), (756, 1), (1069, 1), (1137, 1), (1163, 1), (1668, 1), (1931, 1), (2344, 1), (2543, 1), (2694, 1), (9737, 1), (10515, 1), (11439, 1), (11454, 1), (12532, 1), (12704, 1), (17068, 1)], [(20, 1), (64, 1), (90, 1), (173, 2), (331, 1), (708, 1), (792, 1), (946, 1), (1069, 1), (2354, 1)], [(8, 1), (20, 3), (25, 1), (32, 1), (53, 2), (109, 1), (117, 1), (173, 1), (215, 1), (232, 1), (293, 1), (310, 1), (414, 1), (792, 1), (2025, 1), (4854, 1), (5527, 1), (6315, 1), (6615, 1), (7315, 1), (12532, 1)], [(20, 3), (22, 1), (25, 1), (50, 1), (53, 1), (54, 1), (58, 1), (64, 1), (90, 1), (173, 1), (193, 1), (202, 1), (278, 1), (946, 1), (3237, 1), (3638, 1), (4939, 1)], [(22, 1), (53, 1), (54, 1), (58, 1), (64, 2), (233, 1), (288, 1), (506, 1), (946, 1), (1163, 1), (3179, 1), (6315, 1), (17069, 1)], [(8, 1), (23, 1), (31, 1), (40, 1), (53, 3), (54, 1), (64, 1), (90, 1), (122, 1), (414, 1), (505, 1), (763, 1), (1163, 1), (1342, 1), (1580, 1), (2911, 1), (11454, 1), (12532, 1), (17070, 1)], [(8, 1), (23, 1), (50, 1), (53, 1), (54, 1), (64, 1), (90, 1), (193, 1), (756, 1), (1342, 1), (5555, 1), (10515, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (25, 2), (37, 1), (50, 2), (53, 1), (54, 1), (90, 2), (91, 1), (108, 1), (111, 1), (117, 1), (166, 1), (173, 1), (187, 1), (232, 1), (269, 2), (278, 1), (293, 1), (361, 1), (373, 2), (404, 1), (414, 1), (419, 1), (446, 1), (450, 1), (1122, 1), (1308, 1), (1483, 1), (1506, 1), (1580, 2), (2013, 1), (2348, 1), (2397, 1), (2872, 1), (3731, 1), (6737, 1), (9172, 1), (9424, 1), (11958, 1), (15175, 1), (15273, 1), (15784, 1), (17071, 2), (17072, 1)], [(18, 2), (20, 2), (25, 2), (37, 1), (50, 1), (53, 2), (55, 1), (65, 1), (66, 1), (95, 1), (109, 1), (117, 1), (186, 1), (334, 1), (365, 1), (704, 1), (706, 1), (778, 1), (1340, 1), (2732, 1), (2795, 1), (2921, 1), (4432, 1), (10726, 1), (15348, 1), (17073, 1)], [(20, 1), (54, 2), (58, 1), (64, 1), (122, 1), (173, 2), (1178, 1)], [(8, 1), (20, 1), (45, 1), (85, 1), (669, 1), (1856, 1), (2925, 1), (5496, 1), (6315, 1), (6630, 1)], [(31, 1), (45, 1), (64, 1), (66, 1), (331, 1), (707, 1), (2718, 1), (3406, 1), (4568, 1), (8918, 1)], [(20, 2), (21, 2), (64, 1), (256, 1), (414, 1), (459, 1), (711, 1), (1163, 1), (1178, 1), (1198, 1), (2495, 1), (2925, 1), (4390, 1), (4939, 1), (6315, 1), (10070, 1), (17074, 1), (17075, 1)], [(8, 1), (18, 1), (20, 2), (53, 1), (64, 1), (65, 1), (233, 1), (248, 1), (506, 1), (687, 1), (897, 1), (1163, 1), (2178, 1), (12532, 1), (17076, 1)], [(19, 1), (20, 4), (25, 2), (37, 1), (51, 1), (53, 2), (55, 1), (64, 1), (65, 2), (185, 1), (193, 1), (247, 1), (334, 1), (378, 1), (428, 1), (706, 1), (778, 1), (1239, 1), (1580, 1), (2013, 1), (2732, 1), (2752, 1), (4767, 1), (4941, 1), (5739, 1), (15175, 1), (17077, 1), (17078, 1)], [(19, 1), (20, 1), (21, 2), (22, 1), (23, 2), (30, 1), (34, 1), (51, 1), (53, 1), (58, 1), (64, 1), (65, 1), (66, 1), (74, 1), (531, 1), (1081, 1), (1596, 1), (3034, 1), (3250, 1), (3786, 1), (4939, 1), (4941, 1), (11266, 1)], [(19, 1), (20, 4), (22, 3), (23, 1), (31, 1), (45, 2), (50, 1), (53, 3), (54, 1), (58, 3), (63, 1), (64, 2), (65, 1), (82, 1), (90, 1), (117, 1), (247, 1), (256, 2), (269, 1), (293, 1), (328, 1), (377, 1), (414, 2), (419, 3), (420, 1), (426, 1), (449, 1), (759, 1), (774, 1), (860, 1), (897, 1), (1163, 1), (1239, 2), (1347, 1), (1685, 1), (2127, 1), (2498, 1), (2523, 1), (2732, 1), (3034, 2), (3083, 1), (3438, 1), (3469, 1), (5611, 1), (8242, 1), (9160, 1), (15294, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (37, 1), (50, 1), (53, 1), (90, 1), (95, 1), (117, 1), (232, 1), (415, 1), (708, 1), (2348, 1), (4199, 1), (6281, 1), (17079, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (21, 2), (23, 2), (25, 2), (30, 1), (31, 2), (40, 1), (50, 1), (53, 2), (54, 1), (58, 1), (71, 1), (95, 1), (96, 1), (173, 1), (288, 1), (334, 1), (401, 1), (505, 1), (507, 1), (515, 1), (726, 1), (903, 1), (949, 1), (1237, 1), (1580, 1), (2296, 1), (2919, 1), (3168, 1), (3864, 1), (4136, 1), (5760, 1), (12697, 1)], [(7, 1), (8, 2), (10, 2), (18, 4), (19, 1), (20, 10), (21, 3), (22, 2), (23, 5), (25, 2), (34, 1), (37, 1), (50, 1), (51, 1), (53, 5), (54, 3), (55, 1), (58, 2), (65, 3), (95, 1), (97, 1), (108, 2), (111, 1), (117, 5), (167, 1), (172, 2), (185, 2), (215, 1), (226, 1), (232, 4), (273, 1), (285, 1), (295, 1), (331, 1), (334, 1), (373, 3), (414, 1), (428, 2), (498, 1), (601, 1), (697, 1), (763, 2), (897, 1), (1075, 1), (1195, 1), (1239, 2), (1325, 1), (1506, 1), (1572, 1), (1580, 1), (1615, 1), (1904, 1), (2259, 1), (2495, 1), (3091, 1), (3140, 1), (3358, 1), (3366, 2), (5549, 1), (5737, 1), (5888, 1), (6252, 1), (6818, 1), (9896, 1), (11958, 2), (11968, 1), (15259, 1), (17078, 1), (17080, 1), (17081, 4), (17082, 1)], [(8, 1), (18, 3), (20, 8), (21, 5), (23, 1), (25, 2), (31, 2), (37, 1), (50, 1), (53, 3), (54, 1), (55, 1), (58, 1), (85, 2), (95, 1), (99, 1), (117, 1), (186, 1), (215, 1), (232, 1), (261, 1), (301, 1), (313, 1), (345, 1), (427, 1), (516, 1), (623, 1), (645, 1), (949, 1), (1010, 1), (1170, 1), (1570, 1), (1720, 1), (2401, 1), (2479, 1), (2616, 1), (3134, 1), (3760, 1), (4235, 1), (5360, 1), (11314, 1), (17083, 1), (17084, 1), (17085, 1), (17086, 1), (17087, 1), (17088, 1)], [(8, 1), (18, 2), (19, 1), (20, 11), (21, 1), (22, 3), (23, 3), (25, 1), (31, 2), (37, 3), (53, 4), (54, 3), (55, 1), (58, 2), (65, 1), (78, 1), (92, 1), (193, 1), (215, 3), (256, 1), (273, 1), (310, 1), (337, 1), (373, 1), (418, 1), (516, 1), (623, 1), (763, 1), (778, 1), (897, 1), (1102, 1), (1129, 1), (1165, 1), (1350, 1), (1580, 1), (2077, 1), (2503, 1), (2732, 1), (2734, 1), (3036, 1), (3264, 1), (3426, 1), (3512, 1), (3685, 1), (4251, 1), (5324, 2), (5391, 1), (5740, 1), (5788, 1), (9221, 1), (11202, 1), (11673, 1), (12081, 1), (13120, 1), (13812, 1), (15758, 1), (17089, 1)], [(8, 1), (37, 1), (85, 1), (751, 1), (1477, 1)], [(8, 1), (18, 2), (19, 1), (20, 2), (23, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 1), (65, 1), (74, 1), (90, 1), (108, 1), (516, 1), (553, 1), (1416, 1), (1580, 1), (1867, 1), (2259, 1), (3402, 1), (3406, 1), (5081, 1), (6770, 1), (9585, 1), (9774, 1), (11956, 1), (17090, 1)], [(7, 1), (8, 1), (10, 2), (18, 3), (19, 1), (20, 16), (21, 3), (22, 2), (23, 3), (25, 5), (37, 1), (45, 2), (50, 3), (53, 10), (54, 1), (64, 2), (74, 1), (75, 1), (85, 1), (90, 2), (99, 1), (117, 2), (155, 1), (186, 1), (190, 1), (193, 1), (226, 2), (232, 2), (269, 1), (273, 1), (300, 1), (301, 1), (310, 2), (328, 1), (332, 1), (365, 1), (392, 1), (406, 1), (420, 2), (426, 1), (506, 5), (516, 1), (560, 1), (697, 2), (707, 1), (708, 1), (709, 1), (774, 2), (898, 1), (922, 1), (1037, 1), (1041, 1), (1069, 1), (1325, 2), (1570, 1), (1580, 3), (1731, 2), (1732, 1), (1902, 1), (1931, 1), (1932, 1), (2025, 1), (2077, 1), (2145, 1), (2178, 2), (2190, 1), (2348, 1), (2543, 3), (2656, 1), (2734, 1), (2780, 1), (2985, 1), (3106, 1), (3162, 1), (3358, 1), (3401, 1), (3594, 1), (3612, 1), (4058, 1), (4757, 1), (5485, 1), (5612, 1), (5976, 1), (6364, 1), (6608, 1), (6773, 1), (6794, 1), (6818, 1), (12568, 1), (13776, 1), (15720, 1), (16114, 2), (17091, 2), (17092, 1)], [(20, 2), (50, 1), (53, 1), (66, 1), (324, 1), (346, 1), (1596, 1), (1858, 1), (3179, 1), (17091, 1), (17093, 1)], [(8, 1), (19, 1), (20, 3), (24, 1), (37, 1), (45, 1), (53, 1), (55, 1), (85, 1), (91, 1), (217, 1), (347, 1), (414, 1), (527, 1), (707, 1), (1342, 1), (1363, 1), (1820, 1), (2681, 1), (2965, 1), (5612, 1), (5682, 1), (8686, 1), (9260, 1), (9927, 1), (14008, 1), (15332, 1), (17094, 1)], [(8, 1), (18, 4), (20, 3), (22, 2), (25, 3), (31, 3), (45, 1), (50, 1), (53, 3), (54, 2), (65, 1), (75, 1), (111, 1), (173, 2), (193, 1), (217, 1), (256, 1), (269, 2), (347, 1), (415, 1), (418, 1), (531, 1), (1122, 1), (1348, 1), (1806, 1), (1820, 1), (2015, 1), (2036, 1), (2210, 1), (2346, 1), (2371, 1), (2694, 1), (2949, 1), (2977, 1), (2978, 2), (2982, 1), (3000, 1), (3487, 1), (3714, 1), (3837, 1), (3901, 1), (4791, 1), (4976, 1), (5322, 1), (7031, 1), (7895, 1), (7898, 1), (8428, 1), (9767, 1), (12288, 1), (17095, 1), (17096, 1)], [(8, 1), (19, 2), (20, 3), (25, 1), (30, 1), (45, 2), (50, 1), (117, 2), (173, 1), (193, 1), (232, 2), (301, 1), (414, 1), (1325, 1), (1685, 1), (2348, 1), (3640, 1), (4605, 1), (5105, 1), (6048, 1), (6315, 1), (9394, 1), (17097, 1)], [(18, 1), (20, 3), (22, 1), (25, 1), (51, 1), (53, 1), (54, 1), (64, 2), (65, 1), (84, 1), (95, 1), (122, 1), (226, 1), (573, 1), (1163, 1), (1198, 1), (1580, 1), (1904, 1), (1931, 1), (2296, 1), (2911, 1), (2954, 1), (3401, 1), (6595, 1), (7922, 1), (17098, 1), (17099, 1)], [(20, 2), (22, 1), (50, 1), (53, 2), (64, 2), (65, 1), (66, 1), (77, 1), (81, 1), (269, 1), (287, 1), (414, 1), (709, 1), (860, 1), (1163, 1), (1325, 1), (1429, 1), (1580, 1), (1858, 1), (5181, 1), (6315, 1), (11989, 1), (17045, 1)], [(8, 1), (19, 2), (20, 1), (50, 1), (51, 1), (53, 3), (64, 1), (84, 1), (85, 1), (328, 1), (414, 1), (708, 1), (831, 1), (1615, 1), (2967, 1), (3425, 1), (5877, 1), (11454, 1), (17099, 1), (17100, 1)], [(21, 1), (22, 2), (23, 2), (30, 2), (31, 1), (37, 1), (50, 1), (53, 1), (54, 2), (55, 2), (58, 1), (166, 1), (186, 1), (268, 1), (301, 1), (452, 1), (792, 1), (1196, 1), (1198, 1), (1227, 1), (1910, 1), (5788, 1), (12993, 1), (17101, 1)], [(20, 1), (64, 1), (452, 1), (1178, 1), (1583, 1), (17101, 1)], [(8, 1), (19, 2), (20, 4), (22, 2), (25, 1), (31, 2), (34, 1), (45, 1), (53, 3), (55, 1), (64, 1), (117, 2), (173, 1), (197, 1), (410, 1), (414, 1), (506, 2), (508, 1), (518, 1), (759, 1), (777, 1), (824, 1), (897, 1), (985, 1), (1057, 1), (1224, 1), (1248, 1), (1350, 1), (1377, 1), (1856, 1), (2140, 1), (2471, 1), (2876, 1), (2926, 1), (3026, 1), (3425, 1), (3690, 1), (14622, 1), (17102, 1), (17103, 1), (17104, 1), (17105, 1), (17106, 1)], [(20, 1), (247, 1), (295, 1), (1583, 1), (7943, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (54, 1), (55, 1), (173, 1), (186, 1), (452, 1), (506, 1), (1227, 1), (1580, 1), (2785, 1), (12993, 1), (17101, 1)], [(247, 1), (1583, 1)], [(8, 2), (18, 1), (20, 2), (25, 1), (77, 1), (334, 1), (452, 1), (12568, 1), (17091, 1), (17101, 1), (17107, 1), (17108, 1)], [(10, 1), (20, 2), (85, 1), (99, 1), (247, 1), (3790, 1), (3918, 1), (17091, 1)], [(117, 1), (295, 1), (759, 1), (1714, 1), (1907, 1), (2149, 1)], [(18, 1), (99, 1), (117, 1), (960, 1), (2132, 1), (2705, 1), (3034, 1), (3461, 1), (7760, 1), (9720, 1)], [(7, 2), (20, 3), (23, 1), (66, 1), (71, 1), (99, 1), (117, 1), (161, 1), (301, 1), (415, 1), (461, 1), (645, 1), (833, 1), (1075, 1), (1858, 1), (1964, 1), (2466, 1), (3760, 1), (7208, 1), (7341, 1)], [(8, 1), (19, 2), (20, 3), (22, 1), (50, 1), (53, 1), (64, 1), (65, 1), (71, 1), (77, 1), (90, 1), (99, 1), (172, 1), (173, 1), (185, 1), (193, 1), (203, 1), (228, 1), (233, 1), (434, 1), (487, 1), (813, 1), (949, 1), (1193, 1), (1198, 1), (1325, 1), (1695, 1), (2270, 1), (2299, 1), (2744, 1), (3947, 1), (5066, 1), (6315, 1), (6353, 1), (7347, 1), (9156, 1), (11642, 1), (11813, 1), (17091, 1), (17109, 1), (17110, 1), (17111, 1)], [(18, 1), (19, 1), (20, 3), (21, 4), (22, 1), (23, 3), (50, 1), (53, 2), (77, 1), (90, 2), (215, 2), (240, 1), (242, 1), (273, 2), (301, 1), (645, 1), (812, 1), (830, 1), (1149, 1), (1198, 1), (1282, 1), (4749, 1), (5679, 1), (6160, 1), (6223, 1), (11442, 1), (15407, 1), (15481, 1), (17091, 1), (17112, 1), (17113, 1), (17114, 1), (17115, 1)], [(64, 1), (1178, 1), (1828, 1)], [(18, 1), (19, 1), (21, 1), (22, 4), (30, 2), (50, 1), (53, 3), (55, 1), (58, 2), (64, 1), (66, 1), (117, 1), (173, 1), (232, 1), (256, 1), (287, 2), (414, 2), (428, 1), (680, 1), (812, 1), (813, 1), (1069, 1), (1262, 1), (1325, 1), (1639, 1), (1884, 1), (2555, 1), (2925, 1), (9543, 1), (17116, 1)], [(8, 1), (20, 2), (23, 1), (53, 1), (64, 1), (215, 1), (233, 1), (240, 1), (830, 1), (1163, 1), (1778, 1), (3401, 1), (4015, 1)], [(8, 1), (20, 6), (22, 2), (23, 1), (25, 3), (40, 1), (50, 1), (53, 2), (54, 3), (58, 1), (64, 1), (90, 1), (117, 1), (124, 1), (174, 1), (215, 2), (232, 1), (307, 1), (410, 1), (418, 1), (454, 1), (573, 2), (690, 1), (704, 1), (726, 1), (833, 1), (949, 2), (1134, 1), (1580, 1), (1904, 1), (2323, 1), (2466, 1), (2470, 2), (3061, 1), (3401, 1), (3409, 1), (3726, 1), (4136, 1), (4673, 1), (9542, 1), (11642, 1), (11653, 1), (14428, 1), (17098, 1)], [(8, 1), (23, 1), (53, 1), (55, 1), (58, 1), (1239, 1), (1304, 1), (15917, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (54, 1), (58, 2), (96, 1), (359, 1), (426, 1), (708, 1), (1485, 1), (1644, 1), (2401, 1), (4387, 1), (5497, 1)], [(8, 1), (19, 3), (20, 4), (22, 3), (23, 2), (31, 1), (37, 1), (53, 4), (55, 2), (58, 2), (65, 1), (75, 1), (77, 2), (82, 1), (85, 1), (90, 4), (117, 2), (173, 3), (193, 1), (215, 1), (232, 2), (268, 1), (269, 1), (301, 1), (305, 1), (328, 2), (347, 2), (387, 1), (448, 1), (608, 1), (776, 1), (885, 1), (1069, 1), (1137, 1), (1198, 1), (1325, 1), (2140, 1), (2299, 1), (2442, 1), (2495, 2), (2694, 1), (2862, 1), (3082, 1), (3133, 1), (3333, 1), (4562, 1), (4713, 1), (6495, 1), (7802, 1), (8174, 1), (12822, 1), (17095, 1)], [(8, 1), (36, 1), (275, 1), (428, 1), (561, 1), (8215, 1), (12013, 1)], [(18, 2), (20, 6), (22, 1), (25, 2), (31, 1), (34, 1), (40, 1), (45, 3), (50, 1), (53, 2), (65, 1), (66, 1), (82, 1), (90, 1), (97, 1), (99, 1), (111, 1), (161, 1), (173, 1), (185, 1), (190, 1), (217, 1), (226, 1), (256, 1), (288, 1), (295, 1), (328, 1), (426, 1), (516, 1), (573, 1), (949, 1), (1037, 1), (1198, 1), (1325, 1), (1336, 1), (1498, 1), (1779, 1), (2013, 1), (2145, 1), (2299, 1), (2691, 1), (3446, 1), (3453, 1), (3513, 1), (3782, 1), (3999, 1), (4536, 1), (5627, 1), (7839, 1), (11569, 1), (15109, 1), (16397, 1), (17117, 1), (17118, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (45, 1), (53, 1), (54, 1), (55, 1), (58, 1), (64, 2), (117, 1), (173, 1), (233, 1), (256, 1), (759, 1), (792, 1), (1163, 1), (1165, 1), (1325, 1), (1907, 1), (3689, 1), (5339, 1)], [(20, 2), (21, 1), (99, 3), (247, 1), (1583, 1), (4592, 1), (17091, 1), (17119, 1)], [(31, 1), (40, 1), (53, 1), (54, 1), (56, 1), (328, 1), (744, 1), (1600, 1), (1714, 1), (2265, 1), (17091, 1)], [(19, 2), (20, 4), (22, 1), (31, 1), (66, 1), (71, 1), (99, 5), (420, 1), (743, 1), (1383, 1), (3062, 1), (3461, 1), (3740, 1), (3785, 1), (3790, 1), (5161, 2), (5367, 1), (17091, 1)], [(50, 1), (53, 1), (64, 1), (596, 1), (756, 1), (946, 1), (2266, 1), (10515, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (32, 1), (53, 1), (65, 1), (185, 1), (217, 1), (323, 1), (347, 1), (354, 1), (418, 1), (1348, 1), (1820, 1), (2036, 1), (2925, 1), (6315, 1), (6822, 1), (11480, 1), (14116, 1)], [(64, 1), (1178, 1), (1583, 1)], [(20, 2), (53, 1), (64, 1), (65, 1), (247, 1), (269, 1), (860, 1), (1325, 1), (2925, 1), (3162, 1), (5134, 1)], [(1, 1), (4, 1), (18, 1), (19, 1), (20, 6), (21, 2), (22, 2), (23, 3), (25, 1), (30, 2), (31, 1), (34, 1), (53, 1), (54, 2), (58, 2), (66, 1), (90, 1), (95, 1), (96, 1), (108, 1), (117, 2), (173, 2), (215, 2), (307, 1), (309, 1), (337, 1), (347, 1), (410, 1), (419, 2), (420, 1), (448, 3), (506, 1), (626, 1), (744, 1), (759, 2), (897, 2), (1057, 1), (1342, 2), (1458, 1), (1644, 1), (2013, 1), (2024, 1), (2030, 1), (2295, 1), (2498, 2), (2523, 1), (2666, 1), (3034, 1), (3633, 1), (5583, 1), (11266, 1), (11454, 1)], [(45, 1), (64, 1), (117, 1), (357, 1), (946, 1), (1229, 1), (1458, 1), (4709, 1), (6945, 1), (7226, 1)], [(64, 1), (66, 1), (12987, 1)], [(64, 1), (82, 1), (166, 1), (301, 1), (946, 1), (6209, 1)], [(19, 2), (64, 1), (117, 2), (269, 1), (392, 1), (759, 2), (815, 1), (1714, 1), (1966, 1), (2011, 1), (2853, 1), (5601, 1), (12248, 1)], [(23, 1), (185, 1), (415, 1), (596, 1), (654, 1), (743, 1), (1069, 1), (1685, 1), (1714, 1)], [(1, 1), (4, 1), (23, 1), (66, 1), (117, 2), (173, 1), (215, 1), (289, 1), (293, 1), (331, 1), (759, 1), (3073, 1), (3358, 1), (6654, 1), (10060, 1), (12152, 1)], [(8, 1), (19, 1), (20, 2), (30, 1), (53, 1), (64, 2), (108, 1), (324, 1), (691, 1), (897, 1), (970, 1), (1069, 1), (1163, 1), (1615, 1), (1656, 1), (2013, 1), (5181, 1), (17091, 1), (17120, 1)], [(7, 1), (18, 1), (19, 2), (20, 4), (25, 1), (30, 1), (31, 1), (50, 1), (53, 2), (58, 1), (77, 1), (90, 2), (95, 1), (99, 2), (108, 1), (117, 1), (214, 1), (232, 1), (260, 1), (293, 1), (452, 1), (645, 1), (1069, 1), (1129, 1), (1198, 1), (1336, 2), (1475, 1), (1714, 1), (1904, 1), (1929, 1), (2098, 1), (2299, 1), (3034, 2), (3419, 1), (5066, 1), (6265, 1), (8038, 1), (9311, 1), (9866, 2), (12160, 1), (13172, 1), (17121, 1), (17122, 1), (17123, 1), (17124, 1)], [(8, 1), (58, 1), (173, 1), (278, 1), (331, 1), (1779, 1)], [(8, 1), (45, 1), (53, 1), (77, 1), (88, 1), (90, 1), (96, 1), (99, 1), (108, 1), (117, 1), (232, 1), (241, 1), (756, 1), (1308, 1), (3916, 1), (10515, 1), (17065, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (22, 1), (173, 2), (286, 1), (349, 1), (812, 1), (923, 1), (1308, 1), (2009, 1), (2034, 1), (4465, 1), (12248, 1), (17125, 1)], [(8, 1), (18, 3), (20, 6), (22, 1), (23, 1), (25, 2), (30, 2), (31, 3), (34, 1), (50, 1), (51, 1), (53, 1), (58, 2), (65, 1), (77, 1), (90, 1), (108, 1), (111, 1), (117, 1), (124, 1), (173, 2), (186, 1), (269, 1), (275, 1), (281, 1), (295, 1), (301, 1), (316, 1), (328, 1), (349, 1), (420, 1), (428, 1), (498, 1), (508, 1), (516, 1), (531, 1), (776, 1), (1075, 1), (1180, 1), (1342, 1), (1830, 1), (2048, 1), (2178, 1), (2495, 1), (2605, 1), (2863, 1), (3121, 1), (3257, 1), (3352, 1), (5056, 1), (6672, 1), (7129, 1), (8512, 1), (17126, 1), (17127, 1), (17128, 1), (17129, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (30, 1), (45, 1), (58, 1), (65, 1), (90, 1), (108, 1), (428, 1), (697, 1), (1165, 1), (1450, 1), (1909, 1), (2863, 1), (2864, 1), (4491, 1), (5384, 1), (8964, 1), (10620, 1), (17121, 1)], [(18, 1), (19, 2), (20, 5), (22, 1), (25, 1), (31, 1), (37, 1), (50, 2), (53, 5), (58, 1), (66, 1), (77, 1), (90, 2), (95, 1), (99, 2), (108, 1), (117, 1), (172, 2), (193, 1), (195, 1), (214, 1), (232, 1), (269, 1), (410, 1), (415, 1), (498, 1), (504, 1), (687, 1), (1069, 2), (1308, 1), (1594, 1), (1778, 1), (1904, 1), (1966, 1), (2149, 1), (2185, 1), (2265, 1), (2537, 1), (2842, 1), (3102, 1), (3591, 1), (4210, 1), (6379, 1), (12285, 1), (17098, 1), (17130, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (23, 1), (25, 1), (30, 1), (53, 2), (58, 1), (64, 2), (82, 1), (117, 3), (173, 2), (225, 1), (232, 1), (233, 1), (256, 1), (269, 1), (295, 1), (581, 1), (605, 1), (759, 2), (897, 1), (1069, 1), (1163, 1), (1165, 1), (1235, 1), (1904, 1), (2201, 1), (2265, 1), (2498, 1), (2912, 1), (3034, 1), (3612, 1), (17091, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (25, 1), (30, 1), (90, 1), (108, 2), (117, 1), (124, 1), (225, 1), (396, 1), (506, 2), (776, 1), (1165, 1), (3069, 1), (3600, 1), (9172, 1), (10515, 1)], [(18, 1), (20, 5), (22, 2), (23, 1), (25, 1), (30, 2), (31, 2), (50, 1), (65, 1), (70, 1), (71, 1), (77, 1), (90, 1), (99, 1), (117, 2), (173, 1), (232, 1), (256, 1), (285, 1), (293, 1), (295, 1), (328, 1), (334, 1), (342, 1), (351, 1), (454, 1), (498, 1), (709, 1), (759, 1), (946, 1), (1904, 1), (1907, 1), (1918, 1), (3034, 1), (6213, 1), (7760, 1), (11578, 1), (15201, 1), (16977, 1)], [(8, 1), (21, 1), (53, 1), (193, 1), (224, 1), (2694, 1), (3638, 1)], [(8, 1), (36, 1), (64, 1), (77, 1)], [(8, 1), (20, 1), (37, 1), (71, 1), (90, 1), (108, 1), (173, 1), (190, 1), (301, 1), (1702, 1), (3835, 1)], [(8, 1), (20, 1), (70, 1), (77, 2), (82, 1), (90, 1), (96, 1), (202, 1), (387, 1), (454, 1), (498, 1), (596, 1), (2029, 1), (6685, 1), (16663, 1)], [(18, 1), (36, 1), (37, 1), (117, 1), (232, 1), (247, 1), (11822, 1)], [(30, 1), (117, 1), (174, 1), (357, 1), (605, 1), (726, 1), (1347, 1), (1714, 1), (2344, 1), (6945, 1)], [(554, 1), (697, 1), (946, 1), (11945, 1)], [(18, 1), (20, 4), (21, 1), (22, 1), (25, 2), (45, 1), (53, 3), (58, 1), (64, 2), (117, 3), (185, 1), (193, 1), (206, 1), (232, 3), (377, 1), (515, 1), (516, 1), (645, 1), (842, 1), (949, 1), (1021, 1), (1122, 1), (1163, 1), (1178, 1), (1287, 1), (1580, 1), (1628, 1), (2753, 1), (2925, 1), (3786, 3), (3790, 1), (4062, 1), (4532, 1), (5913, 1), (6315, 1), (6918, 1), (8126, 1), (12796, 1), (17091, 1), (17131, 1), (17132, 1), (17133, 1), (17134, 1), (17135, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (25, 1), (45, 1), (109, 1), (117, 1), (232, 1), (707, 1), (1069, 1), (1931, 1), (2292, 1), (3542, 1), (6315, 1), (17136, 1)], [(64, 1), (1178, 1), (6994, 1)], [(20, 1), (30, 1), (53, 2), (247, 1), (305, 1), (373, 1), (1198, 1), (1693, 1), (5358, 1), (5728, 1), (6315, 1), (15858, 1)], [(554, 1), (697, 1), (946, 1), (11945, 1)], [(64, 1), (332, 1), (1178, 1), (3642, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (54, 1), (283, 1), (1235, 1), (1904, 1), (2140, 1), (2925, 1), (4145, 1)], [(53, 1), (64, 1), (117, 1), (232, 1), (596, 1), (1196, 1), (1714, 1)], [(20, 1), (23, 1), (36, 1), (54, 1), (324, 1), (342, 1), (946, 1), (1738, 1), (1859, 1), (1904, 1), (2633, 1), (2909, 1), (11945, 1)], [(8, 1), (9887, 1), (11980, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 5), (25, 1), (30, 1), (45, 1), (53, 4), (65, 1), (88, 1), (117, 2), (232, 2), (301, 1), (373, 1), (414, 1), (433, 1), (709, 1), (777, 1), (800, 1), (1693, 1), (1981, 1), (2076, 1), (2433, 1), (3379, 1), (3685, 1), (3867, 1), (5639, 1), (5743, 1), (6315, 1), (7305, 1), (9117, 1), (9626, 1), (11980, 1), (11987, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (31, 1), (53, 2), (54, 1), (117, 1), (173, 1), (232, 1), (359, 1), (373, 1), (450, 1), (459, 1), (600, 1), (710, 1), (1416, 1), (2965, 1), (10752, 1), (12059, 1), (12687, 1)], [(8, 1), (30, 1), (53, 1), (359, 1), (1235, 1), (1823, 1), (1904, 1), (6309, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (45, 1), (50, 1), (53, 2), (229, 1), (516, 1), (626, 1), (709, 1), (753, 1), (1057, 1), (1068, 1), (1501, 1), (2296, 1), (2977, 1), (3040, 1), (6129, 1), (6315, 1), (7382, 1), (12026, 1)], [(1544, 1), (17137, 1)], [(8, 1), (24, 1), (17138, 1)], [(8, 1), (18, 1), (20, 7), (22, 1), (25, 2), (31, 2), (50, 5), (53, 6), (54, 1), (58, 1), (71, 1), (82, 1), (90, 2), (97, 1), (109, 2), (110, 1), (117, 1), (178, 1), (226, 1), (232, 1), (310, 1), (320, 1), (337, 1), (686, 1), (709, 1), (753, 1), (1035, 1), (1235, 1), (1282, 1), (1287, 1), (1322, 1), (1348, 1), (1391, 1), (1429, 1), (1580, 1), (1647, 1), (1668, 1), (1951, 1), (2089, 1), (2096, 1), (2240, 1), (2248, 1), (2321, 2), (3036, 1), (3413, 1), (3506, 1), (4698, 1), (6255, 1), (6309, 1), (8336, 1), (11577, 1), (17045, 2), (17139, 1), (17140, 1), (17141, 1), (17142, 1), (17143, 1)], [(8, 1), (10, 2), (11, 2), (19, 1), (20, 4), (22, 2), (25, 3), (31, 4), (40, 2), (50, 3), (53, 5), (54, 1), (58, 1), (65, 1), (74, 1), (82, 2), (84, 2), (85, 1), (90, 3), (108, 1), (174, 1), (185, 1), (210, 1), (256, 2), (334, 1), (345, 1), (347, 1), (355, 1), (392, 1), (448, 1), (605, 1), (609, 1), (756, 1), (763, 1), (829, 1), (885, 1), (1102, 1), (1116, 1), (1140, 2), (1235, 1), (1253, 1), (1284, 1), (1308, 1), (1347, 1), (1361, 1), (1384, 1), (1454, 1), (1495, 1), (1580, 1), (1667, 1), (1685, 1), (2096, 1), (2321, 1), (2655, 1), (3342, 1), (3835, 1), (5224, 1), (6105, 1), (6306, 1), (7180, 1), (7568, 1), (8008, 1), (8800, 1), (9236, 1), (9595, 1), (10672, 1), (17144, 1), (17145, 2), (17146, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (30, 1), (50, 1), (53, 5), (55, 1), (58, 1), (90, 2), (108, 1), (226, 1), (293, 1), (323, 1), (334, 1), (399, 1), (459, 2), (711, 1), (756, 1), (763, 1), (988, 1), (1115, 1), (1253, 1), (1308, 1), (1350, 1), (1536, 1), (2259, 1), (2775, 1), (2985, 1), (3813, 1), (4360, 1), (4917, 1), (5828, 1), (5878, 1), (6182, 1), (7654, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (25, 2), (31, 1), (49, 1), (50, 2), (53, 7), (54, 1), (65, 1), (85, 1), (95, 1), (108, 1), (161, 1), (193, 1), (334, 1), (359, 1), (373, 1), (395, 1), (399, 1), (709, 1), (763, 1), (813, 1), (850, 1), (942, 1), (1011, 1), (2196, 1), (2206, 1), (2207, 1), (2241, 1), (3342, 1), (3894, 1), (5547, 1), (5743, 1), (6105, 1), (7648, 1), (8307, 1), (17147, 1), (17148, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (24, 1), (25, 4), (50, 2), (53, 4), (54, 2), (55, 1), (117, 1), (232, 1), (263, 1), (269, 1), (355, 1), (415, 1), (430, 1), (459, 1), (587, 1), (756, 1), (976, 1), (1155, 1), (1159, 2), (1235, 1), (1253, 1), (1488, 1), (1517, 1), (1627, 1), (1820, 1), (1867, 1), (2351, 1), (4852, 1), (6213, 1), (6548, 1), (6777, 1), (7760, 1), (8747, 1), (8975, 1), (15533, 1), (17147, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 2), (23, 1), (25, 3), (37, 1), (45, 1), (50, 2), (53, 4), (54, 1), (55, 1), (65, 2), (82, 1), (185, 1), (193, 1), (228, 1), (288, 1), (301, 1), (342, 1), (392, 1), (395, 1), (414, 1), (428, 1), (450, 3), (1308, 1), (1392, 1), (1429, 1), (1435, 1), (1458, 1), (1487, 1), (1488, 1), (1723, 1), (1779, 1), (2096, 1), (2131, 1), (2178, 1), (2262, 1), (2264, 1), (2321, 1), (3117, 1), (3342, 1), (3689, 1), (5851, 1), (7162, 1), (7290, 1), (7573, 1), (7664, 1), (9251, 1), (9977, 1), (17141, 1), (17149, 1), (17150, 1), (17151, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (50, 1), (53, 1), (58, 1), (65, 1), (82, 1), (288, 1), (289, 1), (353, 1), (448, 1), (792, 1), (872, 1), (1488, 1), (1747, 1), (1904, 1), (2334, 1), (3707, 1), (7513, 1), (8075, 1), (17149, 1), (17152, 1)], [(8, 1), (37, 1), (77, 1), (82, 1), (185, 1), (301, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (50, 2), (53, 2), (85, 1), (95, 1), (229, 1), (287, 1), (359, 1), (414, 1), (450, 1), (709, 1), (922, 1), (2172, 1), (2321, 1), (4281, 1), (4652, 1), (6105, 1), (7664, 1), (11473, 1), (17153, 1), (17154, 1)], [(8, 1), (18, 1), (21, 1), (22, 1), (25, 1), (46, 1), (53, 2), (54, 1), (58, 1), (64, 1), (72, 1), (90, 1), (222, 1), (240, 1), (334, 1), (353, 1), (507, 1), (658, 1), (709, 1), (763, 1), (1518, 1), (1820, 1), (2266, 1), (2299, 1), (4264, 1), (6149, 1), (11473, 1), (17155, 1), (17156, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (24, 1), (31, 1), (54, 1), (185, 1), (1488, 1), (1904, 1), (2240, 1), (2419, 1), (3867, 1), (5874, 1), (17155, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (23, 1), (45, 1), (50, 1), (53, 5), (56, 1), (108, 1), (172, 1), (174, 1), (203, 1), (246, 1), (334, 1), (342, 1), (361, 1), (395, 1), (415, 1), (879, 1), (1102, 1), (1157, 1), (1429, 1), (1973, 1), (2248, 1), (2321, 1), (2849, 1), (3017, 1), (3342, 1), (4296, 1), (4299, 1), (4636, 1), (5388, 1), (17157, 1)], [(8, 1), (18, 2), (20, 1), (24, 1), (25, 1), (30, 1), (50, 1), (53, 1), (54, 1), (110, 1), (197, 1), (337, 1), (452, 1), (507, 1), (697, 1), (709, 1), (827, 1), (1973, 1), (2239, 1), (4716, 1), (4941, 1), (17158, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (31, 1), (53, 2), (193, 1), (310, 1), (708, 1), (776, 1), (791, 1), (1159, 1), (1958, 1), (2156, 1), (2178, 1), (2646, 1), (3289, 1), (3993, 1), (9538, 1), (17159, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (25, 1), (37, 1), (54, 1), (122, 1), (197, 1), (347, 1), (414, 1), (419, 1), (459, 1), (711, 1), (1363, 1), (1628, 1), (2241, 1), (12628, 1), (17160, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (91, 1), (126, 1), (505, 1), (983, 1), (1485, 1), (2132, 1)], [(8, 1), (20, 5), (21, 2), (22, 1), (23, 2), (25, 2), (40, 1), (45, 1), (50, 3), (51, 1), (53, 2), (55, 1), (58, 2), (90, 2), (167, 1), (174, 2), (331, 1), (337, 1), (347, 1), (452, 1), (504, 1), (506, 3), (507, 1), (709, 1), (830, 1), (1159, 1), (1580, 1), (1668, 1), (2241, 1), (2694, 1), (2753, 1), (3681, 1), (4721, 1), (6315, 1), (7420, 1), (7462, 1), (8266, 1), (8442, 1), (9575, 1), (10578, 1), (12628, 1), (14064, 1), (17161, 1)], [(1714, 1), (17162, 1)], [(23, 1), (273, 1), (347, 1), (419, 1), (1714, 1), (7226, 1), (17159, 1)], [(7, 1), (8, 1), (10, 1), (18, 1), (19, 3), (20, 5), (21, 2), (22, 2), (25, 5), (31, 2), (37, 3), (50, 2), (53, 6), (58, 2), (65, 1), (72, 1), (84, 1), (90, 2), (108, 1), (117, 1), (193, 1), (232, 1), (293, 2), (306, 1), (328, 2), (347, 1), (415, 1), (419, 5), (420, 1), (426, 1), (428, 1), (459, 2), (708, 1), (782, 1), (1023, 1), (1129, 1), (1354, 1), (1585, 1), (1760, 1), (1778, 1), (2361, 1), (2465, 1), (2581, 1), (2885, 1), (2914, 1), (3378, 1), (3540, 1), (3632, 1), (4120, 1), (4246, 1), (4941, 1), (5478, 1), (5921, 1), (6359, 1), (8534, 1), (8975, 1), (9333, 1), (9910, 1), (10532, 1), (12448, 1), (13141, 1), (16293, 1), (17163, 1), (17164, 1), (17165, 1), (17166, 1)], [(7, 2), (8, 1), (19, 2), (20, 5), (22, 1), (25, 3), (53, 4), (58, 1), (82, 1), (90, 1), (278, 1), (287, 1), (289, 1), (293, 1), (310, 2), (347, 1), (419, 2), (765, 1), (792, 1), (1102, 1), (1458, 1), (1580, 1), (1914, 1), (1958, 1), (1964, 1), (2387, 1), (2432, 1), (2712, 1), (2982, 1), (4251, 1), (4469, 1), (4778, 1), (5708, 1), (7236, 1), (17159, 1), (17167, 1), (17168, 1), (17169, 1)], [(8, 1), (20, 1), (21, 1), (24, 1), (26, 1), (31, 1), (54, 1), (55, 1), (58, 1), (256, 1), (2241, 1), (6546, 1), (13976, 1)], [(8, 1), (20, 3), (22, 2), (23, 1), (54, 3), (58, 2), (65, 1), (82, 1), (83, 1), (90, 2), (108, 1), (233, 1), (256, 1), (288, 1), (526, 1), (530, 1), (1685, 1), (3034, 1), (5568, 1), (6546, 2), (13302, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (256, 1), (278, 1), (347, 1), (530, 1), (2890, 2), (2893, 1), (3096, 1), (3121, 1), (6412, 1), (17170, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (31, 1), (90, 1), (91, 2), (99, 2), (130, 1), (166, 1), (221, 1), (262, 1), (337, 1), (410, 1), (459, 1), (486, 1), (711, 1)], [(8, 1), (20, 1), (50, 1), (65, 1), (85, 1), (99, 3), (278, 1), (450, 1), (516, 1), (777, 1), (869, 1), (1348, 1), (1462, 1), (3308, 1), (8324, 1), (12864, 1), (14085, 1), (17171, 1)], [(8, 1), (20, 2), (21, 1), (22, 2), (24, 1), (31, 1), (53, 2), (54, 1), (58, 1), (65, 1), (71, 1), (90, 1), (117, 1), (244, 1), (256, 1), (347, 1), (372, 1), (531, 1), (711, 1), (759, 1), (1127, 2), (1262, 1), (1308, 1), (1485, 1), (2159, 1), (2876, 1), (14609, 1), (17172, 1), (17173, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (25, 1), (53, 1), (54, 2), (58, 2), (82, 1), (99, 1), (301, 1), (420, 1), (428, 1), (452, 2), (777, 1), (1958, 1), (2126, 1), (2276, 1), (2365, 1), (2464, 1), (4482, 1), (9469, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 4), (23, 1), (25, 4), (31, 1), (37, 3), (45, 1), (50, 2), (53, 3), (54, 1), (65, 1), (109, 2), (117, 1), (227, 1), (229, 1), (232, 1), (244, 1), (273, 1), (276, 1), (301, 1), (709, 1), (1159, 1), (1429, 1), (1931, 1), (1938, 1), (2049, 1), (2066, 1), (2132, 1), (2178, 1), (2241, 1), (2564, 1), (3446, 1), (3476, 1), (3884, 1), (4078, 1), (4533, 1), (4957, 1), (5137, 1), (5669, 1), (7737, 1), (8425, 1), (8439, 1), (9027, 1), (12559, 2), (15179, 1), (17045, 1), (17159, 1)], [(20, 9), (21, 2), (22, 2), (23, 1), (25, 7), (37, 1), (50, 2), (53, 5), (54, 1), (58, 1), (82, 2), (90, 2), (295, 1), (301, 1), (342, 1), (355, 1), (415, 1), (448, 1), (459, 2), (581, 1), (744, 1), (1102, 1), (1122, 1), (1127, 1), (1235, 1), (1429, 1), (1627, 1), (1714, 1), (2019, 1), (2149, 1), (2240, 1), (2337, 1), (3034, 1), (3922, 1), (6546, 1), (6686, 1), (7348, 1), (7681, 1), (8081, 1), (8576, 1), (17045, 1)], [(8, 1), (23, 1), (99, 1), (190, 1), (2145, 1)], [(8, 1), (24, 1), (50, 1), (77, 1), (108, 1), (206, 1), (1196, 1), (1235, 1), (2178, 1), (7323, 1), (7558, 1), (8081, 1), (8635, 1), (11577, 1)], [(8, 1), (20, 1), (23, 1), (37, 1), (50, 1), (58, 1), (95, 1), (172, 1), (193, 1), (217, 1), (225, 1), (420, 1), (903, 1), (1850, 1), (3043, 1), (8635, 1), (11577, 1), (13560, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (22, 2), (24, 1), (25, 3), (31, 2), (51, 1), (53, 3), (77, 1), (95, 1), (96, 1), (109, 1), (124, 1), (228, 1), (237, 1), (283, 1), (450, 1), (459, 1), (534, 1), (711, 1), (1235, 1), (1702, 1), (1824, 1), (2187, 1), (2269, 1), (2481, 1), (2564, 1), (4073, 2), (5679, 1), (8857, 1), (11921, 1), (12973, 1), (15761, 1), (17174, 1), (17175, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (53, 2), (65, 1), (82, 1), (215, 1), (256, 1), (286, 1), (293, 1), (387, 1), (709, 1), (1159, 1), (1235, 2), (1506, 1), (1909, 1), (2089, 1), (5447, 1), (17176, 1)], [(8, 1), (20, 7), (22, 1), (25, 4), (31, 1), (50, 1), (53, 1), (71, 1), (77, 2), (82, 1), (85, 1), (97, 1), (172, 1), (185, 1), (190, 1), (203, 1), (226, 1), (256, 1), (387, 1), (448, 1), (855, 1), (1235, 1), (1597, 1), (1702, 1), (2096, 1), (2178, 1), (2772, 1), (4299, 1), (5526, 1), (5682, 1), (6144, 1), (6416, 1), (7323, 1), (11233, 1), (17177, 1), (17178, 1)], [(7, 1), (8, 1), (20, 4), (23, 2), (31, 1), (50, 1), (53, 2), (58, 1), (71, 1), (97, 1), (203, 1), (212, 1), (281, 1), (410, 1), (531, 1), (846, 1), (1441, 1), (1580, 1), (1644, 1), (2096, 1), (6516, 1), (7192, 1), (8081, 1), (9596, 1), (10599, 1), (13423, 1), (17179, 1), (17180, 1)], [(8, 1), (20, 2), (23, 1), (24, 1), (31, 1), (50, 1), (53, 2), (54, 1), (64, 1), (71, 1), (90, 1), (95, 1), (103, 1), (185, 1), (197, 1), (203, 2), (215, 1), (448, 1), (709, 1), (914, 1), (1041, 1), (1163, 1), (2097, 1), (3415, 1), (4073, 1), (7421, 2), (9256, 1), (10343, 1), (12298, 1), (16068, 1), (17181, 1)], [(7, 1), (23, 1), (31, 1), (50, 1), (53, 1), (54, 2), (58, 1), (64, 1), (66, 1), (90, 1), (185, 1), (269, 1), (3140, 1), (4698, 1), (17182, 1), (17183, 1), (17184, 1), (17185, 1)], [(8, 3), (18, 2), (19, 1), (20, 6), (21, 1), (23, 1), (24, 2), (25, 2), (30, 1), (31, 1), (45, 1), (50, 3), (53, 3), (64, 4), (66, 1), (82, 1), (90, 1), (103, 1), (108, 2), (117, 1), (164, 1), (173, 1), (185, 1), (215, 1), (232, 1), (256, 1), (283, 1), (293, 1), (301, 1), (452, 1), (506, 1), (586, 1), (599, 1), (608, 1), (645, 1), (792, 1), (922, 1), (1163, 1), (1441, 1), (1580, 1), (1627, 1), (1776, 1), (1898, 1), (2371, 1), (2877, 1), (3591, 1), (5288, 1), (5448, 1), (5582, 1), (5886, 1), (6213, 1), (6765, 1), (7064, 1), (9439, 1), (10074, 1), (12568, 2), (17181, 1), (17186, 1), (17187, 1), (17188, 1), (17189, 1), (17190, 2), (17191, 1), (17192, 1), (17193, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 2), (50, 3), (53, 1), (95, 1), (164, 1), (185, 1), (212, 1), (359, 1), (399, 1), (415, 1), (452, 1), (599, 1), (1041, 1), (1281, 1), (1441, 1), (1485, 1), (1607, 1), (1648, 1), (3826, 1), (4073, 1), (6725, 1), (14609, 1), (16100, 1), (17188, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 1), (23, 2), (25, 1), (31, 1), (50, 3), (53, 3), (54, 1), (58, 1), (64, 2), (90, 1), (97, 1), (108, 1), (109, 1), (111, 1), (174, 1), (185, 1), (215, 1), (331, 1), (392, 1), (752, 1), (894, 1), (1163, 2), (1441, 1), (1471, 1), (2224, 1), (4463, 1), (4627, 1), (7187, 2), (7889, 1), (9242, 1), (9285, 1), (12568, 1), (17190, 1), (17194, 1), (17195, 1), (17196, 1), (17197, 1), (17198, 1), (17199, 1)], [(8, 1), (20, 1), (7577, 1), (17200, 1), (17201, 1)], [(8, 1), (50, 1), (6546, 1)], [(8, 1), (20, 1), (7577, 1), (13629, 1), (17201, 1)], [(8, 1), (6016, 1), (13257, 1)], [(8, 1), (20, 1), (7577, 1), (17201, 1), (17202, 1)], [(8, 1), (50, 1), (74, 1), (3891, 1)], [(8, 1), (20, 1), (7577, 1), (17201, 1), (17203, 1)], [(8, 1), (50, 1), (3530, 1)], [(8, 1), (20, 1), (7577, 1), (14521, 1), (17201, 1)], [(8, 1), (50, 1), (1127, 1), (3103, 1)], [(8, 1), (20, 1), (50, 1), (2203, 1), (6008, 1), (17204, 1), (17205, 1)], [(8, 1), (20, 1), (7111, 1), (7577, 1), (17201, 1)], [(8, 1), (7429, 1), (10079, 1), (17139, 1), (17206, 1)], [(8, 1), (20, 1), (7577, 1), (17201, 1), (17207, 1)], [(10, 1), (155, 1), (531, 1), (1040, 1), (1417, 1), (7186, 1), (7429, 1)], [(8, 1), (50, 1), (17203, 1), (17208, 1), (17209, 1)], [(8, 1), (20, 1), (50, 1), (1233, 1), (6064, 1), (17204, 1), (17210, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (31, 2), (50, 1), (53, 3), (55, 1), (77, 1), (82, 1), (195, 1), (201, 1), (214, 1), (293, 1), (671, 1), (724, 1), (1139, 1), (2178, 2), (2959, 1), (2985, 1), (3552, 1), (4296, 1), (4298, 1), (5807, 1), (6064, 1), (7323, 1), (11064, 1), (14712, 1), (17211, 1), (17212, 1), (17213, 1), (17214, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 9), (22, 1), (23, 2), (25, 4), (31, 1), (37, 1), (50, 4), (53, 3), (65, 1), (74, 1), (90, 1), (95, 1), (97, 1), (185, 1), (197, 1), (212, 1), (228, 1), (229, 1), (237, 1), (412, 1), (459, 1), (506, 1), (538, 1), (773, 1), (1127, 1), (1248, 1), (1293, 1), (1342, 1), (1441, 1), (1578, 1), (1580, 1), (2359, 1), (3132, 1), (3557, 1), (3891, 1), (3986, 1), (4023, 1), (4073, 1), (4498, 1), (5742, 1), (5807, 1), (6546, 1), (6693, 1), (8057, 1), (9006, 1), (9207, 1), (10786, 1), (11506, 1), (12284, 1), (17188, 1), (17210, 1), (17215, 1), (17216, 1), (17217, 1), (17218, 1), (17219, 1), (17220, 1)], [(8, 1), (20, 3), (25, 2), (50, 1), (53, 2), (359, 1), (675, 1), (763, 1), (2001, 1), (2184, 1), (6008, 1), (7429, 1), (10079, 1), (11506, 1), (11688, 1), (17206, 1)], [(7, 2), (8, 1), (19, 1), (20, 5), (23, 1), (25, 1), (31, 2), (50, 3), (53, 3), (58, 1), (90, 1), (124, 1), (257, 1), (414, 1), (415, 1), (445, 1), (450, 4), (452, 1), (537, 1), (723, 1), (827, 1), (834, 1), (1102, 1), (1119, 1), (1129, 1), (1139, 1), (1613, 1), (1702, 1), (2175, 1), (3429, 1), (3465, 1), (4051, 1), (4293, 1), (5310, 1), (5543, 1), (7808, 1), (10618, 1), (10970, 1), (11747, 1), (14107, 1), (14151, 2), (17221, 1), (17222, 1), (17223, 1)], [(8, 1), (20, 4), (24, 1), (50, 1), (77, 1), (278, 1), (452, 1), (538, 1), (829, 1), (1233, 1), (6064, 1), (17204, 1), (17210, 1)], [(8, 1), (18, 1), (19, 2), (20, 12), (22, 1), (23, 1), (25, 2), (31, 2), (37, 1), (45, 1), (50, 9), (53, 4), (71, 1), (82, 1), (90, 3), (108, 1), (109, 1), (117, 1), (166, 1), (172, 2), (206, 1), (215, 1), (227, 1), (269, 1), (273, 2), (289, 1), (293, 1), (346, 1), (365, 1), (418, 1), (419, 2), (450, 1), (600, 1), (645, 1), (714, 1), (752, 1), (773, 1), (792, 1), (834, 1), (1129, 1), (1248, 1), (1308, 1), (1441, 2), (1471, 1), (1485, 2), (1488, 1), (1598, 1), (2538, 1), (2820, 1), (2959, 1), (2985, 1), (3053, 1), (3752, 1), (3754, 1), (3909, 1), (4299, 1), (6064, 1), (6089, 1), (7419, 1), (8514, 1), (9053, 1), (9353, 1), (9800, 1), (11473, 1), (14699, 1), (15569, 1), (17188, 1), (17194, 1), (17200, 1), (17203, 1), (17209, 1), (17210, 1), (17224, 1), (17225, 1), (17226, 1), (17227, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (22, 1), (25, 2), (31, 1), (50, 1), (53, 1), (88, 1), (91, 1), (117, 1), (172, 1), (185, 1), (186, 1), (187, 1), (193, 1), (206, 1), (215, 1), (217, 1), (232, 1), (269, 1), (285, 1), (293, 1), (346, 1), (373, 1), (459, 1), (490, 1), (600, 1), (601, 1), (706, 1), (775, 1), (800, 1), (813, 1), (970, 1), (1470, 1), (2178, 1), (2383, 1), (2751, 1), (2959, 1), (2983, 1), (6956, 1), (17210, 1), (17228, 1), (17229, 1)], [(8, 1), (20, 1), (25, 1), (91, 2), (193, 1), (278, 1), (711, 1), (792, 1), (1463, 1), (1742, 1), (6956, 1)], [(8, 1), (19, 2), (20, 4), (22, 2), (25, 3), (31, 2), (45, 1), (53, 4), (54, 1), (55, 1), (58, 1), (65, 1), (71, 2), (84, 1), (185, 1), (193, 1), (240, 1), (281, 1), (285, 1), (301, 1), (317, 1), (373, 1), (452, 1), (601, 1), (706, 1), (832, 1), (885, 1), (1139, 1), (1348, 1), (1361, 1), (1454, 1), (1578, 1), (1800, 1), (1999, 1), (2213, 1), (3411, 1), (4073, 1), (6699, 1), (10592, 1), (11783, 1), (11813, 1), (16011, 1), (17210, 2), (17230, 1), (17231, 1), (17232, 1)], [(8, 1), (19, 1), (22, 2), (25, 1), (50, 1), (51, 1), (53, 2), (82, 1), (90, 2), (111, 1), (124, 1), (172, 1), (217, 1), (225, 1), (233, 1), (268, 1), (293, 1), (301, 1), (418, 1), (459, 1), (531, 1), (1012, 1), (1157, 1), (1235, 1), (1248, 1), (1283, 1), (1441, 1), (1966, 1), (3852, 1), (4347, 1), (5211, 1), (8081, 2), (8975, 1), (12153, 1)], [(8, 1), (18, 1), (20, 5), (31, 1), (50, 2), (53, 1), (56, 1), (58, 1), (85, 2), (99, 1), (193, 1), (202, 1), (259, 1), (273, 1), (286, 1), (420, 1), (504, 1), (527, 1), (531, 1), (581, 1), (709, 1), (711, 1), (1296, 1), (1615, 2), (2178, 1), (3455, 1), (8343, 1)], [(8, 1), (53, 1), (185, 1), (331, 1), (17233, 1), (17234, 1)], [(1544, 1), (17235, 1)], [(8, 1), (31, 1), (53, 1), (126, 1), (17236, 1), (17237, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (31, 2), (45, 1), (50, 2), (53, 2), (111, 1), (172, 1), (281, 2), (448, 1), (756, 1), (1253, 1), (1520, 1), (2160, 1), (2389, 1), (3731, 1), (5065, 1), (5159, 1), (6183, 1), (9926, 1), (12595, 1), (17238, 1), (17239, 1), (17240, 1), (17241, 1), (17242, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (22, 1), (25, 4), (30, 3), (31, 2), (32, 1), (45, 5), (50, 4), (53, 4), (58, 1), (77, 1), (90, 1), (99, 1), (261, 1), (273, 1), (301, 1), (307, 1), (442, 1), (506, 1), (753, 1), (829, 1), (1330, 1), (1702, 1), (2702, 1), (2772, 1), (3154, 1), (3327, 1), (4484, 1), (4976, 1), (5435, 1), (6252, 1), (8612, 1), (10040, 1), (14456, 1), (16622, 1), (17243, 1), (17244, 1), (17245, 1), (17246, 1), (17247, 1), (17248, 1)], [(20, 1), (32, 1), (288, 1), (301, 1), (1593, 1), (1714, 1)], [(18, 1), (19, 1), (20, 3), (31, 1), (50, 1), (53, 3), (58, 1), (77, 1), (90, 1), (95, 1), (99, 1), (175, 1), (410, 1), (1347, 1), (1714, 1), (2137, 1), (3034, 1), (3173, 1), (4073, 1), (6150, 1), (10033, 1), (12017, 1)], [(7, 1), (18, 1), (20, 3), (22, 1), (25, 1), (50, 2), (53, 3), (73, 1), (108, 1), (186, 1), (281, 1), (324, 1), (414, 1), (1714, 1), (1867, 1), (2912, 1), (2971, 1), (5446, 1), (5717, 1), (7226, 1), (7295, 1), (7315, 1), (7329, 1), (8614, 1), (8652, 1), (10682, 1), (17249, 1), (17250, 1)], [(8, 1), (20, 1), (1593, 1), (6936, 1), (17251, 1)], [(18, 3), (20, 1), (65, 2), (95, 1), (99, 1), (108, 1), (215, 1), (263, 1), (324, 1), (405, 1), (414, 1), (1714, 1), (1938, 1), (2064, 1), (2540, 1), (5839, 1), (8813, 1), (14167, 1), (17252, 1), (17253, 1)], [(8, 1), (82, 1), (1874, 1)], [(8, 1), (18, 1), (20, 8), (22, 4), (25, 4), (31, 1), (45, 1), (50, 4), (53, 6), (65, 5), (70, 1), (99, 2), (126, 1), (172, 2), (186, 1), (207, 1), (217, 1), (256, 1), (281, 1), (288, 1), (316, 1), (344, 1), (608, 1), (1487, 1), (1593, 1), (1928, 1), (2537, 2), (2660, 1), (2748, 1), (2879, 1), (3736, 1), (4694, 1), (4753, 1), (4856, 1), (6067, 1), (8990, 1), (9774, 1), (10020, 1), (11139, 1), (11358, 1), (14768, 1), (14957, 1), (16623, 1), (17254, 1), (17255, 1), (17256, 1), (17257, 1), (17258, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (23, 2), (30, 1), (31, 1), (50, 1), (53, 2), (55, 1), (90, 1), (95, 1), (172, 2), (217, 1), (344, 1), (452, 1), (531, 1), (605, 1), (1071, 1), (1348, 1), (1471, 1), (1520, 1), (1936, 1), (2474, 1), (3049, 1), (3172, 1), (9168, 1), (11563, 1), (14485, 1), (17259, 1), (17260, 1)], [(8, 1), (18, 2), (19, 3), (20, 3), (23, 1), (25, 1), (45, 1), (50, 2), (53, 5), (54, 1), (108, 3), (111, 1), (359, 1), (709, 1), (756, 1), (776, 1), (885, 1), (1253, 1), (1362, 1), (1481, 1), (2064, 1), (2208, 1), (2718, 1), (2719, 1), (3121, 1), (5384, 1), (5578, 1), (7340, 1), (12753, 1), (15927, 1), (17261, 1)], [(20, 2), (23, 1), (25, 3), (37, 1), (50, 1), (53, 2), (65, 2), (90, 2), (99, 1), (287, 1), (373, 1), (498, 1), (654, 1), (687, 1), (1580, 1), (1714, 1), (2235, 1), (2640, 1), (2863, 1), (2864, 1), (3439, 1), (3784, 1), (3898, 1), (4298, 1), (6691, 1), (14853, 1), (15927, 1)], [(8, 1), (19, 1), (20, 4), (23, 1), (31, 1), (50, 4), (53, 3), (90, 1), (108, 2), (215, 1), (242, 1), (263, 1), (269, 1), (320, 1), (331, 1), (442, 1), (447, 1), (450, 1), (1282, 1), (1580, 2), (1589, 1), (2658, 1), (2660, 1), (5288, 1), (5839, 1), (6501, 1), (6518, 2), (14848, 1), (17236, 1), (17262, 1), (17263, 1), (17264, 1)], [(8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (23, 1), (45, 2), (50, 3), (53, 3), (54, 1), (55, 1), (65, 3), (72, 1), (82, 1), (84, 1), (96, 1), (109, 1), (193, 3), (286, 1), (365, 1), (420, 1), (452, 1), (609, 1), (632, 1), (709, 1), (827, 1), (1157, 1), (1348, 1), (1596, 1), (1807, 1), (2076, 1), (2920, 1), (5153, 1), (5335, 1), (6196, 1), (7737, 1), (9239, 1), (11568, 1), (12071, 1), (12622, 1), (16495, 1), (17262, 2), (17265, 1), (17266, 1), (17267, 1), (17268, 1), (17269, 1), (17270, 1), (17271, 1)], [(8, 1), (18, 1), (20, 9), (22, 2), (25, 1), (31, 1), (37, 2), (45, 2), (50, 3), (53, 2), (55, 1), (65, 2), (108, 1), (124, 1), (166, 1), (188, 2), (206, 1), (228, 1), (281, 1), (320, 1), (329, 1), (347, 2), (399, 1), (415, 1), (421, 1), (435, 1), (443, 1), (487, 1), (827, 1), (958, 1), (1115, 1), (1161, 1), (1580, 1), (1589, 1), (2202, 1), (2241, 1), (2252, 1), (2553, 1), (2687, 1), (2858, 1), (4473, 1), (4577, 1), (5111, 1), (5159, 1), (5288, 1), (5760, 1), (6191, 1), (6201, 1), (6416, 1), (6661, 1), (7861, 1), (8370, 1), (8938, 1), (13447, 1), (13660, 1), (13895, 1), (14288, 1), (14464, 1), (14917, 1), (14931, 1), (15768, 1), (16321, 1), (17263, 1), (17269, 1), (17272, 1), (17273, 1), (17274, 1)], [(8, 1), (18, 2), (20, 6), (25, 1), (45, 2), (54, 1), (55, 1), (65, 2), (97, 1), (174, 1), (206, 1), (217, 1), (246, 1), (305, 1), (334, 1), (337, 1), (347, 1), (399, 1), (516, 1), (531, 1), (706, 1), (756, 1), (893, 1), (894, 1), (903, 1), (959, 1), (1253, 1), (1559, 1), (1585, 1), (2150, 1), (2428, 1), (2704, 1), (4929, 1), (7131, 1), (9621, 1), (11044, 1), (13149, 1), (13575, 1), (13882, 1), (17275, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (26, 1), (31, 1), (32, 1), (50, 2), (53, 5), (54, 1), (57, 1), (58, 1), (65, 1), (186, 1), (193, 1), (217, 1), (338, 1), (347, 1), (442, 1), (587, 1), (897, 1), (1041, 1), (1130, 1), (1139, 1), (2344, 1), (2986, 1), (3013, 1), (3426, 1), (3479, 1), (3532, 1), (3552, 1), (5036, 1), (5435, 1), (5754, 1), (10751, 1), (12096, 1), (15377, 1), (17269, 1), (17270, 1), (17276, 1), (17277, 1)], [(8, 1), (18, 1), (20, 6), (22, 3), (24, 1), (31, 2), (37, 1), (53, 7), (55, 2), (65, 1), (90, 2), (109, 1), (186, 1), (293, 2), (369, 1), (459, 2), (516, 1), (531, 1), (706, 1), (777, 1), (865, 1), (1041, 1), (1088, 1), (1458, 1), (1466, 1), (1529, 1), (2258, 1), (2466, 1), (2581, 2), (2691, 1), (2847, 1), (2858, 1), (3453, 1), (3533, 1), (4042, 1), (5496, 1), (5710, 1), (5743, 1), (6204, 1), (7917, 1), (8814, 1), (10973, 1), (11067, 1), (11603, 1), (12121, 1), (13742, 1), (15132, 1), (16321, 1), (17266, 1), (17278, 1), (17279, 1), (17280, 1), (17281, 1)], [(8, 1), (18, 1), (54, 1), (122, 1), (1668, 1), (5816, 1)], [(8, 1), (18, 2), (20, 4), (22, 2), (24, 1), (25, 3), (50, 1), (53, 7), (54, 2), (55, 1), (58, 1), (65, 1), (117, 1), (168, 1), (215, 2), (232, 1), (414, 1), (450, 1), (672, 2), (924, 1), (1012, 1), (1071, 1), (1131, 1), (1802, 1), (2100, 1), (2209, 1), (2296, 1), (3072, 1), (4181, 1), (5054, 1), (8394, 1), (11912, 1), (11913, 1), (13235, 1), (13239, 1), (13677, 1), (13904, 1), (14393, 1), (16447, 1), (16888, 1), (17282, 1), (17283, 1), (17284, 1), (17285, 1), (17286, 1)], [(8, 1), (20, 3), (22, 3), (25, 2), (37, 3), (53, 3), (55, 1), (65, 1), (206, 1), (450, 1), (459, 1), (936, 1), (1010, 1), (1552, 1), (1802, 1), (2261, 1), (2849, 1), (5969, 1), (11350, 1), (13981, 1), (17287, 1), (17288, 1), (17289, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 4), (334, 1), (903, 1), (1758, 1), (2383, 1), (3426, 1), (4431, 1), (5197, 1), (11900, 1), (11909, 1), (15803, 1), (17290, 1)], [(20, 1), (247, 1), (1583, 1), (4781, 1), (17286, 1)], [(53, 1), (98, 1), (269, 1), (1714, 1), (3786, 3), (4500, 1), (4632, 1), (10814, 1), (10913, 1), (11920, 1), (17286, 1)], [(58, 1), (96, 1), (830, 1), (1714, 1), (2064, 1), (2558, 1)], [(37, 1), (206, 1), (1714, 1), (2097, 1), (13804, 1), (16873, 1)], [(20, 1), (55, 1), (75, 1), (98, 1), (245, 1), (247, 1), (256, 1), (269, 1), (2034, 1), (3606, 1), (3786, 2), (4841, 1), (5331, 1), (17286, 1)], [(8, 1), (21, 2), (22, 1), (40, 1), (53, 4), (65, 1), (108, 1), (109, 1), (561, 1), (1324, 1), (2209, 1), (2258, 1), (3755, 1), (6116, 1), (9779, 1), (11909, 1), (13235, 1), (13677, 1), (14447, 1), (15238, 1)], [(7, 2), (8, 1), (20, 5), (22, 3), (24, 1), (25, 3), (53, 2), (58, 2), (65, 1), (77, 1), (90, 4), (92, 1), (173, 3), (214, 1), (268, 1), (278, 1), (292, 1), (323, 1), (414, 1), (419, 3), (420, 1), (809, 1), (824, 1), (886, 1), (1170, 1), (1308, 1), (1403, 1), (1686, 1), (3183, 1), (3710, 1), (5081, 1), (5175, 1), (6090, 1), (11900, 1), (13677, 1), (17286, 1), (17291, 2), (17292, 1)], [(8, 1), (31, 1), (37, 1), (58, 1), (77, 1), (260, 1), (286, 1), (293, 1), (6192, 1), (17293, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (53, 3), (90, 1), (109, 1), (214, 2), (399, 1), (602, 1), (654, 1), (834, 1), (922, 1), (2030, 1), (2383, 1), (2391, 1), (2436, 2), (3318, 1), (3384, 1), (5267, 1), (5708, 1), (13051, 1), (17294, 1)], [(8, 1), (172, 1), (217, 1), (13864, 1), (17295, 1), (17296, 1)], [(20, 1), (247, 1), (1686, 1), (2058, 1)], [(8, 1), (20, 3), (22, 1), (31, 1), (37, 1), (50, 1), (53, 1), (56, 1), (71, 2), (108, 1), (117, 1), (185, 1), (232, 1), (293, 1), (334, 1), (830, 1), (897, 1), (4841, 1), (8152, 1), (8441, 1), (12189, 1), (13677, 1), (14355, 1), (15932, 1), (17297, 1)], [(18, 1), (20, 5), (21, 1), (50, 1), (53, 2), (65, 1), (90, 1), (247, 1), (334, 1), (346, 1), (505, 1), (566, 1), (778, 1), (924, 1), (1131, 1), (2324, 1), (2658, 1), (4890, 1), (5435, 1), (6180, 1), (9464, 1), (13677, 1), (17266, 1), (17298, 1)], [(8, 1), (18, 1), (20, 3), (22, 3), (25, 2), (30, 1), (37, 1), (40, 1), (53, 4), (55, 1), (65, 1), (197, 1), (215, 1), (256, 1), (678, 1), (777, 1), (903, 1), (1255, 1), (1377, 2), (1742, 1), (4431, 1), (5435, 1), (10464, 2), (10583, 1), (11017, 1), (11413, 1), (11912, 1), (11913, 1), (13575, 1), (17286, 1), (17298, 1), (17299, 1), (17300, 1), (17301, 1), (17302, 1), (17303, 1)], [(8, 1), (20, 1), (22, 2), (25, 1), (30, 1), (53, 1), (55, 1), (65, 1), (1616, 1), (2478, 2), (4342, 3), (4463, 1), (4578, 1), (6090, 1), (7100, 1), (11089, 1), (17304, 1), (17305, 1), (17306, 1), (17307, 1)], [(8, 1), (18, 1), (20, 4), (23, 2), (25, 2), (50, 1), (53, 4), (55, 1), (90, 1), (95, 1), (109, 1), (185, 1), (215, 1), (320, 1), (346, 1), (347, 1), (420, 1), (447, 1), (453, 1), (531, 2), (644, 1), (726, 1), (743, 1), (1139, 1), (1449, 1), (1801, 1), (2428, 1), (3453, 1), (3506, 1), (3518, 1), (4472, 1), (5700, 1), (5816, 1), (7066, 1), (7300, 1), (8967, 1), (17263, 1), (17274, 1)], [(8, 1), (36, 1), (7059, 1)], [(8, 1), (23, 1), (45, 1), (50, 1), (53, 1), (54, 1), (90, 2), (124, 1), (301, 1), (743, 1), (2369, 1), (2428, 1), (5700, 1), (6492, 1), (10973, 1), (13279, 1)], [(8, 1), (18, 1), (20, 3), (21, 3), (23, 1), (25, 3), (50, 1), (53, 2), (55, 1), (92, 1), (174, 1), (185, 1), (228, 1), (307, 1), (553, 1), (865, 1), (1041, 1), (1459, 1), (2305, 1), (2880, 1), (3192, 1), (3782, 1), (4890, 1), (5435, 1), (5896, 1), (7024, 1), (14827, 1), (15773, 1), (16854, 1), (17266, 1), (17303, 1), (17308, 1), (17309, 1), (17310, 1)], [(8, 1), (20, 1), (22, 1), (23, 2), (25, 1), (53, 1), (54, 1), (58, 1), (85, 1), (109, 1), (301, 1), (626, 1), (1139, 1), (1239, 1), (1525, 1), (1580, 1), (1627, 1), (2224, 1), (2731, 1), (4602, 1)], [(8, 1), (22, 1), (23, 1), (54, 1), (256, 1), (268, 1), (328, 1), (387, 1), (388, 1), (442, 1), (672, 1), (726, 1), (3771, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (53, 1), (65, 1), (124, 1), (388, 1), (506, 1), (776, 1), (1076, 1), (1131, 1), (5162, 1), (5435, 1), (8454, 1), (14212, 1)], [(20, 2), (31, 1), (32, 1), (50, 1), (53, 4), (64, 1), (65, 1), (450, 1), (506, 1), (1178, 1), (1347, 1), (1931, 1), (2667, 1), (3344, 1), (3453, 1), (4549, 1), (5717, 1), (6353, 1), (8122, 1), (9791, 1), (10973, 1)], [(22, 1), (64, 1), (84, 1), (117, 1), (185, 1), (247, 1), (357, 1), (711, 1), (2813, 1), (3176, 1), (6090, 1), (6945, 1), (17311, 1)], [(66, 1), (108, 1), (117, 1), (232, 1), (434, 1), (658, 1)], [(20, 3), (21, 1), (30, 1), (64, 1), (174, 1), (240, 1), (288, 1), (295, 1), (885, 1), (897, 1), (946, 1), (1685, 1), (4939, 1), (10973, 1)], [(8, 1), (18, 1), (20, 2), (21, 2), (22, 1), (23, 1), (25, 2), (53, 1), (55, 1), (65, 1), (90, 1), (91, 1), (117, 1), (229, 1), (232, 1), (301, 1), (334, 1), (399, 1), (415, 1), (450, 1), (687, 1), (704, 1), (711, 1), (939, 1), (1129, 1), (1580, 1), (2323, 1), (2758, 1), (3330, 1), (3415, 1), (3453, 1), (3914, 1), (4563, 1), (6548, 1), (6900, 1), (7272, 1), (8711, 1), (10631, 1), (10753, 1), (17312, 1), (17313, 1), (17314, 1)], [(8, 1), (19, 1), (23, 1), (32, 1), (99, 1), (307, 1), (753, 1), (1456, 1), (5531, 1), (17312, 1)], [(8, 1), (19, 1), (20, 4), (23, 2), (31, 1), (58, 1), (71, 1), (82, 1), (90, 1), (161, 1), (185, 1), (221, 1), (242, 1), (291, 1), (301, 1), (763, 1), (1081, 1), (1196, 1), (4917, 1), (5811, 1), (14792, 1)], [(8, 1), (19, 2), (20, 1), (99, 1), (214, 1), (328, 1), (581, 1), (1580, 1), (4699, 1), (4822, 1), (5435, 1), (8620, 1), (11375, 1), (13477, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (31, 1), (50, 3), (53, 1), (65, 1), (77, 1), (90, 1), (172, 1), (187, 1), (269, 1), (351, 1), (415, 1), (445, 1), (448, 1), (506, 1), (711, 2), (1139, 1), (2096, 1), (2145, 1), (2241, 1), (2593, 1), (2821, 1), (5793, 1), (6373, 1), (8182, 1), (8918, 1), (13423, 1), (17315, 1)], [(18, 1), (20, 3), (23, 1), (31, 3), (50, 2), (53, 4), (64, 1), (66, 1), (90, 1), (96, 1), (111, 1), (172, 2), (711, 1), (756, 1), (1293, 1), (1308, 1), (1999, 1), (2030, 1), (3326, 1), (3633, 1), (4071, 1), (5446, 1), (6561, 1), (11170, 1), (11875, 1), (16204, 1), (17316, 1), (17317, 1), (17318, 1)], [(7, 2), (8, 1), (18, 3), (20, 6), (31, 2), (45, 1), (50, 4), (53, 2), (65, 1), (81, 1), (117, 1), (193, 1), (225, 1), (232, 1), (256, 1), (263, 1), (268, 1), (424, 1), (526, 1), (756, 1), (876, 1), (1167, 1), (1253, 1), (1508, 1), (1580, 1), (1582, 1), (2184, 1), (2593, 1), (4465, 1), (5288, 1), (5435, 1), (5839, 1), (7669, 1), (9028, 1), (17263, 1), (17319, 1), (17320, 1), (17321, 2), (17322, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (53, 1), (97, 1), (187, 1), (206, 1), (281, 1), (359, 1), (418, 1), (450, 1), (459, 1), (959, 1), (1362, 1), (2479, 1), (2757, 1), (3417, 1), (6385, 1), (6561, 1), (8747, 1), (13031, 1), (17323, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (45, 1), (50, 2), (53, 1), (54, 1), (58, 1), (173, 2), (834, 1), (1167, 1), (1582, 1), (1877, 2), (2137, 1), (3250, 1), (5153, 1), (10753, 1), (17263, 1), (17320, 1), (17324, 1)], [(8, 1), (18, 2), (20, 3), (21, 2), (22, 1), (25, 2), (30, 1), (31, 1), (37, 2), (45, 3), (50, 1), (85, 1), (90, 1), (95, 1), (99, 1), (117, 1), (217, 1), (225, 1), (232, 1), (281, 1), (293, 1), (334, 1), (361, 1), (430, 1), (516, 2), (581, 1), (865, 1), (1088, 1), (1167, 1), (2658, 1), (2995, 1), (4123, 1), (5404, 1), (5743, 1), (5986, 1), (8290, 1), (9333, 1), (9703, 1), (9930, 1), (13322, 1), (17320, 1), (17325, 1)], [(8, 1), (18, 2), (19, 1), (22, 1), (25, 2), (45, 2), (50, 2), (55, 1), (65, 1), (71, 1), (190, 1), (193, 1), (214, 1), (281, 1), (448, 1), (632, 1), (1122, 1), (2140, 1), (2472, 1), (3852, 1), (4120, 1), (5367, 1), (7164, 1), (9732, 1), (17326, 1), (17327, 1), (17328, 1), (17329, 1)], [(8, 1), (18, 1), (19, 1), (22, 2), (25, 1), (31, 2), (45, 2), (50, 2), (53, 5), (108, 2), (109, 1), (193, 1), (239, 1), (809, 1), (1167, 1), (1696, 1), (1797, 1), (2009, 1), (2831, 1), (9365, 1), (9634, 1), (9887, 1), (12874, 1), (13394, 1), (15137, 1), (15139, 1), (17320, 1), (17330, 1), (17331, 1), (17332, 1), (17333, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 2), (24, 1), (31, 1), (32, 1), (50, 1), (54, 1), (90, 1), (91, 1), (109, 1), (193, 1), (214, 1), (215, 1), (238, 1), (268, 1), (292, 1), (310, 1), (328, 1), (347, 1), (415, 1), (568, 1), (697, 1), (741, 1), (744, 1), (753, 1), (970, 1), (1069, 1), (1139, 1), (1580, 2), (2168, 1), (3412, 1), (5044, 1), (5255, 1), (5435, 1), (7157, 1), (9027, 1), (17334, 1), (17335, 1), (17336, 1)], [(8, 1), (18, 3), (19, 1), (20, 4), (21, 2), (22, 1), (23, 3), (25, 1), (26, 1), (37, 1), (50, 2), (53, 3), (54, 2), (55, 1), (82, 1), (95, 1), (96, 1), (108, 2), (193, 2), (202, 1), (215, 1), (301, 1), (415, 1), (428, 1), (480, 1), (586, 1), (601, 1), (743, 1), (792, 1), (897, 1), (1149, 1), (1580, 1), (1911, 1), (2137, 2), (2323, 2), (2785, 1), (2866, 1), (3657, 1), (4631, 1), (5407, 1), (6982, 2), (11051, 1), (11313, 1), (12882, 1), (13699, 1), (17337, 1), (17338, 1), (17339, 1)], [(1544, 1), (17340, 1)], [(8, 1), (24, 1), (50, 1), (117, 1), (232, 1), (756, 1), (17341, 1), (17342, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (23, 1), (50, 1), (53, 2), (99, 1), (185, 1), (214, 1), (237, 1), (246, 1), (307, 1), (359, 1), (419, 1), (525, 1), (672, 1), (763, 1), (1177, 1), (1597, 1), (2184, 1), (2324, 1), (2655, 1), (2660, 1), (5435, 1), (11406, 1), (17343, 1), (17344, 1)], [(8, 1), (18, 1), (226, 1), (830, 1), (2153, 1), (5434, 1), (7885, 1), (11406, 1)], [(8, 1), (18, 5), (19, 3), (20, 9), (22, 2), (23, 3), (25, 3), (31, 3), (50, 5), (53, 3), (65, 1), (90, 1), (95, 2), (97, 1), (108, 1), (117, 1), (172, 1), (173, 1), (190, 1), (193, 1), (202, 1), (232, 1), (269, 2), (273, 1), (281, 1), (285, 1), (293, 1), (353, 1), (406, 2), (458, 1), (463, 1), (600, 1), (704, 3), (712, 1), (744, 1), (756, 1), (793, 1), (828, 1), (833, 1), (876, 1), (880, 2), (1041, 1), (1160, 1), (1253, 1), (1293, 1), (1402, 1), (1403, 1), (1580, 1), (1901, 1), (1904, 1), (2036, 1), (2262, 1), (2577, 2), (2872, 1), (2985, 1), (5142, 1), (6383, 1), (6436, 1), (6577, 1), (7306, 1), (7955, 1), (8107, 1), (8533, 1), (8622, 1), (8815, 1), (9353, 1), (13170, 1), (13378, 2), (13410, 2), (14184, 1), (14280, 1), (14841, 1), (15041, 1), (17345, 2), (17346, 1)], [(19, 3), (20, 3), (30, 1), (37, 1), (71, 1), (82, 1), (90, 1), (99, 1), (117, 1), (161, 1), (185, 1), (193, 1), (232, 1), (516, 1), (743, 1), (885, 1), (897, 1), (1714, 1), (1794, 1), (2140, 1), (2660, 1), (6583, 1), (6691, 1), (8174, 1), (10715, 1), (13145, 1), (13889, 1)], [(8, 1), (20, 8), (23, 1), (25, 1), (31, 2), (32, 1), (45, 2), (50, 1), (53, 1), (65, 1), (77, 1), (85, 1), (96, 1), (99, 1), (292, 1), (307, 1), (407, 1), (415, 1), (442, 1), (449, 1), (525, 1), (623, 1), (1088, 1), (1281, 1), (1287, 1), (1909, 1), (2137, 1), (2140, 1), (2148, 1), (2222, 1), (2817, 1), (2831, 1), (3064, 1), (3453, 1), (3831, 1), (6904, 1), (8814, 1), (9179, 1), (11870, 1), (14875, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 4), (22, 2), (25, 1), (31, 2), (50, 3), (53, 5), (58, 3), (71, 1), (77, 2), (82, 2), (99, 2), (111, 1), (185, 1), (190, 1), (203, 1), (214, 1), (215, 4), (239, 1), (293, 1), (301, 1), (324, 2), (407, 1), (410, 1), (419, 2), (452, 1), (527, 1), (741, 1), (829, 1), (861, 1), (914, 1), (1069, 1), (1348, 1), (1487, 1), (1594, 1), (1596, 1), (1909, 1), (2608, 1), (3255, 1), (3330, 1), (3453, 1), (3700, 1), (4074, 1), (4556, 1), (4627, 1), (5435, 1), (7034, 1), (7141, 1), (8871, 1), (8968, 1), (9524, 1), (11422, 1), (14699, 1)], [(8, 1), (20, 3), (22, 2), (25, 1), (26, 1), (31, 3), (53, 4), (55, 1), (65, 1), (90, 1), (95, 1), (108, 1), (117, 1), (172, 1), (173, 1), (174, 1), (193, 1), (203, 1), (217, 1), (232, 1), (269, 1), (293, 1), (359, 1), (406, 2), (410, 1), (418, 1), (420, 1), (505, 1), (672, 1), (704, 1), (756, 1), (1253, 1), (1553, 1), (4491, 1), (5435, 2), (6577, 1), (7051, 1), (7399, 1), (7555, 1), (9837, 1), (13410, 1), (15917, 1), (17262, 1), (17347, 1)], [(8, 1), (20, 2), (25, 1), (45, 1), (50, 1), (65, 2), (78, 1), (185, 1), (418, 1), (448, 2), (457, 1), (626, 1), (704, 3), (790, 1), (1088, 1), (2655, 1), (3319, 1), (3453, 1), (5257, 1), (6577, 1), (16093, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (45, 1), (50, 2), (53, 1), (54, 1), (65, 1), (97, 1), (108, 1), (185, 1), (406, 1), (626, 1), (678, 1), (776, 1), (790, 1), (833, 1), (865, 1), (1041, 1), (1160, 1), (1901, 1), (3696, 1), (11405, 1), (17348, 1), (17349, 1), (17350, 1), (17351, 1)], [(8, 1), (18, 4), (20, 9), (25, 1), (31, 1), (50, 2), (53, 5), (55, 1), (58, 1), (65, 3), (77, 1), (82, 1), (108, 1), (109, 1), (174, 2), (185, 1), (214, 1), (256, 1), (281, 1), (334, 1), (420, 1), (448, 1), (506, 1), (553, 1), (587, 1), (709, 1), (865, 1), (884, 1), (1159, 1), (1239, 1), (1308, 1), (1324, 1), (1328, 1), (1342, 1), (1348, 1), (1448, 1), (1467, 1), (1720, 1), (2694, 1), (2995, 1), (3255, 1), (4526, 1), (5257, 1), (5495, 1), (6165, 1), (6375, 1), (6378, 1), (7039, 1), (7463, 1), (8280, 1), (10472, 1), (11343, 1), (11836, 1), (17352, 1)], [(8, 1), (18, 1), (24, 1), (414, 1), (459, 1), (632, 1), (865, 1), (1760, 1)], [(8, 1), (19, 2), (20, 7), (22, 1), (24, 1), (25, 2), (50, 2), (53, 5), (54, 1), (97, 1), (99, 1), (109, 1), (111, 1), (174, 1), (269, 1), (426, 1), (448, 1), (456, 1), (459, 1), (462, 1), (704, 2), (763, 1), (865, 1), (1057, 1), (1129, 1), (1241, 1), (1892, 1), (2077, 1), (2290, 1), (2323, 1), (3355, 1), (3696, 1), (7051, 1), (7184, 1), (11983, 1), (15917, 1), (17353, 1), (17354, 1)], [(8, 1), (20, 2), (25, 2), (53, 2), (90, 1), (448, 1), (704, 1), (865, 1), (973, 1), (1057, 1), (1308, 1), (1596, 1), (2323, 1), (2344, 1), (2872, 1), (4549, 1), (5963, 1), (14185, 1), (17355, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (37, 1), (359, 1), (406, 1), (450, 1), (711, 1), (1037, 1), (1909, 1), (13645, 1), (17356, 1), (17357, 1)], [(8, 1), (24, 1), (53, 1), (115, 1), (407, 1), (459, 1), (865, 1), (2290, 1)], [(8, 1), (19, 1), (50, 1), (53, 1), (108, 1), (214, 1), (359, 1), (448, 1), (711, 1), (777, 1), (2324, 1), (2748, 1), (2839, 1), (3121, 1), (5887, 1), (10203, 1), (10470, 1), (17236, 1), (17358, 1)], [(7, 1), (8, 1), (20, 3), (23, 1), (31, 1), (45, 1), (50, 2), (53, 4), (55, 1), (71, 1), (77, 1), (82, 1), (90, 1), (95, 1), (164, 1), (166, 1), (185, 1), (206, 1), (256, 1), (268, 1), (293, 1), (359, 1), (865, 1), (1080, 1), (1477, 1), (2049, 1), (2608, 1), (3678, 1), (4465, 1), (5435, 1), (6388, 1), (7399, 1), (8031, 1), (8265, 1)], [(8, 1), (20, 4), (24, 1), (31, 2), (50, 3), (53, 3), (74, 1), (77, 1), (90, 1), (97, 1), (269, 1), (505, 1), (865, 1), (880, 1), (1596, 1), (2290, 1), (3149, 1), (3724, 1), (5233, 1), (10680, 1), (17262, 1)], [(8, 1), (20, 2), (22, 1), (26, 1), (50, 2), (53, 3), (95, 1), (124, 1), (172, 1), (185, 1), (193, 1), (202, 1), (203, 1), (217, 1), (256, 1), (346, 1), (456, 1), (489, 1), (704, 2), (833, 1), (884, 1), (1597, 1), (3703, 1), (3724, 1), (5717, 1), (7399, 1), (9026, 1), (10680, 1), (15917, 1)], [(8, 1), (50, 3), (53, 2), (90, 2), (94, 1), (185, 1), (241, 1), (672, 1), (876, 1), (1308, 1), (1350, 1), (1596, 1), (4667, 1), (5717, 1), (8871, 1)], [(8, 1), (18, 1), (20, 6), (23, 1), (25, 1), (31, 1), (32, 1), (37, 1), (50, 1), (55, 1), (90, 1), (108, 1), (217, 1), (256, 1), (347, 1), (448, 1), (525, 1), (697, 1), (726, 1), (776, 1), (1021, 1), (1122, 1), (1139, 1), (1903, 1), (2828, 1), (3734, 1), (4058, 1), (4856, 1), (5495, 1), (10472, 1), (13378, 1), (16625, 1)], [(18, 1), (20, 4), (22, 1), (23, 1), (25, 2), (31, 1), (50, 1), (53, 2), (108, 1), (124, 1), (226, 1), (247, 1), (256, 2), (531, 1), (726, 1), (1520, 1), (2184, 1), (3136, 1), (3264, 1), (4484, 1), (4718, 1), (5030, 1), (5811, 1), (8062, 1), (9179, 1), (9476, 1), (11313, 1), (14851, 1)], [(7, 1), (8, 1), (19, 2), (20, 5), (23, 1), (25, 1), (31, 1), (45, 1), (95, 1), (108, 1), (185, 2), (236, 1), (584, 1), (645, 1), (777, 1), (815, 1), (893, 1), (897, 1), (924, 1), (1347, 1), (1823, 1), (4004, 1), (5385, 1), (5405, 1), (5435, 1), (5816, 1), (6671, 1), (8818, 1), (10794, 1), (11180, 1), (11499, 1), (17359, 1)], [(8, 1), (1165, 1)], [(8, 1), (20, 1), (22, 2), (25, 1), (29, 1), (31, 1), (45, 1), (50, 2), (53, 4), (71, 1), (85, 1), (95, 1), (365, 1), (388, 1), (414, 1), (420, 1), (581, 1), (894, 1), (1308, 2), (2162, 1), (2625, 1), (3264, 1), (3986, 1), (4491, 1), (7399, 1), (7830, 1), (11258, 1), (15086, 1), (17360, 1), (17361, 1), (17362, 1)], [(8, 1), (53, 1), (301, 1), (10472, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (53, 1), (55, 1), (58, 1), (77, 1), (90, 1), (186, 1), (286, 1), (414, 1), (419, 1), (442, 1), (454, 1), (581, 1), (697, 1), (1012, 1), (1041, 1), (2862, 1), (5528, 1), (5880, 1), (9220, 1)], [(8, 1), (1165, 1), (4960, 1), (13881, 1)], [(8, 1), (20, 1), (32, 1), (58, 2), (117, 2), (232, 2), (289, 1), (301, 1), (516, 1), (3181, 1), (3942, 1), (17363, 1), (17364, 1)], [(8, 1), (20, 1), (25, 1), (31, 2), (37, 1), (53, 1), (82, 1), (97, 1), (214, 2), (329, 1), (351, 1), (458, 1), (3657, 1), (4851, 1), (5435, 1), (15132, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 1), (334, 1), (414, 1), (516, 1), (530, 1), (694, 1), (1144, 1), (2356, 1), (3378, 1), (4081, 1), (8266, 1), (9848, 1), (11371, 1), (15047, 1), (15650, 1), (17365, 1)], [(8, 1), (18, 1), (20, 3), (24, 1), (25, 1), (31, 2), (77, 1), (124, 1), (269, 1), (404, 1), (704, 1), (833, 2), (880, 1), (1160, 1), (1248, 1), (1901, 1), (2290, 1), (10680, 1), (11429, 1)], [(8, 1), (18, 1), (20, 3), (24, 1), (25, 1), (31, 1), (53, 2), (65, 1), (77, 1), (418, 1), (428, 1), (516, 1), (623, 1), (778, 1), (1139, 1), (1308, 1), (1324, 1), (1459, 1), (1901, 1), (2323, 1), (3942, 1), (4638, 1), (7564, 1), (10472, 1), (11429, 1), (12864, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (23, 1), (53, 1), (54, 1), (55, 1), (90, 1), (91, 1), (117, 1), (217, 1), (232, 1), (256, 1), (323, 1), (328, 1), (347, 2), (354, 1), (448, 1), (459, 1), (482, 1), (711, 1), (772, 1), (884, 1), (1128, 1), (1702, 1), (2706, 1), (3149, 1), (4321, 1), (8797, 1), (13161, 1), (16524, 1), (17366, 1)], [(8, 1), (34, 1), (50, 2), (53, 2), (90, 1), (117, 1), (193, 1), (232, 1), (260, 1), (288, 1), (354, 1), (419, 1), (428, 1), (487, 1), (659, 1), (672, 1), (708, 1), (1961, 1), (2344, 1), (3677, 1), (4789, 1), (7564, 1), (10472, 1)], [(1544, 1), (17367, 1)], [(8, 1), (24, 1), (756, 1), (17368, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (45, 1), (53, 1), (95, 1), (222, 1), (407, 1), (525, 1), (678, 1), (4549, 1), (5249, 1), (5407, 1), (9594, 1), (10203, 1), (13730, 1), (17369, 1), (17370, 1)], [(8, 1), (20, 1), (30, 1), (82, 1), (99, 2), (166, 1), (299, 1), (17371, 1)], [(8, 1), (31, 1), (50, 1), (71, 1), (173, 1), (639, 1), (743, 1), (1308, 1), (2178, 1), (3826, 1), (7726, 1), (9571, 1), (14690, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 2), (30, 1), (31, 2), (45, 2), (50, 4), (53, 4), (65, 4), (109, 1), (173, 1), (334, 1), (342, 1), (410, 1), (460, 1), (516, 1), (623, 1), (694, 1), (709, 1), (711, 1), (777, 1), (1070, 1), (1118, 1), (1139, 1), (1239, 1), (1308, 1), (1324, 1), (1458, 1), (2064, 1), (2145, 1), (2658, 1), (4912, 1), (5314, 1), (10033, 1), (11971, 1), (12302, 1), (13606, 1), (13821, 1), (14660, 1), (17372, 1), (17373, 1), (17374, 1)], [(8, 1), (19, 3), (20, 2), (22, 1), (23, 1), (25, 1), (30, 1), (31, 1), (45, 2), (50, 2), (53, 3), (58, 1), (82, 1), (85, 1), (172, 1), (185, 1), (210, 1), (506, 1), (1021, 1), (1149, 1), (3178, 1), (4856, 1), (6276, 1), (7019, 1), (11404, 1), (12938, 1), (13849, 1), (13881, 1), (14642, 1), (15022, 1), (16622, 1), (17375, 1), (17376, 1), (17377, 1), (17378, 1), (17379, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (30, 2), (31, 2), (32, 1), (45, 1), (50, 2), (58, 1), (239, 1), (407, 1), (503, 1), (531, 1), (1287, 1), (2222, 1), (4020, 1), (4296, 1), (7375, 1), (8714, 1), (11870, 1), (13215, 1), (17380, 1), (17381, 1), (17382, 1), (17383, 1)], [(8, 1), (18, 1), (19, 2), (21, 2), (53, 1), (71, 1), (111, 1), (161, 1), (210, 1), (415, 1), (531, 1), (598, 1), (601, 1), (744, 1), (833, 1), (2187, 1), (3804, 1), (5864, 1), (6439, 1), (8913, 1), (16022, 1), (17384, 1), (17385, 1), (17386, 1)], [(8, 1), (20, 1), (53, 2), (77, 2), (195, 1), (210, 1), (301, 1), (420, 1), (2411, 1), (6437, 1)], [(8, 1), (19, 2), (23, 1), (50, 1), (53, 2), (185, 1), (242, 1), (1487, 1), (2436, 1), (11007, 1), (17387, 1), (17388, 1), (17389, 1), (17390, 1)], [(7, 1), (8, 1), (18, 3), (19, 3), (20, 3), (22, 1), (23, 1), (30, 1), (31, 1), (50, 2), (53, 1), (58, 2), (71, 2), (90, 3), (95, 1), (108, 1), (117, 1), (124, 1), (172, 1), (206, 1), (217, 1), (225, 1), (226, 1), (232, 1), (233, 1), (269, 1), (331, 1), (506, 1), (516, 1), (525, 1), (692, 1), (1275, 1), (1632, 1), (1877, 1), (2196, 1), (2240, 1), (2839, 2), (3416, 1), (6105, 1), (6367, 1), (7533, 1), (7576, 1), (7690, 1), (11726, 1), (12569, 1), (13254, 1), (13266, 1), (13462, 1), (17391, 1), (17392, 1), (17393, 1), (17394, 1), (17395, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (55, 1), (58, 1), (90, 1), (256, 1), (269, 1), (336, 1), (450, 1), (531, 1), (830, 1), (966, 1), (1102, 1), (1470, 1), (2669, 1), (3161, 1), (3183, 1), (3756, 1), (5058, 1), (16248, 1)], [(20, 3), (50, 1), (55, 1), (185, 1), (210, 1), (506, 1), (897, 1), (1347, 1), (1714, 1), (16943, 1)], [(8, 1), (428, 1), (1580, 1), (6772, 1), (12712, 1), (15641, 1), (17396, 1), (17397, 1)], [(18, 1), (117, 1), (232, 1), (247, 1), (248, 1), (506, 1), (13679, 1), (17398, 1)], [(108, 1), (117, 1), (247, 1), (248, 1), (506, 1), (531, 1), (15110, 1), (17399, 1), (17400, 1)], [(20, 1), (247, 1), (1580, 1), (1867, 1), (3468, 1), (17401, 1)], [(8, 1), (19, 2), (20, 12), (25, 6), (31, 1), (37, 2), (50, 6), (53, 6), (55, 2), (82, 1), (168, 1), (175, 1), (185, 1), (187, 1), (210, 1), (215, 1), (223, 1), (286, 1), (414, 1), (450, 1), (504, 1), (506, 2), (600, 1), (702, 1), (711, 1), (885, 1), (1041, 1), (1580, 1), (1998, 1), (2039, 1), (2337, 1), (2507, 1), (2657, 1), (2985, 2), (3132, 1), (3763, 1), (4296, 1), (5247, 1), (8290, 1), (8831, 1), (9325, 1), (9793, 1), (11465, 1), (15036, 1), (17402, 1), (17403, 1), (17404, 1), (17405, 1), (17406, 1), (17407, 1)], [(18, 1), (20, 2), (25, 2), (50, 1), (53, 1), (77, 1), (247, 1), (293, 1), (829, 1), (1751, 1), (2153, 1), (7502, 1), (14273, 1), (17370, 1)], [(8, 1), (19, 1), (525, 1), (751, 1), (1041, 1), (11424, 1)], [(8, 1), (18, 2), (20, 1), (99, 1), (164, 1), (203, 1), (553, 1), (678, 2), (6710, 1), (9545, 1), (17370, 1)], [(8, 1), (20, 1), (25, 1), (40, 1), (53, 1), (58, 1), (71, 2), (172, 1), (228, 1), (323, 1), (328, 1), (334, 1), (414, 1), (581, 1), (1102, 1), (1165, 1), (3333, 1), (4806, 1), (6516, 1), (11479, 1), (17385, 1)], [(7, 1), (8, 1), (18, 3), (20, 7), (23, 2), (25, 3), (31, 1), (37, 1), (50, 3), (53, 1), (65, 2), (90, 1), (172, 1), (215, 1), (217, 1), (281, 1), (284, 1), (334, 1), (386, 1), (396, 1), (441, 1), (1342, 1), (1580, 2), (2373, 1), (2669, 1), (4296, 1), (6913, 1), (7512, 1), (8336, 1), (8807, 1), (11748, 1), (15910, 1), (17196, 1), (17368, 1), (17408, 1), (17409, 1), (17410, 1), (17411, 1), (17412, 1), (17413, 1), (17414, 1)], [(7, 1), (8, 1), (19, 3), (20, 7), (22, 2), (23, 1), (25, 1), (31, 2), (32, 1), (37, 1), (50, 2), (53, 12), (69, 1), (72, 1), (77, 1), (90, 1), (96, 1), (97, 1), (111, 1), (161, 1), (172, 1), (193, 1), (214, 3), (233, 1), (246, 1), (328, 1), (396, 1), (413, 1), (670, 1), (697, 1), (834, 1), (894, 1), (1470, 1), (1529, 1), (2036, 1), (2172, 1), (2344, 1), (2731, 1), (2914, 1), (3326, 1), (3419, 1), (3727, 1), (4694, 1), (4980, 2), (5248, 1), (5983, 1), (6143, 1), (6941, 1), (7157, 1), (8134, 1), (9226, 1), (9508, 1), (9867, 1), (11438, 1), (11782, 1), (13548, 1), (13900, 1), (14712, 1), (15647, 1), (17368, 1), (17415, 1), (17416, 2), (17417, 1), (17418, 2), (17419, 1), (17420, 1), (17421, 1)], [(8, 1), (19, 3), (20, 2), (31, 1), (46, 1), (50, 2), (53, 1), (91, 2), (161, 1), (214, 1), (215, 1), (331, 1), (450, 1), (711, 1), (1102, 1), (1311, 1), (1342, 1), (1598, 1), (1824, 1), (1909, 1), (1931, 1), (2084, 1), (3056, 1), (3213, 1), (4296, 1), (4416, 1), (11605, 1), (15737, 1), (17094, 1), (17419, 1), (17422, 1)], [(8, 1), (20, 11), (25, 3), (31, 5), (50, 4), (53, 3), (65, 1), (172, 1), (187, 1), (193, 2), (217, 1), (388, 1), (442, 1), (450, 1), (607, 1), (609, 1), (894, 1), (2148, 1), (2593, 1), (2716, 1), (3763, 1), (5142, 1), (5368, 1), (5891, 1), (5905, 1), (7517, 1), (7572, 1), (8199, 1), (10152, 1), (11170, 1), (12044, 1), (17323, 1), (17419, 1), (17423, 1), (17424, 1), (17425, 1), (17426, 1)], [(8, 1), (18, 2), (20, 3), (22, 1), (25, 1), (31, 5), (50, 4), (53, 6), (54, 1), (69, 1), (77, 1), (97, 1), (117, 1), (124, 1), (184, 1), (232, 1), (281, 1), (298, 1), (334, 1), (421, 1), (442, 1), (744, 1), (1140, 1), (1342, 1), (1414, 1), (1485, 1), (1596, 1), (2425, 1), (2558, 1), (3453, 1), (3495, 1), (4602, 1), (7375, 1), (9631, 1), (16453, 1), (17427, 1), (17428, 1), (17429, 1), (17430, 1), (17431, 1), (17432, 2)], [(8, 1), (19, 2), (172, 1), (206, 1), (448, 1), (1269, 1), (1311, 1), (1362, 1), (3041, 1), (5891, 1), (7109, 1), (8648, 1), (13423, 1)], [(7, 1), (8, 1), (20, 3), (31, 2), (37, 1), (50, 3), (53, 4), (54, 1), (69, 1), (301, 1), (381, 1), (407, 1), (414, 1), (531, 1), (587, 1), (894, 1), (1140, 1), (1348, 1), (2553, 1), (4556, 1), (5435, 1), (5897, 1), (5983, 1), (6143, 1), (8199, 1), (10742, 1), (11605, 1), (17433, 1), (17434, 1)], [(8, 1), (24, 1), (31, 1), (50, 2), (53, 3), (58, 1), (65, 1), (108, 1), (269, 1), (442, 1), (1502, 1), (1977, 1), (2354, 1), (2456, 1), (3729, 1), (8200, 1), (9561, 1), (16176, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (25, 1), (50, 1), (53, 1), (58, 2), (81, 1), (281, 1), (692, 1), (5837, 1), (7138, 1), (8199, 1), (8875, 1), (15395, 1), (17435, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (50, 2), (53, 2), (54, 1), (58, 2), (85, 1), (90, 1), (95, 1), (185, 1), (301, 1), (365, 1), (442, 1), (448, 1), (771, 1), (827, 1), (1102, 1), (1235, 1), (1311, 1), (1519, 1), (2406, 1), (4575, 1), (5446, 1), (7534, 1), (8673, 1), (15395, 1), (17436, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (26, 1), (31, 1), (45, 1), (50, 3), (53, 4), (90, 1), (95, 1), (126, 1), (164, 1), (185, 1), (256, 1), (884, 1), (1458, 2), (2608, 1), (2666, 1), (4366, 1), (4491, 1), (5435, 1), (6242, 1), (7399, 1), (9816, 1), (11153, 1), (11766, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (31, 2), (45, 1), (50, 3), (53, 5), (58, 1), (85, 1), (97, 1), (172, 1), (241, 1), (269, 1), (307, 1), (381, 1), (407, 1), (670, 1), (1035, 1), (3431, 1), (4297, 1), (4402, 1), (5332, 1), (5878, 1), (7109, 1), (8673, 1), (9236, 1), (14172, 1), (17437, 1), (17438, 1), (17439, 1), (17440, 1), (17441, 1)], [(7, 2), (8, 1), (18, 1), (19, 4), (20, 10), (22, 3), (23, 2), (25, 1), (37, 1), (50, 1), (53, 4), (55, 1), (65, 1), (71, 1), (75, 1), (90, 1), (108, 1), (172, 1), (193, 1), (206, 1), (210, 1), (233, 1), (242, 1), (256, 1), (365, 1), (399, 1), (413, 1), (414, 1), (415, 1), (450, 1), (581, 1), (626, 1), (645, 1), (678, 1), (693, 1), (800, 1), (865, 1), (922, 1), (1342, 3), (1392, 1), (2191, 1), (2270, 1), (2911, 1), (3013, 1), (3417, 1), (4612, 1), (5204, 1), (5816, 1), (7157, 1), (7356, 1), (8529, 1), (8687, 1), (9192, 1), (11851, 1), (12553, 1), (14183, 1), (14500, 1), (15132, 1), (17323, 1), (17417, 1), (17442, 1), (17443, 1), (17444, 1), (17445, 1), (17446, 1)], [(8, 1), (20, 4), (22, 2), (23, 1), (25, 2), (31, 1), (32, 1), (37, 1), (50, 3), (53, 2), (54, 1), (56, 1), (75, 1), (82, 1), (96, 1), (117, 3), (185, 1), (214, 1), (232, 3), (281, 1), (325, 1), (375, 1), (405, 1), (420, 1), (428, 1), (506, 1), (531, 1), (777, 1), (834, 1), (1119, 1), (1240, 1), (1266, 1), (2320, 1), (2322, 1), (2424, 1), (2681, 1), (3491, 1), (5312, 1), (7206, 1), (7577, 1), (7771, 1), (7955, 1), (9480, 1), (11430, 1), (12613, 1), (13493, 1), (16572, 1), (17447, 1), (17448, 1), (17449, 1), (17450, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (45, 1), (50, 2), (53, 5), (54, 1), (56, 1), (95, 1), (117, 1), (173, 1), (232, 1), (447, 1), (878, 1), (1229, 1), (1656, 1), (2157, 1), (2543, 1), (2615, 1), (2985, 1), (3952, 1), (4296, 1), (17451, 1)], [(18, 1), (210, 1), (516, 1), (581, 1), (1714, 1), (2010, 1), (3852, 1), (17452, 1)], [(8, 1), (53, 1), (117, 2), (232, 2), (347, 1), (833, 1), (1021, 1), (2259, 1), (4531, 1), (6315, 1), (17453, 1), (17454, 1)], [(8, 1), (18, 1), (65, 1), (86, 1), (675, 1), (1858, 1), (17455, 1)], [(8, 1), (19, 1), (23, 1), (55, 1), (1122, 1), (1170, 1), (1354, 1), (5158, 1), (17456, 1)], [(8, 1), (20, 4), (23, 1), (37, 2), (50, 2), (53, 2), (65, 1), (95, 1), (97, 1), (185, 1), (193, 1), (203, 1), (214, 1), (217, 1), (242, 1), (307, 1), (337, 1), (777, 1), (1342, 1), (1477, 1), (1498, 1), (1899, 1), (2179, 1), (3740, 1), (4370, 1), (4600, 1), (9236, 1), (11297, 1), (15316, 1), (17457, 1), (17458, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (31, 2), (45, 3), (50, 2), (53, 2), (65, 1), (69, 1), (70, 1), (82, 1), (91, 1), (108, 1), (169, 1), (185, 1), (210, 1), (212, 1), (225, 1), (246, 1), (256, 1), (281, 1), (301, 1), (419, 1), (531, 1), (675, 1), (723, 1), (1656, 1), (3808, 1), (4238, 1), (5202, 1), (7517, 1), (7599, 1), (7751, 1), (8918, 1), (11498, 1), (12119, 1), (12969, 1), (14042, 1), (17381, 1), (17426, 1), (17459, 1), (17460, 1), (17461, 1), (17462, 1), (17463, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (25, 2), (31, 1), (50, 3), (53, 5), (54, 1), (281, 1), (328, 1), (334, 1), (359, 1), (414, 1), (448, 1), (457, 1), (531, 1), (609, 1), (1157, 1), (3046, 1), (3417, 1), (4853, 1), (4980, 1), (5036, 1), (5878, 1), (5952, 1), (7558, 1), (11010, 1), (13235, 1), (13245, 1), (13393, 1), (15052, 1), (15091, 1), (17464, 1), (17465, 1), (17466, 1), (17467, 1), (17468, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (50, 1), (51, 1), (54, 2), (90, 1), (91, 1), (210, 1), (215, 1), (307, 1), (328, 1), (399, 1), (679, 1), (1100, 1), (4347, 1), (11762, 1), (12432, 1), (17468, 1), (17469, 1), (17470, 1)], [(7, 1), (8, 1), (20, 3), (31, 1), (45, 1), (50, 2), (51, 1), (53, 4), (65, 1), (71, 1), (95, 1), (203, 1), (215, 1), (229, 1), (310, 1), (328, 1), (753, 1), (2265, 1), (2847, 1), (3043, 1), (3680, 1), (3970, 1), (4417, 1), (5622, 1), (7751, 1), (8650, 1), (11131, 1), (11787, 1), (16985, 1), (17471, 1), (17472, 1), (17473, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (50, 3), (53, 2), (64, 1), (65, 2), (90, 1), (97, 1), (108, 1), (109, 1), (172, 1), (186, 1), (214, 2), (281, 1), (353, 1), (395, 1), (396, 1), (423, 1), (424, 1), (569, 1), (632, 1), (711, 1), (756, 1), (893, 1), (1118, 1), (1348, 1), (4473, 1), (10664, 1), (16166, 1), (17474, 1), (17475, 1), (17476, 1)], [(7, 2), (8, 1), (18, 1), (20, 2), (24, 1), (53, 1), (58, 1), (90, 1), (268, 1), (281, 1), (332, 1), (581, 1), (654, 1), (756, 1), (983, 1), (3117, 1), (4778, 1), (5036, 1), (6376, 1), (7088, 1), (7096, 1), (8875, 1), (17477, 1), (17478, 1)], [(8, 1), (20, 3), (25, 1), (50, 2), (53, 5), (77, 1), (90, 2), (117, 1), (214, 1), (281, 1), (301, 1), (328, 1), (395, 1), (396, 1), (414, 1), (418, 1), (420, 1), (428, 1), (573, 1), (632, 1), (711, 1), (974, 1), (2365, 1), (2906, 1), (3409, 1), (9745, 1), (16166, 1), (17479, 1), (17480, 1), (17481, 1)], [(7, 1), (8, 1), (18, 4), (20, 3), (50, 2), (53, 2), (55, 1), (71, 1), (97, 2), (108, 1), (117, 2), (232, 2), (281, 2), (406, 1), (530, 1), (531, 2), (535, 1), (756, 1), (1041, 1), (1072, 1), (1143, 1), (1596, 1), (2515, 1), (3422, 1), (4062, 1), (4264, 1), (5089, 1), (5358, 1), (7408, 1), (8102, 1), (15151, 1), (16367, 1), (17482, 1), (17483, 1), (17484, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (19, 1), (23, 1), (58, 1), (77, 1), (106, 1), (172, 1), (233, 1), (307, 1), (328, 1), (726, 1), (828, 1), (2490, 1), (3473, 1), (8650, 1), (16985, 1), (17484, 1), (17485, 1)], [(7, 1), (18, 1), (19, 1), (20, 4), (25, 1), (50, 2), (53, 4), (54, 1), (66, 1), (82, 1), (90, 2), (109, 1), (117, 1), (185, 1), (193, 1), (323, 1), (426, 1), (448, 1), (625, 1), (755, 1), (756, 1), (800, 1), (1075, 1), (1685, 1), (2258, 1), (4473, 1), (7027, 2), (7595, 1), (10183, 1), (16166, 2), (17486, 1), (17487, 1), (17488, 1), (17489, 1)], [(8, 1), (18, 2), (20, 4), (23, 1), (25, 2), (50, 1), (53, 1), (71, 1), (99, 3), (185, 1), (190, 1), (328, 1), (359, 1), (504, 1), (756, 1), (3413, 1), (3810, 1), (5064, 1), (5343, 1), (5874, 1), (12701, 1), (14712, 1), (16166, 1)], [(1544, 1), (17490, 1)], [(36, 1), (53, 1), (117, 1), (232, 1), (756, 1), (1683, 1), (1714, 1), (8726, 1), (9929, 1), (17491, 1), (17492, 1), (17493, 1)], [(8, 1), (20, 6), (31, 1), (45, 2), (50, 3), (53, 4), (58, 1), (65, 1), (71, 1), (82, 1), (109, 2), (173, 1), (174, 1), (185, 1), (210, 1), (215, 1), (223, 1), (225, 1), (281, 1), (310, 1), (434, 1), (490, 1), (525, 1), (706, 1), (830, 1), (897, 1), (2248, 1), (3036, 1), (3416, 1), (4652, 1), (8124, 1), (8125, 1), (13303, 1), (17494, 1), (17495, 1), (17496, 1), (17497, 1)], [(8, 1), (10, 1), (18, 1), (19, 3), (20, 2), (31, 4), (50, 3), (53, 4), (82, 1), (90, 2), (169, 1), (187, 2), (214, 2), (246, 1), (256, 1), (281, 1), (301, 1), (361, 1), (419, 1), (424, 1), (645, 1), (782, 1), (834, 3), (876, 1), (894, 2), (1041, 2), (1308, 1), (3149, 1), (3313, 1), (4296, 1), (4525, 1), (6048, 1), (7157, 1), (7375, 1), (8134, 1), (8964, 2), (9053, 1), (9595, 1), (9621, 1), (9867, 1), (15801, 1), (17416, 2), (17418, 1), (17498, 1), (17499, 1)], [(7, 1), (8, 1), (20, 2), (25, 1), (31, 3), (37, 1), (53, 5), (54, 1), (65, 1), (77, 1), (90, 1), (187, 1), (269, 1), (406, 1), (704, 1), (833, 1), (880, 1), (1160, 1), (1348, 1), (1824, 1), (2344, 1), (3319, 1), (4059, 1), (4627, 1), (5435, 1), (6577, 1), (7517, 1), (8199, 1), (17426, 1), (17500, 1)], [(8, 1), (18, 1), (20, 2), (50, 1), (53, 2), (65, 2), (90, 1), (95, 1), (108, 1), (172, 1), (182, 1), (418, 1), (419, 1), (620, 1), (704, 1), (829, 1), (2222, 1), (2813, 1), (5148, 1), (5435, 1), (6577, 1), (8789, 1), (13170, 1), (17501, 1)], [(8, 1), (18, 1), (20, 2), (23, 1), (50, 1), (53, 1), (90, 1), (117, 1), (172, 2), (174, 1), (193, 1), (217, 1), (232, 1), (331, 1), (396, 1), (414, 1), (704, 1), (707, 1), (828, 1), (1237, 1), (1253, 1), (1342, 1), (1471, 1), (2030, 1), (4560, 1), (5833, 1)], [(20, 2), (22, 1), (31, 1), (37, 1), (50, 2), (53, 2), (58, 2), (71, 2), (82, 2), (90, 2), (117, 1), (172, 1), (187, 1), (214, 1), (232, 1), (281, 1), (301, 1), (531, 1), (605, 1), (711, 1), (830, 2), (834, 1), (876, 1), (1342, 1), (1529, 1), (1667, 1), (1714, 1), (2361, 1), (4296, 1), (4337, 1), (7506, 1), (9867, 1), (15599, 1), (17496, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (50, 1), (53, 2), (203, 1), (212, 1), (214, 1), (215, 1), (222, 1), (293, 1), (419, 2), (504, 1), (744, 1), (2282, 1), (4697, 1), (7679, 1), (8645, 1), (8674, 1), (9866, 1), (17502, 1)], [(20, 1), (21, 1), (25, 2), (31, 1), (50, 4), (83, 1), (90, 1), (97, 1), (247, 1), (286, 1), (396, 2), (398, 1), (406, 1), (434, 1), (456, 1), (525, 1), (672, 1), (704, 1), (828, 1), (5560, 1), (8497, 1), (8674, 1), (9095, 1), (14523, 1), (15917, 1), (17503, 1), (17504, 1), (17505, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (20, 4), (22, 1), (25, 3), (31, 1), (50, 3), (53, 2), (65, 1), (77, 1), (90, 1), (111, 1), (117, 1), (169, 1), (193, 1), (232, 1), (260, 1), (269, 1), (310, 1), (331, 1), (396, 1), (412, 1), (419, 1), (460, 1), (463, 1), (526, 1), (704, 1), (828, 2), (1150, 1), (1248, 1), (2875, 1), (5257, 1), (6923, 1), (8519, 1), (8645, 1), (8891, 1), (17506, 1), (17507, 1), (17508, 1), (17509, 1), (17510, 1), (17511, 1), (17512, 1), (17513, 1)], [(8, 1), (10, 1), (20, 4), (25, 1), (31, 2), (45, 2), (50, 2), (53, 3), (65, 1), (187, 1), (193, 1), (269, 1), (310, 1), (331, 1), (452, 1), (456, 1), (608, 1), (704, 1), (756, 1), (782, 1), (828, 2), (1166, 1), (1248, 1), (2567, 1), (3363, 1), (3514, 1), (4435, 1), (4631, 1), (5257, 1), (6160, 1), (8668, 1), (9110, 1), (11398, 1), (17514, 1)], [(8, 3), (54, 1), (126, 1), (185, 1), (215, 1), (293, 1), (331, 1), (467, 1), (608, 1), (1282, 1), (12312, 1), (13283, 1)], [(161, 1), (190, 1), (206, 1), (301, 1), (1714, 1), (2048, 1), (3210, 1), (3413, 1)], [(8, 1), (1165, 1)], [(8, 1), (19, 1), (24, 1), (31, 1), (45, 1), (50, 1), (65, 1), (77, 1), (95, 1), (117, 1), (215, 2), (232, 1), (361, 1), (1342, 1), (3269, 1), (8674, 1), (17515, 1)], [(8, 1), (10, 1), (18, 1), (19, 1), (20, 2), (23, 2), (30, 1), (40, 1), (54, 1), (77, 1), (124, 1), (173, 1), (190, 1), (287, 1), (293, 1), (331, 1), (504, 1), (782, 1), (833, 1), (885, 1), (1139, 1), (1297, 1), (2145, 1), (3413, 1), (8674, 1)], [(7, 1), (8, 1), (18, 1), (20, 9), (22, 2), (23, 2), (25, 3), (31, 5), (37, 2), (45, 1), (50, 5), (53, 8), (54, 1), (58, 1), (65, 2), (70, 1), (77, 1), (82, 3), (90, 4), (95, 1), (97, 1), (117, 1), (172, 1), (185, 1), (190, 1), (214, 1), (215, 2), (232, 1), (256, 1), (260, 1), (288, 1), (289, 1), (293, 1), (307, 1), (414, 1), (415, 1), (450, 1), (459, 1), (534, 1), (559, 1), (602, 1), (609, 1), (620, 1), (711, 1), (743, 1), (871, 2), (876, 1), (947, 1), (1012, 1), (1072, 1), (1308, 1), (1348, 1), (1529, 2), (1685, 1), (1690, 1), (1731, 1), (1794, 2), (1954, 1), (2099, 1), (2813, 1), (2977, 1), (3200, 1), (4238, 1), (4317, 1), (4699, 1), (5078, 1), (5339, 1), (5434, 1), (7599, 2), (8155, 1), (8674, 1), (9003, 1), (9053, 1), (9158, 1), (9787, 1), (14132, 1), (15051, 1), (15052, 1), (15152, 1), (16687, 1), (17453, 1), (17496, 1), (17516, 1), (17517, 1), (17518, 1), (17519, 1), (17520, 1)], [(7, 1), (8, 1), (22, 1), (53, 1), (124, 1), (269, 1), (301, 1), (1702, 1), (2265, 1), (2582, 1), (3756, 1), (5828, 1), (6628, 1), (7375, 1), (16667, 1)], [(8, 1), (18, 2), (19, 1), (20, 8), (22, 3), (25, 7), (31, 1), (32, 1), (37, 1), (45, 1), (50, 2), (53, 11), (56, 1), (65, 2), (69, 1), (71, 1), (77, 1), (82, 1), (92, 1), (95, 1), (109, 1), (117, 1), (173, 1), (174, 1), (193, 2), (203, 1), (210, 1), (232, 1), (260, 1), (293, 2), (317, 1), (428, 1), (490, 2), (516, 1), (581, 1), (645, 1), (897, 1), (1044, 1), (1170, 1), (1270, 1), (1287, 1), (1377, 1), (1403, 1), (1481, 1), (1482, 1), (1801, 1), (2175, 1), (2253, 1), (2333, 1), (2344, 4), (2543, 1), (2667, 1), (2718, 1), (2719, 1), (2764, 1), (3025, 1), (3371, 1), (3658, 1), (4652, 1), (5300, 1), (5830, 1), (7088, 1), (7822, 1), (8730, 1), (9703, 1), (11598, 1), (11619, 1), (14606, 1), (15464, 1), (16542, 1), (17521, 1), (17522, 1), (17523, 1), (17524, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (25, 3), (31, 1), (32, 2), (50, 5), (53, 6), (55, 2), (65, 2), (82, 1), (90, 1), (95, 1), (97, 1), (99, 1), (187, 1), (193, 1), (281, 1), (285, 1), (405, 1), (450, 2), (458, 1), (531, 2), (609, 1), (744, 1), (874, 1), (1072, 1), (1139, 1), (1157, 1), (1470, 1), (1690, 1), (1956, 1), (2734, 1), (2787, 1), (3295, 1), (3546, 1), (3745, 1), (3798, 1), (3835, 1), (3852, 1), (4960, 1), (5081, 1), (5221, 1), (5719, 1), (5813, 1), (5917, 2), (8765, 1), (9301, 1), (9579, 1), (9904, 1), (11272, 1), (11288, 1), (12712, 1), (12871, 1), (13549, 1), (13839, 1), (15182, 2), (16182, 1), (17525, 1), (17526, 1), (17527, 1), (17528, 1), (17529, 1), (17530, 1)], [(8, 1), (31, 1), (99, 1), (185, 1), (193, 1), (197, 1), (203, 1), (301, 1), (1170, 1), (1196, 1), (2365, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (21, 2), (22, 2), (25, 2), (31, 3), (32, 1), (37, 1), (50, 6), (53, 9), (54, 1), (65, 1), (82, 2), (90, 1), (91, 1), (95, 1), (111, 1), (185, 1), (193, 1), (210, 1), (269, 1), (293, 2), (361, 1), (531, 1), (600, 1), (645, 1), (723, 1), (1035, 1), (1095, 1), (1102, 2), (1157, 1), (1348, 1), (1478, 1), (1485, 1), (1824, 1), (2117, 1), (2178, 1), (2862, 1), (3237, 1), (4296, 1), (4346, 2), (5167, 1), (5813, 1), (5816, 1), (7157, 1), (7375, 1), (7415, 1), (8940, 1), (9050, 1), (10059, 1), (10690, 1), (11272, 1), (11690, 1), (16423, 1), (17531, 1), (17532, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 2), (65, 1), (74, 1), (108, 1), (172, 1), (193, 1), (240, 1), (269, 1), (332, 1), (342, 1), (396, 1), (456, 1), (458, 2), (504, 1), (537, 1), (600, 1), (709, 1), (711, 2), (914, 1), (1253, 1), (1587, 1), (2344, 1), (3181, 1), (3612, 1), (3752, 1), (6864, 1), (9248, 1), (16081, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (20, 9), (22, 1), (25, 4), (31, 3), (50, 5), (51, 1), (53, 6), (54, 1), (71, 1), (82, 1), (90, 1), (108, 1), (124, 1), (166, 1), (172, 1), (246, 1), (256, 1), (285, 1), (355, 1), (394, 1), (412, 1), (414, 1), (420, 1), (446, 1), (458, 2), (459, 1), (504, 1), (600, 1), (922, 2), (1348, 1), (1403, 1), (1457, 1), (1702, 1), (1741, 1), (2666, 1), (2724, 1), (2730, 1), (2819, 2), (2971, 1), (3161, 1), (3752, 1), (4199, 1), (4839, 1), (5910, 1), (6421, 1), (6623, 1), (6750, 1), (8401, 1), (8789, 1), (11091, 1), (14941, 1), (15857, 1), (17533, 1), (17534, 1), (17535, 1)], [(8, 1), (10, 1), (11, 1), (20, 11), (25, 2), (31, 4), (50, 3), (53, 5), (58, 1), (82, 1), (90, 1), (108, 1), (124, 1), (161, 1), (193, 1), (206, 1), (273, 1), (289, 2), (293, 1), (422, 1), (441, 1), (459, 3), (609, 1), (756, 1), (833, 1), (1253, 1), (1451, 1), (1470, 1), (1596, 1), (1747, 1), (2344, 1), (3043, 1), (3121, 1), (3294, 1), (3715, 1), (4296, 1), (4591, 1), (4675, 1), (5405, 1), (6182, 1), (7442, 1), (8529, 1), (8765, 1), (8975, 1), (9621, 1), (10265, 1), (15893, 1), (17526, 1), (17536, 1), (17537, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 9), (25, 2), (31, 1), (32, 2), (50, 1), (53, 2), (90, 1), (187, 1), (214, 1), (215, 1), (217, 1), (225, 1), (256, 1), (293, 1), (412, 1), (415, 1), (428, 1), (448, 1), (518, 1), (587, 1), (661, 1), (829, 1), (834, 1), (1024, 1), (1495, 1), (1642, 1), (2662, 1), (3434, 1), (3610, 1), (4699, 1), (7179, 1), (9782, 1), (10585, 1), (11259, 1), (11443, 1), (13504, 1), (13525, 1), (15805, 1), (15893, 1), (15994, 1), (17538, 1), (17539, 1)], [(8, 1), (37, 1), (77, 1), (658, 1)], [(8, 1), (20, 2), (31, 1), (53, 2), (55, 1), (65, 2), (72, 1), (77, 1), (90, 2), (91, 1), (95, 1), (187, 1), (228, 1), (268, 1), (293, 1), (331, 1), (422, 1), (441, 1), (609, 1), (675, 1), (790, 1), (1311, 1), (1877, 1), (4674, 1), (7184, 1), (7547, 1), (7558, 1), (8747, 1), (12514, 1), (17540, 1), (17541, 1), (17542, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (53, 1), (55, 1), (71, 1), (77, 1), (109, 1), (214, 1), (217, 1), (225, 1), (268, 1), (269, 1), (286, 1), (415, 1), (448, 1), (450, 1), (452, 1), (504, 1), (674, 1), (711, 1), (791, 1), (827, 1), (897, 1), (998, 1), (1308, 1), (1541, 1), (5982, 1), (6668, 1), (7184, 1), (7938, 1), (8535, 1), (8997, 1), (10312, 1), (16507, 1), (17543, 1), (17544, 1)], [(8, 1), (20, 4), (31, 1), (37, 1), (40, 1), (97, 1), (108, 1), (172, 1), (190, 1), (206, 1), (392, 1), (418, 1), (711, 1), (2344, 1), (2693, 1), (3330, 1), (4059, 1), (4489, 1), (6808, 1), (6982, 1), (7913, 1), (8529, 1), (13873, 1), (15760, 1)], [(8, 1), (18, 1), (19, 3), (20, 6), (22, 2), (25, 5), (31, 1), (37, 1), (50, 3), (53, 6), (65, 1), (95, 1), (109, 2), (172, 1), (186, 1), (187, 1), (193, 1), (215, 1), (281, 1), (293, 1), (328, 1), (331, 1), (399, 1), (450, 3), (518, 1), (581, 1), (645, 1), (702, 1), (790, 1), (1119, 1), (1487, 1), (1509, 1), (1716, 1), (1809, 1), (2169, 1), (2218, 1), (2290, 1), (2344, 1), (2529, 1), (3318, 1), (3835, 1), (5247, 1), (6962, 1), (7372, 1), (7823, 1), (8201, 1), (8685, 1), (10232, 1), (11785, 1), (12176, 1), (14613, 1), (14708, 1), (17545, 1), (17546, 1), (17547, 1), (17548, 1), (17549, 1), (17550, 1), (17551, 1)], [(8, 1), (20, 1), (50, 2), (53, 1), (65, 1), (90, 1), (95, 1), (108, 1), (172, 1), (185, 1), (187, 1), (206, 1), (214, 1), (215, 1), (225, 1), (269, 1), (301, 1), (448, 1), (450, 1), (452, 1), (457, 1), (790, 1), (1499, 1), (1536, 1), (1958, 1), (2222, 1), (3415, 1), (4459, 1), (5260, 1), (6847, 1), (11619, 1), (14185, 1), (15835, 1), (17552, 1)], [(7, 1), (8, 1), (18, 1), (20, 3), (22, 1), (31, 1), (50, 2), (53, 2), (70, 1), (82, 1), (97, 1), (108, 1), (111, 1), (172, 1), (185, 2), (187, 1), (206, 1), (214, 1), (215, 1), (217, 1), (260, 1), (268, 1), (301, 1), (328, 1), (414, 1), (448, 1), (531, 1), (791, 1), (833, 1), (884, 1), (1102, 1), (1160, 1), (1196, 1), (1319, 1), (1342, 1), (1607, 1), (1741, 1), (1824, 1), (1911, 1), (2730, 1), (2819, 1), (3224, 1), (3678, 1), (3763, 1), (4092, 1), (7577, 1), (8164, 1), (8765, 1), (9528, 1), (10922, 1), (17553, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (31, 2), (50, 5), (53, 6), (58, 1), (71, 1), (77, 1), (90, 2), (96, 1), (124, 1), (173, 1), (193, 1), (214, 1), (215, 2), (269, 1), (273, 1), (292, 1), (419, 1), (420, 1), (434, 1), (670, 1), (834, 1), (1259, 1), (1284, 1), (1582, 1), (1794, 1), (1824, 1), (2354, 1), (2533, 1), (2983, 1), (3330, 1), (3643, 1), (4290, 1), (5878, 1), (7577, 1), (8497, 1), (9248, 1), (9652, 1), (10653, 1), (10937, 1), (11565, 1), (12190, 2), (12347, 1), (17554, 1), (17555, 1), (17556, 1), (17557, 1)], [(7, 4), (8, 1), (18, 1), (19, 2), (20, 12), (21, 1), (25, 3), (31, 2), (32, 1), (37, 4), (50, 3), (53, 5), (77, 1), (90, 1), (95, 1), (97, 2), (108, 1), (124, 1), (172, 1), (173, 1), (206, 1), (215, 2), (217, 1), (225, 1), (268, 1), (289, 1), (328, 2), (331, 1), (334, 2), (365, 1), (504, 2), (597, 1), (605, 1), (609, 1), (675, 1), (711, 1), (829, 1), (830, 1), (956, 1), (1135, 1), (1598, 1), (1690, 1), (1702, 1), (1999, 1), (2197, 1), (2479, 1), (3835, 1), (3971, 1), (5356, 1), (9248, 1), (9594, 1), (9598, 1), (11069, 1), (12190, 1), (12366, 1), (12704, 1), (13524, 1), (15041, 1), (15845, 1), (16100, 1), (17558, 1), (17559, 1), (17560, 1), (17561, 1), (17562, 1), (17563, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (25, 1), (50, 3), (53, 2), (71, 1), (90, 1), (109, 1), (124, 1), (161, 1), (187, 1), (193, 1), (203, 1), (214, 1), (223, 1), (269, 1), (334, 1), (392, 1), (419, 1), (450, 1), (1342, 1), (1417, 1), (3726, 1), (3973, 1), (4249, 1), (4299, 1), (4525, 1), (5528, 1), (6182, 1), (7157, 1), (7669, 1), (9453, 1), (14716, 1), (17259, 1), (17564, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 1), (25, 3), (37, 2), (50, 4), (53, 5), (65, 2), (77, 1), (90, 1), (96, 1), (185, 1), (186, 1), (323, 1), (331, 1), (419, 1), (448, 1), (459, 1), (460, 1), (578, 1), (600, 1), (609, 1), (830, 1), (878, 1), (1128, 1), (1157, 1), (1396, 1), (1402, 1), (1627, 1), (1972, 1), (2151, 1), (2693, 1), (2872, 1), (3476, 1), (3760, 1), (4074, 1), (4189, 1), (4296, 1), (4328, 1), (5878, 1), (6577, 1), (8799, 1), (11098, 1), (11539, 1), (15910, 1), (16451, 1), (17565, 1)], [(8, 1), (20, 3), (31, 2), (37, 1), (45, 2), (53, 1), (95, 1), (108, 1), (201, 1), (206, 1), (419, 1), (487, 1), (1311, 1), (1607, 1), (4392, 1), (7891, 1), (8858, 1), (17566, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (36, 1), (50, 1), (53, 5), (173, 1), (298, 1), (307, 1), (518, 1), (680, 1), (776, 1), (777, 1), (1100, 2), (3192, 1), (8985, 1), (9096, 1), (15473, 1), (17567, 1), (17568, 1)], [(8, 1), (19, 3), (20, 5), (22, 1), (25, 2), (40, 1), (45, 1), (50, 1), (53, 6), (56, 1), (71, 1), (77, 1), (95, 1), (117, 2), (173, 1), (190, 1), (232, 2), (281, 1), (359, 1), (504, 1), (516, 1), (708, 1), (810, 1), (897, 1), (1041, 1), (1458, 1), (1702, 1), (2191, 2), (4353, 1), (4967, 1), (5901, 2), (8814, 1), (9342, 1), (11474, 1), (13118, 1), (17211, 1), (17415, 1), (17548, 1), (17563, 1), (17569, 1), (17570, 1), (17571, 1), (17572, 1), (17573, 1)], [(1544, 1), (17574, 1)], [(8, 1), (117, 1), (232, 1), (6315, 1), (17044, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (31, 1), (45, 1), (50, 1), (53, 1), (55, 1), (82, 1), (97, 1), (217, 1), (229, 1), (347, 2), (448, 1), (1035, 1), (1305, 1), (1429, 1), (1904, 1), (3121, 1), (3138, 1), (5475, 1), (6315, 1), (10562, 1), (13591, 1), (17045, 1), (17575, 1)], [(8, 1), (18, 2), (36, 1), (45, 2), (50, 1), (55, 1), (65, 1), (90, 1), (281, 1), (347, 2), (373, 1), (529, 1), (744, 1), (1350, 1), (2694, 1), (3283, 1), (3638, 1), (3737, 1), (6114, 1), (17576, 1), (17577, 1)], [(8, 1), (10, 1), (19, 2), (20, 8), (25, 3), (37, 1), (40, 1), (45, 3), (53, 2), (54, 1), (55, 1), (58, 3), (65, 1), (82, 2), (90, 1), (173, 1), (215, 1), (229, 2), (293, 1), (328, 1), (331, 1), (337, 1), (410, 1), (420, 1), (529, 1), (531, 2), (744, 1), (792, 1), (897, 1), (1102, 1), (1122, 1), (1277, 1), (1702, 1), (1824, 1), (1901, 1), (1966, 1), (2064, 1), (2222, 1), (2694, 1), (3064, 1), (3700, 1), (4488, 1), (4666, 1), (5169, 1), (6315, 1), (6818, 1), (7303, 1), (7305, 1), (8337, 1), (8437, 1), (9696, 1), (11742, 1), (11775, 1), (12259, 1), (12605, 1), (14506, 1), (15129, 1), (17578, 1), (17579, 1), (17580, 1), (17581, 1)], [(8, 1), (19, 1), (20, 5), (37, 1), (45, 1), (50, 1), (53, 1), (58, 1), (90, 2), (97, 1), (108, 2), (173, 1), (193, 1), (281, 1), (331, 1), (691, 1), (790, 1), (792, 1), (893, 1), (903, 1), (1196, 1), (2202, 1), (2262, 1), (2296, 1), (2577, 1), (2744, 1), (2785, 1), (3121, 1), (3221, 1), (4121, 1), (5047, 1), (6315, 1), (9840, 1), (10901, 1)], [(7, 1), (8, 1), (19, 1), (20, 7), (22, 2), (25, 3), (37, 1), (45, 2), (53, 3), (54, 2), (58, 3), (65, 1), (82, 1), (90, 3), (109, 1), (117, 1), (173, 1), (174, 1), (217, 3), (232, 1), (256, 1), (269, 1), (281, 1), (286, 1), (293, 1), (347, 3), (448, 1), (452, 1), (573, 1), (654, 1), (894, 1), (1224, 1), (1277, 1), (1361, 1), (1498, 1), (1664, 1), (1719, 1), (1911, 1), (2632, 1), (2694, 1), (3041, 1), (3422, 1), (3436, 1), (3466, 1), (4179, 1), (5054, 1), (6129, 1), (6623, 1), (8261, 1), (8475, 1), (9595, 1), (10607, 1), (10787, 1), (10863, 1), (12136, 1), (12248, 1), (17582, 1), (17583, 1), (17584, 1), (17585, 1), (17586, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (22, 2), (25, 1), (34, 1), (37, 2), (45, 2), (50, 4), (53, 7), (54, 1), (55, 1), (58, 1), (90, 3), (173, 1), (193, 1), (197, 1), (215, 3), (256, 1), (278, 1), (293, 1), (347, 1), (407, 1), (422, 1), (450, 1), (480, 1), (516, 1), (602, 1), (628, 1), (795, 1), (897, 1), (903, 1), (1342, 1), (1446, 1), (1594, 1), (1685, 1), (2326, 1), (3043, 1), (3203, 1), (3762, 1), (4296, 1), (4891, 1), (4910, 1), (5031, 1), (5310, 1), (7810, 1), (10670, 1), (10765, 1), (11564, 1), (12425, 1), (12439, 1), (12514, 1), (15395, 1), (16617, 1), (17587, 1), (17588, 1), (17589, 1)], [(8, 1), (20, 2), (22, 1), (25, 2), (50, 2), (53, 2), (124, 1), (236, 1), (287, 1), (605, 1), (833, 2), (2479, 1), (2772, 1), (5127, 1), (6315, 1), (9226, 2), (12514, 1), (17590, 1), (17591, 1), (17592, 2)], [(7, 1), (8, 1), (19, 4), (20, 7), (22, 2), (31, 1), (37, 2), (50, 5), (53, 6), (56, 1), (58, 1), (65, 1), (71, 1), (77, 1), (82, 2), (90, 2), (91, 1), (108, 1), (109, 1), (117, 1), (172, 1), (185, 2), (193, 1), (226, 1), (232, 1), (256, 1), (268, 1), (286, 1), (292, 3), (328, 1), (387, 1), (392, 1), (414, 1), (415, 1), (448, 2), (489, 1), (526, 1), (531, 3), (675, 1), (904, 1), (1013, 1), (1128, 1), (1432, 1), (1529, 1), (1686, 1), (1702, 2), (1878, 1), (2035, 1), (2351, 1), (2400, 1), (3203, 1), (3821, 1), (4322, 1), (4328, 1), (4455, 2), (5339, 1), (6416, 1), (7371, 1), (8045, 1), (9413, 1), (9514, 1), (15677, 1), (16786, 1), (17593, 1), (17594, 1), (17595, 1), (17596, 1), (17597, 1), (17598, 1), (17599, 1)], [(8, 1), (18, 2), (20, 9), (22, 1), (25, 1), (31, 2), (37, 1), (40, 1), (53, 2), (65, 1), (82, 1), (85, 1), (91, 1), (172, 1), (193, 1), (236, 1), (256, 1), (260, 1), (286, 1), (293, 1), (448, 1), (450, 1), (526, 1), (531, 1), (600, 1), (1466, 1), (1529, 1), (1685, 1), (2051, 1), (2580, 1), (2795, 1), (3206, 1), (4872, 1), (6000, 1), (6315, 1), (6667, 1), (8810, 1), (9277, 1), (17600, 1), (17601, 1), (17602, 1), (17603, 1), (17604, 1), (17605, 1), (17606, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (25, 1), (31, 2), (37, 1), (40, 1), (50, 3), (53, 6), (65, 2), (82, 1), (90, 2), (108, 1), (185, 1), (193, 1), (203, 1), (206, 1), (214, 1), (293, 1), (316, 1), (392, 1), (399, 1), (419, 1), (434, 1), (553, 1), (691, 1), (904, 1), (1012, 1), (1122, 1), (1686, 1), (1756, 1), (1899, 1), (2344, 1), (2545, 2), (2977, 1), (3103, 1), (7590, 1), (8045, 1), (8127, 1), (8362, 2), (8401, 1), (8809, 1), (12721, 1), (17607, 1), (17608, 1), (17609, 1), (17610, 1)], [(8, 1), (20, 2), (24, 1), (31, 2), (50, 2), (53, 3), (65, 1), (77, 1), (256, 1), (645, 1), (2812, 1), (5053, 1), (6424, 1), (6700, 1), (10852, 1), (12098, 1), (17611, 1), (17612, 1)], [(8, 1), (18, 1), (20, 3), (31, 1), (97, 1), (124, 1), (172, 1), (217, 2), (225, 1), (226, 1), (307, 1), (601, 1), (697, 1), (753, 1), (1499, 1), (3323, 1), (7088, 1), (10681, 1), (15314, 1), (17613, 1)], [(8, 1), (18, 2), (19, 1), (20, 9), (22, 1), (25, 2), (50, 2), (53, 4), (54, 1), (55, 1), (58, 3), (65, 2), (90, 2), (108, 2), (173, 1), (215, 1), (228, 1), (269, 1), (307, 1), (337, 1), (347, 2), (399, 1), (415, 1), (448, 1), (459, 1), (516, 1), (526, 1), (744, 1), (893, 1), (1068, 1), (1324, 1), (1377, 1), (2029, 1), (2149, 1), (2479, 1), (2825, 1), (3114, 1), (3254, 1), (3330, 1), (3524, 1), (4235, 1), (4878, 1), (5169, 1), (6129, 1), (6315, 1), (6623, 1), (7157, 1), (7230, 1), (8470, 1), (8966, 1), (17614, 1), (17615, 1), (17616, 1)], [(7, 1), (8, 1), (20, 3), (22, 1), (37, 1), (50, 2), (108, 1), (117, 2), (124, 1), (185, 1), (197, 1), (215, 1), (232, 2), (237, 1), (268, 1), (387, 1), (411, 1), (833, 1), (1102, 1), (1596, 1), (1878, 1), (1904, 1), (2197, 1), (2283, 1), (2365, 1), (2785, 1), (4366, 1), (4465, 1), (6186, 1), (6315, 1), (10603, 1), (10737, 1), (17617, 1), (17618, 1), (17619, 1)], [(8, 1), (20, 3), (22, 1), (31, 1), (37, 1), (53, 1), (58, 1), (85, 1), (185, 1), (193, 1), (202, 1), (269, 1), (301, 1), (426, 1), (792, 1), (1196, 1), (2862, 1)], [(8, 1), (45, 1), (50, 1), (53, 1), (54, 1), (193, 1), (658, 1), (2795, 1), (2895, 1), (6239, 1), (17061, 1), (17620, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 8), (21, 2), (22, 1), (25, 1), (30, 1), (40, 1), (50, 3), (53, 3), (55, 1), (58, 1), (65, 1), (82, 2), (90, 2), (108, 2), (109, 1), (161, 1), (185, 1), (215, 1), (256, 1), (323, 1), (331, 1), (405, 1), (767, 1), (792, 1), (892, 1), (911, 1), (1160, 1), (1277, 1), (1288, 1), (1308, 1), (1392, 1), (2197, 1), (2537, 1), (3146, 1), (4004, 1), (4600, 1), (5247, 2), (5583, 1), (5963, 1), (6315, 1), (7399, 1), (9152, 1), (10863, 1), (13835, 1), (17621, 1), (17622, 1), (17623, 1), (17624, 1), (17625, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 1), (25, 1), (30, 1), (31, 1), (37, 1), (50, 1), (53, 2), (54, 1), (58, 2), (82, 1), (83, 1), (90, 2), (91, 1), (92, 1), (108, 1), (109, 1), (117, 1), (185, 1), (186, 1), (215, 1), (232, 1), (241, 1), (281, 1), (293, 1), (347, 2), (387, 1), (450, 1), (711, 1), (792, 1), (1057, 1), (1348, 1), (1937, 1), (1995, 1), (2324, 1), (3114, 1), (4674, 1), (6129, 1), (6518, 1), (8378, 1), (14582, 1), (17626, 1), (17627, 1), (17628, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (25, 1), (31, 2), (37, 1), (45, 1), (50, 2), (53, 4), (55, 1), (58, 1), (71, 1), (72, 1), (82, 1), (111, 2), (172, 1), (173, 2), (185, 2), (215, 1), (301, 1), (498, 1), (830, 1), (999, 1), (1010, 1), (1196, 1), (1685, 1), (1824, 1), (1902, 1), (2051, 1), (2354, 1), (2655, 1), (3082, 1), (3638, 1), (4296, 1), (4500, 1), (6315, 1), (6464, 1), (7098, 1), (7444, 1), (9316, 1), (17629, 1), (17630, 1), (17631, 1)], [(8, 1), (10, 1), (11, 1), (18, 2), (19, 1), (20, 4), (25, 2), (30, 3), (31, 1), (34, 1), (37, 1), (50, 2), (53, 4), (55, 1), (65, 2), (71, 1), (90, 2), (97, 1), (173, 1), (217, 1), (307, 1), (316, 1), (331, 1), (347, 1), (410, 1), (411, 1), (414, 1), (420, 1), (601, 1), (654, 1), (753, 1), (756, 1), (902, 1), (1088, 1), (1253, 1), (1348, 1), (1467, 1), (1488, 1), (1777, 1), (1820, 1), (2577, 1), (2694, 1), (3199, 1), (3638, 1), (3924, 1), (3934, 1), (5749, 1), (6096, 1), (10080, 1), (11660, 1), (12129, 1), (14258, 1), (14768, 1), (15256, 1), (17632, 1), (17633, 1), (17634, 1)], [(8, 1), (19, 3), (20, 2), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 4), (58, 1), (90, 1), (106, 1), (108, 1), (172, 1), (269, 1), (529, 1), (834, 1), (1224, 1), (1997, 1), (3082, 1), (3181, 1), (3421, 1), (3638, 1), (3854, 1), (5317, 1), (5788, 1), (6184, 1), (13292, 1), (17635, 1)], [(8, 1), (19, 4), (20, 3), (22, 1), (25, 1), (31, 1), (50, 2), (53, 5), (54, 2), (71, 2), (85, 1), (117, 1), (188, 1), (193, 1), (232, 1), (601, 1), (709, 1), (741, 1), (776, 1), (1041, 1), (1850, 1), (1867, 1), (2734, 1), (3865, 1), (3867, 1), (4562, 1), (6112, 1), (6239, 1), (6499, 1), (7669, 1), (9683, 1), (12753, 1), (17636, 1), (17637, 1), (17638, 1)], [(1544, 1), (17639, 1)], [(8, 1), (24, 1), (17640, 1)], [(8, 1), (18, 3), (20, 3), (22, 1), (25, 3), (50, 1), (53, 1), (70, 1), (88, 1), (173, 1), (399, 1), (645, 1), (675, 1), (1012, 1), (2202, 1), (4910, 1), (6936, 1), (9277, 1), (17447, 1), (17608, 1), (17641, 1), (17642, 1), (17643, 1)], [(8, 1), (18, 1), (20, 4), (25, 2), (31, 1), (50, 1), (53, 2), (88, 1), (108, 1), (109, 1), (301, 1), (407, 1), (711, 1), (922, 1), (1287, 1), (1470, 1), (1526, 1), (1596, 1), (2479, 1), (4360, 1), (4485, 1), (4981, 1), (6222, 1), (14716, 1), (17644, 1)], [(8, 1), (20, 3), (22, 2), (25, 1), (31, 1), (32, 1), (50, 1), (53, 2), (54, 2), (109, 1), (117, 1), (173, 2), (185, 1), (232, 1), (268, 1), (301, 1), (407, 1), (414, 1), (531, 1), (1012, 1), (1102, 1), (1188, 1), (1348, 1), (3036, 1), (3082, 1), (3138, 1), (4674, 1), (6129, 1), (7149, 1), (8975, 1), (9390, 1), (12083, 1), (15316, 1), (17645, 1)], [(8, 1), (18, 1), (19, 4), (20, 5), (22, 1), (25, 3), (31, 1), (37, 2), (45, 1), (50, 1), (53, 2), (54, 1), (55, 1), (65, 2), (97, 1), (111, 1), (117, 1), (124, 2), (172, 1), (173, 1), (212, 1), (215, 1), (229, 1), (232, 1), (365, 1), (526, 1), (531, 1), (551, 1), (708, 1), (709, 1), (827, 1), (834, 2), (924, 1), (1160, 1), (1284, 2), (1509, 1), (1522, 1), (1613, 1), (1685, 1), (1764, 1), (1803, 1), (2096, 1), (3082, 1), (3313, 1), (3758, 1), (3930, 1), (6162, 1), (6192, 1), (6464, 1), (6765, 1), (7141, 1), (11129, 1), (11799, 1), (13205, 1), (17646, 1), (17647, 1), (17648, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (30, 1), (31, 3), (50, 2), (53, 3), (54, 1), (65, 1), (111, 1), (117, 1), (185, 1), (281, 1), (301, 1), (372, 1), (404, 1), (518, 1), (609, 1), (709, 1), (767, 1), (829, 1), (834, 1), (1248, 1), (1348, 1), (1403, 1), (1488, 1), (1807, 1), (2161, 1), (3082, 1), (6129, 1), (6404, 1), (8057, 1), (8110, 1), (8218, 1), (8341, 1), (9909, 1), (10565, 1), (11442, 1), (15513, 1), (17649, 1)], [(8, 1), (19, 2), (20, 6), (22, 1), (25, 2), (31, 4), (37, 1), (45, 2), (50, 3), (53, 3), (54, 1), (65, 2), (82, 1), (111, 1), (117, 1), (124, 1), (173, 1), (232, 1), (261, 1), (286, 1), (415, 1), (632, 1), (855, 1), (886, 1), (913, 1), (966, 1), (1197, 1), (1305, 1), (1414, 1), (1467, 1), (1559, 1), (2064, 1), (2245, 1), (2418, 1), (2479, 1), (2753, 1), (4954, 1), (5568, 1), (5760, 1), (5936, 1), (6184, 1), (6242, 1), (6537, 1), (7151, 1), (7512, 1), (7885, 1), (8036, 1), (8070, 1), (9059, 1), (9881, 1), (10752, 1), (11837, 1), (17650, 1), (17651, 1), (17652, 1), (17653, 1), (17654, 1), (17655, 1), (17656, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (24, 1), (25, 2), (37, 1), (45, 2), (50, 3), (54, 1), (55, 1), (65, 1), (173, 1), (174, 1), (269, 1), (293, 1), (621, 1), (924, 1), (1130, 1), (1139, 1), (1188, 1), (1478, 1), (2137, 1), (2148, 1), (2479, 1), (2734, 1), (2766, 1), (2773, 1), (2857, 1), (3295, 1), (3726, 1), (13306, 1), (13738, 1), (15421, 1), (17657, 1), (17658, 1)], [(8, 1), (20, 1), (37, 1), (50, 1), (53, 2), (54, 1), (65, 1), (185, 1), (187, 1), (305, 1), (420, 1), (459, 1), (662, 1), (1626, 1), (2359, 1), (2744, 1), (2857, 1), (3321, 1), (5409, 1), (5931, 1), (6109, 1), (7382, 1), (17659, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (40, 1), (45, 1), (50, 1), (53, 1), (58, 2), (65, 1), (71, 1), (77, 1), (126, 1), (269, 1), (278, 1), (392, 1), (428, 2), (829, 1), (894, 1), (1041, 1), (2855, 1), (3064, 1), (3082, 1), (4526, 1), (7005, 1), (7402, 1), (8797, 1), (9394, 1), (11781, 1), (12525, 1), (13738, 1), (17660, 1)], [(8, 1), (18, 2), (20, 3), (25, 2), (50, 4), (53, 1), (58, 1), (65, 4), (77, 1), (85, 1), (95, 2), (108, 1), (126, 1), (218, 1), (353, 1), (392, 1), (405, 1), (414, 1), (482, 1), (790, 1), (970, 1), (1363, 1), (1695, 1), (2672, 1), (2694, 1), (2748, 1), (2847, 1), (3082, 1), (4062, 1), (4709, 1), (5215, 1), (6213, 1), (10401, 1), (10846, 1), (11044, 1), (13775, 1), (14614, 1), (17661, 1)], [(8, 1), (18, 1), (45, 1), (53, 1), (392, 1), (3082, 1), (3106, 1), (5278, 1), (8192, 1), (12017, 1), (17662, 1), (17663, 1), (17664, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (31, 1), (45, 2), (50, 2), (53, 3), (71, 1), (108, 1), (197, 1), (281, 1), (924, 1), (1129, 1), (3082, 1), (3269, 1), (5795, 1), (5952, 1), (7295, 1), (7749, 1), (7943, 1), (9935, 1), (11987, 2), (15421, 1), (16740, 1), (17170, 1), (17665, 1), (17666, 1)], [(8, 1), (18, 1), (19, 1), (45, 1), (53, 1), (65, 2), (126, 1), (392, 1), (790, 1), (1960, 1), (2514, 1), (2751, 1), (3082, 1), (3539, 1), (4311, 1), (4609, 1), (4835, 1), (6047, 1), (17667, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (30, 3), (31, 1), (45, 3), (50, 1), (53, 7), (71, 1), (75, 1), (85, 1), (90, 1), (172, 1), (173, 1), (178, 1), (225, 1), (256, 1), (269, 1), (281, 1), (285, 1), (328, 1), (392, 1), (504, 1), (1088, 1), (1122, 1), (1180, 1), (1487, 1), (1699, 1), (2457, 1), (2692, 1), (2857, 1), (3082, 2), (3812, 1), (3902, 1), (4763, 1), (5024, 1), (5888, 1), (6773, 1), (8495, 1), (11968, 1), (14077, 1), (15421, 1), (17668, 1), (17669, 1), (17670, 1), (17671, 1), (17672, 1)], [(8, 1), (20, 2), (25, 2), (31, 1), (37, 2), (54, 1), (185, 1), (193, 1), (348, 1), (654, 1), (877, 1), (1330, 1), (3082, 1), (4789, 1), (6162, 1), (8004, 1)], [(8, 1), (22, 2), (50, 1), (65, 1), (108, 1), (173, 3), (256, 1), (600, 1), (904, 1), (1481, 1), (2356, 1), (2694, 1), (2978, 1), (3540, 1), (5794, 1), (6439, 1), (7500, 1), (9792, 1), (13433, 1), (17673, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (30, 1), (31, 1), (32, 1), (37, 1), (50, 2), (55, 1), (185, 1), (278, 1), (281, 1), (285, 1), (293, 1), (301, 1), (448, 1), (744, 1), (1270, 1), (1470, 1), (1529, 1), (1820, 1), (3394, 1), (6367, 1), (6388, 1), (6843, 1), (7866, 1), (8640, 1), (13918, 1), (17674, 1), (17675, 1)], [(8, 1), (82, 1), (293, 1), (301, 1), (1598, 1)], [(8, 1), (18, 1), (20, 6), (22, 3), (23, 1), (25, 1), (31, 2), (50, 1), (53, 3), (54, 1), (55, 1), (56, 1), (58, 3), (90, 1), (97, 1), (99, 2), (108, 3), (124, 1), (185, 1), (215, 1), (269, 1), (273, 1), (286, 1), (293, 1), (428, 1), (459, 1), (487, 1), (526, 1), (527, 1), (645, 1), (708, 1), (833, 1), (903, 1), (936, 1), (1041, 1), (1102, 1), (1529, 1), (1702, 1), (1909, 1), (2681, 1), (2985, 1), (5353, 1), (6229, 1), (7371, 1), (7480, 1), (7605, 1), (7678, 1), (8720, 1), (8930, 1), (9167, 1), (10393, 1), (10683, 1), (14738, 1), (15773, 1), (17676, 1), (17677, 2), (17678, 1), (17679, 2)], [(8, 1), (18, 1), (19, 1), (20, 9), (22, 1), (25, 1), (30, 1), (31, 1), (32, 1), (37, 1), (50, 1), (51, 1), (53, 3), (54, 2), (55, 2), (58, 2), (65, 3), (82, 1), (117, 1), (172, 1), (185, 1), (193, 1), (215, 2), (232, 1), (278, 1), (411, 1), (414, 1), (516, 1), (526, 1), (531, 2), (601, 1), (744, 1), (897, 1), (1342, 1), (1350, 1), (1742, 1), (1824, 1), (1902, 1), (1958, 1), (2024, 1), (2343, 1), (2646, 1), (2744, 1), (2747, 1), (3557, 1), (4778, 1), (5901, 1), (6168, 1), (6794, 1), (8449, 1), (11241, 1), (13215, 1), (14080, 1), (14392, 1), (17679, 1), (17680, 1), (17681, 1), (17682, 1), (17683, 1), (17684, 1), (17685, 1), (17686, 1)], [(18, 1), (19, 2), (20, 4), (22, 1), (25, 1), (30, 1), (51, 1), (58, 1), (65, 1), (77, 1), (82, 1), (90, 1), (96, 1), (112, 1), (124, 1), (172, 1), (174, 1), (185, 1), (188, 1), (217, 1), (246, 1), (256, 1), (268, 1), (289, 1), (347, 3), (505, 1), (601, 1), (708, 1), (1308, 1), (1714, 1), (2761, 1), (3082, 1), (3121, 1), (4503, 1), (5768, 1), (5896, 1), (6385, 1), (6930, 1), (16076, 1), (17687, 1), (17688, 1), (17689, 1)], [(8, 1), (18, 2), (19, 1), (22, 3), (36, 1), (53, 1), (54, 1), (56, 1), (65, 1), (111, 1), (185, 1), (215, 1), (531, 1), (654, 1), (672, 1), (1467, 1), (3134, 1), (4875, 1), (5339, 1), (11532, 1), (14301, 1), (16582, 1), (17690, 1), (17691, 1), (17692, 1), (17693, 1)], [(7, 4), (8, 1), (18, 2), (19, 2), (20, 6), (22, 2), (25, 1), (30, 1), (31, 2), (37, 1), (45, 1), (50, 3), (58, 1), (69, 1), (82, 1), (90, 1), (108, 1), (111, 4), (161, 1), (173, 2), (185, 1), (206, 1), (217, 1), (256, 1), (260, 1), (273, 1), (289, 1), (293, 1), (347, 1), (601, 1), (608, 1), (792, 1), (795, 1), (813, 1), (1284, 1), (1470, 1), (1877, 1), (2197, 1), (2353, 1), (2705, 1), (2847, 1), (5385, 1), (6904, 1), (7200, 1), (7783, 1), (9443, 1), (10189, 1), (13205, 1), (13388, 1), (17694, 1), (17695, 1), (17696, 1), (17697, 1), (17698, 1), (17699, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (27, 1), (36, 1), (40, 1), (45, 2), (50, 1), (53, 1), (54, 1), (172, 1), (173, 1), (203, 1), (269, 1), (347, 2), (428, 1), (504, 1), (2067, 1), (2543, 1), (2884, 1), (3160, 1), (6277, 1), (17700, 1), (17701, 1)], [(8, 1), (18, 2), (20, 12), (21, 2), (22, 1), (36, 1), (50, 3), (53, 1), (54, 1), (65, 3), (82, 1), (256, 3), (269, 1), (441, 1), (516, 1), (716, 1), (834, 1), (884, 1), (1102, 1), (1308, 1), (1702, 1), (2014, 1), (2148, 1), (2292, 1), (2440, 1), (2864, 1), (3320, 1), (4623, 1), (6371, 1), (7885, 1), (9683, 1), (9981, 1), (11017, 1), (13316, 1), (13944, 1), (14178, 1), (14293, 1), (14860, 1), (17658, 1), (17702, 1), (17703, 1), (17704, 1), (17705, 1), (17706, 1), (17707, 1), (17708, 1), (17709, 1), (17710, 1), (17711, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 5), (25, 2), (30, 2), (37, 1), (45, 1), (50, 1), (53, 3), (54, 2), (65, 1), (88, 1), (90, 1), (108, 2), (111, 1), (186, 1), (241, 1), (328, 1), (347, 1), (392, 1), (430, 1), (459, 1), (504, 2), (711, 2), (1596, 1), (1685, 1), (1766, 1), (3082, 1), (3250, 1), (4941, 1), (5788, 1), (8012, 1), (13944, 2), (17711, 1), (17712, 1)], [(8, 1), (20, 6), (25, 1), (37, 1), (50, 1), (54, 1), (65, 2), (175, 1), (185, 1), (215, 1), (268, 1), (337, 1), (430, 1), (531, 1), (1742, 1), (3082, 1), (3501, 1), (5404, 1), (5583, 1), (17713, 1), (17714, 1), (17715, 1)], [(8, 1), (18, 2), (20, 1), (30, 1), (31, 1), (63, 1), (82, 1), (90, 1), (172, 1), (173, 2), (347, 1), (792, 2), (869, 1), (1041, 1), (1628, 1), (1901, 1), (2440, 1), (3301, 1), (6381, 1), (8219, 1)], [(8, 1), (18, 1), (20, 3), (50, 2), (54, 1), (77, 1), (90, 1), (111, 1), (268, 1), (328, 1), (490, 1), (596, 1), (1520, 1), (2826, 1), (5019, 1), (9084, 1), (10836, 1), (17716, 1)], [(8, 1), (22, 1), (25, 1), (32, 1), (54, 1), (58, 2), (108, 1), (111, 1), (124, 1), (301, 1), (328, 2), (347, 1), (448, 1), (463, 1), (609, 1), (17717, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 3), (25, 2), (26, 1), (30, 2), (31, 1), (37, 1), (45, 1), (50, 1), (53, 2), (54, 3), (58, 2), (65, 2), (90, 1), (97, 1), (111, 1), (185, 4), (256, 1), (328, 1), (331, 1), (334, 1), (414, 1), (441, 1), (505, 1), (516, 1), (531, 1), (922, 1), (1308, 1), (1332, 1), (1342, 2), (1377, 1), (1596, 1), (1625, 1), (1964, 1), (2095, 1), (2371, 1), (2466, 1), (2515, 1), (3723, 1), (6769, 1), (9691, 1), (9789, 1), (9981, 1), (10583, 1), (17718, 1), (17719, 1), (17720, 1), (17721, 1)], [(1544, 1), (17722, 1)], [(8, 1), (25, 1), (53, 1), (6315, 1), (17640, 1)], [(8, 1), (21, 1), (24, 1), (3528, 1), (3604, 1), (9863, 1), (10257, 1)], [(8, 1), (10, 1), (20, 2), (65, 1), (439, 4), (466, 1), (470, 1), (493, 1), (522, 1), (540, 1), (716, 1), (1107, 1), (1209, 1), (5961, 1), (10300, 1), (17723, 1), (17724, 1), (17725, 1), (17726, 1), (17727, 1), (17728, 1), (17729, 1), (17730, 1), (17731, 2), (17732, 1), (17733, 1), (17734, 1), (17735, 2)], [(8, 1), (20, 4), (439, 1), (522, 2), (540, 1), (7074, 1), (10297, 1), (10301, 1), (17723, 1), (17730, 1), (17736, 1), (17737, 1), (17738, 1), (17739, 1), (17740, 1), (17741, 1), (17742, 1), (17743, 1)], [(20, 2), (439, 3), (522, 1), (960, 1), (1406, 1), (17729, 2), (17744, 1), (17745, 1), (17746, 1), (17747, 1), (17748, 1), (17749, 1), (17750, 1), (17751, 1)], [(20, 1), (25, 1), (53, 2), (247, 1), (790, 1), (10356, 1), (17752, 1), (17753, 1)], [(8, 1), (20, 1), (25, 1), (71, 2), (77, 2), (90, 1), (97, 2), (658, 1), (743, 2), (2320, 2), (3103, 2)], [(8, 1), (20, 1), (25, 1), (51, 1), (241, 1), (287, 1), (323, 1), (419, 1), (693, 1), (9451, 1), (10356, 1)], [(8, 1), (117, 1), (232, 1), (496, 1), (815, 1), (2265, 1)], [(10, 1), (20, 2), (32, 1), (155, 1), (185, 1), (662, 1), (1296, 1), (4939, 1), (17754, 1)], [(10, 3), (20, 2), (57, 1), (58, 3), (77, 1), (117, 3), (185, 1), (232, 2), (247, 1), (498, 1), (506, 1), (759, 1), (790, 1), (886, 1), (1580, 1), (1628, 1), (2149, 1), (3162, 1), (3291, 1), (7083, 1), (8581, 1), (14513, 3), (17754, 3)], [(8, 1), (31, 1), (32, 1), (51, 1), (77, 1), (96, 1), (106, 1), (108, 1), (531, 1), (893, 1), (1180, 1), (2072, 1), (2868, 1), (8452, 1)], [(10, 1), (18, 2), (20, 2), (22, 1), (25, 2), (57, 1), (58, 1), (99, 2), (117, 2), (155, 1), (185, 1), (759, 2), (790, 1), (1559, 1), (1615, 2), (1907, 2), (3476, 2), (17754, 1), (17755, 1), (17756, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (23, 1), (25, 2), (51, 1), (65, 1), (71, 1), (75, 1), (90, 1), (91, 1), (99, 1), (108, 1), (117, 2), (172, 1), (232, 1), (328, 1), (498, 1), (702, 1), (1988, 1), (2367, 1), (2854, 1), (2855, 1), (3280, 1), (9125, 1), (9171, 1), (13944, 1), (17757, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (19, 2), (21, 1), (22, 3), (23, 1), (32, 1), (58, 1), (65, 2), (90, 1), (117, 2), (175, 1), (215, 1), (232, 2), (256, 1), (268, 1), (316, 1), (328, 1), (414, 1), (516, 1), (601, 1), (743, 1), (884, 1), (885, 1), (1308, 1), (1831, 1), (2126, 1), (2140, 1), (2149, 1), (2178, 1), (3757, 1), (4480, 1), (9503, 1), (9590, 1), (17754, 1), (17758, 1), (17759, 1), (17760, 1)], [(8, 1), (10, 1), (11, 1), (18, 3), (19, 1), (20, 2), (22, 1), (23, 2), (30, 1), (31, 1), (32, 1), (40, 1), (53, 1), (85, 1), (166, 1), (215, 2), (256, 1), (347, 1), (504, 1), (990, 1), (1308, 1), (1342, 2), (2636, 1), (3638, 1), (3969, 1), (6059, 1), (9177, 1), (16656, 1), (17754, 1)], [(8, 1), (23, 1), (25, 1), (31, 1), (37, 1), (50, 1), (117, 2), (182, 1), (193, 1), (759, 1), (873, 1), (1766, 2), (2338, 1), (3069, 1), (3278, 1), (4097, 1), (6217, 1), (14139, 1), (17761, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 3), (22, 1), (25, 3), (50, 1), (55, 1), (71, 1), (172, 1), (516, 1), (530, 1), (680, 1), (711, 1), (1615, 1), (1685, 1), (1731, 1), (1766, 1), (3416, 1), (3476, 1), (7170, 1), (10099, 1), (17754, 1), (17762, 1), (17763, 1), (17764, 1)], [(8, 1), (20, 5), (22, 2), (23, 3), (25, 1), (32, 1), (34, 1), (37, 1), (45, 1), (51, 1), (53, 1), (58, 1), (71, 1), (190, 1), (203, 1), (278, 1), (307, 1), (351, 1), (406, 1), (490, 1), (504, 1), (708, 1), (726, 1), (970, 1), (1485, 1), (2005, 1), (3182, 1), (3633, 1), (17765, 1)], [(247, 1), (2379, 1)], [(8, 1), (20, 2), (22, 2), (31, 1), (53, 1), (58, 1), (90, 2), (111, 1), (117, 3), (173, 1), (214, 1), (226, 1), (232, 3), (419, 1), (526, 1), (2016, 1), (3036, 1), (5939, 1), (7055, 1), (8442, 1)], [(10, 1), (11, 1), (6664, 1), (10501, 1)], [(10, 1), (11, 1), (20, 1), (439, 2), (1406, 1), (17725, 1), (17766, 1), (17767, 1), (17768, 1), (17769, 1), (17770, 1), (17771, 1)], [(20, 1), (247, 1), (2013, 1), (17772, 1)], [(8, 1), (20, 1), (31, 1), (949, 1), (1342, 1), (3070, 1)], [(8, 1), (20, 1), (23, 1), (32, 1), (53, 2), (190, 1), (406, 1), (869, 1), (1325, 1), (2812, 1), (17773, 1)], [(8, 1), (20, 1), (496, 1), (506, 1), (949, 1), (2813, 1)], [(18, 1), (108, 1), (247, 1), (3638, 1), (17774, 1)], [(8, 1), (2178, 1)], [(8, 1), (20, 1), (53, 1), (58, 1), (82, 1), (117, 1), (232, 1), (763, 1), (1342, 1), (2013, 1)], [(58, 1), (247, 1), (7047, 1)], [(8, 1), (22, 1), (58, 1), (351, 1), (414, 1), (2515, 1), (4841, 1), (5639, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (77, 1), (106, 1), (226, 1), (262, 1), (352, 1), (357, 1), (498, 1), (506, 1), (776, 1), (1041, 1), (3082, 1), (8785, 1), (15421, 1), (17775, 1)], [(8, 1), (20, 1), (22, 1), (58, 1), (241, 1), (293, 1), (448, 1), (1747, 1), (17776, 1)], [(20, 3), (21, 1), (58, 1), (190, 1), (247, 1), (442, 1), (949, 1), (1583, 1), (3189, 1), (7427, 2)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 2), (23, 2), (31, 1), (56, 1), (90, 1), (185, 1), (262, 1), (516, 2), (581, 1), (645, 1), (739, 1), (1165, 1), (1867, 1), (1901, 1), (2178, 1), (7545, 1), (17775, 1)], [(20, 1), (21, 1), (23, 1), (53, 1), (96, 1), (117, 2), (173, 1), (232, 2), (328, 1), (410, 2), (596, 1), (1683, 1), (1714, 1), (1898, 1), (11546, 1), (17636, 1)], [(8, 1), (20, 2), (32, 1), (36, 1), (53, 1), (65, 1), (71, 1), (203, 1), (949, 1), (9171, 1), (13944, 1), (17638, 1)], [(8, 1), (1166, 1)], [(8, 1), (18, 1), (22, 1), (53, 1), (117, 1), (122, 1), (173, 1), (232, 1), (1596, 1), (16625, 1), (16740, 1), (17777, 1)], [(18, 1), (36, 1), (247, 1), (328, 1), (939, 1), (2332, 1), (3533, 1), (4062, 1)], [(8, 1), (20, 1), (22, 1), (50, 1), (53, 1), (108, 1), (172, 1), (173, 1), (185, 1), (203, 1), (608, 1), (778, 1), (795, 1), (949, 1), (2241, 1), (3545, 1), (4939, 1)], [(8, 1), (65, 1), (3073, 1), (17778, 1)], [(8, 1), (173, 1), (203, 1), (241, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 2), (23, 1), (25, 2), (31, 1), (32, 1), (51, 1), (55, 1), (58, 1), (90, 2), (91, 1), (96, 1), (108, 1), (117, 2), (172, 1), (203, 1), (217, 1), (232, 2), (273, 1), (293, 1), (323, 1), (353, 2), (387, 1), (407, 1), (600, 1), (711, 1), (743, 1), (999, 3), (1432, 1), (1685, 1), (1875, 1), (3323, 1), (5831, 1), (6941, 1), (10786, 1), (10929, 1), (11546, 1), (15129, 1), (17636, 1)], [(53, 1), (247, 1), (561, 1), (1347, 1), (13371, 1)], [(8, 1), (50, 1), (53, 3), (71, 1), (106, 1), (203, 1), (353, 1), (10929, 1), (15050, 1), (17779, 1)], [(8, 1), (18, 3), (19, 1), (20, 2), (22, 1), (30, 1), (50, 1), (55, 2), (65, 1), (90, 1), (92, 1), (117, 2), (173, 1), (232, 2), (328, 1), (420, 1), (988, 1), (1171, 1), (2014, 1), (2025, 1), (2145, 1), (3482, 1), (8987, 1), (9171, 1), (17637, 1), (17640, 1), (17780, 1), (17781, 1)], [(1167, 1), (1714, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (23, 1), (58, 1), (77, 1), (117, 1), (337, 1), (410, 1), (645, 1), (902, 1), (1529, 1), (2854, 1), (4556, 1), (10402, 1), (11546, 1), (13352, 1), (17782, 1)], [(18, 1), (19, 3), (20, 7), (21, 1), (22, 5), (23, 1), (25, 2), (29, 1), (31, 2), (34, 2), (37, 1), (45, 1), (50, 2), (53, 2), (55, 1), (92, 1), (117, 1), (193, 1), (261, 1), (268, 1), (269, 1), (292, 1), (337, 1), (410, 1), (457, 1), (498, 1), (506, 1), (531, 1), (704, 2), (897, 3), (902, 1), (1012, 1), (1248, 1), (1714, 1), (1766, 1), (2075, 1), (2184, 1), (2241, 1), (2831, 1), (2906, 1), (2995, 1), (3106, 1), (3468, 1), (5331, 1), (8155, 1), (8174, 1), (9095, 1), (12974, 1), (13150, 1), (15194, 1), (17783, 1), (17784, 1), (17785, 1), (17786, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (45, 1), (50, 1), (65, 1), (256, 1), (414, 1), (706, 1), (1165, 1), (2140, 1), (2365, 1), (3540, 1), (4214, 1), (9572, 1), (15310, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (88, 1), (351, 1), (902, 1), (1324, 1)], [(19, 2), (20, 3), (23, 1), (25, 1), (96, 1), (117, 2), (173, 2), (232, 2), (323, 1), (346, 1), (410, 1), (516, 1), (743, 1), (1714, 1), (3034, 1), (5052, 2)], [(23, 1), (226, 1), (1714, 1), (2515, 1), (2965, 1), (12971, 1)], [(10, 1), (155, 1), (10022, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (117, 2), (226, 1), (232, 1), (256, 1), (269, 1), (885, 1), (8004, 1), (10015, 1), (11314, 1), (14319, 1), (17787, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 1), (172, 1), (203, 1), (268, 2), (1165, 1), (7400, 1)], [(20, 1), (247, 1), (3961, 1), (12620, 1)], [(20, 1), (58, 1), (117, 1), (232, 1), (658, 1), (1714, 1), (17041, 1)], [(8, 1), (20, 1), (22, 1), (190, 1), (214, 1), (269, 1), (325, 1), (418, 1), (949, 1), (990, 1), (1580, 1), (8646, 1)], [(20, 1), (65, 1), (90, 1), (108, 1), (357, 1), (428, 1), (556, 1), (596, 1), (645, 1), (1580, 1), (1714, 1), (2977, 1), (7013, 1), (17788, 1), (17789, 1)], [(8, 1), (77, 1), (833, 1), (2139, 1), (2365, 1), (2470, 1), (12952, 1), (17790, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (90, 1), (99, 1), (236, 1), (949, 1), (3082, 1), (3389, 1)], [(1714, 1), (17640, 1)], [(18, 1), (20, 4), (21, 1), (23, 1), (25, 1), (31, 2), (50, 1), (90, 1), (111, 1), (117, 2), (226, 1), (232, 1), (256, 1), (268, 1), (273, 1), (285, 1), (357, 2), (452, 1), (531, 1), (556, 1), (608, 1), (813, 1), (830, 1), (1714, 1), (1902, 2), (1964, 1), (2149, 1), (2245, 1), (3082, 1), (6864, 1), (6945, 1), (7538, 1), (10494, 1), (14648, 1)], [(1167, 1), (1683, 1), (1714, 1), (17791, 1)], [(20, 1), (949, 1), (1714, 1), (10494, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (117, 1), (232, 1), (419, 1), (658, 1), (949, 1), (3810, 1), (10494, 1), (17792, 1), (17793, 1)], [(24, 1), (117, 1), (232, 1), (247, 1), (1180, 1), (8025, 1)], [(357, 1), (410, 1), (556, 1), (596, 1), (1714, 1), (17794, 1)], [(8, 1), (20, 1), (77, 1), (949, 1), (1964, 1), (2759, 1), (17795, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (53, 1), (117, 1), (232, 1), (357, 1), (420, 1), (556, 1), (672, 1), (812, 1), (893, 1), (897, 1), (1115, 1), (1487, 1), (1755, 1), (4455, 1), (5376, 1), (6936, 1), (13144, 1)], [(247, 1), (1167, 1), (1683, 1), (5134, 1)], [(21, 1), (23, 1), (247, 1), (293, 1), (1902, 1), (2284, 1), (3162, 1), (3182, 1), (3786, 1), (5723, 1)], [(18, 1), (20, 3), (23, 1), (273, 1), (295, 1), (357, 1), (970, 1), (1670, 1), (1714, 1), (2178, 1), (3082, 1), (5198, 1), (6289, 1), (6936, 1), (7977, 1), (13474, 1), (17796, 1)], [(8, 1), (19, 1), (20, 8), (22, 2), (23, 3), (25, 1), (31, 1), (51, 1), (53, 2), (55, 1), (58, 2), (77, 1), (90, 1), (108, 1), (185, 1), (190, 1), (240, 1), (262, 1), (269, 1), (292, 1), (357, 1), (420, 1), (482, 1), (504, 1), (608, 1), (702, 1), (886, 1), (897, 1), (922, 1), (1021, 1), (1580, 1), (1898, 1), (2013, 1), (2184, 1), (2265, 1), (2474, 1), (2588, 1), (3082, 1), (3387, 1), (3638, 3), (4058, 1), (4841, 1), (9608, 1), (14998, 1)], [(51, 1), (82, 1), (90, 1), (357, 1), (1324, 1), (1714, 1), (2621, 1), (4337, 1), (15282, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (32, 1), (949, 1), (1892, 1), (2983, 1), (3200, 1), (17797, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (23, 1), (30, 1), (45, 1), (50, 1), (51, 1), (53, 1), (58, 1), (71, 1), (90, 2), (172, 1), (190, 1), (193, 1), (256, 1), (288, 1), (414, 1), (645, 1), (812, 1), (949, 1), (1277, 1), (1702, 1), (1778, 1), (1901, 1), (1965, 1), (2030, 1), (2744, 1), (3072, 1), (3495, 1), (4901, 1), (7180, 1), (8317, 1), (9837, 1)], [(20, 1), (23, 1), (58, 1), (71, 1), (293, 1), (504, 1), (949, 1), (1053, 1), (1714, 1), (2055, 1), (4987, 1), (17798, 1)], [(8, 1), (20, 1), (77, 1), (122, 1), (645, 1)], [(8, 1), (19, 2), (20, 4), (22, 1), (31, 1), (32, 1), (53, 3), (54, 1), (77, 1), (220, 1), (226, 2), (269, 1), (293, 1), (418, 1), (776, 1), (1139, 1), (1308, 1), (1628, 1), (1670, 1), (1824, 1), (2140, 1), (2184, 1), (2495, 1), (3476, 1), (3638, 2), (4525, 1), (4841, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (328, 3), (357, 1), (505, 1), (1323, 1), (1685, 1), (2127, 1), (2691, 1), (5691, 1), (17799, 1)], [(18, 1), (117, 1), (759, 1), (1714, 1), (2909, 1), (17800, 1)], [(8, 1), (18, 1), (20, 1), (23, 1), (58, 1), (743, 1), (949, 1), (3633, 1), (17798, 1), (17801, 1)], [(8, 1), (20, 1), (897, 1), (10344, 1)], [(20, 3), (22, 1), (25, 2), (31, 1), (32, 1), (71, 1), (82, 1), (90, 1), (328, 1), (357, 2), (387, 1), (448, 1), (672, 1), (830, 1), (1139, 1), (1347, 1), (1598, 1), (1714, 1), (2965, 2), (3034, 1), (3358, 1), (3700, 1), (4136, 1), (4390, 1), (4841, 1), (6286, 1), (7292, 1), (17802, 1), (17803, 1)], [(20, 2), (82, 1), (357, 1), (359, 1), (407, 1), (739, 1), (897, 1), (1665, 1), (1714, 1), (3978, 1), (4841, 1), (6286, 1), (17804, 1)], [(20, 1), (117, 1), (247, 1), (759, 1), (886, 1), (1907, 1), (10402, 1)], [(18, 1), (20, 5), (22, 1), (23, 1), (25, 1), (26, 1), (32, 1), (40, 1), (50, 2), (53, 2), (58, 1), (71, 1), (82, 1), (108, 1), (174, 1), (262, 2), (290, 1), (293, 1), (331, 1), (357, 1), (504, 1), (654, 1), (897, 1), (1102, 1), (1432, 1), (1580, 1), (1702, 1), (1714, 1), (2149, 1), (2548, 1), (3082, 1), (3638, 1), (3860, 1), (15611, 1), (17805, 1), (17806, 1)], [(247, 1), (17807, 1)], [(247, 1), (345, 1), (3642, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 1), (23, 3), (58, 1), (90, 1), (117, 1), (203, 1), (342, 1), (504, 1), (759, 1), (777, 1), (914, 1), (949, 2), (1458, 1), (2498, 1), (3036, 1), (3121, 1), (3652, 1), (14807, 1), (17797, 1)], [(20, 1), (53, 1), (65, 1), (77, 1), (174, 1), (295, 1), (307, 1), (743, 1), (812, 1), (1347, 1), (1481, 1), (1670, 1), (1714, 1), (2633, 1), (3181, 1), (3638, 1), (6788, 1), (6824, 1), (14105, 1)], [(8, 1), (20, 1), (531, 1), (949, 1), (2361, 1), (5956, 1)], [(10, 1), (19, 1), (20, 1), (25, 1), (58, 2), (155, 1), (193, 1), (506, 1), (593, 1), (842, 1), (897, 1), (1324, 1), (10381, 1), (17808, 1), (17809, 1)], [(20, 1), (247, 1), (1583, 1), (4342, 1)], [(18, 1), (19, 2), (20, 2), (23, 1), (25, 1), (108, 1), (185, 1), (215, 1), (242, 1), (247, 1), (325, 1), (414, 1), (790, 1), (800, 1), (1824, 1), (2965, 1), (5141, 1), (6090, 1), (10929, 1), (17810, 1), (17811, 1)], [(8, 1), (55, 1), (65, 1), (71, 1), (82, 1), (90, 1), (97, 1), (190, 1), (1324, 1), (1685, 1), (1686, 1), (17812, 1), (17813, 1), (17814, 1), (17815, 1)], [(8, 1), (22, 1), (23, 2), (25, 1), (31, 1), (53, 1), (56, 1), (71, 1), (117, 2), (215, 1), (232, 1), (285, 1), (310, 1), (1010, 1), (1081, 1), (2985, 1), (3073, 1), (6044, 1)], [(8, 1), (10, 1), (20, 1), (23, 4), (25, 1), (31, 1), (50, 1), (53, 6), (54, 1), (55, 2), (56, 1), (93, 1), (97, 1), (108, 2), (117, 1), (166, 1), (172, 1), (193, 1), (232, 1), (242, 1), (293, 1), (1824, 1), (4058, 1), (4889, 1), (5397, 1), (5942, 1), (6818, 1), (8201, 2), (9325, 1), (13543, 1), (17816, 1), (17817, 1), (17818, 1), (17819, 1)], [(247, 1), (314, 1), (639, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (23, 1), (25, 2), (58, 1), (117, 1), (269, 1), (310, 1), (428, 1), (1149, 1), (1615, 1), (2854, 1), (3121, 1), (6049, 1), (17820, 1), (17821, 1), (17822, 1)], [(8, 1), (241, 1)], [(10, 1), (155, 1), (470, 1), (17725, 1), (17751, 1), (17823, 1)], [(20, 2), (240, 2), (247, 1), (2013, 1)], [(8, 2), (20, 5), (21, 4), (22, 4), (25, 2), (30, 1), (37, 2), (50, 1), (52, 10), (53, 1), (58, 1), (90, 1), (98, 1), (117, 3), (173, 3), (232, 3), (256, 1), (269, 1), (428, 1), (452, 1), (454, 1), (527, 1), (884, 1), (949, 1), (1195, 1), (1342, 1), (1779, 1), (2029, 1), (2490, 3), (3164, 1), (7286, 1), (7295, 3), (9823, 1), (17824, 1)], [(45, 1), (117, 1), (226, 1), (232, 1), (247, 1), (331, 1), (3638, 1)], [(20, 2), (23, 1), (32, 1), (45, 1), (50, 1), (58, 1), (90, 1), (117, 1), (226, 1), (232, 1), (247, 1), (342, 1), (1778, 1), (3202, 1)], [(18, 2), (50, 1), (65, 1), (95, 1), (108, 1), (117, 1), (225, 1), (232, 1), (247, 1), (790, 1), (1088, 1), (3186, 1), (3649, 1)], [(8, 1), (22, 1), (45, 1), (77, 1), (117, 1), (173, 1), (185, 2), (331, 1), (414, 1), (800, 1), (2854, 1), (3638, 1)], [(20, 1), (21, 1), (25, 1), (31, 2), (32, 1), (37, 1), (54, 2), (90, 2), (269, 2), (288, 1), (410, 1), (596, 1), (1248, 2), (1432, 1), (1714, 1), (2965, 2), (3537, 2), (3638, 1)], [(247, 1), (1583, 1)], [(23, 1), (117, 1), (173, 1), (193, 1), (247, 1), (293, 1), (506, 1), (759, 1), (1907, 1), (2202, 1), (2304, 1), (8469, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (23, 1), (50, 1), (65, 2), (90, 1), (117, 2), (232, 1), (256, 1), (273, 1), (275, 1), (516, 1), (711, 1), (813, 1), (1308, 1), (2847, 1), (3073, 1), (17825, 1), (17826, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 1), (26, 1), (51, 1), (53, 2), (55, 1), (65, 2), (85, 1), (99, 1), (108, 1), (117, 1), (232, 1), (328, 1), (334, 1), (338, 1), (428, 1), (505, 1), (506, 1), (516, 1), (680, 1), (743, 1), (812, 1), (884, 1), (913, 1), (1146, 1), (1172, 1), (1485, 1), (1487, 1), (1835, 1), (2015, 1), (2157, 1), (2185, 1), (2434, 1), (3020, 1), (4652, 1), (6505, 1), (17827, 1), (17828, 1), (17829, 1)], [(53, 1), (117, 2), (226, 1), (232, 2), (247, 1), (331, 1), (3638, 1), (17828, 1)], [(20, 1), (25, 1), (174, 1), (247, 1), (1541, 1), (1966, 1), (17830, 1)], [(8, 1), (18, 2), (20, 3), (25, 1), (50, 1), (51, 2), (65, 3), (71, 1), (90, 1), (91, 1), (108, 1), (203, 1), (215, 1), (269, 1), (346, 1), (407, 1), (711, 1), (1159, 1), (1171, 1), (1766, 1), (1877, 1), (2378, 1), (2776, 1), (3240, 1), (5003, 1), (5167, 1), (5788, 1), (6059, 1), (6489, 1), (11076, 1), (13274, 1), (17831, 1), (17832, 1), (17833, 1)], [(8, 1), (18, 1), (22, 1), (117, 1), (173, 1), (232, 1), (301, 1), (2320, 1), (5134, 1), (6315, 1), (8012, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (25, 2), (32, 1), (53, 2), (85, 1), (108, 1), (269, 1), (415, 1), (505, 1), (633, 1), (790, 1), (983, 1), (998, 1), (1670, 1), (1766, 1), (3638, 1), (13867, 1), (17834, 1)], [(20, 2), (99, 1), (247, 1), (328, 1), (8581, 1), (17757, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (25, 1), (37, 1), (45, 1), (51, 1), (53, 1), (55, 2), (58, 1), (65, 2), (75, 1), (94, 1), (108, 1), (111, 1), (117, 2), (186, 1), (215, 1), (232, 1), (287, 1), (307, 1), (328, 1), (498, 1), (600, 1), (834, 1), (1122, 1), (1180, 1), (1458, 1), (1766, 1), (1988, 1), (2906, 1), (3036, 1), (3702, 1), (3994, 1), (4867, 1), (6064, 1), (9050, 1), (9497, 1), (16842, 1), (17210, 1), (17710, 1), (17759, 1), (17835, 1)], [(18, 1), (77, 1), (185, 1), (247, 1), (596, 1), (3638, 1)], [(8, 1), (18, 1), (19, 2), (20, 1), (22, 2), (53, 1), (58, 1), (65, 1), (71, 2), (117, 2), (122, 1), (173, 2), (185, 1), (256, 1), (310, 1), (414, 2), (516, 1), (527, 1), (1931, 1), (2854, 2), (2965, 1), (3242, 1), (3476, 1), (3506, 1), (3638, 1), (3942, 1), (5680, 1), (11248, 1), (17836, 1)], [(247, 1), (8581, 1)], [(8, 1), (20, 2), (23, 1), (53, 2), (69, 1), (173, 1), (186, 1), (884, 1), (1139, 1), (2694, 1), (8243, 1), (8463, 1), (13235, 1), (17837, 1), (17838, 1), (17839, 1)], [(20, 4), (22, 1), (25, 1), (32, 1), (65, 1), (241, 1), (247, 1), (293, 1), (1840, 1), (5332, 1), (10356, 1), (12304, 1)], [(1544, 1), (17840, 1)], [(8, 1), (25, 1), (31, 1), (53, 1), (6315, 1), (7286, 1), (9345, 1)], [(19, 1), (22, 1), (25, 1), (53, 1), (247, 1), (459, 1), (709, 1), (711, 1), (2926, 1), (3134, 1), (3886, 1), (8001, 1), (8815, 1), (12747, 1)], [(8, 1), (18, 1), (22, 1), (53, 2), (55, 1), (172, 1), (186, 1), (203, 1), (268, 1), (426, 1), (537, 1), (680, 1), (2954, 1), (4954, 1), (5649, 1), (5801, 1), (6364, 1), (6559, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (53, 1), (54, 1), (185, 1), (310, 1), (428, 1), (2221, 1), (2348, 1), (4729, 1), (5043, 1), (6084, 1), (6112, 1), (6357, 1), (7286, 1), (17841, 1)], [(7742, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (22, 1), (25, 1), (50, 1), (53, 3), (55, 2), (58, 1), (65, 2), (77, 2), (97, 1), (117, 1), (161, 1), (193, 1), (232, 1), (359, 1), (365, 1), (414, 1), (428, 1), (537, 1), (538, 1), (680, 1), (709, 1), (1253, 1), (1363, 1), (1471, 1), (1483, 1), (1867, 1), (1937, 1), (2523, 1), (3301, 1), (4450, 1), (5040, 1), (5368, 1), (5649, 1), (7742, 1), (9030, 1), (11695, 1), (17244, 1), (17842, 1), (17843, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (31, 1), (50, 1), (53, 5), (71, 1), (161, 1), (214, 1), (680, 1), (1242, 1), (1529, 1), (2466, 1), (2825, 1), (2934, 1), (3067, 1), (3807, 1), (3808, 1), (4730, 1), (5649, 1), (7760, 1), (7846, 1), (8241, 1), (16469, 1), (16550, 1), (17844, 1), (17845, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (50, 1), (53, 6), (54, 1), (97, 1), (109, 2), (269, 1), (346, 1), (428, 1), (1155, 1), (1457, 1), (1692, 1), (1732, 1), (1815, 1), (2036, 1), (3342, 1), (3428, 1), (3542, 1), (4652, 1), (6129, 1), (15860, 1), (17560, 1), (17846, 1), (17847, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (22, 1), (25, 2), (30, 1), (50, 2), (53, 3), (55, 1), (174, 1), (269, 1), (293, 1), (307, 1), (331, 1), (894, 1), (1087, 1), (1873, 1), (1909, 1), (2175, 1), (2265, 1), (2431, 1), (2536, 1), (5986, 1), (6149, 1), (6315, 1), (7286, 1), (7612, 1), (7613, 1), (12685, 1), (17848, 1), (17849, 1), (17850, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (25, 2), (31, 1), (45, 6), (50, 2), (51, 2), (53, 3), (54, 1), (55, 2), (65, 3), (75, 1), (174, 1), (305, 1), (626, 1), (645, 1), (778, 1), (1068, 1), (1458, 1), (1467, 1), (2198, 1), (2345, 1), (2694, 1), (2766, 1), (2863, 1), (2864, 1), (3527, 1), (3638, 2), (4566, 1), (5053, 1), (5816, 1), (8724, 1), (11371, 1), (11376, 1), (17851, 1), (17852, 1), (17853, 1)], [(64, 1), (117, 1), (232, 1), (328, 1), (946, 1), (2010, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (58, 1), (82, 1), (193, 1), (256, 1), (1122, 1), (1574, 1), (2345, 1), (2388, 1), (17854, 1)], [(64, 1), (247, 1), (1549, 1), (2064, 1)], [(1178, 1), (17855, 1)], [(8, 1), (22, 1), (23, 1), (58, 1), (64, 1), (77, 1), (1904, 1), (6315, 1), (13307, 1)], [(8, 1), (20, 1), (24, 1), (31, 1), (53, 1), (77, 1), (537, 1), (949, 1), (1867, 1), (12258, 1)], [(25, 1), (66, 1), (85, 1), (186, 1), (203, 1), (751, 1), (3189, 1), (17856, 1)], [(25, 1), (64, 1), (85, 1), (1009, 1), (1714, 1), (3189, 1), (17856, 1)], [(18, 2), (19, 2), (22, 1), (50, 1), (51, 1), (65, 1), (90, 1), (108, 1), (214, 1), (226, 1), (346, 1), (419, 1), (864, 1), (946, 1), (1713, 1), (3329, 1), (4281, 1), (7341, 1), (8014, 1), (17857, 1)], [(8, 1), (18, 1), (20, 2), (31, 2), (64, 1), (90, 1), (111, 1), (124, 1), (269, 1), (361, 1), (419, 1), (537, 1), (830, 1), (833, 1), (885, 1), (949, 1), (1105, 1), (1140, 1), (1685, 1), (2178, 1), (17858, 1)], [(19, 1), (20, 1), (66, 1), (77, 1), (419, 1), (596, 1), (702, 1), (949, 1), (1240, 1), (1403, 1), (1615, 1), (3832, 1), (5257, 1), (17859, 1)], [(20, 1), (22, 1), (58, 3), (64, 1), (66, 1), (77, 2), (241, 1), (293, 1), (419, 1), (504, 1), (1615, 1)], [(20, 1), (23, 1), (31, 1), (50, 1), (53, 2), (54, 1), (64, 1), (66, 1), (537, 1), (949, 1), (1867, 1), (5052, 1)], [(8, 1), (23, 1), (37, 1), (50, 1), (54, 1), (64, 1), (82, 1), (90, 1), (111, 1), (193, 1), (331, 1), (3358, 1), (5052, 1)], [(247, 1), (17855, 1)], [(58, 1), (247, 1), (496, 1), (5801, 1)], [(8, 1), (23, 1), (37, 1), (117, 1), (1149, 1), (3073, 1), (17860, 1)], [(247, 1), (4939, 1)], [(31, 1), (247, 1), (14928, 2)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (82, 1), (90, 1), (117, 2), (214, 1), (232, 2), (256, 1), (263, 1), (645, 1), (709, 1), (833, 1), (834, 1), (1308, 1), (1348, 1), (2329, 1), (2470, 1), (5649, 2), (6129, 1), (6599, 3)], [(19, 2), (20, 2), (22, 2), (23, 1), (31, 2), (53, 1), (58, 2), (65, 1), (108, 1), (111, 1), (117, 2), (169, 1), (185, 1), (232, 1), (260, 1), (288, 1), (323, 1), (338, 1), (504, 1), (505, 1), (581, 1), (759, 1), (894, 1), (1580, 1), (1585, 1), (1714, 1), (1742, 1), (1907, 1), (2234, 1), (2465, 1), (2517, 2), (3701, 1), (5801, 1), (6165, 1), (8033, 1)], [(247, 1), (7286, 1)], [(23, 1), (53, 1), (66, 1), (82, 1), (117, 1), (172, 1), (2854, 1), (12753, 1), (17856, 1)], [(20, 1), (53, 1), (64, 1), (190, 1), (273, 1), (596, 1), (946, 1), (949, 1), (5597, 1)], [(8, 1), (25, 1), (53, 2), (64, 1), (414, 1), (496, 1), (800, 1), (1361, 1), (5597, 1), (5784, 1), (17861, 1), (17862, 1)], [(596, 1), (1714, 1), (6315, 1), (7836, 1)], [(20, 1), (1714, 1), (5597, 1), (17863, 1)], [(8, 1), (19, 1), (20, 3), (53, 1), (215, 1), (252, 1), (410, 1), (459, 1), (504, 1), (506, 1), (556, 1), (834, 1), (1580, 1), (2029, 1), (4883, 1), (5597, 2), (7286, 1), (17864, 1), (17865, 1)], [(20, 2), (22, 1), (25, 1), (31, 1), (50, 1), (53, 1), (77, 2), (117, 1), (185, 1), (232, 1), (295, 2), (301, 1), (709, 1), (1041, 1), (1170, 1), (1178, 1), (1308, 1), (1549, 1), (1580, 1), (2005, 1), (2064, 1), (2633, 1), (3506, 1), (4883, 1), (5611, 1), (6480, 1), (7463, 1), (16977, 1)], [(18, 3), (19, 1), (20, 5), (22, 2), (23, 1), (25, 2), (31, 3), (50, 2), (53, 3), (55, 1), (58, 1), (64, 2), (66, 1), (69, 1), (82, 1), (90, 1), (96, 1), (124, 1), (126, 1), (173, 1), (197, 1), (233, 1), (240, 1), (245, 1), (256, 1), (285, 1), (293, 1), (388, 1), (428, 1), (441, 1), (601, 1), (645, 2), (673, 1), (697, 1), (777, 1), (833, 2), (899, 1), (903, 2), (1163, 1), (1296, 1), (1308, 1), (1350, 1), (1392, 2), (1572, 1), (1904, 2), (1966, 1), (2772, 1), (3742, 1), (3914, 1), (3999, 1), (4390, 1), (4503, 1), (4686, 1), (4729, 1), (4778, 1), (5516, 1), (5913, 1), (6308, 1), (6315, 2), (11104, 1), (11464, 1), (16071, 1), (16256, 1), (17866, 1), (17867, 1)], [(64, 1), (247, 1), (17868, 1)], [(19, 1), (50, 1), (215, 1), (289, 1), (293, 1), (342, 1), (357, 1), (506, 1), (897, 1), (1178, 1), (1549, 1), (1683, 1), (2064, 1), (5198, 1), (6288, 1), (17869, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (64, 1), (82, 1), (949, 1), (1685, 1), (1824, 1), (3755, 1), (13157, 1)], [(19, 1), (20, 1), (21, 1), (23, 1), (71, 1), (247, 1), (331, 1), (949, 1), (1685, 1), (5198, 1), (17870, 1)], [(20, 1), (82, 1), (415, 1), (419, 1), (833, 1), (946, 1), (1129, 1), (1296, 1), (1904, 1), (3200, 1), (4694, 1), (6315, 1), (12971, 1)], [(10, 1), (18, 1), (20, 2), (25, 2), (50, 1), (53, 3), (58, 1), (64, 1), (65, 2), (77, 3), (90, 2), (109, 1), (117, 1), (168, 1), (232, 1), (269, 2), (332, 1), (345, 1), (351, 1), (392, 1), (395, 1), (407, 1), (433, 1), (600, 1), (777, 2), (782, 1), (1137, 1), (1178, 1), (1549, 1), (1569, 1), (1596, 1), (1904, 1), (2064, 1), (2633, 1), (3315, 1), (3342, 1), (4729, 1), (5153, 1), (6129, 1), (6315, 1), (6770, 1), (7286, 1), (8033, 1), (8035, 1), (9848, 1), (17871, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (45, 1), (50, 2), (53, 4), (69, 1), (90, 1), (99, 1), (172, 1), (173, 1), (236, 1), (261, 1), (285, 1), (286, 1), (347, 1), (529, 1), (531, 1), (1570, 1), (1572, 1), (2055, 1), (2548, 1), (3404, 1), (3531, 1), (7029, 1), (8532, 1), (11084, 1)], [(19, 1), (20, 7), (22, 4), (23, 1), (25, 2), (45, 1), (50, 3), (51, 1), (53, 1), (64, 1), (66, 1), (82, 2), (90, 1), (108, 2), (173, 2), (215, 1), (233, 1), (245, 1), (252, 1), (256, 3), (301, 1), (352, 1), (357, 1), (392, 1), (498, 1), (506, 1), (531, 1), (645, 1), (949, 1), (1350, 1), (1570, 1), (3177, 1), (3918, 1), (4563, 1), (4581, 1), (4729, 1), (4987, 1), (5475, 1), (6315, 2), (6936, 1), (7286, 1), (7427, 3), (8462, 1), (9991, 1), (10081, 1), (17872, 1), (17873, 1)], [(20, 1), (22, 1), (36, 1), (64, 1), (90, 1), (256, 1), (407, 1), (1178, 1), (2474, 1), (2577, 1), (4146, 1), (7910, 1), (17874, 1), (17875, 1)], [(8, 1), (20, 1), (215, 1), (3304, 1), (6315, 1), (7286, 1), (7414, 1)], [(21, 2), (50, 1), (64, 1), (90, 1), (117, 2), (173, 1), (232, 2), (233, 1), (328, 2), (596, 1), (1178, 1), (1901, 1), (6315, 2), (7427, 1)], [(8, 1), (18, 1), (19, 3), (20, 3), (22, 1), (25, 2), (31, 1), (45, 1), (50, 1), (53, 6), (55, 1), (108, 1), (173, 2), (256, 1), (531, 1), (884, 1), (2064, 1), (2157, 1), (2305, 1), (2336, 1), (2348, 1), (2367, 1), (2734, 1), (2831, 1), (3799, 1), (3898, 1), (4729, 1), (5053, 1), (5896, 1), (6526, 1), (6612, 1), (6777, 1), (8035, 1), (9272, 1), (17871, 1), (17876, 1)], [(18, 1), (19, 2), (20, 4), (22, 3), (25, 3), (31, 1), (45, 1), (53, 6), (64, 2), (65, 5), (66, 1), (85, 1), (117, 1), (173, 1), (186, 1), (233, 1), (252, 1), (256, 1), (278, 1), (392, 1), (431, 1), (556, 1), (563, 1), (626, 1), (688, 1), (759, 1), (824, 1), (897, 1), (1042, 2), (1163, 1), (1180, 1), (1506, 1), (1572, 1), (1867, 1), (2066, 1), (2178, 1), (3189, 1), (3540, 1), (4519, 1), (4957, 1), (5478, 1), (5921, 2), (6900, 1), (7286, 1), (17319, 1), (17877, 1)], [(8, 1), (19, 1), (20, 2), (54, 1), (58, 1), (90, 1), (122, 1), (215, 1), (459, 1), (1499, 1), (1820, 1), (1823, 1), (2127, 1), (2149, 1), (4451, 1), (6315, 1), (7286, 1), (7780, 1), (11833, 1)], [(8, 1), (18, 1), (20, 4), (22, 1), (30, 1), (31, 2), (45, 1), (50, 3), (53, 3), (97, 1), (111, 1), (122, 1), (172, 1), (175, 1), (201, 1), (217, 1), (430, 1), (709, 1), (830, 1), (852, 1), (1487, 1), (1792, 1), (1943, 1), (3678, 1), (3999, 1), (5422, 1), (5485, 1), (9444, 1), (10734, 1), (11636, 1), (11824, 1), (17878, 1), (17879, 1), (17880, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (45, 1), (53, 1), (54, 1), (58, 1), (459, 2), (1997, 1), (2387, 1), (12753, 1), (13357, 1), (17856, 1)], [(1544, 1), (17881, 1)], [(8, 1), (31, 1), (2419, 1), (3000, 1), (3614, 1)], [(8, 1), (20, 2), (25, 1), (53, 3), (54, 1), (58, 1), (71, 1), (90, 2), (203, 1), (428, 1), (459, 1), (708, 1), (894, 1), (1477, 1), (1867, 1), (2344, 1), (2772, 1), (2816, 1), (3383, 1), (3709, 1), (5649, 1), (5801, 1), (12668, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (50, 1), (53, 3), (58, 1), (65, 1), (85, 1), (90, 1), (109, 1), (241, 1), (428, 1), (580, 1), (692, 1), (711, 1), (767, 1), (827, 1), (834, 1), (1878, 2), (2401, 1), (2646, 1), (2658, 1), (2967, 1), (3192, 1), (3646, 1), (3690, 1), (5054, 1), (8429, 1), (8436, 1), (10337, 1), (10338, 1), (17882, 1)], [(8, 1), (20, 5), (22, 1), (25, 3), (50, 3), (51, 1), (53, 5), (55, 1), (56, 1), (65, 1), (69, 1), (90, 1), (99, 1), (108, 1), (109, 1), (212, 1), (241, 1), (287, 1), (293, 1), (338, 1), (386, 1), (448, 1), (711, 1), (792, 1), (1904, 1), (2191, 1), (2304, 1), (2464, 1), (3134, 1), (3320, 1), (4765, 1), (5065, 1), (5796, 1), (5901, 1), (6568, 1), (8613, 1), (12837, 1), (13141, 1), (14117, 1), (15331, 1), (17883, 1), (17884, 1), (17885, 1), (17886, 1), (17887, 1)], [(8, 1), (19, 1), (20, 10), (22, 1), (25, 7), (31, 1), (50, 3), (53, 3), (65, 1), (85, 1), (99, 1), (193, 1), (215, 1), (259, 1), (278, 1), (337, 1), (365, 1), (410, 1), (459, 3), (504, 1), (516, 1), (531, 1), (680, 1), (777, 1), (864, 1), (1010, 1), (1057, 1), (1127, 1), (1487, 1), (1615, 1), (1797, 1), (1995, 1), (2163, 1), (2318, 1), (2320, 1), (2344, 1), (2734, 1), (3746, 1), (6165, 1), (6546, 1), (7158, 1), (7426, 1), (11714, 1), (12753, 1), (13895, 1), (17313, 1), (17888, 1), (17889, 1), (17890, 1), (17891, 1), (17892, 1), (17893, 1)], [(8, 1), (18, 1), (31, 1), (37, 1), (45, 1), (53, 1), (54, 1), (55, 1), (65, 1), (215, 1), (706, 1), (709, 1), (3378, 1), (8656, 1), (10259, 1), (15651, 1), (17894, 1)], [(8, 1), (53, 1), (54, 1), (58, 1), (82, 1), (90, 1), (91, 1), (792, 1), (897, 1), (1834, 1), (2013, 1), (17861, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 1), (30, 1), (45, 1), (54, 2), (55, 1), (58, 1), (65, 1), (90, 1), (97, 1), (178, 1), (185, 1), (193, 1), (346, 1), (443, 1), (1342, 1), (1580, 1), (1732, 1), (2189, 1), (2862, 1), (3560, 1), (3614, 1), (4941, 1), (5288, 1), (5306, 1), (6770, 1), (12178, 1), (17895, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (31, 2), (50, 1), (53, 2), (58, 1), (71, 1), (75, 2), (90, 1), (99, 3), (185, 1), (214, 1), (233, 1), (287, 1), (1057, 1), (1615, 1), (1904, 1), (2096, 1), (2775, 1), (3041, 1), (3110, 1), (3161, 1), (5512, 1), (5543, 1), (7745, 1), (8059, 1), (14963, 1), (17896, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (21, 2), (22, 1), (25, 3), (31, 2), (34, 1), (37, 2), (45, 1), (50, 2), (53, 5), (55, 1), (82, 1), (90, 1), (95, 1), (112, 1), (172, 1), (178, 1), (182, 1), (203, 1), (215, 2), (241, 1), (256, 1), (323, 1), (361, 1), (365, 1), (419, 1), (428, 1), (450, 1), (626, 1), (672, 1), (893, 1), (1308, 1), (1495, 1), (1578, 1), (1867, 1), (2286, 1), (2977, 1), (3168, 1), (3614, 1), (4115, 1), (4659, 1), (5649, 1), (7901, 1), (8084, 1), (9608, 1), (12835, 1), (12938, 1), (14377, 1), (15341, 1), (17897, 1), (17898, 1)], [(8, 1), (20, 3), (53, 2), (71, 1), (72, 1), (214, 1), (293, 1), (399, 1), (553, 1), (775, 1), (1471, 1), (1485, 1), (17899, 1)], [(247, 1), (2509, 1), (3614, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 2), (30, 1), (45, 1), (50, 1), (53, 4), (54, 2), (90, 1), (99, 1), (172, 1), (193, 1), (240, 1), (281, 1), (310, 1), (328, 1), (410, 2), (420, 1), (516, 1), (709, 1), (743, 1), (777, 1), (1131, 1), (1139, 1), (1350, 1), (2712, 1), (2795, 1), (2949, 1), (3308, 1), (3412, 1), (4650, 1), (4890, 1), (5745, 1), (5754, 1), (6147, 1), (9703, 1), (10007, 1), (12979, 1), (17900, 1), (17901, 1), (17902, 1)], [(8, 1), (18, 3), (19, 3), (20, 9), (22, 2), (25, 1), (30, 2), (31, 1), (37, 1), (45, 2), (50, 3), (53, 3), (58, 1), (63, 1), (65, 1), (97, 1), (108, 1), (111, 1), (117, 1), (173, 1), (178, 1), (193, 1), (240, 1), (273, 1), (331, 1), (337, 1), (412, 1), (428, 1), (448, 1), (452, 1), (531, 1), (688, 1), (774, 1), (983, 1), (1139, 1), (1448, 1), (2321, 1), (2322, 1), (2344, 1), (2345, 1), (2362, 1), (2847, 1), (3048, 1), (3120, 1), (3402, 1), (3545, 1), (3560, 1), (12178, 1), (12425, 1), (16869, 1), (17903, 1), (17904, 1)], [(8, 1), (20, 1), (25, 2), (30, 1), (31, 1), (45, 1), (50, 1), (65, 1), (173, 1), (174, 1), (256, 2), (328, 1), (412, 1), (834, 1), (884, 1), (903, 1), (1057, 1), (1324, 1), (1347, 1), (1520, 1), (1656, 1), (3423, 1), (3736, 1), (7025, 2), (7853, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 2), (25, 3), (30, 2), (31, 2), (37, 1), (45, 3), (50, 2), (60, 1), (65, 1), (71, 1), (82, 1), (85, 1), (90, 1), (97, 1), (99, 1), (109, 1), (111, 1), (166, 1), (193, 1), (215, 1), (256, 1), (261, 1), (301, 1), (328, 1), (442, 1), (711, 1), (903, 1), (1617, 1), (2016, 1), (2266, 1), (2304, 1), (2474, 1), (2847, 1), (3004, 1), (3936, 1), (4387, 1), (4392, 1), (5161, 1), (5816, 1), (6853, 1), (9908, 1), (11647, 1), (12172, 1), (13136, 1), (17905, 2), (17906, 1), (17907, 1), (17908, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (45, 1), (50, 1), (53, 2), (97, 1), (215, 1), (261, 1), (265, 1), (293, 1), (331, 1), (414, 1), (516, 2), (680, 1), (711, 1), (903, 1), (4394, 1), (4835, 1), (8118, 2), (11424, 1), (15248, 1), (17909, 1)], [(7, 1), (8, 1), (20, 2), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (71, 1), (90, 1), (99, 2), (110, 1), (161, 1), (185, 1), (215, 3), (285, 1), (323, 1), (420, 1), (459, 1), (487, 1), (632, 1), (726, 1), (777, 1), (1072, 1), (1227, 1), (1977, 1), (2712, 1), (2847, 1), (2977, 1), (3128, 1), (4349, 1), (8192, 1), (11018, 1), (13823, 1), (17910, 1), (17911, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (54, 1), (77, 1), (111, 1), (188, 1), (286, 1), (428, 1), (645, 1), (812, 1), (1824, 1), (2140, 1), (2436, 1), (2625, 1), (5533, 1), (5816, 1), (6044, 1)], [(8, 1), (18, 1), (20, 3), (37, 2), (50, 1), (53, 2), (55, 1), (97, 2), (109, 1), (166, 1), (331, 1), (531, 1), (707, 1), (893, 1), (1308, 1), (2145, 1), (2344, 1), (2478, 1), (3542, 1), (4869, 1), (6162, 2), (7690, 1), (11551, 1), (17619, 1), (17912, 1)], [(8, 1), (19, 1), (20, 4), (21, 2), (25, 4), (30, 2), (31, 1), (45, 3), (50, 1), (53, 3), (58, 1), (65, 1), (90, 1), (99, 1), (111, 1), (112, 1), (117, 1), (173, 1), (178, 1), (215, 1), (232, 1), (241, 1), (246, 1), (268, 1), (273, 1), (347, 1), (365, 1), (433, 1), (434, 1), (498, 1), (583, 1), (726, 1), (777, 1), (833, 1), (834, 1), (903, 1), (1001, 1), (1092, 1), (1458, 1), (1638, 1), (2088, 1), (2191, 1), (2268, 1), (2324, 1), (2600, 1), (2656, 1), (2667, 1), (2977, 1), (3048, 1), (3110, 3), (3132, 1), (3614, 1), (4796, 1), (5173, 1), (5559, 1), (8580, 1), (9851, 1), (10929, 1), (11811, 1), (12041, 1), (15094, 1), (17913, 1)], [(7, 1), (8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (30, 1), (45, 1), (50, 2), (53, 1), (54, 1), (96, 1), (108, 1), (173, 2), (186, 1), (195, 1), (215, 1), (236, 1), (256, 1), (645, 1), (1118, 1), (1377, 1), (1506, 1), (3352, 1), (3495, 1), (3614, 1), (3715, 1), (5043, 1), (5527, 1), (8237, 1)], [(8, 1), (18, 1), (19, 4), (20, 15), (22, 4), (25, 5), (30, 4), (31, 5), (34, 1), (36, 1), (37, 2), (45, 4), (50, 5), (53, 10), (54, 2), (55, 1), (58, 1), (65, 1), (71, 1), (72, 1), (75, 1), (82, 2), (85, 1), (90, 5), (108, 2), (173, 2), (214, 1), (229, 2), (233, 1), (256, 1), (269, 1), (281, 1), (289, 1), (293, 3), (314, 1), (323, 2), (337, 1), (347, 3), (361, 1), (420, 1), (450, 1), (459, 1), (516, 1), (518, 1), (526, 1), (599, 1), (697, 1), (711, 1), (778, 1), (827, 1), (834, 1), (884, 1), (893, 1), (922, 1), (924, 2), (1080, 1), (1308, 1), (1324, 1), (1348, 1), (1361, 2), (1448, 2), (1471, 1), (1529, 1), (1651, 1), (1656, 1), (1685, 1), (1731, 1), (1806, 1), (1883, 1), (1931, 1), (2048, 1), (2190, 1), (2242, 1), (2252, 2), (2276, 2), (2343, 1), (2400, 1), (2582, 1), (2640, 1), (2681, 1), (2751, 1), (2926, 1), (3403, 1), (4005, 1), (4349, 1), (4517, 1), (4527, 1), (4903, 1), (5397, 1), (5429, 1), (5473, 1), (5638, 1), (5851, 1), (6892, 1), (7206, 1), (7612, 1), (7943, 1), (10726, 1), (10794, 1), (13506, 1), (17914, 1), (17915, 1), (17916, 1), (17917, 1)], [(8, 1), (19, 2), (20, 3), (31, 1), (36, 1), (45, 1), (50, 1), (53, 3), (65, 2), (90, 1), (173, 1), (193, 1), (236, 1), (365, 1), (516, 1), (827, 1), (983, 1), (1097, 1), (1901, 1), (2469, 1), (2713, 1), (2828, 1), (3048, 1), (3066, 1), (4317, 1), (4826, 1), (6436, 1), (6892, 1), (10591, 1)], [(8, 1), (18, 4), (19, 1), (20, 4), (22, 1), (25, 1), (30, 1), (37, 1), (50, 1), (53, 2), (65, 3), (90, 2), (95, 1), (124, 1), (173, 1), (206, 1), (256, 1), (289, 1), (373, 1), (392, 1), (459, 1), (516, 2), (654, 1), (697, 1), (827, 1), (834, 1), (1102, 1), (1165, 1), (1329, 1), (1361, 1), (1609, 1), (2252, 1), (2424, 1), (2823, 1), (3413, 1), (3740, 1), (5407, 1), (5473, 1), (7200, 1), (7211, 1), (7305, 1), (7463, 1), (17918, 1)], [(8, 1), (19, 1), (20, 3), (46, 1), (53, 1), (54, 2), (58, 1), (117, 1), (185, 1), (188, 1), (193, 1), (232, 1), (346, 1), (353, 1), (420, 1), (601, 1), (776, 1), (1685, 1), (2847, 1), (3082, 1), (3614, 1), (3678, 1), (3867, 1), (4957, 1), (5105, 1), (8831, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (25, 1), (50, 1), (51, 1), (53, 3), (54, 2), (65, 1), (71, 1), (97, 1), (109, 2), (174, 1), (206, 1), (217, 1), (281, 1), (347, 1), (351, 1), (353, 1), (448, 1), (703, 1), (1087, 1), (1488, 1), (1609, 2), (1667, 1), (2251, 1), (2276, 1), (2685, 1), (2753, 1), (3482, 1), (3651, 1), (5938, 1), (8452, 1), (10709, 1), (17919, 1)], [(8, 1), (20, 4), (25, 1), (37, 1), (45, 2), (50, 2), (53, 5), (54, 1), (55, 2), (117, 2), (173, 2), (215, 1), (232, 2), (334, 1), (416, 1), (428, 1), (833, 1), (902, 1), (1165, 1), (1931, 1), (1958, 1), (2354, 1), (2813, 1), (3082, 1), (3138, 1), (3614, 2), (3808, 1), (4793, 1), (5224, 1), (7802, 2), (8004, 1), (10496, 1), (11655, 1), (13477, 1), (14453, 1), (17920, 1), (17921, 1)], [(64, 1), (247, 1), (2058, 1)], [(178, 1), (247, 1), (1180, 1)], [(8, 1), (19, 1), (32, 1), (53, 1), (117, 1), (172, 1), (173, 1), (1163, 1), (1960, 1), (2854, 1), (5161, 1), (6161, 1), (7152, 1), (17922, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (25, 2), (32, 1), (45, 1), (53, 4), (54, 1), (58, 1), (65, 1), (71, 1), (108, 1), (193, 1), (353, 1), (406, 1), (414, 1), (418, 1), (897, 1), (1041, 1), (1609, 1), (1909, 1), (2857, 1), (3075, 1), (3082, 1), (3102, 1), (3493, 1), (3685, 1), (4874, 1), (4875, 1), (6501, 1), (12527, 1), (15421, 1), (15753, 1), (15917, 1), (17923, 1), (17924, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (45, 1), (53, 1), (106, 1), (173, 1), (608, 1), (2753, 1), (3181, 1), (9139, 1), (11814, 1)], [(8, 1), (20, 3), (25, 3), (31, 1), (53, 3), (54, 1), (55, 1), (58, 2), (90, 1), (108, 1), (173, 1), (459, 1), (490, 1), (711, 1), (998, 1), (1462, 1), (1609, 1), (1824, 1), (2217, 1), (2344, 1), (2348, 1), (2855, 1), (3013, 1), (3112, 1), (5825, 1), (6105, 1), (6371, 1), (6555, 1), (6649, 1), (9792, 1), (14203, 1)], [(8, 1), (19, 4), (20, 8), (22, 2), (25, 1), (30, 2), (37, 1), (50, 1), (53, 6), (54, 1), (55, 1), (65, 1), (71, 2), (90, 2), (97, 1), (108, 1), (117, 1), (161, 1), (178, 1), (190, 1), (197, 1), (214, 1), (232, 1), (256, 1), (269, 1), (293, 1), (328, 1), (387, 1), (407, 1), (414, 1), (434, 1), (443, 1), (448, 1), (586, 1), (600, 1), (605, 1), (711, 1), (743, 1), (884, 1), (1115, 1), (1324, 1), (1350, 1), (1609, 1), (1911, 1), (2064, 1), (2621, 1), (2911, 1), (3052, 1), (3062, 1), (3140, 1), (3614, 1), (3867, 1), (4078, 1), (4210, 1), (4782, 1), (5006, 1), (5013, 1), (5259, 1), (5559, 1), (5744, 1), (6310, 1), (10444, 1), (12346, 1), (14127, 1), (17925, 1), (17926, 1)], [(8, 1), (20, 1), (31, 1), (45, 1), (53, 1), (55, 1), (174, 1), (220, 1), (531, 1), (777, 1), (1310, 1), (1609, 1), (3048, 1), (3614, 1), (17927, 1), (17928, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (36, 1), (45, 2), (50, 2), (53, 4), (55, 1), (58, 1), (72, 1), (108, 1), (109, 1), (269, 1), (347, 2), (373, 1), (725, 1), (897, 2), (1596, 1), (1609, 1), (2099, 1), (2259, 1), (2457, 1), (2543, 1), (2734, 1), (3891, 1), (17273, 1)], [(7, 1), (8, 1), (18, 4), (19, 1), (20, 6), (22, 1), (25, 2), (31, 1), (32, 1), (45, 2), (50, 4), (53, 4), (54, 1), (58, 1), (65, 1), (71, 1), (90, 1), (108, 1), (161, 1), (168, 1), (173, 1), (186, 2), (193, 2), (229, 1), (347, 1), (388, 1), (392, 1), (428, 1), (432, 1), (441, 1), (459, 1), (504, 1), (601, 1), (680, 1), (706, 1), (725, 1), (752, 1), (827, 1), (885, 1), (897, 1), (1041, 1), (1122, 1), (1262, 1), (1867, 1), (2163, 1), (2208, 1), (2318, 1), (2471, 1), (2516, 1), (2667, 1), (2786, 1), (2849, 1), (3121, 1), (3614, 1), (3879, 1), (4219, 1), (6349, 1), (8580, 1), (9739, 1), (11360, 1), (14153, 1), (16656, 1), (17929, 1), (17930, 1), (17931, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 1), (36, 1), (45, 2), (85, 1), (269, 1), (287, 1), (654, 1), (673, 1), (772, 1), (842, 1), (884, 1), (897, 1), (1520, 1), (2208, 1), (2324, 1), (3022, 1), (6082, 1), (6090, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (30, 1), (45, 2), (53, 1), (55, 1), (58, 1), (71, 1), (72, 2), (108, 1), (173, 2), (414, 1), (558, 1), (725, 1), (777, 1), (1609, 1), (2036, 1), (2157, 1), (3468, 1), (3974, 1), (6082, 1), (9731, 1), (14203, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (25, 1), (31, 2), (45, 2), (55, 2), (239, 1), (256, 1), (328, 1), (706, 1), (777, 1), (884, 1), (1596, 1), (1609, 1), (2324, 1), (2406, 1), (3614, 1), (4289, 1), (7697, 1), (9735, 1), (14749, 1)], [(8, 1), (10, 1), (19, 1), (20, 1), (22, 1), (25, 1), (31, 1), (45, 1), (58, 2), (64, 2), (71, 1), (77, 1), (173, 1), (190, 1), (193, 1), (782, 1), (1685, 1), (2126, 1), (2344, 1), (3048, 1), (7045, 1), (7414, 1), (16839, 1), (17932, 1)], [(7, 2), (8, 1), (19, 1), (20, 6), (22, 1), (25, 1), (30, 2), (31, 1), (37, 1), (45, 1), (53, 2), (54, 1), (55, 1), (75, 1), (173, 1), (185, 2), (217, 1), (301, 1), (323, 1), (347, 1), (415, 1), (707, 1), (1139, 1), (1529, 1), (1732, 1), (2270, 1), (2324, 1), (2354, 1), (2541, 1), (2613, 1), (3103, 1), (3181, 1), (3791, 1), (8198, 1), (8204, 1), (12760, 1), (17933, 1)], [(64, 1), (247, 1), (2509, 1), (17934, 1)], [(37, 1), (55, 1), (172, 1), (185, 1), (190, 1), (295, 1), (812, 1), (1714, 1), (2337, 1), (3181, 1), (16046, 1)], [(32, 1), (287, 1), (295, 1), (1139, 1), (1714, 1)], [(19, 1), (20, 1), (53, 2), (55, 1), (65, 1), (108, 1), (190, 1), (214, 1), (269, 1), (295, 2), (301, 1), (504, 1), (506, 1), (680, 1), (834, 1), (884, 1), (914, 1), (1139, 1), (1308, 1), (1685, 1), (1714, 1), (1832, 1), (4167, 1), (4212, 1), (4532, 1), (7628, 1), (10679, 1), (17935, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (32, 1), (85, 1), (117, 2), (173, 1), (174, 1), (217, 1), (232, 2), (269, 1), (323, 1), (342, 1), (392, 1), (834, 1), (1348, 1), (4758, 1), (8198, 1), (17935, 1), (17936, 1)], [(20, 1), (22, 2), (30, 2), (71, 1), (108, 2), (169, 1), (173, 1), (203, 1), (247, 1), (295, 1), (452, 1), (869, 1), (897, 1), (1170, 1), (7177, 1), (10852, 1)], [(8, 1), (23, 1), (45, 1), (58, 1), (117, 1), (173, 1), (232, 1), (686, 1), (894, 1), (1656, 1), (1902, 1), (8204, 1)], [(18, 1), (20, 2), (65, 2), (247, 1), (10392, 1), (10393, 3)], [(20, 2), (22, 1), (23, 1), (25, 1), (66, 1), (117, 1), (295, 1), (324, 1), (346, 1), (2854, 1), (3127, 1), (3614, 1), (4532, 1), (5161, 1), (5559, 1)], [(7, 1), (8, 1), (20, 6), (22, 1), (23, 1), (25, 1), (31, 4), (37, 1), (53, 2), (58, 1), (64, 2), (76, 1), (77, 1), (85, 1), (90, 3), (172, 2), (212, 2), (217, 1), (310, 1), (347, 1), (420, 1), (448, 1), (450, 2), (600, 1), (834, 1), (1163, 1), (2029, 1), (2030, 1), (2055, 1), (2388, 1), (3129, 1), (3254, 1), (3384, 1), (4143, 1), (4787, 1), (5236, 1), (6103, 1), (6396, 1), (7236, 1), (7286, 1), (7396, 1), (7414, 1), (10417, 1), (13173, 1), (14469, 1), (17937, 1), (17938, 2)], [(8, 1), (19, 1), (20, 4), (31, 1), (37, 1), (45, 1), (50, 2), (84, 1), (178, 1), (185, 1), (241, 1), (1580, 1), (2847, 1), (5132, 2), (8198, 1), (10816, 1), (10955, 1), (12279, 1), (13171, 1), (17939, 1), (17940, 1), (17941, 1)], [(20, 1), (90, 1), (173, 1), (247, 1), (256, 1), (328, 1), (599, 1), (1323, 1), (1683, 1), (8598, 1)], [(32, 1), (66, 1), (124, 1), (173, 1), (256, 1), (392, 1), (1458, 1), (2725, 1), (11679, 1)], [(25, 1), (64, 1), (247, 1), (418, 2), (10355, 1)], [(18, 1), (30, 1), (50, 1), (117, 1), (232, 1), (247, 1), (496, 1), (885, 1), (5216, 1)], [(20, 1), (45, 1), (117, 1), (232, 1), (1139, 1), (1714, 1), (2259, 1), (12620, 1)], [(18, 1), (20, 2), (58, 1), (65, 2), (226, 1), (247, 1), (2633, 1), (4575, 1), (10392, 1), (10393, 3), (11988, 1)], [(247, 1), (9920, 1)], [(18, 1), (19, 1), (25, 1), (32, 1), (45, 1), (108, 1), (247, 1), (274, 1), (281, 1), (706, 1), (1583, 1), (3465, 1), (5569, 1), (6351, 1)], [(22, 2), (50, 1), (88, 1), (90, 2), (247, 1), (295, 2), (1594, 1), (2178, 1), (3465, 3), (3614, 3), (3786, 2), (5047, 1), (14069, 3)], [(20, 2), (22, 1), (23, 1), (247, 1), (273, 1), (3465, 3)], [(18, 2), (20, 1), (22, 1), (37, 1), (85, 1), (117, 1), (173, 1), (247, 1), (256, 1), (281, 1), (884, 1), (1902, 1), (3459, 1), (4349, 2), (5142, 1), (7687, 1), (8198, 2)], [(18, 4), (20, 3), (22, 2), (37, 1), (53, 1), (117, 1), (169, 1), (173, 1), (232, 1), (247, 1), (295, 2), (504, 1), (2145, 1), (3459, 3), (8198, 1), (8598, 1), (17935, 1), (17942, 1)], [(18, 1), (65, 1), (91, 1), (95, 1), (109, 1), (173, 1), (247, 1), (373, 1), (1744, 1), (3366, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (30, 1), (117, 1), (124, 1), (173, 1), (226, 1), (459, 1), (504, 1), (776, 1), (777, 1), (812, 1), (1075, 1), (1580, 1), (4532, 1), (5142, 1), (5216, 1), (5559, 1), (8198, 1), (8204, 1), (9620, 1)], [(20, 1), (247, 1), (268, 1), (1165, 1)], [(21, 1), (37, 1), (91, 1), (247, 1), (281, 2), (17943, 1), (17944, 2)], [(8, 1), (18, 1), (20, 1), (65, 1), (90, 1), (95, 1), (109, 1), (117, 1), (287, 1), (373, 1), (496, 1), (516, 1), (2906, 1), (3366, 1), (8198, 1), (10443, 1)], [(247, 1), (17945, 1)], [(1178, 1), (17944, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (37, 1), (55, 1), (185, 1), (215, 1), (261, 1), (504, 1), (2324, 1), (3614, 1), (3679, 1), (4576, 1), (7192, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (45, 1), (53, 1), (54, 2), (645, 1), (1324, 1), (1915, 1), (3048, 1), (4437, 1), (8198, 1), (16839, 1)], [(8, 1), (18, 3), (20, 9), (22, 3), (25, 2), (31, 1), (32, 2), (45, 3), (50, 2), (53, 2), (54, 3), (78, 1), (82, 1), (90, 3), (97, 1), (108, 1), (117, 1), (166, 1), (173, 6), (185, 1), (193, 1), (197, 1), (232, 1), (233, 1), (268, 1), (301, 1), (328, 1), (347, 3), (353, 1), (392, 2), (410, 1), (420, 1), (448, 1), (450, 1), (884, 1), (892, 1), (903, 1), (983, 1), (1416, 1), (1594, 1), (1609, 1), (1627, 1), (1731, 1), (1824, 1), (1856, 1), (1902, 1), (2178, 1), (2362, 1), (2371, 1), (3067, 1), (3082, 1), (3237, 1), (3301, 1), (3448, 1), (3594, 1), (3614, 1), (4299, 1), (4402, 1), (4839, 1), (4896, 1), (5161, 1), (5559, 1), (5999, 1), (6361, 1), (7193, 1), (7764, 1), (7895, 1), (10668, 1), (14986, 1), (15796, 1), (15838, 1), (17946, 1), (17947, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (30, 1), (45, 1), (50, 1), (54, 1), (111, 1), (190, 1), (229, 1), (490, 1), (530, 1), (897, 1), (1196, 1), (2964, 1), (3476, 1), (5161, 1), (5527, 1), (12369, 1)], [(8, 1), (20, 1), (36, 1), (1169, 1), (3052, 1)], [(8, 1), (18, 4), (19, 1), (20, 7), (30, 1), (45, 1), (50, 1), (54, 1), (58, 1), (82, 1), (90, 2), (95, 1), (98, 1), (111, 2), (117, 1), (166, 1), (175, 1), (186, 1), (232, 1), (256, 1), (353, 1), (359, 1), (392, 1), (448, 1), (504, 1), (527, 1), (645, 1), (810, 1), (813, 1), (1585, 1), (1594, 1), (3129, 1), (3476, 1), (3614, 1), (7547, 1), (10741, 1), (17906, 1), (17948, 1), (17949, 1)], [(8, 1), (18, 3), (20, 4), (22, 1), (25, 1), (31, 1), (65, 1), (69, 1), (71, 1), (77, 2), (90, 1), (185, 1), (222, 1), (240, 1), (328, 1), (346, 1), (361, 1), (462, 1), (645, 1), (830, 1), (1350, 1), (1458, 1), (1529, 1), (1915, 2), (2036, 1), (2037, 1), (2712, 2), (3752, 1), (3813, 2), (5052, 1), (14691, 1), (17950, 1)], [(8, 1), (10, 1), (11, 1), (18, 6), (19, 1), (20, 7), (22, 1), (25, 4), (31, 1), (45, 3), (50, 1), (53, 2), (55, 1), (85, 1), (108, 2), (173, 1), (193, 1), (241, 1), (256, 1), (337, 1), (373, 1), (406, 1), (412, 1), (414, 1), (428, 1), (704, 1), (706, 1), (884, 1), (897, 1), (1175, 1), (1342, 1), (1377, 2), (1430, 1), (1520, 1), (1580, 1), (1766, 1), (1856, 1), (2178, 2), (2259, 1), (2397, 1), (3352, 1), (3400, 1), (3468, 1), (3614, 1), (3894, 1), (4896, 1), (5486, 1), (5712, 1), (6952, 1), (7109, 1), (7329, 1), (8576, 1), (9465, 1), (11522, 1), (11981, 1), (12021, 1), (12059, 1), (12217, 1), (12753, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (31, 1), (32, 1), (45, 2), (50, 1), (58, 1), (65, 1), (91, 1), (108, 1), (173, 1), (328, 1), (365, 1), (428, 1), (753, 1), (902, 1), (1068, 1), (1609, 1), (2168, 1), (2208, 1), (2839, 1), (2995, 1), (3623, 1), (4109, 1), (17951, 1), (17952, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (26, 1), (31, 2), (37, 1), (45, 2), (50, 2), (53, 2), (54, 1), (55, 1), (58, 1), (90, 1), (173, 2), (414, 1), (697, 1), (903, 1), (1305, 1), (1665, 1), (1703, 1), (2137, 1), (2480, 1), (2773, 1), (3079, 1), (3423, 1), (3450, 1), (3583, 1), (4085, 1), (6264, 1), (7497, 1), (13235, 1), (13308, 1), (14203, 1), (17466, 1)], [(7, 1), (8, 1), (18, 5), (19, 3), (20, 6), (22, 4), (25, 5), (26, 1), (29, 1), (31, 3), (45, 4), (50, 4), (53, 7), (54, 1), (55, 1), (71, 1), (82, 1), (85, 1), (90, 1), (91, 1), (166, 1), (168, 1), (185, 1), (206, 1), (217, 1), (229, 2), (246, 1), (256, 1), (260, 1), (269, 1), (293, 2), (305, 1), (314, 1), (323, 1), (331, 1), (347, 2), (414, 2), (459, 2), (509, 1), (556, 1), (608, 2), (672, 1), (711, 1), (834, 1), (1102, 1), (1324, 1), (1365, 1), (1377, 1), (1519, 1), (1862, 1), (2268, 1), (2344, 1), (2670, 1), (2862, 1), (3138, 1), (3409, 1), (3423, 1), (3476, 1), (3614, 1), (3923, 1), (3973, 1), (4297, 1), (4299, 1), (4532, 1), (4556, 1), (4806, 1), (5557, 2), (5673, 1), (5816, 1), (6516, 1), (10203, 1), (11938, 1), (14289, 1), (15179, 1), (15619, 1), (17800, 1), (17953, 1), (17954, 1), (17955, 1), (17956, 1)], [(19, 1), (20, 2), (45, 1), (50, 2), (53, 1), (58, 1), (90, 1), (97, 1), (109, 1), (172, 1), (178, 1), (185, 1), (203, 1), (217, 1), (236, 1), (258, 1), (269, 1), (331, 1), (420, 1), (1178, 1), (1198, 1), (1324, 1), (1574, 1), (1583, 1), (2168, 1), (2545, 1), (2926, 1), (3614, 1), (6315, 1), (6335, 1), (17219, 1), (17957, 1), (17958, 1)], [(1544, 1), (17959, 1)], [(8, 1), (24, 1), (1155, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 2), (23, 1), (32, 1), (50, 2), (53, 3), (54, 1), (55, 1), (58, 1), (82, 1), (90, 1), (108, 2), (109, 1), (166, 1), (172, 1), (174, 1), (193, 1), (281, 1), (334, 1), (395, 1), (415, 1), (419, 1), (459, 1), (487, 1), (506, 1), (583, 1), (1155, 1), (1169, 1), (1403, 1), (1525, 1), (1580, 2), (1651, 1), (1734, 1), (1806, 1), (2163, 1), (2284, 1), (2344, 1), (3013, 1), (3342, 1), (4422, 1), (5420, 1), (5487, 1), (7678, 1), (15806, 1), (17846, 1), (17960, 1), (17961, 1), (17962, 1)], [(8, 2), (19, 1), (20, 2), (22, 1), (50, 2), (53, 2), (77, 1), (82, 1), (96, 1), (185, 1), (246, 1), (269, 1), (351, 1), (365, 1), (410, 1), (448, 1), (516, 1), (777, 1), (834, 1), (886, 1), (1071, 1), (1470, 1), (1628, 1), (1779, 1), (3254, 1), (3524, 1), (3741, 1), (4167, 1), (4317, 1), (5173, 1), (8650, 1), (10074, 1), (13313, 1), (13516, 1), (17963, 1), (17964, 1), (17965, 1), (17966, 1)], [(7, 1), (8, 1), (20, 11), (22, 4), (25, 6), (31, 1), (37, 2), (40, 1), (50, 2), (53, 2), (58, 1), (65, 3), (77, 1), (90, 2), (108, 1), (112, 2), (117, 1), (206, 1), (226, 1), (256, 1), (293, 1), (331, 1), (353, 1), (365, 1), (404, 1), (419, 1), (435, 2), (450, 2), (516, 1), (694, 1), (743, 1), (777, 1), (1091, 1), (1270, 1), (1476, 1), (1571, 1), (1600, 1), (1687, 1), (1702, 1), (1879, 1), (2600, 1), (2601, 1), (2960, 1), (3161, 1), (3273, 2), (3633, 1), (3728, 1), (4977, 1), (5360, 1), (7125, 1), (9149, 1), (9786, 1), (10231, 1), (11288, 1), (11350, 1), (17568, 1), (17967, 1), (17968, 1), (17969, 1), (17970, 1), (17971, 1), (17972, 1)], [(8, 1), (20, 3), (40, 1), (45, 1), (50, 1), (53, 1), (71, 1), (161, 1), (185, 1), (203, 1), (337, 1), (365, 1), (553, 1), (776, 1), (1155, 1), (5420, 1), (9661, 1), (11018, 1), (17934, 1), (17973, 1), (17974, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 3), (56, 1), (122, 1), (256, 1), (394, 1), (583, 1), (827, 1), (1041, 1), (1116, 1), (1266, 1), (3468, 1), (4652, 1), (17975, 1)], [(7, 1), (8, 1), (20, 7), (22, 1), (24, 1), (25, 3), (37, 1), (50, 4), (53, 4), (65, 3), (256, 2), (435, 1), (600, 1), (833, 1), (922, 1), (1146, 1), (1467, 1), (1529, 1), (1649, 1), (1651, 1), (1702, 1), (2036, 1), (2189, 1), (2366, 1), (3041, 1), (3303, 1), (3422, 1), (3831, 1), (4138, 1), (4372, 1), (4903, 1), (5465, 1), (7031, 1), (7752, 1), (9779, 1), (9910, 1), (10726, 1), (11042, 1), (12337, 1), (13827, 1), (16888, 1), (17454, 1), (17882, 1), (17976, 1), (17977, 1), (17978, 1), (17979, 1), (17980, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (29, 1), (37, 1), (50, 1), (53, 2), (56, 1), (58, 1), (65, 1), (117, 1), (168, 1), (185, 1), (232, 1), (269, 1), (410, 1), (425, 1), (525, 1), (675, 1), (1092, 1), (1155, 1), (2175, 1), (2985, 1), (4062, 1), (4789, 1), (4796, 1), (5464, 1), (7956, 1), (13615, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (53, 1), (99, 1), (203, 1), (229, 1), (324, 1), (706, 1), (834, 1), (1899, 1), (4353, 1), (5066, 1), (5273, 1), (6090, 1), (9781, 1), (17981, 1), (17982, 1)], [(8, 1), (10, 1), (20, 2), (22, 1), (25, 1), (27, 1), (31, 2), (45, 1), (50, 2), (53, 7), (55, 2), (71, 2), (90, 1), (97, 1), (109, 1), (117, 1), (173, 1), (193, 1), (203, 2), (215, 1), (232, 1), (246, 1), (260, 1), (269, 1), (301, 1), (365, 2), (415, 1), (516, 1), (531, 1), (669, 1), (679, 1), (756, 1), (782, 1), (894, 1), (897, 1), (1467, 1), (1520, 1), (1651, 1), (1698, 1), (1883, 1), (1914, 1), (2184, 1), (2734, 1), (2965, 1), (3132, 1), (3858, 1), (4167, 1), (4201, 1), (5677, 1), (6315, 1), (6510, 1), (6827, 1), (6918, 1), (8370, 1), (9361, 1), (10023, 1), (10233, 1), (10515, 1), (10773, 1), (11911, 1), (14399, 1), (17846, 1), (17982, 1), (17983, 1), (17984, 1), (17985, 1)], [(8, 1), (20, 2), (25, 1), (51, 1), (53, 2), (65, 1), (69, 1), (117, 1), (193, 1), (206, 1), (232, 1), (281, 1), (406, 1), (433, 1), (645, 1), (1392, 1), (2196, 1), (2667, 1), (4652, 1), (5054, 1), (5487, 1), (6149, 1), (8343, 1), (10796, 1), (17986, 1)], [(18, 1), (20, 2), (22, 2), (31, 1), (37, 1), (45, 3), (50, 2), (53, 3), (64, 1), (92, 1), (116, 1), (117, 1), (232, 1), (247, 1), (452, 1), (516, 2), (1564, 1), (1799, 1), (2831, 1), (2886, 2), (3000, 1), (3020, 1), (3118, 1), (3611, 1), (4623, 1), (5460, 1), (6165, 1), (7913, 1), (8388, 1), (13813, 1), (15202, 1), (15421, 1), (17987, 1)], [(53, 1), (676, 1), (756, 1), (1021, 1), (1178, 1), (2336, 1), (10515, 1)], [(1544, 1), (17988, 1)], [(8, 1), (24, 1), (17989, 1)], [(7, 2), (8, 1), (19, 4), (20, 13), (22, 2), (25, 4), (31, 2), (32, 2), (45, 2), (50, 1), (51, 1), (53, 6), (58, 1), (65, 1), (69, 1), (71, 1), (82, 1), (90, 1), (91, 1), (108, 3), (111, 2), (117, 1), (206, 1), (232, 1), (256, 1), (337, 1), (347, 1), (373, 1), (414, 1), (448, 1), (450, 1), (608, 1), (775, 1), (827, 1), (884, 1), (936, 1), (1313, 1), (1377, 1), (1458, 1), (1467, 1), (1685, 1), (1702, 1), (1867, 1), (1883, 1), (2064, 1), (2148, 1), (2538, 1), (2967, 1), (3197, 1), (3315, 1), (3321, 1), (3572, 1), (3638, 1), (4210, 1), (4225, 1), (4450, 1), (4555, 1), (4941, 1), (6315, 1), (7193, 1), (7824, 1), (8082, 1), (8154, 1), (10017, 1), (10287, 1), (11115, 1), (12156, 1), (12314, 1), (13204, 1), (14622, 1), (14765, 1), (15865, 1), (16628, 1), (16755, 1), (17636, 1), (17637, 1), (17655, 1), (17990, 1), (17991, 1), (17992, 1), (17993, 1), (17994, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 1), (25, 2), (37, 1), (45, 1), (65, 2), (71, 2), (173, 2), (197, 1), (215, 1), (285, 1), (373, 1), (531, 1), (1481, 1), (2024, 1), (2541, 1), (2718, 1), (2719, 1), (3521, 1), (3796, 1), (3827, 1), (3842, 1), (4988, 1), (5247, 1), (5806, 1), (5998, 1), (7640, 1), (13891, 1), (14186, 1), (17995, 1)], [(7, 1), (8, 1), (18, 2), (20, 1), (51, 1), (54, 1), (117, 1), (185, 1), (232, 1), (508, 2), (645, 1), (1069, 1), (3828, 1), (6495, 1), (15679, 1)], [(8, 1), (20, 2), (30, 1), (109, 1), (268, 2), (702, 1), (792, 1), (1165, 1), (6704, 1), (16606, 1), (17996, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (29, 1), (45, 3), (50, 2), (53, 2), (173, 1), (215, 1), (425, 2), (459, 1), (504, 1), (505, 1), (626, 1), (777, 1), (1324, 1), (1392, 1), (1702, 1), (2716, 1), (2772, 1), (3378, 2), (4592, 1), (5066, 1), (5512, 1), (6495, 1), (10148, 1), (13891, 1), (17997, 1), (17998, 1)], [(54, 1), (58, 1), (247, 1), (293, 1), (331, 1), (2326, 1), (2633, 1), (11064, 1)], [(8, 1), (18, 1), (20, 2), (31, 2), (45, 1), (50, 2), (51, 1), (53, 3), (126, 1), (185, 1), (193, 1), (213, 1), (256, 1), (347, 1), (526, 1), (531, 1), (645, 1), (1276, 1), (1278, 1), (1393, 1), (1488, 1), (2934, 1), (3160, 1), (3780, 1), (3981, 1), (7157, 1), (8334, 1), (17999, 1), (18000, 1)], [(8, 1), (19, 2), (22, 1), (25, 1), (31, 1), (32, 1), (45, 1), (50, 2), (53, 2), (58, 1), (90, 1), (173, 1), (197, 1), (269, 1), (293, 1), (331, 1), (347, 1), (426, 1), (450, 1), (1644, 1), (1884, 1), (4383, 1), (4659, 1), (4744, 1), (4778, 1), (5942, 1), (7893, 1), (7942, 1), (18001, 1), (18002, 1)], [(8, 1), (18, 1), (20, 6), (25, 2), (30, 1), (31, 1), (53, 3), (65, 1), (82, 1), (117, 1), (232, 1), (269, 1), (414, 1), (418, 1), (445, 1), (777, 1), (1350, 1), (1694, 1), (2036, 1), (2448, 1), (2646, 1), (2650, 1), (2825, 1), (2841, 1), (3331, 1), (3480, 1), (4326, 1), (4878, 1), (5895, 1), (7752, 1), (14382, 1), (14703, 1), (17636, 1), (18003, 1), (18004, 1), (18005, 1), (18006, 1)], [(8, 1), (20, 1), (24, 1), (50, 2), (53, 2), (54, 1), (704, 1), (2479, 1), (6699, 1), (12439, 1), (17923, 1)], [(7, 1), (8, 1), (20, 4), (25, 2), (45, 1), (50, 4), (53, 4), (85, 1), (117, 1), (174, 1), (185, 1), (193, 1), (215, 1), (232, 1), (269, 1), (404, 1), (426, 1), (505, 1), (1596, 2), (1824, 1), (2039, 1), (2344, 1), (4229, 1), (6610, 1), (7051, 1), (10959, 1), (11757, 1), (17619, 1), (18007, 1), (18008, 1)], [(8, 1), (20, 3), (31, 1), (36, 1), (50, 1), (51, 1), (53, 1), (54, 1), (72, 1), (90, 1), (117, 1), (193, 1), (232, 1), (323, 1), (347, 1), (387, 1), (463, 1), (531, 1), (622, 1), (645, 1), (1241, 1), (4249, 1), (6700, 1), (7442, 1), (18009, 1), (18010, 1)], [(8, 1), (18, 4), (19, 2), (20, 6), (22, 3), (25, 3), (31, 1), (36, 1), (50, 1), (55, 1), (65, 2), (197, 1), (217, 1), (347, 1), (516, 1), (531, 1), (628, 1), (798, 1), (1128, 1), (1248, 1), (1685, 1), (1695, 1), (2321, 1), (2348, 1), (2407, 1), (2564, 1), (3170, 1), (3647, 1), (3649, 1), (4138, 1), (5560, 1), (6101, 1), (6620, 1), (6839, 1), (8056, 1), (11595, 1), (15380, 1), (17307, 1), (18011, 1), (18012, 1)], [(8, 1), (18, 2), (20, 4), (25, 2), (31, 1), (37, 1), (45, 1), (50, 2), (91, 1), (269, 1), (301, 1), (407, 1), (428, 1), (1224, 1), (1260, 1), (1487, 1), (1587, 1), (2283, 1), (2772, 1), (3047, 1), (3379, 1), (4708, 1), (4760, 1), (5501, 1), (6259, 1), (8003, 1), (10583, 1), (18013, 1)], [(8, 1), (19, 1), (20, 1), (29, 1), (45, 1), (53, 1), (117, 1), (185, 1), (232, 1), (331, 1), (428, 1), (792, 1), (1377, 1), (1824, 1), (1972, 1), (2145, 1), (4708, 1), (5040, 1), (8534, 1), (10827, 1), (17636, 1)], [(53, 1), (54, 1), (122, 1), (247, 1), (9196, 1), (18014, 1)], [(8, 1), (20, 2), (25, 1), (45, 1), (50, 1), (53, 2), (90, 1), (186, 1), (1587, 1), (2258, 1), (2816, 1), (3095, 1), (3582, 1), (4602, 1), (12796, 1), (14860, 1), (16736, 1)], [(7, 1), (8, 1), (18, 1), (19, 5), (20, 13), (22, 3), (25, 4), (31, 2), (45, 1), (50, 2), (51, 1), (53, 6), (54, 1), (55, 3), (58, 1), (65, 1), (82, 1), (90, 1), (92, 1), (108, 1), (117, 4), (186, 1), (232, 4), (246, 1), (256, 2), (268, 1), (293, 2), (346, 1), (347, 1), (407, 1), (426, 1), (459, 1), (860, 1), (1159, 3), (1860, 1), (1873, 1), (2029, 1), (2235, 2), (2734, 1), (2754, 1), (2945, 1), (3028, 1), (3318, 1), (3435, 1), (3647, 1), (3649, 1), (3894, 1), (4179, 1), (4350, 1), (4831, 1), (5592, 1), (6268, 2), (6495, 1), (7241, 1), (8388, 1), (10362, 1), (12369, 1), (14112, 1), (14400, 1), (14774, 1), (16530, 1), (17636, 2), (17761, 1), (18015, 1), (18016, 1), (18017, 1), (18018, 1), (18019, 1), (18020, 1), (18021, 1), (18022, 1)], [(20, 1), (247, 1), (414, 1), (1583, 1), (4910, 2)], [(20, 2), (71, 1), (82, 1), (275, 1), (357, 1), (1583, 1), (1714, 1), (2149, 1), (2478, 1), (13038, 1), (13577, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (22, 1), (25, 2), (30, 1), (31, 1), (37, 1), (45, 1), (50, 2), (51, 1), (53, 1), (65, 1), (91, 1), (185, 1), (263, 1), (281, 1), (337, 1), (347, 2), (357, 1), (426, 1), (450, 1), (609, 1), (622, 1), (771, 1), (897, 1), (1159, 1), (1928, 1), (2235, 1), (2270, 1), (2557, 1), (2625, 1), (3679, 1), (4229, 1), (4417, 1), (4762, 1), (6936, 1), (10649, 1), (10855, 1), (11578, 1), (15012, 1), (17636, 1), (18023, 1), (18024, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (30, 1), (50, 2), (51, 1), (53, 3), (234, 1), (246, 1), (301, 1), (310, 1), (414, 1), (415, 1), (448, 2), (505, 1), (645, 1), (743, 1), (833, 1), (885, 1), (1057, 1), (1656, 1), (1871, 1), (1972, 1), (2470, 1), (2478, 1), (2581, 1), (2965, 1), (4926, 1), (5512, 1), (6862, 1), (7590, 1), (8016, 1), (9341, 1), (9348, 1), (12283, 1), (14396, 1), (18025, 1), (18026, 1), (18027, 1)], [(53, 1), (1714, 1), (1845, 1), (2145, 1), (2985, 1)], [(18, 2), (19, 1), (20, 3), (22, 10), (24, 1), (25, 3), (31, 1), (45, 2), (50, 2), (51, 1), (53, 11), (54, 1), (55, 2), (65, 1), (124, 2), (174, 1), (186, 1), (193, 1), (197, 3), (247, 1), (261, 1), (310, 1), (361, 2), (428, 2), (645, 1), (706, 1), (708, 1), (833, 1), (1076, 1), (1128, 2), (1129, 1), (1159, 3), (1227, 1), (1321, 1), (1415, 1), (1750, 1), (2036, 1), (2321, 1), (2344, 1), (2351, 1), (2382, 1), (2402, 1), (2407, 1), (2413, 1), (2492, 1), (2556, 1), (2690, 1), (3244, 1), (3649, 1), (3689, 1), (4387, 2), (4712, 1), (4910, 1), (5356, 1), (6360, 1), (6495, 1), (6900, 1), (7206, 1), (7396, 1), (7466, 1), (11214, 1), (12093, 1), (12919, 1), (17637, 1), (17909, 1), (18016, 1), (18028, 1), (18029, 1), (18030, 1), (18031, 1), (18032, 1), (18033, 1), (18034, 1), (18035, 1)], [(8, 1), (18, 2), (19, 3), (20, 12), (22, 6), (25, 3), (31, 1), (37, 2), (45, 1), (50, 6), (53, 14), (58, 1), (65, 5), (77, 3), (91, 3), (108, 2), (109, 1), (172, 1), (185, 1), (214, 1), (226, 2), (256, 2), (261, 1), (305, 1), (313, 1), (323, 1), (428, 1), (448, 1), (505, 2), (516, 1), (583, 1), (600, 1), (654, 2), (675, 1), (744, 1), (763, 1), (983, 2), (1024, 1), (1095, 1), (1113, 1), (1198, 1), (1308, 2), (1403, 1), (1467, 1), (1656, 1), (1702, 1), (1747, 1), (1931, 1), (2258, 1), (2265, 1), (2389, 1), (2478, 2), (2553, 1), (2632, 1), (2655, 1), (2716, 1), (2847, 1), (2985, 1), (3280, 1), (3738, 1), (4148, 1), (4299, 1), (4600, 1), (5283, 1), (5559, 1), (5840, 1), (5986, 1), (6472, 1), (6489, 1), (6661, 1), (7480, 1), (7641, 1), (11452, 1), (12519, 1), (13352, 1), (13809, 1), (14401, 1), (16230, 1), (16482, 1), (18036, 1), (18037, 1), (18038, 1), (18039, 1), (18040, 1), (18041, 1), (18042, 1), (18043, 1), (18044, 1), (18045, 1), (18046, 1)], [(247, 1), (3280, 1), (4148, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (31, 1), (32, 1), (56, 1), (77, 1), (97, 1), (124, 1), (324, 1), (505, 1), (833, 1), (983, 1), (2950, 1), (6936, 1), (10767, 1), (12514, 1), (13144, 1), (18047, 1), (18048, 1)], [(247, 1), (3280, 1), (4148, 1)], [(20, 4), (25, 1), (53, 1), (186, 1), (245, 1), (278, 1), (388, 1), (419, 1), (702, 1), (1057, 1), (1178, 1), (2140, 1), (4148, 1), (11260, 1), (16992, 1), (18049, 1), (18050, 1)], [(7, 2), (19, 1), (20, 6), (23, 1), (25, 2), (50, 1), (53, 1), (117, 1), (206, 1), (232, 1), (247, 1), (417, 1), (702, 1), (1457, 1), (1628, 1), (3160, 1), (3710, 1), (4382, 1), (4939, 1), (4977, 1), (10908, 1), (12704, 1), (17636, 1), (18051, 1)], [(8, 1), (18, 1), (65, 1), (293, 1), (331, 1), (2096, 1), (2348, 1), (17991, 1)], [(1544, 1), (18052, 1)], [(8, 1), (24, 1), (18053, 1)], [(8, 1), (18, 3), (20, 8), (25, 3), (31, 3), (45, 3), (53, 3), (54, 1), (55, 2), (65, 5), (75, 2), (117, 1), (193, 1), (232, 1), (269, 1), (281, 1), (361, 1), (410, 1), (415, 1), (420, 1), (426, 1), (531, 1), (706, 1), (725, 1), (924, 1), (1068, 1), (1588, 1), (1695, 1), (1897, 1), (1904, 1), (2036, 1), (2208, 1), (2534, 1), (2541, 1), (2543, 1), (2720, 1), (2734, 1), (2965, 1), (3049, 1), (3121, 1), (3796, 1), (5969, 1), (6047, 1), (6315, 1), (6503, 1), (7167, 1), (9621, 1), (11055, 1), (13480, 1), (16757, 1), (17637, 2), (17991, 1), (18054, 1), (18055, 1), (18056, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (21, 1), (22, 1), (31, 1), (45, 1), (50, 1), (53, 5), (58, 1), (68, 1), (97, 1), (109, 2), (193, 1), (281, 1), (448, 1), (688, 1), (708, 1), (884, 1), (999, 1), (1057, 1), (1245, 1), (1526, 1), (1824, 1), (2332, 1), (2336, 1), (2344, 1), (2613, 1), (2734, 1), (2911, 1), (3095, 1), (3690, 1), (4209, 1), (4581, 1), (6315, 2), (6627, 1), (11390, 1), (13480, 1), (15351, 1), (17637, 1), (17991, 1), (18057, 1)], [(20, 1), (64, 1), (117, 1), (206, 1), (232, 1), (1714, 1), (1715, 1), (4841, 1), (17991, 1), (18058, 1), (18059, 1), (18060, 1)], [(18, 1), (19, 1), (20, 3), (21, 1), (22, 2), (31, 1), (37, 1), (50, 1), (66, 1), (82, 1), (91, 1), (117, 1), (214, 1), (226, 1), (256, 2), (278, 1), (357, 2), (399, 1), (654, 1), (711, 2), (1170, 1), (1229, 1), (1902, 1), (2029, 1), (2178, 1), (2383, 1), (4159, 1), (4841, 1), (6783, 1), (6945, 1), (9153, 1), (18061, 1), (18062, 1)], [(18, 2), (20, 2), (22, 2), (23, 2), (37, 1), (45, 1), (64, 2), (66, 1), (82, 1), (108, 1), (117, 1), (242, 2), (357, 1), (414, 1), (581, 1), (777, 1), (1163, 1), (1169, 1), (1416, 1), (1904, 1), (3547, 1), (3763, 1), (4699, 1), (4854, 1), (6315, 1), (6495, 1), (6945, 1), (8272, 1), (8286, 1), (11781, 1), (17991, 1), (18062, 1)], [(8, 1), (20, 1), (22, 1), (64, 1), (124, 1), (240, 1), (268, 1), (2013, 1)], [(8, 1), (19, 1), (20, 1), (278, 1), (506, 1), (824, 1), (2165, 1), (3177, 1), (4985, 1), (10824, 1), (18063, 1), (18064, 1)], [(8, 1), (20, 1), (23, 1), (31, 1), (37, 1), (50, 1), (77, 1), (82, 1), (83, 1), (90, 1), (242, 1), (268, 1), (359, 1), (1149, 1), (3221, 1), (4899, 1), (10171, 1), (16400, 1)], [(20, 2), (22, 1), (82, 1), (117, 1), (252, 1), (273, 1), (287, 2), (357, 1), (743, 1), (1714, 1), (2149, 1), (3221, 2), (6286, 1), (6945, 1), (17636, 1)], [(117, 1), (357, 1), (581, 1), (654, 1), (827, 1), (1347, 1), (1714, 1), (3221, 1), (6945, 1), (7822, 1)], [(20, 1), (53, 1), (82, 1), (90, 1), (117, 1), (245, 1), (287, 1), (314, 1), (316, 1), (328, 1), (357, 2), (581, 1), (596, 1), (946, 1), (1336, 1), (1683, 1), (1824, 1), (3221, 1), (6945, 1), (9988, 1), (18065, 1)], [(20, 1), (22, 1), (25, 1), (31, 1), (51, 1), (58, 1), (64, 1), (65, 1), (66, 1), (328, 1), (459, 1), (531, 1), (706, 1), (949, 1), (3796, 1), (9873, 1), (18066, 1), (18067, 1)], [(20, 2), (37, 1), (58, 2), (64, 1), (117, 1), (215, 1), (331, 1), (337, 1), (347, 1), (357, 1), (581, 1), (744, 1), (885, 1), (946, 1), (1458, 1), (2320, 1), (5015, 1), (6945, 1), (8001, 1), (17636, 1)], [(20, 1), (23, 1), (64, 1), (66, 1), (293, 1), (342, 1), (949, 1)], [(20, 1), (22, 1), (23, 1), (25, 1), (53, 1), (64, 1), (69, 1), (117, 1), (161, 1), (288, 1), (331, 1), (357, 1), (581, 1), (812, 1), (946, 1), (1594, 1), (2320, 1), (2442, 1), (6945, 1), (9641, 1), (9873, 1), (17636, 1), (18067, 1), (18068, 1)], [(20, 2), (22, 1), (23, 2), (25, 1), (37, 1), (64, 1), (66, 1), (256, 1), (269, 1), (342, 1), (581, 1), (949, 1), (4939, 1), (9873, 1), (18067, 1)], [(8, 1), (18, 1), (20, 7), (21, 2), (22, 2), (23, 1), (25, 2), (45, 1), (55, 1), (64, 3), (75, 1), (85, 1), (117, 2), (166, 1), (185, 1), (226, 2), (232, 1), (261, 1), (262, 1), (269, 1), (281, 1), (285, 1), (295, 3), (357, 1), (414, 1), (504, 1), (516, 1), (581, 1), (706, 1), (727, 1), (897, 1), (1163, 2), (1170, 1), (1354, 1), (1580, 2), (1670, 1), (1694, 1), (1966, 1), (2036, 1), (2324, 1), (2479, 1), (2702, 1), (2925, 1), (4313, 1), (4575, 1), (4841, 2), (5053, 1), (6284, 1), (6315, 1), (6495, 1), (6945, 1), (7039, 1), (7156, 1), (8281, 1), (8362, 1), (13480, 1), (17636, 2), (17991, 1), (18068, 1), (18069, 1)], [(247, 1), (6343, 1)], [(117, 1), (185, 1), (357, 1), (946, 1), (2540, 1), (6945, 1), (8281, 1), (18068, 1)], [(64, 1), (247, 1), (1583, 1)], [(20, 1), (53, 1), (77, 1), (90, 1), (247, 1), (269, 1), (949, 1)], [(23, 1), (25, 1), (37, 1), (82, 1), (256, 1), (269, 1), (946, 1), (9873, 1), (18067, 1), (18070, 1)], [(20, 5), (21, 1), (22, 2), (31, 1), (34, 1), (37, 1), (50, 1), (53, 2), (58, 4), (64, 1), (77, 3), (108, 1), (117, 1), (225, 1), (226, 1), (247, 1), (269, 1), (310, 1), (357, 1), (428, 1), (645, 1), (790, 1), (1102, 1), (1308, 1), (1580, 2), (2654, 1), (3453, 1), (4058, 1), (4390, 1), (4432, 1), (4939, 1), (6945, 1), (12185, 1), (17636, 1), (18071, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (55, 1), (65, 1), (117, 1), (124, 1), (232, 1), (268, 1), (301, 1), (354, 1), (361, 1), (631, 1), (1324, 1), (3677, 1), (18072, 1)], [(226, 1), (295, 1), (1178, 1), (1670, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (58, 1), (215, 1), (263, 1), (459, 1), (504, 1), (2208, 1), (4165, 1), (4765, 1), (9562, 1), (11055, 1)], [(8, 1), (18, 3), (20, 3), (22, 2), (23, 1), (31, 1), (45, 1), (50, 1), (64, 1), (65, 1), (82, 1), (90, 2), (95, 1), (166, 1), (190, 1), (229, 1), (269, 1), (278, 1), (353, 1), (516, 1), (790, 1), (1403, 1), (1596, 1), (1901, 1), (2259, 1), (2853, 1), (3186, 1), (7658, 1), (8918, 1), (9998, 1), (17991, 1)], [(8, 1), (53, 3), (117, 1), (232, 1), (281, 1), (351, 1), (1163, 1), (3924, 1), (3963, 1), (5297, 1), (13480, 1)], [(20, 2), (50, 2), (53, 2), (64, 1), (65, 1), (66, 1), (206, 1), (214, 1), (295, 1), (988, 1), (1670, 1), (2761, 1), (4572, 1), (6371, 1), (11076, 1), (17636, 1), (18073, 1), (18074, 1)], [(20, 1), (64, 1), (65, 1), (949, 1), (1714, 1), (14772, 1), (18074, 1), (18075, 1)], [(20, 4), (25, 1), (40, 1), (53, 1), (66, 1), (226, 1), (352, 1), (357, 1), (419, 1), (454, 1), (608, 1), (897, 1), (1845, 1), (1904, 1), (3924, 1), (3927, 1), (6315, 1), (18076, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (50, 1), (51, 1), (53, 1), (58, 1), (64, 1), (109, 1), (190, 1), (206, 1), (329, 1), (442, 1), (516, 1), (645, 1), (2325, 1), (3034, 1), (4759, 1), (18074, 1), (18077, 1), (18078, 1)], [(247, 1), (6961, 1)], [(8, 1), (53, 1), (506, 1), (2259, 1), (17637, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 3), (50, 1), (53, 1), (65, 1), (108, 1), (206, 1), (329, 1), (331, 1), (506, 1), (516, 1), (713, 1), (714, 2), (754, 1), (763, 1), (897, 1), (1041, 1), (1239, 1), (4639, 1), (4640, 1), (6495, 1), (12259, 1), (14614, 1), (17637, 1), (18079, 1)], [(247, 1), (6961, 1)], [(23, 1), (53, 1), (66, 1), (117, 1), (999, 1), (2854, 1), (7466, 1)], [(7, 2), (8, 1), (18, 1), (20, 6), (45, 1), (53, 1), (55, 1), (75, 1), (91, 2), (174, 1), (193, 1), (229, 1), (269, 2), (353, 1), (459, 1), (714, 1), (1122, 1), (2344, 1), (2734, 1), (3013, 1), (3123, 1), (3333, 1), (3378, 1), (6315, 1), (14614, 1), (15928, 1)], [(64, 1), (126, 1), (1178, 1), (18080, 1)], [(8, 1), (53, 1), (269, 1), (2344, 1), (7425, 1)], [(20, 1), (64, 1), (66, 1), (90, 1), (777, 1), (1458, 1), (17991, 1), (18081, 1)], [(8, 1), (19, 1), (20, 3), (25, 1), (45, 2), (53, 1), (54, 1), (75, 1), (106, 1), (173, 1), (229, 1), (233, 1), (269, 1), (285, 1), (410, 1), (420, 1), (428, 1), (714, 1), (1892, 1), (2734, 1), (3181, 1), (3257, 1), (6315, 1), (17991, 1), (18078, 1), (18082, 1)], [(8, 1), (19, 1), (20, 10), (25, 2), (30, 1), (45, 1), (53, 7), (55, 1), (111, 1), (173, 1), (186, 1), (209, 1), (269, 1), (337, 1), (414, 2), (415, 1), (433, 1), (448, 2), (706, 1), (777, 1), (897, 1), (903, 1), (999, 1), (1041, 1), (1483, 1), (1720, 1), (2019, 1), (2320, 1), (3435, 1), (3533, 1), (5064, 1), (5066, 1), (5312, 1), (5512, 1), (5704, 1), (6683, 1), (7704, 1), (7985, 1), (11062, 1), (12790, 1), (13480, 1), (14614, 1), (14683, 1), (17132, 1), (17637, 1), (17991, 1), (18083, 1), (18084, 1)], [(8, 1), (20, 2), (173, 1), (186, 1), (215, 1), (301, 1), (2304, 1), (3379, 1), (3782, 1), (6315, 1)], [(50, 1), (64, 1), (90, 1), (108, 1), (117, 1), (232, 1), (328, 1), (410, 1), (596, 1), (946, 1), (4732, 1), (7164, 1), (18085, 1)], [(8, 1), (20, 1), (53, 1), (109, 1), (414, 1), (1695, 1), (1958, 1), (2417, 1), (7295, 1)], [(18, 2), (20, 1), (22, 1), (25, 1), (50, 1), (58, 1), (64, 1), (65, 1), (66, 1), (117, 1), (232, 1), (516, 2), (517, 1), (658, 1), (999, 1), (1377, 1), (3425, 1), (5912, 2), (8485, 1), (14683, 1), (17871, 1), (18086, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 1), (25, 1), (31, 1), (37, 1), (50, 1), (53, 3), (58, 2), (117, 1), (186, 1), (215, 1), (232, 1), (269, 1), (428, 2), (529, 1), (680, 1), (707, 1), (1041, 1), (1528, 1), (1768, 1), (2344, 1), (2359, 1), (2667, 1), (2888, 1), (2977, 1), (3545, 1), (3803, 1), (4556, 1), (5162, 1), (5796, 1), (6003, 1), (6315, 1), (12195, 1), (17991, 1), (18079, 1), (18087, 1)], [(20, 1), (64, 1), (117, 1), (299, 1), (357, 1), (506, 1), (946, 1), (6945, 1), (8310, 1), (17991, 1)], [(18, 1), (20, 1), (22, 1), (23, 1), (53, 1), (55, 1), (64, 1), (65, 1), (108, 1), (172, 1), (217, 1), (229, 1), (256, 1), (897, 1), (946, 1), (1416, 1), (1580, 1), (2734, 1), (17638, 1), (18088, 1), (18089, 1), (18090, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (64, 1), (82, 1), (90, 1), (332, 1), (739, 1), (1824, 1), (1901, 1), (1904, 1), (6315, 1), (12681, 1)], [(53, 1), (82, 1), (108, 1), (185, 1), (756, 1), (946, 1), (2259, 1), (2909, 1), (10515, 1)], [(53, 1), (64, 1), (247, 1), (286, 1), (778, 1), (12796, 1)], [(8, 1), (20, 1), (22, 1), (32, 1), (53, 1), (91, 1), (108, 1), (203, 1), (301, 1), (357, 1), (645, 1), (885, 1), (5578, 1), (6936, 1)], [(20, 1), (21, 1), (22, 1), (25, 1), (50, 2), (53, 4), (65, 1), (66, 1), (214, 1), (215, 1), (226, 1), (325, 1), (395, 1), (454, 1), (885, 1), (988, 1), (1580, 1), (2467, 1), (2735, 1), (4215, 1), (5578, 1), (16447, 1), (18091, 1)], [(8, 1), (18, 1), (20, 1), (51, 1), (53, 2), (82, 1), (91, 1), (173, 1), (215, 1), (285, 1), (286, 1), (1102, 1), (1416, 1), (2883, 1), (5788, 1), (9806, 1), (17636, 1), (18091, 1)], [(19, 1), (20, 4), (21, 2), (22, 1), (23, 2), (32, 1), (64, 1), (91, 2), (108, 2), (172, 1), (226, 1), (256, 1), (268, 1), (608, 1), (645, 1), (948, 1), (1057, 1), (1178, 1), (1755, 1), (1911, 1), (3849, 1), (4839, 1), (18092, 1), (18093, 1)], [(7, 1), (8, 1), (19, 4), (20, 4), (22, 1), (25, 2), (50, 1), (53, 7), (54, 1), (65, 1), (91, 1), (173, 1), (193, 1), (215, 1), (410, 1), (428, 1), (450, 1), (531, 1), (680, 1), (707, 1), (988, 1), (1627, 1), (2184, 1), (2344, 1), (2667, 1), (2734, 1), (2862, 1), (2925, 1), (3545, 1), (3591, 1), (5578, 1), (5682, 1), (5796, 1), (6242, 1), (6315, 1), (7881, 1), (9595, 1), (17636, 1), (17991, 1), (18079, 1), (18094, 1), (18095, 1), (18096, 1)], [(8, 1), (20, 1), (21, 1), (22, 1), (23, 1), (50, 1), (53, 1), (58, 1), (64, 1), (65, 1), (90, 1), (94, 1), (108, 1), (268, 2), (680, 1), (983, 1), (1165, 1), (2853, 1), (18087, 1)], [(20, 1), (247, 1), (328, 1), (12478, 1)], [(20, 2), (247, 1), (3614, 1), (8103, 1), (8140, 1)], [(20, 1), (247, 1), (273, 1), (295, 1), (596, 1), (5347, 1)], [(185, 1), (190, 1), (215, 2), (289, 1), (295, 1), (506, 1), (691, 1), (946, 1), (1021, 1), (3047, 1), (8726, 1), (16114, 1)], [(8, 1), (58, 1), (186, 1), (1012, 1), (2541, 1)], [(8, 1), (20, 1), (50, 1), (126, 1), (1434, 1), (1778, 1), (2276, 1), (14218, 1), (14225, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (53, 2), (117, 1), (232, 1), (353, 1), (459, 2), (756, 1), (897, 1), (1327, 1), (3490, 1), (4058, 1), (5578, 1), (10515, 1), (12744, 1), (18097, 1)], [(20, 1), (31, 2), (64, 1), (1178, 1), (15300, 1), (18098, 1), (18099, 1), (18100, 1), (18101, 2), (18102, 1), (18103, 1), (18104, 1)], [(8, 1), (20, 1), (53, 2), (215, 1), (1021, 1), (2734, 1), (6315, 1), (6330, 1), (7359, 1), (10768, 1), (12814, 1), (18105, 1), (18106, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (50, 2), (53, 5), (55, 1), (58, 1), (109, 1), (269, 1), (346, 1), (1702, 1), (2734, 1), (2862, 1), (3079, 1), (6095, 1), (6105, 1), (6315, 1), (6364, 1), (7032, 1), (8275, 1), (9590, 1), (10108, 1), (15997, 1), (18107, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (25, 2), (50, 2), (53, 1), (54, 1), (58, 1), (65, 1), (126, 1), (334, 1), (448, 1), (713, 1), (771, 1), (897, 1), (1239, 1), (1467, 1), (5092, 1), (7329, 1), (10794, 1), (12791, 1), (14642, 1), (18108, 1)], [(18, 1), (20, 5), (25, 1), (45, 1), (53, 1), (58, 2), (64, 1), (65, 1), (247, 1), (268, 1), (281, 1), (516, 1), (777, 1), (897, 1), (1057, 1), (1479, 1), (1540, 1), (1569, 1), (2318, 1), (3140, 1), (3248, 1), (3642, 1), (5373, 1), (6315, 1), (17301, 1), (18109, 1), (18110, 1), (18111, 1)], [(25, 1), (32, 1), (53, 1), (66, 1), (108, 1), (10102, 1)], [(8, 1), (20, 3), (22, 2), (25, 3), (37, 1), (50, 2), (53, 9), (54, 3), (55, 1), (65, 1), (109, 1), (117, 1), (186, 1), (232, 1), (269, 1), (293, 1), (406, 1), (428, 1), (459, 1), (697, 1), (897, 1), (998, 1), (1122, 1), (1302, 1), (1350, 1), (1540, 2), (1873, 1), (2259, 1), (2320, 1), (2359, 1), (2543, 1), (2862, 1), (4640, 1), (5602, 1), (5743, 1), (5749, 1), (5986, 1), (7024, 1), (9774, 2), (10108, 2), (10464, 1), (12079, 1), (12469, 1), (18112, 1), (18113, 1)], [(8, 1), (20, 6), (21, 2), (22, 1), (25, 3), (45, 1), (50, 2), (53, 5), (55, 1), (106, 1), (197, 1), (516, 1), (1312, 1), (1324, 1), (1327, 1), (1540, 1), (2083, 1), (2479, 1), (2543, 1), (2694, 1), (2734, 1), (3100, 1), (3181, 1), (3638, 1), (3709, 2), (4024, 1), (5169, 1), (6315, 1), (7018, 1), (8388, 1), (9774, 2), (17622, 1), (18107, 1), (18114, 1)], [(8, 1), (20, 4), (45, 1), (54, 1), (65, 1), (173, 1), (301, 1), (407, 1), (1350, 1), (1824, 1), (2030, 1), (2270, 1), (2365, 1), (2649, 1), (2731, 1), (3709, 1), (4729, 1), (10246, 1), (15325, 1)], [(20, 1), (247, 1), (1583, 1), (8198, 1)], [(20, 2), (22, 1), (25, 1), (37, 1), (50, 1), (53, 2), (55, 1), (58, 1), (82, 1), (220, 1), (247, 1), (256, 1), (709, 1), (2401, 1), (2847, 1), (3669, 1), (3918, 1), (4744, 1), (4841, 3), (6232, 1), (11658, 1), (13135, 1), (14726, 1), (18115, 1), (18116, 1), (18117, 1)], [(1544, 1), (18118, 1)], [(8, 1), (24, 1), (18119, 1)], [(8, 1), (20, 1), (25, 1), (29, 1), (31, 1), (37, 1), (50, 1), (53, 4), (54, 1), (428, 1), (1627, 1), (2772, 2), (4073, 1), (5054, 1), (6129, 1), (6149, 1), (7287, 1), (8343, 1), (18120, 1)], [(8, 1), (20, 11), (22, 1), (25, 1), (31, 2), (50, 1), (53, 3), (55, 1), (108, 3), (111, 4), (187, 1), (256, 1), (290, 1), (337, 1), (414, 1), (450, 2), (459, 1), (463, 1), (531, 1), (711, 1), (714, 1), (913, 1), (1022, 1), (1102, 1), (1238, 1), (1665, 1), (1883, 1), (2104, 1), (2475, 1), (2967, 1), (3022, 1), (3121, 1), (3177, 1), (4250, 1), (5016, 1), (5257, 1), (6577, 1), (6602, 1), (6623, 1), (7148, 1), (7640, 1), (9842, 1), (10422, 1), (10573, 1), (18121, 1)], [(8, 1), (18, 2), (20, 7), (22, 5), (25, 3), (29, 1), (31, 1), (37, 1), (45, 1), (50, 2), (53, 6), (55, 1), (58, 1), (65, 1), (82, 1), (90, 3), (117, 1), (185, 1), (206, 1), (214, 1), (215, 1), (232, 1), (256, 1), (269, 1), (281, 1), (285, 1), (293, 1), (305, 1), (361, 1), (373, 1), (386, 1), (420, 1), (435, 1), (516, 1), (531, 1), (583, 1), (711, 1), (744, 1), (904, 1), (1071, 1), (1487, 1), (1675, 1), (1699, 1), (2333, 1), (2359, 1), (2365, 1), (2744, 2), (3049, 1), (3103, 1), (3426, 1), (3681, 1), (4956, 1), (5015, 1), (5174, 1), (5239, 1), (5273, 1), (5473, 1), (7255, 1), (7345, 1), (7636, 1), (8433, 1), (9154, 1), (10148, 1), (10805, 1), (10943, 1), (11008, 1), (11275, 1), (11958, 1), (14621, 1), (16369, 1), (16501, 1), (18122, 1), (18123, 1), (18124, 1), (18125, 1), (18126, 1), (18127, 1), (18128, 1)], [(8, 1), (18, 2), (20, 7), (22, 2), (25, 1), (31, 1), (45, 1), (50, 2), (53, 8), (58, 1), (65, 2), (82, 1), (90, 1), (92, 3), (95, 1), (112, 2), (117, 1), (168, 1), (173, 1), (214, 1), (215, 2), (256, 1), (289, 1), (293, 1), (365, 1), (373, 1), (392, 1), (405, 1), (420, 2), (433, 1), (435, 1), (450, 2), (516, 1), (526, 1), (578, 1), (675, 1), (709, 1), (765, 1), (1012, 1), (1159, 1), (1308, 2), (1456, 1), (1462, 1), (1529, 1), (1807, 1), (1835, 1), (2434, 1), (2514, 1), (2690, 1), (2744, 1), (3072, 1), (3524, 1), (3718, 1), (3852, 1), (3958, 1), (4147, 1), (4255, 1), (4431, 1), (4858, 1), (5756, 1), (5804, 1), (7670, 1), (9782, 1), (11076, 1), (11688, 1), (12038, 1), (12380, 1), (15634, 1), (16930, 1), (17934, 1), (18129, 1)], [(8, 1), (20, 3), (22, 3), (24, 1), (31, 2), (50, 1), (53, 5), (65, 4), (69, 1), (90, 1), (99, 1), (174, 1), (206, 2), (214, 1), (215, 1), (328, 1), (354, 1), (420, 1), (432, 1), (448, 1), (694, 1), (777, 1), (1053, 1), (1128, 1), (1132, 1), (1342, 1), (1806, 1), (1883, 1), (2099, 1), (2994, 1), (4181, 1), (4355, 1), (4906, 1), (6421, 1), (6492, 1), (8018, 1), (8362, 1), (8370, 1), (8446, 1), (9341, 1), (11255, 1), (18130, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (37, 1), (55, 1), (65, 1), (90, 1), (185, 1), (269, 1), (293, 1), (324, 1), (331, 1), (407, 1), (697, 1), (1080, 1), (1350, 1), (1466, 1), (2666, 1), (2751, 1), (2985, 1), (6927, 1), (8352, 1), (18131, 1), (18132, 1), (18133, 1)], [(8, 1), (20, 2), (50, 1), (193, 1), (201, 1), (202, 1), (215, 1), (414, 1), (531, 1), (744, 1), (792, 1), (861, 1), (3043, 1), (5278, 1), (5430, 1), (6036, 1), (6239, 2), (6315, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (31, 1), (45, 2), (91, 1), (206, 1), (229, 1), (256, 1), (281, 1), (301, 1), (430, 1), (504, 1), (669, 1), (792, 2), (1470, 1), (1824, 1), (5434, 1), (7088, 2), (8146, 2), (17328, 1), (18134, 1), (18135, 1)], [(20, 1), (247, 1), (1583, 1), (7372, 1), (13527, 1)], [(7, 1), (8, 1), (20, 4), (22, 2), (25, 1), (31, 4), (40, 1), (50, 2), (53, 5), (91, 1), (108, 1), (130, 1), (174, 1), (262, 1), (295, 2), (414, 1), (448, 1), (505, 2), (516, 1), (600, 1), (830, 1), (893, 1), (1102, 1), (1467, 1), (1520, 1), (1628, 1), (1824, 1), (1932, 2), (2189, 1), (2235, 1), (2926, 1), (3197, 1), (4392, 1), (5134, 1), (6034, 1), (7379, 1), (7828, 1), (10286, 1), (11076, 1), (18136, 1), (18137, 1), (18138, 1), (18139, 1), (18140, 1)], [(8, 1), (19, 1), (206, 1), (285, 1), (299, 1), (332, 1), (2344, 1), (3172, 1), (6163, 1)], [(7, 2), (8, 1), (18, 1), (20, 2), (25, 1), (50, 1), (53, 1), (108, 1), (197, 1), (214, 1), (301, 1), (392, 1), (505, 1), (580, 1), (1590, 1), (6163, 1), (6513, 1), (10464, 1), (11910, 1), (11912, 1), (11913, 1), (12498, 1), (13791, 1), (18141, 1)], [(8, 1), (10, 1), (20, 5), (22, 1), (25, 1), (31, 2), (50, 1), (53, 2), (77, 1), (82, 1), (92, 2), (117, 4), (185, 1), (193, 2), (232, 3), (268, 1), (269, 1), (351, 1), (419, 1), (505, 1), (597, 1), (627, 1), (782, 1), (869, 1), (897, 2), (1685, 1), (2344, 2), (2418, 1), (2440, 1), (3578, 1), (4598, 1), (4632, 1), (4854, 1), (5861, 1), (6859, 1), (7362, 1), (7506, 1), (7671, 1), (8444, 1), (10955, 1), (11330, 1), (12766, 1), (13348, 1), (18142, 1), (18143, 1), (18144, 1), (18145, 1), (18146, 1), (18147, 1)], [(8, 1), (20, 4), (22, 1), (25, 3), (53, 1), (92, 1), (170, 1), (214, 1), (301, 1), (419, 1), (600, 1), (776, 1), (1122, 1), (1458, 1), (1978, 1), (4536, 1), (7371, 1), (14112, 1), (18148, 1)], [(20, 1), (53, 1), (124, 1), (268, 1), (419, 1), (1323, 1), (1714, 1), (1815, 1), (2667, 1), (4086, 1), (6091, 1), (18149, 1)], [(20, 1), (50, 1), (53, 2), (56, 1), (96, 1), (97, 1), (190, 1), (359, 1), (812, 1), (1714, 1), (2337, 1), (5921, 1), (16707, 1), (18150, 1), (18151, 1)], [(53, 1), (77, 1), (117, 1), (232, 1), (1323, 1), (1714, 1), (3524, 1), (5452, 1), (18152, 1)], [(8, 1), (19, 1), (20, 1), (25, 1), (31, 2), (50, 1), (53, 1), (58, 1), (84, 1), (91, 1), (203, 1), (214, 1), (246, 1), (328, 1), (392, 1), (419, 1), (450, 1), (516, 1), (834, 1), (1815, 1), (2557, 1), (4328, 1), (5028, 1), (5161, 1), (5204, 1), (5360, 1), (6019, 1), (7088, 1), (10241, 1), (18153, 1), (18154, 1)], [(20, 3), (45, 1), (90, 2), (109, 1), (117, 1), (232, 1), (278, 1), (310, 1), (331, 1), (361, 1), (365, 1), (373, 1), (428, 1), (563, 1), (632, 1), (922, 2), (1348, 1), (2418, 1), (7286, 1), (7396, 1), (7414, 1), (8146, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (40, 1), (45, 1), (50, 1), (64, 1), (65, 1), (82, 1), (117, 1), (215, 1), (220, 1), (232, 1), (449, 1), (506, 1), (726, 1), (1097, 1), (1744, 1), (2235, 1), (2706, 1), (3786, 1), (3831, 1), (4841, 2), (5619, 1), (8636, 1), (14665, 1), (18155, 1), (18156, 1), (18157, 1)], [(22, 2), (23, 1), (25, 1), (66, 1), (310, 1), (338, 1), (496, 1), (498, 1), (1170, 1), (1685, 1), (2048, 1), (2666, 1), (2751, 1), (8397, 1), (10955, 1), (18158, 2)], [(20, 3), (31, 1), (55, 1), (65, 1), (74, 1), (90, 1), (186, 1), (331, 1), (516, 1), (922, 1), (2003, 1), (2365, 1), (2418, 1), (7295, 1), (7933, 1), (8146, 1), (11981, 1)], [(20, 1), (22, 1), (23, 1), (25, 1), (45, 1), (64, 1), (90, 1), (173, 1), (217, 1), (225, 2), (226, 1), (242, 1), (256, 1), (1178, 1), (2029, 1), (2132, 1), (3539, 1), (4435, 1), (7295, 3), (10560, 1)], [(1544, 1), (18159, 1)], [(8, 1), (24, 2), (6129, 1), (15155, 1), (18160, 1)], [(8, 1), (20, 1), (25, 1), (53, 3), (90, 1), (117, 1), (217, 1), (232, 1), (307, 1), (310, 1), (331, 1), (337, 1), (347, 1), (426, 1), (448, 1), (459, 1), (754, 1), (1520, 1), (1966, 1), (2132, 1), (2164, 1), (2165, 1), (2259, 1), (3754, 1), (5204, 1), (6315, 1), (7881, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 1), (25, 2), (31, 2), (32, 1), (50, 1), (53, 3), (54, 2), (65, 2), (97, 1), (108, 1), (122, 1), (310, 1), (347, 1), (355, 1), (399, 1), (414, 1), (537, 1), (709, 1), (1102, 1), (1122, 1), (1137, 1), (1159, 3), (1361, 1), (1587, 1), (1667, 1), (1731, 1), (1823, 1), (2344, 1), (2983, 1), (3454, 1), (4557, 1), (5054, 1), (5076, 1), (5556, 1), (5708, 1), (5796, 1), (6623, 1), (8351, 1), (8362, 1), (9782, 1), (12613, 1), (13525, 1), (18160, 1), (18161, 1), (18162, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (24, 1), (25, 1), (50, 2), (53, 4), (54, 2), (65, 2), (95, 2), (109, 2), (174, 2), (182, 1), (193, 2), (310, 1), (317, 1), (347, 1), (373, 1), (450, 1), (600, 1), (706, 1), (710, 1), (711, 1), (1088, 1), (1159, 1), (1248, 1), (1618, 1), (2256, 1), (2332, 1), (2344, 1), (2730, 1), (2795, 1), (3111, 1), (5426, 1), (5496, 1), (5525, 1), (5743, 1), (10846, 1), (18163, 1), (18164, 1)], [(8, 1), (20, 3), (25, 1), (37, 1), (50, 1), (109, 1), (197, 1), (414, 1), (459, 1), (632, 1), (1159, 1), (1698, 1), (2383, 1), (9184, 1), (12550, 1), (15222, 1), (18165, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 1), (31, 2), (50, 3), (53, 1), (54, 1), (65, 2), (97, 1), (99, 1), (317, 1), (418, 1), (459, 1), (726, 1), (767, 1), (922, 1), (1042, 1), (1129, 1), (1159, 3), (1248, 1), (1710, 1), (1802, 1), (3321, 1), (3536, 1), (3540, 1), (4517, 1), (4709, 1), (5137, 1), (5687, 1), (6064, 1), (6213, 1), (7760, 1), (8273, 1), (9162, 1), (16930, 1), (18166, 1), (18167, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (31, 1), (37, 1), (53, 4), (54, 1), (55, 1), (74, 1), (90, 1), (108, 1), (124, 1), (170, 1), (209, 1), (347, 2), (407, 1), (415, 1), (518, 1), (599, 1), (654, 1), (922, 1), (1284, 1), (1522, 1), (1529, 1), (1640, 1), (2034, 1), (2523, 1), (2553, 1), (3118, 1), (3700, 1), (3752, 1), (7148, 1), (8148, 1), (8343, 1), (18160, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 4), (31, 1), (50, 1), (53, 4), (65, 1), (108, 2), (109, 1), (117, 2), (124, 1), (206, 1), (217, 2), (232, 1), (238, 1), (256, 1), (347, 3), (355, 1), (459, 1), (885, 1), (1118, 1), (1127, 1), (1308, 1), (1322, 1), (1324, 1), (1325, 1), (1348, 1), (2064, 1), (2543, 1), (2743, 1), (3118, 1), (4840, 1), (5649, 1), (5942, 1), (6064, 1), (6067, 1), (6213, 1), (6301, 1), (6546, 1), (6792, 1), (9679, 1), (9696, 1), (18168, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 1), (25, 1), (50, 1), (53, 4), (65, 2), (108, 1), (217, 1), (310, 1), (347, 1), (428, 1), (531, 1), (537, 1), (706, 1), (708, 1), (924, 1), (1179, 1), (1392, 1), (2340, 1), (2766, 1), (3274, 1), (3321, 1), (3457, 1), (4729, 2), (5550, 1), (6735, 1), (9407, 1), (18169, 1), (18170, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (22, 4), (25, 6), (31, 1), (45, 4), (50, 2), (53, 7), (54, 2), (55, 1), (58, 3), (65, 2), (90, 4), (91, 2), (117, 1), (173, 1), (232, 1), (347, 4), (359, 1), (414, 1), (428, 1), (450, 2), (706, 1), (775, 1), (834, 1), (880, 1), (1005, 1), (1260, 1), (1325, 1), (1354, 1), (1938, 1), (1958, 1), (1980, 1), (2023, 1), (2076, 1), (2446, 1), (2501, 1), (2760, 5), (2785, 1), (2828, 1), (3079, 1), (3171, 1), (3275, 1), (3367, 1), (3500, 1), (3700, 1), (4463, 1), (5409, 1), (6213, 1), (6317, 1), (6348, 1), (7120, 1), (7171, 1), (9354, 1), (10070, 1), (10112, 1), (11647, 1), (12045, 1), (18171, 1), (18172, 1), (18173, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 1), (50, 6), (53, 6), (55, 1), (65, 2), (74, 1), (97, 1), (109, 1), (111, 1), (182, 1), (185, 1), (197, 1), (209, 1), (281, 1), (310, 1), (426, 1), (459, 1), (516, 1), (600, 1), (692, 1), (709, 1), (815, 1), (1025, 1), (1037, 1), (1054, 1), (1122, 1), (1159, 3), (1259, 1), (1354, 1), (1506, 1), (1702, 1), (1958, 1), (2178, 1), (2258, 1), (2390, 1), (2401, 1), (2965, 1), (3049, 1), (3352, 1), (3542, 1), (3709, 1), (3979, 1), (4209, 1), (4769, 1), (5939, 1), (5953, 1), (6129, 1), (6332, 1), (8362, 1), (11243, 1), (11510, 1), (15179, 1), (18174, 1), (18175, 1), (18176, 1)], [(8, 1), (20, 5), (22, 1), (25, 2), (31, 1), (50, 1), (53, 6), (55, 3), (65, 3), (91, 1), (95, 1), (109, 1), (306, 1), (323, 1), (347, 1), (373, 1), (459, 2), (531, 1), (775, 1), (777, 1), (1248, 1), (1529, 1), (1549, 1), (2036, 1), (2064, 1), (2075, 1), (2689, 1), (2694, 1), (3337, 1), (3934, 1), (4198, 1), (4282, 1), (4541, 1), (5496, 1), (5749, 1), (6161, 1), (7152, 1), (7807, 1), (8360, 1), (8453, 1), (9148, 1), (9995, 1), (10017, 1), (10346, 1), (12079, 1), (12706, 1), (17560, 1), (18177, 1), (18178, 1), (18179, 1)], [(8, 1), (20, 2), (50, 2), (53, 4), (65, 1), (83, 1), (97, 1), (109, 1), (117, 1), (193, 1), (217, 1), (232, 1), (347, 1), (459, 1), (662, 1), (692, 1), (709, 1), (815, 1), (2916, 1), (3467, 1), (4450, 1), (4781, 1), (5953, 1), (15270, 1), (15650, 1)], [(8, 1), (20, 2), (25, 1), (32, 1), (53, 3), (69, 1), (172, 1), (215, 1), (236, 1), (285, 1), (310, 1), (365, 1), (428, 1), (459, 2), (711, 2), (744, 1), (827, 1), (2168, 1), (2705, 1), (2780, 1), (3024, 1), (4782, 1), (6862, 1), (8490, 1), (10422, 1), (10783, 1), (11752, 1), (18180, 1)], [(8, 1), (20, 3), (25, 2), (30, 1), (37, 1), (45, 1), (53, 3), (54, 1), (65, 1), (90, 1), (108, 1), (117, 1), (185, 1), (229, 1), (232, 1), (263, 1), (293, 1), (307, 1), (345, 1), (414, 1), (709, 1), (777, 1), (811, 1), (903, 1), (1325, 1), (2064, 1), (2075, 1), (2296, 1), (2648, 1), (2985, 1), (4033, 1), (5385, 1), (8150, 1), (8323, 1), (12213, 1), (12278, 1), (15418, 1), (18007, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (21, 2), (22, 1), (25, 2), (31, 1), (37, 2), (45, 1), (50, 1), (53, 4), (54, 1), (55, 1), (65, 1), (108, 1), (117, 1), (173, 1), (215, 2), (232, 1), (269, 1), (278, 1), (331, 1), (355, 1), (414, 1), (415, 2), (418, 2), (450, 1), (487, 2), (702, 1), (904, 1), (1129, 1), (1395, 1), (2015, 1), (2019, 1), (2064, 1), (2075, 1), (2286, 1), (2401, 1), (2648, 1), (2947, 1), (2965, 1), (2985, 1), (3002, 1), (4221, 1), (6315, 1), (6513, 1), (9810, 1), (18181, 1), (18182, 1), (18183, 1)], [(20, 1), (64, 1), (702, 1), (1178, 1), (3280, 1), (3482, 2)], [(8, 1), (18, 2), (20, 1), (25, 1), (31, 1), (42, 1), (53, 2), (117, 1), (232, 1), (1010, 1), (2482, 1), (2925, 1), (5133, 1), (5611, 1), (9754, 1), (18160, 1)], [(53, 1), (64, 1), (182, 1), (756, 1), (946, 1), (6297, 1), (10515, 1)], [(8, 1), (31, 1), (6315, 1), (6574, 1), (8472, 1)], [(8, 1), (22, 2), (30, 2), (31, 1), (37, 1), (50, 1), (53, 1), (64, 1), (65, 1), (117, 1), (193, 1), (233, 1), (256, 1), (415, 1), (759, 1), (1163, 1), (1165, 1), (1308, 1), (1907, 1), (2030, 1), (2048, 1), (2178, 1), (17076, 1)], [(64, 1), (1178, 1), (3280, 1), (3482, 1)], [(8, 1), (64, 1), (252, 1), (278, 1), (556, 1), (2132, 1), (6290, 1)], [(8, 1), (414, 1), (14402, 1)], [(161, 1), (482, 1), (600, 1), (946, 1), (6297, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (37, 1), (50, 1), (51, 1), (64, 1), (90, 1), (117, 1), (232, 1), (256, 1), (418, 1), (702, 2), (886, 1), (1118, 1), (1902, 1), (1966, 1), (2543, 1), (3482, 1), (6337, 1), (18184, 1)], [(8, 1), (23, 1), (88, 1), (90, 1), (109, 1), (117, 1), (324, 1), (1627, 1), (2401, 1), (2854, 1), (5053, 1)], [(10, 1), (18, 1), (20, 1), (25, 1), (53, 1), (65, 1), (66, 1), (117, 1), (190, 1), (232, 1), (263, 1), (295, 1), (354, 1), (709, 1), (1460, 1), (2543, 1), (3280, 1), (4388, 1), (6818, 1), (7470, 1)], [(18, 1), (64, 1), (77, 1), (1178, 1), (1347, 1), (5432, 1), (5816, 1), (7086, 1)], [(8, 1), (18, 1), (20, 5), (22, 2), (25, 2), (64, 1), (65, 1), (240, 1), (252, 1), (259, 1), (263, 1), (357, 1), (506, 1), (531, 1), (556, 1), (709, 2), (897, 2), (1460, 2), (2417, 1), (3633, 1), (4503, 1), (6315, 1), (7470, 1), (18185, 1), (18186, 1)], [(8, 1), (20, 1), (23, 1), (25, 1), (190, 1), (241, 1), (287, 1), (2495, 1), (3831, 1), (4841, 1)], [(247, 1), (328, 1), (18187, 1)], [(19, 1), (20, 1), (25, 1), (37, 1), (53, 1), (752, 1), (754, 1), (1159, 1), (1178, 1), (2515, 1), (18188, 1)], [(8, 1), (20, 3), (22, 3), (25, 1), (31, 1), (50, 1), (53, 9), (55, 1), (58, 1), (108, 1), (117, 1), (232, 1), (256, 1), (269, 1), (293, 1), (305, 1), (307, 1), (331, 1), (415, 1), (418, 1), (433, 1), (450, 1), (459, 1), (600, 1), (709, 1), (711, 1), (812, 1), (1506, 1), (1522, 1), (1529, 1), (1695, 1), (1820, 1), (2348, 1), (3016, 1), (4142, 1), (4220, 1), (4328, 1), (5664, 1), (5697, 1), (5731, 1), (6129, 1), (6747, 1), (7288, 1), (7853, 1), (8023, 1), (15171, 1), (18160, 2), (18189, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (25, 1), (45, 1), (50, 1), (53, 4), (54, 1), (55, 1), (90, 1), (108, 1), (109, 2), (173, 1), (215, 1), (329, 1), (331, 1), (418, 1), (709, 1), (777, 1), (897, 1), (903, 1), (1361, 1), (1608, 1), (1694, 1), (1695, 1), (1840, 1), (2172, 1), (2239, 1), (2292, 1), (2354, 1), (2760, 1), (3121, 1), (3227, 1), (6315, 1), (7684, 1), (8253, 1), (9593, 3), (9806, 1), (11244, 1), (18190, 1)], [(1544, 1), (18191, 1)], [(8, 1), (24, 1), (756, 1), (18192, 1)], [(7, 1), (8, 1), (20, 7), (25, 1), (31, 1), (37, 1), (50, 1), (53, 2), (84, 1), (85, 1), (117, 1), (185, 1), (232, 1), (262, 1), (307, 1), (414, 1), (419, 1), (420, 1), (434, 1), (505, 1), (632, 1), (688, 1), (752, 1), (908, 1), (970, 1), (1102, 1), (1118, 1), (2983, 1), (3566, 1), (5664, 1), (5921, 1), (6116, 1), (6551, 1), (9497, 1), (11203, 1), (11821, 1), (12292, 1), (18193, 1)], [(8, 1), (53, 1), (55, 1), (58, 1), (241, 1), (903, 1), (6129, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (25, 2), (42, 1), (50, 1), (53, 1), (91, 1), (182, 1), (187, 1), (269, 1), (286, 1), (337, 1), (361, 1), (404, 1), (459, 2), (2730, 1), (3134, 1), (6315, 1), (8060, 1), (18160, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 2), (25, 5), (31, 2), (37, 1), (50, 2), (53, 7), (54, 1), (55, 1), (58, 1), (65, 1), (69, 1), (90, 2), (95, 1), (109, 1), (122, 1), (170, 1), (186, 1), (206, 1), (215, 1), (270, 1), (310, 1), (329, 1), (338, 1), (347, 1), (365, 2), (392, 1), (405, 1), (420, 1), (459, 1), (504, 1), (705, 1), (744, 3), (777, 1), (891, 1), (897, 1), (903, 1), (1010, 1), (1131, 1), (1348, 2), (1651, 1), (1960, 1), (2406, 1), (2479, 1), (2724, 1), (3181, 1), (3400, 1), (3426, 1), (4214, 1), (4349, 1), (5664, 1), (6442, 1), (7643, 1), (12687, 1), (13816, 1), (13895, 1), (14708, 1), (15058, 1), (17940, 1), (18194, 1), (18195, 1), (18196, 1), (18197, 1), (18198, 1), (18199, 1), (18200, 1), (18201, 1), (18202, 1)], [(8, 1), (19, 1), (20, 4), (32, 1), (45, 1), (53, 2), (95, 1), (109, 2), (256, 1), (323, 1), (347, 1), (373, 1), (708, 1), (1227, 1), (1308, 1), (1458, 1), (1878, 1), (2286, 1), (2667, 1), (3827, 1), (4795, 1), (6315, 1), (7278, 1), (10805, 1), (18203, 1), (18204, 1), (18205, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (21, 2), (25, 1), (31, 1), (37, 1), (50, 2), (53, 2), (63, 1), (90, 2), (187, 1), (286, 1), (293, 1), (307, 1), (706, 1), (744, 1), (1574, 1), (2847, 2), (2917, 1), (3041, 1), (4667, 1), (5559, 1), (6213, 1), (6315, 1), (7938, 2), (11018, 1), (14693, 1), (15324, 1), (18206, 1), (18207, 1), (18208, 1)], [(8, 1), (19, 1), (20, 3), (25, 2), (30, 1), (36, 1), (45, 2), (55, 1), (58, 1), (64, 1), (65, 1), (256, 1), (288, 2), (1557, 1), (1932, 1), (2344, 1), (3822, 1), (4237, 1), (4787, 2), (5053, 1), (5559, 1), (5686, 1), (11062, 1), (14464, 1)], [(8, 1), (20, 2), (22, 1), (34, 1), (36, 1), (50, 1), (53, 1), (65, 2), (90, 1), (206, 2), (261, 1), (278, 3), (407, 1), (743, 1), (999, 1), (1583, 1), (2164, 1), (2340, 1), (3426, 1), (3786, 1), (4509, 1), (6928, 1), (9533, 1), (18209, 2), (18210, 1)], [(247, 1), (1670, 1)], [(19, 2), (20, 5), (22, 6), (25, 2), (31, 1), (34, 1), (37, 1), (50, 2), (53, 2), (65, 1), (90, 1), (108, 1), (111, 1), (117, 1), (172, 1), (174, 1), (206, 1), (215, 1), (226, 2), (232, 1), (247, 1), (256, 1), (263, 1), (268, 1), (278, 1), (281, 1), (341, 1), (407, 1), (414, 1), (505, 1), (518, 1), (680, 1), (1139, 2), (1348, 1), (1702, 1), (2163, 1), (2400, 1), (2693, 1), (3041, 1), (3740, 1), (4184, 1), (4238, 1), (4851, 1), (4910, 1), (5157, 1), (5585, 1), (7943, 1), (8018, 1), (8304, 1), (8470, 1), (10955, 1), (11969, 1), (12261, 1), (13158, 1), (14069, 1), (16583, 1), (18207, 1), (18211, 1), (18212, 1), (18213, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (58, 1), (268, 1), (415, 1), (448, 1), (697, 1), (833, 1), (893, 1), (983, 1), (1122, 1), (1481, 1), (4793, 1), (13084, 1), (18214, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (25, 2), (29, 1), (31, 2), (50, 4), (53, 3), (64, 1), (65, 1), (206, 1), (278, 1), (323, 1), (337, 1), (352, 1), (357, 3), (442, 1), (506, 1), (518, 1), (531, 1), (556, 1), (580, 1), (723, 1), (1041, 1), (1270, 1), (1350, 1), (1583, 1), (1873, 1), (1879, 1), (2276, 1), (2625, 1), (3289, 1), (4358, 1), (4841, 1), (5534, 1), (7758, 1), (8589, 1), (10247, 1), (12285, 1), (13183, 1), (18215, 1), (18216, 1), (18217, 1), (18218, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (45, 1), (95, 1), (170, 1), (185, 1), (225, 1), (506, 1), (654, 1), (706, 1), (897, 1), (1122, 1), (1458, 1), (2406, 1), (3043, 1), (4643, 1), (4841, 1), (5559, 1), (18207, 1)], [(20, 1), (25, 1), (50, 1), (64, 1), (247, 1), (1583, 1), (4619, 1), (7881, 1), (10452, 1), (18219, 1), (18220, 1)], [(20, 3), (31, 1), (37, 1), (90, 1), (185, 1), (247, 1), (269, 2), (1012, 1), (1583, 1), (1823, 1), (2428, 1), (3786, 1), (18221, 1), (18222, 1), (18223, 1), (18224, 1)], [(8, 1), (20, 4), (37, 1), (55, 1), (58, 1), (65, 1), (82, 1), (90, 1), (95, 1), (256, 1), (357, 1), (359, 1), (505, 1), (1308, 1), (1458, 1), (1823, 1), (2258, 1), (2745, 1), (3426, 1), (4082, 1), (4799, 1), (5134, 1), (5148, 1), (6286, 1), (8861, 1), (18225, 1)], [(8, 1), (18, 2), (20, 3), (55, 1), (357, 1), (504, 1), (506, 1), (895, 1), (1350, 1), (1742, 1), (6286, 1), (10827, 2), (10851, 1), (10955, 1)], [(7, 1), (8, 1), (20, 2), (22, 1), (23, 1), (32, 1), (50, 1), (215, 1), (226, 1), (242, 1), (256, 1), (487, 1), (506, 1), (672, 1), (680, 1), (776, 1), (1010, 1), (1071, 1), (2849, 1), (4841, 1), (9779, 1), (14383, 1), (15567, 1), (15596, 1), (18226, 1), (18227, 1)], [(8, 1), (20, 3), (31, 1), (40, 1), (45, 1), (53, 1), (64, 1), (108, 1), (246, 1), (365, 1), (1308, 1), (1939, 1), (2157, 1), (2168, 1), (2656, 1), (4353, 1), (4734, 1), (4942, 1), (9620, 2), (12065, 1)], [(7, 1), (20, 2), (22, 1), (25, 1), (50, 1), (53, 1), (65, 1), (168, 1), (214, 1), (295, 1), (365, 1), (506, 1), (1102, 1), (1132, 1), (1178, 1), (1580, 1), (1791, 1), (1824, 1), (3486, 1), (5157, 1), (14056, 1), (18228, 1), (18229, 1), (18230, 1)], [(1544, 1), (18231, 1)], [(8, 1), (24, 1), (756, 1), (3604, 1)], [(8, 1), (19, 2), (20, 3), (22, 4), (24, 1), (90, 1), (187, 1), (269, 4), (347, 1), (404, 1), (1160, 1), (1270, 1), (1348, 1), (1807, 1), (2070, 1), (2730, 1), (2917, 1), (4228, 1), (4349, 1), (6281, 1), (6633, 1), (7208, 1)], [(7, 1), (8, 1), (22, 3), (25, 2), (37, 1), (53, 2), (54, 1), (58, 1), (71, 1), (82, 1), (90, 2), (117, 1), (166, 1), (232, 1), (256, 1), (269, 1), (347, 1), (373, 2), (443, 1), (459, 1), (461, 1), (632, 1), (1041, 1), (1057, 1), (1224, 1), (1248, 1), (1456, 1), (2270, 1), (2324, 1), (2344, 1), (2926, 1), (5089, 1), (5920, 1), (6281, 1), (6315, 1), (7382, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (24, 1), (25, 2), (53, 5), (54, 1), (65, 2), (85, 1), (95, 2), (97, 1), (109, 1), (117, 2), (232, 2), (281, 3), (428, 1), (435, 1), (516, 1), (626, 1), (893, 1), (1041, 1), (1348, 1), (1501, 1), (1653, 1), (2340, 1), (2341, 1), (2401, 1), (2501, 1), (2646, 1), (3064, 1), (3103, 1), (3540, 1), (3733, 1), (4473, 1), (5173, 1), (5426, 1), (5784, 1), (7400, 1), (8017, 1), (8814, 1), (9774, 1), (12218, 1), (13739, 1), (18232, 1), (18233, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (31, 1), (37, 1), (45, 1), (53, 5), (55, 1), (90, 1), (95, 1), (117, 1), (232, 1), (256, 1), (323, 1), (373, 1), (450, 1), (903, 1), (1097, 1), (1122, 1), (1227, 1), (1328, 1), (1506, 1), (2365, 1), (2753, 1), (3827, 1), (4940, 1), (5403, 1), (6315, 1), (6509, 1), (7416, 1), (13806, 1), (14683, 1), (14942, 1), (18234, 1)], [(8, 1), (20, 1), (31, 1), (50, 2), (53, 2), (92, 1), (126, 1), (516, 1), (777, 1), (1010, 1), (2380, 1), (3491, 1), (3611, 1), (3709, 1), (11147, 1), (18235, 1), (18236, 1), (18237, 1), (18238, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 4), (56, 1), (109, 1), (600, 1), (711, 1), (726, 1), (903, 1), (1122, 1), (1224, 1), (2286, 1), (2344, 1), (2977, 2), (6315, 1), (8436, 1), (14683, 1), (17211, 1), (18219, 1), (18239, 1)], [(8, 1), (23, 1), (58, 1), (64, 1), (172, 1), (173, 1), (233, 1), (1163, 1), (1458, 1), (8549, 1)], [(53, 1), (64, 1), (1714, 1), (3319, 1), (18240, 1)], [(20, 2), (23, 1), (51, 1), (71, 1), (82, 1), (90, 1), (233, 1), (581, 1), (645, 1), (946, 1), (1609, 1), (1911, 1), (3849, 1), (4386, 1), (6316, 1), (9527, 1)], [(53, 1), (64, 1), (90, 1), (214, 1), (323, 1), (331, 1), (365, 1), (414, 1), (946, 1), (5161, 1), (15006, 1)], [(7, 2), (20, 3), (22, 2), (23, 1), (25, 1), (31, 1), (50, 1), (51, 1), (53, 4), (64, 1), (66, 1), (71, 2), (82, 1), (90, 1), (182, 1), (185, 1), (203, 2), (233, 1), (245, 1), (269, 1), (301, 1), (353, 1), (357, 1), (365, 1), (414, 2), (418, 1), (645, 1), (763, 1), (924, 1), (1354, 1), (1488, 1), (1686, 1), (2270, 1), (2344, 1), (2681, 1), (4130, 1), (5161, 1), (5839, 1), (13113, 1), (18240, 1), (18241, 1)], [(20, 1), (64, 1), (247, 1), (4390, 1), (4939, 1)], [(8, 1), (18, 2), (20, 1), (25, 1), (53, 3), (55, 1), (65, 1), (90, 1), (108, 1), (435, 1), (583, 1), (705, 1), (777, 1), (1041, 1), (1668, 1), (2418, 1), (2847, 1), (9527, 1), (10109, 1), (14683, 1), (18242, 1), (18243, 1)], [(247, 1), (2379, 1)], [(18, 1), (34, 1), (66, 1), (82, 1), (292, 1), (419, 1), (1627, 1), (1668, 1), (2153, 1)], [(20, 2), (51, 1), (58, 2), (64, 1), (66, 1), (71, 1), (82, 2), (111, 1), (182, 1), (357, 1), (645, 1), (1057, 1), (5161, 1), (13577, 1), (18244, 1)], [(54, 1), (64, 1), (90, 1), (96, 1), (331, 1), (410, 1), (946, 1), (3091, 1), (6936, 1)], [(19, 1), (20, 1), (23, 1), (53, 1), (58, 1), (64, 1), (66, 1), (245, 1), (287, 1), (292, 1), (307, 1), (702, 1), (1702, 1), (2117, 1), (2344, 1), (3907, 1), (4841, 1)], [(19, 2), (20, 2), (21, 2), (23, 1), (40, 1), (58, 1), (64, 1), (82, 1), (90, 1), (170, 1), (203, 1), (293, 2), (307, 1), (331, 1), (357, 2), (420, 1), (504, 1), (506, 2), (556, 1), (581, 1), (872, 1), (897, 1), (1683, 1), (1702, 2), (1714, 1), (2270, 1), (3523, 1), (3907, 1), (5768, 1), (18245, 1)], [(20, 3), (23, 1), (37, 1), (247, 1), (273, 1), (295, 1), (792, 1), (897, 1), (1580, 1), (2013, 1), (2048, 1), (3907, 1), (5134, 1)], [(1, 1), (4, 1), (23, 2), (25, 1), (58, 1), (66, 1), (90, 1), (172, 1), (226, 1), (292, 1), (367, 1), (418, 1), (1824, 1), (17563, 1), (18246, 1)], [(20, 2), (31, 1), (45, 1), (51, 1), (53, 2), (64, 1), (65, 1), (66, 1), (186, 1), (215, 1), (233, 1), (245, 1), (261, 1), (516, 1), (561, 1), (581, 1), (645, 1), (810, 1), (999, 1), (1163, 1), (1198, 1), (1308, 1), (1755, 1), (2265, 1), (2286, 1), (3283, 1), (10970, 1), (13644, 1), (14683, 1)], [(18, 1), (20, 3), (23, 1), (24, 1), (25, 2), (50, 1), (55, 1), (64, 1), (242, 1), (295, 1), (365, 2), (405, 2), (414, 4), (897, 1), (1163, 1), (1178, 1), (1898, 1), (2633, 1), (2925, 1), (3918, 1), (4392, 1), (5954, 1), (6315, 1), (18247, 1), (18248, 1), (18249, 1)], [(8, 1), (20, 1), (215, 1), (269, 1), (459, 1), (645, 1), (1458, 1), (1689, 1), (6073, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (25, 2), (53, 4), (54, 1), (95, 1), (109, 1), (117, 1), (232, 1), (373, 1), (414, 1), (426, 1), (443, 1), (709, 1), (893, 1), (1506, 1), (2270, 1), (2795, 1), (6261, 1), (7205, 1), (7206, 1), (8435, 1), (13593, 1)], [(1544, 1), (18250, 1)], [(8, 1), (24, 1), (18251, 1)], [(8, 1), (19, 2), (20, 5), (22, 2), (24, 1), (25, 3), (37, 1), (45, 3), (53, 8), (55, 1), (108, 3), (109, 1), (117, 1), (193, 1), (197, 1), (232, 1), (261, 2), (285, 2), (306, 1), (309, 1), (328, 1), (361, 1), (406, 1), (414, 1), (420, 1), (450, 1), (627, 1), (707, 1), (709, 1), (742, 1), (800, 1), (902, 1), (1287, 1), (1710, 1), (2544, 1), (2692, 1), (2934, 1), (3791, 1), (3914, 1), (4473, 1), (4557, 1), (4729, 1), (4988, 1), (6228, 1), (6315, 1), (9548, 1), (9804, 1), (10314, 1), (11439, 1), (11454, 1), (13747, 1), (15955, 1), (16400, 1), (16880, 1)], [(8, 1), (53, 1), (359, 1), (426, 1), (902, 1), (1342, 1), (2178, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (31, 1), (45, 3), (50, 2), (53, 2), (54, 2), (65, 1), (122, 1), (281, 1), (373, 1), (410, 1), (1012, 2), (1699, 1), (1931, 1), (2320, 1), (3426, 1), (4282, 1), (6261, 1), (6315, 1), (8243, 1), (9348, 1), (9352, 1), (12753, 1), (15875, 1), (18252, 1)], [(8, 1), (20, 2), (31, 2), (50, 1), (53, 1), (90, 1), (214, 1), (215, 1), (346, 1), (365, 1), (412, 1), (2538, 1), (6149, 1), (16523, 1), (16844, 1)], [(8, 1), (50, 1), (53, 2), (65, 1), (117, 1), (232, 1), (583, 1), (658, 1), (675, 1), (2482, 1), (3426, 1), (5266, 1), (5877, 1), (6149, 1), (10232, 1), (10728, 1), (18253, 1), (18254, 1), (18255, 1)], [(8, 1), (22, 3), (24, 1), (25, 1), (50, 2), (53, 2), (77, 1), (117, 1), (185, 1), (214, 1), (215, 1), (232, 1), (328, 1), (332, 1), (3056, 1), (3585, 1), (3942, 1), (4214, 1), (4529, 1), (5012, 1), (5534, 1), (6358, 1), (10460, 1), (10906, 1), (11187, 1), (11836, 1), (18256, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (54, 1), (55, 1), (88, 1), (90, 2), (92, 1), (97, 1), (117, 1), (232, 1), (264, 1), (999, 1), (1668, 1), (2013, 1), (3295, 1), (3651, 1), (6315, 1), (16821, 1), (18257, 1)], [(8, 1), (19, 3), (20, 3), (25, 1), (31, 1), (45, 3), (50, 1), (53, 4), (55, 1), (65, 1), (90, 1), (108, 1), (130, 1), (173, 1), (220, 1), (241, 1), (420, 1), (448, 1), (709, 1), (725, 1), (743, 1), (1041, 1), (1080, 1), (1570, 1), (1695, 1), (1699, 1), (2433, 1), (3426, 1), (3661, 2), (4074, 1), (5169, 1), (6034, 1), (8319, 1), (10577, 1), (10822, 1), (12292, 1), (18258, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 2), (30, 2), (45, 3), (50, 1), (53, 4), (54, 4), (55, 2), (117, 2), (186, 1), (232, 2), (261, 1), (414, 1), (450, 1), (516, 1), (531, 1), (709, 1), (922, 1), (976, 1), (1071, 1), (1308, 1), (1350, 1), (1529, 1), (2051, 1), (2064, 1), (2168, 1), (2193, 1), (2977, 2), (2985, 1), (3305, 1), (3426, 1), (3487, 1), (4440, 1), (4579, 1), (6315, 1), (7332, 1), (11902, 1), (14683, 1), (16578, 1), (16767, 1), (18259, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (45, 3), (53, 1), (54, 1), (55, 1), (71, 1), (90, 1), (96, 1), (193, 1), (203, 1), (281, 1), (406, 1), (771, 1), (1570, 1), (1627, 1), (2359, 1), (2694, 1), (2823, 1), (3638, 1), (3661, 1), (6315, 1), (8234, 1), (8243, 1), (9352, 1), (11372, 1)], [(18, 1), (19, 1), (20, 1), (25, 1), (53, 1), (64, 1), (65, 1), (117, 1), (173, 1), (186, 1), (232, 1), (247, 1), (252, 1), (365, 1), (392, 1), (428, 1), (433, 1), (1377, 1), (1416, 1), (1458, 1), (1730, 1), (2157, 1), (2304, 1), (2812, 1), (3426, 1), (7414, 1), (18260, 1)], [(25, 1), (247, 1), (357, 1), (678, 1), (1012, 1), (5126, 1)], [(21, 1), (23, 2), (53, 1), (71, 1), (202, 1), (256, 1), (357, 2), (506, 1), (1139, 2), (1714, 1), (2625, 1), (4455, 1), (4473, 1), (6321, 1), (13577, 1), (18261, 1), (18262, 1)], [(77, 1), (185, 1), (357, 1), (372, 1), (387, 1), (415, 1), (448, 1), (506, 1), (672, 1), (1139, 1), (1416, 1), (1714, 1), (2145, 1), (8086, 1), (13577, 1)], [(1, 1), (4, 1), (77, 1), (1323, 1), (1714, 1)], [(8, 1), (30, 1), (71, 1), (106, 1), (203, 1), (357, 1), (1570, 1), (3305, 1)], [(20, 3), (22, 1), (25, 1), (30, 1), (32, 2), (50, 2), (53, 4), (77, 2), (90, 2), (220, 2), (245, 1), (260, 2), (261, 1), (357, 1), (414, 1), (428, 2), (452, 1), (632, 1), (1170, 1), (1178, 1), (1456, 1), (1750, 1), (2495, 1), (3041, 1), (3426, 1), (4390, 1), (9154, 2), (9975, 1), (12514, 1)], [(20, 5), (25, 2), (45, 1), (53, 1), (64, 1), (173, 1), (193, 1), (247, 1), (269, 1), (337, 1), (392, 1), (415, 1), (1041, 1), (1284, 1), (1458, 1), (2157, 1), (2417, 1), (3051, 1), (7396, 1), (9683, 1), (12662, 1), (18257, 1), (18263, 1), (18264, 1), (18265, 1)], [(19, 1), (20, 7), (22, 2), (25, 4), (37, 1), (50, 3), (53, 3), (56, 1), (71, 1), (75, 1), (90, 1), (96, 1), (117, 1), (178, 1), (185, 1), (245, 2), (247, 1), (256, 2), (268, 1), (337, 1), (357, 2), (392, 1), (414, 1), (601, 1), (1139, 1), (1270, 1), (1287, 1), (1685, 1), (2145, 1), (4687, 1), (4841, 1), (5000, 1), (5254, 1), (6229, 1), (6936, 1), (8394, 1), (8501, 1), (10583, 1), (13577, 1), (18266, 1), (18267, 1), (18268, 1), (18269, 1), (18270, 1)], [(82, 1), (124, 1), (247, 1), (269, 1), (6441, 1)], [(19, 1), (22, 1), (25, 1), (50, 2), (53, 1), (55, 1), (65, 1), (71, 1), (82, 1), (111, 1), (190, 1), (247, 1), (252, 1), (269, 2), (357, 1), (680, 1), (1139, 1), (1824, 1), (1830, 1), (1840, 1), (2145, 1), (3242, 1), (3426, 1), (4841, 1), (6261, 1), (13577, 1), (15792, 1), (18271, 1), (18272, 1)], [(247, 1), (18273, 1)], [(19, 1), (20, 4), (22, 1), (25, 1), (30, 1), (32, 1), (37, 1), (51, 1), (53, 1), (55, 1), (71, 1), (90, 2), (117, 1), (206, 1), (214, 1), (215, 1), (232, 1), (245, 1), (246, 1), (247, 1), (256, 1), (260, 1), (261, 2), (306, 1), (357, 1), (487, 1), (645, 1), (1001, 1), (1823, 1), (2365, 1), (2780, 1), (3426, 1), (3476, 1), (4473, 1), (4841, 1), (4942, 1), (8272, 1), (18265, 1), (18274, 1), (18275, 1), (18276, 1)], [(7, 1), (8, 1), (19, 2), (20, 1), (22, 1), (30, 1), (45, 2), (50, 2), (53, 2), (82, 1), (109, 1), (117, 2), (168, 1), (185, 1), (214, 1), (215, 1), (232, 2), (261, 1), (332, 1), (347, 1), (414, 1), (504, 1), (645, 1), (706, 1), (723, 1), (1528, 1), (2374, 1), (4142, 1), (5391, 1), (5697, 1), (6358, 1), (15072, 1), (18277, 1)], [(20, 1), (245, 1), (357, 1), (1178, 1), (18257, 1), (18274, 1)], [(7, 3), (8, 1), (19, 1), (20, 4), (22, 2), (23, 1), (25, 3), (53, 4), (58, 1), (64, 1), (117, 1), (190, 1), (232, 1), (245, 1), (268, 1), (292, 1), (365, 1), (414, 1), (506, 2), (697, 1), (709, 1), (1239, 1), (1580, 2), (2051, 1), (2064, 1), (2184, 1), (3852, 1), (5040, 1), (7167, 1), (7184, 1), (7501, 2), (9755, 1), (15858, 1), (18278, 1), (18279, 1), (18280, 1)], [(19, 1), (20, 2), (22, 1), (23, 2), (25, 1), (53, 2), (64, 1), (90, 1), (109, 1), (245, 2), (357, 1), (373, 1), (387, 1), (414, 2), (1012, 1), (1163, 1), (1178, 1), (1820, 2), (2064, 1), (4939, 1), (7688, 1), (8032, 1), (8051, 1), (9308, 1), (18281, 1), (18282, 1), (18283, 1)], [(8, 1), (18, 2), (20, 3), (21, 1), (25, 3), (45, 1), (51, 1), (53, 2), (55, 1), (90, 2), (108, 2), (117, 1), (206, 1), (209, 1), (232, 1), (645, 1), (704, 1), (777, 1), (893, 1), (903, 2), (1377, 1), (1820, 2), (2019, 1), (2374, 2), (2977, 1), (3389, 1), (3476, 1), (4322, 1), (5063, 1), (6315, 1), (6845, 1), (9419, 1), (14683, 1), (15386, 1), (18284, 1), (18285, 1), (18286, 1)], [(7, 1), (20, 5), (22, 1), (25, 1), (50, 1), (53, 5), (85, 1), (173, 1), (247, 1), (329, 1), (414, 1), (450, 1), (553, 1), (1057, 1), (1198, 1), (1324, 1), (1529, 1), (1718, 1), (1958, 1), (2064, 1), (2820, 1), (3176, 1), (3751, 1), (4563, 1), (5065, 1), (5611, 1), (6315, 1), (10314, 1), (18287, 1), (18288, 1), (18289, 1), (18290, 1)], [(31, 1), (1009, 1), (1178, 1), (3786, 1), (4533, 1), (6155, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (53, 3), (65, 2), (174, 1), (215, 2), (269, 1), (281, 2), (359, 1), (414, 1), (460, 1), (531, 1), (709, 1), (765, 1), (903, 1), (1122, 1), (1159, 3), (1248, 2), (1350, 1), (1570, 1), (1699, 1), (2200, 1), (6165, 1), (6230, 1), (7039, 1), (7913, 1), (8442, 1), (9823, 1), (11959, 1), (12605, 1), (13717, 1), (18291, 1), (18292, 1), (18293, 1)], [(8, 1), (20, 3), (25, 1), (53, 3), (65, 1), (117, 2), (173, 1), (215, 1), (232, 2), (441, 1), (697, 1), (1481, 1), (2036, 1), (2064, 1), (2348, 1), (2543, 1), (6129, 1), (6315, 1), (7286, 1), (9516, 1), (11345, 1), (11854, 1), (12383, 1), (18294, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (23, 2), (25, 2), (37, 1), (50, 1), (53, 1), (57, 1), (58, 2), (64, 1), (172, 2), (182, 1), (193, 1), (263, 1), (307, 1), (310, 2), (505, 1), (999, 1), (1041, 1), (1227, 1), (2173, 1), (2344, 1), (8142, 1), (11077, 1), (12328, 1), (12383, 1), (14222, 1), (16856, 1), (18295, 1)], [(50, 1), (247, 1), (502, 1), (645, 1), (1886, 1)], [(20, 1), (37, 1), (50, 3), (96, 1), (185, 1), (190, 1), (193, 1), (256, 1), (269, 1), (406, 1), (505, 1), (884, 1), (1178, 1), (2381, 1), (2548, 1), (4386, 1), (6982, 1), (12765, 1)], [(8, 2), (20, 3), (21, 2), (64, 2), (65, 2), (82, 1), (90, 1), (256, 1), (295, 1), (324, 1), (365, 2), (1163, 1), (1195, 1), (1594, 1), (2381, 1), (2440, 1), (2925, 1), (4939, 1), (7286, 1), (7295, 1), (8142, 2), (18296, 1)], [(20, 3), (22, 2), (23, 2), (25, 1), (50, 1), (51, 1), (83, 1), (90, 1), (91, 1), (117, 1), (203, 1), (206, 2), (240, 1), (268, 1), (269, 1), (325, 1), (354, 1), (428, 1), (448, 1), (1354, 1), (2013, 1), (2030, 1), (2495, 1), (4797, 1), (6315, 1), (8424, 1), (9066, 1), (11205, 1), (16799, 1)], [(20, 3), (22, 1), (25, 1), (31, 2), (53, 1), (58, 1), (256, 1), (331, 1), (357, 1), (506, 1), (970, 1), (1178, 1), (1431, 1), (3465, 1), (3476, 1), (5161, 1), (6315, 1), (18297, 1)], [(1544, 1), (18298, 1)], [(8, 1), (24, 1), (18299, 1)], [(8, 1), (31, 1), (50, 2), (53, 2), (256, 1), (392, 1), (1079, 1), (2533, 1), (4431, 1), (9513, 1), (10709, 1), (11008, 1), (11477, 1), (13804, 1), (14100, 1), (18300, 1), (18301, 1), (18302, 1)], [(8, 1), (53, 2), (90, 1), (256, 1), (392, 1), (407, 1), (812, 1), (1779, 1), (2532, 1), (4931, 1), (5465, 1), (5692, 1), (5738, 1), (5872, 1), (7858, 1), (10916, 1), (13513, 1), (16888, 1), (17349, 1), (18303, 1)], [(8, 1), (20, 4), (31, 1), (37, 1), (50, 1), (53, 3), (58, 1), (77, 1), (90, 1), (206, 1), (241, 1), (278, 1), (518, 1), (1090, 1), (6149, 1), (7460, 1), (10597, 1), (11086, 1), (12498, 1), (18215, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (85, 1), (90, 1), (109, 1), (122, 1), (190, 1), (275, 1), (281, 1), (516, 1), (531, 1), (1691, 1), (1800, 1), (4116, 1), (4214, 1), (18304, 1), (18305, 1), (18306, 1), (18307, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (25, 1), (50, 2), (53, 1), (54, 2), (65, 1), (90, 1), (97, 1), (347, 1), (361, 1), (1159, 2), (1414, 1), (1477, 1), (1656, 1), (2917, 1), (3400, 1), (4109, 1), (6129, 1), (6734, 1), (7208, 1), (7899, 1), (11162, 1), (18215, 1), (18308, 1)], [(8, 1), (20, 3), (25, 4), (50, 1), (53, 6), (55, 3), (90, 1), (97, 1), (108, 1), (226, 1), (328, 1), (337, 1), (347, 1), (365, 1), (414, 1), (426, 1), (763, 1), (765, 1), (987, 1), (1041, 1), (1352, 1), (1656, 1), (2283, 1), (2518, 1), (3013, 1), (3256, 1), (4117, 1), (4214, 1), (5719, 1), (5728, 1), (7688, 1), (8293, 1), (18309, 1), (18310, 1), (18311, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (22, 2), (25, 2), (31, 1), (34, 1), (50, 2), (53, 6), (54, 1), (65, 1), (96, 1), (172, 1), (193, 1), (197, 1), (224, 1), (306, 1), (328, 1), (414, 1), (459, 1), (600, 1), (601, 1), (913, 1), (1352, 1), (1529, 1), (2064, 1), (2075, 1), (2965, 1), (3110, 1), (3347, 1), (3385, 1), (4736, 1), (4950, 1), (5485, 1), (7286, 1), (7295, 1), (7411, 1), (8900, 1), (9696, 1), (11899, 1), (12245, 1), (12433, 1), (13542, 1), (18312, 1)], [(8, 1), (37, 1), (290, 1), (301, 1), (450, 1), (903, 1), (3771, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 1), (50, 1), (53, 3), (82, 1), (117, 1), (232, 1), (373, 1), (452, 1), (792, 1), (2075, 1), (2117, 1), (3540, 1), (5081, 1), (6281, 1), (6315, 1), (8580, 1), (11952, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (37, 1), (53, 3), (58, 1), (92, 1), (112, 1), (117, 2), (126, 1), (186, 1), (193, 1), (232, 2), (305, 1), (334, 1), (365, 1), (373, 1), (516, 1), (632, 1), (709, 1), (710, 1), (1012, 2), (1197, 1), (1458, 1), (1656, 1), (2795, 1), (4904, 1), (12453, 1), (15858, 1), (18313, 1), (18314, 1)], [(20, 1), (64, 1), (247, 1), (608, 2), (2954, 1), (18315, 1)], [(8, 2), (20, 2), (53, 2), (64, 1), (172, 1), (190, 1), (233, 1), (256, 1), (365, 1), (697, 1), (1041, 1), (1163, 1), (1195, 1), (3829, 1), (7286, 1), (7295, 1), (11673, 1)], [(8, 1), (20, 2), (58, 1), (108, 1), (117, 1), (269, 1), (581, 1), (759, 1), (3400, 1), (7295, 1)], [(8, 1), (18, 2), (20, 4), (25, 1), (34, 1), (37, 1), (53, 2), (56, 1), (58, 2), (174, 1), (225, 1), (247, 1), (307, 1), (334, 1), (744, 1), (897, 1), (1106, 1), (1122, 1), (1195, 1), (2680, 1), (2705, 1), (3036, 1), (4767, 1), (4959, 1), (5657, 1), (7286, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (37, 1), (53, 2), (58, 1), (77, 1), (108, 1), (172, 1), (215, 1), (226, 1), (301, 1), (506, 1), (1476, 1), (1731, 1), (2064, 1), (4575, 1), (5657, 1)], [(22, 1), (31, 1), (37, 1), (51, 1), (53, 1), (58, 1), (117, 1), (232, 1), (293, 1), (301, 1), (392, 1), (812, 1), (960, 1), (1594, 1), (2490, 1), (3563, 1), (8066, 1), (10310, 1), (18316, 1)], [(247, 1), (1583, 1)], [(18, 2), (20, 9), (45, 1), (53, 3), (65, 1), (77, 3), (95, 1), (117, 2), (126, 1), (247, 1), (331, 1), (623, 1), (1444, 1), (1585, 1), (1932, 1), (2132, 1), (2153, 1), (2904, 1), (4757, 1), (5134, 1), (12247, 1), (18317, 1), (18318, 1), (18319, 1), (18320, 1), (18321, 1), (18322, 1), (18323, 1)], [(18, 2), (20, 7), (24, 1), (31, 1), (37, 1), (45, 1), (53, 2), (65, 1), (77, 1), (117, 1), (173, 1), (232, 1), (247, 1), (658, 1), (1308, 1), (1444, 1), (2153, 1), (2836, 1), (2904, 1), (3013, 1), (4530, 1), (4757, 1), (5134, 1), (10781, 1), (17159, 1), (18318, 1), (18319, 1), (18320, 1), (18321, 1), (18322, 1), (18323, 1), (18324, 1), (18325, 1), (18326, 1), (18327, 1), (18328, 1)], [(18, 1), (20, 9), (45, 1), (50, 1), (53, 2), (65, 1), (77, 1), (117, 1), (126, 1), (173, 1), (185, 1), (247, 1), (301, 1), (355, 1), (1308, 1), (1351, 1), (1444, 1), (1932, 1), (2153, 1), (2886, 1), (2904, 1), (4757, 1), (5134, 1), (17159, 1), (18318, 1), (18319, 1), (18320, 1), (18321, 1), (18322, 1), (18323, 1), (18329, 1), (18330, 1), (18331, 1)], [(18, 1), (20, 2), (22, 1), (25, 1), (31, 1), (45, 1), (53, 1), (64, 2), (66, 1), (84, 1), (226, 1), (256, 1), (327, 1), (357, 2), (498, 1), (504, 1), (556, 1), (645, 1), (1113, 1), (1163, 1), (1698, 1), (1867, 1), (2925, 1), (4146, 1), (4841, 1), (5353, 1), (6324, 1), (6994, 1), (7286, 1), (7295, 1), (18110, 1), (18215, 1)], [(8, 1), (18, 3), (19, 1), (22, 3), (23, 4), (25, 1), (54, 1), (64, 1), (82, 1), (186, 1), (233, 1), (242, 2), (301, 1), (645, 2), (812, 1), (1113, 1), (1580, 1), (2515, 1), (3459, 1), (4146, 2), (9152, 1)], [(8, 2), (19, 2), (20, 2), (23, 1), (31, 1), (56, 1), (58, 1), (77, 1), (96, 1), (99, 1), (117, 1), (185, 1), (232, 1), (256, 1), (268, 1), (328, 1), (331, 1), (697, 1), (703, 1), (1195, 1), (1580, 2), (2145, 1), (2234, 1), (3447, 1), (4118, 1), (7286, 1)], [(18, 1), (19, 1), (20, 1), (23, 1), (53, 1), (65, 1), (66, 1), (90, 1), (108, 1), (117, 1), (186, 1), (232, 1), (269, 1), (295, 1), (331, 1), (420, 1), (754, 1), (1113, 1), (1760, 1), (3181, 1), (16143, 1)], [(64, 1), (247, 1), (18332, 1)], [(50, 1), (66, 1), (92, 1), (229, 1), (261, 1), (352, 1), (357, 1), (504, 1), (1170, 1), (1580, 1), (3056, 1), (4386, 1)], [(64, 1), (247, 1), (596, 1)], [(18, 1), (20, 1), (34, 1), (50, 1), (99, 1), (288, 2), (581, 1), (812, 1), (833, 1), (946, 1), (1224, 1), (1296, 1), (1594, 1), (2016, 1), (2276, 1), (3044, 1), (6671, 1)], [(64, 1), (325, 1), (1178, 1)], [(1, 1), (4, 1), (7, 1), (19, 1), (20, 4), (25, 1), (45, 1), (53, 5), (64, 1), (75, 1), (77, 1), (82, 1), (90, 1), (108, 1), (109, 1), (357, 1), (433, 1), (452, 1), (742, 1), (1137, 1), (1328, 1), (1585, 1), (1714, 1), (2025, 1), (2925, 1), (2967, 1), (3036, 1), (3416, 1), (6315, 1), (7286, 1), (7295, 1), (10753, 1), (12408, 1), (18333, 1)], [(19, 1), (53, 1), (173, 1), (185, 1), (361, 1), (452, 1), (1714, 1), (2200, 1), (3416, 1), (6261, 1)], [(22, 1), (32, 1), (45, 1), (77, 1), (90, 1), (328, 1), (373, 1), (1139, 1), (1197, 1), (1714, 1), (2812, 1)], [(19, 1), (20, 2), (21, 1), (22, 1), (45, 1), (53, 1), (65, 2), (77, 2), (173, 1), (247, 1), (359, 1), (645, 2), (710, 1), (800, 2), (1139, 1), (1197, 1), (1287, 1), (3694, 1), (9613, 1)], [(20, 2), (25, 1), (203, 1), (247, 1), (346, 1), (357, 1), (504, 1), (1113, 1), (1324, 1), (1963, 1), (4251, 1)], [(23, 1), (31, 1), (53, 1), (64, 1), (96, 1), (117, 2), (232, 1), (295, 1), (392, 1), (754, 1), (759, 1), (946, 1), (1350, 1), (1907, 1), (3200, 1)], [(8, 1), (19, 1), (20, 3), (50, 2), (53, 2), (64, 1), (77, 1), (117, 1), (232, 1), (697, 1), (1122, 1), (1163, 1), (1361, 1), (1778, 1), (1856, 1), (2206, 1), (3162, 1), (3642, 1), (4145, 1), (7286, 1), (7295, 1), (8530, 1), (9954, 1), (14968, 1), (18334, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (24, 1), (32, 1), (58, 1), (64, 1), (90, 2), (190, 1), (193, 1), (419, 1), (428, 1), (433, 1), (434, 3), (581, 1), (754, 1), (990, 1), (1585, 1), (1587, 1), (2621, 1), (3053, 1), (4408, 1), (12046, 1)], [(19, 2), (20, 3), (21, 1), (22, 2), (23, 1), (34, 1), (37, 1), (50, 1), (53, 1), (55, 1), (58, 1), (66, 1), (77, 1), (82, 1), (186, 1), (256, 2), (328, 1), (1352, 1), (2355, 1), (4598, 1), (6281, 1), (6633, 1), (7470, 1), (10143, 1), (18335, 1)], [(8, 1), (18, 2), (20, 2), (22, 1), (25, 1), (31, 1), (45, 1), (50, 3), (53, 3), (54, 1), (69, 1), (90, 1), (193, 2), (269, 1), (632, 1), (824, 1), (922, 1), (1416, 1), (1570, 1), (2030, 1), (2163, 1), (2224, 1), (2283, 1), (2359, 1), (3986, 1), (4966, 1), (5368, 1), (5719, 1), (14325, 1), (18336, 1), (18337, 1)], [(64, 1), (117, 1), (232, 1), (328, 1), (946, 1), (2010, 1)], [(64, 1), (502, 1), (1178, 1), (1351, 1)], [(7, 1), (8, 1), (19, 2), (20, 1), (22, 1), (30, 1), (45, 3), (50, 1), (53, 1), (65, 1), (233, 1), (256, 1), (340, 1), (353, 1), (697, 1), (999, 1), (1693, 1), (1856, 1), (2543, 1), (2655, 1), (2719, 1), (2723, 1), (3064, 1), (4958, 1), (5324, 1), (6315, 1), (8337, 1)], [(8, 1), (18, 1), (19, 4), (20, 2), (22, 1), (53, 5), (58, 1), (77, 2), (97, 1), (193, 1), (215, 1), (293, 1), (317, 1), (346, 1), (355, 1), (365, 1), (414, 1), (428, 2), (448, 1), (569, 1), (680, 1), (708, 1), (914, 2), (1129, 1), (1352, 1), (3996, 1), (5040, 1), (5162, 2), (5655, 1), (8282, 1), (9162, 1), (9295, 2), (15047, 1)], [(8, 1), (18, 2), (19, 3), (20, 9), (22, 3), (25, 2), (31, 2), (37, 2), (50, 3), (53, 8), (55, 2), (58, 1), (65, 1), (71, 2), (82, 2), (90, 1), (111, 2), (117, 2), (124, 2), (174, 1), (185, 2), (186, 1), (203, 1), (214, 2), (215, 4), (222, 1), (228, 1), (232, 2), (256, 1), (285, 1), (293, 1), (301, 1), (310, 1), (328, 1), (353, 1), (365, 1), (372, 1), (428, 2), (448, 1), (488, 1), (504, 1), (680, 1), (697, 1), (709, 1), (830, 2), (884, 1), (898, 1), (899, 1), (976, 1), (1041, 1), (1160, 1), (1352, 1), (1556, 1), (1698, 1), (1877, 1), (1937, 1), (2029, 1), (2137, 1), (2466, 1), (2487, 1), (2862, 1), (3220, 1), (4251, 1), (5482, 1), (5743, 1), (5936, 1), (6165, 1), (7299, 1), (8084, 1), (8241, 1), (8273, 1), (10614, 1), (10680, 1), (12746, 1), (13900, 1), (14234, 1), (14614, 1), (18338, 1), (18339, 1), (18340, 1), (18341, 1)], [(24, 1), (64, 1), (247, 1), (14614, 1)], [(53, 1), (1178, 1), (14614, 1)], [(7, 1), (8, 1), (19, 4), (20, 2), (45, 1), (53, 2), (90, 1), (217, 1), (347, 1), (1352, 1), (1506, 1), (1731, 1), (1856, 1), (2365, 1), (2925, 1), (5622, 1), (6315, 1), (7286, 1), (7718, 1), (9274, 1), (10728, 1), (15793, 1), (18342, 1)], [(64, 1), (711, 1), (1714, 1), (1715, 1), (4251, 1)], [(8, 1), (20, 1), (25, 1), (91, 1), (777, 1), (1830, 1), (2066, 1), (4957, 1)], [(1178, 1), (6961, 1)], [(64, 1), (1178, 1), (6994, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (64, 1), (71, 1), (117, 1), (172, 1), (226, 1), (232, 1), (354, 1), (419, 1), (498, 1), (632, 1), (1102, 1), (2925, 1), (3053, 1), (6315, 1), (18343, 1)], [(19, 1), (20, 1), (22, 1), (23, 1), (25, 1), (37, 1), (53, 2), (56, 1), (71, 1), (85, 1), (90, 1), (117, 1), (247, 1), (256, 1), (414, 2), (830, 1), (1742, 1), (2854, 1), (3952, 1), (5085, 1), (5749, 1), (11591, 1), (12502, 1), (14614, 1), (17451, 1)], [(20, 1), (66, 1), (71, 1), (91, 1), (496, 1), (949, 1)], [(64, 1), (306, 1), (1178, 1), (1670, 1)], [(8, 1), (2925, 1), (7286, 1)], [(24, 1), (64, 1), (247, 1), (18344, 1)], [(53, 1), (247, 1), (18344, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (25, 1), (31, 1), (50, 1), (53, 2), (54, 1), (55, 2), (65, 4), (90, 1), (193, 1), (307, 1), (459, 1), (516, 1), (531, 1), (765, 1), (778, 1), (999, 1), (1010, 1), (1129, 2), (1248, 3), (1352, 1), (2434, 1), (2658, 1), (2849, 1), (2862, 1), (3468, 1), (4178, 1), (4721, 1), (5064, 1), (5162, 1), (5266, 1), (5682, 1), (6608, 1), (6900, 1), (7066, 1), (7564, 1), (9046, 1), (9482, 1), (18345, 1), (18346, 1), (18347, 1)], [(53, 1), (64, 1), (247, 1), (373, 1), (6594, 1)], [(58, 1), (287, 1), (498, 1), (1178, 1)], [(8, 1), (18, 2), (20, 3), (45, 2), (54, 1), (75, 1), (90, 1), (173, 1), (185, 1), (186, 1), (193, 1), (215, 2), (229, 1), (293, 1), (365, 1), (884, 1), (1041, 1), (1487, 1), (1570, 1), (2239, 1), (2925, 1), (3435, 1), (5056, 1), (7295, 1), (8475, 1), (9463, 1), (10476, 1), (11899, 1), (11958, 1)], [(58, 1), (64, 1), (1178, 1), (6594, 1)], [(20, 1), (21, 1), (22, 1), (24, 1), (25, 1), (37, 1), (45, 2), (53, 2), (123, 1), (172, 1), (173, 1), (256, 1), (261, 1), (414, 2), (434, 1), (774, 1), (1178, 1), (1198, 1), (2064, 1), (2925, 1), (3458, 1), (3921, 1), (4583, 1), (4618, 1), (6525, 1), (6608, 1), (10912, 1), (18344, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 4), (23, 1), (25, 2), (31, 3), (37, 1), (50, 2), (53, 8), (64, 2), (65, 2), (109, 1), (117, 1), (172, 1), (190, 2), (214, 1), (217, 2), (225, 2), (232, 1), (256, 1), (332, 1), (365, 1), (407, 1), (414, 1), (420, 3), (428, 1), (449, 1), (553, 1), (580, 1), (709, 1), (711, 3), (777, 1), (908, 1), (1228, 1), (1448, 1), (1580, 1), (2030, 1), (2076, 1), (2436, 1), (2440, 1), (2630, 1), (3000, 1), (3468, 1), (4117, 1), (4369, 1), (5022, 1), (5266, 1), (5419, 1), (5639, 1), (6492, 1), (6900, 1), (7358, 1), (10464, 1), (10560, 1), (10892, 1), (12483, 1), (14426, 1), (14756, 1), (18348, 2), (18349, 1), (18350, 1), (18351, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (31, 2), (33, 1), (37, 1), (50, 1), (53, 2), (54, 1), (68, 1), (90, 1), (109, 1), (185, 1), (261, 1), (269, 1), (306, 1), (323, 1), (414, 1), (450, 1), (459, 1), (516, 1), (1324, 1), (1348, 1), (1506, 1), (1520, 1), (1958, 1), (2030, 1), (2296, 1), (2336, 1), (2436, 1), (5266, 1), (7749, 1), (7943, 1), (9847, 1), (14218, 1), (18352, 1), (18353, 1), (18354, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (45, 1), (53, 4), (97, 1), (109, 1), (186, 1), (305, 1), (347, 1), (702, 1), (903, 1), (2365, 1), (2401, 1), (2409, 1), (2428, 1), (2658, 1), (3012, 1), (3506, 1), (4825, 1), (5719, 1), (8140, 1), (12181, 1), (12227, 1), (12344, 1), (18355, 1)], [(7, 2), (8, 1), (20, 2), (22, 1), (24, 1), (26, 1), (45, 2), (50, 1), (53, 1), (65, 1), (97, 1), (117, 1), (186, 1), (215, 1), (217, 1), (232, 1), (278, 1), (347, 1), (382, 1), (414, 1), (449, 1), (504, 1), (516, 1), (711, 1), (778, 1), (1222, 1), (1529, 1), (1806, 1), (2365, 1), (3423, 1), (3614, 1), (3730, 1), (5731, 1), (5913, 1), (6047, 1), (6608, 1), (6695, 1), (8103, 1), (8303, 1), (14481, 1), (18344, 1), (18346, 1), (18356, 1)], [(8, 1), (18, 1), (22, 1), (24, 1), (25, 2), (31, 1), (37, 1), (53, 2), (55, 1), (124, 1), (193, 1), (197, 1), (306, 1), (414, 1), (459, 1), (776, 1), (1159, 1), (1628, 1), (1995, 1), (2344, 1), (3734, 1), (6129, 1), (12329, 1), (18242, 1), (18353, 1), (18357, 1)], [(8, 1), (20, 3), (111, 1), (126, 1), (269, 1), (305, 1), (418, 1), (420, 1), (448, 1), (1416, 1), (1462, 1), (1764, 1), (2019, 1), (2393, 1), (7286, 1)], [(8, 1), (54, 1), (122, 1), (7295, 1)], [(20, 1), (22, 2), (23, 1), (31, 1), (32, 1), (53, 2), (54, 1), (58, 1), (64, 1), (66, 1), (82, 1), (357, 1), (596, 1), (645, 1), (922, 1), (2030, 1), (3020, 1), (3563, 1), (4841, 1), (18358, 1)], [(8, 1), (20, 3), (22, 2), (23, 2), (25, 1), (37, 1), (53, 1), (58, 1), (64, 1), (117, 1), (172, 1), (190, 1), (233, 1), (268, 1), (414, 1), (434, 1), (711, 1), (759, 1), (1165, 1), (1702, 1), (3701, 1), (4618, 1), (7216, 1), (18344, 1)], [(18, 1), (108, 1), (172, 2), (174, 1), (268, 1), (301, 1), (414, 1), (711, 2), (1308, 1), (1683, 1), (1685, 1), (1714, 1), (2402, 1), (3918, 1), (4618, 1), (4856, 1)], [(8, 2), (19, 1), (20, 1), (21, 1), (58, 1), (117, 1), (232, 1), (256, 1), (278, 1), (295, 1), (331, 1), (1170, 2), (1195, 1), (2276, 1), (7286, 1)], [(8, 1), (18, 4), (19, 1), (20, 4), (22, 2), (23, 1), (25, 1), (31, 2), (34, 1), (37, 1), (50, 1), (53, 1), (55, 1), (65, 2), (71, 1), (77, 1), (88, 1), (90, 3), (108, 2), (117, 2), (186, 1), (190, 1), (214, 1), (293, 1), (295, 1), (317, 1), (392, 1), (419, 1), (428, 1), (506, 1), (516, 1), (537, 1), (608, 1), (706, 1), (726, 1), (765, 2), (834, 1), (897, 1), (1075, 1), (1559, 1), (1764, 1), (1867, 1), (2178, 1), (2306, 1), (3533, 1), (5564, 1), (5939, 1), (6213, 2), (7012, 1), (12070, 1), (17284, 1), (18359, 1)], [(20, 1), (21, 1), (53, 1), (66, 1), (71, 1), (84, 1), (90, 1), (117, 1), (190, 1), (215, 1), (232, 1), (419, 1), (726, 1), (765, 1), (1248, 2), (1778, 1), (1824, 1), (2178, 1), (2877, 1), (4163, 1), (8713, 1)], [(8, 1), (19, 1), (50, 1), (90, 1), (117, 1), (232, 1), (428, 1), (774, 1), (1416, 1), (1557, 1), (1668, 2), (2359, 1), (2977, 1), (3363, 1), (3377, 1), (7286, 1), (7295, 1)], [(20, 1), (64, 1), (173, 1), (247, 1), (392, 1), (2925, 1), (4479, 1), (4706, 1), (18360, 1)], [(34, 1), (1178, 1)], [(8, 1), (25, 1), (31, 1), (53, 1), (55, 1), (96, 1), (124, 1), (450, 1), (459, 1), (776, 1), (903, 1), (1012, 1), (4178, 1), (6608, 1), (11018, 1), (11141, 1), (15839, 1), (18361, 1)], [(8, 1), (20, 1), (24, 1), (37, 1), (64, 1), (172, 1), (414, 1), (434, 1), (1163, 1), (1458, 1), (2925, 1), (4618, 1), (7295, 1), (18344, 1)], [(7, 2), (8, 1), (18, 4), (20, 11), (22, 1), (25, 3), (30, 1), (31, 1), (32, 1), (45, 1), (50, 3), (53, 8), (54, 1), (55, 1), (109, 3), (115, 1), (117, 1), (217, 1), (232, 1), (256, 1), (263, 1), (329, 1), (347, 1), (516, 1), (706, 1), (707, 1), (711, 1), (1071, 1), (1082, 1), (1139, 1), (1238, 1), (1324, 1), (1529, 1), (1698, 1), (1731, 1), (1965, 1), (2042, 1), (2341, 1), (2359, 1), (2581, 1), (2819, 1), (2820, 1), (3097, 1), (3533, 1), (4579, 1), (4605, 1), (4717, 1), (5142, 1), (6315, 1), (8148, 1), (8284, 1), (8453, 1), (13381, 1), (14683, 1), (14948, 1), (14979, 1), (16880, 1), (18362, 1), (18363, 1), (18364, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (31, 1), (37, 1), (53, 2), (83, 1), (111, 2), (256, 1), (261, 1), (359, 1), (450, 1), (516, 1), (1629, 1), (2064, 1), (2148, 1), (2965, 1), (3480, 1), (4973, 1), (5169, 1), (9847, 1), (12070, 1), (17323, 1), (18365, 1), (18366, 1)], [(20, 2), (64, 1), (600, 1), (1178, 1), (4390, 1), (4939, 1)], [(8, 1), (2925, 1), (6315, 1)], [(19, 1), (22, 2), (53, 3), (58, 2), (64, 1), (186, 1), (193, 1), (240, 1), (247, 1), (256, 1), (697, 1), (756, 1), (778, 1), (1670, 1), (2531, 1), (2812, 1), (3533, 1), (10515, 1)], [(20, 1), (22, 2), (23, 1), (25, 1), (58, 1), (185, 1), (247, 1), (262, 1), (285, 1), (305, 2), (328, 1), (498, 1), (506, 1), (834, 1), (999, 1), (1021, 1), (2495, 1), (2883, 1), (4532, 1), (8453, 1), (10064, 1), (13900, 1), (17133, 1)], [(66, 1), (241, 1)], [(8, 1), (20, 3), (21, 1), (22, 1), (25, 2), (31, 1), (45, 2), (50, 1), (53, 3), (55, 1), (65, 2), (75, 1), (173, 2), (220, 1), (281, 1), (307, 1), (627, 1), (970, 1), (1012, 1), (1069, 1), (1574, 1), (1656, 1), (2140, 1), (2157, 1), (2296, 1), (2318, 1), (2344, 1), (2729, 1), (2978, 1), (4143, 1), (4941, 1), (4970, 1), (5682, 1), (6608, 1), (8150, 1), (8796, 1), (14683, 1), (18347, 1), (18367, 1)], [(64, 1), (247, 1), (1583, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 1), (23, 4), (25, 1), (31, 1), (32, 2), (50, 1), (53, 2), (77, 1), (90, 2), (185, 1), (206, 1), (215, 1), (245, 2), (283, 1), (293, 1), (300, 3), (357, 2), (414, 1), (518, 1), (776, 1), (792, 1), (970, 1), (999, 1), (1057, 1), (1988, 1), (2039, 1), (2361, 1), (3034, 2), (4841, 1), (5200, 2), (5343, 2), (8286, 1), (8382, 1), (14481, 1), (17548, 1), (18368, 1)], [(8, 1), (22, 2), (25, 2), (37, 1), (71, 1), (108, 1), (117, 1), (214, 1), (256, 1), (357, 2), (461, 1), (553, 1), (795, 1), (810, 1), (1161, 1), (1911, 1), (3602, 1), (3849, 1), (6324, 1), (7869, 1), (9988, 1), (13577, 1), (17113, 1)], [(8, 1), (32, 1), (245, 1), (1165, 1), (5857, 1), (7086, 1), (14705, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (31, 1), (50, 1), (53, 1), (190, 1), (229, 1), (256, 1), (505, 1), (506, 1), (1041, 1), (1580, 1), (2344, 1), (4619, 1), (4841, 1), (8470, 1), (11745, 1), (14456, 1), (14584, 1), (18369, 1), (18370, 1), (18371, 1), (18372, 1)], [(8, 1), (18, 1), (20, 1), (50, 1), (53, 2), (226, 1), (359, 1), (2652, 1), (2774, 1), (10778, 1), (17677, 1), (18373, 1)], [(8, 1), (18, 1), (20, 2), (22, 3), (23, 3), (25, 1), (31, 1), (53, 1), (117, 2), (193, 1), (256, 1), (287, 1), (320, 1), (426, 1), (454, 1), (506, 1), (984, 2), (1159, 1), (1287, 1), (1529, 1), (1571, 1), (1824, 1), (2051, 1), (2117, 1), (3476, 1), (4858, 1), (9571, 1), (18373, 1), (18374, 1), (18375, 1), (18376, 1)], [(8, 1), (20, 1), (25, 1), (77, 2), (301, 1), (4910, 1), (5851, 1), (9988, 1), (18089, 1)], [(8, 1), (20, 3), (22, 2), (23, 1), (25, 3), (31, 2), (50, 2), (65, 1), (90, 2), (117, 1), (175, 1), (190, 1), (193, 1), (215, 1), (226, 1), (232, 1), (245, 1), (256, 1), (263, 1), (328, 1), (357, 1), (702, 1), (1080, 1), (1102, 1), (1161, 1), (1702, 1), (3206, 1), (3280, 1), (4619, 1), (4841, 2), (5552, 1), (7375, 1), (8004, 1), (8173, 1), (10342, 1), (12133, 1), (12295, 1), (13895, 1), (18377, 1), (18378, 1)], [(18, 1), (19, 1), (20, 4), (23, 1), (25, 1), (50, 2), (58, 1), (66, 1), (94, 1), (245, 1), (300, 1), (357, 2), (506, 1), (516, 1), (626, 1), (999, 2), (1583, 1), (3677, 1), (4197, 1), (4841, 1), (5200, 1), (18379, 1)], [(5, 1), (20, 4), (22, 2), (439, 2), (470, 2), (522, 1), (593, 1), (1192, 1), (6664, 1), (7709, 1), (8832, 1), (10172, 1), (10237, 1), (10387, 1), (16545, 1), (18380, 1), (18381, 1), (18382, 1), (18383, 1), (18384, 1), (18385, 1), (18386, 1), (18387, 1), (18388, 1), (18389, 1), (18390, 1), (18391, 1), (18392, 1), (18393, 1), (18394, 1), (18395, 1)], [(20, 1), (22, 1), (23, 2), (64, 1), (82, 1), (229, 1), (233, 1), (293, 1), (1714, 1), (4619, 1), (4841, 1), (8470, 1), (18371, 1)], [(8, 1), (22, 1), (23, 1), (32, 1), (54, 1), (58, 1), (109, 1), (206, 1), (506, 1), (1685, 1), (1830, 1), (1911, 1), (3043, 1), (13900, 1), (18396, 1)], [(8, 1), (22, 1), (23, 1), (252, 1), (256, 1), (581, 1), (897, 1), (8721, 1), (11314, 1), (13577, 1)], [(8, 1), (22, 1), (23, 1), (71, 1), (252, 1), (256, 1), (581, 1), (897, 1), (2381, 1), (13577, 1), (13656, 1)], [(8, 1), (20, 1), (25, 1), (50, 1), (53, 1), (65, 1), (178, 1), (206, 1), (261, 1), (1354, 1), (1755, 1), (5686, 1), (18397, 1)], [(8, 1), (23, 1), (58, 1), (82, 1), (88, 1), (285, 1)], [(8, 1), (20, 1), (22, 2), (24, 1), (25, 2), (27, 1), (65, 1), (92, 1), (112, 1), (215, 1), (220, 1), (414, 1), (448, 1), (675, 1), (1352, 1), (1580, 2), (2495, 1), (2985, 1), (3453, 1), (5054, 1), (5104, 1), (14085, 1), (14324, 1), (14325, 1), (15193, 2), (18398, 1)], [(20, 1), (247, 1), (1583, 1), (5134, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (190, 1), (245, 1), (1742, 1), (1824, 1), (2539, 1), (18399, 1)], [(20, 2), (22, 1), (23, 1), (50, 3), (71, 1), (85, 3), (242, 1), (245, 1), (247, 1), (256, 1), (357, 2), (1102, 1), (1380, 2), (2283, 2), (2365, 1), (18400, 1), (18401, 1)], [(20, 1), (22, 2), (24, 1), (34, 1), (82, 1), (111, 1), (261, 1), (430, 1), (1714, 1), (8088, 1), (14233, 1)], [(53, 1), (247, 1), (351, 1), (4159, 1), (6608, 1)], [(20, 1), (247, 1), (357, 1), (1583, 1), (5346, 1)], [(8, 1), (23, 1), (31, 1), (32, 1), (1580, 1), (1685, 1), (1918, 1), (18402, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (82, 1), (256, 1), (301, 1), (357, 1), (556, 1), (1580, 2), (2548, 1), (3034, 1), (3689, 1), (4167, 1), (5452, 1)], [(20, 1), (247, 1), (1583, 1), (6490, 1)], [(55, 1), (96, 1), (352, 1), (357, 1), (1159, 1), (1714, 1), (3181, 1)], [(8, 1), (22, 1), (77, 1), (256, 1), (351, 1), (1580, 1), (1815, 1), (3757, 1), (4386, 1), (5072, 1)], [(8, 1), (20, 2), (22, 1), (82, 2), (252, 1), (288, 1), (295, 1), (426, 1), (3052, 1), (3363, 1), (4674, 2), (4841, 1), (6573, 2), (6936, 2), (17796, 2), (18403, 1), (18404, 1)], [(8, 1), (20, 3), (23, 1), (50, 2), (82, 1), (90, 1), (97, 1), (357, 2), (506, 1), (3034, 1), (4182, 1), (5134, 1), (6573, 1), (6936, 1)], [(8, 1), (19, 1), (20, 3), (37, 2), (77, 2), (245, 1), (256, 1), (283, 1), (300, 1), (351, 1), (357, 1), (387, 1), (448, 1), (1342, 1), (2400, 1), (4841, 2), (5166, 1), (5200, 1), (9909, 1), (18405, 1), (18406, 1)], [(8, 1), (20, 2), (34, 1), (58, 1), (245, 1), (261, 1), (1005, 1), (1580, 1), (1685, 1), (4841, 1), (5197, 1), (8272, 1), (9833, 1), (11077, 1)], [(8, 1), (20, 4), (278, 1), (352, 1), (357, 3), (999, 1), (1583, 1), (1796, 1), (4229, 1), (4230, 1), (4841, 2), (5635, 1), (17800, 1), (18152, 1), (18407, 1)], [(8, 1), (20, 1), (23, 1), (55, 1), (325, 1), (1458, 1), (1580, 1), (4297, 1), (7485, 1), (8394, 1), (10855, 1)], [(247, 1), (18408, 1)], [(20, 1), (25, 1), (53, 1), (186, 1), (247, 1), (4214, 1), (5753, 1), (6666, 1)], [(22, 3), (23, 3), (55, 3), (71, 1), (245, 4), (285, 1), (1178, 1), (2883, 1), (4159, 1), (5343, 1), (5753, 1), (7881, 1), (9388, 1)], [(24, 1), (64, 1), (247, 1), (373, 1)], [(53, 1), (373, 1), (1178, 1)], [(20, 2), (51, 1), (64, 1), (193, 1), (373, 1), (645, 1), (1170, 1), (1178, 1), (2925, 1), (4841, 1), (7286, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 2), (25, 1), (31, 1), (32, 1), (33, 1), (45, 1), (50, 1), (53, 4), (58, 1), (65, 1), (90, 2), (95, 1), (109, 1), (117, 3), (193, 1), (232, 3), (256, 1), (269, 1), (293, 1), (328, 1), (347, 2), (365, 1), (373, 1), (426, 1), (708, 1), (988, 1), (999, 2), (1041, 2), (1197, 1), (1328, 1), (1830, 1), (1992, 1), (2259, 1), (2400, 1), (2795, 1), (3321, 1), (3533, 1), (4090, 1), (4304, 1), (5169, 1), (6252, 1), (6315, 1), (7029, 1), (7738, 1), (9735, 1), (10958, 1), (12079, 1), (13851, 1), (13894, 1), (16114, 1), (16345, 1), (17991, 1)], [(7, 1), (18, 1), (20, 3), (22, 1), (51, 1), (53, 2), (77, 1), (93, 1), (117, 1), (209, 1), (232, 1), (245, 1), (247, 1), (305, 1), (328, 1), (332, 2), (366, 1), (516, 1), (645, 1), (1069, 1), (1198, 1), (1689, 1), (2259, 1), (6315, 1), (7286, 1), (7397, 1), (11732, 1), (14481, 1)], [(117, 1), (247, 1), (531, 1), (1176, 1), (1488, 1), (3525, 1)], [(18, 2), (19, 1), (20, 5), (22, 1), (25, 1), (50, 1), (51, 1), (53, 1), (58, 1), (66, 1), (185, 1), (287, 1), (414, 1), (419, 1), (460, 1), (498, 1), (506, 1), (645, 1), (754, 1), (830, 1), (833, 1), (885, 1), (1296, 1), (1488, 1), (1529, 1), (3053, 1), (3469, 1), (3525, 2), (6155, 1), (8184, 1), (9192, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (21, 1), (53, 2), (54, 1), (65, 1), (82, 1), (306, 1), (752, 1), (1102, 1), (1506, 1), (1656, 1), (2456, 1), (3611, 1), (5013, 1), (5735, 1), (7286, 1), (10314, 1), (17925, 1)], [(8, 1), (18, 1), (22, 1), (37, 1), (53, 2), (117, 1), (232, 1), (286, 1), (711, 1), (903, 1), (1350, 1), (1416, 1), (1572, 1), (3020, 1), (3024, 1), (3132, 1), (4205, 1), (4962, 1), (14520, 1)], [(8, 1), (18, 2), (19, 2), (20, 2), (22, 1), (25, 1), (53, 4), (55, 1), (58, 2), (90, 1), (91, 1), (117, 1), (232, 1), (256, 1), (301, 1), (399, 1), (516, 1), (763, 1), (1352, 1), (1540, 1), (1960, 1), (2064, 1), (2259, 1), (2862, 1), (3707, 1), (4473, 1), (5266, 1), (5737, 1), (6252, 1), (6256, 1), (6315, 1), (6681, 1), (13900, 1), (15858, 1), (18409, 1), (18410, 1)], [(7, 1), (20, 3), (25, 2), (31, 1), (45, 1), (53, 2), (90, 1), (109, 1), (124, 1), (173, 1), (560, 1), (600, 1), (626, 1), (1415, 1), (1458, 1), (1702, 1), (2418, 1), (2548, 1), (2978, 1), (3389, 1), (5065, 1), (6315, 1), (10730, 1), (18411, 1), (18412, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (25, 3), (26, 1), (29, 1), (51, 1), (53, 1), (64, 1), (77, 1), (214, 1), (215, 2), (324, 1), (505, 1), (756, 1), (1460, 1), (1628, 1), (1897, 1), (2495, 1), (2849, 1), (6315, 1), (7415, 1), (10515, 1), (10560, 1), (18413, 1)], [(19, 1), (22, 2), (23, 1), (29, 1), (53, 1), (85, 1), (90, 1), (96, 1), (185, 1), (226, 1), (295, 2), (331, 1), (739, 1), (830, 1), (1170, 1), (1178, 1), (1820, 1), (2344, 1), (3034, 1), (4054, 1), (7466, 1), (9897, 1)], [(8, 1), (45, 1), (50, 1), (53, 1), (55, 1), (173, 1), (269, 1), (331, 1), (669, 1), (3533, 1), (3589, 1), (5684, 1)], [(8, 1), (18, 2), (20, 4), (22, 1), (25, 1), (30, 1), (31, 2), (50, 4), (53, 6), (58, 1), (90, 1), (108, 1), (109, 1), (117, 1), (124, 2), (193, 1), (209, 1), (228, 1), (232, 1), (246, 1), (256, 1), (289, 2), (293, 3), (448, 1), (452, 1), (497, 1), (600, 1), (742, 1), (792, 1), (834, 1), (1877, 1), (2344, 1), (2436, 1), (2655, 1), (2658, 1), (2676, 1), (2812, 1), (2934, 1), (2998, 1), (3224, 1), (5712, 1), (6315, 1), (7437, 1), (10584, 1), (10730, 1), (12139, 1), (14202, 1), (18414, 1), (18415, 1), (18416, 1)], [(1544, 1), (18417, 1)], [(8, 1), (24, 1), (50, 1), (53, 2), (3528, 1), (3604, 1), (6734, 1), (9863, 1), (10257, 1), (18418, 1)], [(8, 1), (439, 1), (466, 1), (6664, 1), (10300, 1), (18419, 1)], [(8, 1), (10217, 1), (10516, 1), (18420, 1)], [(8, 1), (20, 1), (53, 1), (65, 2), (203, 1), (310, 1), (751, 1), (752, 1), (949, 1), (1042, 1), (1435, 1), (3540, 1), (6900, 1)], [(8, 1), (24, 1), (25, 1), (53, 1), (65, 1), (77, 2), (959, 1), (1329, 1), (1350, 1), (2868, 1), (4599, 1), (6252, 1), (8425, 1)], [(20, 1), (23, 1), (58, 1), (327, 1), (946, 1), (949, 1), (12971, 1)], [(8, 1), (22, 1), (58, 1), (64, 1), (527, 1), (7313, 1), (12723, 1)], [(20, 1), (23, 2), (32, 1), (65, 1), (66, 1), (91, 1), (117, 1), (186, 1), (347, 1), (752, 1), (869, 1), (1075, 1), (2166, 1), (4214, 1), (9590, 1)], [(31, 1), (64, 1), (81, 1), (117, 1), (232, 1), (332, 1), (946, 1), (949, 1), (1167, 1), (3786, 2)], [(64, 1), (66, 1), (2013, 1)], [(8, 1), (20, 1), (24, 1), (64, 1), (214, 1), (949, 1), (2868, 1), (11617, 1)], [(23, 1), (91, 1), (946, 1), (1615, 1), (12971, 1), (18421, 1)], [(8, 1), (20, 2), (25, 1), (64, 1), (256, 1), (527, 2), (1260, 1), (3747, 1), (7313, 1), (12723, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (58, 1), (65, 1), (82, 1), (186, 1), (225, 1), (256, 1), (754, 1), (1580, 1), (1824, 1), (2766, 1), (3083, 1), (5465, 1), (8991, 1)], [(19, 1), (20, 1), (25, 2), (34, 1), (58, 1), (247, 1), (639, 1), (765, 1), (2633, 1), (6961, 1), (13784, 1)], [(8, 1), (50, 1), (53, 1), (65, 1), (108, 1), (173, 1), (448, 1), (506, 1), (3499, 1), (3512, 1), (3539, 1), (9280, 1), (9540, 1), (18422, 1)], [(65, 2), (247, 1), (310, 1), (752, 1), (1042, 1), (1580, 1), (3540, 1), (6900, 1), (9882, 1)], [(20, 1), (247, 1), (12620, 1), (18423, 1)], [(8, 1), (20, 1), (25, 1), (27, 1), (32, 1), (50, 1), (53, 1), (65, 2), (108, 1), (185, 1), (353, 1), (459, 1), (1813, 1), (2495, 1), (4530, 1), (4890, 1), (5137, 1), (5921, 1), (7479, 1), (12073, 1), (12181, 1), (18424, 1)], [(23, 1), (90, 1), (327, 1), (1714, 1), (12971, 1)], [(8, 1), (20, 1), (27, 1), (31, 1), (65, 1), (256, 1), (310, 1), (450, 1), (1342, 1), (1435, 1), (1583, 1), (3056, 1), (4117, 1), (12073, 1), (17943, 1)], [(18, 1), (247, 1), (306, 1), (328, 1), (596, 1), (18425, 1)], [(8, 1), (18, 1), (20, 1), (23, 2), (53, 1), (58, 1), (77, 1), (82, 1), (88, 1), (90, 1), (108, 1), (117, 1), (285, 1), (792, 1), (3034, 1), (3602, 1), (5251, 1), (8811, 1), (17113, 1), (18426, 1), (18427, 1)], [(20, 2), (88, 2), (1178, 1), (1583, 1), (14602, 2)], [(1544, 1), (18428, 1)], [(8, 1), (24, 1), (2633, 1), (10288, 1), (10289, 1), (18429, 1)], [(8, 1), (20, 1), (439, 1), (540, 2), (929, 1), (5902, 1), (10263, 1), (10387, 1), (18430, 1), (18431, 1), (18432, 1), (18433, 1), (18434, 1), (18435, 1), (18436, 1), (18437, 1)], [(8, 1), (20, 2), (22, 1), (32, 1), (90, 1), (96, 1), (99, 4), (190, 1), (215, 2), (256, 1), (289, 1), (291, 1), (328, 1), (428, 1), (459, 1), (506, 1), (812, 1), (830, 1), (1165, 1), (1731, 1), (3091, 1), (3097, 1), (7295, 1), (7431, 2)], [(53, 1), (58, 1), (77, 1), (99, 1), (174, 1), (233, 1), (288, 1), (331, 1), (452, 1), (605, 1), (1157, 1), (1714, 1), (2035, 1)], [(20, 2), (25, 1), (31, 1), (50, 1), (55, 1), (58, 1), (90, 2), (99, 1), (117, 1), (188, 1), (215, 1), (273, 1), (414, 1), (459, 1), (709, 2), (743, 1), (759, 1), (776, 1), (1041, 1), (1102, 1), (1462, 1), (1714, 1), (1731, 1), (1901, 1), (2031, 1), (4924, 1), (4957, 1), (5421, 1), (5422, 1), (5601, 1), (5921, 1), (6064, 1), (6315, 1), (8033, 1), (8485, 1), (11450, 1), (18085, 1)], [(20, 1), (22, 1), (32, 1), (99, 1), (117, 1), (273, 1), (293, 1), (759, 1), (946, 1), (2498, 1), (3616, 1)], [(20, 1), (23, 1), (64, 1), (792, 1), (1714, 1), (2013, 1), (2442, 1)], [(596, 1), (897, 1), (1714, 1)], [(20, 1), (23, 1), (82, 1), (90, 1), (117, 1), (605, 1), (1342, 1), (1580, 2), (1594, 1), (1596, 1), (1714, 1), (2149, 1), (3067, 1), (3069, 1), (4058, 1)], [(20, 1), (22, 1), (25, 1), (31, 1), (53, 2), (55, 1), (166, 1), (167, 1), (185, 1), (226, 1), (288, 1), (419, 1), (1462, 1), (1615, 1), (1714, 1), (1903, 1), (2432, 1), (4957, 1), (6064, 1), (8033, 1), (8485, 1), (16038, 1), (18085, 2), (18438, 1), (18439, 1), (18440, 1)], [(8, 1), (20, 3), (32, 1), (99, 2), (117, 1), (172, 1), (256, 1), (645, 1), (759, 1), (884, 1), (1172, 1), (1580, 1), (1615, 1), (1845, 1), (2332, 1), (2691, 1), (2876, 1), (18439, 1)], [(8, 1), (20, 2), (22, 2), (28, 1), (53, 1), (65, 1), (99, 1), (111, 1), (117, 1), (193, 1), (324, 1), (601, 1), (680, 1), (1865, 1), (3778, 1), (7411, 1), (9497, 1), (9720, 1), (12094, 1), (17002, 1), (18441, 1), (18442, 1)], [(20, 2), (34, 1), (53, 1), (90, 1), (99, 1), (108, 1), (117, 1), (172, 1), (206, 1), (759, 1), (897, 1), (1714, 1), (3613, 1), (4341, 1), (7926, 1), (11450, 2), (18443, 1), (18444, 1), (18445, 1)], [(8, 1), (20, 1), (214, 1), (325, 1), (7411, 1), (18446, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (53, 1), (117, 1), (295, 1), (301, 1), (387, 1), (415, 1), (1458, 1), (2084, 1), (2854, 1), (16977, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (32, 1), (50, 1), (53, 3), (88, 1), (109, 1), (226, 1), (293, 1), (324, 1), (581, 1), (708, 1), (1102, 1), (1540, 1), (3287, 1), (3528, 1), (3638, 1), (4778, 1), (5077, 1), (5391, 1)], [(7, 1), (18, 3), (20, 1), (25, 1), (31, 2), (37, 1), (53, 2), (65, 2), (90, 1), (117, 3), (161, 1), (193, 1), (232, 2), (317, 2), (596, 1), (678, 1), (688, 1), (759, 1), (1352, 2), (1590, 2), (1714, 1), (2036, 1), (2037, 1), (2541, 1), (2965, 1), (3083, 1), (5162, 2), (6931, 1)], [(19, 1), (20, 3), (34, 1), (50, 1), (53, 3), (65, 1), (77, 1), (90, 1), (99, 2), (117, 1), (268, 1), (317, 1), (581, 1), (702, 1), (706, 1), (759, 1), (763, 1), (1477, 1), (1714, 1), (1822, 1), (3613, 1), (3615, 1), (5162, 1), (6375, 1), (14558, 1)], [(20, 1), (99, 1), (214, 1), (410, 1), (596, 1), (897, 1), (1714, 1), (6769, 1)], [(8, 1), (18, 1), (20, 5), (25, 2), (31, 4), (32, 1), (37, 2), (50, 1), (53, 2), (124, 1), (178, 1), (268, 1), (269, 1), (355, 1), (434, 1), (459, 1), (518, 1), (645, 1), (709, 1), (828, 1), (833, 1), (897, 1), (982, 1), (1118, 1), (1403, 1), (1580, 1), (1756, 1), (1760, 1), (1932, 2), (4390, 1), (4698, 1), (6315, 1), (6623, 1), (8059, 1), (14614, 1)], [(8, 1), (18, 2), (20, 5), (23, 1), (25, 1), (31, 1), (45, 2), (50, 1), (53, 2), (55, 1), (56, 1), (65, 2), (99, 3), (117, 1), (172, 1), (186, 1), (197, 1), (232, 1), (285, 1), (287, 1), (410, 1), (516, 2), (645, 1), (686, 1), (1352, 1), (1582, 1), (1845, 1), (1943, 1), (2442, 1), (2464, 1), (3121, 1), (3446, 1), (3480, 1), (5162, 1), (8075, 1), (12106, 1), (18447, 1), (18448, 1), (18449, 1), (18450, 1)], [(20, 1), (71, 1), (117, 1), (295, 1), (759, 1), (1714, 1), (1845, 1), (1907, 1), (5272, 1), (7411, 1)], [(19, 1), (20, 1), (22, 1), (58, 1), (71, 1), (117, 2), (232, 1), (295, 1), (759, 1), (897, 1), (1714, 1), (1907, 1), (2126, 1), (2149, 1), (5272, 1)], [(55, 1), (66, 1), (71, 1), (161, 1), (220, 1), (531, 1), (581, 1), (645, 1), (1350, 1), (5272, 1)], [(8, 1), (20, 1), (23, 1), (64, 1), (90, 1), (117, 1), (759, 1), (1907, 1), (3034, 1), (7295, 1)], [(58, 1), (66, 1), (169, 1), (275, 1), (1964, 1), (2320, 1), (2705, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (58, 1), (64, 1), (71, 1), (90, 1), (92, 1), (117, 3), (232, 3), (420, 1), (1180, 1), (1778, 1), (2320, 1), (2666, 1), (5272, 1), (11361, 1)], [(8, 1), (23, 1), (55, 1), (185, 1), (242, 1), (331, 1), (410, 1), (2432, 1), (12223, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (53, 1), (58, 1), (328, 1), (990, 1), (1594, 1), (4778, 1), (6669, 1), (12292, 1)], [(8, 1), (19, 2), (32, 1), (71, 1), (206, 1), (214, 1), (215, 1), (310, 1), (419, 1), (459, 1), (504, 1), (506, 1), (711, 1), (812, 1), (1458, 1), (1764, 1), (2839, 1), (11617, 1), (11899, 1), (15280, 1)], [(8, 1), (18, 1), (20, 2), (30, 1), (117, 1), (206, 1), (226, 1), (232, 1), (418, 1), (516, 1), (645, 1), (675, 1), (686, 1), (1354, 1), (7411, 1), (11059, 1), (11617, 1), (18451, 1)], [(8, 1), (19, 1), (20, 1), (71, 1), (96, 1), (214, 1), (331, 1), (711, 1), (1354, 1), (1541, 1), (3269, 1), (6558, 1)], [(20, 1), (214, 1), (324, 1), (1456, 1), (1714, 1), (2734, 1), (17041, 1), (18452, 1)], [(18, 1), (20, 1), (172, 1), (247, 1), (278, 1), (596, 1), (711, 1), (1867, 1)], [(8, 1), (20, 4), (22, 1), (23, 1), (53, 1), (55, 1), (56, 1), (77, 2), (174, 1), (490, 1), (504, 1), (531, 1), (1102, 1), (1322, 2), (2202, 1), (2746, 1), (3982, 1), (4636, 1), (6367, 1), (7411, 1), (9362, 1)], [(8, 1), (20, 2), (25, 1), (90, 1), (117, 1), (310, 1), (351, 1), (419, 1), (3069, 1), (3097, 1), (3181, 1), (6495, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (53, 1), (77, 1), (237, 1), (241, 1), (405, 1), (407, 1), (414, 1), (2064, 1), (3134, 1), (3332, 1), (8032, 1)], [(20, 2), (23, 1), (85, 1), (190, 1), (273, 1), (295, 1), (1580, 1), (1714, 1), (1731, 1), (3360, 1), (9910, 1), (18453, 1)], [(8, 1), (295, 1), (16381, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (28, 1), (31, 1), (37, 1), (65, 1), (71, 1), (174, 1), (193, 1), (256, 1), (293, 1), (506, 1), (530, 1), (675, 1), (2029, 1), (3062, 1), (3918, 1), (4091, 1), (4956, 1), (6161, 1), (6179, 1), (7411, 1), (12498, 1), (18454, 1)], [(8, 1), (19, 1), (20, 2), (24, 1), (34, 1), (53, 1), (90, 1), (117, 1), (295, 1), (310, 1), (680, 1), (697, 1), (708, 1), (914, 1), (1075, 1), (4178, 1), (6509, 1), (8646, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (55, 1), (65, 2), (1080, 1), (1618, 1), (2459, 1), (2862, 1), (5908, 1), (7411, 1), (18455, 1), (18456, 1), (18457, 1), (18458, 1)], [(8, 1), (18, 2), (20, 1), (22, 2), (23, 1), (25, 2), (65, 2), (108, 1), (124, 1), (203, 1), (293, 1), (310, 1), (349, 1), (506, 1), (623, 1), (1165, 1), (2621, 1), (2885, 1), (2887, 1), (3445, 1), (9608, 1), (9922, 1)], [(247, 1), (8581, 1)], [(247, 1), (10421, 1)], [(20, 2), (22, 1), (53, 1), (71, 1), (90, 2), (109, 1), (247, 1), (293, 1), (328, 1), (345, 2), (378, 1), (702, 1), (743, 1), (1001, 1), (1580, 1), (1813, 1), (4251, 1), (4444, 1), (15231, 1)], [(18, 1), (20, 1), (66, 1), (77, 1), (106, 1), (1224, 1), (4757, 1), (18459, 1)], [(1544, 1), (18460, 1)], [(8, 1), (25, 1), (1351, 1), (2633, 1), (10289, 1), (14079, 1), (18461, 1)], [(8, 1), (65, 2), (439, 1), (1217, 1), (2633, 1), (10214, 1), (10406, 1), (18434, 1), (18437, 1), (18462, 1), (18463, 1), (18464, 1), (18465, 1), (18466, 1)], [(8, 1), (20, 2), (64, 1), (17778, 1), (18467, 2)], [(90, 1), (247, 1), (3616, 1), (5719, 1)], [(8, 1), (186, 1), (226, 1), (278, 1), (289, 1), (5719, 1), (18468, 1)], [(50, 1), (53, 1), (117, 1), (232, 1), (596, 1), (1714, 1), (5719, 1), (5788, 1)], [(8, 1), (20, 2), (17778, 1), (18467, 2)], [(8, 1), (18, 1), (22, 2), (50, 1), (117, 1), (419, 1), (434, 1), (691, 1), (751, 1), (759, 1), (1907, 1), (2482, 1), (2853, 2), (5719, 1), (17105, 2)], [(20, 2), (1178, 1), (17778, 1), (18467, 2)], [(1544, 1), (18469, 1)], [(8, 1), (24, 1), (18470, 1)], [(7, 1), (8, 1), (19, 3), (20, 2), (21, 2), (50, 1), (53, 6), (54, 1), (58, 1), (65, 1), (108, 1), (117, 1), (193, 1), (217, 2), (232, 1), (260, 1), (347, 2), (354, 1), (407, 1), (448, 1), (459, 1), (645, 1), (711, 1), (790, 1), (1041, 1), (1088, 1), (1102, 1), (1877, 1), (2064, 1), (2744, 1), (3129, 1), (3726, 1), (3822, 1), (6129, 1), (6225, 2), (6344, 1), (7192, 1), (9239, 1), (11117, 1), (11752, 1), (11964, 1), (12834, 1), (16534, 1), (18215, 1), (18471, 1), (18472, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 4), (25, 1), (31, 1), (34, 1), (53, 4), (58, 1), (77, 2), (185, 1), (193, 1), (256, 1), (268, 1), (287, 1), (359, 1), (516, 1), (709, 1), (1122, 2), (1529, 1), (1585, 1), (1746, 1), (1749, 1), (2469, 1), (4465, 1), (5368, 1), (5684, 1), (6367, 1), (17101, 1), (18473, 1)], [(8, 1), (18, 1), (19, 1), (22, 2), (50, 1), (53, 4), (54, 1), (55, 2), (58, 1), (69, 1), (77, 1), (82, 1), (90, 1), (97, 1), (117, 1), (122, 1), (193, 1), (197, 1), (232, 1), (281, 1), (347, 1), (448, 1), (581, 1), (654, 1), (711, 1), (813, 1), (1026, 1), (1446, 1), (1668, 1), (1820, 1), (3670, 1), (3737, 1), (3883, 1), (4295, 1), (5024, 1), (6129, 1), (6228, 1), (7283, 1), (10081, 1), (10718, 1), (11205, 1), (18474, 1)], [(8, 1), (19, 2), (20, 5), (21, 2), (25, 5), (50, 3), (53, 9), (65, 3), (77, 1), (90, 2), (92, 1), (97, 1), (109, 1), (214, 1), (218, 1), (269, 1), (275, 1), (289, 1), (293, 1), (337, 1), (414, 1), (415, 1), (420, 1), (459, 1), (516, 1), (531, 1), (703, 1), (757, 1), (1042, 1), (1238, 1), (1324, 1), (1462, 1), (1590, 1), (1665, 1), (1813, 1), (2066, 1), (2348, 1), (2469, 1), (2646, 1), (3540, 1), (4473, 1), (4957, 1), (5091, 1), (5921, 1), (6056, 1), (6633, 1), (7151, 1), (7286, 1), (7295, 1), (9942, 1), (10127, 1), (11030, 1), (11063, 1), (12434, 1), (14621, 1), (15347, 1), (18215, 1), (18475, 1), (18476, 1)], [(8, 1), (18, 1), (19, 2), (20, 4), (21, 2), (22, 2), (24, 1), (25, 3), (32, 1), (53, 5), (54, 3), (55, 1), (65, 3), (90, 1), (92, 1), (97, 1), (108, 1), (124, 1), (173, 1), (293, 1), (448, 1), (459, 1), (504, 1), (680, 1), (709, 1), (753, 1), (776, 1), (1056, 1), (1248, 1), (1458, 1), (1467, 1), (1590, 1), (1627, 1), (1738, 1), (2348, 1), (2772, 1), (3416, 1), (3803, 1), (4296, 1), (4957, 1), (5921, 1), (5942, 1), (6228, 1), (6545, 1), (8984, 1), (9026, 1), (11416, 1), (12704, 1), (17164, 1), (18477, 1)], [(8, 1), (19, 1), (20, 1), (50, 1), (53, 2), (173, 1), (286, 1), (347, 1), (1041, 1), (1308, 1), (1585, 1), (3557, 1), (6231, 1), (6436, 1), (7880, 1), (10562, 1)], [(20, 2), (32, 1), (53, 2), (54, 1), (173, 1), (215, 3), (247, 1), (301, 1), (707, 1), (709, 1), (1159, 1), (1450, 1), (1608, 1), (2271, 1), (3416, 1), (3827, 1), (3886, 1), (9755, 1)], [(18, 1), (247, 1), (2178, 1), (2306, 1)], [(20, 1), (22, 1), (53, 2), (247, 1), (309, 1), (377, 1), (754, 1), (903, 1), (1122, 1), (2070, 1), (2266, 1), (3053, 1), (4390, 1), (5664, 1)], [(19, 1), (20, 1), (50, 1), (53, 2), (64, 1), (247, 1), (459, 1), (460, 1), (3563, 1), (3735, 1), (7288, 1), (15107, 1), (18478, 1)], [(247, 1), (439, 1), (10431, 1), (18479, 1)], [(20, 1), (65, 2), (1178, 1), (10196, 1), (18478, 1), (18480, 1), (18481, 1), (18482, 1)], [(8, 1), (20, 1), (53, 2), (58, 1), (90, 1), (108, 1), (172, 1), (293, 2), (531, 1), (743, 1), (1013, 1), (1506, 1), (1627, 1), (3447, 1), (4733, 1), (5545, 1), (7872, 1), (9978, 1), (11438, 1), (18483, 1)], [(8, 1), (19, 3), (20, 2), (21, 2), (25, 2), (31, 1), (45, 1), (50, 4), (53, 7), (55, 1), (65, 1), (123, 1), (161, 2), (173, 1), (193, 1), (201, 1), (268, 1), (269, 1), (347, 1), (359, 1), (404, 1), (460, 1), (833, 1), (902, 1), (1665, 1), (1904, 1), (1932, 2), (2064, 1), (2348, 1), (2965, 1), (3678, 1), (4793, 1), (5257, 1), (5325, 1), (5611, 1), (5664, 1), (5978, 1), (6145, 1), (6315, 1), (6357, 1), (6364, 1), (6803, 1), (7286, 1), (14049, 1), (18484, 1), (18485, 1), (18486, 1), (18487, 1)], [(8, 1), (18, 1), (20, 1), (45, 1), (58, 1), (65, 1), (173, 1), (193, 1), (307, 1), (1416, 1), (1620, 1), (1621, 1), (2743, 1), (4581, 1), (4840, 1), (8336, 1)], [(8, 1), (18, 1), (20, 3), (21, 2), (24, 1), (25, 2), (31, 1), (50, 1), (51, 1), (53, 1), (54, 1), (55, 1), (90, 1), (117, 1), (174, 1), (185, 1), (232, 1), (269, 1), (281, 1), (627, 1), (645, 1), (697, 1), (1630, 1), (1931, 1), (1932, 1), (2184, 1), (2345, 1), (2601, 1), (3454, 1), (3536, 1), (4526, 1), (4729, 1), (4976, 1), (5266, 1), (9048, 1), (9362, 1), (9519, 1), (18488, 1), (18489, 1), (18490, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 1), (24, 1), (37, 1), (50, 2), (53, 3), (54, 1), (58, 1), (328, 1), (353, 1), (526, 1), (1102, 1), (1122, 1), (2643, 1), (3988, 1), (4689, 1), (4729, 1), (5175, 1), (8922, 1), (11243, 1), (18219, 1), (18491, 1)], [(8, 1), (20, 1), (24, 1), (31, 1), (53, 2), (215, 1), (305, 1), (459, 1), (711, 1), (1462, 1), (1501, 1), (2296, 1), (6695, 1), (7633, 1), (8033, 1), (8035, 1), (12977, 1), (18492, 1)], [(8, 1), (20, 3), (22, 2), (29, 1), (50, 1), (53, 2), (54, 1), (55, 1), (58, 1), (85, 1), (90, 2), (108, 2), (111, 1), (117, 1), (173, 2), (193, 1), (232, 1), (236, 1), (256, 2), (293, 1), (328, 1), (420, 1), (531, 2), (645, 1), (726, 1), (1041, 1), (1392, 1), (1501, 1), (1570, 2), (1644, 1), (2178, 1), (3418, 1), (3670, 1), (4733, 1), (5913, 1), (7286, 2), (7633, 1), (9425, 1), (10673, 1), (13119, 1), (18493, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (36, 1), (53, 2), (55, 1), (58, 2), (64, 2), (90, 2), (117, 1), (172, 1), (173, 2), (193, 1), (232, 1), (269, 1), (285, 1), (328, 1), (452, 1), (498, 1), (506, 3), (776, 1), (1163, 1), (1528, 1), (1902, 1), (3162, 1), (3641, 1), (3891, 1), (4599, 1), (5682, 1), (7414, 1), (15751, 1), (17871, 1)], [(8, 1), (20, 4), (23, 2), (32, 1), (90, 2), (172, 1), (228, 1), (293, 2), (323, 1), (743, 1), (1721, 1), (2719, 1), (2847, 1), (4326, 1), (5158, 1), (5733, 1)], [(1714, 1), (18494, 1)], [(8, 1), (23, 1), (34, 1), (203, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (31, 1), (53, 1), (82, 1), (90, 1), (117, 1), (232, 1), (517, 1), (1902, 1), (2178, 1), (4390, 1), (4939, 1), (8485, 1)], [(8, 1), (58, 1), (1683, 1), (3086, 1), (13050, 1), (18495, 1)], [(8, 1), (23, 1), (50, 1), (117, 1), (185, 1), (1149, 1), (2854, 1), (2958, 1)], [(8, 1), (18, 1), (19, 2), (23, 3), (30, 1), (53, 1), (117, 1), (342, 1), (702, 1), (754, 1), (1529, 1), (1867, 1), (2633, 1), (2854, 1), (3053, 1), (5547, 1), (6357, 1), (17871, 1)], [(288, 1), (301, 1), (1714, 1), (3053, 1)], [(1, 1), (4, 1), (8, 1), (25, 1), (108, 2), (117, 1), (119, 1), (983, 1), (1932, 1), (2654, 1), (3053, 1), (4598, 1), (10528, 1)], [(8, 1), (18, 1), (21, 1), (22, 2), (23, 2), (24, 1), (25, 1), (32, 1), (37, 1), (45, 1), (53, 2), (55, 1), (58, 1), (74, 1), (90, 2), (108, 1), (117, 2), (122, 1), (172, 1), (173, 3), (193, 1), (226, 1), (232, 2), (269, 2), (285, 2), (387, 1), (452, 3), (461, 1), (506, 2), (754, 1), (810, 1), (1308, 1), (1506, 1), (1867, 1), (2633, 2), (2692, 1), (2811, 1), (2883, 1), (3053, 2), (3786, 1), (4939, 1), (5682, 1), (6685, 1), (8532, 1)], [(19, 1), (45, 1), (82, 2), (161, 1), (173, 2), (190, 1), (273, 1), (327, 1), (1585, 1), (1714, 1), (7151, 1), (9929, 1)], [(45, 1), (82, 1), (173, 1), (1714, 1), (5132, 1), (6640, 1), (6794, 1), (18257, 1)], [(7, 1), (20, 1), (25, 1), (31, 1), (45, 1), (50, 1), (53, 1), (65, 1), (82, 1), (173, 1), (175, 1), (206, 1), (518, 1), (697, 1), (893, 1), (922, 1), (1714, 1), (5655, 1), (7167, 1), (7558, 1), (9353, 1), (9760, 1), (18496, 1)], [(20, 1), (25, 1), (31, 1), (65, 1), (82, 1), (90, 1), (172, 1), (173, 2), (185, 1), (268, 1), (285, 1), (452, 1), (792, 1), (1352, 1), (1714, 1), (6492, 1), (14614, 1), (18215, 1)], [(8, 1), (18, 1), (19, 4), (20, 4), (22, 1), (25, 2), (30, 2), (45, 1), (50, 1), (51, 1), (53, 1), (55, 1), (58, 1), (71, 1), (117, 1), (124, 1), (161, 1), (172, 1), (185, 3), (190, 1), (232, 1), (285, 1), (292, 1), (301, 1), (310, 1), (504, 2), (600, 1), (607, 1), (645, 1), (697, 1), (702, 2), (709, 3), (885, 1), (1580, 1), (1628, 1), (1683, 1), (1778, 1), (2916, 1), (2985, 1), (3615, 2), (3743, 1), (4326, 2), (4598, 1), (4671, 1), (6315, 1), (8477, 1), (12140, 1), (13086, 1), (16799, 1), (18497, 1)], [(8, 1), (20, 3), (21, 1), (45, 1), (71, 1), (82, 1), (90, 1), (173, 1), (185, 1), (285, 1), (459, 1), (869, 1), (897, 1), (1570, 1), (2140, 1), (3782, 1), (4808, 1)], [(247, 1), (2379, 1)], [(31, 1), (45, 1), (77, 1), (173, 1), (1714, 1), (1799, 1), (8579, 1)], [(8, 1), (20, 2), (31, 1), (117, 1), (173, 1), (232, 1), (328, 2), (1731, 1), (1778, 1), (1932, 1), (2994, 1)], [(1714, 1), (18498, 1)], [(8, 1), (20, 2), (25, 1), (256, 1), (1458, 1), (1627, 1), (1702, 1), (3723, 1), (3760, 1), (4390, 1)], [(8, 1), (20, 2), (23, 1), (51, 1), (117, 1), (245, 1), (581, 1), (645, 1), (759, 1), (897, 1), (7918, 1)], [(8, 1), (19, 1), (22, 3), (37, 1), (82, 2), (185, 1), (357, 2), (1118, 1), (6006, 1), (6324, 1), (9980, 1), (12134, 1), (18499, 1), (18500, 1)], [(8, 1), (19, 1), (20, 1), (37, 1), (77, 1), (185, 1), (229, 1), (357, 1), (4672, 1), (4841, 1), (8787, 1), (9289, 1), (18501, 1), (18502, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (37, 1), (50, 1), (53, 1), (117, 3), (172, 1), (214, 1), (273, 2), (434, 1), (600, 1), (1075, 1), (4841, 1), (4939, 1), (5470, 2), (6945, 2), (18503, 1)], [(77, 1), (268, 1), (301, 1), (328, 1), (332, 1), (415, 1), (697, 1), (1714, 1), (3786, 1), (7699, 1), (18504, 1)], [(18, 1), (19, 1), (30, 1), (71, 1), (268, 1), (697, 1), (771, 1), (1587, 1), (1683, 1), (1714, 1), (9982, 1), (10396, 1), (18505, 1)], [(247, 1), (596, 1)], [(19, 1), (45, 1), (51, 1), (109, 1), (117, 1), (185, 1), (229, 1), (232, 1), (645, 1), (672, 2), (1354, 1), (1714, 1), (3701, 1), (4619, 1), (11878, 1)], [(8, 1), (18, 1), (58, 1), (285, 1), (815, 1), (7086, 1), (7830, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 3), (25, 1), (37, 1), (55, 1), (65, 1), (71, 1), (124, 1), (173, 2), (185, 1), (260, 1), (285, 1), (310, 1), (414, 1), (459, 1), (777, 1), (833, 1), (897, 1), (1753, 1), (3274, 1), (3388, 1), (4468, 1), (4729, 1), (4926, 1), (5017, 1), (5491, 1), (11008, 1), (13055, 1), (15252, 1), (17372, 1), (18506, 1)], [(8, 1), (20, 2), (22, 2), (23, 1), (37, 1), (45, 1), (53, 2), (82, 2), (166, 2), (174, 1), (285, 1), (414, 1), (497, 1), (506, 1), (1392, 1), (1488, 1), (1668, 1), (1733, 1), (1799, 1), (2197, 1), (3810, 1), (6805, 1), (7177, 1), (7822, 1), (14855, 1), (18507, 1)], [(20, 2), (596, 1), (897, 1), (1714, 1), (7375, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (50, 1), (53, 1), (77, 1), (405, 1), (1324, 1), (1734, 1), (4281, 1), (4851, 1), (6060, 1), (7896, 1)], [(8, 1), (18, 4), (20, 9), (23, 2), (25, 5), (31, 1), (45, 1), (53, 2), (55, 1), (65, 1), (70, 1), (71, 2), (117, 2), (173, 1), (226, 1), (232, 1), (281, 1), (285, 2), (293, 1), (305, 1), (329, 1), (331, 1), (365, 1), (418, 1), (420, 1), (430, 1), (504, 1), (506, 1), (531, 1), (725, 1), (800, 1), (897, 1), (1001, 1), (1041, 1), (1176, 1), (1350, 1), (1352, 1), (1557, 1), (1683, 1), (1695, 1), (1886, 1), (2036, 1), (2299, 1), (2345, 1), (2471, 1), (2633, 2), (2862, 1), (2909, 1), (2985, 1), (3049, 1), (3694, 1), (3841, 1), (4286, 1), (4390, 1), (4939, 1), (8033, 1), (8189, 1), (9380, 1), (13086, 3), (17871, 1), (18508, 1), (18509, 1)], [(8, 1), (20, 1), (22, 1), (45, 1), (64, 1), (117, 1), (185, 2), (232, 1), (388, 1), (697, 1), (706, 1), (1549, 1), (3048, 1), (6315, 1), (7501, 1), (9362, 1)], [(19, 1), (20, 1), (25, 2), (45, 1), (126, 1), (247, 1), (830, 1), (1458, 1), (1583, 1), (2633, 1), (3641, 1), (3649, 1), (3677, 1), (7286, 1), (7715, 1), (16564, 1), (17563, 1)], [(247, 1), (1858, 1), (3786, 1), (7715, 1)], [(247, 1), (1858, 1)], [(19, 2), (20, 3), (23, 1), (26, 1), (37, 1), (51, 1), (53, 1), (55, 1), (82, 1), (96, 1), (117, 1), (185, 1), (232, 1), (245, 1), (247, 1), (301, 1), (323, 1), (361, 1), (504, 1), (581, 1), (645, 1), (830, 1), (983, 1), (1229, 1), (1506, 1), (1713, 1), (1858, 1), (2145, 1), (3786, 1), (6601, 1), (7286, 1), (7897, 1), (10208, 1)], [(20, 1), (252, 1), (332, 1), (556, 1), (1139, 1), (1714, 1), (7699, 1)], [(23, 1), (1714, 1), (12971, 1)], [(20, 1), (22, 2), (23, 1), (24, 1), (25, 3), (53, 1), (66, 1), (170, 1), (214, 1), (225, 1), (292, 1), (310, 1), (753, 1), (754, 1), (949, 1), (1042, 1), (1159, 1), (1322, 1), (1481, 1), (1683, 1), (2066, 1), (3416, 1), (10496, 1), (10532, 1), (17164, 1)], [(37, 1), (64, 1), (247, 1), (1564, 1)], [(1, 1), (4, 1), (20, 1), (23, 1), (29, 1), (193, 1), (1178, 1), (1583, 1), (2344, 1), (4841, 1), (6494, 1)], [(8, 1), (19, 1), (20, 1), (32, 1), (51, 1), (53, 3), (85, 1), (90, 1), (109, 1), (117, 2), (174, 1), (215, 1), (232, 2), (347, 1), (426, 1), (459, 1), (504, 1), (645, 1), (824, 1), (886, 1), (1799, 1), (2153, 1), (2165, 1), (2173, 1), (3679, 1), (4304, 1), (7286, 1), (9443, 1), (12188, 1)], [(8, 1), (18, 1), (20, 2), (22, 2), (24, 1), (25, 1), (31, 1), (53, 4), (55, 1), (65, 1), (109, 1), (117, 1), (173, 1), (232, 1), (256, 1), (305, 1), (516, 1), (531, 1), (725, 1), (903, 1), (983, 1), (1041, 1), (1069, 1), (1574, 1), (1656, 1), (1824, 1), (2184, 1), (2345, 1), (3798, 1), (4523, 1), (7029, 1), (7286, 1), (8035, 1), (8532, 1), (17871, 1), (18510, 1), (18511, 1), (18512, 1)], [(8, 2), (20, 3), (22, 1), (25, 2), (30, 2), (36, 1), (64, 1), (117, 1), (232, 1), (278, 1), (287, 1), (310, 1), (357, 1), (1195, 1), (1229, 1), (2145, 1), (3709, 1), (4940, 1), (7295, 1)], [(8, 1), (19, 1), (23, 1), (34, 1), (53, 1), (203, 1), (226, 1), (2064, 1)], [(19, 1), (66, 1), (96, 1), (117, 1), (252, 1), (273, 1), (3034, 1), (6945, 1)], [(1544, 1), (18513, 1)], [(8, 1), (24, 1), (18514, 1)], [(8, 1), (20, 2), (25, 1), (31, 2), (50, 1), (53, 2), (65, 2), (82, 1), (117, 2), (174, 1), (232, 1), (365, 1), (414, 1), (516, 1), (525, 1), (678, 1), (1159, 1), (1703, 1), (1824, 1), (2163, 1), (2393, 1), (2926, 1), (3479, 1), (5157, 1), (5180, 1), (5562, 1), (6129, 1), (9539, 1), (10141, 1), (10148, 1), (10817, 1), (18515, 1)], [(8, 1), (20, 2), (22, 1), (24, 1), (25, 1), (53, 2), (56, 1), (90, 1), (276, 1), (293, 1), (307, 1), (587, 1), (754, 1), (903, 1), (1010, 1), (2985, 1), (4214, 1), (5664, 1), (5921, 1), (18516, 1), (18517, 1), (18518, 1), (18519, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (31, 2), (45, 2), (46, 1), (50, 1), (53, 3), (54, 1), (263, 1), (414, 1), (1139, 1), (1308, 1), (2088, 1), (2184, 1), (2331, 1), (2365, 1), (2926, 1), (3426, 1), (3553, 1), (5269, 1), (5986, 1), (7042, 1), (12816, 1), (18520, 1)], [(8, 1), (20, 2), (25, 1), (50, 1), (215, 1), (777, 1), (1260, 1), (4225, 1), (6170, 1), (6665, 1), (7784, 1), (18521, 1), (18522, 1)], [(8, 1), (18, 1), (20, 1), (24, 1), (25, 1), (50, 1), (54, 1), (55, 1), (90, 1), (215, 1), (365, 1), (2365, 1), (3545, 1), (4165, 1), (4959, 1), (17821, 1), (18523, 1), (18524, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (22, 2), (25, 4), (45, 1), (53, 5), (55, 1), (117, 2), (173, 2), (197, 1), (220, 1), (232, 2), (288, 1), (310, 1), (420, 1), (459, 1), (531, 1), (686, 1), (709, 1), (710, 1), (726, 1), (922, 1), (1159, 1), (1219, 1), (1229, 1), (1322, 1), (1342, 1), (2184, 1), (2256, 1), (2296, 1), (2331, 2), (2406, 2), (3275, 1), (3398, 1), (3426, 2), (3432, 1), (3988, 1), (4228, 1), (5566, 1), (6161, 1), (6315, 1), (7208, 1), (9445, 1), (9831, 1), (9847, 1), (11418, 1), (12608, 1), (18525, 1), (18526, 1), (18527, 1)], [(20, 2), (64, 1), (247, 1), (709, 1), (1580, 1), (2379, 1), (2384, 1)], [(8, 1), (32, 1), (50, 1), (53, 2), (65, 1), (71, 1), (108, 1), (240, 1), (357, 1), (365, 1), (771, 1), (3426, 1), (4996, 1), (14771, 1)], [(20, 1), (247, 1), (3961, 1), (12620, 1)], [(19, 1), (20, 1), (23, 1), (37, 1), (49, 1), (53, 1), (247, 1), (295, 2), (307, 1), (842, 1), (1580, 1), (3426, 1), (4557, 1)], [(22, 1), (53, 1), (247, 1), (414, 1), (2772, 1), (5157, 1), (18528, 1), (18529, 1)], [(18, 1), (20, 1), (23, 1), (53, 1), (365, 1), (1178, 1), (2621, 1), (13888, 1)], [(7, 1), (8, 1), (20, 2), (53, 2), (54, 1), (173, 1), (236, 1), (288, 1), (301, 1), (433, 1), (448, 1), (626, 1), (709, 1), (1856, 1), (4533, 1), (5994, 1), (9777, 1), (11945, 1), (12451, 1), (18530, 1), (18531, 1)], [(8, 1), (20, 1), (53, 1), (64, 1), (65, 2), (233, 1), (949, 1), (1163, 1), (1738, 1), (4095, 1), (4943, 1), (8437, 1), (12704, 1)], [(64, 1), (252, 1), (1178, 1), (18532, 1)], [(8, 1), (30, 1), (45, 1), (55, 1), (11510, 1), (15714, 1), (16132, 1)], [(20, 1), (25, 1), (31, 1), (53, 2), (64, 1), (185, 1), (193, 1), (946, 1), (2070, 1), (2361, 1), (2926, 1), (3426, 1), (12704, 1), (18533, 1)], [(7, 1), (8, 1), (22, 2), (53, 2), (54, 1), (108, 1), (172, 1), (185, 1), (197, 2), (203, 1), (217, 1), (256, 1), (269, 1), (347, 1), (452, 1), (897, 1), (1041, 1), (1133, 1), (1628, 1), (1731, 1), (2016, 1), (2612, 1), (2816, 1), (3237, 1), (3475, 1), (6315, 1), (11230, 1), (13120, 1), (16514, 1), (18534, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 2), (45, 2), (50, 1), (53, 2), (69, 1), (108, 1), (173, 1), (269, 1), (428, 1), (697, 1), (706, 1), (774, 1), (903, 1), (1069, 1), (1350, 1), (1415, 1), (1416, 1), (1557, 1), (1746, 1), (4032, 1), (4583, 1), (6315, 1), (8517, 1), (11007, 1), (18535, 1)], [(20, 1), (25, 1), (30, 1), (247, 1), (686, 1), (2304, 1), (3886, 1), (7286, 1), (11345, 1)], [(8, 1), (20, 1), (25, 1), (53, 2), (54, 1), (215, 1), (418, 1), (1457, 1), (1746, 1), (1764, 1), (1765, 1), (5682, 1), (6129, 1), (12704, 1)], [(18, 1), (20, 2), (23, 1), (51, 1), (53, 3), (55, 1), (58, 1), (64, 1), (85, 1), (166, 1), (172, 1), (247, 1), (301, 1), (399, 1), (645, 1), (763, 1), (1506, 1), (1569, 1), (1615, 1), (2168, 1), (2270, 1), (3918, 1), (6743, 1), (10731, 1), (11223, 1)], [(8, 1), (122, 1), (225, 1), (307, 1), (5729, 1)], [(8, 2), (20, 1), (21, 1), (37, 1), (84, 1), (90, 1), (117, 2), (232, 2), (1195, 1), (1224, 1), (1746, 1), (2344, 1), (2406, 1), (5719, 1), (7286, 1)], [(18, 1), (20, 1), (23, 1), (32, 1), (50, 1), (58, 1), (66, 1), (88, 1), (252, 1), (307, 1), (352, 1), (387, 1), (744, 1), (2030, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (33, 1), (53, 1), (58, 1), (64, 1), (225, 1), (233, 1), (256, 1), (307, 1), (506, 1), (812, 1), (949, 1), (1163, 1), (1572, 1), (4939, 1), (5729, 1), (14049, 1)], [(8, 1), (19, 1), (20, 2), (31, 2), (58, 1), (71, 1), (90, 1), (124, 1), (172, 1), (185, 1), (195, 1), (203, 1), (233, 1), (269, 1), (325, 1), (355, 1), (516, 1), (833, 1), (1366, 1), (1899, 1), (3129, 1), (4300, 1), (12498, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (24, 1), (31, 2), (37, 1), (53, 2), (55, 1), (58, 1), (71, 2), (77, 2), (82, 1), (90, 1), (117, 1), (193, 1), (215, 2), (232, 1), (269, 1), (289, 1), (487, 1), (743, 1), (744, 1), (1001, 1), (1090, 1), (1748, 1), (2735, 1), (3034, 1), (3815, 1), (4674, 1), (5229, 1), (5700, 1), (6114, 1), (11018, 1), (18536, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 1), (37, 1), (50, 2), (51, 1), (53, 6), (54, 1), (90, 1), (117, 1), (124, 2), (193, 1), (215, 1), (217, 1), (225, 2), (232, 1), (268, 1), (281, 1), (293, 2), (307, 1), (310, 1), (448, 1), (488, 1), (531, 1), (827, 1), (833, 1), (988, 1), (1041, 1), (1139, 1), (1352, 1), (1477, 1), (1698, 1), (1702, 1), (1748, 1), (1751, 1), (2735, 2), (2744, 1), (3171, 1), (3582, 1), (3649, 1), (5788, 1), (6036, 1), (7151, 1), (11362, 1), (11691, 1), (14500, 1), (18537, 1), (18538, 1)], [(8, 1), (20, 4), (22, 2), (25, 1), (31, 2), (37, 1), (50, 1), (53, 8), (71, 2), (83, 1), (90, 1), (111, 1), (195, 1), (260, 1), (269, 1), (301, 1), (428, 1), (459, 1), (482, 1), (504, 1), (709, 1), (812, 1), (830, 1), (922, 1), (974, 1), (1392, 1), (1458, 1), (1746, 1), (1751, 1), (1820, 1), (2248, 1), (2735, 1), (4383, 1), (4526, 1), (5136, 1), (5195, 1), (7384, 1), (8517, 1), (17884, 1), (18539, 1), (18540, 1)], [(8, 1), (19, 1), (20, 6), (25, 2), (32, 1), (45, 2), (50, 2), (51, 1), (53, 8), (55, 1), (71, 1), (75, 1), (85, 1), (90, 1), (108, 1), (117, 1), (232, 1), (307, 1), (459, 1), (645, 1), (709, 1), (1553, 1), (1746, 1), (1749, 1), (1997, 1), (2127, 1), (2354, 1), (2467, 1), (2965, 1), (3067, 1), (3176, 1), (3305, 1), (3416, 1), (3426, 1), (3600, 1), (3661, 1), (5204, 1), (6110, 1), (8517, 1), (9481, 1), (18541, 1), (18542, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (53, 3), (108, 1), (124, 1), (186, 1), (217, 1), (269, 1), (347, 1), (428, 1), (459, 1), (460, 1), (754, 1), (776, 1), (896, 1), (1159, 2), (1308, 1), (2320, 1), (2501, 1), (3053, 1), (4282, 1), (6129, 1), (8512, 1), (9528, 1), (16934, 1)], [(8, 1), (19, 1), (20, 3), (21, 2), (22, 1), (25, 1), (31, 1), (37, 1), (45, 2), (71, 1), (173, 1), (188, 1), (229, 1), (233, 1), (256, 1), (323, 1), (448, 1), (459, 1), (527, 1), (897, 1), (903, 1), (1529, 1), (1638, 1), (1642, 1), (1643, 1), (1997, 1), (2834, 1), (3121, 1), (3132, 1), (3467, 1), (4989, 1), (7088, 1), (7286, 1), (7295, 1), (7300, 1), (7411, 1), (11845, 1), (18543, 1), (18544, 1)], [(8, 1), (20, 2), (50, 3), (53, 1), (54, 1), (91, 1), (108, 1), (209, 1), (448, 1), (450, 2), (563, 1), (600, 1), (739, 2), (833, 1), (1102, 1), (5072, 1), (6315, 1), (11937, 1), (18545, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (40, 1), (53, 1), (54, 1), (55, 1), (58, 1), (69, 1), (109, 1), (111, 1), (117, 1), (215, 1), (232, 1), (301, 1), (307, 1), (313, 1), (428, 1), (450, 1), (504, 1), (526, 1), (775, 1), (1308, 1), (1528, 1), (3560, 1), (5169, 1), (5236, 1), (5407, 1), (6315, 1), (12743, 1), (14281, 1), (18546, 1), (18547, 1)], [(8, 1), (18, 1), (31, 1), (51, 1), (53, 2), (112, 1), (286, 1), (645, 1), (1687, 1), (2064, 1), (2866, 1), (6698, 1)], [(8, 1), (19, 2), (20, 1), (45, 1), (50, 1), (53, 4), (55, 1), (65, 1), (173, 2), (301, 1), (307, 1), (347, 1), (361, 1), (726, 1), (1668, 1), (2064, 1), (2694, 1), (3860, 1), (6058, 1), (6794, 1), (7093, 1), (8442, 1), (10339, 1), (18257, 1), (18548, 1)], [(20, 1), (25, 1), (64, 1), (65, 1), (117, 1), (178, 1), (232, 1), (247, 1), (252, 1), (1001, 1), (3426, 1), (3907, 1), (5141, 1), (11140, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (53, 1), (65, 1), (172, 1), (245, 1), (285, 1), (361, 1), (506, 1), (1746, 1), (2883, 1), (4372, 1), (13311, 2)], [(8, 1), (20, 1), (241, 1), (293, 1)], [(8, 1), (53, 1), (77, 1), (301, 1), (777, 1), (1824, 1), (5153, 1), (6315, 1), (7501, 1), (18538, 1)], [(8, 2), (18, 3), (20, 1), (21, 1), (22, 1), (25, 1), (50, 1), (53, 2), (65, 2), (117, 1), (232, 1), (654, 1), (752, 1), (1195, 1), (1379, 1), (1749, 1), (3540, 1), (4638, 1), (7286, 1), (9774, 1), (9905, 1), (13636, 1)], [(1178, 1), (6961, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 5), (31, 1), (32, 1), (45, 2), (50, 3), (53, 4), (54, 1), (90, 1), (172, 1), (173, 1), (215, 1), (217, 1), (246, 1), (293, 1), (387, 1), (410, 1), (459, 1), (526, 1), (570, 1), (601, 1), (1025, 1), (1196, 1), (1449, 1), (1499, 1), (1506, 1), (1685, 1), (1746, 1), (2136, 1), (5816, 1), (9152, 1), (9481, 1), (10072, 1), (11333, 1), (11824, 1), (15521, 1), (18549, 1), (18550, 1)], [(7, 2), (8, 1), (18, 1), (19, 2), (20, 4), (25, 1), (51, 1), (53, 1), (54, 1), (71, 1), (82, 1), (90, 1), (240, 1), (387, 1), (448, 1), (645, 1), (654, 1), (777, 1), (1102, 1), (1644, 1), (1749, 1), (1903, 1), (2019, 1), (2076, 1), (4733, 1), (6545, 1), (7872, 1), (8984, 1), (10660, 1), (18542, 1), (18551, 1), (18552, 1)], [(20, 5), (22, 1), (30, 1), (45, 1), (50, 3), (51, 1), (53, 4), (64, 2), (66, 1), (85, 1), (90, 1), (94, 1), (117, 1), (161, 1), (173, 2), (185, 1), (190, 1), (215, 3), (229, 1), (232, 1), (233, 1), (256, 1), (269, 1), (281, 1), (347, 1), (487, 1), (581, 1), (600, 1), (885, 1), (988, 1), (1163, 1), (1287, 1), (1326, 1), (1430, 1), (1506, 1), (1572, 1), (1574, 1), (1580, 1), (1749, 1), (2249, 1), (2406, 1), (5719, 1), (6315, 2), (6602, 1), (6765, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (25, 1), (50, 1), (53, 1), (54, 1), (55, 1), (185, 1), (188, 1), (215, 1), (233, 1), (261, 1), (459, 1), (601, 1), (711, 1), (1761, 1), (2076, 1), (2202, 1), (3489, 1), (3523, 1), (5697, 1), (12665, 1), (18553, 1), (18554, 1), (18555, 1)], [(8, 1), (301, 1), (1324, 1), (2304, 1), (7286, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (30, 1), (50, 1), (53, 6), (58, 1), (65, 1), (109, 1), (174, 1), (237, 1), (654, 1), (706, 1), (708, 1), (897, 1), (988, 1), (1041, 1), (1068, 1), (1379, 1), (1501, 1), (1572, 1), (1867, 1), (2064, 1), (2734, 1), (3540, 1), (5162, 1), (5963, 1), (6315, 1), (6735, 1), (7466, 1), (9905, 1), (10054, 1), (12129, 1)], [(8, 1), (20, 6), (25, 1), (50, 2), (53, 6), (55, 1), (58, 1), (90, 1), (173, 1), (185, 1), (215, 1), (307, 1), (337, 1), (414, 1), (725, 1), (1160, 1), (1572, 1), (1630, 1), (1702, 1), (2091, 1), (2157, 1), (2541, 1), (2734, 1), (2735, 1), (2744, 1), (2862, 1), (3540, 1), (3726, 1), (5162, 2), (6097, 1), (7985, 1), (9905, 1), (15714, 1), (16704, 1), (18556, 1)], [(7, 1), (8, 1), (19, 3), (20, 5), (21, 2), (22, 1), (25, 2), (50, 3), (53, 8), (55, 1), (58, 1), (65, 2), (72, 1), (77, 1), (85, 1), (92, 1), (108, 1), (111, 1), (173, 1), (269, 1), (328, 1), (418, 1), (448, 1), (490, 1), (673, 1), (752, 1), (777, 1), (988, 1), (1041, 1), (1506, 1), (1749, 1), (1764, 1), (1977, 1), (2157, 1), (2290, 1), (2735, 1), (2847, 1), (3017, 1), (3055, 1), (3121, 1), (3822, 1), (5385, 1), (5496, 1), (6344, 1), (7211, 1), (8179, 1), (8517, 1), (9295, 1), (9755, 1), (11205, 1), (11411, 1), (12645, 1), (15122, 1), (18557, 1)], [(19, 1), (20, 9), (22, 1), (25, 3), (45, 1), (50, 1), (53, 3), (58, 2), (71, 1), (82, 1), (108, 2), (109, 1), (185, 1), (193, 2), (217, 1), (247, 1), (256, 1), (295, 1), (323, 1), (347, 1), (420, 1), (433, 1), (504, 1), (626, 1), (763, 1), (974, 1), (988, 1), (1041, 1), (1069, 1), (1122, 2), (1137, 1), (1569, 1), (1670, 1), (2184, 1), (2344, 1), (2348, 1), (2359, 1), (2862, 1), (3827, 1), (4795, 1), (5130, 1), (5153, 1), (5566, 1), (6315, 2), (6569, 1), (6624, 1), (7501, 1), (8517, 1), (8782, 1), (9788, 1), (10794, 1), (13803, 1), (14619, 1), (18538, 1)], [(20, 1), (24, 1), (25, 1), (58, 1), (77, 1), (90, 1), (1178, 1), (3426, 1), (9755, 1), (12704, 1), (16799, 1)], [(8, 1), (20, 2), (25, 1), (31, 1), (76, 1), (108, 1), (166, 1), (215, 1), (229, 1), (256, 1), (261, 1), (269, 1), (336, 1), (337, 2), (450, 1), (527, 1), (711, 2), (744, 1), (1324, 1), (2265, 2), (4205, 1), (4676, 1), (6147, 1), (18558, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (37, 1), (45, 2), (50, 1), (99, 1), (261, 1), (359, 1), (726, 1), (897, 1), (2548, 1), (3582, 1), (4712, 1), (6315, 1), (8399, 1), (15386, 1)], [(1544, 1), (18559, 1)], [(8, 1), (24, 1), (25, 1), (11454, 1), (18560, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (32, 1), (53, 2), (68, 1), (174, 1), (185, 1), (217, 2), (256, 1), (293, 1), (347, 2), (452, 1), (908, 1), (1239, 1), (1488, 1), (4956, 1), (5788, 1), (6129, 1), (7167, 1), (18561, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 7), (22, 1), (25, 2), (50, 2), (53, 7), (108, 1), (117, 2), (124, 1), (193, 1), (197, 1), (215, 2), (228, 1), (232, 2), (240, 1), (281, 2), (310, 1), (415, 1), (420, 1), (448, 1), (488, 1), (709, 1), (764, 1), (833, 1), (922, 1), (1080, 1), (1102, 1), (1342, 1), (1471, 1), (1613, 1), (1981, 1), (2005, 1), (2016, 1), (2184, 1), (2361, 1), (2914, 1), (3102, 1), (3416, 1), (4465, 1), (5224, 1), (5236, 1), (6231, 1), (7167, 1), (7341, 1), (8343, 1), (9263, 1), (9387, 1), (9453, 1), (12038, 1), (15174, 1), (15687, 1), (15895, 1), (17838, 1), (18562, 1), (18563, 1), (18564, 1)], [(8, 1), (53, 1), (55, 1), (122, 1), (217, 1), (347, 1), (1820, 1), (6129, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (50, 1), (53, 2), (174, 1), (337, 1), (1071, 1), (1693, 1), (1731, 1), (2457, 1), (2581, 1), (4069, 1), (7167, 1), (8919, 1), (9239, 1), (15304, 1), (18565, 1)], [(8, 1), (18, 1), (19, 1), (22, 2), (25, 2), (37, 1), (53, 1), (58, 2), (90, 1), (293, 1), (347, 3), (387, 1), (754, 1), (2432, 1), (2581, 1), (2643, 1), (3426, 1), (11905, 1), (14396, 1), (15041, 1), (18566, 1), (18567, 1), (18568, 1)], [(8, 1), (19, 1), (20, 5), (25, 3), (37, 1), (45, 3), (50, 1), (53, 3), (54, 1), (82, 1), (124, 1), (173, 2), (185, 1), (215, 1), (228, 1), (268, 1), (281, 1), (288, 1), (301, 1), (337, 1), (410, 1), (1239, 1), (1665, 1), (2630, 1), (2648, 1), (3411, 1), (4069, 1), (4791, 1), (5729, 1), (6315, 1), (6770, 1), (6845, 1), (7167, 1), (7501, 1), (8352, 1), (10668, 1), (11822, 1), (14968, 1), (18257, 1)], [(8, 1), (22, 1), (24, 1), (31, 1), (53, 1), (54, 1), (709, 1), (2070, 1), (2163, 1), (5157, 1), (5900, 1), (6623, 1), (18569, 1)], [(20, 1), (64, 1), (247, 1), (328, 1), (18187, 1)], [(53, 1), (1178, 1), (7167, 1), (18570, 1)], [(8, 1), (426, 1), (1349, 1), (2820, 1)], [(8, 1), (24, 1), (25, 1), (53, 1), (65, 1), (8146, 1), (8297, 1), (18178, 1), (18571, 1), (18572, 1)], [(20, 2), (23, 1), (50, 1), (53, 1), (64, 1), (66, 1), (117, 1), (269, 1), (295, 1), (1755, 1), (2854, 1), (4069, 1), (7341, 1)], [(8, 1), (20, 5), (32, 1), (50, 1), (53, 6), (54, 1), (55, 1), (65, 1), (69, 1), (117, 1), (232, 1), (365, 1), (414, 1), (428, 1), (433, 1), (530, 1), (632, 1), (709, 1), (710, 1), (754, 1), (1139, 1), (1329, 1), (1664, 1), (2064, 1), (2348, 1), (5632, 1), (5967, 1), (6114, 1), (6116, 1), (10140, 1), (10723, 1)], [(7, 1), (8, 1), (19, 1), (20, 5), (24, 1), (25, 1), (30, 1), (50, 2), (53, 5), (55, 1), (58, 1), (65, 1), (97, 1), (186, 1), (293, 1), (1012, 1), (1057, 1), (1122, 1), (1239, 1), (2296, 1), (2354, 1), (2541, 1), (2692, 1), (2799, 1), (4069, 1), (4544, 1), (5426, 1), (6248, 1), (6315, 1), (7167, 1), (7283, 1), (8297, 1), (8482, 1), (8919, 1), (18573, 1), (18574, 1)], [(8, 1), (18, 1), (19, 3), (20, 4), (25, 2), (30, 2), (51, 1), (53, 2), (54, 2), (65, 1), (75, 1), (111, 1), (307, 1), (323, 1), (353, 1), (420, 1), (448, 1), (458, 1), (607, 1), (886, 1), (1080, 1), (1239, 1), (1297, 1), (2296, 1), (2479, 1), (3305, 1), (4251, 1), (4787, 1), (4795, 1), (6315, 1), (8297, 1), (9508, 1), (9792, 1), (12081, 1), (14642, 1), (18575, 1)], [(20, 2), (22, 1), (23, 1), (25, 1), (58, 2), (64, 1), (66, 1), (170, 1), (172, 1), (174, 1), (185, 1), (1167, 1), (1239, 1), (1348, 1), (3545, 1), (3942, 1), (6789, 1), (7380, 1), (18576, 1)], [(8, 1), (20, 1), (51, 1), (1563, 1), (1867, 1), (5612, 1), (9878, 1)], [(20, 1), (25, 1), (172, 1), (245, 1), (711, 1), (1714, 1), (3545, 1), (6161, 1), (6789, 1), (7380, 1)], [(8, 1), (19, 1), (117, 1), (252, 1), (1470, 1), (1867, 1), (6945, 1)], [(20, 2), (22, 1), (58, 1), (66, 1), (82, 1), (245, 1), (357, 1), (505, 1), (1499, 1), (6229, 1), (8086, 1), (18577, 1)], [(8, 1), (20, 1), (23, 1), (53, 1), (64, 1), (949, 1), (1867, 1), (18574, 1)], [(8, 1), (215, 1), (301, 1), (1325, 1), (1580, 1), (1731, 1), (2490, 1)], [(18, 1), (20, 2), (50, 1), (55, 1), (66, 1), (82, 1), (117, 4), (206, 1), (323, 1), (984, 1), (1068, 1), (1176, 1), (1529, 1), (1936, 1), (2495, 1), (2854, 1), (3832, 1), (6048, 1), (7206, 1), (8270, 1), (8877, 1), (10166, 1), (12235, 1)], [(64, 1), (90, 1), (117, 1), (232, 1), (596, 1), (1714, 1)], [(8, 1), (18, 1), (22, 1), (31, 1), (32, 1), (65, 1), (117, 3), (173, 1), (232, 3), (256, 1), (278, 1), (351, 1), (1776, 1), (2346, 1), (7766, 1), (8548, 1), (8735, 1), (8960, 1), (9968, 1), (15091, 1), (18578, 1)], [(357, 1), (946, 1), (1323, 1), (5339, 1), (18065, 1)], [(20, 1), (50, 1), (53, 1), (64, 1), (66, 1), (359, 1), (884, 1), (949, 1), (4243, 1), (5358, 1), (8181, 1)], [(64, 1), (247, 1), (18579, 1)], [(7, 1), (53, 1), (56, 1), (66, 1), (90, 1), (117, 1), (252, 1), (1463, 1), (6945, 1)], [(20, 2), (23, 2), (54, 1), (64, 1), (66, 1), (82, 1), (256, 1), (328, 1), (949, 1), (3034, 1), (5339, 1)], [(20, 1), (50, 1), (53, 1), (64, 1), (359, 1), (1714, 1), (4243, 1), (5358, 1), (17041, 1)], [(8, 1), (20, 2), (53, 1), (58, 1), (117, 1), (232, 1), (415, 1), (697, 1), (2013, 1), (2178, 1)], [(7, 1), (18, 2), (20, 1), (21, 1), (22, 2), (25, 1), (31, 2), (32, 1), (50, 1), (77, 1), (96, 1), (97, 1), (109, 1), (117, 1), (232, 1), (325, 1), (645, 2), (776, 1), (1714, 1), (3421, 1), (5095, 1), (5339, 1), (5358, 3), (18580, 1)], [(53, 1), (55, 1), (247, 1), (1009, 1), (4069, 1)], [(8, 1), (20, 1), (24, 1), (37, 1), (193, 1), (893, 1), (1481, 1), (2344, 1), (2688, 1), (6649, 1), (10337, 1), (11314, 1)], [(55, 1), (58, 1), (247, 1), (1009, 1)], [(66, 1), (241, 1)], [(8, 1), (24, 1), (54, 1), (5056, 1), (7167, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (24, 1), (25, 1), (31, 1), (53, 1), (85, 1), (174, 1), (897, 1), (1239, 1), (2070, 1), (2911, 1), (4069, 1), (4909, 1), (5013, 1), (5761, 1), (6252, 1), (7043, 1), (7114, 1), (12320, 1)], [(7, 1), (8, 1), (19, 1), (20, 2), (25, 1), (50, 1), (51, 1), (53, 4), (112, 1), (359, 1), (898, 1), (990, 1), (3024, 1), (4304, 1), (5157, 1), (5913, 1), (7167, 1), (9172, 1), (9743, 1), (11007, 1), (18581, 1), (18582, 1)], [(64, 1), (1178, 1), (2320, 1), (10402, 1)], [(247, 1), (18583, 1)], [(8, 1), (22, 1), (31, 1), (53, 2), (54, 1), (170, 1), (174, 1), (269, 1), (310, 1), (1239, 1), (7167, 1), (13681, 1), (18584, 1), (18585, 1), (18586, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (32, 1), (53, 5), (64, 1), (65, 1), (365, 1), (1239, 1), (1749, 1), (2137, 1), (3221, 1), (3839, 1), (4787, 1), (5719, 1), (7167, 1), (18257, 1)], [(8, 1), (37, 1), (301, 1), (581, 1), (6315, 1), (6564, 1)], [(8, 1), (20, 2), (22, 1), (31, 1), (186, 1), (226, 1), (4069, 1), (8297, 1), (13811, 1), (18571, 1)], [(8, 1), (20, 2), (25, 1), (53, 2), (295, 1), (331, 1), (357, 1), (498, 1), (885, 1), (1170, 1), (1239, 1), (2265, 1), (3082, 1), (6564, 1), (7167, 1)], [(19, 1), (58, 1), (66, 1), (4706, 1)], [(8, 1), (19, 2), (20, 1), (22, 2), (30, 1), (32, 1), (50, 2), (53, 3), (56, 1), (64, 1), (85, 1), (117, 1), (173, 1), (232, 1), (256, 1), (351, 1), (378, 1), (506, 1), (527, 1), (675, 1), (2290, 1), (5729, 1), (12163, 1), (18587, 1)], [(20, 2), (31, 2), (247, 1), (13115, 1), (13811, 1), (18571, 1)], [(8, 1), (20, 2), (25, 2), (31, 1), (85, 1), (392, 1), (702, 1), (742, 1), (1456, 1), (2615, 1), (2716, 1), (2985, 1), (5024, 1), (5761, 1), (10148, 1)], [(20, 1), (1714, 1), (2379, 1), (8198, 1)], [(19, 1), (20, 1), (22, 1), (702, 1), (946, 1), (2912, 1), (6289, 1), (8198, 1)], [(64, 1), (1714, 1), (8198, 1)], [(283, 1), (295, 1), (1714, 1), (3633, 1), (8198, 1)], [(8, 1), (53, 1), (65, 1), (95, 1), (109, 1), (373, 1), (3366, 1), (8198, 1)], [(8, 1), (117, 1), (232, 1), (4758, 1), (8198, 1)], [(8, 1), (20, 1), (30, 1), (32, 1), (34, 1), (117, 2), (186, 1), (226, 1), (232, 1), (295, 1), (496, 1), (504, 1), (759, 1), (6775, 1), (10069, 1), (18588, 1)], [(8, 1), (22, 1), (23, 1), (117, 1), (122, 1), (173, 1), (232, 1), (414, 1), (2320, 1), (2541, 1), (3182, 1), (4894, 1)], [(20, 1), (30, 1), (247, 1), (10461, 1), (18589, 1)], [(8, 1), (22, 1), (30, 1), (31, 1), (226, 1), (268, 1), (419, 1), (708, 1), (13115, 1), (17943, 1), (18589, 1)], [(247, 1), (12620, 1)], [(8, 1), (45, 1), (117, 1), (232, 1), (328, 1), (680, 1), (1069, 1), (1731, 1), (2640, 1)], [(126, 1), (247, 1), (3784, 1)], [(18, 1), (247, 1), (3784, 1)], [(8, 1), (21, 1), (31, 1), (58, 1), (226, 1), (268, 1), (419, 1), (703, 1), (708, 1), (13115, 1), (17943, 1)], [(247, 1), (1904, 1), (6315, 1)], [(20, 1), (247, 1), (949, 2)], [(19, 1), (20, 1), (66, 1), (117, 1), (226, 1), (232, 1), (414, 1), (1363, 1), (1458, 1), (1615, 1), (2870, 1), (8198, 1)], [(7, 1), (8, 1), (20, 2), (30, 1), (53, 2), (64, 1), (357, 1), (1069, 1), (1163, 1), (1859, 1), (2925, 1), (8297, 1), (9472, 1), (10753, 1), (18590, 1)], [(53, 1), (64, 1), (65, 1), (109, 1), (1178, 1), (2064, 1), (2075, 1), (13980, 1)], [(8, 1), (20, 1), (24, 1), (40, 1), (53, 1), (64, 1), (1163, 1), (2417, 1), (5072, 1), (6284, 1), (6315, 1), (9318, 1), (18591, 1), (18592, 1)], [(64, 1), (90, 1), (109, 1), (247, 1), (708, 1), (7212, 1), (18593, 1)], [(20, 1), (54, 1), (357, 1), (1323, 1), (1714, 1), (1858, 1), (8198, 1), (11268, 1)], [(20, 2), (64, 1), (247, 1), (328, 1), (949, 1), (2070, 1), (18594, 1)], [(247, 1), (16773, 1)], [(1178, 1), (3886, 1)], [(20, 1), (64, 1), (323, 1), (331, 1), (357, 1), (556, 1), (1714, 1), (1858, 1)], [(8, 1), (23, 1), (31, 1), (34, 1), (50, 1), (53, 1), (82, 1), (261, 1), (1580, 1), (4841, 1), (9843, 1), (13819, 1), (16070, 1)], [(247, 1), (332, 1), (1583, 1)], [(18, 1), (19, 1), (71, 1), (90, 1), (92, 1), (108, 1), (247, 1), (387, 1), (645, 1), (743, 1), (4392, 1), (5360, 1), (18313, 1)], [(20, 1), (357, 1), (556, 1), (946, 1), (1858, 1), (2010, 1)], [(20, 3), (22, 2), (64, 1), (65, 2), (117, 1), (232, 1), (247, 1), (709, 1), (949, 1), (1858, 1), (6986, 1), (13672, 1), (18595, 2), (18596, 1)], [(247, 1), (8198, 1)], [(247, 1), (8198, 1)], [(247, 1), (8198, 1)], [(7, 1), (21, 2), (22, 1), (46, 1), (50, 1), (90, 1), (108, 1), (247, 1), (336, 1), (704, 1), (828, 1), (1012, 1), (2872, 1), (3942, 1), (6591, 1), (8198, 1), (10494, 1), (11998, 1), (17362, 1), (18597, 1)], [(20, 2), (247, 1), (18595, 1), (18596, 1), (18598, 1)], [(53, 1), (117, 1), (182, 1), (232, 1), (946, 1), (2010, 1), (3459, 1), (8198, 1)], [(8, 1), (53, 1), (64, 1), (65, 1), (71, 1), (268, 1), (313, 1), (351, 1), (581, 1), (767, 1), (1239, 1), (2198, 1)], [(20, 1), (247, 1), (295, 1), (314, 1), (1583, 1), (2556, 1)], [(8, 1), (226, 1), (310, 1), (1170, 1)], [(8, 1), (20, 2), (25, 1), (30, 1), (172, 1), (185, 1), (295, 1), (792, 1), (3203, 1), (3677, 1), (6517, 1), (9820, 1), (12229, 1), (18599, 1), (18600, 1)], [(8, 1), (20, 2), (22, 1), (71, 1), (117, 2), (232, 2), (292, 1), (325, 1), (1529, 1), (1571, 1), (1587, 1), (1858, 1), (4729, 1), (5308, 1), (6315, 2), (8198, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (29, 1), (50, 1), (65, 1), (252, 1), (357, 1), (506, 1), (556, 1), (1542, 1), (1580, 2), (1858, 1), (2194, 1), (2611, 1), (3386, 1), (10464, 1), (18601, 1), (18602, 1)], [(20, 1), (66, 1), (117, 1), (232, 1), (310, 1), (498, 1), (3280, 1)], [(64, 1), (117, 1), (185, 1), (232, 1), (596, 1), (1714, 1)], [(8, 1), (20, 1), (25, 1), (58, 1), (65, 1), (75, 1), (117, 2), (193, 1), (226, 1), (232, 2), (1163, 1), (3049, 1), (3072, 1), (4795, 1), (6047, 1), (6315, 1), (7396, 1), (16369, 1)], [(18, 1), (20, 3), (32, 1), (64, 1), (117, 1), (173, 1), (178, 1), (185, 1), (215, 1), (217, 1), (247, 1), (256, 1), (293, 1), (347, 2), (387, 1), (482, 1), (795, 1), (984, 1), (1499, 1), (2058, 1), (3331, 1), (8198, 1), (10166, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (65, 1), (90, 1), (106, 1), (215, 1), (506, 1), (645, 1), (675, 1), (830, 1), (949, 1), (1540, 1), (1867, 1), (1901, 1), (5360, 1), (18603, 1)], [(20, 3), (22, 1), (23, 1), (25, 1), (32, 1), (51, 1), (53, 2), (55, 1), (66, 1), (82, 1), (108, 1), (185, 1), (190, 1), (206, 1), (269, 1), (287, 1), (329, 1), (418, 1), (498, 2), (702, 1), (778, 1), (949, 1), (1354, 1), (1583, 1), (2401, 1), (17991, 1), (18604, 1)], [(8, 1), (19, 1), (20, 3), (23, 2), (64, 1), (190, 1), (214, 1), (226, 1), (245, 2), (743, 1), (833, 1), (1583, 1), (1822, 1), (1858, 1), (1911, 1), (2470, 1), (3227, 1), (3743, 1), (7914, 1)], [(8, 1), (19, 1), (20, 2), (897, 1), (1580, 1), (3280, 1), (4729, 1)], [(247, 1), (16773, 1)], [(20, 2), (25, 1), (31, 2), (37, 2), (99, 1), (247, 1), (295, 1), (645, 1), (2545, 1), (3525, 1), (3787, 1), (3886, 1), (18605, 1)], [(8, 1), (20, 3), (22, 1), (25, 3), (34, 1), (50, 3), (53, 2), (82, 1), (96, 1), (173, 1), (263, 1), (487, 1), (645, 2), (1102, 1), (1161, 1), (1747, 1), (1824, 1), (2018, 1), (2545, 1), (4167, 1), (12425, 1), (17522, 1), (18048, 1), (18606, 1), (18607, 1)], [(247, 1), (3280, 1)], [(7, 1), (20, 1), (23, 2), (75, 1), (117, 1), (232, 1), (245, 1), (262, 1), (531, 1), (833, 1), (1102, 1), (1178, 1), (2401, 1), (4841, 1), (5996, 1), (7397, 1), (9437, 1), (10851, 1)], [(8, 1), (32, 1), (51, 1), (53, 1), (64, 1), (287, 1), (351, 1), (418, 1), (1163, 1), (2417, 1), (3149, 1), (8297, 1), (18608, 1)], [(8, 1), (20, 1), (53, 1), (55, 2), (64, 1), (336, 1), (415, 1), (5712, 1), (11526, 1), (18608, 2)], [(8, 1), (20, 1), (21, 1), (37, 1), (50, 1), (53, 2), (117, 1), (226, 1), (232, 1), (278, 1), (301, 1), (1239, 1), (2862, 1), (12453, 1), (18609, 1)], [(20, 1), (58, 1), (1714, 1), (6289, 1), (18610, 1)], [(8, 1), (18, 1), (23, 1), (172, 1), (253, 1), (342, 1), (347, 1), (419, 1), (454, 1), (1239, 1), (1467, 1)], [(8, 1), (23, 1), (34, 1), (58, 1), (66, 1), (117, 1), (410, 1), (1195, 1), (2854, 1), (7295, 1)], [(1544, 1), (18611, 1)], [(8, 1), (24, 1), (65, 1), (4342, 1), (18612, 1)], [(7, 2), (8, 1), (20, 1), (22, 1), (25, 2), (32, 1), (53, 2), (65, 1), (117, 2), (232, 2), (234, 1), (340, 1), (414, 1), (433, 1), (988, 1), (1056, 1), (1159, 2), (1239, 1), (2978, 1), (6113, 1), (6129, 1), (6315, 2), (6859, 1), (7029, 1), (7167, 1), (7501, 1), (12408, 1), (13520, 1), (16011, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (22, 1), (25, 2), (37, 1), (53, 1), (92, 1), (174, 2), (206, 1), (268, 1), (293, 1), (355, 1), (435, 1), (448, 1), (487, 1), (580, 1), (744, 1), (777, 1), (903, 1), (1043, 1), (1813, 1), (1883, 1), (2270, 1), (2648, 1), (2847, 1), (4286, 1), (4652, 1), (5501, 1), (9658, 1), (9670, 1), (10745, 1), (11901, 1), (12435, 1), (14472, 1), (18613, 1), (18614, 1), (18615, 1)], [(7, 3), (8, 1), (18, 2), (19, 1), (20, 11), (21, 4), (22, 1), (25, 4), (31, 1), (37, 3), (50, 5), (53, 9), (54, 2), (58, 1), (65, 2), (90, 3), (108, 1), (109, 1), (111, 2), (117, 1), (215, 1), (232, 1), (269, 1), (293, 1), (307, 1), (338, 1), (378, 1), (388, 1), (420, 1), (448, 1), (450, 1), (459, 1), (516, 2), (707, 1), (709, 1), (711, 1), (897, 1), (1227, 1), (1350, 1), (1529, 1), (1687, 1), (2012, 1), (2168, 2), (2211, 1), (2283, 1), (2296, 1), (2343, 1), (2344, 1), (2359, 1), (2388, 1), (2858, 1), (2866, 1), (3020, 2), (3424, 1), (3791, 1), (4463, 1), (4889, 1), (5054, 1), (5068, 1), (5169, 1), (6025, 1), (6034, 1), (6623, 1), (6668, 1), (6822, 1), (7205, 1), (7411, 1), (8181, 1), (11147, 1), (13322, 1), (13559, 1), (14218, 1), (15771, 1), (15864, 1), (16010, 1), (18616, 1), (18617, 1), (18618, 1), (18619, 1), (18620, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (50, 1), (53, 2), (54, 1), (58, 1), (111, 1), (233, 1), (256, 1), (775, 1), (1164, 1), (1506, 1), (1596, 1), (2713, 1), (3560, 1), (3813, 1), (5169, 1), (18044, 1), (18621, 1)], [(8, 1), (20, 1), (21, 2), (31, 1), (37, 1), (50, 2), (53, 5), (90, 2), (365, 1), (459, 2), (600, 1), (1090, 1), (1742, 1), (1879, 1), (2030, 1), (2165, 1), (2168, 1), (2972, 1), (3710, 1), (5837, 1), (7206, 1), (8297, 1), (9003, 1), (12175, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (22, 1), (30, 1), (31, 1), (45, 1), (50, 1), (53, 1), (54, 1), (55, 1), (58, 1), (82, 2), (173, 1), (185, 1), (420, 1), (426, 1), (792, 1), (809, 1), (897, 1), (1057, 1), (2064, 1), (2276, 1), (3048, 1), (4373, 1), (5583, 1), (6315, 1), (7205, 1), (7206, 1), (7411, 1), (8464, 1), (10564, 1), (16291, 1)], [(8, 1), (20, 1), (25, 1), (36, 1), (53, 1), (1820, 1), (2202, 1), (6005, 1), (7059, 1), (18114, 1)], [(8, 1), (20, 4), (25, 3), (50, 3), (53, 3), (55, 2), (90, 2), (111, 1), (172, 1), (203, 1), (334, 1), (347, 3), (448, 2), (450, 3), (459, 1), (482, 2), (709, 2), (813, 1), (1087, 1), (1159, 1), (1732, 1), (2019, 1), (2235, 1), (2466, 1), (2693, 1), (2916, 1), (5032, 1), (6217, 1), (8181, 1), (9416, 1), (11785, 1), (12109, 1), (13361, 1), (13524, 1), (14455, 2), (18622, 2), (18623, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 2), (53, 3), (65, 1), (82, 1), (91, 1), (109, 3), (124, 1), (182, 1), (185, 1), (256, 1), (301, 1), (407, 1), (410, 1), (420, 1), (441, 1), (448, 1), (450, 2), (452, 1), (680, 1), (1122, 1), (1170, 1), (1308, 2), (1393, 1), (1481, 1), (1641, 1), (1877, 1), (2402, 1), (2693, 1), (2934, 1), (3072, 1), (4595, 1), (4608, 1), (7382, 1), (7384, 1), (9234, 1), (9402, 1), (9842, 1), (10660, 1), (12313, 1), (14455, 1), (18624, 1)], [(8, 1), (20, 2), (53, 1), (108, 1), (124, 1), (172, 1), (217, 1), (359, 1), (365, 1), (526, 1), (600, 1), (776, 1), (833, 1), (1487, 1), (2120, 1), (4400, 1), (14455, 1)], [(8, 1), (18, 1), (19, 1), (31, 1), (50, 3), (53, 3), (90, 1), (269, 1), (301, 1), (407, 1), (450, 1), (459, 1), (1506, 1), (2268, 1), (2819, 1), (2926, 1), (4383, 1), (4990, 1), (18625, 1), (18626, 1), (18627, 1)], [(8, 1), (10, 1), (18, 6), (19, 1), (20, 6), (21, 2), (22, 3), (25, 4), (31, 3), (32, 1), (45, 4), (50, 2), (53, 5), (54, 4), (55, 1), (58, 3), (65, 2), (71, 1), (77, 1), (82, 2), (90, 2), (108, 1), (109, 2), (173, 2), (174, 1), (185, 1), (186, 1), (193, 2), (215, 1), (217, 1), (256, 1), (268, 1), (275, 1), (287, 1), (306, 1), (310, 1), (317, 1), (328, 1), (347, 1), (365, 1), (420, 1), (490, 2), (645, 2), (706, 1), (711, 1), (726, 1), (778, 1), (782, 1), (830, 1), (884, 1), (1010, 1), (1350, 1), (1695, 2), (1730, 1), (1799, 1), (1806, 1), (1820, 1), (1824, 1), (1890, 1), (1993, 1), (2030, 1), (2066, 1), (2076, 1), (2348, 1), (2359, 1), (2469, 1), (2826, 1), (3020, 2), (3048, 1), (3161, 1), (3426, 1), (4840, 1), (6116, 1), (9694, 1), (10285, 1), (12765, 1), (18628, 1)], [(8, 1), (18, 3), (19, 4), (20, 6), (21, 2), (22, 2), (24, 1), (25, 3), (30, 1), (31, 1), (45, 1), (53, 5), (54, 1), (58, 4), (65, 2), (75, 1), (90, 2), (109, 1), (174, 2), (185, 1), (193, 1), (197, 1), (215, 1), (256, 2), (268, 1), (269, 1), (281, 1), (293, 1), (347, 1), (441, 1), (504, 1), (505, 1), (710, 1), (924, 1), (1041, 1), (1102, 1), (1139, 1), (1460, 1), (1498, 1), (1557, 1), (1960, 1), (2029, 1), (2320, 1), (2351, 1), (2516, 1), (2581, 1), (2680, 1), (2734, 1), (2760, 2), (2795, 1), (3426, 1), (4532, 1), (4563, 1), (5011, 1), (5796, 3), (7181, 1), (8273, 1), (10020, 1), (10583, 1), (14880, 1), (15329, 1), (15751, 1), (18140, 1), (18629, 1), (18630, 1), (18631, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (31, 1), (50, 1), (53, 6), (54, 1), (85, 1), (90, 2), (108, 1), (117, 1), (186, 1), (229, 1), (232, 1), (317, 1), (331, 1), (338, 1), (414, 1), (486, 1), (645, 2), (756, 2), (763, 1), (1170, 1), (1393, 1), (1820, 1), (2971, 1), (5054, 1), (6129, 1), (10515, 2)], [(8, 1), (20, 2), (50, 1), (53, 1), (90, 1), (193, 1), (236, 1), (301, 1), (1342, 1), (1499, 1), (1520, 1)], [(8, 1), (18, 2), (20, 5), (22, 1), (31, 2), (50, 2), (53, 2), (58, 1), (82, 2), (108, 1), (185, 1), (193, 2), (202, 1), (215, 3), (256, 1), (448, 1), (459, 1), (531, 1), (711, 2), (813, 1), (1310, 1), (2222, 1), (3667, 1), (4733, 2), (5367, 1), (9978, 1), (10864, 1), (18632, 1), (18633, 1), (18634, 1), (18635, 1)], [(8, 1), (32, 1), (50, 1), (53, 2), (90, 1), (307, 1), (347, 1), (530, 1), (711, 2), (834, 1), (1224, 1), (1644, 1), (2030, 1), (2168, 1), (2197, 1), (4226, 1), (5837, 1)], [(8, 1), (51, 1), (53, 1), (233, 1), (301, 1), (1458, 1), (2279, 1), (8297, 1)], [(7, 1), (8, 1), (18, 2), (19, 5), (20, 5), (22, 3), (24, 1), (25, 2), (31, 1), (32, 1), (34, 1), (37, 1), (45, 1), (50, 4), (53, 4), (54, 3), (55, 2), (58, 1), (65, 1), (71, 3), (90, 1), (96, 2), (117, 1), (161, 1), (166, 1), (188, 1), (215, 2), (232, 1), (256, 2), (268, 1), (420, 1), (459, 2), (482, 1), (505, 1), (526, 1), (601, 1), (709, 1), (710, 1), (711, 1), (894, 1), (903, 1), (1041, 1), (1354, 1), (1414, 1), (1488, 1), (1609, 1), (1764, 1), (2238, 1), (2667, 1), (2847, 1), (2862, 1), (3330, 1), (3391, 1), (3614, 1), (3810, 1), (3812, 1), (4299, 1), (4455, 1), (5434, 1), (5512, 1), (5583, 1), (5796, 1), (7286, 1), (7322, 1), (8002, 1), (9709, 1), (9823, 1), (11660, 1), (15329, 2), (16400, 1), (16839, 1), (18636, 1), (18637, 1), (18638, 1)], [(18, 1), (50, 1), (64, 1), (65, 1), (126, 1), (505, 1), (1178, 1), (1609, 1), (15329, 1)], [(8, 1), (20, 1), (2925, 1), (6593, 1), (7286, 1)], [(8, 1), (20, 2), (23, 1), (52, 1), (64, 1), (90, 1), (233, 1), (273, 1), (743, 1), (1163, 1), (2437, 1), (7295, 1)], [(18, 1), (20, 1), (53, 1), (58, 1), (64, 2), (66, 1), (122, 1), (190, 1), (226, 1), (233, 1), (269, 1), (581, 1), (885, 1), (1163, 1), (1966, 1), (2178, 1), (3082, 1), (7411, 1), (11781, 1), (18639, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (58, 2), (64, 1), (108, 1), (117, 1), (186, 1), (232, 1), (233, 1), (328, 1), (337, 1), (527, 1), (1163, 1), (2016, 1), (4632, 1), (6232, 1), (7286, 1), (18640, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (23, 1), (53, 1), (58, 1), (64, 1), (82, 1), (193, 1), (293, 1), (506, 1), (1170, 1), (1609, 1), (1685, 1), (1898, 1), (3082, 1), (10392, 1)], [(357, 1), (506, 1), (809, 1), (1714, 1), (6288, 1)], [(58, 1), (66, 1), (10392, 1)], [(20, 1), (23, 1), (53, 1), (64, 1), (292, 1), (310, 1), (331, 1), (946, 1), (949, 1), (6371, 1), (14203, 1)], [(8, 1), (18, 1), (45, 1), (55, 1), (75, 1), (215, 1), (673, 1), (6495, 1)], [(64, 1), (66, 1), (4939, 1)], [(20, 1), (23, 1), (53, 1), (64, 1), (292, 1), (331, 1), (946, 1), (949, 1), (18067, 1), (18641, 1)], [(8, 1), (18, 1), (45, 1), (55, 1), (65, 1), (75, 1), (215, 1), (673, 1), (2734, 1), (18642, 1)], [(64, 1), (66, 1), (4939, 1)], [(20, 1), (23, 1), (53, 1), (55, 1), (64, 1), (292, 1), (331, 1), (777, 1), (897, 1), (922, 1), (946, 1), (949, 1), (2031, 1), (2962, 1)], [(8, 1), (18, 1), (45, 1), (55, 1), (65, 1), (75, 1), (215, 1), (673, 1), (1980, 1), (2962, 1)], [(64, 1), (247, 1), (13980, 1)], [(19, 1), (96, 1), (185, 1), (245, 1), (1714, 1), (16848, 1)], [(8, 1), (18, 1), (20, 1), (25, 1), (50, 1), (53, 1), (65, 1), (124, 1), (268, 1), (505, 1), (1195, 1), (1609, 1), (2633, 1), (10396, 1), (15329, 1)], [(8, 1), (20, 2), (55, 1), (66, 1), (506, 1), (702, 1), (1195, 1), (1462, 1), (7295, 1), (7411, 1)], [(8, 1), (18, 1), (31, 1), (36, 1), (64, 1), (378, 1), (708, 1), (18643, 1)], [(8, 1), (22, 1), (24, 1), (53, 1), (173, 2), (193, 1), (581, 1), (2137, 1), (2985, 1), (7822, 1), (18644, 1)], [(8, 1), (23, 1), (117, 1), (185, 1), (346, 1), (516, 1), (759, 1), (1907, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (23, 2), (25, 2), (45, 1), (58, 2), (108, 2), (117, 1), (173, 2), (256, 1), (428, 1), (516, 1), (633, 1), (706, 1), (759, 1), (885, 2), (1904, 1), (2140, 1), (3291, 1), (3614, 1), (3638, 1), (5612, 1), (6315, 1), (18645, 1)], [(19, 1), (37, 1), (55, 1), (90, 1), (108, 1), (287, 1), (290, 1), (527, 1), (1580, 1), (1609, 1), (1714, 1), (1715, 1)], [(8, 1), (18, 1), (19, 1), (23, 1), (32, 1), (50, 1), (58, 1), (65, 1), (117, 1), (331, 1), (505, 1), (885, 1), (3073, 1), (4562, 1), (15329, 1)], [(8, 1), (19, 1), (22, 1), (28, 1), (32, 1), (51, 1), (53, 2), (117, 1), (122, 1), (232, 1), (414, 1), (415, 1), (516, 1), (531, 1), (632, 1), (842, 1), (1574, 1), (1764, 1), (4058, 1)], [(8, 1), (21, 1), (22, 2), (23, 2), (37, 1), (50, 1), (58, 3), (82, 1), (117, 4), (185, 1), (193, 1), (232, 2), (516, 2), (759, 2), (813, 1), (1580, 1), (1907, 2), (2184, 1), (2245, 1), (18646, 1), (18647, 1)], [(8, 1), (22, 1), (117, 1), (214, 1), (419, 1), (450, 1), (496, 1), (1685, 1), (18648, 1), (18649, 1), (18650, 1), (18651, 1)], [(8, 1), (18, 1), (19, 2), (20, 7), (22, 1), (23, 1), (25, 4), (31, 2), (53, 6), (65, 2), (75, 1), (77, 1), (82, 1), (88, 1), (90, 2), (117, 2), (193, 6), (232, 2), (256, 1), (420, 1), (516, 1), (531, 2), (1901, 1), (2290, 2), (2602, 1), (2672, 1), (2862, 3), (3036, 1), (3053, 1), (3056, 1), (3363, 2), (3882, 1), (5224, 1), (6155, 1), (6421, 1), (10287, 1), (12493, 1), (14695, 1), (18652, 1), (18653, 1)], [(8, 1), (19, 1), (51, 1), (53, 1), (71, 1), (117, 2), (122, 1), (232, 2), (3591, 1), (4497, 1), (5264, 1), (18646, 1), (18653, 1)], [(247, 1), (345, 1)], [(8, 1), (37, 1), (51, 1), (96, 1), (108, 1), (172, 1), (531, 1), (4189, 1), (5554, 1), (18651, 1)], [(8, 1), (18, 1), (23, 1), (50, 1), (51, 1), (55, 1), (65, 2), (323, 1), (463, 1), (531, 1), (776, 1), (1324, 1), (2235, 1), (2872, 1), (3034, 1), (3451, 1), (3611, 1), (4463, 1), (5264, 1), (8014, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 2), (31, 1), (51, 2), (53, 2), (55, 1), (58, 1), (65, 1), (90, 1), (108, 1), (117, 1), (172, 1), (232, 1), (285, 1), (331, 1), (420, 1), (428, 1), (450, 1), (506, 1), (601, 1), (608, 1), (708, 1), (711, 1), (742, 1), (771, 1), (812, 1), (892, 1), (1481, 1), (1580, 1), (2197, 1), (2466, 1), (4189, 1), (4762, 1), (5270, 2), (6306, 1), (10287, 1), (17761, 1)], [(65, 1), (247, 1), (301, 1), (3961, 1), (18654, 1)], [(8, 1), (65, 1), (193, 1), (214, 1), (256, 1), (268, 1), (328, 1), (365, 1), (2198, 1), (9147, 2)], [(8, 1), (34, 1), (496, 1), (506, 1)], [(8, 1), (20, 1), (22, 3), (25, 1), (53, 5), (55, 2), (58, 1), (65, 1), (91, 1), (117, 1), (232, 1), (310, 2), (709, 1), (710, 1), (777, 2), (922, 1), (1000, 1), (2031, 1), (2680, 1), (2962, 1), (7846, 1), (10498, 1), (14203, 1), (18067, 1), (18641, 1), (18655, 1), (18656, 1)], [(18, 1), (40, 1), (55, 1), (307, 1), (487, 1), (744, 1), (1609, 1), (1714, 1), (1838, 1), (3181, 1)], [(8, 1), (20, 3), (31, 1), (32, 1), (51, 1), (53, 2), (71, 1), (186, 1), (285, 2), (711, 1), (757, 1), (1542, 1), (1685, 1), (1698, 1), (2270, 1), (3930, 1), (10287, 1), (10660, 1)], [(8, 1), (22, 1), (23, 2), (50, 1), (117, 2), (301, 1), (353, 1), (759, 1), (1907, 1), (3073, 1), (13889, 1), (18657, 1), (18658, 1), (18659, 1)], [(18, 1), (55, 1), (247, 1), (1609, 1), (18660, 1)], [(18, 1), (55, 1), (65, 1), (247, 1), (410, 1), (4328, 1), (6900, 1), (18661, 1), (18662, 1)], [(8, 1), (301, 1), (812, 1), (1594, 1)], [(8, 1), (20, 1), (25, 2), (31, 1), (65, 2), (215, 2), (240, 1), (751, 1), (885, 1), (5807, 1), (7515, 1), (8370, 1), (10743, 1), (17517, 1), (18240, 1), (18663, 1), (18664, 1)], [(7, 3), (8, 1), (19, 1), (20, 4), (22, 1), (25, 2), (50, 1), (53, 4), (58, 2), (71, 1), (82, 1), (84, 1), (108, 1), (111, 2), (278, 1), (419, 2), (434, 1), (504, 1), (581, 1), (608, 2), (751, 1), (897, 1), (1822, 1), (2097, 1), (2149, 1), (2612, 1), (3635, 1), (4987, 1), (6912, 1), (10287, 1), (11413, 1), (18646, 1)], [(247, 1), (16970, 1)], [(8, 1), (20, 2), (23, 1), (32, 1), (53, 1), (117, 1), (1685, 1), (2854, 1), (9434, 1), (10287, 1)], [(20, 1), (21, 2), (23, 1), (31, 1), (34, 1), (37, 1), (53, 1), (117, 3), (172, 1), (228, 1), (232, 2), (288, 1), (498, 1), (506, 1), (709, 1), (772, 1), (1714, 1), (2854, 1), (2916, 1)], [(8, 1), (23, 1), (117, 1), (301, 1), (3069, 1), (6103, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (37, 1), (53, 1), (65, 2), (117, 2), (172, 1), (174, 1), (232, 1), (505, 1), (506, 1), (607, 1), (697, 1), (704, 1), (1122, 1), (1129, 1), (1248, 1), (1609, 1), (1873, 1), (2615, 1), (2854, 1), (4463, 1), (5426, 1), (6652, 1), (9371, 1)], [(18, 1), (20, 3), (37, 1), (53, 2), (71, 1), (82, 1), (108, 1), (117, 1), (182, 1), (247, 1), (269, 1), (287, 1), (310, 1), (328, 1), (452, 1), (504, 1), (607, 1), (1071, 1), (1609, 1), (1668, 1), (2157, 1), (2854, 1), (3426, 1), (3756, 1), (4078, 1), (6165, 1), (6391, 1), (7288, 1)], [(20, 3), (25, 1), (65, 3), (247, 1), (1980, 1), (2734, 1), (2962, 1), (3280, 1), (6495, 1), (6496, 1), (6497, 1), (18642, 1)], [(19, 1), (58, 1), (66, 1), (117, 1), (232, 1), (496, 1)], [(1544, 1), (18665, 1)], [(8, 1), (24, 1), (9863, 1)], [(8, 1), (20, 2), (22, 2), (65, 3), (126, 1), (439, 7), (469, 2), (470, 1), (522, 3), (540, 2), (716, 1), (1203, 1), (1530, 1), (2633, 1), (5961, 1), (6664, 1), (10131, 1), (10214, 1), (10348, 1), (10516, 1), (17723, 1), (17725, 1), (17735, 1), (18395, 1), (18666, 1), (18667, 1), (18668, 1), (18669, 1), (18670, 1), (18671, 1), (18672, 1), (18673, 1), (18674, 1), (18675, 1), (18676, 1), (18677, 1), (18678, 1), (18679, 1), (18680, 1), (18681, 1), (18682, 1), (18683, 2), (18684, 1), (18685, 1), (18686, 1), (18687, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (55, 1), (71, 1), (190, 1), (295, 1), (1458, 1), (2367, 1), (4757, 1), (7408, 1)], [(36, 1), (247, 1), (378, 1)], [(18, 1), (50, 1), (55, 1), (75, 1), (90, 1), (124, 1), (185, 1), (247, 1), (833, 1), (1118, 1), (1580, 1), (1858, 1), (2407, 1), (2633, 1), (8024, 1), (11167, 1), (18688, 1), (18689, 1), (18690, 1)], [(117, 1), (226, 1), (232, 1), (596, 1), (946, 1)], [(8, 1), (20, 1), (64, 1), (65, 1), (949, 1), (4342, 1), (15329, 1)], [(8, 2), (117, 1), (232, 1), (1195, 1), (1997, 1), (7286, 1)], [(20, 2), (247, 1), (949, 1), (1170, 1), (1583, 1)], [(53, 1), (1178, 1), (9796, 1), (12979, 1)], [(8, 1), (20, 1), (64, 1), (295, 1), (645, 1), (16381, 1)], [(19, 1), (53, 1), (66, 1), (1008, 1), (1609, 1), (1815, 1), (4985, 1), (13948, 1)], [(64, 1), (1167, 1), (1714, 1)], [(24, 1), (1714, 1), (12979, 1)], [(247, 1), (5134, 1)], [(20, 2), (58, 2), (66, 1), (241, 1), (293, 1), (949, 1), (1747, 2)], [(53, 1), (64, 1), (65, 1), (82, 1), (357, 1), (1714, 1), (3638, 1), (13636, 1), (18691, 1)], [(20, 1), (82, 1), (109, 1), (185, 1), (702, 1), (792, 1), (946, 1), (1670, 1), (4841, 1), (6684, 1), (17761, 1)], [(20, 2), (22, 1), (23, 1), (53, 1), (58, 1), (64, 1), (792, 1), (800, 1), (946, 1), (949, 2), (1747, 1), (2048, 1), (18692, 1)], [(8, 1), (64, 1), (1966, 1), (2013, 1)], [(53, 1), (82, 1), (301, 1), (357, 1), (441, 1), (556, 1), (946, 1), (18693, 1)], [(18, 1), (19, 1), (20, 1), (22, 2), (23, 1), (32, 1), (58, 1), (64, 1), (66, 1), (108, 1), (117, 1), (185, 1), (186, 1), (215, 1), (226, 1), (256, 1), (387, 1), (428, 1), (506, 1), (711, 1), (753, 1), (949, 1), (1574, 1), (1609, 1), (1901, 1), (2016, 1), (2346, 1), (3069, 1), (3614, 1), (4939, 1)], [(19, 2), (20, 7), (22, 1), (25, 2), (31, 1), (37, 1), (50, 1), (51, 1), (53, 1), (64, 1), (65, 2), (71, 1), (82, 1), (85, 1), (91, 1), (269, 1), (316, 1), (357, 1), (361, 2), (505, 1), (506, 1), (531, 1), (556, 1), (834, 1), (922, 1), (1458, 1), (1714, 1), (1766, 1), (1824, 1), (2145, 1), (2157, 1), (2247, 1), (2685, 1), (3134, 1), (4475, 1), (14077, 1), (15362, 1), (17517, 2), (18694, 1), (18695, 1), (18696, 1)], [(18, 1), (20, 1), (25, 1), (37, 1), (50, 2), (53, 1), (65, 3), (66, 1), (215, 3), (252, 1), (289, 1), (556, 1), (2545, 1), (2863, 1), (13205, 1), (16025, 1)], [(8, 1), (20, 1), (23, 1), (64, 1), (82, 1), (301, 1), (949, 1), (1685, 1), (1898, 1), (2005, 1)], [(23, 2), (66, 1), (215, 1), (1685, 2)], [(8, 1), (24, 1), (64, 1), (1458, 1), (2545, 1)], [(18, 1), (20, 1), (40, 1), (82, 1), (295, 1), (357, 1), (410, 1), (1113, 1), (1609, 1), (1714, 1), (2868, 1), (6286, 1), (8598, 1)], [(8, 1), (20, 3), (22, 1), (24, 1), (25, 1), (31, 2), (53, 3), (65, 1), (75, 1), (85, 1), (108, 1), (273, 1), (354, 1), (420, 1), (711, 1), (3548, 1), (4328, 1), (14206, 1), (16912, 1), (17301, 1), (17410, 1), (18697, 1), (18698, 1), (18699, 1), (18700, 1)], [(357, 1), (812, 1), (946, 1), (6288, 1)], [(20, 1), (64, 1), (949, 1), (1341, 1), (1714, 1)], [(23, 1), (1113, 1), (1336, 1), (1714, 1)], [(8, 1), (20, 4), (22, 1), (23, 1), (31, 1), (45, 1), (53, 2), (54, 1), (65, 1), (90, 1), (108, 1), (117, 1), (172, 1), (203, 1), (217, 1), (256, 1), (328, 1), (353, 1), (949, 2), (1583, 1), (1877, 1), (1966, 1), (2149, 1), (2197, 1), (3056, 1), (3073, 1), (4328, 1), (8004, 1), (9375, 1), (14206, 1), (17410, 1)], [(8, 1), (50, 1), (53, 1), (58, 1), (77, 1), (263, 1), (301, 1), (17053, 1), (18642, 1)], [(19, 1), (58, 1), (66, 1), (8598, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (22, 1), (25, 2), (31, 1), (37, 1), (53, 2), (64, 1), (65, 2), (77, 1), (90, 1), (96, 1), (117, 3), (185, 1), (232, 3), (328, 2), (487, 1), (1071, 1), (1363, 2), (1877, 1), (3771, 1), (4062, 1), (4939, 1), (10686, 2), (14203, 1)], [(8, 1), (18, 2), (20, 2), (26, 1), (31, 1), (53, 1), (55, 1), (58, 1), (289, 1), (331, 1), (922, 1), (1172, 1), (1609, 1), (1824, 1), (4835, 1), (17640, 1)], [(18, 1), (20, 2), (25, 1), (31, 1), (40, 1), (53, 2), (305, 1), (357, 1), (799, 1), (914, 1), (1609, 1), (1714, 1), (1764, 1), (2030, 1), (2159, 1), (3133, 1), (6297, 1), (11260, 1), (18701, 1)], [(20, 2), (23, 1), (64, 1), (117, 1), (949, 1), (1198, 1), (3069, 1), (4324, 1)], [(64, 1), (1714, 1), (4324, 1)], [(90, 1), (117, 1), (232, 1), (596, 1), (946, 1)], [(18, 1), (20, 4), (21, 1), (37, 1), (50, 1), (58, 1), (64, 1), (65, 1), (66, 1), (90, 1), (117, 2), (232, 2), (516, 1), (813, 1), (949, 2), (1308, 1), (1845, 1), (6335, 1), (10955, 1)], [(20, 1), (22, 1), (64, 1), (66, 1), (287, 1), (414, 1), (17778, 1), (18467, 1)], [(19, 1), (20, 2), (23, 1), (54, 1), (64, 1), (90, 1), (273, 1), (410, 1), (949, 1), (1198, 1)], [(18, 1), (64, 1), (65, 1), (191, 1), (357, 1), (1714, 1), (3092, 1), (18691, 1)], [(50, 1), (85, 1), (229, 1), (357, 1), (1714, 1), (4841, 1), (4950, 1), (6288, 1), (6936, 1), (17093, 1)], [(193, 1), (247, 1), (1670, 1), (4841, 1), (5306, 1)], [(247, 1), (18702, 1)], [(25, 1), (50, 1), (66, 1), (85, 1), (206, 1), (1615, 1), (1668, 1), (7122, 1)], [(8, 1), (36, 1), (64, 1), (378, 1), (4957, 1)], [(8, 1), (20, 1), (22, 1), (31, 1), (32, 1), (54, 1), (256, 1), (658, 1), (702, 1), (3425, 1), (3594, 2), (7824, 1), (10550, 1)], [(7, 1), (8, 1), (20, 2), (23, 1), (31, 1), (50, 2), (53, 4), (77, 1), (90, 1), (117, 1), (269, 1), (703, 1), (970, 1), (2030, 1), (2290, 1), (3069, 1), (4243, 1), (12646, 1), (16011, 1), (18703, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (45, 1), (50, 1), (51, 1), (278, 1), (448, 1), (506, 1), (645, 1), (813, 1), (970, 1), (2290, 1), (2745, 1), (13232, 1), (15280, 1), (16011, 1)], [(20, 1), (21, 1), (23, 1), (36, 1), (53, 1), (117, 1), (232, 1), (247, 1), (295, 1), (1487, 1), (2029, 1), (2145, 1), (2548, 1), (3425, 1), (11454, 1)], [(8, 1), (20, 1), (21, 1), (22, 1), (36, 1), (117, 1), (185, 1), (232, 1), (697, 1), (702, 1), (1695, 1), (2185, 1), (14641, 1)], [(8, 1), (287, 1), (325, 1), (419, 1), (1458, 1)], [(20, 2), (21, 1), (23, 1), (25, 1), (50, 1), (53, 2), (77, 1), (106, 1), (117, 1), (264, 1), (1178, 1), (1776, 1), (2457, 1), (3073, 1), (12385, 2), (14860, 1), (17053, 1), (18704, 1)], [(10, 1), (593, 1), (960, 1), (6664, 1), (18705, 1)], [(18, 1), (64, 1), (117, 1), (232, 1), (247, 1), (351, 1), (1668, 1)], [(18, 1), (117, 1), (232, 1), (247, 1), (351, 1), (3709, 1)], [(24, 1), (53, 1), (65, 1), (247, 1), (1559, 1), (1797, 1), (2835, 1), (4463, 1), (7206, 1), (18706, 1)], [(8, 1), (25, 1), (32, 1), (71, 1), (240, 1), (601, 1), (9443, 1), (18707, 1), (18708, 1)], [(247, 1), (4706, 1)], [(8, 1), (20, 1), (50, 1), (65, 2), (90, 1), (263, 1), (387, 1), (414, 1), (418, 1), (713, 1), (1239, 1), (2615, 1), (10315, 1), (11242, 1)], [(8, 1), (20, 1), (90, 1), (126, 1), (407, 1), (1180, 1), (5858, 1), (10352, 1)], [(65, 1), (247, 1), (18709, 1), (18710, 1)], [(117, 1), (232, 1), (241, 1), (247, 1), (645, 1), (18711, 1), (18712, 1)], [(247, 1), (1583, 1)], [(37, 1), (214, 1), (247, 1), (288, 1), (15694, 1), (18713, 1)], [(20, 1), (214, 1), (256, 1), (328, 1), (487, 1), (596, 1), (1714, 1), (3132, 1), (3506, 1), (18714, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (25, 1), (32, 1), (50, 3), (53, 3), (117, 1), (175, 1), (232, 1), (325, 1), (353, 1), (407, 1), (452, 1), (505, 1), (983, 1), (1616, 1), (2306, 1), (2912, 1), (3701, 1), (5549, 1), (5856, 1), (10984, 1), (11144, 1), (11559, 1)], [(18, 1), (50, 1), (65, 1), (126, 1), (247, 1), (505, 1), (1609, 1), (15329, 1)], [(58, 1), (287, 1), (1714, 1), (2772, 1), (9929, 1)], [(20, 2), (31, 1), (37, 1), (53, 1), (58, 1), (65, 1), (71, 1), (77, 1), (90, 1), (247, 1), (256, 1), (337, 1), (448, 1), (531, 1), (1609, 1), (1975, 1), (2540, 1), (4404, 1), (10710, 1), (15469, 1)], [(8, 1), (23, 1), (50, 1), (90, 1), (117, 1), (342, 1), (2854, 1)], [(8, 1), (268, 1), (301, 1)], [(8, 1), (19, 1), (20, 3), (23, 1), (31, 1), (50, 1), (53, 2), (90, 1), (168, 1), (170, 1), (241, 1), (242, 1), (256, 1), (269, 1), (415, 1), (506, 1), (632, 2), (675, 1), (1041, 1), (1219, 1), (1348, 1), (2276, 1), (7210, 1), (7211, 1), (8946, 1)], [(20, 2), (55, 1), (90, 1), (172, 1), (295, 1), (812, 1), (1714, 1), (3181, 1), (3709, 1), (6685, 1), (8726, 1), (17640, 1)], [(8, 1), (22, 1), (23, 2), (34, 1), (82, 1), (90, 1), (226, 1), (287, 1), (387, 1), (420, 1), (498, 1), (506, 1), (1458, 1), (1521, 1), (6364, 1)], [(20, 3), (22, 1), (23, 1), (109, 1), (117, 1), (185, 1), (245, 1), (247, 1), (346, 1), (407, 1), (419, 1), (777, 1), (897, 1), (1685, 1), (2539, 1), (2854, 1), (5816, 1), (8198, 1), (18715, 1), (18716, 1)], [(53, 1), (109, 1), (203, 1), (245, 1), (259, 1), (428, 1), (757, 1), (1178, 1), (3041, 2), (5552, 1), (18717, 1)], [(1544, 1), (18718, 1)], [(8, 1), (24, 2), (6129, 1), (15155, 1), (18719, 1)], [(8, 1), (18, 1), (20, 5), (37, 1), (53, 2), (54, 1), (55, 1), (281, 1), (310, 1), (361, 1), (600, 1), (709, 1), (829, 1), (1159, 1), (1414, 1), (2703, 1), (4551, 1), (5204, 1), (5562, 1), (6129, 1), (7151, 1), (18719, 1), (18720, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 1), (37, 2), (53, 6), (54, 1), (65, 1), (90, 1), (92, 1), (109, 1), (214, 1), (215, 2), (256, 1), (316, 1), (329, 1), (505, 1), (680, 1), (1159, 1), (1342, 1), (1415, 1), (1528, 1), (1732, 1), (2178, 1), (2340, 1), (2359, 1), (3040, 1), (4116, 1), (4616, 1), (5082, 1), (5921, 1), (6129, 1), (6165, 1), (6281, 1), (10607, 1), (11313, 1), (12368, 1), (18721, 1), (18722, 1)], [(8, 1), (22, 1), (51, 1), (53, 1), (64, 1), (1163, 1), (1322, 1), (2417, 1), (2933, 2), (2954, 1), (8297, 1), (13171, 1), (18315, 1)], [(8, 1), (19, 1), (20, 4), (22, 1), (31, 1), (45, 1), (54, 1), (55, 1), (117, 1), (166, 1), (173, 1), (186, 1), (232, 1), (301, 1), (323, 1), (373, 1), (382, 1), (824, 1), (1159, 1), (2030, 1), (2270, 2), (2296, 1), (5611, 1), (6315, 1), (9620, 1), (9738, 1), (10663, 1)], [(53, 1), (64, 1), (182, 1), (756, 1), (946, 1), (6297, 1), (10515, 1)], [(8, 1), (20, 1), (64, 1), (4372, 1), (4939, 1)], [(18, 1), (65, 1), (95, 1), (182, 1), (295, 1), (373, 1), (946, 1), (6316, 1), (15347, 1)], [(8, 1), (20, 4), (22, 1), (25, 1), (45, 2), (53, 2), (54, 1), (117, 1), (172, 1), (182, 1), (185, 1), (232, 1), (285, 1), (420, 1), (488, 1), (632, 1), (697, 1), (897, 1), (1013, 1), (1159, 1), (1169, 1), (1325, 1), (1377, 1), (1498, 1), (2883, 1), (3040, 2), (3247, 1), (3912, 1), (3993, 1), (4145, 1), (6315, 1), (9894, 1), (18723, 1), (18724, 1)], [(8, 1), (19, 1), (20, 2), (25, 2), (45, 1), (53, 2), (65, 2), (117, 1), (126, 1), (173, 1), (232, 1), (373, 1), (1042, 1), (1520, 1), (1627, 1), (1705, 1), (1992, 1), (2064, 1), (3590, 1), (5482, 1), (6129, 1), (8724, 1), (18725, 1)], [(7, 1), (8, 1), (18, 1), (54, 1), (108, 1), (173, 2), (1644, 1), (5874, 1), (6315, 1), (9025, 1), (12851, 1)], [(8, 1), (54, 1), (268, 1), (301, 1), (12519, 1), (16104, 1), (18554, 1)], [(54, 1), (64, 1), (82, 2), (173, 1), (461, 2), (1178, 1), (1323, 1), (1683, 1), (3786, 1)], [(8, 1), (20, 1), (2925, 1), (3739, 1), (6284, 1), (6315, 1)], [(54, 1), (58, 1), (64, 1), (946, 1), (1347, 1)], [(1, 1), (4, 1), (8, 1), (18, 2), (19, 2), (20, 5), (21, 2), (22, 2), (25, 2), (31, 2), (50, 5), (53, 7), (55, 1), (82, 1), (85, 1), (90, 1), (91, 1), (97, 1), (109, 1), (111, 1), (117, 1), (122, 1), (186, 1), (187, 1), (217, 1), (232, 1), (269, 1), (347, 3), (361, 1), (373, 1), (404, 1), (414, 1), (448, 1), (452, 1), (459, 2), (680, 1), (706, 1), (709, 1), (711, 1), (778, 1), (891, 1), (903, 1), (913, 1), (1238, 1), (1240, 1), (1248, 1), (1282, 1), (1339, 1), (1348, 1), (1529, 2), (1667, 1), (1824, 1), (1856, 1), (2253, 2), (2732, 1), (2789, 1), (2872, 1), (2983, 1), (3040, 1), (4437, 1), (5001, 1), (5013, 1), (6281, 1), (6633, 1), (9172, 1), (9354, 1), (11983, 1), (12227, 1), (12725, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (21, 3), (31, 1), (37, 1), (50, 1), (53, 4), (58, 1), (65, 1), (166, 1), (172, 1), (185, 1), (193, 2), (202, 1), (215, 2), (240, 1), (307, 1), (317, 1), (373, 1), (410, 1), (645, 1), (706, 1), (752, 1), (754, 1), (903, 1), (1992, 1), (2005, 1), (2145, 1), (3359, 1), (3549, 1), (10497, 1), (11983, 1), (13668, 1), (18726, 1)], [(8, 1), (18, 1), (20, 1), (22, 3), (25, 2), (45, 1), (50, 1), (53, 3), (54, 1), (55, 1), (58, 1), (90, 2), (95, 1), (124, 1), (172, 1), (173, 1), (203, 1), (215, 1), (337, 1), (359, 1), (373, 1), (527, 1), (680, 1), (726, 1), (742, 1), (778, 1), (897, 1), (1245, 1), (1324, 1), (2456, 1), (2789, 1), (3037, 1), (3415, 1), (3756, 1), (4086, 1), (6688, 1), (9104, 1), (10685, 1), (12756, 1), (14185, 1), (18727, 1)], [(8, 1), (20, 2), (54, 1), (215, 1), (256, 1), (268, 1), (351, 1), (448, 1), (1824, 1), (4764, 1), (6847, 1), (10731, 1)], [(8, 1), (19, 5), (20, 3), (21, 2), (22, 2), (24, 1), (25, 1), (31, 3), (50, 1), (53, 5), (58, 1), (82, 1), (90, 1), (108, 1), (109, 1), (186, 1), (217, 1), (256, 1), (269, 1), (347, 1), (373, 1), (414, 1), (426, 1), (459, 1), (707, 1), (709, 1), (725, 1), (740, 1), (913, 1), (1041, 1), (1057, 1), (1159, 2), (1245, 1), (1248, 1), (1308, 1), (1342, 1), (1348, 1), (1598, 1), (1698, 1), (1764, 1), (2141, 1), (2270, 1), (2283, 1), (2646, 1), (2686, 1), (3810, 1), (4383, 1), (5825, 1), (6281, 1), (7022, 1), (8117, 1), (11983, 1), (13133, 1), (14411, 1), (16054, 1)], [(8, 1), (18, 2), (20, 1), (21, 2), (22, 2), (25, 1), (31, 1), (37, 1), (50, 1), (53, 3), (65, 2), (85, 1), (108, 1), (193, 1), (197, 1), (301, 1), (306, 1), (337, 1), (373, 1), (414, 2), (415, 1), (645, 1), (752, 1), (815, 1), (827, 1), (999, 1), (1159, 2), (1170, 1), (1322, 1), (1506, 1), (2344, 1), (2656, 1), (3214, 1), (3482, 1), (4758, 1), (5953, 1), (12376, 2), (12882, 1), (16947, 1), (18170, 1)], [(8, 1), (18, 1), (19, 3), (20, 2), (22, 5), (25, 3), (37, 1), (50, 2), (53, 4), (82, 2), (182, 2), (202, 1), (217, 1), (301, 1), (347, 4), (414, 1), (420, 2), (897, 1), (913, 2), (1057, 1), (1102, 3), (1159, 3), (1245, 1), (1255, 1), (1322, 3), (1458, 2), (1762, 1), (1820, 2), (1824, 1), (2005, 1), (2184, 1), (2228, 1), (2230, 1), (2344, 1), (3079, 1), (3149, 1), (3469, 1), (3646, 1), (4032, 1), (4074, 1), (4581, 2), (4758, 1), (4958, 1), (5743, 1), (6794, 1), (7463, 1), (9172, 1), (9453, 1), (9823, 1), (9896, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (31, 1), (45, 1), (53, 2), (123, 1), (414, 1), (772, 1), (1449, 1), (1884, 1), (1904, 1), (2348, 1), (3040, 1), (5595, 1), (6129, 1), (7921, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (31, 1), (36, 1), (45, 1), (53, 2), (55, 1), (58, 1), (90, 1), (111, 1), (215, 1), (229, 1), (293, 1), (365, 1), (404, 1), (414, 1), (448, 1), (459, 1), (709, 1), (777, 1), (1240, 1), (1743, 1), (2615, 1), (2702, 1), (2823, 1), (2872, 1), (3300, 1), (4228, 1), (4738, 1), (6358, 1), (6623, 1), (9693, 1)], [(8, 1), (19, 2), (20, 2), (21, 1), (22, 1), (23, 1), (28, 1), (31, 1), (32, 1), (45, 1), (58, 1), (64, 2), (90, 3), (117, 2), (173, 1), (190, 1), (232, 2), (269, 1), (293, 1), (373, 1), (448, 1), (454, 1), (626, 1), (708, 1), (1163, 1), (1615, 1), (1901, 1), (1904, 1), (2280, 1), (2343, 1), (2780, 1), (2900, 1), (4758, 1), (5525, 1), (7072, 1), (7295, 1), (7411, 1), (14516, 1)], [(31, 1), (40, 1), (50, 2), (53, 2), (65, 2), (95, 2), (269, 1), (337, 1), (355, 1), (373, 1), (418, 1), (1714, 1), (2010, 1), (2030, 1), (2096, 1), (2998, 1), (4758, 1), (6463, 1), (8343, 1), (11439, 1)], [(20, 2), (21, 4), (28, 1), (31, 1), (33, 2), (34, 1), (45, 1), (50, 1), (53, 3), (58, 2), (117, 1), (172, 1), (173, 1), (203, 1), (217, 1), (261, 1), (288, 1), (452, 1), (759, 1), (1170, 1), (1198, 1), (1308, 1), (3942, 1), (4108, 1), (4706, 1), (7216, 1), (7411, 1)], [(8, 1), (20, 1), (64, 1), (77, 1), (91, 1), (229, 1), (399, 1), (1193, 1), (1580, 1), (1858, 2)], [(8, 1), (19, 1), (20, 2), (21, 1), (23, 2), (45, 1), (53, 1), (117, 1), (226, 1), (232, 1), (256, 1), (286, 1), (323, 1), (332, 1), (347, 1), (529, 1), (1348, 1), (1569, 1), (1820, 1), (1904, 1), (2299, 1), (3040, 1), (3102, 1), (6315, 1), (8157, 1), (18728, 1), (18729, 1), (18730, 1)], [(20, 4), (21, 5), (23, 1), (25, 4), (58, 2), (64, 1), (65, 4), (66, 1), (71, 1), (90, 1), (99, 3), (108, 3), (185, 1), (190, 1), (203, 2), (268, 1), (286, 1), (324, 1), (328, 1), (387, 1), (415, 1), (456, 2), (458, 2), (498, 1), (504, 1), (506, 1), (697, 1), (709, 1), (1308, 2), (1665, 2), (1685, 1), (2031, 2), (5075, 1), (5134, 1), (18262, 1), (18731, 1), (18732, 1)], [(64, 1), (1178, 1), (3000, 1), (4670, 1)], [(20, 2), (45, 1), (58, 1), (64, 1), (117, 2), (173, 1), (232, 2), (247, 1), (482, 1), (2925, 1), (4670, 1), (5134, 1), (7295, 1)], [(21, 1), (23, 1), (25, 1), (28, 1), (53, 1), (88, 1), (96, 1), (626, 1), (1714, 1), (2343, 1), (2490, 1), (6315, 1)], [(66, 1), (90, 1), (203, 1), (751, 1), (1858, 1), (3382, 1)], [(20, 1), (22, 2), (23, 1), (36, 1), (37, 1), (50, 1), (51, 1), (53, 2), (55, 1), (64, 2), (66, 1), (91, 1), (117, 2), (232, 1), (233, 1), (295, 1), (414, 1), (450, 1), (686, 1), (1163, 1), (1224, 1), (1879, 1), (1960, 1), (2030, 2), (2344, 1), (2656, 1), (2906, 1), (2965, 1), (9152, 1), (18733, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 12), (22, 3), (30, 1), (31, 1), (45, 1), (50, 7), (53, 18), (54, 4), (58, 1), (65, 1), (75, 1), (77, 1), (82, 1), (85, 1), (90, 3), (95, 1), (96, 1), (97, 1), (108, 2), (109, 1), (117, 5), (124, 1), (185, 1), (186, 1), (193, 1), (215, 2), (217, 1), (232, 5), (256, 3), (269, 1), (328, 1), (346, 1), (347, 1), (353, 1), (373, 2), (399, 2), (414, 1), (415, 2), (420, 1), (709, 2), (725, 1), (744, 1), (763, 1), (913, 1), (922, 1), (966, 1), (982, 1), (1308, 2), (1342, 2), (1506, 1), (1572, 1), (1702, 1), (1768, 1), (1792, 1), (1904, 1), (2029, 1), (2036, 1), (2253, 1), (2265, 1), (2276, 1), (2406, 1), (2795, 1), (2819, 2), (3557, 1), (3678, 1), (4210, 1), (4670, 1), (4744, 1), (4758, 1), (5452, 1), (6232, 1), (7022, 1), (7312, 1), (7519, 1), (7880, 1), (8069, 1), (11302, 1), (11560, 1), (12373, 1), (13525, 1), (13855, 1), (14728, 1), (15513, 1), (16565, 1), (18302, 1), (18719, 1), (18734, 1)], [(7, 1), (8, 1), (18, 3), (19, 3), (20, 6), (22, 1), (25, 2), (30, 1), (31, 1), (37, 2), (45, 2), (50, 3), (51, 1), (53, 4), (55, 1), (58, 1), (69, 1), (82, 1), (108, 1), (109, 1), (117, 2), (173, 1), (185, 1), (232, 2), (246, 1), (256, 2), (269, 1), (301, 1), (347, 2), (448, 1), (609, 1), (714, 1), (740, 1), (792, 1), (884, 1), (1057, 1), (1161, 1), (1325, 1), (1820, 1), (1824, 1), (1858, 1), (2162, 1), (2197, 1), (2605, 1), (2825, 1), (2980, 1), (3041, 1), (3160, 1), (4757, 1), (4758, 1), (4903, 1), (5452, 1), (5543, 1), (5779, 1), (5874, 1), (6315, 1), (6661, 1), (11848, 1), (11916, 1), (13544, 1), (16866, 1), (18735, 1), (18736, 1), (18737, 1), (18738, 1), (18739, 1)], [(7, 1), (8, 1), (18, 4), (20, 3), (22, 1), (25, 1), (31, 1), (50, 3), (58, 1), (71, 1), (90, 2), (91, 1), (108, 1), (109, 1), (111, 2), (117, 3), (161, 1), (190, 1), (229, 1), (232, 2), (256, 1), (292, 1), (293, 1), (404, 1), (415, 1), (448, 1), (450, 2), (609, 1), (687, 1), (709, 1), (744, 1), (763, 1), (833, 1), (1248, 1), (1324, 1), (1361, 1), (1435, 1), (1488, 1), (1747, 1), (2015, 1), (3043, 1), (3413, 1), (4249, 1), (4670, 1), (5452, 1), (6084, 1), (6416, 1), (6472, 1), (6518, 1), (8224, 1), (9821, 1), (11832, 1), (12535, 1), (13274, 1), (14939, 1), (18740, 1), (18741, 1), (18742, 1), (18743, 1)], [(8, 1), (20, 3), (22, 1), (25, 1), (32, 1), (45, 2), (50, 2), (53, 2), (54, 1), (178, 1), (197, 1), (202, 1), (229, 1), (256, 1), (516, 1), (531, 1), (654, 1), (1702, 2), (1853, 1), (2296, 1), (3040, 1), (3712, 1), (3737, 1), (6315, 2), (7332, 1), (13480, 1), (14619, 1), (18744, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 1), (64, 2), (82, 1), (99, 1), (190, 1), (233, 1), (273, 1), (287, 1), (506, 1), (1057, 1), (1163, 1), (3040, 1), (4390, 1)], [(8, 1), (19, 2), (31, 1), (53, 1), (99, 2), (172, 1), (195, 1), (215, 1), (285, 1), (506, 2), (516, 1), (1336, 1), (1685, 1)], [(7, 1), (18, 3), (19, 1), (20, 8), (21, 4), (22, 1), (23, 1), (25, 2), (31, 1), (32, 2), (34, 1), (50, 1), (51, 1), (53, 1), (58, 1), (66, 1), (99, 1), (172, 1), (193, 1), (256, 1), (278, 2), (286, 1), (324, 1), (460, 1), (600, 1), (742, 2), (800, 1), (1102, 1), (1587, 1), (1778, 1), (1858, 1), (1904, 1), (3162, 1), (3215, 1), (3677, 2), (4249, 1), (5656, 1), (6155, 1), (6315, 1), (18745, 1), (18746, 1)], [(8, 1), (18, 2), (20, 1), (23, 1), (31, 1), (58, 1), (64, 1), (65, 1), (82, 2), (90, 1), (98, 1), (190, 1), (197, 1), (824, 1), (897, 1), (1163, 1), (1198, 2), (1540, 1), (1685, 1), (1904, 1), (2925, 1), (3179, 1), (3641, 1), (6315, 1), (6994, 1), (13755, 1), (16334, 1), (18747, 1), (18748, 1)], [(8, 1), (23, 1), (32, 1), (1342, 1), (3457, 1), (9575, 1)], [(8, 1), (20, 1), (65, 2), (2178, 1), (3642, 1), (6687, 2)], [(8, 1), (20, 3), (23, 2), (25, 1), (203, 1), (256, 1), (287, 1), (295, 1), (332, 1), (645, 1), (830, 1), (1149, 1), (7083, 1), (18749, 1)], [(8, 1), (20, 3), (25, 2), (31, 1), (37, 1), (53, 2), (66, 1), (109, 1), (185, 1), (193, 1), (215, 1), (307, 1), (392, 1), (498, 1), (708, 1), (709, 1), (752, 1), (897, 1), (1170, 1), (1195, 1), (1248, 1), (1458, 1), (1462, 1), (1570, 1), (2343, 1), (3022, 1), (4000, 1), (4296, 1), (6680, 1), (7286, 1), (8077, 1), (8517, 1)], [(8, 1), (20, 3), (25, 1), (45, 2), (50, 1), (53, 1), (55, 1), (78, 1), (173, 1), (185, 1), (193, 1), (293, 1), (428, 1), (1325, 1), (1574, 1), (2605, 1), (2847, 1), (2977, 1), (3105, 1), (3390, 1), (4729, 1), (5811, 1), (14442, 1), (14456, 1), (18750, 1), (18751, 1), (18752, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (45, 3), (53, 1), (109, 1), (124, 1), (301, 1), (373, 1), (428, 1), (632, 1), (709, 1), (833, 1), (1415, 1), (1510, 1), (5064, 1), (5994, 1), (6593, 1), (6624, 1), (18747, 1), (18753, 1)], [(8, 1), (19, 1), (20, 3), (22, 1), (25, 2), (31, 1), (53, 3), (54, 2), (174, 1), (182, 1), (193, 1), (197, 1), (201, 1), (215, 1), (239, 1), (355, 1), (365, 1), (414, 1), (418, 1), (450, 1), (488, 1), (979, 1), (1322, 1), (1750, 1), (2276, 1), (2455, 1), (2847, 1), (3121, 1), (4148, 1), (7435, 1), (9810, 1), (15196, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 4), (25, 4), (32, 1), (37, 1), (53, 3), (55, 1), (58, 2), (90, 1), (106, 1), (214, 1), (215, 1), (305, 1), (307, 1), (365, 1), (399, 1), (420, 1), (459, 2), (460, 2), (600, 1), (697, 1), (706, 1), (765, 1), (1122, 1), (1159, 3), (1248, 1), (1322, 2), (1458, 1), (1529, 2), (1802, 1), (1978, 1), (2200, 1), (2393, 1), (2434, 1), (2703, 1), (3469, 1), (4532, 1), (4567, 1), (4568, 1), (13597, 1), (18289, 1), (18754, 1), (18755, 1), (18756, 1)], [(7, 1), (8, 1), (20, 3), (25, 1), (55, 1), (90, 2), (99, 1), (185, 1), (293, 1), (301, 1), (602, 1), (654, 1), (697, 1), (709, 1), (726, 1), (1159, 1), (1702, 2), (2303, 1), (2432, 1), (2880, 1), (3416, 1), (5169, 1), (7177, 1), (18064, 1), (18757, 1)], [(8, 1), (20, 2), (54, 1), (82, 1), (108, 1), (459, 1), (711, 1), (1128, 1), (1156, 1), (1159, 1), (1877, 1), (2413, 1), (18719, 1)], [(1544, 1), (18758, 1)], [(8, 1), (24, 1), (9345, 1)], [(10, 1), (22, 1), (439, 1), (466, 1), (593, 2), (929, 1), (960, 1), (6664, 1), (10172, 1), (10309, 1), (10317, 1), (10348, 1), (10381, 1), (10516, 1), (18759, 1), (18760, 1)], [(8, 1), (20, 2), (23, 1), (32, 1), (82, 1), (203, 1), (245, 1), (357, 1), (2145, 1), (3523, 1), (4757, 1), (6315, 1), (18761, 1)], [(7, 1), (8, 1), (20, 1), (24, 1), (30, 2), (77, 1), (82, 2), (109, 1), (172, 1), (245, 2), (285, 2), (309, 1), (420, 1), (1824, 1), (2361, 1), (6315, 1), (14347, 1)], [(8, 1), (19, 1), (20, 2), (23, 1), (31, 1), (77, 1), (90, 1), (97, 1), (178, 1), (245, 1), (262, 1), (278, 1), (351, 1), (1580, 1), (4757, 1), (16999, 1), (18427, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (108, 1), (185, 1), (407, 1), (516, 1), (551, 1), (1580, 2), (2823, 1), (6844, 1), (6853, 1), (7415, 1), (18427, 1), (18762, 1)], [(8, 1), (20, 2), (53, 1), (215, 1), (226, 1), (245, 1), (292, 1), (357, 2), (504, 1), (711, 1), (1139, 1), (1325, 1), (1336, 1), (6364, 1), (8646, 1), (14884, 1), (18065, 1)], [(19, 1), (20, 3), (22, 1), (31, 1), (58, 1), (66, 1), (71, 1), (203, 1), (226, 1), (229, 1), (274, 1), (357, 2), (1580, 1), (2265, 1), (3108, 1), (3527, 1), (4757, 1), (4939, 1), (7953, 1), (13944, 1)], [(20, 2), (64, 1), (247, 1), (268, 2), (1165, 1)], [(18, 2), (20, 3), (22, 3), (23, 2), (26, 1), (50, 1), (66, 1), (82, 1), (108, 1), (124, 1), (172, 1), (178, 1), (256, 1), (268, 1), (269, 1), (281, 1), (293, 1), (295, 3), (324, 1), (482, 1), (506, 2), (949, 2), (1308, 1), (1596, 1), (1685, 1), (2985, 1), (3638, 1), (4987, 1), (5788, 1), (6982, 1), (8144, 1)], [(64, 1), (247, 1), (1583, 1)], [(18, 2), (20, 1), (25, 1), (31, 1), (50, 2), (53, 1), (185, 1), (247, 1), (506, 1), (645, 1), (2401, 1), (2506, 1), (3786, 1), (4062, 1), (4136, 1), (10957, 1), (12556, 1), (18763, 1), (18764, 1)], [(19, 1), (22, 1), (25, 1), (30, 1), (65, 2), (66, 1), (173, 1), (256, 1), (278, 1), (293, 1), (516, 2), (1458, 1), (1859, 1), (3786, 1), (9968, 1), (10858, 1), (10941, 1), (18762, 1), (18765, 1)], [(8, 1), (20, 4), (32, 1), (37, 1), (45, 1), (50, 1), (53, 1), (64, 1), (90, 1), (108, 1), (178, 1), (246, 1), (442, 1), (506, 1), (530, 1), (672, 1), (776, 1), (778, 1), (792, 1), (884, 1), (949, 1), (1772, 1), (1879, 1), (2145, 1), (2355, 1), (3049, 1), (3852, 1), (7295, 1), (8198, 1)], [(8, 1), (20, 2), (23, 1), (30, 1), (190, 1), (215, 1), (295, 1), (301, 1), (792, 1), (812, 1), (949, 1), (1772, 1), (7295, 1)], [(20, 1), (23, 1), (55, 1), (66, 1), (203, 1), (287, 1), (295, 1), (1167, 1)], [(8, 1), (19, 1), (20, 1), (30, 1), (31, 1), (64, 1), (117, 1), (124, 1), (186, 1), (232, 1), (289, 1), (357, 1), (506, 1), (869, 1), (1820, 1), (2196, 1), (6315, 1), (13784, 1), (18217, 1)], [(22, 1), (23, 1), (58, 1), (66, 1), (71, 1), (245, 1), (268, 1), (1072, 1), (2145, 1)], [(20, 2), (64, 1), (247, 1), (811, 3), (1583, 1), (2178, 1)], [(20, 1), (23, 1), (25, 1), (64, 1), (190, 1), (245, 1), (247, 1), (293, 1), (6755, 1), (18766, 1)], [(8, 1), (18, 1), (20, 1), (77, 1), (108, 1), (172, 1), (278, 1), (1928, 1), (3221, 1), (6315, 1)], [(8, 1), (20, 2), (23, 1), (25, 2), (53, 1), (90, 1), (242, 1), (281, 1), (328, 1), (357, 1), (809, 1), (1580, 1), (1702, 1), (2064, 1), (2318, 1), (2694, 1), (3034, 1), (3756, 1), (6324, 1), (8583, 1)], [(8, 1), (23, 1), (32, 1), (245, 1), (331, 1), (3101, 1)], [(75, 1), (247, 1), (3786, 1), (4985, 1), (18767, 1)], [(8, 1), (19, 1), (20, 2), (53, 1), (215, 1), (357, 1), (556, 1), (1041, 1), (1294, 1), (2611, 1), (4757, 1), (7955, 1)], [(19, 1), (20, 1), (22, 1), (25, 1), (40, 2), (58, 1), (66, 1), (90, 1), (96, 1), (108, 2), (190, 1), (241, 1), (245, 2), (332, 2), (392, 1), (498, 1), (504, 1), (702, 1), (1932, 1), (3382, 1), (7083, 1), (18245, 1)], [(10, 1), (22, 1), (960, 1), (1031, 1), (6664, 1), (10348, 1), (17747, 1), (18768, 1), (18769, 1), (18770, 1)], [(8, 1), (22, 1), (23, 2), (31, 1), (45, 1), (64, 1), (70, 1), (117, 1), (173, 1), (185, 1), (256, 1), (325, 1), (800, 1), (1010, 1), (1570, 1), (1932, 1), (2296, 1), (3073, 1)], [(8, 1), (20, 1), (23, 1), (58, 1), (117, 1), (166, 1), (173, 1), (178, 1), (226, 1), (232, 1), (256, 1), (260, 1), (346, 1), (459, 1), (4758, 1), (7822, 1), (8198, 1)], [(247, 1), (8198, 1)], [(247, 1), (8198, 1)], [(20, 2), (247, 1), (18595, 1), (18596, 1), (18598, 1)], [(117, 1), (182, 1), (232, 1), (1714, 1), (2010, 1), (8198, 1)], [(8, 1), (22, 1), (36, 1), (53, 1), (71, 1), (117, 1), (186, 1), (203, 1), (226, 1), (232, 1), (498, 1), (815, 1), (2345, 1)], [(596, 1), (1714, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (58, 1), (117, 1), (232, 1), (268, 1), (328, 1), (1824, 1), (1911, 2), (2770, 1), (3123, 1), (3849, 1), (4602, 1), (4844, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (53, 1), (54, 1), (71, 1), (122, 1), (173, 1), (185, 1), (203, 1), (226, 1), (392, 1), (506, 2), (772, 2), (2495, 1), (3108, 1), (3527, 1), (3578, 1), (4939, 1), (5331, 1)], [(8, 1), (20, 5), (23, 1), (25, 1), (31, 1), (37, 1), (53, 2), (117, 2), (232, 1), (263, 1), (305, 1), (307, 1), (325, 1), (506, 2), (709, 1), (765, 1), (897, 1), (1159, 2), (1248, 1), (2290, 1), (2850, 1), (2854, 1), (6366, 1), (7463, 1)], [(8, 1), (20, 3), (25, 2), (31, 1), (50, 1), (51, 1), (58, 1), (65, 1), (84, 1), (193, 1), (273, 1), (274, 1), (275, 1), (325, 1), (334, 1), (450, 1), (777, 1), (2015, 1), (2076, 1), (2401, 1), (2405, 1), (2766, 1), (5153, 1), (6577, 1), (7567, 1), (18771, 1), (18772, 1)], [(247, 1), (2379, 1)], [(96, 1), (117, 1), (185, 1), (232, 1), (1714, 1)], [(247, 1), (18773, 1)], [(247, 1), (18773, 1)], [(37, 1), (53, 1), (247, 1), (702, 1), (13097, 1), (18773, 1)], [(19, 1), (20, 1), (22, 2), (34, 1), (53, 1), (186, 1), (247, 1), (295, 1), (1122, 1), (2782, 1), (8362, 1), (9497, 1), (11357, 1), (18774, 1)], [(18, 2), (19, 1), (20, 6), (25, 1), (32, 1), (55, 1), (65, 1), (117, 1), (172, 1), (182, 1), (232, 1), (247, 1), (269, 1), (281, 1), (295, 1), (420, 1), (450, 1), (531, 1), (596, 1), (600, 1), (704, 1), (778, 1), (884, 1), (1000, 1), (1012, 1), (1170, 1), (1683, 1), (1858, 1), (2401, 1), (2409, 1), (2872, 1), (2941, 1), (3072, 1), (3657, 1), (3786, 1), (3790, 1), (4165, 1), (4757, 1), (8198, 1), (8799, 1), (10797, 1), (18597, 1), (18775, 1)], [(18, 1), (30, 1), (65, 1), (95, 1), (109, 1), (182, 1), (373, 1), (776, 1), (1714, 1), (1902, 1), (18776, 1)], [(247, 1), (1165, 1)], [(20, 3), (25, 1), (37, 1), (117, 1), (186, 1), (232, 1), (247, 1), (281, 1), (498, 1), (897, 1), (1458, 1), (2013, 1), (2015, 1), (5679, 1), (9497, 1), (17943, 1), (17944, 1)], [(8, 1), (23, 1), (81, 1), (268, 1), (920, 1)], [(91, 1), (247, 1), (281, 1), (17945, 1)], [(8, 1), (53, 1), (269, 1), (281, 1), (2318, 1), (2766, 1), (18777, 1)], [(37, 1), (247, 1), (281, 1), (2633, 1), (10344, 1), (17943, 1), (17945, 1)], [(20, 2), (21, 1), (23, 1), (247, 1), (328, 1), (767, 1), (809, 1), (811, 1), (1583, 1), (2694, 1)], [(247, 1), (811, 1)], [(8, 1), (23, 1), (65, 1), (99, 1), (242, 1), (310, 1), (420, 1), (506, 1), (777, 1), (2785, 1), (3981, 1), (6489, 1)], [(19, 1), (20, 1), (22, 2), (23, 1), (25, 2), (66, 1), (92, 1), (117, 1), (185, 1), (226, 1), (301, 1), (506, 1), (702, 1), (710, 1), (711, 1), (1102, 1), (2854, 1), (4184, 1), (4403, 1), (5331, 1), (5336, 1), (9380, 1), (18778, 1)], [(1544, 1), (18779, 1)], [(8, 1), (24, 1), (18780, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (18, 3), (19, 4), (20, 6), (21, 1), (22, 3), (25, 4), (30, 1), (31, 1), (32, 5), (34, 1), (37, 2), (45, 4), (51, 1), (53, 7), (54, 2), (55, 2), (58, 2), (65, 1), (90, 5), (95, 1), (97, 3), (108, 1), (111, 1), (117, 1), (124, 1), (172, 1), (173, 1), (174, 1), (193, 1), (217, 2), (232, 1), (261, 1), (293, 1), (305, 1), (328, 2), (331, 1), (337, 1), (347, 3), (355, 1), (361, 1), (367, 1), (414, 1), (415, 1), (428, 1), (452, 2), (488, 1), (490, 1), (531, 1), (573, 1), (583, 1), (645, 1), (778, 1), (863, 1), (894, 1), (903, 1), (1139, 1), (1270, 1), (1342, 1), (1377, 1), (1885, 1), (1901, 1), (1902, 1), (1932, 1), (2096, 1), (2148, 1), (2184, 1), (2320, 1), (3142, 1), (3171, 1), (3356, 1), (3384, 1), (3670, 1), (3852, 1), (3923, 1), (4652, 1), (5238, 1), (5282, 1), (5360, 1), (5530, 1), (5738, 1), (5910, 1), (6109, 1), (6205, 1), (6221, 1), (6315, 1), (7442, 1), (8243, 1), (9508, 1), (10179, 1), (10740, 1), (11412, 1), (11438, 1), (11473, 1), (12366, 1), (12534, 1), (18781, 1), (18782, 1), (18783, 1), (18784, 1)], [(8, 1), (20, 5), (22, 1), (32, 1), (50, 1), (53, 4), (92, 1), (97, 1), (117, 2), (209, 1), (232, 1), (281, 1), (293, 1), (310, 1), (363, 1), (462, 1), (1041, 1), (1222, 1), (1224, 1), (1506, 1), (2085, 1), (2196, 1), (2646, 1), (2739, 1), (3752, 1), (4142, 1), (5399, 1), (6315, 1), (7362, 1), (8249, 1), (9870, 1), (11079, 1), (16896, 1), (17226, 1), (18785, 1), (18786, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (25, 1), (37, 1), (82, 1), (90, 1), (91, 1), (111, 1), (122, 1), (293, 1), (450, 2), (459, 1), (767, 1), (1071, 1), (1174, 1), (2034, 1), (2258, 1), (2883, 1), (3744, 1), (3805, 1), (4374, 1), (5196, 1), (5360, 1), (8940, 1), (14730, 1), (18625, 1), (18787, 1)], [(8, 1), (20, 3), (37, 1), (111, 1), (185, 1), (278, 1), (359, 1), (740, 1), (3114, 1), (6416, 1), (8024, 1), (15890, 1), (18632, 1)], [(8, 1), (18, 1), (19, 2), (22, 1), (124, 2), (268, 2), (269, 1), (3776, 2), (4742, 1), (5085, 1), (7286, 1), (7295, 1), (18788, 1)], [(8, 1), (19, 1), (20, 6), (25, 3), (31, 1), (50, 1), (53, 2), (57, 1), (108, 1), (117, 1), (232, 1), (739, 1), (903, 1), (1013, 1), (1342, 1), (1628, 1), (2734, 1), (3054, 1), (3701, 1), (5054, 1), (6315, 1), (6700, 1), (10783, 1), (18789, 1), (18790, 1), (18791, 1)], [(8, 1), (20, 2), (40, 1), (51, 1), (53, 2), (54, 1), (90, 1), (91, 1), (117, 1), (220, 1), (232, 1), (410, 1), (414, 1), (551, 1), (645, 1), (711, 1), (1893, 1), (2064, 1), (3553, 1), (15071, 1), (18792, 1), (18793, 1)], [(8, 1), (20, 4), (22, 3), (30, 2), (31, 2), (45, 2), (53, 2), (54, 1), (58, 1), (63, 1), (90, 1), (99, 2), (111, 1), (117, 3), (124, 1), (172, 1), (173, 1), (182, 1), (193, 2), (202, 1), (215, 1), (232, 3), (236, 1), (256, 1), (260, 1), (261, 1), (268, 1), (269, 1), (285, 1), (293, 1), (301, 1), (414, 1), (420, 1), (448, 1), (697, 1), (792, 1), (897, 1), (1506, 1), (1665, 1), (2168, 1), (2744, 1), (3004, 1), (3204, 1), (4791, 2), (6315, 1), (7088, 1), (7384, 1), (9850, 1), (14683, 1), (15021, 1), (18794, 2)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (22, 3), (26, 1), (30, 2), (32, 1), (53, 3), (58, 1), (90, 1), (111, 1), (117, 1), (173, 1), (193, 1), (215, 1), (232, 1), (281, 1), (448, 1), (459, 1), (490, 1), (531, 1), (600, 1), (744, 1), (827, 1), (903, 1), (1350, 1), (1686, 1), (1849, 1), (2016, 1), (2064, 1), (2153, 1), (2278, 1), (2304, 1), (2785, 1), (2828, 1), (2911, 1), (3759, 1), (3798, 1), (4401, 1), (4402, 1), (4473, 1), (4500, 1), (5487, 1), (7211, 1), (9048, 1), (11980, 1), (13049, 1), (13804, 1), (18552, 1)], [(8, 1), (54, 1), (90, 1), (328, 1), (331, 1), (2029, 1), (2613, 1), (4401, 1)], [(7, 1), (8, 1), (19, 1), (20, 3), (40, 1), (46, 1), (82, 1), (111, 1), (217, 1), (260, 1), (286, 1), (287, 1), (347, 1), (1224, 1), (3052, 1), (6364, 1), (7241, 1), (11980, 1)], [(8, 1), (21, 1), (22, 1), (36, 1), (45, 1), (108, 1), (111, 1), (256, 2), (261, 1), (273, 1), (285, 1), (392, 1), (418, 1), (602, 1), (751, 1), (792, 1), (800, 1), (812, 2), (1227, 1), (1665, 1), (1702, 1), (2656, 1), (5068, 1), (5816, 1), (18795, 1), (18796, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 12), (22, 7), (25, 4), (28, 1), (30, 1), (31, 5), (32, 1), (37, 1), (45, 6), (50, 1), (53, 11), (54, 2), (65, 5), (82, 1), (90, 4), (91, 2), (108, 2), (111, 4), (161, 1), (166, 2), (173, 4), (185, 1), (193, 2), (201, 2), (215, 1), (261, 2), (268, 1), (281, 3), (293, 2), (307, 1), (317, 1), (347, 1), (361, 1), (386, 1), (412, 1), (414, 2), (418, 1), (459, 2), (490, 2), (504, 1), (672, 1), (711, 2), (726, 1), (777, 1), (812, 1), (974, 1), (1042, 1), (1071, 1), (1102, 1), (1196, 1), (1224, 2), (1342, 1), (1484, 1), (1610, 1), (1702, 1), (1718, 1), (1822, 1), (1824, 1), (1910, 1), (1932, 2), (2016, 1), (2036, 1), (2055, 1), (2064, 2), (2127, 1), (2145, 1), (2200, 1), (2296, 2), (2318, 1), (2361, 1), (2744, 1), (2753, 1), (2761, 1), (2828, 1), (2858, 1), (2934, 1), (2965, 2), (2985, 1), (3043, 1), (3048, 1), (3064, 1), (3446, 3), (3524, 1), (4070, 1), (4482, 2), (4576, 1), (4715, 1), (4729, 1), (4795, 1), (5063, 1), (6274, 1), (6315, 1), (7236, 2), (8337, 1), (8482, 1), (9361, 1), (10207, 1), (10573, 1), (11418, 1), (16409, 1), (18137, 1), (18797, 1), (18798, 1)], [(8, 1), (20, 3), (22, 3), (24, 1), (25, 2), (30, 1), (53, 4), (90, 2), (108, 1), (109, 1), (117, 1), (124, 1), (173, 3), (188, 1), (232, 1), (268, 1), (281, 1), (293, 1), (337, 2), (347, 1), (361, 3), (387, 1), (1071, 1), (1224, 3), (2348, 1), (2753, 1), (3134, 1), (3250, 1), (3623, 1), (4729, 1), (5710, 1), (7036, 1), (7380, 1), (18799, 1)], [(8, 1), (20, 4), (22, 3), (25, 1), (31, 2), (36, 1), (37, 1), (45, 2), (50, 1), (53, 2), (77, 1), (90, 1), (97, 2), (173, 1), (193, 1), (215, 1), (265, 1), (392, 1), (414, 1), (418, 1), (430, 1), (777, 1), (812, 1), (922, 1), (1010, 1), (1102, 1), (1308, 1), (1630, 1), (1702, 1), (1802, 1), (1911, 1), (1932, 1), (2852, 1), (3455, 1), (3962, 1), (4330, 1), (4387, 1), (4431, 1), (4721, 1), (5142, 1), (5495, 1), (6503, 1), (6806, 1), (6835, 1), (7592, 1), (9469, 1), (10154, 1), (11905, 1), (13150, 1), (18800, 1), (18801, 1)], [(8, 1), (19, 2), (21, 2), (22, 2), (25, 1), (32, 1), (45, 2), (53, 2), (54, 2), (58, 1), (117, 1), (174, 1), (193, 1), (206, 1), (215, 1), (229, 1), (232, 1), (269, 2), (301, 1), (353, 1), (414, 1), (415, 1), (418, 1), (448, 1), (505, 1), (645, 1), (654, 1), (812, 1), (886, 1), (903, 1), (1102, 2), (1196, 1), (1466, 1), (1822, 1), (1824, 1), (2064, 1), (2343, 2), (2985, 1), (2986, 1), (3435, 1), (5368, 1), (7195, 1), (14683, 1), (18802, 1), (18803, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 1), (53, 2), (65, 2), (516, 1), (711, 1), (744, 1), (903, 2), (1477, 1), (1506, 1), (1977, 1), (2092, 1), (2117, 1), (3578, 1), (3773, 1), (4820, 1), (5336, 1), (9774, 1), (11132, 1), (18804, 1)], [(7, 2), (8, 1), (19, 1), (20, 2), (22, 1), (53, 1), (98, 1), (215, 1), (269, 1), (293, 1), (361, 1), (459, 1), (600, 1), (711, 1), (869, 1), (886, 1), (1224, 1), (1348, 1), (2479, 1), (2987, 1), (3403, 1), (3999, 1), (9443, 1), (12518, 1), (18805, 1)], [(7, 1), (8, 1), (18, 1), (20, 5), (22, 3), (31, 4), (45, 3), (53, 5), (108, 1), (215, 1), (256, 1), (281, 1), (415, 1), (504, 1), (654, 1), (711, 1), (726, 1), (1129, 1), (1348, 1), (1665, 1), (1702, 1), (2034, 1), (2296, 1), (2359, 1), (2744, 1), (3688, 1), (4401, 1), (4402, 1), (5731, 1), (6315, 3), (7236, 1), (7396, 1), (8453, 1), (9620, 1), (9870, 1), (12229, 1), (12394, 1), (14683, 3), (18806, 1)], [(8, 1), (19, 1), (20, 6), (21, 1), (22, 1), (25, 1), (31, 1), (45, 3), (53, 1), (63, 1), (197, 1), (215, 1), (229, 1), (256, 1), (331, 1), (531, 1), (792, 1), (903, 1), (1005, 1), (1570, 1), (1824, 1), (1932, 1), (2012, 1), (3421, 1), (3923, 1), (5153, 1), (6315, 2), (6695, 1), (9348, 1), (14683, 1), (17055, 1), (18807, 1), (18808, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (53, 2), (91, 1), (329, 1), (531, 1), (903, 1), (1458, 1), (1602, 1), (2479, 1), (3136, 1), (3155, 1), (3663, 1), (4500, 1), (5717, 1), (8266, 1), (13145, 1), (18809, 1), (18810, 1)], [(8, 1), (20, 1), (25, 1), (37, 1), (54, 1), (71, 1), (96, 1), (173, 1), (185, 1), (286, 1), (830, 1), (5717, 1), (6315, 1), (7463, 1), (8266, 1), (14683, 1)], [(20, 1), (45, 1), (50, 1), (53, 3), (54, 1), (65, 1), (109, 1), (317, 1), (763, 1), (824, 1), (1178, 1), (1481, 1), (2030, 1), (2359, 1), (2734, 1), (4957, 1), (5130, 1), (5358, 1), (6834, 1), (7205, 1), (18811, 1)], [(20, 4), (21, 1), (25, 2), (34, 1), (37, 1), (50, 1), (53, 4), (54, 1), (92, 1), (117, 2), (193, 1), (197, 1), (232, 1), (247, 1), (295, 1), (337, 2), (361, 1), (596, 1), (824, 1), (922, 1), (1057, 1), (1075, 1), (1198, 1), (1395, 1), (1683, 1), (2030, 1), (2361, 1), (2467, 1), (2724, 1), (4106, 1), (6228, 1), (7210, 1)], [(1178, 1), (2467, 1)], [(7, 1), (8, 1), (19, 1), (20, 4), (22, 4), (25, 2), (37, 1), (45, 1), (50, 2), (51, 1), (53, 4), (65, 1), (82, 1), (111, 1), (117, 1), (173, 2), (182, 1), (193, 1), (202, 1), (217, 1), (232, 1), (260, 1), (268, 1), (301, 1), (337, 1), (347, 2), (404, 1), (412, 1), (420, 1), (490, 1), (597, 1), (601, 1), (645, 1), (775, 1), (903, 2), (1128, 1), (1241, 1), (1248, 1), (1506, 1), (1668, 1), (1824, 1), (2825, 1), (4686, 1), (5203, 1), (5409, 1), (6235, 1), (6308, 1), (6927, 1), (7295, 1), (7411, 1), (7636, 1), (8814, 1), (10765, 1), (10957, 1), (18719, 1), (18812, 1)], [(8, 1), (19, 1), (20, 2), (45, 2), (91, 2), (109, 1), (173, 1), (201, 1), (206, 1), (301, 1), (459, 1), (504, 1), (601, 1), (1470, 1), (2055, 1), (2980, 1), (4455, 1), (4832, 1), (6881, 1), (11798, 1), (11890, 1), (14995, 1)], [(8, 1), (23, 1), (50, 1), (53, 2), (64, 1), (95, 1), (172, 1), (173, 1), (190, 1), (233, 1), (763, 1), (1149, 1), (1668, 1), (8422, 1)], [(64, 1), (247, 1), (4939, 1)], [(53, 1), (172, 1), (203, 1), (247, 1), (6315, 1), (16880, 1)], [(8, 1), (18, 4), (19, 4), (20, 4), (22, 2), (25, 3), (31, 1), (45, 2), (50, 2), (53, 5), (55, 2), (58, 1), (65, 2), (75, 1), (108, 1), (173, 2), (193, 1), (229, 1), (269, 1), (306, 1), (317, 1), (348, 1), (415, 1), (418, 1), (529, 1), (568, 1), (706, 1), (902, 1), (1042, 1), (1354, 1), (1540, 1), (2034, 1), (2862, 1), (3690, 1), (4963, 1), (5564, 1), (6209, 1), (6248, 1), (7402, 1), (9728, 1), (11960, 1), (12448, 1), (12725, 1), (14949, 1), (17349, 1), (18166, 1), (18813, 1), (18814, 1)], [(19, 1), (20, 8), (21, 1), (22, 3), (23, 1), (25, 2), (31, 1), (45, 4), (53, 4), (55, 1), (58, 1), (66, 1), (75, 1), (90, 1), (106, 1), (109, 1), (173, 1), (174, 1), (220, 1), (233, 1), (256, 1), (269, 1), (281, 3), (415, 1), (428, 1), (691, 1), (897, 1), (949, 1), (1122, 1), (1354, 1), (1506, 1), (1540, 1), (1572, 1), (1624, 1), (1755, 1), (1792, 1), (1824, 1), (2304, 1), (2702, 1), (2862, 1), (2965, 1), (3181, 1), (3614, 1), (4791, 1), (4841, 1), (5130, 1), (6510, 1), (7286, 1), (7402, 1), (7913, 1), (8103, 1), (8140, 1), (11980, 1), (12611, 1), (18815, 1), (18816, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (30, 1), (31, 1), (45, 2), (53, 4), (58, 1), (91, 1), (98, 1), (108, 1), (173, 1), (193, 1), (269, 1), (323, 1), (707, 1), (827, 1), (1540, 1), (2157, 1), (2296, 1), (2344, 1), (2523, 1), (3138, 1), (3352, 1), (5749, 1), (7286, 1), (9694, 1), (13312, 1), (17349, 1), (18817, 1)], [(8, 1), (18, 1), (20, 5), (25, 2), (53, 3), (55, 1), (75, 1), (90, 1), (108, 1), (185, 1), (193, 1), (269, 1), (281, 1), (293, 1), (317, 1), (320, 1), (331, 1), (334, 1), (365, 1), (388, 1), (632, 1), (1122, 1), (1240, 2), (1261, 1), (1270, 1), (1820, 1), (1932, 2), (2070, 1), (2707, 1), (2998, 1), (3867, 1), (5247, 1), (6315, 1), (6743, 1), (7208, 1), (13807, 1)], [(7, 1), (8, 1), (19, 3), (20, 4), (22, 1), (25, 1), (31, 3), (45, 1), (50, 1), (53, 4), (55, 1), (58, 1), (69, 1), (77, 2), (90, 1), (97, 1), (186, 1), (193, 2), (206, 1), (225, 1), (268, 1), (269, 1), (323, 1), (328, 1), (365, 1), (414, 1), (448, 2), (645, 1), (788, 1), (850, 1), (855, 1), (1041, 1), (1354, 1), (1487, 1), (1540, 1), (1698, 1), (1960, 1), (2029, 1), (2064, 1), (2120, 1), (2184, 1), (2343, 1), (2455, 1), (2862, 1), (2868, 1), (3013, 1), (4143, 1), (5942, 1), (6737, 1), (8922, 1), (9455, 1), (10085, 1), (12753, 1), (15407, 1), (18818, 1)], [(7, 2), (8, 1), (18, 3), (19, 1), (20, 5), (22, 1), (25, 2), (31, 1), (37, 1), (50, 4), (53, 6), (55, 1), (58, 1), (65, 1), (71, 3), (77, 1), (91, 1), (96, 1), (109, 1), (182, 1), (193, 1), (197, 1), (206, 1), (214, 1), (246, 1), (256, 1), (285, 1), (306, 1), (310, 1), (365, 1), (420, 1), (448, 1), (504, 1), (743, 1), (744, 1), (827, 1), (1072, 1), (1478, 1), (1506, 1), (1520, 1), (1698, 1), (1765, 1), (1960, 1), (2029, 1), (2064, 2), (2085, 1), (2148, 1), (3022, 1), (3480, 1), (4468, 1), (4473, 2), (4699, 1), (4977, 1), (6248, 1), (6416, 1), (9709, 1), (10593, 1), (12753, 1), (14941, 1), (15347, 1), (18819, 1), (18820, 1), (18821, 1), (18822, 1), (18823, 1), (18824, 1)], [(8, 1), (19, 4), (20, 4), (21, 1), (22, 2), (30, 1), (31, 2), (40, 1), (45, 2), (50, 1), (53, 5), (54, 2), (55, 1), (58, 1), (65, 1), (69, 1), (71, 1), (82, 1), (85, 1), (90, 2), (91, 1), (108, 1), (117, 2), (173, 2), (185, 2), (232, 2), (241, 1), (246, 1), (269, 2), (278, 1), (323, 1), (347, 2), (387, 1), (410, 1), (414, 1), (428, 1), (452, 1), (459, 1), (505, 1), (531, 1), (597, 1), (645, 2), (743, 1), (744, 1), (834, 1), (903, 2), (1170, 1), (1196, 1), (1308, 2), (1354, 1), (1642, 1), (1902, 1), (2005, 1), (2847, 2), (2983, 1), (2985, 1), (3138, 1), (3255, 1), (3577, 1), (3591, 1), (3830, 1), (3999, 1), (4815, 1), (5317, 1), (6315, 1), (7286, 1), (7322, 1), (10024, 1), (13960, 1), (14559, 1), (18824, 1), (18825, 1), (18826, 1)], [(8, 1), (18, 1), (20, 1), (22, 3), (25, 1), (31, 2), (45, 1), (50, 4), (53, 2), (54, 1), (65, 3), (97, 1), (173, 1), (206, 2), (217, 1), (269, 2), (293, 1), (306, 1), (317, 1), (328, 1), (346, 1), (347, 1), (365, 1), (426, 1), (497, 1), (688, 1), (706, 1), (763, 1), (834, 1), (1122, 2), (1342, 1), (1471, 1), (1481, 1), (1760, 1), (2270, 1), (2332, 1), (2712, 1), (2789, 1), (3022, 1), (3756, 1), (5580, 1), (6315, 1), (6783, 1), (7438, 1), (7587, 1), (7824, 1), (11380, 1), (11936, 1), (13789, 1), (15250, 1), (18827, 1), (18828, 1), (18829, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (25, 1), (45, 1), (53, 1), (58, 1), (186, 1), (428, 1), (704, 1), (706, 1), (897, 1), (1010, 1), (1122, 1), (1403, 1), (1458, 1), (1720, 1), (2157, 1), (2348, 1), (2799, 1), (3025, 1), (5091, 1), (18830, 1)], [(8, 1), (19, 2), (20, 4), (22, 2), (25, 1), (31, 1), (32, 1), (34, 1), (45, 1), (50, 1), (53, 2), (55, 1), (58, 2), (69, 2), (82, 1), (161, 1), (172, 1), (185, 1), (197, 1), (202, 1), (218, 1), (220, 1), (268, 1), (269, 1), (281, 1), (285, 1), (289, 1), (301, 1), (448, 1), (627, 1), (813, 1), (827, 1), (903, 2), (1308, 1), (1668, 1), (1807, 1), (1875, 1), (1911, 1), (2016, 1), (2168, 1), (2424, 1), (2785, 1), (2812, 1), (3478, 1), (3678, 1), (4142, 1), (6315, 1), (6358, 1), (6367, 1), (8152, 1), (10583, 1)], [(20, 2), (64, 1), (324, 1), (949, 1), (1178, 1), (3446, 2), (9692, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (45, 1), (50, 1), (53, 2), (55, 1), (65, 2), (91, 1), (193, 1), (317, 1), (323, 1), (338, 1), (379, 1), (686, 1), (706, 1), (827, 1), (833, 1), (1010, 1), (1102, 1), (1414, 1), (1856, 1), (2296, 1), (2925, 1), (2983, 1), (3324, 1), (5322, 1), (5743, 1), (6315, 1), (7501, 1), (9361, 1), (17886, 1), (18831, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (45, 2), (51, 1), (53, 4), (54, 1), (55, 2), (117, 1), (174, 1), (193, 1), (232, 1), (261, 1), (301, 1), (307, 1), (392, 1), (645, 1), (706, 1), (1083, 1), (1324, 1), (2107, 1), (2222, 1), (2401, 1), (3025, 1), (8119, 1), (11063, 1), (14132, 1), (18832, 1), (18833, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (45, 2), (50, 1), (58, 1), (71, 1), (90, 1), (117, 1), (232, 1), (285, 1), (447, 1), (706, 1), (1122, 1), (3095, 1), (3513, 1), (3649, 1), (4825, 1), (5791, 1), (5818, 1), (5837, 1), (7296, 1), (8192, 1), (17947, 1), (18834, 1), (18835, 2), (18836, 1)], [(7, 1), (8, 1), (50, 1), (53, 2), (54, 1), (90, 1), (301, 1), (1308, 1), (2178, 1), (7147, 1), (7296, 1), (7500, 1), (9153, 1)], [(8, 1), (18, 1), (20, 2), (22, 3), (25, 2), (31, 1), (50, 2), (53, 4), (54, 2), (55, 1), (58, 1), (90, 2), (109, 2), (117, 1), (193, 1), (232, 1), (365, 1), (392, 1), (414, 2), (428, 1), (587, 1), (812, 1), (1287, 1), (1348, 1), (1529, 1), (1730, 1), (2168, 1), (2344, 1), (2401, 1), (2455, 1), (2998, 1), (3095, 1), (3304, 1), (3446, 1), (4557, 1), (5763, 1), (6315, 1), (7506, 1), (8245, 1), (9833, 1), (18820, 1), (18832, 1), (18837, 1)], [(1544, 1), (18838, 1)], [(8, 1), (24, 2), (5138, 1), (6129, 1), (15155, 1)], [(7, 1), (8, 1), (20, 2), (22, 3), (24, 1), (25, 2), (53, 3), (54, 1), (65, 2), (112, 1), (407, 1), (412, 1), (414, 1), (435, 1), (505, 1), (709, 1), (1609, 1), (1702, 1), (2200, 1), (2228, 1), (2265, 1), (2348, 1), (4551, 1), (5138, 1), (5704, 1), (6129, 1), (7455, 1), (9792, 1), (15329, 1), (18839, 1)], [(8, 1), (19, 1), (20, 7), (22, 1), (31, 1), (37, 1), (50, 1), (53, 3), (65, 2), (72, 1), (97, 1), (111, 2), (193, 1), (209, 1), (261, 1), (281, 1), (355, 1), (448, 1), (456, 1), (459, 1), (627, 1), (704, 1), (913, 1), (914, 1), (1159, 1), (1322, 1), (1400, 1), (1732, 1), (2064, 1), (2075, 1), (2096, 1), (2340, 1), (2748, 1), (2998, 1), (3079, 1), (3791, 1), (4709, 1), (15579, 1), (18310, 1), (18840, 1), (18841, 1)], [(8, 1), (18, 2), (20, 6), (22, 1), (25, 2), (32, 1), (34, 1), (50, 2), (53, 3), (65, 2), (92, 2), (95, 1), (96, 1), (99, 2), (117, 1), (185, 1), (215, 2), (217, 1), (232, 1), (256, 1), (326, 1), (347, 1), (373, 1), (446, 1), (448, 1), (459, 1), (602, 1), (726, 1), (776, 1), (778, 1), (865, 1), (1350, 1), (1520, 1), (2753, 1), (2816, 1), (3040, 1), (5435, 1), (9546, 1), (11018, 1), (11673, 1), (14237, 1), (14761, 1), (18840, 1), (18842, 1)], [(53, 1), (64, 1), (182, 1), (756, 1), (946, 1), (6297, 1), (10515, 1)], [(64, 1), (1178, 1), (1670, 1)], [(8, 1), (19, 1), (22, 1), (25, 1), (45, 2), (53, 2), (55, 1), (65, 1), (109, 1), (173, 1), (1325, 1), (1434, 1), (1797, 1), (5682, 1), (8253, 1), (8358, 1), (9738, 1), (11673, 1)], [(30, 1), (64, 1), (461, 1), (946, 1), (6297, 1)], [(8, 1), (18, 1), (20, 2), (24, 1), (31, 1), (40, 1), (53, 2), (64, 1), (77, 1), (82, 1), (90, 2), (190, 1), (224, 1), (246, 1), (281, 1), (329, 1), (414, 1), (415, 1), (432, 1), (448, 1), (459, 1), (1163, 1), (1169, 1), (1685, 1), (1824, 1), (1854, 1), (2064, 1), (2076, 1), (2259, 1), (2761, 1), (3048, 1), (4781, 1), (7648, 1), (8413, 1), (13894, 1), (18843, 1)], [(64, 1), (1118, 1), (1178, 1), (13894, 1)], [(20, 3), (22, 1), (23, 1), (25, 1), (31, 1), (45, 1), (53, 1), (58, 1), (75, 1), (85, 1), (109, 1), (117, 1), (185, 1), (226, 1), (232, 1), (247, 1), (295, 1), (983, 1), (1198, 1), (1670, 1), (1867, 1), (2734, 1), (2978, 1), (5737, 1), (5874, 1), (6315, 1), (7029, 1), (9914, 1), (13851, 1), (17991, 1)], [(7, 1), (19, 1), (20, 2), (22, 1), (23, 1), (25, 2), (31, 2), (45, 1), (53, 2), (90, 1), (91, 1), (206, 1), (214, 1), (407, 1), (505, 1), (686, 1), (756, 1), (1021, 1), (1139, 1), (1178, 1), (1352, 1), (2184, 1), (3425, 1), (4858, 1), (5578, 1), (6492, 1), (6685, 1), (8918, 1), (10515, 1), (12744, 1), (18087, 1), (18844, 1), (18845, 1)], [(8, 1), (19, 1), (20, 2), (21, 1), (22, 1), (23, 1), (34, 1), (50, 1), (51, 1), (53, 1), (64, 1), (90, 1), (117, 1), (245, 1), (256, 2), (269, 1), (323, 1), (332, 1), (357, 1), (459, 2), (600, 1), (645, 1), (893, 1), (1137, 1), (1198, 1), (1224, 1), (1308, 1), (2157, 1), (2270, 1), (2299, 1), (2515, 1), (2872, 1), (3048, 1), (3760, 1), (4372, 1), (6268, 1), (6945, 1), (13144, 1)], [(22, 2), (23, 1), (53, 1), (66, 1), (99, 1), (269, 1), (281, 1), (307, 1), (450, 1), (459, 1), (711, 1), (752, 1), (2358, 1), (2654, 1), (2656, 1), (4317, 1), (4349, 1), (7830, 1), (13144, 1)], [(19, 1), (45, 1), (295, 1), (328, 1), (1198, 1), (1506, 1), (1574, 1), (1714, 1), (1715, 1), (2157, 1), (2855, 1)], [(20, 2), (21, 1), (22, 1), (25, 1), (26, 1), (53, 3), (247, 1), (293, 1), (414, 1), (897, 2), (1583, 1), (2184, 1), (3100, 1), (4599, 1), (11960, 1)], [(25, 1), (53, 3), (55, 1), (332, 1), (433, 1), (505, 1), (830, 1), (1198, 2), (1354, 1), (2299, 1), (3048, 1), (3702, 1), (4583, 1), (6284, 1)], [(64, 1), (247, 1), (1462, 1), (18846, 1)], [(1009, 1), (1178, 1), (4533, 1)], [(8, 1), (19, 1), (45, 1), (516, 1), (600, 1), (1352, 1), (2925, 1), (6315, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (50, 2), (53, 6), (54, 1), (55, 1), (58, 1), (82, 2), (90, 2), (172, 1), (215, 1), (256, 1), (293, 1), (301, 1), (353, 1), (365, 1), (448, 1), (450, 1), (601, 1), (1159, 1), (1477, 1), (1627, 1), (1856, 1), (1966, 1), (2185, 2), (2211, 1), (2383, 1), (2785, 1), (3709, 1), (5081, 1), (6129, 1), (6165, 1), (9849, 1), (10285, 1), (12344, 1), (13084, 1), (14981, 1), (18847, 1)], [(8, 1), (20, 1), (32, 1), (53, 3), (65, 1), (109, 1), (117, 1), (193, 1), (209, 1), (232, 1), (426, 1), (428, 1), (505, 1), (710, 1), (2847, 1), (3751, 1), (4615, 1), (5138, 1), (5426, 1), (6129, 1), (6315, 1), (7738, 1), (15329, 1), (18848, 1)], [(64, 1), (247, 1), (2379, 1)], [(247, 1), (1729, 1)], [(20, 1), (600, 1), (1170, 1), (1178, 1), (1729, 1)], [(8, 1), (18, 1), (31, 1), (824, 1), (1159, 1), (1229, 1), (2925, 1), (8247, 1)], [(19, 1), (20, 3), (22, 1), (64, 1), (84, 1), (256, 1), (295, 3), (324, 2), (359, 1), (434, 2), (497, 1), (990, 1), (1178, 1), (1609, 1), (1823, 1), (3852, 1), (4000, 1), (5134, 1), (8253, 1), (10852, 1), (12285, 1)], [(1544, 1), (18849, 1)], [(8, 1), (24, 1), (18850, 1)], [(8, 1), (18, 1), (54, 1), (65, 1), (122, 1), (300, 1), (361, 1), (988, 1), (1806, 1)], [(8, 1), (18, 1), (20, 6), (22, 1), (24, 1), (25, 4), (31, 2), (37, 1), (45, 1), (50, 1), (53, 2), (54, 1), (55, 2), (65, 2), (90, 1), (117, 2), (174, 1), (215, 1), (232, 2), (276, 1), (365, 2), (459, 1), (516, 1), (645, 1), (1010, 2), (1170, 1), (1308, 1), (1799, 1), (1861, 1), (2067, 1), (2995, 1), (3103, 1), (3670, 1), (4534, 1), (5056, 1), (5264, 1), (5273, 1), (7853, 1), (9840, 1), (18851, 1), (18852, 1), (18853, 1), (18854, 1), (18855, 1)], [(8, 1), (19, 1), (20, 10), (22, 3), (25, 4), (31, 2), (50, 3), (53, 7), (65, 2), (74, 1), (206, 2), (256, 1), (276, 1), (310, 1), (365, 1), (369, 1), (374, 1), (414, 1), (459, 2), (678, 1), (778, 1), (1010, 1), (1012, 1), (1097, 1), (1348, 1), (1385, 1), (1750, 1), (1806, 1), (2198, 1), (3121, 1), (3132, 1), (3733, 1), (3751, 1), (5896, 1), (5923, 1), (6783, 1), (7897, 1), (8053, 1), (9554, 1), (13573, 1), (15674, 1), (17297, 1), (18856, 1), (18857, 1), (18858, 1)], [(8, 1), (20, 3), (22, 2), (25, 1), (31, 1), (53, 2), (54, 2), (58, 2), (90, 1), (91, 1), (215, 1), (269, 1), (301, 1), (388, 1), (418, 1), (459, 1), (654, 1), (834, 1), (903, 1), (1102, 1), (1308, 2), (1820, 1), (2600, 1), (2601, 1), (3002, 1), (3955, 1), (4103, 1), (18859, 1)], [(8, 1), (18, 1), (19, 2), (20, 2), (22, 1), (25, 2), (53, 1), (112, 1), (185, 2), (215, 1), (260, 1), (320, 1), (365, 1), (447, 1), (516, 1), (903, 1), (1010, 1), (1297, 1), (3426, 1), (3591, 1), (5619, 1), (13573, 1), (14079, 1), (18860, 1), (18861, 1)], [(8, 1), (18, 1), (20, 4), (21, 2), (25, 1), (50, 1), (53, 6), (55, 1), (97, 1), (178, 1), (182, 1), (193, 2), (226, 1), (331, 1), (407, 1), (582, 1), (857, 1), (1159, 1), (1239, 1), (1324, 1), (3103, 1), (3352, 1), (3647, 1), (4876, 1), (5306, 1), (5619, 1), (6358, 1), (9964, 1), (11520, 1), (12187, 1), (12279, 1), (13049, 1), (16011, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (22, 5), (25, 3), (31, 2), (45, 2), (50, 4), (53, 4), (55, 1), (90, 1), (117, 1), (186, 1), (232, 1), (261, 1), (326, 1), (516, 1), (622, 1), (1001, 1), (1702, 1), (2258, 1), (2296, 1), (2381, 1), (2534, 1), (2831, 1), (3053, 1), (3388, 1), (3450, 1), (4432, 1), (5053, 1), (5133, 1), (6315, 1), (6689, 1), (7686, 1), (7704, 1), (7913, 1), (10001, 1), (13901, 1), (16781, 1), (18800, 1), (18862, 1), (18863, 1), (18864, 1), (18865, 1)], [(20, 2), (25, 1), (50, 1), (53, 1), (247, 1), (1583, 1), (4392, 1), (4534, 1), (7671, 1), (18866, 1)], [(37, 1), (90, 1), (247, 1), (434, 1), (670, 1), (1122, 1), (12368, 1), (16510, 1), (18867, 1)], [(25, 1), (50, 1), (247, 1), (1010, 1), (4214, 1), (6396, 1), (7364, 1)], [(50, 1), (51, 1), (65, 1), (117, 1), (232, 1), (247, 1), (288, 1), (295, 1), (459, 1), (688, 1), (4910, 1), (6315, 1), (11971, 1), (18048, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (27, 1), (45, 1), (50, 3), (51, 1), (53, 2), (55, 1), (65, 2), (85, 1), (90, 1), (97, 1), (172, 1), (182, 1), (293, 1), (301, 1), (414, 1), (450, 1), (728, 1), (884, 1), (1255, 1), (2443, 1), (4387, 1), (5247, 1), (6686, 1), (8048, 1), (8539, 1), (8671, 1), (9806, 1), (10855, 1), (15110, 1), (18868, 1), (18869, 1), (18870, 1), (18871, 1), (18872, 1)], [(8, 1), (19, 2), (20, 2), (25, 3), (31, 1), (45, 2), (53, 7), (90, 1), (109, 1), (124, 2), (173, 1), (288, 1), (632, 1), (680, 1), (777, 1), (2064, 1), (3776, 1), (3974, 1), (4142, 1), (4401, 1), (5068, 1), (5492, 2), (6315, 1), (7236, 1), (12383, 1), (13581, 1), (13673, 1), (13714, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (31, 2), (45, 1), (53, 2), (90, 1), (108, 1), (193, 1), (301, 1), (387, 1), (792, 1), (1010, 1), (1416, 1), (1470, 1), (1628, 1), (2344, 1), (6442, 1), (9847, 1), (18873, 1), (18874, 1), (18875, 1)], [(8, 1), (19, 3), (20, 8), (21, 2), (22, 1), (25, 4), (29, 1), (30, 2), (31, 1), (32, 1), (45, 1), (53, 1), (56, 1), (58, 1), (65, 1), (90, 2), (166, 1), (169, 1), (174, 1), (193, 1), (201, 1), (215, 1), (269, 1), (293, 1), (504, 1), (658, 1), (777, 2), (792, 2), (1010, 1), (1025, 1), (1122, 1), (1159, 1), (1175, 1), (1322, 1), (1470, 1), (1824, 1), (2344, 1), (3355, 1), (3382, 1), (3468, 1), (3645, 1), (3689, 1), (4214, 1), (4221, 1), (4482, 1), (4671, 1), (5556, 1), (6354, 1), (6490, 1), (7083, 1), (8003, 1), (8362, 1), (8405, 1), (9949, 1), (18876, 1), (18877, 1)], [(8, 1), (18, 1), (22, 1), (37, 1), (45, 1), (53, 2), (90, 1), (215, 1), (269, 1), (365, 1), (428, 1), (744, 1), (792, 1), (1071, 1), (1155, 1), (1404, 1), (1830, 1), (1911, 1), (3446, 1), (4549, 1), (4715, 1), (5011, 1), (6315, 1), (7406, 1), (12713, 1), (18878, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (25, 1), (29, 1), (30, 1), (31, 1), (45, 1), (50, 2), (51, 1), (53, 5), (85, 1), (90, 1), (94, 1), (173, 2), (229, 1), (288, 1), (632, 1), (645, 1), (726, 2), (777, 1), (809, 1), (903, 1), (1255, 1), (2611, 1), (5068, 1), (5256, 1), (6274, 1), (7227, 1), (7286, 1), (9953, 1), (18623, 1)], [(7, 1), (8, 1), (19, 2), (20, 3), (25, 1), (30, 3), (71, 1), (82, 1), (111, 1), (173, 1), (328, 1), (707, 1), (1824, 1), (2296, 1), (3434, 1), (3641, 1), (3791, 1), (7410, 1)], [(8, 1), (2406, 1), (6315, 1)], [(64, 1), (1178, 1), (7286, 1)], [(64, 1), (66, 1), (1167, 1)], [(20, 1), (64, 1), (247, 1), (1583, 1), (7286, 1)], [(8, 1), (18, 2), (20, 2), (25, 1), (58, 1), (77, 1), (754, 1), (1695, 1), (1883, 3), (4214, 1)], [(18, 3), (21, 3), (23, 1), (50, 1), (65, 1), (95, 1), (185, 1), (215, 1), (247, 1), (289, 1), (361, 1), (452, 1), (744, 2), (763, 1), (1477, 1), (1549, 1), (1578, 1), (1580, 1), (1858, 1), (4250, 1), (17940, 1)], [(21, 2), (247, 1), (458, 2), (609, 1), (1157, 2), (3786, 1), (16081, 1)], [(50, 1), (247, 1), (609, 1), (2096, 1), (4585, 1), (16081, 1)], [(20, 2), (25, 2), (50, 1), (65, 1), (247, 1), (458, 1), (609, 1), (1342, 1), (1590, 1), (7472, 1), (18879, 1)], [(53, 1), (247, 1), (365, 1), (414, 1), (458, 1), (609, 1), (7403, 1)], [(19, 1), (20, 1), (50, 1), (53, 3), (108, 2), (225, 1), (247, 1), (338, 1), (405, 1), (414, 1), (458, 2), (584, 1), (609, 2), (885, 1), (5851, 1), (6315, 1), (7914, 1), (18880, 1)], [(8, 1), (20, 2), (23, 1), (25, 1), (50, 1), (82, 1), (85, 1), (172, 1), (458, 1), (609, 1), (834, 1), (892, 1), (1248, 1), (3162, 1), (3583, 1), (4939, 1), (7286, 1)], [(18, 1), (19, 1), (20, 3), (21, 1), (22, 2), (23, 2), (50, 3), (53, 3), (58, 1), (65, 1), (97, 1), (109, 1), (117, 1), (161, 1), (172, 1), (185, 1), (217, 1), (225, 1), (232, 1), (247, 1), (256, 1), (342, 1), (445, 1), (505, 1), (654, 1), (1131, 1), (1691, 1), (1904, 1), (3013, 1), (3028, 1), (3121, 1), (4236, 1), (4318, 1), (4437, 1), (5134, 1), (6701, 1), (7753, 1), (11218, 1), (11377, 1), (11505, 1), (17615, 1)], [(247, 1), (18881, 1)], [(19, 3), (20, 6), (21, 4), (22, 1), (23, 3), (25, 3), (31, 1), (37, 1), (45, 1), (46, 1), (50, 4), (53, 4), (56, 1), (65, 3), (75, 1), (78, 1), (82, 1), (90, 1), (108, 2), (109, 1), (117, 1), (172, 1), (185, 1), (225, 1), (232, 1), (244, 1), (256, 1), (269, 1), (281, 1), (288, 1), (293, 1), (307, 1), (342, 1), (347, 1), (361, 1), (420, 2), (457, 1), (458, 1), (506, 1), (609, 1), (791, 1), (1127, 1), (1262, 2), (1308, 1), (1324, 2), (1350, 1), (1580, 3), (1714, 1), (1781, 1), (1886, 1), (1947, 1), (2206, 1), (2207, 1), (2228, 1), (2235, 1), (2516, 1), (2716, 1), (2985, 1), (3134, 1), (3552, 2), (3649, 2), (3763, 1), (3786, 2), (3978, 1), (4666, 1), (4775, 1), (4896, 1), (6583, 1), (6689, 1), (7722, 1), (8282, 1), (9158, 1), (9348, 1), (10951, 1), (11637, 1), (14117, 1), (14567, 1), (15913, 1), (16386, 1), (16397, 1), (18882, 1), (18883, 1), (18884, 1)], [(18, 1), (55, 1), (247, 1), (1159, 1), (1683, 1), (1964, 1), (3649, 1), (3760, 1), (4762, 1), (14400, 1)], [(18, 3), (20, 9), (21, 1), (22, 1), (23, 2), (25, 2), (45, 1), (51, 1), (53, 4), (55, 1), (90, 1), (97, 1), (108, 1), (124, 1), (178, 1), (225, 1), (247, 1), (420, 1), (515, 1), (645, 1), (696, 1), (833, 1), (897, 1), (1021, 1), (1159, 1), (1403, 1), (2752, 1), (3634, 1), (3786, 1), (4390, 2), (4939, 1), (5053, 1), (5309, 1), (5734, 1), (6205, 1), (6315, 1), (6674, 1), (6689, 1), (7286, 1), (10905, 1), (12053, 1), (18885, 1), (18886, 1)], [(18, 1), (20, 1), (21, 2), (51, 2), (96, 1), (117, 1), (217, 1), (225, 1), (247, 1), (458, 1), (609, 1), (6315, 1), (7086, 3)], [(50, 1), (53, 1), (185, 1), (1714, 1), (1845, 1), (2253, 1), (8295, 1)], [(20, 3), (25, 3), (53, 4), (193, 1), (1069, 1), (1379, 1), (1714, 1), (2149, 1), (2337, 1), (2734, 1), (9544, 1), (11987, 1)], [(32, 1), (53, 1), (77, 1), (111, 1), (288, 1), (1296, 1), (1714, 1), (6315, 1), (9808, 1)], [(8, 1), (8728, 1)], [(20, 1), (247, 1), (1583, 1), (7286, 1)], [(20, 2), (23, 1), (55, 1), (58, 1), (77, 1), (82, 1), (90, 1), (109, 1), (172, 1), (178, 1), (185, 1), (217, 1), (269, 1), (506, 1), (743, 1), (1487, 1), (1714, 1), (1988, 1), (2320, 1), (2337, 1), (3638, 1), (12825, 1), (15201, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (23, 1), (51, 1), (58, 1), (90, 1), (185, 1), (325, 1), (506, 1), (1470, 1), (2691, 1), (3782, 1), (5033, 1), (9519, 1), (18887, 1)], [(85, 1), (109, 1), (247, 1), (256, 1), (265, 1), (293, 1), (448, 1), (792, 1), (812, 1), (2381, 1), (7206, 1), (17326, 1)], [(20, 3), (23, 1), (51, 2), (293, 1), (301, 1), (452, 3), (1170, 1), (1685, 1), (1714, 1), (7286, 1)], [(8, 1), (20, 4), (23, 2), (25, 1), (53, 1), (215, 1), (262, 1), (459, 1), (605, 1), (1071, 1), (1102, 1), (2657, 1), (3746, 1), (4326, 1), (4337, 1), (4347, 1), (4605, 1), (10171, 1), (13796, 1), (15182, 1)], [(247, 1), (332, 1)], [(247, 1), (332, 1)], [(27, 1), (29, 1), (247, 1), (332, 1), (1580, 2), (3786, 3), (4408, 1), (8439, 1), (18888, 1)], [(247, 1), (18888, 1)], [(19, 1), (20, 2), (22, 1), (23, 1), (25, 2), (50, 1), (51, 1), (172, 1), (262, 1), (295, 1), (1013, 1), (1470, 1), (1714, 1), (1820, 1), (1966, 1), (2841, 1), (4311, 1), (5524, 1), (7206, 1), (8242, 1), (8270, 1), (11517, 1), (18888, 1)], [(247, 1), (12413, 1)], [(8, 1), (18, 1), (19, 3), (20, 1), (22, 3), (58, 1), (77, 1), (111, 1), (220, 1), (281, 1), (332, 1), (365, 1), (428, 2), (498, 1), (506, 2), (688, 1), (800, 1), (833, 2), (1170, 1), (1296, 2), (2693, 1), (4142, 2), (4214, 1), (7286, 1)], [(7, 1), (22, 1), (53, 2), (65, 1), (247, 1), (386, 1), (405, 1), (639, 1), (1131, 1), (1219, 1), (5174, 1)], [(8, 1), (20, 1), (22, 1), (23, 1), (25, 1), (31, 1), (34, 1), (53, 1), (77, 1), (185, 1), (220, 1), (645, 1), (1580, 2), (1761, 1), (2482, 1), (3649, 1), (3677, 1), (4386, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 2), (22, 2), (23, 1), (82, 1), (268, 1), (414, 2), (420, 2), (1165, 1), (1363, 2), (1685, 1), (2253, 1), (3786, 1), (5148, 1), (5331, 1), (5743, 1), (6315, 1), (8276, 1)], [(8, 1), (71, 1), (82, 1), (292, 1), (658, 1), (4386, 1), (15259, 1)], [(20, 1), (247, 1), (268, 1), (1165, 1)], [(23, 1), (31, 1), (34, 1), (53, 1), (55, 1), (82, 1), (90, 1), (220, 1), (1178, 1), (1324, 1), (1348, 1), (1587, 1)], [(20, 1), (64, 1), (247, 1), (1580, 1), (1583, 1), (1904, 1)], [(247, 1), (1580, 1), (1904, 1)], [(247, 1), (507, 1), (1628, 1)], [(20, 1), (29, 1), (37, 1), (51, 1), (247, 1), (337, 1), (1130, 1)], [(19, 1), (74, 1), (90, 1), (161, 1), (247, 1), (269, 1), (691, 1), (743, 1), (2149, 1), (2253, 1), (10233, 1)], [(55, 1), (247, 1), (506, 1), (13980, 1)], [(206, 1), (247, 1), (434, 1), (497, 1), (498, 1), (4326, 1), (4652, 1)], [(247, 1), (434, 1), (498, 1), (1587, 1)], [(20, 8), (21, 1), (22, 1), (25, 3), (45, 1), (50, 2), (51, 1), (53, 1), (65, 1), (117, 1), (214, 2), (215, 1), (232, 1), (247, 1), (260, 1), (278, 1), (354, 1), (949, 1), (1180, 1), (3647, 1), (3649, 2), (3677, 3), (4249, 1), (4386, 1), (4422, 1), (4841, 1), (7286, 1), (12548, 1), (14401, 1), (18738, 1), (18889, 1), (18890, 1)], [(247, 1), (13980, 1)], [(53, 1), (185, 1), (247, 1), (434, 1), (498, 2), (506, 1), (1324, 1), (1570, 1), (3416, 1), (3786, 1), (12100, 1)], [(19, 1), (20, 3), (34, 1), (51, 1), (84, 1), (247, 1), (285, 1), (288, 1), (414, 1), (419, 1), (697, 1), (1347, 1), (1361, 1), (1458, 1), (1580, 1), (1904, 1), (4942, 1), (5627, 1), (8023, 1), (13949, 1)], [(20, 4), (23, 1), (31, 1), (66, 1), (172, 1), (185, 1), (215, 1), (260, 1), (342, 1), (412, 1), (448, 1), (711, 1), (744, 1), (949, 1), (1361, 1), (1806, 1), (1883, 1)], [(8, 1), (20, 1), (64, 1), (172, 2), (530, 1), (711, 1)], [(8, 1), (21, 1), (23, 1), (31, 1), (53, 1), (91, 1), (172, 1), (182, 1), (412, 1), (448, 1), (2538, 1), (2926, 1)], [(19, 1), (20, 3), (21, 2), (22, 3), (23, 1), (25, 1), (30, 2), (31, 1), (32, 1), (45, 2), (50, 2), (51, 1), (53, 2), (58, 1), (66, 1), (77, 1), (185, 1), (186, 1), (190, 1), (242, 1), (256, 1), (281, 1), (288, 1), (338, 1), (506, 2), (626, 1), (702, 1), (1342, 1), (1458, 1), (1824, 1), (1858, 1), (2471, 1), (2706, 1), (3162, 1), (3689, 1), (6261, 1), (6507, 1), (6743, 1), (7047, 1), (8497, 1), (9393, 1), (9810, 1), (10354, 1), (14953, 1)], [(20, 1), (247, 1), (1563, 1), (1580, 2), (6206, 1), (7715, 2), (10015, 1)], [(19, 2), (20, 2), (45, 1), (50, 1), (53, 2), (71, 1), (90, 1), (117, 1), (197, 1), (232, 1), (247, 1), (743, 1), (752, 1), (763, 1), (1132, 1), (1156, 1), (1580, 1), (1858, 1), (2926, 1), (4032, 1), (4442, 1), (5452, 1), (6833, 1), (12292, 1)], [(20, 1), (247, 1), (1778, 1), (3162, 1)], [(124, 1), (247, 1), (268, 1)], [(58, 1), (77, 1), (247, 1), (3181, 1)], [(108, 1), (247, 1), (419, 1), (706, 1), (1361, 1)], [(20, 3), (25, 1), (53, 1), (85, 1), (247, 1), (434, 1), (498, 1), (1324, 1), (1580, 1), (1904, 1), (2586, 1), (3280, 1), (3416, 1)], [(20, 1), (34, 1), (247, 1), (4706, 1)], [(53, 2), (109, 1), (117, 1), (232, 1), (247, 1), (1858, 1), (2492, 1), (2977, 1)], [(53, 2), (75, 1), (117, 1), (232, 1), (414, 1), (1132, 1), (1178, 1), (1858, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (25, 1), (45, 1), (53, 1), (54, 1), (117, 1), (173, 1), (232, 1), (301, 1), (516, 1), (1559, 1), (2344, 1), (3390, 1), (3798, 1), (4473, 1), (4791, 1), (6315, 1), (6873, 1), (8282, 1), (16386, 1), (18891, 1), (18892, 1)], [(19, 1), (20, 11), (22, 3), (23, 2), (25, 5), (29, 1), (31, 1), (37, 2), (53, 1), (58, 2), (64, 1), (77, 2), (82, 1), (90, 1), (96, 3), (215, 1), (229, 1), (289, 1), (293, 2), (305, 1), (316, 1), (387, 1), (414, 1), (506, 2), (596, 1), (811, 1), (1149, 1), (1342, 1), (1580, 1), (1685, 1), (1714, 1), (2161, 1), (2333, 1), (2515, 1), (2855, 1), (3424, 1), (3524, 1), (3923, 1), (4161, 1), (4672, 1), (5153, 1), (5198, 1), (6202, 1), (6416, 2), (6490, 1), (6809, 1), (9850, 1), (12795, 1), (13059, 1), (13097, 1), (14562, 1), (18893, 1), (18894, 1)], [(20, 1), (1714, 1), (2909, 1), (6315, 2)], [(20, 3), (23, 1), (58, 1), (90, 1), (111, 1), (185, 1), (323, 1), (332, 1), (1069, 1), (1714, 1), (2909, 1), (10021, 1)], [(7, 1), (8, 1), (20, 4), (22, 5), (23, 1), (25, 1), (27, 1), (29, 1), (31, 1), (50, 1), (53, 1), (65, 1), (77, 1), (82, 2), (90, 3), (185, 2), (215, 1), (256, 2), (269, 3), (288, 1), (301, 1), (332, 1), (334, 1), (342, 1), (425, 1), (448, 1), (504, 1), (531, 1), (581, 2), (672, 1), (897, 1), (1001, 1), (1377, 1), (1747, 3), (1822, 1), (1858, 1), (1911, 1), (2034, 1), (2088, 1), (3121, 2), (3132, 1), (3358, 1), (3426, 1), (3770, 1), (4212, 1), (4532, 1), (4619, 1), (10177, 1), (11079, 1)], [(8, 1), (20, 4), (25, 2), (31, 1), (53, 1), (56, 1), (77, 1), (185, 1), (214, 1), (419, 1), (516, 1), (639, 1), (645, 1), (1001, 1), (1122, 2), (1729, 1), (2406, 1), (7329, 1), (7336, 1), (11937, 1)], [(20, 1), (37, 1), (53, 1), (247, 1), (331, 1), (1342, 1), (3886, 1)], [(20, 1), (25, 1), (90, 1), (185, 1), (247, 1), (365, 1), (4214, 1), (10208, 1), (12912, 1)], [(247, 1), (1670, 1)], [(34, 1), (247, 1), (2745, 1), (18895, 1)], [(19, 1), (25, 1), (30, 1), (58, 1), (65, 1), (74, 1), (90, 1), (323, 1), (428, 1), (1714, 1), (2140, 1), (2253, 1), (2383, 1), (18125, 1)], [(20, 1), (247, 1), (287, 1), (645, 1), (1323, 1), (1685, 1), (4759, 1)], [(19, 2), (20, 1), (53, 2), (77, 1), (117, 1), (232, 1), (420, 1), (1377, 1), (1714, 1), (2010, 1), (2770, 1), (3686, 1), (4598, 1), (4819, 1)], [(8, 1), (18, 3), (20, 5), (22, 2), (25, 3), (32, 1), (50, 1), (53, 5), (58, 2), (65, 2), (77, 1), (109, 1), (172, 1), (214, 1), (215, 1), (217, 1), (301, 1), (316, 1), (399, 1), (504, 1), (711, 1), (754, 1), (996, 1), (1010, 1), (1324, 1), (1348, 1), (1467, 1), (1487, 1), (1695, 1), (1798, 1), (1883, 3), (2697, 1), (2994, 1), (3289, 1), (3952, 1), (4214, 1), (5588, 1), (5912, 1), (7286, 1), (8809, 2), (14845, 1)], [(1714, 1), (18498, 1)], [(8, 1), (20, 2), (37, 1), (53, 1), (193, 1), (288, 1), (414, 1), (419, 3), (830, 1), (1799, 1), (2344, 1), (4939, 1), (5512, 1), (8640, 1)], [(1714, 1), (18896, 1)], [(20, 2), (21, 1), (22, 1), (25, 2), (31, 1), (53, 1), (65, 1), (117, 1), (215, 1), (232, 1), (310, 1), (703, 1), (1140, 1), (1178, 1), (1350, 1), (1656, 1), (2344, 1), (2729, 1), (4890, 1), (4939, 1), (5593, 1), (5703, 1), (6575, 1), (7286, 1), (13529, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (53, 1), (55, 1), (117, 1), (232, 1), (301, 1), (347, 1), (1324, 1), (3937, 1), (4322, 1), (13084, 1), (16524, 1), (18897, 1), (18898, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (31, 1), (53, 3), (193, 1), (256, 1), (261, 1), (328, 1), (414, 1), (415, 1), (418, 1), (627, 1), (632, 1), (680, 1), (777, 1), (2064, 1), (2211, 1), (4142, 1), (6315, 1), (6513, 1), (15618, 1)], [(8, 1), (53, 1), (54, 1), (777, 1), (922, 1), (1694, 1), (11960, 1), (11980, 1), (18899, 1)], [(1544, 1), (18900, 1)], [(8, 1), (21, 1), (24, 1), (3528, 1), (6974, 1), (18901, 1)], [(8, 1), (18, 1), (19, 2), (20, 6), (21, 2), (25, 1), (31, 3), (45, 3), (51, 1), (53, 4), (65, 2), (85, 1), (97, 1), (109, 1), (117, 1), (173, 2), (186, 1), (190, 1), (193, 1), (215, 2), (232, 1), (365, 1), (420, 1), (448, 1), (645, 1), (658, 1), (709, 1), (1010, 1), (1224, 1), (1588, 1), (1732, 1), (1856, 1), (2174, 1), (2258, 1), (2343, 1), (2348, 1), (2501, 1), (2977, 1), (3064, 1), (3542, 1), (3790, 1), (4527, 1), (5068, 1), (5368, 1), (6624, 1), (6866, 1), (7236, 1), (8126, 1), (8337, 1), (9613, 1), (9899, 1)], [(8, 1), (18, 1), (36, 1), (71, 1), (90, 1), (95, 1), (203, 1), (707, 1), (5837, 1)], [(7, 1), (8, 1), (18, 1), (19, 4), (20, 7), (22, 1), (25, 3), (37, 1), (50, 1), (53, 8), (54, 2), (65, 1), (71, 2), (90, 1), (95, 1), (117, 1), (161, 1), (215, 2), (232, 1), (275, 1), (334, 1), (337, 1), (420, 1), (672, 1), (709, 1), (752, 1), (897, 2), (979, 1), (1090, 1), (1241, 1), (1245, 1), (1393, 1), (1450, 1), (1911, 1), (2258, 1), (2343, 1), (3416, 1), (3661, 1), (3790, 1), (3947, 1), (4287, 1), (4562, 1), (5204, 1), (5942, 1), (6213, 1), (6315, 1), (6437, 1), (7043, 1), (9755, 1), (11126, 1), (16298, 2), (18902, 1), (18903, 1), (18904, 1), (18905, 1)], [(7, 1), (8, 1), (18, 2), (20, 6), (24, 1), (25, 2), (31, 1), (50, 3), (53, 5), (54, 1), (58, 1), (65, 2), (174, 1), (193, 2), (206, 1), (215, 1), (338, 1), (365, 1), (382, 1), (414, 1), (448, 1), (516, 1), (537, 1), (660, 1), (1414, 1), (1600, 1), (1668, 1), (2546, 1), (2698, 1), (2789, 1), (3510, 1), (4416, 1), (4432, 1), (4796, 1), (5015, 1), (5422, 1), (5542, 1), (5673, 1), (6771, 1), (7208, 1), (13091, 1), (15073, 1), (15891, 1), (18550, 1), (18906, 1), (18907, 1), (18908, 1), (18909, 1), (18910, 1)], [(53, 1), (64, 1), (65, 1), (247, 1), (317, 1), (1481, 1), (5358, 1)], [(37, 1), (1178, 1), (1353, 1), (1354, 1)], [(8, 1), (19, 1), (20, 2), (31, 1), (50, 1), (53, 4), (55, 3), (90, 1), (109, 1), (293, 1), (414, 1), (450, 2), (711, 2), (744, 1), (792, 1), (872, 1), (903, 1), (1248, 1), (1354, 1), (1958, 1), (2064, 1), (2133, 1), (2155, 1), (3623, 1), (7005, 1), (7236, 1), (7317, 1), (8140, 1), (9889, 1), (10337, 1), (11358, 1), (16297, 1), (17056, 1), (18911, 1)], [(34, 1), (64, 1), (117, 1), (295, 1), (596, 1), (946, 1), (1075, 1)], [(8, 1), (19, 1), (20, 1), (45, 1), (53, 1), (2925, 1), (2977, 1), (4214, 1), (6315, 1), (18912, 1)], [(20, 1), (64, 1), (527, 1), (949, 1), (1178, 1), (1722, 1)], [(8, 1), (31, 1), (53, 1), (54, 1), (310, 1), (3709, 1), (6574, 1), (7223, 1)], [(64, 1), (117, 1), (247, 1), (611, 1), (3786, 1), (4519, 1), (5921, 1), (18913, 1)], [(20, 1), (25, 2), (306, 1), (414, 1), (432, 1), (1178, 1), (2479, 1), (17011, 1)], [(8, 1), (18, 2), (19, 1), (20, 6), (22, 1), (25, 3), (30, 2), (31, 2), (32, 1), (50, 1), (53, 6), (65, 7), (92, 1), (108, 1), (173, 2), (256, 1), (306, 1), (317, 1), (320, 1), (418, 1), (420, 1), (459, 1), (505, 1), (516, 1), (697, 1), (706, 1), (711, 1), (752, 3), (753, 1), (827, 1), (1010, 1), (1042, 2), (1239, 1), (1520, 1), (1529, 2), (1750, 1), (2036, 1), (2849, 1), (3020, 1), (3024, 1), (3540, 2), (4473, 1), (4519, 1), (4736, 1), (5177, 1), (5882, 1), (5916, 1), (6034, 1), (6252, 1), (7208, 1), (8791, 1), (9354, 1), (11811, 1), (13074, 1)], [(64, 1), (247, 1), (328, 1), (351, 1), (1321, 2), (1322, 2), (3786, 1)], [(18, 1), (65, 1), (126, 1), (247, 1), (516, 1), (1132, 1), (2198, 1), (2732, 1)], [(1, 1), (4, 1), (77, 1), (122, 1), (1178, 1)], [(7, 2), (8, 1), (19, 2), (20, 1), (53, 5), (65, 1), (95, 1), (97, 1), (174, 1), (186, 1), (217, 1), (293, 1), (347, 1), (414, 1), (600, 1), (711, 1), (771, 1), (903, 1), (1170, 1), (1248, 1), (1385, 1), (1482, 1), (1698, 1), (2064, 1), (2240, 1), (3020, 1), (3883, 1), (9588, 1), (10618, 1), (18914, 1)], [(8, 1), (18, 1), (20, 3), (30, 1), (32, 1), (45, 1), (50, 1), (53, 4), (54, 1), (55, 1), (65, 3), (69, 1), (90, 1), (117, 2), (232, 2), (293, 1), (317, 1), (347, 1), (394, 1), (414, 2), (415, 1), (448, 1), (704, 1), (706, 1), (767, 1), (1071, 1), (1170, 1), (1482, 1), (1731, 1), (2667, 1), (2965, 1), (3540, 1), (4519, 1), (5486, 1), (6315, 2), (7296, 1), (7501, 1), (8103, 1), (8442, 1), (9694, 1)], [(8, 1), (20, 2), (25, 1), (32, 1), (45, 2), (50, 1), (53, 3), (54, 1), (95, 1), (111, 1), (130, 1), (182, 1), (185, 1), (193, 1), (197, 1), (293, 1), (365, 1), (428, 1), (448, 1), (1010, 1), (1012, 1), (1689, 1), (2732, 1), (2998, 1), (4549, 1), (5224, 1), (5756, 1), (6791, 1), (7208, 1), (7933, 1), (8814, 1), (18915, 1)], [(8, 1), (25, 1), (31, 1), (53, 3), (58, 1), (174, 1), (293, 1), (347, 1), (394, 1), (553, 1), (711, 1), (903, 1), (922, 1), (1116, 1), (1157, 1), (1689, 1), (2934, 1), (7219, 1), (8814, 1), (9561, 1), (11018, 1), (18916, 1)], [(34, 1), (50, 1), (58, 1), (64, 1), (295, 1), (307, 1), (331, 1), (792, 1), (946, 1), (3056, 1)], [(8, 1), (20, 1), (30, 1), (37, 1), (53, 1), (600, 1), (1255, 1), (2925, 1), (6315, 1), (7223, 1), (11936, 1)], [(8, 1), (20, 3), (23, 2), (25, 1), (30, 1), (64, 1), (69, 1), (85, 1), (90, 2), (233, 1), (726, 1), (792, 1), (922, 1), (949, 1), (1163, 1), (1570, 1), (1904, 1), (2925, 1), (6315, 1), (8103, 1)], [(8, 1), (20, 2), (21, 1), (22, 1), (53, 4), (64, 1), (77, 1), (82, 1), (108, 1), (268, 1), (506, 1), (922, 2), (1118, 1), (1570, 1), (2495, 1), (9354, 1), (11937, 1), (16880, 2)], [(8, 1), (22, 1), (23, 1), (50, 1), (53, 1), (166, 1), (172, 1), (295, 1), (756, 1), (763, 1), (1308, 1), (3024, 1), (3056, 1), (10515, 1)], [(247, 1), (328, 2), (351, 1), (1321, 3), (1322, 3), (3786, 2)], [(328, 1), (351, 1), (1178, 1), (1458, 2), (3786, 1)], [(8, 1), (19, 1), (20, 4), (31, 1), (50, 1), (53, 2), (65, 1), (95, 1), (117, 1), (173, 1), (174, 1), (232, 1), (2099, 1), (2681, 1), (2925, 1), (4595, 1), (7853, 1), (8535, 1), (17536, 1), (18917, 1), (18918, 1), (18919, 1)], [(19, 1), (36, 1), (64, 1), (117, 1), (232, 1), (247, 1), (1764, 1), (3709, 1)], [(247, 1), (359, 1), (18913, 1)], [(65, 2), (247, 1), (3540, 1), (4519, 1), (5921, 1), (8465, 1)], [(7, 1), (8, 1), (913, 1), (1248, 1), (7363, 1)], [(8, 2), (20, 3), (25, 1), (53, 1), (414, 1), (709, 1), (1195, 1), (1363, 1), (2515, 1), (3681, 1), (5331, 1), (7286, 1)], [(247, 1), (328, 1), (18920, 1)], [(18, 1), (20, 1), (247, 1), (1287, 1), (13746, 1), (18921, 1)], [(20, 2), (22, 1), (241, 1), (247, 1), (645, 1), (7362, 2)], [(247, 1), (287, 1), (351, 1), (3264, 1)], [(20, 1), (22, 1), (247, 1), (268, 1), (680, 1), (1165, 1), (1308, 1), (2401, 1)], [(53, 1), (328, 1), (913, 1), (1714, 1), (2849, 1), (2855, 1)], [(7, 2), (20, 1), (247, 1), (800, 1), (7363, 1)], [(8, 1), (20, 3), (22, 1), (506, 1), (1178, 1), (1195, 1), (1932, 1), (2185, 1), (3456, 1), (5743, 2), (7286, 1), (9895, 1)], [(8, 1), (19, 1), (25, 1), (53, 2), (92, 1), (173, 1), (1010, 1), (2064, 1), (3379, 1)], [(19, 1), (20, 2), (22, 1), (36, 1), (53, 1), (64, 2), (66, 1), (77, 1), (109, 1), (172, 1), (182, 1), (434, 1), (709, 1), (949, 1), (970, 1), (1072, 1), (1163, 1), (1324, 1), (1720, 1), (1824, 1), (2925, 1), (6633, 1), (7295, 1), (11945, 1)], [(20, 1), (64, 1), (247, 1), (645, 1), (2775, 1), (9443, 1)], [(7, 1), (53, 1), (247, 1), (7363, 1), (10314, 1)], [(53, 1), (186, 1), (247, 1), (310, 1), (3786, 1), (4533, 1), (6339, 1), (8077, 1)], [(22, 1), (90, 1), (240, 1), (241, 1), (247, 1), (1159, 2), (3786, 2), (7687, 1), (18922, 1)], [(20, 1), (913, 1), (1178, 1), (18923, 1)], [(8, 1), (19, 1), (20, 1), (21, 1), (22, 3), (25, 1), (37, 3), (53, 4), (55, 1), (65, 1), (117, 1), (232, 1), (256, 1), (373, 1), (459, 1), (753, 1), (814, 1), (913, 1), (979, 1), (1381, 1), (5011, 1), (5921, 1), (6037, 1), (6315, 1), (6633, 1), (6683, 1), (7286, 1), (11945, 1), (12758, 1), (17273, 1)], [(8, 1), (18, 1), (20, 1), (22, 1), (33, 1), (45, 1), (65, 1), (117, 1), (126, 1), (186, 1), (232, 1), (261, 1), (382, 1), (582, 1), (983, 1), (3377, 1), (3730, 1), (4926, 1), (9809, 1), (11980, 1), (18924, 1)], [(8, 1), (20, 1), (22, 1), (53, 2), (92, 1), (256, 1), (365, 1), (450, 1), (551, 1), (711, 1), (1308, 1), (1557, 1), (2365, 1), (5111, 1), (6221, 1), (8413, 1), (10642, 1), (12387, 1), (15205, 1), (18925, 1)], [(8, 1), (18, 2), (20, 2), (22, 2), (30, 1), (53, 1), (58, 1), (65, 1), (124, 1), (209, 1), (293, 1), (435, 1), (583, 1), (711, 1), (777, 1), (903, 2), (1041, 1), (1702, 1), (1798, 1), (2209, 1), (3542, 1), (4387, 1), (5015, 1), (5986, 1), (6261, 1), (15205, 1), (15953, 1)], [(8, 1), (18, 1), (20, 5), (25, 1), (31, 1), (45, 2), (50, 1), (53, 2), (54, 1), (90, 1), (215, 1), (293, 1), (365, 1), (387, 1), (406, 1), (426, 1), (427, 1), (504, 1), (531, 1), (696, 1), (753, 1), (1719, 1), (1732, 1), (2359, 1), (2543, 1), (2681, 1), (2732, 1), (3003, 1), (3054, 1), (3700, 1), (5491, 1), (6615, 1), (7061, 1), (7654, 1), (8341, 1), (8922, 1), (9793, 1), (11502, 1), (12116, 1), (15516, 1), (18926, 1)], [(8, 1), (20, 1), (36, 1), (50, 1), (53, 2), (587, 1), (706, 1), (726, 1), (2400, 1), (3947, 1), (4432, 1), (4544, 1), (7200, 1)], [(7, 1), (8, 1), (18, 1), (20, 5), (22, 2), (25, 3), (45, 3), (50, 1), (53, 5), (58, 1), (65, 1), (75, 1), (85, 1), (109, 1), (414, 2), (428, 1), (632, 1), (673, 1), (686, 1), (777, 1), (778, 1), (974, 1), (1219, 1), (1229, 1), (1348, 1), (1791, 1), (1806, 1), (2340, 1), (2348, 1), (2831, 1), (3103, 1), (3663, 1), (4401, 1), (4652, 2), (6957, 1), (7037, 1), (7362, 1), (8195, 1), (10006, 1), (10285, 1), (10726, 1), (12758, 1), (12937, 1), (13291, 1), (13593, 1), (18704, 1), (18927, 1), (18928, 1), (18929, 1)], [(7, 1), (8, 1), (18, 2), (19, 2), (20, 5), (22, 2), (25, 5), (42, 1), (50, 6), (53, 8), (55, 1), (65, 2), (74, 1), (95, 1), (109, 2), (117, 1), (174, 1), (185, 1), (193, 1), (206, 1), (232, 1), (256, 1), (269, 1), (301, 1), (365, 1), (414, 1), (448, 1), (450, 1), (459, 1), (516, 3), (531, 1), (623, 1), (626, 1), (777, 1), (778, 1), (1379, 1), (1458, 1), (1939, 1), (1940, 1), (2365, 1), (2434, 1), (2613, 1), (2716, 1), (2754, 1), (3103, 1), (3718, 1), (3799, 1), (4827, 1), (5064, 1), (5368, 1), (5896, 1), (5952, 1), (6156, 1), (6165, 1), (6177, 1), (6983, 1), (7896, 1), (8558, 1), (9546, 1), (9774, 2), (11936, 1), (12181, 1), (12434, 1), (13893, 1), (15624, 1), (16152, 1), (16345, 1), (18488, 1), (18930, 1), (18931, 1), (18932, 1), (18933, 1), (18934, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (31, 1), (50, 1), (53, 1), (95, 1), (126, 1), (678, 1), (814, 1), (5487, 1), (7399, 1), (8444, 1), (11004, 1), (13573, 1), (18935, 1)], [(19, 1), (20, 3), (22, 3), (31, 1), (45, 2), (53, 3), (55, 2), (82, 2), (90, 1), (108, 1), (247, 1), (261, 1), (281, 1), (334, 1), (679, 1), (778, 1), (1084, 1), (1118, 1), (1324, 1), (1720, 1), (1870, 1), (4286, 1), (5015, 1), (5252, 1), (5568, 1), (5621, 1), (6442, 1), (6749, 1), (7097, 1), (10275, 1), (12758, 1), (13717, 1), (13807, 1), (15496, 1), (16043, 1), (18936, 1), (18937, 1), (18938, 1), (18939, 1), (18940, 1), (18941, 1)], [(8, 1), (53, 1), (173, 1), (215, 1), (293, 1), (756, 1), (792, 1), (1100, 1), (10515, 1), (15627, 1), (16603, 1), (18942, 1)], [(8, 1), (20, 3), (21, 2), (30, 1), (53, 2), (55, 1), (78, 1), (90, 1), (95, 1), (256, 1), (293, 1), (414, 1), (632, 2), (708, 1), (776, 1), (897, 1), (1129, 2), (1219, 1), (1270, 1), (1324, 1), (1549, 1), (3103, 1), (4531, 1), (5058, 1), (5731, 1), (7037, 1), (18943, 1), (18944, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (37, 1), (50, 1), (53, 2), (58, 1), (90, 1), (185, 1), (217, 1), (256, 2), (323, 1), (328, 1), (347, 3), (399, 1), (448, 1), (894, 1), (1165, 1), (2202, 1), (5256, 1), (5692, 1), (5910, 1), (6515, 1), (8433, 1), (12427, 1), (15377, 1), (16766, 1), (18826, 1), (18945, 1), (18946, 1)], [(20, 3), (95, 1), (247, 1), (580, 2), (1742, 1), (5134, 1), (18947, 1)], [(8, 1), (19, 1), (20, 2), (25, 1), (31, 1), (37, 1), (53, 1), (90, 1), (108, 1), (117, 1), (172, 1), (220, 1), (228, 1), (245, 1), (268, 1), (288, 1), (307, 1), (323, 1), (357, 2), (414, 1), (697, 1), (763, 1), (830, 1), (922, 1), (1196, 1), (1257, 1), (1342, 1), (6945, 1), (18948, 1), (18949, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (20, 5), (45, 2), (50, 3), (53, 4), (65, 1), (75, 1), (92, 1), (109, 1), (246, 1), (263, 1), (331, 1), (365, 1), (399, 1), (414, 1), (435, 1), (459, 1), (532, 1), (1088, 1), (1277, 1), (1668, 1), (1702, 1), (1803, 1), (1820, 1), (3428, 1), (3553, 1), (4600, 1), (5420, 1), (5496, 1), (9946, 1), (11014, 1), (14527, 1), (16858, 1), (18950, 1), (18951, 1), (18952, 1), (18953, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 2), (26, 1), (30, 1), (31, 1), (45, 2), (50, 2), (53, 4), (85, 1), (108, 1), (109, 1), (117, 1), (232, 1), (301, 1), (516, 1), (531, 1), (680, 1), (1010, 1), (1012, 1), (1034, 1), (1130, 1), (1377, 1), (1557, 1), (1570, 1), (1596, 1), (1627, 1), (1668, 1), (2066, 1), (2100, 1), (2295, 1), (2348, 1), (2985, 1), (3009, 1), (3264, 1), (4563, 1), (5170, 1), (6090, 1), (6695, 1), (10653, 1), (14815, 1), (18954, 1), (18955, 1), (18956, 1)], [(8, 1), (20, 2), (25, 1), (53, 3), (65, 1), (90, 1), (173, 1), (365, 1), (414, 1), (777, 1), (778, 1), (1656, 1), (1759, 1), (1940, 1), (2303, 1), (5632, 1), (6628, 1), (6992, 1), (11063, 1), (13953, 1), (18957, 1)], [(1, 1), (4, 1), (8, 1), (20, 4), (25, 1), (32, 1), (50, 1), (53, 2), (117, 1), (232, 1), (310, 1), (450, 1), (913, 1), (1068, 1), (1248, 1), (2190, 1), (3694, 1), (5016, 1), (5921, 1), (10752, 1), (13603, 1), (15347, 1), (17273, 1), (18200, 1), (18958, 1)], [(8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (31, 1), (45, 1), (53, 2), (64, 1), (95, 1), (117, 2), (173, 1), (232, 2), (233, 1), (373, 1), (433, 1), (710, 1), (1163, 1), (1270, 1), (1806, 1), (2184, 1), (2361, 1), (2400, 1), (2424, 1), (2707, 1), (2965, 1), (6315, 1), (6633, 1), (8192, 1), (9501, 1), (10623, 1), (12070, 1), (18959, 1)], [(8, 1), (22, 1), (31, 1), (45, 2), (53, 1), (54, 1), (108, 1), (122, 1), (173, 1), (215, 1), (261, 1), (531, 1), (706, 1), (903, 1), (1122, 1), (1308, 1), (1458, 1), (1570, 1), (1600, 1), (5024, 1), (5247, 1), (5738, 1)], [(8, 1), (19, 1), (22, 1), (24, 1), (32, 1), (53, 1), (365, 1), (2911, 1), (5058, 1), (5664, 1), (18960, 1)], [(24, 1), (53, 1), (64, 1), (1178, 1), (3786, 1), (6783, 2)], [(8, 1), (2925, 1), (8103, 1)], [(8, 1), (18, 1), (20, 5), (22, 1), (25, 2), (32, 1), (37, 1), (53, 2), (55, 1), (88, 1), (117, 1), (174, 1), (215, 1), (232, 1), (328, 1), (359, 1), (373, 1), (388, 1), (394, 1), (420, 2), (433, 1), (459, 1), (460, 1), (680, 1), (777, 1), (778, 1), (1122, 2), (1520, 1), (2383, 1), (2911, 1), (4782, 1), (5580, 1), (6315, 1), (6783, 1), (10356, 1), (11063, 1), (14334, 1), (18311, 1), (18961, 1), (18962, 1)], [(8, 1), (22, 1), (31, 1), (53, 1), (54, 1), (117, 1), (166, 1), (232, 1), (268, 1), (365, 1), (625, 1), (645, 1), (833, 1), (1445, 1), (2306, 1), (6315, 1), (9828, 1), (18963, 1)], [(8, 1), (18, 2), (20, 7), (25, 3), (50, 1), (53, 1), (55, 1), (58, 2), (109, 1), (173, 2), (174, 1), (186, 1), (215, 2), (268, 1), (301, 1), (310, 2), (328, 1), (360, 1), (418, 1), (428, 1), (449, 1), (459, 1), (602, 1), (672, 1), (705, 1), (726, 1), (778, 3), (833, 1), (897, 1), (1041, 1), (1057, 1), (1856, 1), (2405, 1), (2406, 1), (2455, 1), (2553, 1), (2795, 1), (4563, 1), (4641, 1), (6007, 1), (6147, 1), (6613, 1), (6695, 1), (6957, 1), (9445, 1), (9842, 1), (14273, 1), (18964, 1), (18965, 1)], [(1, 1), (4, 1), (8, 1), (20, 1), (22, 1), (25, 1), (45, 1), (50, 1), (53, 2), (54, 1), (55, 1), (117, 1), (122, 1), (232, 1), (365, 1), (382, 1), (430, 1), (525, 1), (587, 1), (1088, 1), (1350, 1), (1702, 1), (1806, 1), (9831, 1), (13206, 1), (18966, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (45, 1), (53, 2), (55, 1), (65, 1), (109, 1), (185, 1), (269, 1), (373, 1), (382, 1), (430, 1), (516, 1), (531, 1), (1071, 1), (1249, 1), (1998, 1), (2239, 1), (2358, 1), (2689, 1), (3591, 1), (3782, 1), (4235, 1), (6315, 1), (7305, 1), (7337, 1), (10140, 1), (10544, 1), (11522, 1), (11987, 1), (18967, 1)], [(7, 1), (8, 1), (19, 4), (20, 4), (25, 2), (30, 1), (45, 1), (53, 1), (55, 1), (117, 1), (232, 1), (281, 1), (450, 1), (710, 1), (800, 1), (1462, 1), (1506, 1), (1881, 1), (2157, 1), (2259, 1), (2348, 1), (3537, 1), (3867, 1), (3994, 1), (4282, 1), (6803, 1), (10752, 1), (10753, 1), (11980, 1), (17991, 1)], [(7, 2), (8, 1), (19, 1), (20, 4), (50, 1), (53, 2), (54, 1), (95, 1), (117, 1), (185, 1), (232, 1), (281, 1), (346, 1), (353, 1), (373, 1), (680, 1), (706, 1), (1041, 2), (1122, 1), (1328, 1), (1487, 1), (1529, 1), (1824, 1), (2197, 1), (2977, 1), (3178, 1), (4865, 1), (13038, 1), (16012, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 6), (30, 1), (31, 1), (45, 1), (53, 1), (55, 1), (58, 1), (90, 1), (185, 1), (215, 2), (301, 1), (373, 1), (459, 1), (504, 1), (531, 1), (706, 1), (1071, 1), (1377, 1), (1570, 1), (2546, 1), (5858, 1), (6683, 1), (7866, 1), (8229, 1), (10466, 1), (13102, 1), (15073, 1), (18968, 1), (18969, 1)], [(8, 1), (18, 2), (20, 8), (22, 1), (25, 4), (31, 2), (45, 2), (50, 2), (53, 5), (58, 1), (65, 1), (90, 1), (92, 2), (95, 1), (108, 1), (174, 1), (186, 1), (197, 1), (263, 1), (269, 1), (293, 1), (382, 1), (388, 1), (414, 1), (428, 1), (430, 1), (449, 1), (531, 1), (626, 1), (774, 1), (1010, 1), (1012, 1), (1041, 1), (1088, 1), (1129, 1), (1305, 1), (1557, 1), (1570, 1), (1931, 1), (3100, 1), (3111, 1), (3422, 1), (4282, 1), (4844, 1), (5197, 1), (5717, 1), (5743, 1), (6047, 1), (6352, 1), (8037, 1), (8242, 1), (10641, 1), (15058, 1), (18966, 1), (18970, 1)], [(8, 1), (20, 1), (24, 1), (25, 1), (50, 3), (53, 2), (54, 1), (65, 1), (90, 1), (117, 1), (232, 1), (388, 1), (462, 1), (706, 1), (778, 1), (833, 1), (1088, 1), (2323, 1), (3110, 1), (3125, 1), (5089, 1), (6315, 1), (7988, 1), (15813, 1)], [(8, 1), (18, 1), (32, 1), (53, 2), (60, 1), (185, 1), (215, 1), (359, 1), (756, 1), (1159, 1), (3780, 1), (3798, 1), (6490, 1), (6753, 1), (7416, 1), (10515, 1), (12108, 1), (14947, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (45, 1), (53, 2), (65, 1), (117, 1), (232, 1), (256, 1), (261, 1), (415, 1), (459, 1), (710, 1), (777, 1), (1068, 1), (1129, 1), (1481, 1), (1506, 1), (2707, 1), (3398, 1), (3468, 1), (4074, 1), (6513, 1), (11008, 1), (11980, 1), (13849, 1), (14473, 1), (18971, 1)], [(8, 1), (18, 1), (19, 2), (20, 11), (22, 3), (25, 5), (26, 1), (30, 2), (31, 3), (32, 1), (37, 2), (45, 3), (50, 2), (53, 8), (54, 1), (55, 4), (58, 3), (69, 1), (71, 1), (82, 1), (85, 1), (90, 1), (95, 1), (97, 1), (108, 1), (109, 3), (166, 1), (173, 3), (174, 1), (185, 3), (193, 1), (215, 3), (258, 1), (307, 1), (331, 1), (373, 1), (415, 1), (452, 1), (459, 3), (693, 1), (697, 1), (725, 1), (790, 1), (827, 1), (897, 1), (913, 1), (1041, 1), (1071, 1), (1354, 1), (1376, 1), (1475, 1), (1502, 1), (1529, 2), (1620, 1), (2185, 1), (2239, 1), (2479, 1), (2725, 1), (3025, 1), (3125, 1), (3760, 1), (3776, 1), (4282, 2), (4581, 1), (5417, 1), (5495, 1), (6221, 1), (6315, 1), (6770, 1), (7918, 1), (8002, 1), (10233, 1), (10765, 1), (12059, 1), (12157, 1), (12169, 1), (12485, 1), (12745, 1), (14527, 1), (15975, 1), (17581, 1), (18972, 1), (18973, 1)], [(8, 1), (20, 9), (22, 1), (25, 2), (30, 1), (31, 3), (32, 1), (53, 5), (109, 1), (173, 1), (209, 1), (215, 1), (365, 1), (418, 1), (516, 1), (531, 1), (693, 1), (705, 1), (904, 1), (1088, 1), (1259, 1), (1430, 1), (1458, 1), (1820, 1), (2036, 1), (2239, 1), (2479, 1), (2772, 1), (3017, 1), (3419, 1), (3773, 1), (3776, 1), (3803, 1), (4851, 1), (4941, 1), (4957, 1), (6568, 1), (6615, 1), (10704, 1), (12169, 1), (12196, 1), (12493, 1), (14198, 1), (18840, 1), (18974, 1)], [(8, 1), (19, 4), (20, 3), (25, 1), (53, 5), (65, 1), (91, 1), (193, 1), (710, 1), (1456, 1), (1506, 1), (1703, 1), (1867, 1), (2190, 1), (2716, 1), (3782, 1), (4575, 1), (4941, 1), (6248, 1), (10752, 1), (11673, 1), (12169, 1), (12723, 1), (13381, 1), (13807, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (22, 1), (45, 3), (50, 2), (53, 7), (54, 1), (75, 1), (85, 1), (90, 3), (95, 1), (108, 1), (117, 1), (193, 1), (232, 1), (269, 1), (347, 1), (353, 1), (373, 2), (706, 1), (763, 1), (1342, 1), (1416, 2), (1824, 1), (1867, 1), (2183, 1), (2270, 1), (2359, 1), (2667, 1), (3842, 1), (5659, 1), (6315, 1), (7097, 1), (7446, 1), (11901, 1), (12152, 1), (14198, 1), (18975, 1), (18976, 1), (18977, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 2), (30, 1), (45, 1), (50, 1), (53, 5), (58, 2), (65, 1), (85, 1), (95, 1), (117, 1), (173, 2), (215, 2), (232, 1), (281, 1), (293, 1), (301, 1), (347, 1), (365, 1), (373, 1), (382, 1), (414, 1), (428, 1), (708, 1), (777, 1), (1088, 1), (1308, 1), (1415, 1), (1867, 1), (2772, 1), (3017, 1), (3458, 1), (3783, 1), (4286, 1), (5068, 1), (6459, 1), (7446, 1), (8787, 1), (11742, 1), (18978, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (20, 4), (21, 2), (22, 3), (25, 2), (26, 1), (31, 1), (32, 2), (37, 1), (45, 4), (50, 1), (53, 5), (55, 1), (58, 1), (85, 1), (90, 1), (109, 1), (111, 1), (124, 1), (186, 1), (193, 2), (293, 1), (305, 1), (310, 1), (420, 1), (428, 1), (435, 1), (448, 1), (450, 2), (587, 1), (680, 1), (696, 1), (704, 1), (706, 1), (778, 1), (884, 1), (922, 1), (1010, 1), (1245, 1), (1342, 1), (1557, 1), (1702, 1), (2324, 1), (2432, 1), (2756, 1), (2831, 1), (2985, 1), (3110, 1), (3192, 1), (4563, 1), (5157, 1), (5257, 1), (5273, 1), (6627, 1), (6983, 1), (7013, 1), (7035, 1), (8921, 1), (9106, 1), (9149, 1), (9793, 1), (10127, 1), (10155, 1), (18979, 1), (18980, 1), (18981, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (31, 1), (50, 1), (53, 3), (55, 1), (109, 1), (241, 1), (256, 1), (450, 1), (1041, 1), (1308, 1), (1350, 1), (1585, 1), (4530, 1), (5142, 1), (5157, 1), (5780, 1), (7539, 1), (7552, 1), (7742, 1), (9625, 1), (15262, 1), (18982, 1), (18983, 1)], [(8, 1), (19, 1), (53, 1), (77, 1), (95, 1), (106, 1), (582, 1), (1393, 1), (6213, 1), (7742, 1)], [(8, 1), (10, 1), (11, 1), (19, 1), (20, 2), (25, 1), (31, 1), (50, 1), (53, 2), (65, 3), (72, 1), (90, 1), (95, 1), (109, 1), (122, 1), (186, 1), (310, 1), (503, 1), (827, 1), (1041, 2), (1379, 1), (2056, 1), (2065, 1), (3501, 1), (8079, 1), (9508, 1), (15502, 2), (18984, 1), (18985, 1)], [(8, 1), (25, 1), (30, 1), (53, 1), (71, 1), (95, 1), (185, 1), (188, 1), (203, 1), (239, 1), (407, 1), (454, 1), (582, 1), (639, 1), (830, 1), (9975, 1), (11238, 1), (18986, 1)], [(1, 1), (4, 1), (8, 1), (19, 1), (20, 2), (22, 1), (25, 2), (31, 1), (45, 2), (53, 2), (124, 1), (186, 1), (215, 1), (301, 1), (504, 1), (680, 1), (1100, 1), (1122, 2), (1229, 1), (1374, 1), (1377, 1), (1506, 1), (1627, 1), (1702, 1), (2265, 1), (4286, 1), (4326, 1), (4801, 1), (8791, 1), (11519, 1), (11899, 1), (12108, 1), (12405, 1), (13311, 1), (13824, 1)], [(8, 1), (19, 1), (20, 1), (24, 1), (25, 1), (30, 1), (31, 1), (50, 3), (53, 3), (117, 1), (164, 1), (215, 1), (232, 1), (307, 1), (326, 1), (373, 1), (903, 1), (1021, 1), (1668, 1), (4473, 1), (10446, 1), (12190, 1), (18987, 1), (18988, 1), (18989, 1), (18990, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (22, 1), (25, 1), (29, 1), (31, 2), (50, 3), (53, 4), (54, 1), (90, 1), (95, 1), (97, 1), (117, 2), (166, 1), (173, 1), (182, 1), (202, 1), (215, 1), (232, 2), (260, 1), (278, 1), (289, 1), (427, 1), (516, 1), (601, 1), (623, 1), (661, 1), (687, 1), (706, 1), (744, 1), (1102, 1), (1350, 1), (1702, 1), (1932, 1), (2469, 1), (2515, 1), (3467, 1), (3737, 1), (4116, 1), (4956, 1), (6315, 2), (8542, 1), (12485, 1), (13127, 1), (15009, 1), (15659, 1), (18991, 1)], [(8, 1), (19, 2), (20, 3), (22, 2), (25, 1), (30, 2), (53, 3), (54, 1), (58, 1), (60, 1), (82, 1), (91, 1), (108, 1), (117, 1), (124, 1), (166, 1), (193, 1), (232, 1), (373, 1), (415, 1), (710, 1), (833, 1), (904, 1), (1170, 1), (1506, 1), (1966, 1), (2862, 1), (4549, 1), (7459, 1), (9806, 1), (11980, 1), (12415, 1), (13807, 1), (16631, 1), (18992, 1)], [(8, 1), (20, 2), (25, 1), (40, 1), (53, 2), (54, 1), (65, 1), (90, 1), (91, 1), (117, 1), (173, 2), (232, 1), (281, 1), (286, 1), (293, 2), (353, 1), (756, 1), (903, 1), (2789, 1), (5065, 1), (10515, 1), (10874, 1), (11411, 1), (13835, 1), (15248, 1), (18823, 1), (18993, 1), (18994, 1)], [(7, 1), (8, 1), (19, 2), (20, 4), (22, 2), (25, 1), (31, 1), (37, 1), (50, 1), (53, 5), (71, 1), (82, 1), (90, 2), (108, 1), (166, 1), (195, 1), (327, 1), (331, 1), (415, 1), (428, 1), (711, 2), (743, 1), (904, 1), (913, 1), (1102, 1), (1567, 1), (1570, 1), (1702, 2), (1911, 1), (2320, 1), (3701, 1), (5081, 1), (6315, 1), (6600, 1), (7629, 1), (7962, 1), (9896, 1), (10713, 1), (12953, 1), (13805, 1), (15823, 1), (16565, 1)], [(8, 1), (20, 3), (32, 1), (50, 1), (51, 1), (53, 3), (117, 1), (232, 1), (246, 1), (261, 1), (347, 1), (414, 1), (645, 1), (706, 1), (711, 1), (897, 1), (1068, 1), (2611, 1), (2895, 1), (2986, 1), (3731, 1), (3959, 1), (5169, 1), (10159, 1), (13694, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (20, 4), (22, 2), (25, 3), (30, 2), (31, 1), (32, 1), (37, 1), (53, 6), (54, 1), (90, 2), (108, 1), (109, 3), (117, 1), (185, 1), (217, 1), (232, 1), (256, 1), (281, 1), (293, 1), (310, 1), (317, 1), (347, 2), (365, 1), (414, 2), (460, 1), (680, 1), (709, 1), (1159, 2), (1322, 1), (1342, 1), (1416, 1), (1481, 1), (1732, 1), (2299, 1), (2640, 1), (2648, 1), (3363, 1), (4551, 1), (4612, 1), (6309, 1), (6315, 1), (6794, 1), (7332, 1), (12494, 1), (14062, 1), (14402, 1), (18995, 1)], [(18, 1), (19, 1), (20, 2), (25, 1), (30, 1), (50, 1), (53, 1), (58, 1), (85, 1), (95, 1), (173, 1), (301, 1), (414, 2), (708, 1), (1178, 1), (1458, 1), (3161, 1), (3169, 1), (3176, 1), (3786, 1), (5130, 1), (7093, 1), (7750, 1), (12380, 1), (14402, 1), (17570, 1)], [(8, 1), (20, 1), (22, 1), (24, 1), (25, 1), (45, 1), (53, 2), (95, 1), (109, 1), (117, 1), (186, 1), (232, 1), (459, 1), (778, 1), (1322, 1), (2640, 1), (5247, 1), (5682, 1), (5731, 1), (6129, 1), (10642, 1), (12176, 1), (14706, 1), (16368, 1)], [(8, 1), (19, 1), (20, 1), (53, 2), (173, 1), (209, 1), (708, 1), (913, 1), (1100, 1), (3095, 1), (13056, 1), (14980, 1)], [(8, 1), (18, 1), (19, 1), (20, 5), (22, 1), (25, 1), (26, 1), (31, 2), (37, 1), (45, 2), (50, 4), (53, 3), (55, 1), (65, 1), (108, 1), (117, 4), (173, 1), (174, 1), (232, 4), (261, 1), (269, 1), (373, 2), (392, 1), (428, 1), (516, 1), (778, 1), (792, 1), (1021, 1), (1342, 1), (1487, 1), (1528, 1), (2318, 1), (2653, 1), (2795, 1), (3422, 1), (3860, 1), (4432, 1), (4598, 1), (5384, 1), (5712, 1), (5775, 1), (5917, 1), (6315, 1), (7295, 2), (8439, 1), (10187, 1), (12190, 1), (12791, 1), (15323, 1), (18996, 1), (18997, 1), (18998, 1)], [(8, 1), (20, 2), (30, 1), (85, 1), (109, 2), (208, 1), (215, 1), (426, 1), (2161, 1), (2165, 1), (5586, 1), (11290, 1), (17625, 1), (18999, 1)], [(8, 1), (45, 1), (50, 1), (53, 1), (58, 1), (124, 1), (185, 1), (256, 1), (289, 1), (293, 1), (301, 1), (792, 1), (2020, 1), (5269, 1), (19000, 1), (19001, 1)], [(8, 1), (19, 1), (20, 2), (50, 1), (53, 1), (92, 1), (117, 2), (232, 2), (269, 1), (275, 1), (290, 1), (313, 1), (334, 1), (338, 1), (359, 1), (531, 1), (600, 1), (834, 1), (1570, 1), (1571, 1), (2985, 1), (3980, 1), (4561, 1), (9535, 1), (9755, 1), (10996, 1), (15472, 1), (17115, 1), (19002, 1), (19003, 1)], [(8, 1), (18, 1), (20, 6), (22, 2), (31, 3), (50, 3), (53, 2), (58, 1), (65, 1), (108, 1), (186, 1), (260, 1), (269, 1), (293, 1), (313, 1), (331, 1), (353, 1), (450, 2), (504, 1), (505, 1), (507, 1), (744, 1), (834, 1), (1040, 1), (1102, 1), (1129, 1), (1342, 1), (1702, 1), (2545, 1), (2985, 1), (3700, 1), (4249, 1), (4910, 1), (5236, 1), (5360, 1), (7594, 1), (9288, 1), (11587, 1), (12425, 1), (12713, 1), (17222, 1), (19004, 1), (19005, 1), (19006, 1), (19007, 1), (19008, 1)], [(20, 2), (24, 1), (25, 1), (58, 1), (64, 1), (77, 1), (233, 1), (269, 1), (414, 1), (697, 1), (946, 1), (1069, 1), (1163, 1), (1198, 1), (1350, 1), (1694, 1), (2259, 1), (3214, 1), (6315, 1), (6983, 1), (9097, 1), (19009, 1)], [(8, 1), (20, 3), (22, 1), (54, 1), (58, 3), (64, 1), (77, 1), (82, 1), (108, 1), (185, 1), (233, 1), (949, 1), (1163, 1), (3025, 1), (4939, 1), (7295, 1), (9040, 1)], [(58, 1), (64, 1), (161, 1), (307, 1), (506, 1), (600, 1), (946, 1), (1902, 1), (4758, 1), (11988, 1)], [(20, 6), (25, 1), (64, 1), (66, 1), (214, 1), (226, 1), (328, 1), (336, 1), (404, 1), (418, 1), (459, 1), (600, 1), (949, 1), (1248, 1), (1902, 1), (2872, 3), (10752, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (23, 1), (64, 1), (117, 1), (232, 1), (506, 1), (645, 1), (658, 1), (800, 1), (1177, 1), (2178, 1), (2633, 1), (19010, 1)], [(20, 2), (23, 1), (30, 1), (34, 1), (241, 1), (247, 1), (293, 1)], [(247, 1), (328, 1)], [(247, 1), (328, 1)], [(18, 1), (19, 1), (22, 1), (96, 1), (109, 1), (247, 1), (506, 1), (708, 1), (1380, 1), (1702, 1), (1764, 1), (3786, 1), (6633, 1), (7212, 1), (8814, 1)], [(24, 1), (31, 1), (117, 1), (186, 1), (232, 1), (247, 1), (442, 1), (1458, 1), (4353, 1), (4767, 1), (6315, 1), (17284, 1)], [(22, 2), (53, 2), (85, 1), (752, 1), (1178, 1), (4533, 1), (10752, 1), (18188, 1)], [(7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (25, 1), (53, 2), (55, 1), (65, 1), (72, 1), (77, 4), (90, 2), (96, 1), (122, 1), (186, 1), (195, 1), (373, 3), (420, 1), (608, 1), (827, 1), (1041, 1), (1197, 1), (1506, 1), (1820, 1), (2077, 1), (2253, 1), (2265, 1), (2392, 1), (2912, 1), (3300, 1), (3469, 1), (3756, 1), (10752, 1), (19011, 1)], [(8, 1), (32, 1), (54, 1), (122, 1), (1820, 1)], [(8, 1), (18, 4), (19, 1), (20, 8), (22, 3), (31, 1), (32, 1), (45, 1), (50, 2), (53, 6), (55, 1), (65, 1), (82, 2), (90, 1), (95, 1), (97, 1), (108, 2), (161, 1), (166, 1), (172, 1), (173, 1), (174, 1), (193, 1), (197, 1), (206, 1), (266, 1), (269, 2), (285, 1), (293, 1), (301, 1), (373, 1), (387, 1), (414, 1), (448, 1), (504, 2), (531, 2), (602, 1), (679, 1), (744, 1), (792, 1), (903, 1), (947, 1), (1026, 1), (1308, 1), (1487, 1), (1506, 1), (1911, 1), (2102, 1), (2120, 1), (2253, 1), (2393, 1), (2828, 2), (3037, 1), (3256, 1), (4591, 1), (4619, 2), (5434, 1), (5704, 1), (7157, 1), (7822, 1), (8918, 1), (9490, 1), (11879, 1), (11987, 1), (13694, 1), (15498, 1), (19011, 1), (19012, 1), (19013, 1)], [(8, 1), (20, 3), (24, 1), (50, 1), (53, 2), (58, 1), (215, 1), (275, 1), (407, 1), (709, 1), (897, 1), (1392, 1), (2253, 1), (4465, 1), (4580, 1), (5545, 1), (6688, 1), (16230, 1), (19014, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (19, 2), (20, 5), (21, 2), (22, 1), (25, 4), (31, 1), (32, 1), (50, 3), (53, 6), (55, 1), (58, 1), (65, 3), (108, 1), (186, 2), (217, 1), (310, 1), (353, 1), (373, 1), (418, 1), (450, 1), (459, 1), (516, 1), (531, 1), (632, 1), (897, 1), (913, 1), (1012, 1), (1037, 1), (1159, 4), (1229, 1), (1260, 1), (1498, 1), (1627, 1), (2137, 1), (2199, 1), (3300, 1), (3501, 1), (4109, 1), (4286, 1), (4736, 1), (5749, 1), (5921, 1), (5923, 1), (6129, 1), (6633, 1), (10803, 1), (11030, 1), (11952, 1), (13311, 1), (14574, 1), (19015, 1), (19016, 1), (19017, 1)], [(20, 7), (22, 1), (25, 2), (31, 1), (32, 1), (45, 1), (46, 1), (50, 1), (53, 8), (54, 2), (65, 2), (71, 1), (75, 1), (77, 1), (88, 1), (95, 1), (109, 1), (117, 1), (170, 1), (173, 1), (215, 2), (232, 1), (240, 1), (285, 2), (293, 1), (310, 1), (317, 1), (420, 1), (824, 1), (897, 1), (1342, 1), (1481, 1), (1627, 1), (1714, 1), (1718, 1), (1731, 1), (2030, 1), (2064, 1), (2077, 1), (2343, 1), (2344, 1), (2359, 1), (2361, 1), (2689, 1), (2928, 1), (3010, 1), (5224, 1), (5368, 1), (6315, 1), (7587, 1), (8517, 1), (8814, 1), (10088, 1), (16880, 1), (18918, 1), (19018, 1), (19019, 1), (19020, 1)], [(30, 1), (34, 1), (117, 1), (295, 1), (467, 1), (946, 1)], [(20, 2), (25, 1), (53, 1), (54, 1), (247, 1), (504, 1), (949, 1), (1165, 1), (6574, 1)], [(8, 1), (19, 2), (30, 1), (45, 1), (91, 1), (173, 1), (3867, 1), (4599, 1), (9394, 1), (9694, 1)], [(8, 1), (20, 2), (22, 2), (25, 1), (32, 1), (53, 2), (185, 1), (306, 1), (359, 1), (361, 1), (414, 1), (697, 1), (1718, 1), (2638, 1), (2753, 1), (5063, 1), (5525, 1), (6315, 1), (7447, 1)], [(8, 1), (18, 2), (19, 6), (20, 8), (21, 1), (22, 1), (25, 2), (45, 2), (53, 2), (54, 1), (65, 1), (91, 1), (97, 1), (111, 2), (173, 2), (193, 1), (197, 1), (209, 1), (217, 1), (229, 1), (268, 1), (269, 1), (281, 1), (306, 1), (328, 1), (347, 1), (373, 1), (600, 1), (710, 1), (752, 1), (990, 1), (1071, 1), (1328, 1), (1702, 2), (1718, 1), (1820, 2), (2019, 1), (2064, 1), (2075, 1), (2324, 1), (2716, 1), (3110, 1), (3446, 1), (3709, 1), (4715, 1), (5011, 1), (5072, 1), (5409, 1), (5896, 1), (5986, 1), (6918, 1), (8201, 1), (9546, 1), (9620, 1), (11430, 1), (12367, 1), (13311, 1), (13312, 1), (15122, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (31, 1), (32, 1), (50, 1), (51, 1), (53, 1), (58, 1), (65, 1), (117, 1), (173, 1), (185, 1), (190, 1), (215, 2), (232, 1), (275, 1), (293, 1), (307, 1), (328, 1), (448, 1), (531, 1), (645, 1), (744, 1), (745, 1), (752, 1), (777, 2), (1262, 1), (2222, 1), (2286, 1), (2344, 1), (2359, 1), (2828, 1), (2977, 1), (3585, 1), (4214, 1), (4575, 1), (4581, 1), (7227, 1), (19021, 1)], [(18, 1), (19, 1), (20, 7), (22, 3), (24, 1), (25, 3), (30, 1), (31, 1), (45, 3), (53, 2), (58, 1), (82, 1), (117, 1), (173, 1), (186, 1), (229, 1), (232, 1), (247, 1), (278, 1), (382, 1), (726, 1), (949, 1), (1102, 1), (1198, 1), (1499, 1), (1569, 1), (1594, 1), (1820, 1), (1904, 1), (2184, 1), (2384, 1), (2515, 1), (3305, 1), (4632, 1), (6568, 1), (7295, 1), (7859, 1), (8008, 1), (8478, 1), (8482, 1), (10818, 1), (11673, 1), (11889, 1), (12984, 1), (14567, 1), (19022, 1), (19023, 1), (19024, 1)], [(1178, 1), (2384, 1)], [(18, 1), (64, 1), (77, 1), (90, 1), (185, 1), (307, 1), (387, 1), (596, 1), (1714, 1), (4850, 1), (11673, 1), (19025, 1)], [(20, 1), (247, 1), (645, 1), (5358, 1)], [(8, 1), (10, 1), (11, 1), (18, 1), (23, 2), (25, 1), (82, 1), (166, 1), (215, 2), (245, 1), (357, 1), (792, 1), (999, 1), (3034, 1), (4146, 1), (5857, 1), (6492, 1), (9909, 1), (16535, 1), (18065, 1)], [(18, 1), (66, 1), (71, 1), (307, 1), (743, 1), (1911, 1), (2030, 1), (3918, 1), (11673, 1), (19026, 1)], [(18, 1), (20, 3), (22, 1), (25, 1), (64, 1), (66, 1), (233, 1), (269, 1), (531, 2), (707, 1), (949, 1), (1163, 1), (1176, 1), (1563, 1), (1668, 1), (3525, 1), (3542, 1), (4592, 1), (4939, 1), (7286, 1), (9153, 1)], [(64, 1), (1714, 1), (19027, 1)], [(53, 1), (247, 1), (1683, 1), (9153, 1), (17388, 1)], [(19, 2), (20, 2), (22, 1), (25, 1), (51, 1), (53, 1), (82, 1), (117, 1), (190, 1), (247, 1), (342, 1), (450, 1), (531, 1), (645, 1), (691, 1), (711, 1), (869, 1), (886, 2), (1481, 1), (2545, 1), (2633, 1), (4060, 2), (4224, 1), (4455, 1), (5158, 1), (17855, 1), (19028, 1), (19029, 1)], [(20, 2), (22, 3), (25, 3), (37, 1), (45, 1), (50, 2), (53, 3), (70, 1), (77, 2), (168, 1), (214, 2), (247, 1), (269, 1), (295, 1), (387, 1), (399, 1), (418, 2), (600, 1), (1091, 1), (1911, 2), (2545, 1), (2583, 1), (2686, 1), (2774, 1), (4360, 1), (6315, 1), (6517, 1), (7286, 2), (7295, 2), (9590, 1), (15122, 1), (19030, 1)], [(20, 1), (21, 1), (23, 1), (32, 1), (1347, 1), (1714, 1), (2275, 1), (3786, 1), (7687, 1), (19031, 1)], [(247, 1), (328, 1), (14079, 1)], [(30, 1), (34, 1), (117, 1), (295, 1), (467, 1), (1714, 1)], [(18, 1), (20, 1), (85, 1), (108, 1), (173, 1), (197, 1), (1102, 1), (1178, 1), (1341, 1), (1760, 1), (2077, 1), (2744, 1), (8814, 2)], [(8, 1), (22, 1), (24, 1), (45, 1), (50, 1), (53, 1), (54, 2), (361, 1), (1241, 1), (1308, 1), (3181, 1), (8146, 1), (10264, 1), (11277, 1), (19032, 1)], [(8, 1), (20, 2), (53, 1), (54, 1), (58, 1), (65, 1), (69, 1), (85, 1), (256, 1), (600, 1), (979, 1), (1170, 1), (1702, 1), (2276, 1), (5169, 1), (19033, 1)], [(8, 1), (18, 1), (20, 1), (32, 1), (34, 1), (53, 2), (64, 1), (109, 1), (117, 1), (278, 1), (759, 1), (824, 1), (949, 1), (1010, 1), (1902, 1), (2276, 1), (2299, 1), (2540, 1), (2925, 1), (8814, 1)], [(64, 1), (182, 1), (420, 1), (946, 1), (1347, 1), (2344, 1), (11945, 1)], [(19, 1), (20, 1), (64, 1), (66, 1), (209, 1), (307, 1), (949, 1), (1720, 1), (1932, 1), (6633, 1)], [(64, 1), (247, 1), (3642, 1)], [(8, 1), (32, 1), (117, 1), (173, 1), (190, 1), (1176, 1), (1224, 1), (1841, 1), (19034, 1)], [(8, 2), (20, 1), (25, 1), (65, 2), (1195, 1), (3540, 1), (4519, 1), (5921, 1), (7286, 1), (8465, 1), (10803, 1), (12375, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (22, 1), (25, 1), (30, 1), (32, 1), (65, 1), (82, 1), (117, 1), (173, 1), (203, 1), (232, 1), (307, 1), (316, 1), (742, 1), (751, 1), (777, 1), (830, 1), (1043, 1), (1529, 1), (2926, 1), (7341, 1)], [(247, 1), (328, 1), (18920, 1)], [(53, 1), (247, 1), (263, 1), (307, 1), (754, 1), (1159, 1), (2515, 1), (3786, 1), (14079, 1)], [(8, 1), (310, 1), (702, 1), (1195, 1), (3786, 1)], [(18, 1), (19, 1), (20, 2), (25, 1), (34, 1), (53, 1), (58, 1), (65, 1), (66, 1), (75, 1), (317, 1), (706, 1), (1057, 1), (1262, 1), (1435, 1), (2066, 1), (2926, 1), (7295, 1), (7587, 1)], [(20, 7), (21, 1), (22, 3), (23, 3), (25, 2), (30, 2), (31, 1), (37, 1), (50, 2), (53, 4), (58, 2), (65, 1), (71, 2), (77, 3), (90, 2), (108, 1), (117, 1), (173, 1), (185, 2), (226, 1), (232, 1), (247, 1), (256, 1), (281, 1), (292, 4), (295, 2), (317, 1), (361, 2), (399, 1), (414, 1), (433, 1), (461, 1), (498, 1), (504, 1), (645, 1), (756, 1), (763, 1), (893, 1), (897, 2), (1041, 1), (1042, 1), (1057, 1), (1198, 1), (1458, 1), (1760, 1), (2157, 1), (2249, 1), (2495, 1), (2744, 1), (3980, 1), (4165, 2), (5085, 1), (6284, 1), (6476, 1), (8069, 1), (9918, 1), (9919, 1), (10515, 1), (14884, 1), (16880, 1)], [(20, 1), (32, 1), (53, 1), (77, 1), (949, 1), (1178, 1), (2064, 1), (3786, 1), (4386, 1), (13980, 1)], [(8, 1), (19, 1), (20, 4), (25, 1), (34, 1), (45, 1), (53, 2), (173, 1), (193, 1), (288, 1), (293, 1), (328, 1), (331, 1), (388, 1), (414, 1), (420, 1), (697, 1), (725, 1), (1057, 1), (1224, 1), (1350, 1), (1377, 2), (2296, 1), (3091, 1), (3446, 1), (5368, 1), (5409, 1), (5525, 1), (7205, 1), (7236, 1), (18798, 1), (19035, 1)], [(1544, 1), (19036, 1)], [(8, 1), (21, 1), (24, 1), (6974, 1), (11247, 1), (18901, 1)], [(8, 1), (20, 1), (53, 1), (65, 2), (317, 1), (361, 1), (459, 1), (1248, 1), (1481, 1), (2359, 1), (3189, 1), (4301, 1), (7587, 1), (19037, 1)], [(30, 1), (34, 1), (64, 1), (117, 1), (295, 1), (467, 1), (946, 1)], [(8, 1), (18, 1), (19, 1), (53, 1), (108, 1), (337, 1), (884, 1), (2365, 1), (2866, 1), (2925, 1), (5986, 1), (6315, 1), (12799, 1)], [(20, 1), (64, 1), (66, 1), (527, 1), (949, 1), (4706, 1)], [(25, 1), (37, 1), (64, 1), (186, 1), (247, 1), (752, 1), (885, 1), (1354, 1), (10107, 1)], [(8, 1), (20, 1), (23, 1), (37, 1), (53, 1), (65, 1), (108, 1), (172, 1), (173, 1), (217, 1), (236, 1), (414, 1), (711, 1), (743, 1), (833, 1), (1159, 1), (1224, 1), (1902, 1), (2466, 1), (3540, 1), (3786, 1), (4390, 1), (4519, 1), (5921, 1), (11571, 1), (14409, 1)], [(53, 1), (66, 1), (108, 1), (256, 1), (268, 1), (301, 1), (1176, 1), (1196, 1), (4624, 1), (4854, 1), (4937, 1)], [(7, 1), (8, 1), (18, 1), (20, 4), (25, 1), (31, 1), (50, 1), (53, 1), (58, 1), (71, 1), (77, 1), (90, 1), (92, 2), (95, 1), (185, 1), (233, 1), (268, 1), (269, 1), (325, 1), (361, 2), (365, 1), (387, 1), (428, 2), (1224, 2), (1509, 1), (1597, 1), (3342, 1), (3469, 1), (4073, 1), (4465, 1), (6724, 1), (19038, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 7), (22, 1), (25, 1), (31, 1), (45, 1), (50, 4), (53, 4), (77, 1), (85, 1), (90, 2), (95, 1), (97, 1), (108, 1), (109, 1), (173, 1), (190, 2), (215, 2), (240, 1), (286, 1), (334, 1), (399, 1), (420, 1), (448, 1), (526, 1), (570, 1), (661, 1), (711, 1), (744, 1), (1172, 1), (1342, 1), (1361, 1), (1487, 1), (1529, 1), (1668, 1), (1961, 1), (2120, 1), (2344, 1), (2479, 1), (2553, 1), (2914, 1), (3557, 1), (4551, 1), (4739, 1), (5825, 1), (5942, 1), (6347, 1), (6416, 1), (6711, 1), (7157, 1), (7304, 1), (9352, 1), (10786, 1), (15507, 1), (15687, 1), (16160, 1), (19039, 1), (19040, 1), (19041, 1), (19042, 1)], [(7, 1), (8, 1), (18, 2), (19, 6), (20, 18), (22, 2), (25, 3), (30, 1), (31, 2), (45, 2), (50, 4), (53, 12), (55, 1), (69, 1), (71, 1), (74, 1), (77, 2), (92, 2), (95, 1), (97, 1), (108, 1), (117, 2), (124, 1), (173, 2), (185, 1), (193, 3), (206, 1), (215, 4), (232, 2), (240, 1), (246, 1), (256, 1), (293, 1), (331, 1), (337, 1), (392, 1), (410, 1), (420, 2), (448, 1), (453, 1), (516, 1), (791, 2), (827, 1), (897, 1), (902, 1), (1224, 1), (1229, 1), (1287, 1), (1458, 1), (1463, 1), (1521, 1), (1594, 1), (1665, 1), (1668, 1), (1747, 1), (1779, 1), (1784, 1), (1909, 1), (1971, 1), (2172, 1), (2283, 1), (2681, 1), (2757, 1), (2772, 1), (2774, 1), (2861, 1), (2983, 1), (3052, 1), (3478, 1), (3539, 1), (3646, 1), (3661, 1), (3726, 1), (3804, 1), (3907, 3), (4210, 1), (4296, 1), (4500, 1), (5204, 1), (5367, 1), (5405, 1), (6205, 1), (6543, 1), (6866, 1), (7061, 1), (7069, 1), (9755, 2), (10069, 1), (15476, 1), (17543, 1), (19043, 1), (19044, 1)], [(8, 1), (18, 2), (19, 2), (20, 3), (31, 1), (37, 1), (50, 1), (53, 2), (77, 1), (90, 1), (117, 1), (185, 1), (215, 2), (232, 1), (240, 1), (241, 1), (387, 1), (405, 1), (570, 1), (680, 1), (1229, 1), (1732, 1), (2823, 1), (5816, 1), (7061, 1), (7857, 1), (7884, 1), (9609, 1), (17009, 1), (19045, 1), (19046, 1)], [(8, 1), (18, 2), (19, 2), (20, 10), (22, 3), (25, 2), (31, 2), (45, 2), (46, 1), (50, 6), (53, 6), (55, 1), (58, 1), (69, 1), (77, 1), (90, 4), (95, 1), (111, 5), (117, 1), (170, 1), (172, 2), (185, 2), (186, 1), (190, 3), (193, 1), (197, 1), (206, 1), (210, 2), (214, 1), (215, 2), (228, 1), (232, 1), (260, 1), (273, 2), (293, 3), (310, 1), (328, 1), (331, 1), (338, 1), (410, 1), (415, 1), (418, 1), (420, 1), (450, 1), (531, 1), (600, 1), (620, 1), (678, 1), (744, 4), (828, 1), (904, 1), (1041, 1), (1133, 1), (1240, 1), (1342, 2), (1354, 1), (1642, 1), (1665, 1), (2361, 1), (2455, 1), (2734, 1), (2914, 1), (3494, 1), (4616, 1), (4674, 1), (5089, 1), (5100, 1), (5828, 1), (6423, 1), (6436, 1), (7138, 1), (7808, 2), (7887, 1), (8024, 1), (8243, 1), (8456, 1), (9260, 1), (9792, 1), (11412, 1), (17133, 1), (19047, 1)], [(18, 1), (19, 2), (20, 1), (22, 1), (25, 2), (30, 1), (31, 1), (37, 1), (45, 1), (50, 1), (53, 6), (65, 1), (71, 1), (77, 2), (90, 1), (96, 1), (108, 1), (109, 1), (111, 1), (117, 1), (173, 1), (185, 1), (193, 1), (203, 1), (232, 1), (301, 1), (365, 1), (570, 1), (754, 1), (1090, 1), (1248, 1), (1714, 1), (1734, 1), (2075, 1), (2127, 1), (2272, 1), (2862, 1), (3224, 1), (3413, 1), (4296, 1), (4879, 1), (6732, 1), (11236, 1), (13030, 1), (13380, 1), (13410, 1), (19048, 1), (19049, 1)], [(8, 1), (20, 1), (50, 1), (53, 1), (109, 1), (187, 1), (205, 1), (206, 1), (214, 1), (228, 1), (237, 1), (2253, 1), (5760, 1), (11333, 1), (11799, 1), (19050, 1)], [(8, 1), (18, 3), (20, 2), (22, 1), (24, 1), (25, 1), (31, 1), (53, 2), (65, 2), (78, 1), (186, 1), (215, 1), (365, 1), (414, 1), (420, 1), (709, 1), (744, 1), (1459, 1), (3356, 1), (4787, 1), (5551, 1), (6844, 1), (7501, 1), (8460, 1), (8640, 1), (19051, 1), (19052, 1), (19053, 1)], [(25, 1), (64, 1), (639, 1), (1178, 1), (1914, 1), (12416, 1)], [(8, 1), (20, 1), (25, 1), (29, 1), (50, 1), (53, 2), (64, 1), (117, 1), (185, 1), (186, 1), (193, 1), (232, 1), (256, 1), (269, 1), (582, 1), (1766, 1), (2064, 1), (2789, 1), (2925, 1), (7295, 1), (19054, 1), (19055, 1)], [(20, 1), (23, 1), (25, 1), (106, 1), (214, 1), (247, 1), (418, 1), (709, 1), (2379, 1), (2384, 1), (3786, 1), (4078, 1), (4146, 1)], [(7, 1), (20, 3), (25, 1), (53, 1), (65, 2), (88, 1), (108, 1), (186, 1), (247, 1), (269, 1), (365, 1), (414, 1), (506, 2), (757, 1), (1932, 1), (3476, 1), (4179, 1), (10472, 1), (14764, 1), (19056, 1)], [(8, 1), (18, 1), (117, 1), (232, 1), (1580, 1), (7463, 1), (10472, 1)], [(20, 1), (247, 1), (2379, 1), (2384, 1)], [(53, 1), (57, 1), (90, 1), (268, 1), (287, 1), (419, 1), (686, 1), (1178, 1), (1758, 1), (17999, 1)], [(21, 1), (64, 1), (351, 1), (970, 1), (1178, 1), (1321, 3), (1322, 3), (3786, 2), (7208, 1)], [(8, 1), (32, 1), (53, 1), (54, 1), (65, 1), (317, 1), (706, 1), (3020, 1)], [(20, 1), (64, 1), (1178, 1), (4390, 1), (4939, 1)], [(20, 2), (21, 2), (23, 1), (25, 1), (58, 1), (64, 1), (95, 1), (117, 1), (247, 1), (295, 1), (324, 1), (414, 1), (581, 1), (759, 1), (1644, 1), (2925, 1), (4942, 1), (5081, 1), (7295, 1), (7466, 1), (7688, 1), (8814, 1)], [(53, 1), (77, 1), (247, 1), (295, 1), (337, 1), (1377, 1), (3221, 1), (12796, 1)], [(18, 1), (20, 1), (21, 1), (45, 1), (53, 1), (190, 1), (215, 1), (281, 1), (324, 3), (660, 1), (708, 1), (1021, 1), (1178, 1), (1897, 1), (2997, 1), (3786, 1), (5764, 1), (6315, 1), (7466, 1), (19057, 1), (19058, 1), (19059, 1), (19060, 1)], [(8, 1), (37, 1), (85, 1), (90, 1), (108, 1), (240, 1), (256, 1), (331, 1), (792, 1), (886, 1), (1506, 1), (1732, 1), (7295, 1)], [(7, 1), (8, 1), (20, 1), (24, 1), (50, 1), (51, 1), (53, 1), (91, 1), (185, 1), (186, 1), (284, 1), (347, 1), (516, 1), (1342, 1), (2253, 1), (8031, 1), (12185, 2), (18523, 1), (19061, 1)], [(8, 1), (20, 3), (22, 1), (25, 2), (32, 1), (33, 1), (37, 1), (50, 3), (53, 2), (82, 1), (85, 1), (90, 1), (91, 1), (92, 1), (172, 1), (186, 1), (206, 1), (215, 1), (256, 1), (307, 2), (414, 1), (432, 1), (448, 1), (459, 2), (601, 1), (711, 1), (1308, 1), (1617, 1), (1668, 1), (1977, 1), (2466, 1), (2716, 1), (3331, 1), (3744, 1), (4004, 1), (5804, 1), (6315, 1), (10046, 1), (12782, 1), (13612, 1), (15901, 1), (18181, 1), (19062, 1), (19063, 1)], [(7, 2), (8, 1), (20, 4), (22, 4), (24, 1), (25, 1), (31, 1), (37, 2), (50, 3), (53, 5), (75, 1), (97, 1), (117, 1), (206, 1), (232, 1), (313, 1), (347, 1), (361, 1), (433, 1), (450, 3), (459, 1), (487, 1), (627, 1), (697, 1), (1041, 1), (1224, 1), (1667, 1), (2162, 1), (2168, 1), (2239, 1), (2348, 1), (2383, 1), (2543, 1), (2812, 1), (3763, 1), (4603, 1), (5090, 1), (5360, 1), (8029, 1), (8035, 1), (11314, 1), (11937, 1), (12192, 1), (12825, 1), (14495, 1), (19064, 1)], [(7, 1), (8, 1), (19, 1), (20, 1), (22, 1), (24, 1), (25, 1), (50, 2), (53, 3), (90, 2), (91, 1), (97, 1), (185, 1), (215, 1), (293, 1), (334, 1), (353, 1), (414, 1), (450, 1), (488, 1), (754, 1), (903, 1), (1385, 1), (2088, 1), (3468, 1), (4500, 1), (4903, 1), (5921, 1), (9301, 1), (9494, 1), (10984, 1), (12037, 1), (19065, 1)], [(8, 1), (20, 1), (82, 1), (269, 1), (459, 1), (530, 1), (607, 1), (645, 1)], [(7, 1), (8, 1), (19, 2), (20, 11), (21, 2), (22, 4), (25, 8), (31, 1), (37, 6), (50, 2), (53, 5), (54, 1), (58, 1), (90, 3), (91, 1), (97, 2), (117, 2), (174, 1), (185, 1), (206, 1), (215, 1), (232, 2), (260, 1), (269, 3), (286, 1), (293, 1), (329, 1), (414, 1), (415, 1), (428, 2), (450, 1), (459, 2), (487, 1), (645, 2), (697, 1), (709, 1), (739, 1), (792, 1), (924, 1), (1041, 1), (1102, 1), (1129, 1), (1287, 1), (1506, 1), (1528, 1), (1817, 1), (1824, 1), (2140, 1), (2479, 1), (2734, 1), (2739, 1), (2962, 1), (2978, 1), (3582, 1), (3611, 1), (3955, 1), (5153, 1), (6165, 1), (6315, 1), (7463, 2), (7881, 1), (7940, 1), (8364, 1), (8948, 1), (9776, 1), (11308, 1), (11660, 2), (12379, 1), (12416, 1), (18043, 1), (19066, 1), (19067, 1), (19068, 1), (19069, 1)], [(8, 1), (24, 1), (1698, 1), (5524, 1)], [(8, 1), (20, 2), (24, 1), (25, 1), (50, 1), (53, 1), (55, 1), (65, 1), (317, 1), (459, 1), (516, 1), (1481, 1), (1766, 1), (2434, 1), (2704, 1), (3468, 1), (3479, 1), (16930, 1), (19070, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (22, 2), (25, 1), (31, 1), (37, 1), (50, 1), (53, 4), (55, 2), (75, 1), (83, 1), (85, 1), (108, 1), (109, 1), (261, 1), (263, 1), (269, 1), (414, 1), (415, 1), (448, 1), (450, 2), (460, 1), (1227, 1), (1348, 1), (1965, 1), (2258, 1), (2855, 1), (4193, 1), (4383, 1), (5089, 1), (5204, 1), (5259, 1), (7151, 1), (9851, 1), (10447, 1), (10728, 1), (16400, 1), (19071, 1), (19072, 1), (19073, 1)], [(247, 1), (2058, 1)], [(19, 1), (53, 1), (85, 1), (90, 2), (91, 1), (92, 1), (247, 1), (288, 1), (387, 1), (601, 1), (711, 1), (1702, 1), (3776, 1), (4082, 1), (7480, 1), (8051, 1), (19074, 1)], [(20, 1), (30, 2), (34, 1), (64, 1), (82, 1), (85, 1), (108, 1), (295, 2), (504, 1), (946, 1), (1113, 1), (1845, 1)], [(8, 1), (20, 3), (50, 1), (53, 2), (124, 1), (217, 1), (268, 1), (337, 1), (347, 1), (420, 1), (448, 1), (605, 1), (763, 1), (2030, 1), (2925, 1), (3020, 1), (3022, 1), (6315, 1), (15357, 1)], [(1, 1), (4, 1), (20, 2), (22, 2), (25, 1), (64, 1), (66, 1), (82, 1), (90, 1), (172, 1), (186, 1), (217, 1), (269, 1), (295, 1), (506, 1), (600, 1), (697, 1), (897, 1), (2428, 1), (3657, 1), (4914, 1), (7244, 1), (9360, 1), (19075, 1)], [(8, 1), (19, 2), (20, 4), (22, 3), (31, 1), (45, 1), (50, 1), (53, 7), (54, 2), (55, 1), (65, 2), (90, 1), (95, 1), (108, 2), (122, 1), (173, 1), (215, 2), (260, 1), (293, 1), (347, 2), (353, 1), (387, 1), (414, 1), (415, 1), (420, 1), (448, 1), (450, 1), (531, 1), (600, 1), (853, 1), (1010, 1), (1041, 1), (1392, 1), (1477, 1), (1540, 1), (1627, 1), (1889, 1), (2064, 1), (2362, 1), (3391, 1), (3670, 2), (4400, 1), (5089, 1), (6315, 1), (7402, 1), (8814, 1), (9694, 1), (9978, 1), (12170, 1), (15041, 1), (19076, 1), (19077, 1), (19078, 1), (19079, 1), (19080, 1)], [(1, 1), (4, 1), (18, 1), (19, 1), (20, 2), (21, 2), (24, 1), (50, 2), (53, 3), (54, 1), (215, 1), (239, 1), (247, 1), (289, 1), (428, 1), (607, 1), (709, 1), (833, 2), (1160, 1), (1897, 1), (2030, 1), (2184, 1), (2428, 1), (4097, 1), (4116, 1), (5384, 1), (6332, 1), (6791, 1), (7208, 1), (13179, 1), (14229, 1), (19081, 1)], [(7, 3), (8, 1), (20, 1), (22, 2), (25, 1), (31, 1), (32, 1), (45, 2), (50, 2), (53, 3), (82, 2), (90, 1), (124, 1), (161, 1), (256, 1), (286, 1), (580, 1), (706, 1), (756, 1), (792, 1), (1348, 1), (1466, 1), (1502, 1), (1880, 1), (5816, 1), (5949, 1), (7875, 1), (7921, 1), (10515, 1), (11230, 1), (12021, 1), (15541, 1), (19082, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (25, 2), (45, 3), (50, 3), (53, 4), (55, 1), (109, 1), (124, 1), (186, 1), (321, 1), (427, 1), (428, 1), (525, 1), (756, 1), (1010, 1), (1026, 1), (1077, 1), (1240, 1), (1245, 1), (1253, 1), (1820, 1), (2067, 1), (2184, 1), (3003, 1), (3700, 1), (4439, 1), (4641, 1), (4968, 1), (6469, 1), (10594, 1), (10699, 1), (10995, 1), (16344, 1)], [(8, 1), (20, 4), (22, 1), (31, 1), (45, 2), (50, 1), (53, 1), (77, 1), (173, 1), (185, 1), (359, 1), (435, 1), (448, 1), (708, 1), (834, 1), (1247, 1), (1470, 1), (2039, 1), (2757, 1), (6034, 1), (7899, 1), (7912, 1), (11085, 1), (17548, 1), (19082, 1)], [(64, 1), (247, 1), (351, 1), (1322, 1), (1340, 1)], [(328, 1), (1178, 1), (1322, 1), (1340, 1)], [(8, 1), (19, 1), (20, 1), (31, 1), (45, 1), (53, 2), (54, 1), (65, 1), (215, 1), (516, 1), (756, 1), (1377, 1), (2469, 1), (3020, 1), (4975, 1), (10515, 1), (18254, 1), (19083, 1), (19084, 1)], [(8, 1), (18, 2), (19, 1), (20, 5), (22, 1), (25, 4), (31, 2), (50, 3), (53, 7), (90, 1), (108, 1), (109, 1), (173, 1), (182, 1), (241, 1), (305, 1), (328, 1), (365, 1), (516, 1), (531, 1), (763, 1), (1041, 1), (1324, 1), (1416, 1), (1702, 1), (1806, 1), (1856, 1), (2246, 1), (2296, 1), (2424, 1), (2432, 1), (2655, 1), (3024, 1), (4214, 1), (5269, 1), (6284, 1), (7110, 1), (7933, 1), (11517, 1), (11542, 1), (14502, 1), (14824, 1), (16950, 1), (19085, 1), (19086, 2), (19087, 1), (19088, 1), (19089, 1)], [(1, 1), (4, 1), (19, 1), (20, 2), (53, 1), (64, 1), (324, 1), (1178, 1), (2344, 1), (3426, 1), (4939, 1), (15897, 1)], [(20, 1), (25, 1), (64, 1), (75, 1), (193, 1), (214, 1), (247, 1), (2259, 1), (2361, 1), (2925, 1), (3786, 1), (4841, 2), (6315, 1), (8465, 1)], [(8, 1), (20, 1), (37, 1), (50, 1), (53, 1), (193, 1), (256, 1), (269, 1), (295, 1), (310, 1), (645, 1), (2066, 1)], [(7, 1), (24, 1), (800, 1), (913, 1), (1178, 1), (3786, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 1), (25, 1), (45, 1), (50, 2), (53, 5), (54, 1), (65, 1), (109, 1), (256, 1), (516, 1), (600, 1), (1160, 1), (1228, 1), (1529, 1), (1540, 1), (1702, 1), (2064, 1), (3379, 1), (5011, 1), (6315, 1), (6683, 1), (7043, 1), (7943, 1), (8147, 1), (8922, 1), (9694, 1), (12852, 1), (13683, 1), (19090, 1), (19091, 1), (19092, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (45, 1), (53, 1), (64, 1), (173, 2), (215, 1), (269, 1), (293, 1), (347, 1), (373, 1), (891, 1), (1163, 1), (1324, 1), (1627, 1), (1667, 1), (2925, 1), (3079, 1), (5089, 1), (9895, 1), (12725, 1)], [(8, 2), (20, 2), (21, 1), (53, 2), (64, 1), (77, 1), (91, 1), (109, 1), (256, 1), (707, 1), (709, 1), (913, 1), (1195, 1), (1324, 1), (2515, 2), (4386, 1), (7286, 1)], [(20, 1), (37, 1), (1178, 1), (9895, 1)], [(1, 1), (4, 1), (7, 1), (8, 1), (18, 1), (19, 1), (20, 3), (25, 1), (32, 1), (53, 2), (54, 1), (91, 1), (108, 1), (185, 1), (209, 1), (309, 1), (327, 1), (347, 1), (428, 1), (504, 1), (763, 1), (827, 1), (982, 1), (1248, 1), (1342, 1), (1377, 1), (2185, 1), (2406, 1), (10584, 1), (15741, 1)], [(8, 1), (18, 3), (19, 1), (20, 3), (22, 2), (25, 2), (45, 2), (53, 3), (54, 1), (65, 2), (77, 1), (82, 1), (88, 1), (90, 1), (91, 1), (95, 2), (108, 1), (109, 1), (117, 2), (173, 2), (186, 1), (232, 2), (285, 1), (309, 1), (373, 1), (387, 1), (388, 1), (420, 1), (526, 1), (600, 1), (706, 2), (744, 1), (772, 1), (1381, 1), (1720, 1), (1725, 1), (1932, 2), (2739, 1), (2831, 1), (3416, 1), (6315, 1), (6367, 1), (9828, 1), (9896, 1), (10140, 1), (14403, 1), (19093, 1)], [(8, 1), (18, 1), (19, 1), (20, 6), (22, 2), (25, 3), (30, 1), (31, 1), (37, 1), (45, 1), (50, 2), (53, 4), (54, 1), (55, 1), (58, 1), (69, 1), (90, 1), (97, 1), (109, 1), (117, 1), (193, 1), (197, 2), (215, 2), (220, 1), (232, 1), (301, 1), (353, 1), (373, 1), (399, 1), (414, 2), (428, 1), (430, 1), (459, 3), (531, 1), (623, 1), (632, 1), (688, 1), (693, 1), (709, 1), (756, 1), (765, 1), (834, 1), (903, 1), (913, 3), (1070, 1), (1129, 1), (1248, 2), (1308, 1), (1376, 1), (1377, 1), (1529, 1), (1570, 1), (1725, 1), (1824, 1), (1873, 1), (2270, 1), (2655, 1), (3025, 1), (3100, 1), (4580, 1), (4616, 1), (5486, 1), (6116, 1), (7097, 1), (10070, 1), (10515, 1), (10874, 1), (11899, 1), (13824, 1), (14968, 1), (19094, 1)], [(7, 1), (8, 1), (18, 2), (19, 1), (20, 4), (22, 3), (30, 1), (31, 1), (37, 1), (45, 1), (53, 3), (108, 1), (117, 2), (193, 1), (197, 1), (232, 2), (256, 2), (301, 1), (415, 1), (516, 1), (913, 1), (1102, 1), (1342, 1), (1529, 2), (2744, 1), (3020, 1), (3100, 1), (3356, 1), (3424, 1), (5580, 1), (6315, 1), (6614, 1), (8640, 1), (11430, 1), (12156, 1), (14269, 1), (14376, 1), (19095, 1), (19096, 1), (19097, 1), (19098, 1)], [(8, 1), (18, 4), (19, 2), (20, 7), (22, 1), (25, 3), (30, 2), (31, 3), (32, 2), (45, 1), (50, 2), (53, 6), (90, 1), (95, 1), (108, 2), (124, 1), (193, 1), (215, 1), (293, 1), (301, 1), (433, 1), (504, 1), (711, 1), (756, 1), (850, 1), (884, 1), (904, 1), (913, 1), (1102, 1), (1248, 1), (1249, 1), (1403, 1), (1416, 1), (2344, 1), (2615, 1), (3782, 1), (3791, 1), (3831, 1), (4138, 1), (4941, 1), (6513, 1), (10070, 1), (10515, 1), (11761, 1), (15931, 1), (16534, 1), (17217, 1), (18568, 1), (19099, 1), (19100, 1), (19101, 1), (19102, 1)], [(18, 1), (19, 1), (20, 1), (21, 2), (25, 2), (31, 1), (50, 2), (53, 1), (54, 1), (58, 2), (85, 1), (90, 2), (124, 2), (247, 1), (281, 1), (392, 1), (420, 1), (448, 1), (449, 1), (697, 1), (763, 1), (833, 1), (897, 1), (1097, 1), (1239, 1), (1458, 1), (1668, 1), (2038, 1), (2712, 1), (3786, 1), (3886, 1), (6315, 1), (6959, 1), (7043, 1), (10248, 1), (12063, 1), (14485, 1), (16390, 1), (19103, 1), (19104, 1), (19105, 1)], [(8, 1), (19, 1), (20, 3), (21, 1), (25, 4), (31, 2), (37, 1), (50, 2), (53, 4), (55, 1), (117, 1), (186, 1), (232, 1), (373, 1), (426, 1), (450, 1), (1239, 1), (1330, 1), (2718, 1), (2719, 1), (3450, 1), (4282, 1), (5578, 1), (6252, 1), (6315, 1), (11084, 1), (12453, 1), (12492, 1), (13674, 1), (18055, 1), (19106, 1), (19107, 1)], [(8, 1), (71, 1), (166, 1), (269, 1), (387, 1), (3181, 1), (7830, 1)], [(8, 1), (19, 1), (20, 7), (21, 4), (22, 2), (25, 3), (31, 1), (37, 1), (50, 2), (53, 8), (54, 1), (58, 1), (65, 1), (92, 1), (173, 1), (365, 1), (373, 1), (388, 1), (428, 1), (654, 1), (707, 1), (897, 2), (988, 2), (1239, 1), (1458, 1), (1540, 1), (2019, 1), (2331, 1), (2400, 1), (2864, 1), (3686, 1), (4941, 1), (5011, 1), (5089, 1), (5356, 1), (13114, 1), (13674, 1), (15963, 1), (16390, 1), (17420, 1), (17869, 1), (18421, 1), (19108, 1)], [(7, 1), (8, 1), (18, 5), (20, 9), (22, 2), (25, 3), (31, 3), (45, 1), (50, 4), (53, 8), (65, 1), (91, 1), (97, 1), (108, 1), (112, 1), (124, 1), (293, 1), (310, 1), (329, 1), (353, 1), (365, 1), (399, 1), (414, 1), (415, 1), (418, 1), (428, 1), (433, 1), (515, 1), (516, 2), (658, 1), (756, 1), (897, 1), (913, 1), (1122, 2), (1570, 1), (1653, 1), (2021, 1), (2230, 1), (2503, 1), (2615, 1), (2866, 1), (3264, 1), (3304, 1), (3594, 1), (3686, 1), (4202, 1), (4801, 1), (4937, 1), (5104, 1), (5627, 1), (5784, 1), (5963, 1), (6794, 1), (6827, 1), (7200, 1), (7295, 1), (7411, 1), (7416, 1), (10515, 1), (10704, 1), (12937, 1), (13124, 1), (14613, 1), (16676, 1), (19109, 1), (19110, 1), (19111, 1), (19112, 1)], [(7, 1), (8, 1), (18, 2), (19, 3), (20, 12), (21, 4), (22, 3), (25, 8), (30, 1), (31, 2), (32, 1), (45, 4), (50, 3), (51, 1), (53, 9), (54, 1), (58, 3), (65, 3), (68, 1), (85, 3), (90, 1), (108, 1), (109, 3), (117, 2), (166, 1), (173, 1), (186, 3), (215, 1), (232, 2), (259, 1), (269, 1), (283, 1), (305, 1), (310, 1), (337, 1), (365, 2), (373, 1), (415, 1), (418, 1), (428, 2), (433, 1), (448, 1), (459, 1), (516, 3), (531, 1), (600, 1), (632, 1), (645, 1), (693, 1), (705, 1), (756, 1), (777, 2), (884, 1), (903, 1), (982, 1), (1010, 1), (1041, 1), (1057, 1), (1097, 1), (1239, 2), (1403, 1), (1415, 1), (1458, 1), (1487, 1), (1527, 1), (1529, 2), (1574, 1), (1759, 1), (1766, 1), (1811, 1), (1824, 2), (1902, 1), (1932, 2), (2088, 1), (2099, 1), (2162, 1), (2168, 1), (2340, 1), (2795, 1), (2799, 1), (2831, 1), (3315, 1), (3447, 1), (4336, 1), (4479, 1), (4652, 1), (4975, 1), (5081, 1), (5710, 1), (5856, 1), (6315, 2), (6683, 1), (6794, 1), (7183, 1), (7295, 1), (7411, 1), (8122, 1), (9467, 1), (9593, 1), (9793, 1), (10315, 1), (10422, 1), (10515, 1), (10723, 1), (10752, 1), (11958, 1), (13715, 1), (14455, 1), (14980, 1), (15293, 1), (15889, 1), (16588, 1), (16728, 1), (19113, 1), (19114, 1), (19115, 1), (19116, 1), (19117, 1), (19118, 1)], [(8, 1), (18, 3), (19, 3), (20, 6), (21, 2), (22, 2), (24, 1), (25, 3), (30, 1), (32, 1), (45, 4), (50, 4), (53, 7), (55, 2), (58, 2), (95, 1), (108, 1), (109, 2), (111, 1), (173, 3), (202, 1), (215, 1), (347, 1), (353, 1), (365, 1), (426, 1), (623, 1), (626, 2), (632, 2), (763, 1), (884, 1), (913, 1), (1041, 1), (1245, 1), (1416, 1), (1430, 1), (1477, 1), (1557, 1), (1567, 1), (1620, 1), (1632, 1), (2324, 1), (2543, 1), (2611, 1), (3049, 1), (3072, 1), (3100, 1), (3264, 1), (3791, 1), (4286, 1), (4721, 1), (4801, 1), (5825, 1), (8606, 1), (8923, 1), (9746, 1), (9842, 1), (11987, 1), (12062, 1), (15714, 1), (15888, 1), (19119, 1), (19120, 1)], [(8, 1), (18, 1), (20, 4), (25, 1), (30, 1), (45, 3), (53, 2), (54, 1), (90, 2), (92, 1), (108, 1), (117, 1), (173, 1), (193, 1), (215, 1), (232, 1), (301, 1), (337, 1), (504, 1), (583, 1), (608, 1), (697, 1), (1342, 1), (1627, 1), (2393, 1), (2615, 1), (2831, 1), (3181, 1), (3469, 1), (3600, 1), (3970, 1), (6633, 1), (8456, 1), (15073, 1), (18450, 1), (18918, 1), (19121, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (25, 3), (53, 4), (71, 1), (91, 1), (166, 1), (186, 1), (188, 1), (193, 1), (209, 1), (307, 1), (310, 1), (373, 1), (414, 1), (426, 1), (705, 1), (709, 1), (774, 1), (1159, 1), (1458, 1), (1498, 1), (1995, 1), (2016, 1), (2392, 1), (2934, 1), (2950, 1), (2985, 1), (3146, 1), (3400, 1), (4551, 1), (5204, 1), (5656, 1), (10315, 1), (10752, 1), (14980, 1), (17928, 1)], [(8, 1), (19, 1), (20, 2), (22, 6), (25, 3), (37, 1), (50, 1), (111, 1), (161, 1), (172, 1), (206, 1), (256, 1), (260, 1), (268, 1), (269, 1), (328, 1), (459, 1), (727, 1), (757, 1), (903, 1), (1540, 1), (2718, 1), (2719, 1), (2753, 1), (3525, 1), (3582, 1), (3807, 1), (5498, 1), (8312, 1), (9546, 1), (9946, 1), (10589, 1), (10596, 1), (10752, 1), (13542, 1), (13691, 1), (19122, 1), (19123, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (30, 1), (32, 1), (45, 1), (53, 2), (54, 1), (55, 1), (58, 1), (97, 1), (117, 2), (209, 1), (215, 1), (232, 2), (293, 2), (307, 1), (361, 2), (373, 1), (792, 1), (894, 1), (1350, 1), (1667, 1), (1911, 1), (2126, 1), (2716, 1), (6315, 1), (7488, 1), (9534, 1), (9779, 1), (11980, 1), (12751, 1), (13807, 1), (15271, 1), (17061, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (22, 1), (30, 2), (37, 1), (50, 2), (53, 3), (54, 1), (65, 1), (173, 2), (215, 1), (217, 1), (261, 1), (281, 2), (301, 1), (323, 1), (347, 1), (420, 1), (459, 1), (1348, 1), (1350, 1), (1377, 1), (1702, 1), (1820, 1), (2025, 1), (2064, 1), (2159, 1), (2581, 1), (2965, 1), (4199, 1), (4547, 1), (6737, 1), (7286, 1), (13130, 1)], [(8, 1), (20, 1), (78, 1), (217, 1), (256, 1), (269, 1), (347, 1), (708, 1), (1485, 1), (2467, 1), (2694, 1), (3000, 1), (3638, 1), (14198, 1), (19124, 1)], [(19, 1), (20, 4), (22, 1), (25, 1), (51, 1), (53, 1), (64, 1), (66, 1), (71, 1), (117, 1), (173, 2), (190, 1), (225, 1), (275, 1), (285, 1), (323, 1), (347, 1), (833, 1), (1176, 1), (3155, 1), (4167, 1), (4390, 1), (4675, 1), (4939, 1), (5068, 1), (6315, 1), (7286, 1), (19125, 1)], [(20, 2), (22, 1), (23, 1), (24, 1), (32, 1), (53, 1), (64, 2), (66, 1), (82, 1), (90, 1), (186, 1), (225, 1), (233, 1), (309, 1), (428, 1), (608, 1), (949, 1), (1163, 1), (2140, 1), (2178, 1), (2296, 1), (3082, 1), (3638, 1), (18692, 1)], [(8, 1), (20, 2), (23, 1), (55, 1), (64, 1), (94, 1), (233, 1), (268, 1), (301, 1), (442, 1), (949, 1), (1163, 1), (2716, 1), (3701, 1), (6084, 1), (7295, 1)], [(64, 1), (247, 1), (4939, 1)], [(8, 1), (18, 1), (19, 1), (20, 3), (22, 1), (23, 1), (25, 2), (34, 1), (37, 1), (50, 1), (51, 1), (55, 1), (58, 1), (77, 1), (90, 1), (117, 2), (124, 1), (185, 1), (232, 1), (260, 1), (268, 1), (269, 2), (295, 1), (301, 1), (326, 1), (482, 1), (506, 1), (672, 1), (790, 2), (833, 1), (893, 1), (1075, 1), (1607, 1), (2291, 1), (2495, 1), (2633, 1), (2716, 1), (3786, 1), (6315, 1), (6441, 1), (7295, 1), (15304, 1)], [(8, 1), (20, 3), (25, 1), (31, 1), (45, 1), (51, 1), (95, 1), (215, 1), (229, 1), (289, 1), (293, 1), (581, 1), (645, 1), (778, 1), (827, 1), (1911, 2), (3043, 1), (3923, 1), (6315, 1), (7461, 1), (9574, 1), (12796, 1)], [(20, 1), (161, 2), (247, 1), (317, 1), (328, 1), (1304, 1), (1683, 1), (1729, 2), (2540, 1), (2566, 1), (3274, 1), (3641, 1), (14079, 1), (14800, 1)], [(97, 1), (697, 1), (946, 1)], [(19, 1), (20, 1), (64, 1), (66, 1), (949, 1), (6633, 1), (19126, 1)], [(20, 2), (22, 1), (53, 1), (64, 1), (247, 1), (414, 1), (709, 1), (752, 1), (897, 1), (1009, 1), (1458, 1), (3933, 1), (4533, 1), (5880, 1)], [(8, 1), (20, 1), (21, 1), (25, 2), (50, 1), (53, 3), (66, 1), (91, 1), (117, 1), (232, 1), (310, 1), (373, 1), (913, 1), (982, 1), (1195, 1), (1324, 1), (2656, 1), (3079, 1), (7016, 1), (7286, 1), (19127, 1)], [(20, 1), (53, 1), (64, 1), (66, 1), (245, 1), (433, 1), (496, 1), (506, 1), (763, 1), (949, 1), (1693, 1), (2912, 1)], [(20, 2), (64, 1), (247, 1), (1583, 1), (5134, 2)], [(32, 1), (185, 1), (247, 1), (288, 1), (506, 1), (19124, 1), (19128, 1)], [(247, 1), (4383, 1), (19129, 1)], [(18, 1), (31, 1), (53, 2), (90, 1), (172, 1), (743, 1), (744, 1), (1178, 1), (1325, 1), (1572, 1), (1628, 1), (5455, 1), (7484, 1)], [(64, 1), (946, 1), (1167, 1)], [(8, 1), (20, 2), (26, 1), (64, 1), (82, 1), (245, 1), (645, 1), (1193, 1)], [(8, 1), (18, 1), (20, 1), (21, 1), (90, 1), (108, 1), (190, 1), (248, 1), (328, 1), (506, 1), (1379, 1), (1685, 1), (1901, 1), (8553, 1), (10127, 1)], [(8, 1), (53, 1), (600, 1), (7302, 1)], [(8, 1), (23, 1), (30, 1), (82, 1), (172, 1), (182, 1), (1824, 1), (1874, 1)], [(58, 1), (71, 1), (247, 1), (639, 1), (1001, 1), (1072, 1), (1683, 1), (2185, 1), (3786, 1), (4758, 1)], [(37, 1), (66, 1), (91, 1), (3633, 1)], [(8, 1), (24, 1), (51, 1), (54, 1), (94, 1), (117, 1), (232, 1), (236, 1), (645, 1), (5583, 1)], [(8, 1), (20, 1), (53, 2), (54, 1), (82, 1), (328, 1), (2816, 1), (2916, 1), (14683, 1), (15997, 1)], [(24, 1), (64, 1), (1178, 1), (14683, 1)], [(31, 1), (172, 1), (173, 1), (203, 1), (217, 1), (774, 1), (1198, 2), (2925, 1), (7295, 1)], [(20, 3), (21, 3), (24, 1), (30, 1), (37, 1), (50, 1), (64, 1), (82, 2), (169, 1), (170, 2), (245, 1), (295, 1), (742, 1), (767, 1), (1178, 1), (1958, 1), (2401, 1), (3786, 1), (4729, 1), (14632, 1), (17011, 1), (17581, 1)], [(8, 1), (19, 2), (30, 1), (53, 2), (54, 1), (55, 1), (71, 1), (90, 1), (301, 1), (711, 1), (894, 1), (1510, 1), (3914, 1), (4132, 1), (9358, 1), (14683, 1)], [(20, 1), (21, 1), (23, 2), (30, 1), (50, 1), (53, 1), (64, 1), (66, 1), (233, 1), (236, 1), (324, 1), (399, 1), (726, 1), (774, 1), (949, 1), (1163, 1), (1198, 1), (1239, 1), (1487, 1), (4939, 1), (5761, 1), (7295, 1), (19112, 1)], [(64, 1), (247, 1), (1239, 1), (17074, 1)], [(1239, 1), (1714, 1), (17074, 1)], [(170, 1), (1683, 1), (1714, 1), (19130, 1)], [(8, 1), (20, 1), (31, 1), (51, 1), (53, 1), (58, 1), (65, 1), (90, 2), (98, 1), (173, 1), (215, 1), (459, 1), (504, 1), (596, 2), (884, 1), (983, 1), (1247, 1), (1683, 1), (4465, 1), (4835, 1), (6315, 1), (15043, 1), (19131, 1)], [(20, 5), (21, 1), (24, 1), (34, 1), (53, 3), (58, 1), (95, 1), (117, 2), (232, 1), (247, 1), (268, 3), (278, 1), (295, 1), (328, 1), (600, 1), (777, 1), (778, 1), (1075, 1), (1683, 1), (1932, 2), (2259, 1), (2734, 1), (3786, 1), (7086, 1), (12081, 1), (12191, 1), (13894, 1), (17992, 1)], [(31, 1), (53, 1), (58, 1), (74, 1), (75, 1), (185, 1), (247, 1), (328, 1), (560, 1), (792, 1), (1176, 1), (3786, 1), (14079, 1), (19132, 1)], [(19, 1), (21, 3), (30, 1), (37, 1), (50, 1), (53, 3), (247, 1), (775, 1), (913, 1), (1354, 1), (1698, 1), (1710, 1), (3786, 1), (6961, 1), (9790, 1), (10752, 1), (19133, 1)], [(18, 1), (20, 1), (21, 1), (37, 1), (53, 4), (247, 1), (328, 1), (414, 1), (3110, 1), (3694, 1), (3786, 2), (4533, 1), (9896, 1), (10070, 2), (12375, 1), (13312, 1)], [(20, 1), (108, 1), (247, 1), (324, 1), (505, 1), (7362, 2)], [(20, 1), (22, 1), (23, 2), (25, 1), (30, 1), (53, 1), (58, 1), (92, 1), (117, 2), (247, 1), (256, 1), (367, 1), (1717, 1), (1720, 1), (1760, 1), (1824, 1), (2547, 1), (2744, 1), (2854, 2), (5878, 1), (12008, 1), (19134, 1)], [(64, 1), (247, 1), (332, 1), (7699, 1)], [(8, 1), (20, 3), (21, 1), (22, 1), (30, 1), (50, 1), (51, 1), (64, 1), (81, 1), (90, 1), (108, 1), (117, 3), (124, 1), (167, 1), (185, 1), (232, 2), (256, 1), (268, 1), (269, 1), (357, 1), (359, 1), (645, 1), (812, 2), (833, 1), (1163, 1), (1237, 1), (1570, 1), (2034, 1), (2470, 1), (2925, 1), (3852, 1), (5734, 1), (6324, 1), (6936, 1), (7286, 1), (19135, 1)], [(19, 1), (21, 1), (22, 3), (37, 1), (53, 1), (55, 1), (74, 1), (96, 1), (109, 1), (124, 2), (170, 1), (172, 1), (173, 1), (185, 1), (245, 2), (357, 1), (412, 1), (419, 1), (452, 1), (645, 1), (776, 1), (1057, 1), (1197, 1), (1349, 1), (1487, 1), (1683, 1), (1714, 1), (2178, 1), (2344, 1), (2418, 1), (2515, 1), (3638, 1), (4401, 1), (4733, 1), (4841, 2), (5356, 1), (5740, 1), (6205, 1), (8200, 1), (8462, 1), (9554, 1), (10035, 1), (10891, 1), (12825, 1), (12872, 1), (12971, 1), (19136, 1)], [(7, 1), (19, 1), (30, 1), (50, 1), (53, 2), (71, 1), (365, 1), (419, 1), (1714, 1), (2795, 1), (3686, 1), (12971, 1)], [(7, 1), (19, 1), (30, 1), (53, 1), (56, 1), (71, 1), (419, 1), (1714, 1), (3380, 1), (4272, 1), (12971, 1)], [(19, 1), (20, 1), (25, 1), (30, 1), (124, 1), (1178, 1), (1583, 1), (1932, 1), (5134, 1), (7415, 1), (9990, 1), (19137, 1)], [(8, 1), (19, 1), (20, 2), (21, 1), (22, 1), (23, 1), (31, 1), (40, 1), (50, 1), (64, 1), (90, 1), (96, 1), (117, 3), (232, 1), (245, 1), (261, 1), (269, 1), (357, 1), (419, 1), (605, 1), (726, 1), (1282, 1), (2265, 1), (2361, 1), (2479, 1), (3034, 1), (3069, 1), (3331, 1), (3553, 1), (5913, 1), (6945, 1), (7286, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (21, 1), (31, 1), (50, 3), (53, 3), (71, 1), (75, 1), (95, 1), (185, 2), (215, 1), (301, 1), (506, 1), (1082, 1), (1196, 1), (2977, 1), (4841, 1), (11313, 1), (12071, 1), (19138, 1), (19139, 1)], [(8, 1), (20, 1), (40, 1), (77, 1), (108, 1), (645, 1), (6315, 2)], [(8, 1), (106, 1), (117, 1), (232, 1), (2039, 1), (2985, 1), (16107, 1), (19140, 1)], [(7, 1), (8, 1), (18, 1), (25, 1), (117, 1), (185, 1), (245, 1), (307, 1), (506, 1), (583, 1), (609, 1), (2163, 1), (6670, 1), (15429, 1), (19141, 1)], [(247, 1), (19142, 1)], [(8, 1), (22, 1), (23, 2), (53, 1), (117, 1), (242, 1), (1487, 1), (1997, 1), (2039, 1), (2083, 1), (19143, 1)], [(20, 1), (247, 1), (357, 1), (1670, 1), (19144, 1)], [(8, 1), (20, 1), (90, 1), (357, 1), (506, 1), (600, 1), (1122, 1), (2495, 1), (2633, 1), (7363, 1), (19145, 1)], [(8, 1), (18, 2), (19, 1), (22, 2), (34, 1), (51, 1), (53, 1), (186, 1), (310, 1), (414, 2), (531, 1), (645, 1), (703, 1), (1379, 1), (1694, 1), (2318, 1), (5270, 1), (6517, 1), (6684, 1), (10127, 1), (19146, 1)], [(8, 1), (18, 2), (20, 1), (21, 1), (22, 1), (26, 1), (45, 1), (90, 1), (117, 4), (232, 3), (256, 1), (281, 1), (828, 1), (1596, 1), (1628, 1), (1766, 1), (6315, 2), (9338, 1), (10015, 1), (19147, 1)], [(8, 1), (18, 1), (20, 2), (22, 1), (23, 2), (25, 1), (31, 1), (90, 1), (215, 1), (262, 1), (293, 1), (713, 1), (830, 1), (959, 1), (1170, 1), (1350, 1), (1585, 1), (4468, 1), (8317, 1), (13117, 1), (16749, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (45, 1), (90, 1), (117, 1), (232, 1), (295, 1), (301, 1), (506, 1), (809, 2), (1057, 1), (1824, 1), (2196, 1), (2270, 1), (2654, 1), (3034, 1), (3189, 1), (6315, 1), (8439, 1), (10225, 1), (12985, 1), (14220, 1)], [(20, 2), (31, 1), (53, 1), (72, 1), (295, 1), (487, 1), (600, 1), (1714, 1), (18244, 1), (19148, 1)], [(20, 1), (25, 1), (247, 1), (2157, 1), (3020, 1), (3918, 1), (18185, 1), (19149, 1)], [(8, 1), (19, 2), (20, 2), (22, 1), (53, 1), (108, 1), (190, 1), (286, 1), (487, 1), (711, 1), (897, 1), (1458, 1), (2270, 1), (3161, 2), (4895, 1), (5356, 1), (6601, 1), (8923, 1), (10443, 1), (10444, 1)], [(1, 1), (4, 1), (8, 1), (21, 2), (53, 1), (55, 1), (71, 1), (117, 1), (173, 1), (190, 1), (232, 1), (241, 1), (412, 1), (418, 1), (2190, 1), (3696, 1), (19150, 1)], [(19, 1), (20, 2), (45, 1), (117, 1), (124, 1), (173, 1), (247, 1), (256, 1), (600, 1), (776, 1), (1308, 1), (1932, 1), (2344, 1), (2854, 1), (3161, 1), (4939, 1), (8814, 1)], [(20, 1), (117, 1), (262, 1), (295, 1), (467, 1), (600, 1), (946, 1), (4146, 2)], [(8, 1), (64, 1), (209, 1), (999, 1), (1163, 1), (2925, 1), (5857, 1), (7295, 1)], [(8, 1), (64, 1), (215, 1), (331, 1), (1163, 1), (2417, 1), (6315, 1), (9909, 1)], [(20, 1), (24, 1), (53, 1), (64, 1), (72, 1), (173, 1), (215, 1), (247, 1), (392, 1), (414, 1), (487, 1), (600, 1), (1462, 1), (2157, 1), (2348, 1), (2417, 1), (19148, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (53, 1), (328, 1), (331, 1), (373, 1), (922, 1), (1580, 1), (2716, 1), (3330, 1), (4372, 1), (7286, 1), (13173, 1)], [(247, 1), (1583, 1)], [(19, 1), (20, 1), (21, 1), (23, 1), (24, 1), (31, 1), (50, 1), (53, 1), (83, 1), (85, 1), (96, 1), (117, 2), (170, 2), (232, 1), (288, 1), (293, 1), (313, 1), (1705, 1), (1714, 1), (2495, 1), (2621, 1), (3786, 2), (4082, 1), (4941, 1), (9627, 1), (14683, 2)], [(7, 1), (8, 1), (18, 2), (19, 2), (21, 1), (23, 1), (25, 1), (27, 1), (32, 1), (37, 1), (50, 2), (53, 3), (54, 2), (58, 1), (71, 1), (90, 1), (117, 3), (166, 1), (173, 1), (182, 1), (232, 3), (256, 1), (287, 1), (307, 1), (351, 1), (516, 1), (601, 1), (1239, 1), (1347, 1), (1458, 1), (1580, 1), (1683, 1), (1702, 1), (2270, 1), (2418, 2), (2985, 1), (3512, 1), (4539, 1), (7482, 1), (9876, 1), (11147, 1), (16108, 1), (17800, 1), (18832, 1), (19151, 1), (19152, 1)], [(20, 2), (23, 2), (58, 1), (117, 2), (1102, 1), (1178, 1), (16938, 1), (19153, 2)], [(8, 1), (19, 1), (20, 1), (31, 1), (53, 1), (54, 1), (95, 1), (1668, 1), (1702, 1), (3013, 1), (6633, 1), (14442, 1), (19154, 1)], [(7, 1), (8, 1), (20, 4), (22, 1), (25, 4), (31, 1), (50, 3), (53, 9), (54, 2), (108, 1), (124, 1), (215, 2), (241, 1), (414, 1), (450, 1), (600, 1), (752, 1), (776, 1), (913, 1), (1057, 1), (1224, 1), (1241, 2), (1260, 1), (1262, 1), (1308, 1), (1313, 1), (1667, 1), (1698, 1), (2019, 1), (2030, 1), (2577, 1), (3079, 1), (3242, 1), (3646, 1), (3709, 1), (4556, 1), (6635, 1), (6636, 1), (8018, 1), (12046, 1), (13891, 1), (13897, 1), (18904, 1)], [(8, 1), (20, 3), (22, 3), (30, 1), (45, 2), (50, 2), (53, 4), (108, 1), (117, 1), (170, 1), (215, 1), (232, 1), (307, 1), (353, 1), (388, 1), (414, 2), (627, 1), (1041, 1), (1224, 1), (1227, 1), (1529, 1), (1702, 1), (2239, 1), (2265, 1), (2296, 1), (2716, 1), (3082, 1), (3426, 1), (3638, 1), (3921, 1), (4552, 1), (4715, 1), (4791, 1), (6315, 2), (7236, 1), (7332, 1), (7463, 1), (7680, 1), (8924, 1), (12408, 1), (13311, 1), (13870, 1), (19155, 1), (19156, 1)], [(1544, 1), (19157, 1)], [(8, 1), (24, 1), (2633, 1), (6974, 1), (8141, 1), (18901, 1)], [(7, 1), (8, 1), (20, 2), (24, 1), (25, 3), (50, 2), (53, 4), (54, 1), (65, 4), (69, 1), (124, 1), (193, 1), (197, 2), (317, 2), (323, 1), (361, 1), (645, 1), (706, 1), (776, 1), (1170, 1), (1224, 1), (1262, 1), (1482, 1), (1671, 1), (1965, 1), (2066, 1), (2926, 1), (3053, 1), (3646, 1), (3696, 1), (3978, 1), (7110, 1), (9104, 1), (19158, 1)], [(30, 1), (34, 1), (64, 1), (117, 1), (295, 1), (467, 1), (946, 1)], [(8, 1), (22, 1), (31, 1), (53, 1), (54, 1), (82, 1), (95, 1), (256, 1), (1668, 1), (1824, 1), (2925, 1), (6315, 1)], [(8, 1), (20, 2), (22, 1), (37, 1), (45, 1), (64, 1), (90, 2), (117, 1), (232, 1), (256, 1), (359, 1), (1102, 1), (1229, 2), (3523, 1), (5340, 1)], [(8, 1), (20, 2), (22, 1), (25, 1), (215, 1), (217, 1), (328, 1), (352, 1), (357, 1), (1764, 1), (7362, 1), (18920, 1), (19159, 1)], [(18, 1), (247, 1), (361, 1), (596, 1), (1458, 1), (6442, 1)], [(8, 1), (18, 3), (19, 2), (20, 3), (25, 2), (50, 1), (53, 2), (56, 2), (58, 1), (65, 2), (82, 1), (90, 1), (91, 1), (108, 1), (166, 1), (185, 1), (281, 1), (353, 2), (361, 1), (430, 1), (459, 1), (763, 1), (1041, 1), (1467, 1), (2321, 1), (2538, 1), (2609, 1), (2926, 1), (7205, 1), (8200, 1), (19160, 1)], [(19, 1), (20, 3), (22, 3), (108, 2), (117, 2), (119, 1), (173, 1), (232, 1), (236, 1), (247, 1), (256, 1), (325, 1), (342, 1), (347, 1), (645, 1), (812, 1), (1308, 1), (1342, 1), (1686, 1), (1966, 1), (2009, 1), (2654, 1), (4858, 3), (5691, 1), (6026, 1), (6315, 2)], [(8, 1), (19, 1), (117, 1), (232, 1), (342, 1), (15774, 1)], [(8, 1), (25, 1), (90, 1), (225, 1), (332, 1), (970, 1), (1308, 1), (2537, 1)], [(8, 1), (18, 2), (19, 1), (20, 3), (22, 1), (25, 3), (71, 1), (77, 1), (84, 2), (90, 1), (108, 1), (111, 1), (178, 2), (278, 1), (289, 1), (313, 1), (3062, 1), (4532, 1), (5010, 1), (8174, 1), (13028, 1), (15512, 1), (15867, 1)], [(8, 1), (18, 1), (19, 1), (20, 4), (21, 1), (23, 1), (25, 1), (27, 1), (31, 1), (51, 1), (53, 1), (54, 1), (58, 1), (97, 1), (117, 1), (185, 1), (236, 1), (275, 1), (293, 1), (331, 1), (452, 1), (516, 1), (580, 2), (1580, 1), (1824, 1), (2322, 1), (2406, 1), (2482, 1), (2556, 1), (3069, 1), (3453, 1), (7687, 1), (8487, 1), (14853, 1)], [(8, 1), (20, 3), (22, 2), (25, 1), (31, 1), (32, 1), (50, 2), (53, 1), (58, 2), (77, 1), (90, 2), (111, 1), (117, 1), (185, 2), (190, 1), (203, 1), (232, 1), (256, 1), (265, 1), (268, 1), (331, 1), (516, 1), (813, 1), (1293, 1), (1416, 1), (1617, 2), (1702, 1), (2036, 1), (2322, 1), (2440, 1), (2690, 1), (2691, 1), (3545, 1), (3982, 1), (9682, 1), (17399, 1), (18138, 1), (19161, 1), (19162, 1)], [(8, 1), (19, 1), (22, 1), (50, 1), (53, 3), (58, 2), (215, 1), (410, 1), (506, 1), (709, 1), (711, 2), (1250, 1), (1347, 1), (1813, 1), (2168, 1), (2469, 1), (5921, 1), (7466, 1), (7688, 1), (7899, 1), (10604, 1), (12723, 1), (14269, 1)], [(8, 1), (20, 3), (25, 4), (32, 1), (50, 1), (90, 1), (91, 1), (92, 1), (126, 1), (185, 1), (215, 2), (225, 1), (268, 1), (597, 1), (754, 1), (2270, 1), (3036, 1), (3066, 1), (3364, 1), (4148, 1), (4746, 1), (4847, 1), (4863, 1), (5021, 1), (6835, 1), (16796, 1), (19163, 1), (19164, 1), (19165, 1)], [(8, 1), (58, 2), (117, 1), (232, 1), (281, 1), (3786, 1), (6610, 1), (19166, 1)], [(8, 1), (18, 1), (20, 2), (23, 2), (53, 1), (56, 1), (117, 1), (124, 1), (268, 1), (414, 1), (744, 1), (754, 1), (1075, 1), (1838, 1), (2326, 1), (4922, 1), (7466, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (25, 1), (117, 1), (328, 1), (1075, 1), (3289, 1), (3684, 1), (4336, 1), (19167, 1)], [(18, 1), (20, 2), (25, 1), (53, 1), (117, 1), (247, 1), (331, 1), (387, 1), (507, 1), (754, 1), (1176, 1), (1824, 1), (7639, 1)], [(40, 1), (58, 1), (323, 1), (1714, 1), (5865, 1)], [(8, 1), (25, 1), (53, 1), (58, 1), (197, 1), (225, 1), (359, 1), (2344, 1), (3400, 1), (7465, 1), (7466, 1)], [(8, 1), (20, 1), (25, 1), (58, 2), (92, 1), (99, 1), (193, 1), (256, 1), (742, 1), (6762, 1), (18978, 1)], [(247, 1), (2379, 1)], [(8, 1), (18, 2), (19, 1), (20, 1), (82, 1), (90, 1), (190, 1), (256, 1), (600, 1), (754, 1), (800, 1), (2034, 1), (3226, 1), (3459, 1), (4990, 1), (5495, 1), (7466, 1), (9380, 1)], [(8, 1), (18, 2), (21, 1), (77, 1), (387, 2), (833, 1), (2654, 1), (3457, 1), (6315, 1), (10839, 1), (19168, 1)], [(8, 1), (18, 1), (20, 3), (22, 1), (25, 1), (26, 1), (32, 1), (37, 2), (53, 2), (82, 1), (90, 1), (206, 1), (214, 1), (215, 2), (256, 3), (299, 1), (347, 1), (407, 1), (487, 2), (645, 1), (754, 1), (1308, 1), (1686, 1), (6319, 1), (6606, 1), (9975, 1), (19169, 2), (19170, 1)], [(18, 3), (20, 3), (117, 1), (232, 1), (247, 1), (351, 1), (407, 3), (855, 1), (2037, 1), (5134, 1), (5858, 1), (10583, 1)], [(8, 1), (20, 3), (23, 1), (25, 2), (31, 1), (32, 1), (37, 1), (53, 1), (58, 1), (90, 1), (117, 1), (232, 1), (273, 1), (328, 1), (331, 1), (754, 1), (1458, 1), (1824, 1), (1901, 1), (5757, 1), (6492, 1), (6988, 1)], [(8, 1), (19, 1), (20, 7), (22, 1), (25, 5), (31, 2), (50, 2), (53, 4), (82, 1), (90, 1), (109, 1), (193, 2), (201, 1), (202, 1), (276, 1), (282, 1), (287, 1), (300, 1), (314, 1), (365, 1), (405, 1), (410, 1), (414, 1), (450, 1), (830, 1), (990, 1), (1139, 1), (1456, 1), (1720, 1), (2344, 1), (2789, 1), (2812, 1), (3894, 1), (5842, 1), (7211, 1), (7466, 1), (7857, 1), (10199, 1), (10679, 1), (11004, 1), (18756, 1), (19171, 1), (19172, 1), (19173, 1), (19174, 1), (19175, 1)], [(7, 1), (53, 1), (247, 1), (331, 1), (4353, 1), (19176, 1)], [(20, 3), (21, 1), (22, 1), (25, 1), (90, 1), (91, 1), (111, 1), (206, 2), (215, 1), (247, 1), (263, 1), (276, 1), (293, 2), (414, 1), (516, 1), (709, 1), (922, 1), (1414, 1), (1580, 2), (1628, 1), (1901, 2), (2178, 1), (2543, 1), (7466, 2), (10497, 1), (11487, 2), (19177, 1)], [(58, 1), (247, 1), (553, 1)], [(247, 1), (328, 1), (14079, 1)], [(34, 1), (117, 1), (295, 1), (596, 1), (946, 1), (1075, 1)], [(20, 1), (64, 1), (66, 1), (949, 1), (1722, 1)], [(64, 1), (247, 1), (1722, 1)], [(25, 1), (75, 1), (193, 1), (247, 1), (6261, 1)], [(18, 1), (24, 1), (65, 1), (247, 1), (378, 1), (13080, 1), (16880, 1)], [(53, 1), (247, 1), (3426, 1), (4706, 1)], [(8, 1), (20, 2), (58, 1), (71, 1), (203, 1), (293, 1), (4390, 1), (4939, 1)], [(8, 1), (23, 1), (30, 1), (117, 1), (3069, 1), (19178, 1)], [(20, 1), (53, 1), (1347, 1), (1714, 1), (3083, 1), (5657, 1)], [(8, 1), (20, 3), (21, 1), (22, 2), (23, 2), (32, 1), (46, 1), (58, 1), (82, 1), (90, 1), (117, 2), (172, 1), (173, 1), (232, 2), (278, 1), (601, 1), (2954, 1), (4939, 1), (5074, 1), (10516, 1), (10891, 1)], [(247, 1), (19142, 1)], [(8, 1), (21, 1), (53, 2), (117, 1), (173, 1), (232, 1), (898, 1), (2615, 1), (2718, 1)], [(7, 1), (8, 1), (20, 2), (23, 1), (30, 1), (172, 1), (742, 1), (1224, 1), (2344, 1), (4390, 1), (4939, 1)], [(247, 1), (7047, 1)], [(247, 1), (410, 1)], [(20, 2), (37, 1), (50, 1), (53, 1), (247, 1), (256, 1), (295, 1), (310, 1), (1170, 1), (1482, 1), (1483, 1), (3280, 1)], [(53, 1), (1178, 1), (5358, 1), (10314, 1)], [(8, 1), (20, 3), (31, 2), (32, 1), (53, 6), (90, 1), (117, 1), (215, 2), (217, 1), (229, 1), (232, 1), (281, 1), (293, 1), (347, 2), (414, 1), (709, 1), (754, 1), (778, 1), (827, 1), (1159, 1), (1229, 1), (1322, 2), (2075, 1), (2228, 1), (2320, 1), (2983, 1), (3181, 1), (5664, 1), (5682, 1), (5825, 1), (6129, 1), (12199, 1), (13520, 1), (17851, 1), (19179, 1), (19180, 1)], [(8, 1), (19, 1), (20, 1), (32, 1), (53, 4), (64, 1), (65, 2), (108, 1), (173, 2), (215, 1), (281, 1), (430, 1), (754, 1), (1042, 1), (1088, 1), (1163, 1), (1377, 1), (1467, 1), (7286, 1), (7299, 1), (7414, 1), (8077, 1), (11960, 1), (11971, 1), (12601, 1), (19181, 1)], [(8, 1), (20, 2), (25, 1), (53, 1), (64, 1), (109, 1), (256, 1), (262, 1), (332, 1), (388, 1), (434, 1), (442, 1), (506, 1), (1580, 2), (1610, 1), (2222, 1), (2515, 1), (3125, 1), (4058, 1), (7380, 1)], [(23, 2), (30, 1), (31, 1), (90, 1), (332, 1), (506, 1), (1178, 1), (1580, 1), (4678, 1), (4681, 1), (19182, 1)], [(7, 1), (19, 1), (64, 1), (186, 1), (506, 1), (1178, 1), (2166, 1), (7363, 1)], [(8, 1), (19, 1), (20, 1), (53, 1), (2925, 1), (6211, 1), (6284, 1), (6315, 1), (17349, 1)], [(30, 1), (64, 1), (66, 1), (743, 1), (751, 1), (1476, 1), (1627, 1)], [(8, 1), (20, 3), (25, 2), (64, 1), (117, 1), (124, 1), (232, 1), (414, 1), (776, 1), (792, 1), (949, 1), (1012, 1), (1163, 1), (2200, 1), (4390, 1), (4939, 1), (5105, 1), (6315, 2), (7286, 1), (9394, 1)], [(8, 1), (19, 1), (22, 1), (32, 1), (65, 1), (85, 1), (126, 1), (2019, 1), (2361, 1), (2985, 1), (3740, 1), (4165, 1), (5104, 1)], [(8, 1), (32, 1), (55, 1), (174, 1), (1392, 1), (1992, 1), (2636, 1), (2978, 1), (15567, 1), (19064, 1)], [(8, 1), (20, 3), (25, 1), (50, 1), (53, 4), (58, 1), (65, 1), (109, 1), (186, 1), (193, 1), (215, 1), (301, 1), (317, 1), (347, 1), (448, 1), (504, 1), (708, 1), (999, 1), (1248, 3), (1328, 1), (1330, 1), (1458, 1), (1481, 1), (2344, 1), (2348, 1), (2967, 1), (4226, 1), (4551, 1), (5013, 1), (6315, 1), (8814, 1), (17938, 1), (19183, 1)], [(1, 1), (4, 1), (19, 1), (20, 2), (23, 1), (64, 1), (185, 1), (245, 1), (247, 1), (1342, 1), (1476, 1), (2831, 1), (3696, 1), (19184, 1)], [(8, 1), (22, 1), (53, 1), (117, 1), (186, 1), (220, 1), (232, 1), (328, 1), (428, 1), (754, 1), (1159, 1), (1549, 1), (2064, 1), (3786, 1), (4769, 1), (8077, 1), (12172, 1)], [(8, 2), (19, 1), (20, 1), (36, 1), (117, 1), (232, 1), (278, 1), (708, 1), (1195, 1), (1348, 1), (1824, 1), (5743, 1), (7286, 1)], [(24, 1), (247, 1), (5158, 1), (5921, 1)], [(18, 1), (55, 1), (65, 1), (90, 1), (247, 1), (777, 1), (3540, 1), (6228, 1), (7363, 1), (9905, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 1), (173, 1), (203, 1), (241, 1), (293, 1), (310, 1), (4941, 1), (11571, 1)], [(8, 1), (22, 1), (53, 1), (90, 1), (108, 1), (117, 1), (124, 1), (172, 1), (193, 1), (226, 1), (232, 1), (269, 1), (301, 1), (306, 1), (328, 1), (365, 1), (498, 1), (506, 1), (1122, 1), (1170, 1), (1342, 1), (2178, 1)], [(18, 2), (20, 5), (22, 1), (23, 1), (25, 2), (50, 1), (51, 2), (53, 1), (58, 1), (63, 1), (65, 1), (82, 1), (109, 1), (247, 1), (293, 1), (605, 1), (726, 1), (763, 1), (1361, 1), (1668, 1), (1824, 1), (1840, 1), (1858, 1), (2235, 1), (3067, 1), (4390, 1), (5653, 1), (8192, 1), (19185, 1)], [(8, 1), (19, 2), (24, 1), (53, 2), (215, 1), (506, 1), (922, 3), (3786, 2), (5901, 1)], [(8, 1), (18, 1), (19, 1), (117, 1), (232, 1), (351, 1), (3103, 1), (6633, 1), (14824, 1)], [(247, 1), (2153, 1), (6442, 1), (19186, 1)], [(8, 1), (19, 1), (20, 1), (21, 1), (53, 1), (124, 1), (203, 1), (405, 1), (530, 1), (833, 2), (1304, 1), (1901, 1), (2016, 1), (2440, 1), (3289, 1), (3479, 1), (11596, 1)], [(247, 1), (19187, 1)], [(8, 1), (19, 1), (20, 1), (22, 2), (53, 3), (90, 1), (95, 1), (378, 1), (504, 1), (697, 1), (778, 1), (897, 1), (1170, 1), (1296, 1), (2075, 1), (6281, 1), (19188, 1)], [(20, 2), (51, 1), (65, 1), (247, 1), (301, 1), (317, 1), (706, 1), (2178, 2), (6687, 2)], [(117, 1), (185, 1), (232, 1), (596, 1), (1131, 1), (1683, 1), (1714, 1)], [(8, 1), (20, 1), (31, 1), (206, 1), (4390, 1), (8487, 1), (14393, 1), (18568, 1), (19189, 1)], [(117, 1), (232, 1), (247, 1), (414, 1), (706, 1), (744, 1), (1131, 1), (1165, 1), (2967, 1), (3407, 1), (6315, 1)], [(8, 1), (25, 1), (32, 1), (51, 1), (53, 1), (117, 3), (232, 3), (351, 1), (645, 1), (1196, 1), (2036, 1), (2037, 1), (4249, 1)], [(20, 5), (22, 1), (31, 1), (51, 2), (82, 1), (84, 1), (214, 1), (265, 1), (301, 1), (317, 1), (329, 1), (419, 2), (709, 1), (1102, 1), (1580, 1), (1714, 1), (2479, 1), (3709, 1), (4390, 1), (7436, 1)], [(8, 1), (18, 1), (20, 2), (37, 1), (90, 1), (117, 1), (232, 1), (3638, 1), (3836, 1), (4939, 1)], [(8, 1), (50, 1), (53, 1), (185, 1), (197, 1), (225, 1), (639, 1), (697, 1), (893, 1), (924, 1), (1001, 1), (1296, 1), (1580, 1), (3476, 1), (4058, 1)], [(8, 1), (22, 1), (23, 2), (25, 1), (46, 1), (50, 4), (53, 2), (55, 1), (58, 1), (117, 2), (353, 2), (355, 1), (407, 1), (448, 1), (581, 1), (600, 1), (759, 1), (873, 1), (893, 1), (1571, 1), (1802, 1), (3069, 1), (3924, 1), (4155, 1), (4379, 2), (17562, 1)], [(90, 1), (117, 1), (173, 1), (232, 1), (233, 1), (596, 1), (1714, 1)], [(19, 1), (20, 1), (22, 1), (25, 1), (71, 1), (173, 1), (182, 1), (287, 1), (307, 1), (506, 1), (743, 1), (1458, 1), (1580, 1), (1702, 1), (1714, 1), (1824, 1), (3907, 1)], [(301, 1), (1139, 1), (1714, 1)], [(20, 1), (23, 2), (50, 1), (53, 2), (172, 1), (193, 1), (261, 1), (365, 1), (834, 1), (1714, 1), (2189, 1), (2795, 1), (3297, 1), (8084, 1), (8726, 1), (16038, 1)], [(8, 1), (19, 1), (20, 1), (23, 1), (25, 1), (30, 1), (37, 1), (109, 1), (117, 1), (173, 1), (217, 1), (792, 1), (1224, 1), (2297, 1), (3069, 1), (6601, 1), (6623, 1)], [(8, 1), (20, 5), (22, 1), (117, 1), (124, 1), (215, 1), (228, 1), (237, 1), (256, 1), (328, 1), (357, 1), (516, 1), (772, 1), (1415, 1), (1485, 1), (1528, 1), (2895, 1), (3409, 1), (4390, 1), (4841, 1), (4939, 1), (4942, 1), (6315, 1), (6936, 1), (6945, 1), (14683, 1)], [(8, 1), (18, 1), (20, 2), (21, 1), (23, 1), (53, 2), (65, 2), (95, 1), (117, 1), (170, 1), (220, 1), (281, 1), (317, 1), (706, 1), (1529, 1), (2178, 1), (2515, 1), (3073, 1), (3642, 1), (6687, 1)], [(7, 1), (19, 2), (20, 4), (25, 1), (53, 1), (65, 2), (66, 1), (95, 1), (117, 1), (310, 1), (328, 1), (420, 1), (623, 1), (706, 1), (751, 1), (778, 1), (1224, 1), (1542, 1), (1815, 1), (2279, 1), (2539, 1), (2854, 1), (3242, 1)], [(8, 1), (19, 1), (20, 1), (22, 1), (25, 1), (30, 1), (36, 1), (53, 3), (54, 1), (92, 1), (98, 1), (1010, 1), (1122, 1), (1702, 1), (1806, 1), (2064, 1), (3352, 1), (6602, 1), (7396, 1), (8359, 1), (9172, 1)], [(8, 1), (19, 1), (20, 2), (21, 1), (22, 1), (25, 1), (30, 1), (31, 1), (45, 1), (50, 2), (53, 5), (65, 1), (117, 1), (173, 1), (215, 1), (232, 1), (256, 1), (269, 1), (281, 1), (323, 1), (359, 1), (414, 1), (459, 1), (710, 1), (913, 1), (1287, 1), (1342, 1), (1572, 1), (1731, 1), (1932, 1), (2064, 1), (2965, 1), (2978, 1), (4468, 1), (4632, 1), (6256, 1), (6315, 1), (7680, 1), (7819, 1), (9172, 1), (9626, 1), (12129, 1), (15823, 1), (19190, 1)], [(64, 1), (1178, 1), (7286, 1)], [(64, 1), (946, 1), (1167, 1)], [(20, 1), (53, 1), (64, 1), (66, 1), (117, 1), (185, 1), (232, 1), (281, 1), (286, 1), (709, 1), (1342, 1), (1488, 1), (1580, 1), (1628, 1), (3696, 1), (7286, 1), (11245, 1)], [(20, 2), (58, 1), (64, 1), (66, 1), (172, 1), (293, 1), (357, 1), (949, 1), (4939, 1), (6324, 1)], [(20, 2), (25, 1), (40, 1), (64, 1), (109, 1), (214, 1), (355, 1), (450, 1), (752, 1), (757, 1), (1178, 1), (2523, 1), (4758, 1), (6373, 1), (7286, 1)], [(20, 1), (64, 1), (66, 1), (392, 1), (949, 1), (3409, 1), (5114, 1), (11211, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (23, 1), (25, 1), (32, 1), (37, 1), (50, 1), (53, 2), (64, 1), (90, 1), (117, 1), (193, 3), (232, 1), (262, 1), (263, 1), (269, 1), (448, 2), (516, 1), (600, 1), (680, 1), (757, 1), (1902, 1), (2191, 1), (2366, 1), (4646, 1), (4796, 1), (5161, 1), (7286, 1), (14782, 1), (14783, 1), (17969, 1)], [(20, 1), (23, 1), (51, 1), (55, 1), (66, 1), (242, 1), (506, 1), (645, 1), (1354, 1), (1902, 1), (5158, 1)], [(8, 1), (22, 2), (53, 1), (117, 1), (232, 1), (261, 1), (277, 1), (450, 1), (625, 1), (1354, 1), (3118, 1), (6737, 1), (7286, 1), (18077, 1)], [(18, 1), (20, 3), (21, 2), (22, 1), (29, 1), (34, 1), (50, 1), (53, 2), (58, 1), (64, 1), (82, 2), (90, 1), (117, 1), (232, 1), (287, 2), (288, 1), (334, 1), (507, 1), (645, 1), (897, 1), (1178, 1), (1325, 2), (1580, 2), (1583, 1), (3786, 2), (4146, 1), (7485, 1), (19191, 1), (19192, 1)], [(64, 1), (1178, 1), (1324, 1), (9895, 1)], [(8, 1), (20, 1), (21, 1), (30, 1), (53, 1), (109, 1), (117, 1), (232, 1), (1069, 1), (1572, 1), (2925, 1), (6315, 1), (9149, 1)], [(7, 1), (53, 1), (64, 1), (1178, 1), (1506, 1), (7363, 1)], [(8, 1), (53, 2), (54, 1), (359, 1), (373, 1), (531, 1), (688, 1), (710, 1), (1122, 1), (1487, 1), (1570, 1), (10422, 1)], [(24, 1), (64, 1), (247, 1), (1097, 1)], [(53, 1), (1097, 1), (1178, 1)], [(18, 1), (20, 2), (22, 1), (53, 1), (64, 1), (65, 1), (109, 1), (328, 1), (626, 1), (702, 1), (811, 2), (824, 1), (1178, 1), (1580, 1), (2366, 1), (2492, 1), (2925, 1), (4729, 1), (4942, 1)], [(8, 1), (22, 2), (25, 1), (45, 1), (53, 1), (54, 1), (65, 1), (108, 1), (229, 1), (301, 1), (373, 1), (414, 1), (527, 1), (824, 1), (897, 1), (1012, 1), (2030, 1), (6315, 1), (8580, 1), (11981, 1)], [(8, 1), (20, 4), (22, 2), (25, 1), (31, 2), (50, 2), (53, 8), (55, 1), (85, 1), (94, 1), (108, 1), (109, 2), (173, 1), (185, 1), (193, 1), (197, 1), (347, 1), (373, 1), (420, 1), (450, 1), (680, 1), (697, 1), (709, 1), (711, 1), (824, 1), (1071, 1), (1097, 1), (1342, 1), (1719, 1), (1742, 1), (2014, 1), (2276, 1), (2393, 1), (3554, 1), (3876, 1), (3919, 1), (4652, 1), (5070, 1), (6165, 1), (6983, 1), (10752, 1), (13524, 1), (14198, 1), (16988, 1), (19193, 1)], [(8, 1), (18, 1), (19, 1), (22, 1), (31, 3), (50, 1), (53, 5), (65, 1), (77, 1), (82, 1), (90, 1), (91, 1), (95, 1), (122, 1), (193, 1), (387, 1), (518, 1), (697, 1), (777, 1), (834, 1), (913, 1), (922, 1), (1097, 1), (1738, 1), (2224, 1), (2744, 1), (3349, 1), (5999, 1), (6054, 1), (6055, 1), (9854, 1), (13033, 1), (13598, 1), (16904, 1), (19194, 1), (19195, 1)], [(7, 1), (8, 1), (18, 1), (19, 3), (20, 2), (21, 1), (22, 1), (25, 2), (37, 1), (46, 1), (50, 1), (53, 6), (54, 2), (58, 2), (65, 1), (83, 1), (90, 3), (91, 1), (117, 1), (124, 1), (201, 1), (206, 1), (217, 2), (232, 1), (240, 1), (269, 1), (275, 1), (301, 1), (347, 2), (373, 1), (450, 1), (459, 2), (490, 1), (605, 1), (654, 1), (711, 1), (744, 1), (756, 1), (763, 2), (903, 1), (1097, 2), (1133, 1), (1196, 1), (1506, 1), (1932, 1), (3398, 1), (3523, 1), (3938, 1), (4058, 1), (4299, 1), (4551, 1), (6129, 1), (6315, 1), (8309, 1), (9567, 1), (10515, 1), (11008, 1), (14971, 1), (19196, 1)], [(50, 1), (64, 1), (988, 1), (1178, 1), (8072, 1), (19197, 1)], [(7, 1), (8, 1), (19, 2), (20, 5), (21, 1), (22, 2), (25, 5), (31, 1), (45, 1), (50, 1), (53, 11), (55, 1), (58, 1), (65, 1), (71, 2), (77, 1), (90, 3), (91, 1), (96, 1), (185, 1), (261, 1), (269, 1), (286, 1), (329, 1), (357, 1), (361, 1), (373, 1), (387, 1), (399, 1), (412, 1), (420, 1), (429, 1), (430, 1), (632, 1), (763, 1), (777, 1), (830, 1), (1097, 1), (1198, 1), (1248, 1), (1509, 1), (1541, 1), (1668, 1), (1683, 2), (1824, 1), (2077, 1), (2224, 1), (2253, 1), (2351, 1), (2862, 2), (2917, 1), (2926, 1), (3696, 2), (4841, 1), (5491, 1), (5547, 1), (5704, 1), (6208, 1), (6261, 1), (7286, 1), (7396, 1), (7414, 1), (7463, 1), (7892, 1), (7895, 1), (10231, 1), (13577, 1), (18189, 1), (19198, 1)], [(247, 1), (1583, 1)], [(247, 1), (332, 1), (1580, 1)], [(18, 1), (20, 2), (25, 1), (50, 1), (53, 1), (77, 1), (90, 1), (92, 1), (96, 1), (185, 1), (193, 1), (247, 1), (293, 1), (506, 2), (580, 1), (627, 1), (1758, 1), (1824, 1), (1932, 1), (3540, 1), (4326, 1), (5023, 1), (7464, 1), (18961, 1)], [(8, 1), (20, 1), (22, 1), (25, 1), (31, 1), (37, 1), (53, 1), (63, 1), (77, 1), (215, 1), (259, 1), (307, 1), (487, 1), (506, 1), (661, 1), (2424, 1), (3763, 1), (5839, 1), (13342, 1), (17323, 1), (19199, 1)], [(20, 1), (247, 1), (6689, 1), (7715, 1)], [(22, 1), (31, 1), (33, 1), (247, 1), (357, 1), (506, 1), (686, 1), (1858, 1), (11089, 1), (19200, 1)], [(8, 1), (19, 1), (23, 1), (34, 1), (256, 1), (261, 1), (1470, 1), (1806, 1), (4841, 1), (5816, 1), (5839, 1)], [(21, 1), (22, 1), (50, 1), (117, 1), (232, 1), (256, 1), (308, 1), (309, 1), (505, 1), (1470, 1), (1580, 1), (1714, 1), (1998, 1), (2036, 1), (2862, 1), (2909, 1), (3585, 1), (14720, 1), (15471, 1), (19201, 1)], [(8, 1), (22, 1), (37, 1), (45, 1), (58, 1), (225, 1), (262, 1), (323, 1), (361, 1), (516, 1), (1193, 1), (1766, 1), (2657, 1), (6158, 1)], [(29, 1), (58, 1), (1714, 1), (1824, 1), (1932, 1), (4054, 1), (4841, 1), (19202, 1)], [(20, 2), (21, 1), (58, 1), (247, 1), (708, 1), (3770, 2), (3786, 1), (4408, 1), (6936, 1), (7286, 1), (19203, 1)], [(65, 1), (247, 1), (328, 1), (706, 1), (886, 1), (1334, 1), (3786, 1), (18185, 1)], [(53, 3), (75, 1), (95, 1), (117, 1), (220, 1), (232, 1), (240, 1), (247, 1), (281, 1), (295, 1), (306, 1), (328, 1), (414, 1), (913, 1), (1132, 1), (1580, 1), (1683, 1), (1858, 1), (1902, 1), (2418, 1), (2515, 1), (2812, 1), (3786, 2), (4706, 1), (4841, 1), (6662, 1), (12620, 1), (19204, 1)], [(90, 1), (247, 1), (708, 1), (1458, 1), (2621, 1), (3786, 1), (18832, 1)], [(34, 1), (247, 1)], [(19, 1), (21, 1), (53, 3), (65, 1), (173, 2), (193, 1), (247, 1), (277, 1), (1042, 1), (1137, 1), (1198, 1), (2299, 1), (2332, 1), (2379, 1), (2383, 1), (5137, 1), (6177, 1), (9876, 1), (18905, 1)], [(32, 1), (51, 1), (53, 1), (55, 1), (58, 1), (117, 1), (173, 1), (232, 1), (645, 1), (1323, 1), (1324, 1), (1714, 1), (3786, 1), (19205, 1)], [(20, 2), (34, 1), (90, 1), (117, 1), (357, 1), (1178, 1), (1668, 1), (3786, 1), (5134, 1), (6315, 1), (6945, 1), (7464, 2)], [(7, 1), (8, 1), (18, 3), (19, 1), (20, 4), (21, 1), (22, 2), (24, 1), (25, 1), (30, 1), (45, 1), (53, 8), (65, 2), (71, 1), (82, 1), (90, 1), (95, 1), (109, 2), (170, 1), (173, 1), (193, 1), (215, 1), (256, 1), (305, 1), (317, 1), (347, 2), (414, 1), (420, 1), (435, 1), (452, 1), (488, 1), (697, 1), (706, 1), (707, 1), (884, 1), (913, 1), (1069, 1), (1328, 1), (1348, 1), (1481, 1), (1506, 1), (1644, 1), (2295, 1), (2978, 1), (3134, 1), (3988, 1), (4286, 1), (4532, 1), (4963, 1), (5682, 1), (6315, 1), (6983, 1), (7240, 1), (7985, 2), (9528, 1), (12608, 1), (12953, 1), (15903, 1), (19022, 1)], [(20, 2), (31, 1), (64, 1), (247, 1), (295, 1), (324, 1), (435, 1), (2621, 1), (5134, 1), (7750, 1), (8070, 1)], [(19, 1), (31, 1), (91, 1), (247, 1), (450, 1), (1481, 1), (2621, 1), (13849, 1)], [(18, 2), (22, 1), (25, 3), (71, 1), (247, 1), (256, 1), (268, 2), (295, 1), (327, 1), (387, 1), (506, 1), (581, 2), (654, 1), (810, 1), (1308, 1), (1609, 1), (2418, 1), (2495, 1), (9527, 1), (12416, 1), (14203, 1)], [(247, 1), (2379, 1)], [(1178, 1), (2384, 1)], [(8, 1), (18, 1), (19, 1), (20, 2), (22, 1), (31, 1), (50, 1), (53, 2), (91, 1), (109, 1), (215, 1), (504, 1), (897, 1), (1255, 1), (1524, 1), (1557, 1), (2322, 1), (2340, 1), (3914, 1), (4286, 1), (4623, 1), (4652, 1), (4801, 1), (6615, 1), (6983, 1), (8923, 1), (14527, 1), (15248, 1), (16461, 1), (19206, 1)], [(8, 1), (18, 2), (20, 4), (22, 3), (25, 3), (37, 1), (53, 1), (54, 1), (55, 1), (109, 1), (126, 1), (215, 1), (256, 1), (365, 1), (450, 1), (587, 1), (897, 1), (1080, 1), (1528, 1), (2030, 1), (2366, 1), (2546, 1), (2718, 1), (2719, 1), (2978, 1), (3709, 1), (4468, 1), (4571, 1), (6352, 1), (8018, 1), (14377, 1), (15567, 1), (18450, 1), (19207, 1)], [(8, 1), (18, 2), (20, 1), (22, 1), (25, 1), (31, 2), (50, 1), (53, 2), (58, 1), (108, 1), (338, 1), (428, 1), (626, 1), (897, 1), (1010, 1), (1415, 1), (1416, 1), (4213, 1), (8639, 1), (9048, 1), (13381, 1), (15823, 1), (18223, 1), (19208, 1), (19209, 1)], [(8, 1), (18, 1), (20, 3), (31, 1), (50, 3), (53, 4), (78, 1), (95, 1), (108, 1), (516, 2), (531, 1), (607, 1), (704, 1), (897, 1), (1122, 1), (1467, 1), (1570, 1), (1803, 1), (4128, 1), (4235, 1), (4479, 1), (4652, 1), (5492, 1), (6010, 1), (8484, 1), (8923, 1), (9984, 1), (14628, 1), (14824, 1), (16728, 1), (19210, 1), (19211, 1), (19212, 1)], [(64, 1), (248, 1), (697, 1), (1178, 1)], [(1, 1), (4, 1), (7, 2), (8, 1), (19, 2), (20, 2), (22, 1), (25, 1), (30, 1), (31, 1), (37, 1), (53, 4), (90, 2), (109, 1), (117, 1), (232, 1), (256, 1), (903, 1), (906, 1), (913, 1), (1001, 1), (1262, 1), (1288, 1), (1415, 1), (1462, 1), (2925, 1), (3025, 1), (4372, 1), (5275, 1), (6315, 1), (8200, 1), (10070, 1), (12159, 1), (15331, 1), (19213, 1)], [(8, 1), (18, 1), (20, 5), (22, 3), (24, 1), (25, 3), (31, 1), (45, 2), (50, 3), (53, 5), (69, 1), (78, 1), (85, 1), (91, 1), (109, 1), (117, 2), (124, 1), (173, 1), (215, 1), (232, 1), (256, 1), (269, 1), (329, 1), (399, 1), (414, 1), (418, 1), (426, 1), (450, 1), (623, 1), (632, 1), (654, 1), (706, 1), (776, 1), (778, 1), (913, 2), (1071, 1), (1270, 1), (1596, 1), (1630, 1), (2304, 1), (2340, 1), (2719, 1), (2831, 1), (3049, 1), (3934, 1), (4228, 1), (4282, 1), (6214, 1), (6315, 1), (7881, 1), (8286, 1), (9859, 1), (10070, 1), (12929, 1), (13824, 1), (15858, 1), (19214, 1), (19215, 1), (19216, 1), (19217, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (22, 2), (25, 3), (53, 2), (68, 1), (85, 1), (90, 1), (91, 2), (95, 1), (109, 1), (173, 1), (186, 1), (193, 1), (215, 2), (269, 1), (459, 1), (679, 1), (1416, 1), (1458, 1), (1528, 1), (2185, 1), (2347, 1), (2348, 1), (2406, 1), (2753, 1), (3020, 1), (3256, 1), (3614, 1), (3700, 1), (8017, 1), (8140, 1), (13117, 1)], [(8, 1), (19, 2), (20, 3), (22, 3), (25, 1), (26, 1), (30, 1), (31, 2), (45, 2), (50, 2), (51, 1), (53, 8), (54, 1), (74, 1), (95, 1), (97, 1), (117, 1), (182, 1), (232, 1), (261, 1), (263, 1), (281, 2), (347, 1), (626, 1), (1122, 2), (1224, 1), (1255, 1), (1350, 1), (1568, 1), (2406, 1), (2615, 1), (3557, 1), (3763, 1), (4787, 2), (6315, 1), (7899, 1), (8119, 1), (11714, 1), (12472, 1), (13055, 1), (14269, 1), (14683, 1), (17374, 1), (19218, 1), (19219, 1)], [(8, 1), (24, 1), (45, 1), (75, 1), (109, 1), (2259, 1), (5011, 1)], [(20, 1), (64, 1), (1178, 1), (19220, 1), (19221, 1)], [(18, 1), (20, 1), (21, 1), (31, 1), (174, 1), (247, 1), (669, 1), (1198, 1), (3155, 1), (3542, 1), (4939, 1), (14683, 1)], [(8, 1), (20, 2), (22, 1), (23, 1), (25, 2), (34, 1), (53, 1), (77, 1), (90, 1), (185, 1), (245, 1), (307, 1), (357, 2), (897, 1), (1458, 1), (2633, 1), (2811, 1), (4939, 1), (6298, 1), (8713, 1), (9527, 1), (19159, 1)], [(8, 1), (19, 1), (23, 1), (50, 1), (53, 1), (79, 1), (98, 1), (245, 1), (301, 1), (1867, 1), (2344, 1), (4841, 1)], [(53, 1), (77, 1), (1323, 1), (1714, 1), (2077, 1), (9527, 1)], [(19, 1), (20, 2), (53, 1), (247, 1), (709, 1), (3934, 1), (13980, 1)], [(19, 2), (20, 3), (21, 1), (22, 2), (25, 1), (31, 1), (32, 1), (77, 1), (82, 1), (91, 1), (214, 1), (247, 1), (295, 1), (504, 2), (506, 1), (581, 1), (600, 1), (834, 1), (913, 1), (986, 1), (1342, 1), (1521, 1), (1966, 1), (5161, 1), (6315, 1), (6862, 1), (8465, 1)], [(8, 1), (19, 1), (20, 1), (23, 2), (31, 1), (53, 1), (90, 2), (109, 1), (185, 1), (256, 1), (373, 1), (387, 2), (763, 1), (800, 1), (1963, 1), (2259, 1), (9802, 1)], [(20, 1), (22, 1), (25, 2), (53, 1), (82, 1), (95, 1), (117, 1), (214, 1), (232, 1), (256, 1), (293, 1), (415, 1), (506, 1), (600, 1), (823, 1), (1323, 1), (1580, 2), (1714, 1), (1766, 1), (2633, 1), (3468, 1), (6517, 1)], [(170, 1), (310, 1), (946, 1), (1458, 1)], [(1, 1), (4, 1), (8, 1), (18, 1), (19, 1), (20, 3), (22, 2), (25, 2), (30, 1), (31, 2), (32, 1), (45, 1), (50, 1), (53, 7), (54, 1), (55, 1), (69, 1), (97, 1), (108, 2), (173, 2), (215, 2), (217, 3), (256, 1), (278, 1), (281, 1), (301, 1), (347, 4), (373, 1), (504, 2), (679, 1), (709, 1), (1037, 1), (1102, 1), (1159, 1), (1188, 1), (1348, 1), (1458, 1), (1462, 1), (1488, 1), (1597, 1), (1732, 1), (1820, 1), (1932, 1), (2019, 1), (2035, 1), (2184, 1), (2304, 1), (2344, 1), (2869, 1), (3247, 1), (3803, 1), (4296, 1), (5825, 1), (6602, 1), (6623, 1), (6633, 1), (7395, 1), (11514, 1), (13084, 1)], [(8, 1), (20, 1), (25, 1), (31, 1), (32, 1), (36, 1), (45, 2), (53, 1), (55, 1), (229, 1), (281, 1), (340, 1), (365, 1), (679, 1), (903, 1), (1026, 1), (1308, 1), (1720, 1), (4439, 1), (7097, 1), (10618, 1)], [(64, 1), (247, 1), (1583, 1)], [(8, 1), (19, 1), (20, 4), (32, 1), (53, 1), (58, 1), (64, 1), (77, 1), (82, 1), (260, 1), (278, 1), (361, 1), (1163, 1), (1282, 1), (2925, 1), (3696, 1), (4731, 1), (6315, 1), (7286, 1)], [(247, 1), (4706, 1)], [(1, 1), (4, 1), (8, 1), (82, 1), (245, 1), (4692, 1)], [(20, 2), (30, 1), (77, 1), (90, 1), (122, 1), (357, 2), (1178, 1), (9647, 1), (19222, 1)], [(7, 1), (8, 1), (19, 2), (20, 2), (25, 1), (53, 2), (54, 1), (373, 1), (752, 1), (754, 1), (2479, 1), (4109, 1), (4801, 1), (5270, 1), (5826, 1), (6633, 1), (6983, 1), (10745, 1), (10752, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 5), (25, 1), (30, 2), (53, 3), (54, 1), (82, 1), (117, 1), (173, 2), (193, 2), (215, 2), (232, 1), (278, 1), (293, 1), (331, 1), (410, 1), (420, 1), (488, 2), (602, 1), (707, 1), (777, 1), (990, 1), (2344, 1), (2977, 1), (3114, 1), (3523, 1), (4801, 1), (5068, 1), (6309, 1), (6315, 1), (6615, 1), (7286, 1), (8988, 1), (11960, 1), (19223, 1)], [(8, 1), (19, 2), (20, 5), (22, 1), (25, 2), (31, 2), (53, 4), (65, 1), (91, 1), (97, 1), (173, 1), (193, 1), (217, 1), (256, 1), (317, 1), (347, 1), (418, 1), (459, 2), (608, 1), (632, 1), (726, 1), (913, 1), (1248, 1), (1479, 1), (1481, 1), (1529, 1), (1731, 1), (3614, 1), (4457, 1), (4479, 1), (8103, 1), (8140, 1), (9851, 1), (12159, 1), (12753, 1), (16249, 1), (17655, 1), (18360, 1), (19224, 1)], [(8, 1), (20, 4), (25, 2), (50, 2), (53, 2), (65, 1), (92, 1), (173, 2), (215, 1), (336, 1), (337, 1), (399, 1), (414, 1), (415, 1), (441, 1), (774, 1), (904, 1), (1467, 1), (2064, 1), (2272, 1), (2383, 1), (2719, 1), (7295, 1), (7411, 1), (9916, 1), (10070, 1), (12387, 1), (13493, 1), (17889, 1), (19225, 1)], [(8, 1), (18, 1), (22, 2), (29, 1), (31, 1), (37, 1), (45, 1), (53, 2), (173, 2), (185, 1), (209, 1), (215, 1), (415, 1), (428, 1), (726, 1), (903, 1), (913, 1), (1348, 1), (1602, 1), (2030, 1), (2716, 1), (6371, 1), (12046, 2)], [(8, 1), (173, 1), (301, 1), (15838, 1)], [(8, 1), (18, 1), (19, 3), (20, 5), (25, 3), (32, 1), (53, 3), (54, 1), (58, 1), (65, 2), (90, 2), (108, 1), (109, 1), (111, 1), (170, 1), (173, 1), (293, 1), (317, 2), (323, 1), (331, 1), (347, 1), (706, 1), (1042, 1), (1458, 1), (1731, 1), (2265, 1), (3176, 1), (5486, 1), (6177, 2), (6371, 1), (6495, 1), (7248, 1), (8070, 1), (8084, 1), (8103, 1), (9694, 1), (18905, 1)], [(7, 1), (8, 1), (18, 1), (19, 2), (20, 4), (22, 2), (25, 2), (30, 2), (31, 2), (32, 1), (45, 1), (53, 6), (54, 2), (58, 2), (82, 1), (94, 1), (95, 1), (109, 1), (111, 1), (117, 3), (124, 1), (173, 1), (174, 1), (215, 2), (217, 1), (232, 2), (269, 1), (293, 2), (307, 1), (347, 1), (373, 1), (392, 1), (412, 1), (448, 1), (490, 1), (679, 1), (697, 1), (756, 1), (776, 1), (903, 1), (1037, 1), (1102, 1), (1248, 1), (2253, 1), (2344, 1), (2785, 1), (2911, 1), (3347, 1), (3371, 1), (3388, 1), (3480, 1), (3916, 1), (5657, 1), (7043, 1), (7876, 1), (9743, 1), (10515, 1), (11946, 1), (13602, 1), (14624, 1), (17857, 1), (19226, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 4), (30, 1), (31, 1), (53, 6), (69, 1), (90, 1), (193, 2), (197, 1), (215, 1), (293, 2), (331, 1), (365, 1), (373, 1), (435, 1), (777, 1), (1097, 1), (1430, 1), (1656, 1), (1702, 1), (2014, 1), (2266, 1), (3121, 1), (3351, 1), (3554, 1), (3751, 1), (5548, 1), (5740, 1), (6037, 1), (6315, 1), (6329, 1), (8015, 1), (8341, 1), (10161, 1), (10752, 1), (19227, 1)], [(64, 1), (82, 1), (91, 1), (247, 1), (9860, 1)], [(8, 1), (19, 1), (256, 1), (324, 1), (449, 1), (691, 1), (834, 1), (1467, 1), (10752, 1), (19228, 1)], [(247, 1), (414, 1), (11991, 1)], [(20, 1), (53, 3), (66, 1), (117, 2), (232, 1), (680, 1), (833, 1), (1088, 1), (1176, 1), (1296, 1), (2656, 1), (6047, 1), (11539, 1)], [(20, 2), (25, 1), (53, 1), (64, 1), (193, 1), (197, 1), (265, 1), (301, 1), (949, 1), (1178, 1), (2014, 1), (8797, 2), (9048, 1), (12152, 1)], [(64, 1), (174, 1), (190, 1), (247, 1), (530, 1), (1966, 1), (2344, 1)], [(19, 1), (53, 1), (95, 1), (111, 1), (173, 1), (206, 1), (247, 1), (301, 2), (323, 1), (414, 4), (490, 1), (581, 1), (661, 1), (1097, 1), (1198, 1), (1683, 1), (2145, 1), (2299, 1), (2417, 1), (3786, 1), (5605, 1), (6315, 1), (9896, 2)], [(8, 1), (20, 2), (21, 1), (30, 1), (32, 1), (37, 1), (419, 1), (707, 1), (3760, 1), (4939, 1)], [(24, 1), (247, 1), (4533, 1)], [(53, 1), (88, 1), (247, 1), (4533, 1)], [(8, 1), (19, 1), (25, 1), (30, 1), (50, 2), (53, 3), (293, 1), (373, 1), (418, 1), (498, 1), (506, 1), (1462, 1), (1702, 1), (2159, 1), (2383, 1), (3091, 1), (4282, 1), (4778, 1), (8422, 1), (12159, 1)], [(8, 1), (19, 3), (20, 10), (21, 2), (22, 2), (25, 4), (26, 1), (30, 1), (45, 3), (50, 1), (53, 7), (54, 3), (55, 2), (65, 1), (95, 3), (97, 1), (109, 1), (115, 1), (117, 2), (173, 3), (190, 1), (215, 2), (232, 2), (260, 1), (269, 1), (275, 1), (334, 1), (388, 1), (406, 1), (420, 1), (428, 1), (626, 1), (632, 1), (688, 1), (708, 1), (756, 1), (903, 1), (939, 1), (976, 1), (1012, 1), (1041, 1), (1122, 1), (1348, 1), (1820, 1), (2239, 1), (2359, 1), (2369, 1), (2479, 1), (2543, 1), (2546, 1), (2627, 1), (2732, 1), (2734, 1), (3025, 1), (3468, 1), (3611, 1), (4213, 1), (4473, 1), (5913, 1), (6315, 1), (7383, 1), (7506, 1), (8017, 1), (8580, 1), (8814, 1), (10233, 1), (10515, 1), (10699, 1), (15058, 1), (17132, 1), (18048, 1), (18985, 1), (19229, 1), (19230, 1)], [(1, 1), (4, 1), (8, 1), (18, 2), (19, 2), (20, 7), (22, 1), (25, 2), (31, 1), (45, 1), (50, 1), (53, 6), (58, 2), (82, 1), (90, 1), (97, 1), (108, 1), (124, 1), (172, 1), (173, 1), (209, 1), (215, 1), (217, 2), (285, 1), (293, 1), (305, 1), (347, 1), (365, 1), (373, 1), (428, 2), (504, 1), (654, 1), (776, 1), (777, 1), (897, 1), (988, 1), (1328, 1), (1596, 1), (1732, 1), (1856, 1), (2163, 1), (2469, 1), (2479, 1), (3064, 1), (3870, 1), (4286, 1), (5095, 1), (5492, 1), (6315, 1), (8017, 1), (8323, 1), (10108, 1), (11204, 1), (11956, 1), (11958, 1), (13838, 1), (16886, 1), (17132, 1), (19231, 1)], [(8, 1), (18, 1), (19, 1), (20, 7), (21, 2), (22, 2), (25, 3), (31, 1), (50, 3), (53, 5), (54, 1), (58, 1), (82, 1), (85, 1), (90, 1), (91, 1), (108, 1), (206, 1), (209, 1), (256, 2), (293, 1), (323, 1), (414, 1), (418, 1), (459, 2), (531, 1), (560, 1), (645, 1), (679, 1), (904, 1), (1041, 2), (1106, 1), (1248, 1), (1415, 1), (1458, 2), (1570, 2), (1702, 1), (2070, 1), (2729, 1), (3146, 1), (3430, 1), (3661, 1), (3696, 1), (4299, 1), (4956, 1), (5384, 1), (5976, 1), (6983, 1), (7501, 1), (10016, 1), (11752, 1), (11958, 1), (12159, 1), (15323, 1), (18421, 1), (19232, 1), (19233, 1)], [(8, 1), (18, 1), (20, 3), (50, 1), (53, 2), (55, 1), (92, 1), (365, 1), (678, 1), (756, 1), (814, 1), (2682, 1), (3025, 1), (8786, 1), (9288, 1), (9588, 1), (10083, 1), (10515, 1), (19234, 1)], [(19, 4), (20, 3), (22, 2), (25, 4), (31, 1), (53, 8), (55, 1), (58, 2), (85, 1), (88, 1), (90, 1), (186, 1), (247, 1), (259, 1), (293, 1), (301, 1), (373, 1), (414, 1), (420, 1), (450, 1), (713, 1), (990, 1), (1010, 1), (1122, 1), (1239, 2), (1416, 1), (1467, 1), (1506, 1), (1867, 1), (2812, 1), (2925, 1), (3300, 1), (3331, 1), (3867, 1), (4787, 1), (5144, 1), (5732, 1), (6315, 1), (8437, 1), (14198, 1), (15885, 1), (19235, 1)], [(31, 1), (64, 1), (506, 1), (596, 1), (1714, 1), (9063, 1)], [(22, 1), (247, 1), (757, 1), (1176, 1), (1458, 1), (2985, 1), (8487, 1), (10752, 1), (19132, 1), (19236, 1)], [(247, 1), (10752, 1)], [(30, 1), (31, 1), (281, 1), (1178, 1), (19237, 1)], [(8, 1), (18, 2), (19, 1), (20, 4), (21, 2), (22, 4), (25, 1), (31, 2), (37, 1), (45, 3), (50, 6), (53, 6), (58, 3), (65, 1), (71, 1), (90, 1), (95, 1), (173, 1), (193, 1), (256, 1), (281, 1), (310, 1), (365, 1), (373, 1), (427, 1), (444, 1), (693, 1), (709, 1), (830, 1), (907, 1), (1037, 1), (1041, 1), (1122, 1), (1249, 1), (1668, 1), (1719, 1), (2401, 1), (2548, 1), (2831, 1), (3140, 1), (3594, 1), (4296, 1), (4557, 1), (4845, 1), (4890, 1), (4937, 1), (5464, 1), (6022, 1), (6165, 1), (6221, 1), (6284, 1), (10839, 1), (11313, 1), (12410, 1), (12605, 1), (13158, 1), (15714, 1), (17857, 1), (19238, 1), (19239, 1), (19240, 1)], [(8, 1), (22, 1), (45, 2), (75, 1), (2831, 1), (6315, 1), (6360, 1), (9971, 1)], [(22, 1), (23, 1), (64, 1), (247, 1), (265, 1), (1354, 1), (11314, 1)], [(8, 1), (23, 1), (85, 1), (90, 1), (307, 1), (506, 1), (697, 1), (830, 1), (1580, 1), (1824, 1), (8721, 1), (10573, 1)], [(117, 1), (759, 1), (946, 1), (1224, 1), (2909, 1)], [(24, 1), (64, 1), (95, 1), (247, 1)], [(24, 1), (709, 1), (1178, 1)], [(8, 1), (53, 1), (2925, 1), (4974, 1), (12159, 1)], [(64, 1), (247, 1), (15974, 1)], [(247, 1), (10752, 1)], [(19, 1), (20, 4), (40, 1), (45, 1), (58, 1), (71, 1), (90, 1), (108, 1), (185, 1), (247, 1), (278, 1), (281, 1), (365, 1), (830, 1), (1282, 1), (1342, 1), (2270, 1), (2344, 2), (2799, 1), (2812, 1), (4641, 1), (4841, 1), (4942, 1), (6315, 1), (7237, 1), (19241, 1)], [(23, 1), (34, 1), (53, 1), (247, 1), (392, 1), (709, 1)], [(53, 1), (247, 1), (709, 1)], [(20, 1), (247, 1), (414, 1), (600, 1), (1580, 1), (15048, 1)], [(82, 1), (295, 1), (709, 1), (946, 1), (1580, 1), (3382, 1), (8726, 1)], [(8, 1), (19, 1), (20, 5), (22, 1), (25, 2), (31, 1), (50, 1), (53, 7), (55, 1), (65, 4), (69, 1), (85, 1), (92, 2), (95, 1), (215, 1), (301, 1), (307, 1), (373, 2), (418, 1), (435, 1), (450, 1), (518, 1), (531, 1), (680, 1), (740, 1), (1041, 1), (1241, 1), (1328, 1), (1350, 1), (1506, 1), (1570, 1), (2234, 1), (2320, 1), (2324, 1), (2753, 1), (2870, 1), (3977, 1), (4116, 1), (5328, 1), (6248, 1), (6625, 1), (7501, 1), (8475, 1), (10607, 1), (12159, 1), (12210, 1), (13584, 1), (18057, 1), (18310, 1), (19242, 1), (19243, 1)], [(8, 1), (18, 1), (20, 7), (22, 2), (25, 2), (29, 1), (30, 2), (31, 1), (45, 2), (50, 1), (53, 3), (55, 1), (65, 4), (75, 1), (85, 1), (90, 1), (108, 1), (109, 1), (117, 1), (173, 1), (215, 4), (229, 1), (232, 1), (269, 1), (281, 1), (309, 1), (310, 1), (317, 1), (381, 1), (706, 1), (774, 1), (897, 1), (1071, 1), (1350, 1), (1392, 1), (1462, 1), (1529, 1), (1570, 1), (1627, 1), (1668, 1), (1720, 1), (1731, 1), (2256, 1), (2332, 1), (2965, 1), (5169, 1), (5496, 1), (6177, 1), (6495, 1), (7286, 1), (7295, 1), (7332, 1), (8103, 1), (9154, 1), (10820, 1), (11106, 1), (19244, 1), (19245, 1)], [(20, 1), (24, 1), (53, 1), (64, 1), (95, 2), (247, 1)], [(20, 1), (186, 1), (247, 1), (1009, 1), (4533, 2)], [(20, 2), (32, 1), (37, 1), (50, 1), (247, 1), (295, 1), (506, 1), (688, 1), (1010, 1), (1583, 1), (4167, 1), (5871, 1), (16564, 1)], [(8, 1), (18, 1), (20, 2), (31, 1), (82, 1), (117, 1), (173, 1), (203, 1), (232, 1), (496, 1), (504, 1), (4896, 1), (5161, 2), (5264, 1), (7286, 1), (9083, 1)], [(20, 2), (21, 1), (23, 1), (53, 1), (247, 1), (273, 1), (295, 1), (1009, 1), (1088, 1), (4533, 1), (6679, 1)], [(53, 1), (247, 1), (1088, 1)], [(37, 1), (50, 1), (53, 1), (185, 1), (1580, 1), (1714, 1), (2862, 1), (2909, 1), (4661, 1), (5708, 1)], [(37, 1), (65, 1), (174, 1), (505, 1), (1580, 1), (1714, 1), (19246, 1)], [(8, 1), (20, 4), (608, 1), (1583, 1), (3886, 1), (4841, 1), (6315, 2)], [(247, 1), (1333, 1)], [(8, 1), (20, 1), (6228, 1), (7362, 1)], [(20, 1), (247, 1), (2279, 1), (3755, 1)], [(247, 1), (1009, 1), (1458, 1), (4533, 1)], [(19, 1), (36, 1), (247, 1), (434, 1), (1476, 1), (4787, 1)], [(8, 1), (20, 2), (30, 1), (45, 1), (173, 1), (246, 1), (269, 1), (414, 1), (433, 1), (1072, 1), (1583, 1), (3301, 1), (5053, 1), (7394, 1), (7453, 1), (8497, 1), (19247, 1)], [(7, 1), (20, 1), (32, 1), (332, 1), (506, 1), (800, 1), (1178, 1), (1193, 1)], [(7, 1), (8, 1), (20, 4), (22, 1), (32, 1), (64, 1), (82, 1), (90, 1), (99, 1), (108, 1), (190, 1), (214, 1), (226, 1), (256, 1), (278, 1), (506, 2), (800, 1), (1487, 1), (2912, 1), (3597, 1), (7272, 1), (7295, 2), (7363, 1)], [(20, 1), (23, 1), (95, 1), (193, 1), (245, 1), (247, 1), (357, 1), (1991, 1), (3088, 1)], [(20, 2), (40, 1), (111, 1), (117, 1), (220, 1), (229, 1), (232, 1), (256, 1), (1714, 1), (2010, 1), (2159, 1), (2466, 1), (3723, 1), (7295, 3), (19248, 1)], [(18, 1), (19, 1), (22, 1), (32, 1), (37, 1), (55, 1), (58, 1), (77, 1), (90, 1), (178, 1), (247, 1), (278, 1), (281, 1), (285, 1), (331, 1), (378, 1), (459, 1), (866, 1), (2471, 1), (3103, 1), (7295, 1), (19249, 1), (19250, 1)], [(20, 1), (23, 1), (95, 1), (193, 1), (245, 1), (247, 1), (357, 1), (1991, 1), (3088, 1)], [(20, 3), (25, 1), (247, 1), (295, 1), (1670, 1), (3426, 1), (4965, 1), (7943, 1)], [(8, 1), (18, 1), (23, 1), (40, 1), (45, 1), (50, 1), (186, 1), (215, 2), (295, 1), (1015, 1), (1180, 1), (2178, 1), (3633, 1), (6786, 1), (19251, 1)], [(20, 2), (23, 1), (37, 1), (53, 1), (55, 1), (75, 1), (90, 1), (247, 1), (256, 1), (264, 1), (285, 2), (286, 1), (295, 2), (1824, 1), (5491, 1), (10110, 1)], [(20, 1), (247, 1), (1583, 1), (5134, 1)], [(20, 1), (247, 1), (5134, 2)], [(20, 1), (50, 1), (71, 1), (95, 1), (117, 1), (247, 1), (256, 1), (328, 1), (357, 1), (1627, 1), (2564, 1), (2854, 1), (3088, 1), (19252, 1)], [(20, 1), (82, 1), (247, 1), (295, 1), (497, 1), (1845, 1), (4942, 1), (6315, 1)], [(19, 1), (20, 1), (22, 1), (25, 1), (31, 1), (45, 1), (58, 1), (247, 1), (286, 1), (498, 1), (506, 1), (708, 1), (3360, 1), (4572, 1), (5161, 1), (7295, 1), (9703, 1)], [(20, 1), (25, 1), (126, 1), (247, 1), (407, 1), (777, 1), (983, 1), (1102, 1), (1902, 1), (1947, 1), (14117, 1), (19253, 1)], [(247, 1), (19253, 1)], [(247, 1), (19253, 1)], [(20, 2), (108, 1), (269, 1), (419, 1), (1178, 1), (1583, 1), (2270, 1), (2332, 1), (5161, 1), (7411, 1), (18754, 1)], [(64, 1), (1714, 1), (19254, 1)], [(8, 1), (23, 1), (90, 1), (265, 1), (419, 1), (459, 1), (711, 1), (1139, 1), (1177, 1), (1308, 1)], [(19, 1), (20, 4), (22, 1), (23, 1), (32, 1), (53, 1), (65, 1), (66, 1), (77, 1), (82, 1), (108, 1), (117, 1), (178, 1), (185, 1), (186, 1), (190, 1), (232, 1), (504, 1), (702, 1), (1159, 1), (1488, 1), (1520, 1), (1580, 2), (1583, 1), (1596, 1), (2031, 1), (2099, 1), (2270, 1), (3689, 1), (3701, 1), (7295, 1), (19255, 1)], [(8, 1), (18, 1), (19, 1), (20, 8), (22, 2), (25, 1), (30, 1), (31, 1), (32, 1), (37, 2), (45, 1), (50, 2), (53, 3), (95, 1), (97, 1), (109, 2), (117, 1), (173, 1), (215, 2), (232, 1), (261, 1), (281, 1), (307, 1), (347, 1), (427, 1), (450, 3), (632, 2), (706, 1), (709, 1), (711, 1), (1241, 1), (1354, 1), (1385, 1), (1731, 1), (2148, 1), (2340, 1), (2581, 1), (2718, 1), (2719, 1), (2820, 1), (3025, 1), (3100, 1), (4282, 1), (4549, 1), (5325, 1), (5710, 1), (5794, 1), (5913, 1), (7097, 1), (8154, 1), (8425, 1), (9847, 1), (11838, 1), (12046, 1), (13803, 1), (14223, 1), (19216, 1), (19256, 1), (19257, 1)], [(8, 1), (20, 5), (25, 2), (31, 1), (37, 1), (45, 2), (50, 2), (53, 2), (90, 1), (117, 1), (166, 1), (232, 1), (459, 1), (600, 1), (645, 1), (709, 1), (778, 1), (1057, 1), (1328, 1), (1685, 1), (1686, 1), (2789, 1), (2831, 1), (2985, 1), (3899, 1), (3916, 1), (4136, 1), (4353, 1), (4568, 1), (4938, 1), (5065, 1), (8266, 1), (9971, 1), (11714, 1), (19258, 1), (19259, 1)], [(8, 1), (281, 1), (450, 1), (757, 1), (1415, 1), (2402, 1), (8787, 1)], [(8, 1), (20, 1), (50, 1), (53, 2), (65, 1), (306, 1), (414, 1), (450, 1), (516, 1), (551, 1), (775, 1), (1481, 1), (3798, 1), (5568, 1), (12073, 1), (12158, 1), (19260, 1)], [(8, 1), (18, 1), (20, 2), (53, 2), (215, 1), (310, 1), (711, 1), (2030, 1), (4652, 1), (5121, 1), (5197, 1), (10206, 1), (10699, 1), (15897, 1), (19261, 1)], [(24, 1), (64, 1), (247, 1), (709, 1)], [(24, 1), (53, 1), (1178, 1), (2077, 1), (3786, 1), (9527, 2)], [(22, 1), (53, 1), (64, 1), (71, 1), (109, 1), (166, 1), (373, 1), (924, 1), (1041, 1), (1178, 1), (1308, 1), (1517, 1), (2925, 1), (6315, 1)], [(8, 1), (18, 2), (19, 1), (20, 7), (22, 1), (50, 1), (53, 4), (95, 1), (108, 1), (117, 1), (173, 1), (232, 1), (256, 2), (373, 1), (388, 1), (415, 1), (460, 1), (680, 1), (708, 1), (709, 1), (1041, 1), (1071, 1), (1139, 1), (1328, 1), (1342, 1), (1348, 1), (1458, 1), (1487, 1), (1520, 1), (1528, 1), (1574, 1), (2324, 1), (2543, 1), (3611, 1), (4801, 1), (6315, 1), (7463, 1), (8923, 1), (11868, 1), (12611, 1), (14619, 1), (19262, 1)], [(8, 1), (23, 1), (26, 1), (53, 1), (64, 1), (109, 1), (990, 1), (1580, 1), (3426, 1)], [(20, 1), (247, 1), (596, 1), (3961, 1), (8103, 1)], [(8, 1), (498, 1), (506, 1), (809, 1), (4841, 1), (6495, 1)], [(247, 1), (1583, 1)], [(20, 2), (22, 3), (25, 3), (50, 1), (65, 3), (247, 1), (295, 1), (357, 2), (709, 1), (983, 1), (1007, 1), (1248, 1), (1308, 1), (1932, 1), (2064, 1), (2495, 1), (4533, 1), (4557, 1), (5682, 1), (5757, 1), (6090, 1), (6165, 1), (7463, 1), (7913, 1), (8394, 1), (13507, 1), (19263, 1), (19264, 1), (19265, 1)], [(20, 1), (25, 1), (203, 1), (295, 1), (506, 1), (654, 1), (897, 1), (1714, 1), (7482, 1)], [(23, 1), (50, 1), (53, 1), (109, 1), (703, 1), (708, 1), (1714, 1), (2015, 1), (2344, 1), (4944, 1), (8399, 1), (8459, 1), (11264, 1), (12279, 1)], [(20, 1), (247, 1), (414, 1), (505, 1), (983, 1), (1583, 1), (5270, 2)], [(8, 1), (20, 1), (23, 1), (31, 1), (32, 1), (262, 1), (1580, 2), (1583, 1), (1815, 1), (4229, 1), (6432, 1), (13118, 2)], [(20, 1), (247, 1), (3961, 1), (12620, 1)], [(20, 3), (25, 1), (31, 1), (32, 1), (37, 1), (50, 2), (109, 1), (185, 1), (247, 1), (269, 1), (295, 2), (324, 1), (505, 1), (983, 1), (1297, 1), (1580, 2), (2985, 1), (3540, 1), (3746, 1), (5121, 1), (5157, 1), (10993, 1), (10995, 1), (19266, 1), (19267, 1)], [(8, 1), (19, 1), (20, 1), (22, 3), (23, 4), (29, 1), (37, 1), (53, 1), (55, 1), (65, 1), (95, 1), (108, 1), (109, 1), (117, 2), (130, 1), (193, 2), (232, 2), (245, 4), (256, 1), (357, 1), (669, 1), (1432, 1), (1580, 1), (2344, 2), (3102, 1), (4798, 1), (6734, 1), (9988, 1), (15217, 1), (19268, 1), (19269, 1), (19270, 1)], [(19, 1), (25, 1), (37, 2), (247, 1), (269, 1), (1759, 1), (2440, 1), (12959, 1), (17517, 1), (18240, 1)], [(19, 2), (20, 4), (25, 1), (71, 1), (95, 1), (245, 2), (247, 1), (357, 1), (498, 1), (506, 1), (581, 1), (605, 1), (713, 1), (897, 1), (1102, 1), (1529, 1), (1542, 1), (1702, 1), (2291, 1), (2495, 1), (3849, 1), (6290, 1), (10891, 1)], [(20, 1), (23, 1), (53, 1), (186, 1), (691, 1), (1178, 1), (8940, 1), (19271, 1)], [(8, 1), (22, 2), (24, 1), (53, 3), (54, 1), (55, 1), (92, 1), (95, 1), (377, 1), (1026, 1), (1239, 1), (1462, 1), (1902, 1), (2259, 1), (2456, 1), (3025, 1), (3095, 1), (3611, 2), (8278, 1), (13751, 1)], [(8, 1), (19, 1), (20, 3), (22, 2), (25, 1), (30, 1), (50, 1), (53, 4), (54, 2), (58, 2), (85, 1), (170, 1), (173, 3), (215, 1), (256, 1), (300, 2), (373, 1), (450, 1), (774, 1), (792, 1), (990, 1), (1122, 1), (1506, 1), (1528, 1), (1644, 1), (2270, 1), (2383, 1), (3308, 1), (3355, 1), (6315, 1), (10006, 1), (16368, 1), (19272, 1), (19273, 1), (19274, 1)], [(8, 1), (20, 4), (25, 1), (31, 2), (50, 1), (53, 4), (65, 2), (85, 1), (117, 1), (220, 1), (232, 1), (259, 1), (310, 1), (365, 1), (531, 1), (1041, 1), (1540, 1), (1570, 1), (2667, 1), (2862, 1), (3095, 1), (3226, 1), (3304, 1), (3378, 1), (4641, 1), (5562, 1), (6544, 1), (6735, 1), (12017, 1), (13367, 1), (15714, 1)], [(8, 1), (20, 1), (22, 1), (53, 1), (117, 1), (232, 1), (286, 1), (373, 1), (531, 1), (897, 1), (1506, 1), (1570, 1), (1702, 1), (1821, 1), (2296, 1), (2406, 1)], [(24, 1), (64, 1), (709, 1), (1714, 1)], [(20, 1), (53, 1), (77, 1), (332, 1), (709, 1), (946, 1), (1139, 1), (7699, 1)], [(7, 1), (8, 1), (19, 1), (20, 6), (22, 2), (31, 1), (50, 1), (53, 4), (85, 1), (92, 1), (111, 2), (215, 1), (365, 1), (414, 1), (450, 2), (627, 1), (680, 1), (711, 1), (726, 1), (765, 1), (775, 1), (776, 1), (979, 1), (1159, 1), (1308, 1), (1529, 1), (1702, 1), (1890, 1), (2424, 1), (3560, 1), (3983, 1), (4143, 1), (4383, 1), (8544, 1), (9773, 1), (10140, 1), (10957, 1), (16367, 1), (19086, 1), (19275, 1), (19276, 1), (19277, 1), (19278, 1), (19279, 1), (19280, 1), (19281, 1)], [(8, 1), (20, 8), (25, 6), (31, 1), (32, 1), (37, 2), (50, 2), (53, 3), (65, 1), (85, 1), (197, 1), (269, 1), (331, 1), (373, 1), (705, 1), (1041, 1), (1122, 2), (1129, 1), (1379, 1), (1392, 1), (1506, 1), (1668, 1), (3178, 1), (4442, 1), (4638, 1), (6129, 1), (6770, 1), (7437, 1), (9774, 1), (11987, 1), (12062, 1), (13648, 1), (15248, 1), (19282, 1), (19283, 1), (19284, 1)], [(8, 1), (18, 3), (19, 1), (20, 7), (25, 2), (31, 2), (50, 4), (53, 11), (55, 2), (69, 1), (78, 1), (90, 1), (97, 1), (174, 1), (193, 2), (215, 1), (301, 1), (329, 1), (394, 1), (430, 1), (460, 1), (706, 1), (711, 1), (777, 2), (904, 1), (1010, 1), (1069, 1), (1520, 1), (1570, 1), (1824, 2), (1902, 1), (1965, 2), (2039, 1), (2323, 1), (2332, 1), (2344, 1), (2681, 1), (2953, 1), (3177, 1), (4583, 1), (4721, 1), (5157, 1), (6177, 2), (6495, 1), (8150, 1), (8453, 1), (9809, 1), (9921, 1), (12749, 1), (13522, 1), (14409, 2), (15823, 1), (18934, 1), (19268, 1), (19285, 1), (19286, 1), (19287, 1), (19288, 1), (19289, 1)], [(8, 1), (18, 1), (19, 2), (20, 13), (22, 3), (25, 7), (31, 2), (32, 1), (45, 5), (50, 3), (53, 8), (55, 4), (58, 1), (65, 3), (82, 1), (90, 2), (97, 1), (109, 1), (126, 1), (185, 1), (193, 1), (218, 2), (285, 1), (293, 1), (310, 1), (328, 2), (347, 2), (399, 1), (516, 1), (672, 1), (709, 1), (924, 1), (983, 1), (1001, 2), (1041, 2), (1042, 1), (1057, 1), (1071, 1), (1080, 1), (1159, 1), (1322, 1), (1432, 1), (1587, 1), (1596, 1), (2036, 1), (2340, 1), (2348, 1), (2351, 1), (2466, 1), (2501, 1), (2543, 1), (2556, 1), (2712, 1), (2799, 1), (2985, 1), (3072, 1), (3403, 1), (3686, 1), (4214, 1), (4226, 1), (4479, 1), (4539, 1), (4578, 1), (5137, 1), (6177, 2), (6206, 1), (6315, 1), (6416, 1), (6495, 2), (6601, 1), (7726, 1), (7943, 1), (8103, 1), (8395, 1), (9588, 1), (10056, 1), (10846, 1), (11063, 1), (13374, 1), (14527, 1), (14584, 1), (17600, 1), (18311, 1), (18832, 1), (19290, 1), (19291, 1), (19292, 1), (19293, 1), (19294, 1)], [(8, 1), (18, 1), (20, 1), (22, 2), (25, 1), (37, 1), (50, 1), (53, 3), (58, 1), (215, 1), (305, 1), (334, 1), (346, 1), (365, 1), (379, 1), (414, 1), (432, 1), (609, 1), (777, 1), (778, 1), (897, 1), (1041, 1), (1157, 1), (1403, 1), (1653, 1), (1824, 1), (1940, 1), (2163, 2), (2872, 1), (3095, 1), (3121, 1), (4532, 1), (4950, 1), (4969, 1), (5025, 1), (7438, 1), (8941, 1), (12196, 1)], [(19295, 1)], [(8, 1), (23, 1), (64, 2), (499, 1), (540, 1), (593, 1), (7060, 1), (10130, 1), (18261, 1), (19296, 1), (19297, 1), (19298, 1)], [(8, 1), (24, 1), (117, 1), (232, 1), (3181, 1), (18007, 1)], [(8, 1), (53, 1), (161, 1), (226, 1), (269, 2), (792, 1), (897, 1), (1683, 1), (1747, 1), (1845, 1), (2258, 1), (4482, 1), (4699, 1), (11673, 1), (17563, 1)], [(8, 1), (19, 1), (20, 6), (22, 1), (23, 1), (50, 2), (53, 8), (54, 2), (85, 1), (88, 1), (90, 2), (109, 1), (117, 2), (122, 1), (173, 1), (232, 2), (283, 1), (293, 1), (323, 1), (337, 1), (361, 1), (373, 1), (414, 1), (420, 2), (459, 1), (600, 1), (922, 1), (1248, 1), (2070, 1), (2083, 1), (2184, 1), (2344, 1), (2469, 1), (2991, 1), (3403, 1), (5011, 1), (5622, 1), (6315, 1), (9843, 1), (9851, 1), (11535, 1), (13114, 2), (14683, 1), (18837, 1)], [(8, 1), (20, 6), (23, 1), (25, 1), (31, 1), (50, 3), (53, 5), (54, 1), (58, 1), (241, 1), (256, 1), (263, 1), (414, 1), (420, 1), (433, 1), (506, 1), (705, 1), (709, 1), (897, 1), (1557, 1), (1668, 1), (2099, 1), (2648, 1), (4862, 1), (5089, 1), (11476, 1), (14502, 1), (19284, 1), (19299, 1), (19300, 1), (19301, 1)], [(8, 1), (18, 1), (19, 1), (20, 1), (23, 1), (58, 2), (347, 1), (1759, 1), (3013, 1), (5089, 1), (10723, 1), (10817, 1)], [(8, 1), (20, 3), (23, 1), (25, 2), (40, 1), (50, 1), (53, 2), (65, 1), (90, 1), (193, 1), (433, 1), (516, 2), (792, 1), (897, 1), (1122, 1), (1557, 1), (2265, 1), (2401, 1), (2881, 1), (4865, 1), (5247, 1), (5580, 1), (8542, 1), (10055, 1), (10177, 1), (13835, 1), (19302, 1)], [(7, 2), (8, 1), (19, 1), (20, 9), (22, 1), (25, 3), (32, 1), (50, 1), (53, 3), (55, 1), (65, 1), (90, 1), (109, 1), (334, 2), (365, 1), (505, 1), (632, 1), (777, 1), (1041, 2), (1415, 1), (1528, 1), (1580, 1), (1609, 1), (2190, 1), (2197, 1), (2401, 1), (2546, 1), (2611, 1), (2680, 1), (3658, 1), (4116, 1), (4379, 1), (4488, 1), (4970, 1), (6411, 1), (6983, 1), (8542, 1), (10583, 1), (13712, 1), (15329, 1), (19303, 1), (19304, 1)], [(7, 1), (8, 1), (18, 1), (20, 2), (23, 1), (25, 2), (69, 1), (90, 1), (108, 1), (186, 1), (269, 1), (361, 1), (414, 1), (1042, 1), (1224, 1), (1609, 1), (2190, 1), (2985, 1), (3103, 1), (19305, 1), (19306, 1)], [(7, 1), (8, 1), (20, 1), (22, 1), (24, 1), (53, 1), (55, 2), (65, 1), (215, 1), (365, 1), (414, 1), (450, 1), (504, 1), (711, 1), (1097, 1), (2228, 1), (2712, 1), (3751, 1), (6893, 1), (14326, 1), (14357, 1), (15250, 1), (19307, 1), (19308, 1)], [(8, 1), (18, 1), (20, 3), (25, 1), (53, 1), (186, 1), (193, 1), (361, 1), (506, 1), (707, 1), (752, 1), (1549, 1), (2077, 1), (2344, 1), (2392, 1), (3791, 1), (6332, 1)], [(8, 1), (20, 2), (31, 1), (53, 1), (54, 1), (65, 1), (90, 1), (122, 1), (337, 1), (894, 1), (1128, 1), (1159, 2), (1308, 1), (2265, 1), (4738, 1), (4758, 1), (8343, 1), (11490, 1), (18719, 1), (19309, 1), (19310, 1)]]
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