Given an array S of n integers, are there elements a, b, c in S such that a + b + c = 0? Find all unique triplets in the array which gives the sum of zero.
Note: The solution set must not contain duplicate triplets.
For example, given array S = [-1, 0, 1, 2, -1, -4],
A solution set is: [ [-1, 0, 1], [-1, -1, 2] ]
In [1]:
import pdb
class Solution(object):
def threeSum(self, nums):
"""
:type nums: List[int]
:rtype: list[list[int]]
"""
nums_len = len(nums)
nums.sort()
result = list()
i = 0
# pdb.set_trace()
while i < nums_len - 2:
tmp = 0 - nums[i]
j = i + 1
while j < nums_len - 1:
tmp1 = tmp - nums[j]
if tmp1 in nums[j+1:]:
tmp_list = [nums[i], nums[j], tmp1]
if tmp_list not in result:
result.append(tmp_list)
j += 1
i += 1
return result
In [4]:
Solution().threeSum([82597,-9243,62390,83030,-97960,-26521,-61011,83390,-38677,12333,75987,46091,83794,19355,-71037,-6242,-28801,324,1202,-90885,-2989,-95597,-34333,35528,5680,89093,-90606,50360,-29393,-27012,53313,65213,99818,-82405,-41661,-3333,-51952,72135,-1523,26377,74685,96992,92263,15929,5467,-99555,-43348,-41689,-60383,-3990,32165,65265,-72973,-58372,12741,-48568,-46596,72419,-1859,34153,62937,81310,-61823,-96770,-54944,8845,-91184,24208,-29078,31495,65258,14198,85395,70506,-40908,56740,-12228,-40072,32429,93001,68445,-73927,25731,-91859,-24150,10093,-60271,-81683,-18126,51055,48189,-6468,25057,81194,-58628,74042,66158,-14452,-49851,-43667,11092,39189,-17025,-79173,13606,83172,92647,-59741,19343,-26644,-57607,82908,-20655,1637,80060,98994,39331,-31274,-61523,91225,-72953,13211,-75116,-98421,-41571,-69074,99587,39345,42151,-2460,98236,15690,-52507,-95803,-48935,-46492,-45606,-79254,-99851,52533,73486,39948,-7240,71815,-585,-96252,90990,-93815,93340,-71848,58733,-14859,-83082,-75794,-82082,-24871,-15206,91207,-56469,-93618,67131,-8682,75719,87429,-98757,-7535,-24890,-94160,85003,33928,75538,97456,-66424,-60074,-8527,-28697,-22308,2246,-70134,-82319,-10184,87081,-34949,-28645,-47352,-83966,-60418,-15293,-53067,-25921,55172,75064,95859,48049,34311,-86931,-38586,33686,-36714,96922,76713,-22165,-80585,-34503,-44516,39217,-28457,47227,-94036,43457,24626,-87359,26898,-70819,30528,-32397,-69486,84912,-1187,-98986,-32958,4280,-79129,-65604,9344,58964,50584,71128,-55480,24986,15086,-62360,-42977,-49482,-77256,-36895,-74818,20,3063,-49426,28152,-97329,6086,86035,-88743,35241,44249,19927,-10660,89404,24179,-26621,-6511,57745,-28750,96340,-97160,-97822,-49979,52307,79462,94273,-24808,77104,9255,-83057,77655,21361,55956,-9096,48599,-40490,-55107,2689,29608,20497,66834,-34678,23553,-81400,-66630,-96321,-34499,-12957,-20564,25610,-4322,-58462,20801,53700,71527,24669,-54534,57879,-3221,33636,3900,97832,-27688,-98715,5992,24520,-55401,-57613,-69926,57377,-77610,20123,52174,860,60429,-91994,-62403,-6218,-90610,-37263,-15052,62069,-96465,44254,89892,-3406,19121,-41842,-87783,-64125,-56120,73904,-22797,-58118,-4866,5356,75318,46119,21276,-19246,-9241,-97425,57333,-15802,93149,25689,-5532,95716,39209,-87672,-29470,-16324,-15331,27632,-39454,56530,-16000,29853,46475,78242,-46602,83192,-73440,-15816,50964,-36601,89758,38375,-40007,-36675,-94030,67576,46811,-64919,45595,76530,40398,35845,41791,67697,-30439,-82944,63115,33447,-36046,-50122,-34789,43003,-78947,-38763,-89210,32756,-20389,-31358,-90526,-81607,88741,86643,98422,47389,-75189,13091,95993,-15501,94260,-25584,-1483,-67261,-70753,25160,89614,-90620,-48542,83889,-12388,-9642,-37043,-67663,28794,-8801,13621,12241,55379,84290,21692,-95906,-85617,-17341,-63767,80183,-4942,-51478,30997,-13658,8838,17452,-82869,-39897,68449,31964,98158,-49489,62283,-62209,-92792,-59342,55146,-38533,20496,62667,62593,36095,-12470,5453,-50451,74716,-17902,3302,-16760,-71642,-34819,96459,-72860,21638,47342,-69897,-40180,44466,76496,84659,13848,-91600,-90887,-63742,-2156,-84981,-99280,94326,-33854,92029,-50811,98711,-36459,-75555,79110,-88164,-97397,-84217,97457,64387,30513,-53190,-83215,252,2344,-27177,-92945,-89010,82662,-11670,86069,53417,42702,97082,3695,-14530,-46334,17910,77999,28009,-12374,15498,-46941,97088,-35030,95040,92095,-59469,-24761,46491,67357,-66658,37446,-65130,-50416,99197,30925,27308,54122,-44719,12582,-99525,-38446,-69050,-22352,94757,-56062,33684,-40199,-46399,96842,-50881,-22380,-65021,40582,53623,-76034,77018,-97074,-84838,-22953,-74205,79715,-33920,-35794,-91369,73421,-82492,63680,-14915,-33295,37145,76852,-69442,60125,-74166,74308,-1900,-30195,-16267,-60781,-27760,5852,38917,25742,-3765,49097,-63541,98612,-92865,-30248,9612,-8798,53262,95781,-42278,-36529,7252,-27394,-5021,59178,80934,-48480,-75131,-54439,-19145,-48140,98457,-6601,-51616,-89730,78028,32083,-48904,16822,-81153,-8832,48720,-80728,-45133,-86647,-4259,-40453,2590,28613,50523,-4105,-27790,-74579,-17223,63721,33489,-47921,97628,-97691,-14782,-65644,18008,-93651,-71266,80990,-76732,-47104,35368,28632,59818,-86269,-89753,34557,-92230,-5933,-3487,-73557,-13174,-43981,-43630,-55171,30254,-83710,-99583,-13500,71787,5017,-25117,-78586,86941,-3251,-23867,-36315,75973,86272,-45575,77462,-98836,-10859,70168,-32971,-38739,-12761,93410,14014,-30706,-77356,-85965,-62316,63918,-59914,-64088,1591,-10957,38004,15129,-83602,-51791,34381,-89382,-26056,8942,5465,71458,-73805,-87445,-19921,-80784,69150,-34168,28301,-68955,18041,6059,82342,9947,39795,44047,-57313,48569,81936,-2863,-80932,32976,-86454,-84207,33033,32867,9104,-16580,-25727,80157,-70169,53741,86522,84651,68480,84018,61932,7332,-61322,-69663,76370,41206,12326,-34689,17016,82975,-23386,39417,72793,44774,-96259,3213,79952,29265,-61492,-49337,14162,65886,3342,-41622,-62659,-90402,-24751,88511,54739,-21383,-40161,-96610,-24944,-602,-76842,-21856,69964,43994,-15121,-85530,12718,13170,-13547,69222,62417,-75305,-81446,-38786,-52075,-23110,97681,-82800,-53178,11474,35857,9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Out[4]:
Time Limit Exceeded 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下面是从网上查找到的答案，我只写出了一个O(n3)的遍历算法，始终想不起来好的算法应该找什么样。导致上面的大数组没有通过而超时。
In [2]:
class Solution(object):
def threeSum(self, nums):
"""
根据two_sum的经验，将three_sum改成n次two_sum就好了
需要谨慎的是要检查重复问题。
:type nums: List[int]
:rtype: list[list[int]]
"""
nums_len = len(nums)
# 数组排序，以便查找
nums.sort()
result = list()
for i in range(0, nums_len - 2):
# 去掉目标重复
if i and nums[i] == nums[i - 1]:
continue
target = 0 - nums[i]
left, right = i + 1, nums_len - 1
while left < right:
if nums[left] + nums[right] == target:
result.append([nums[i], nums[left], nums[right]])
left += 1
right -= 1
# 去掉左侧数值重复
while left < right and nums[left] == nums[left - 1]:
left += 1
# 去掉右侧数值重复
while left < right and nums[right] == nums[right + 1]:
right -= 1
elif nums[left] + nums[right] > target:
right -= 1
else:
left += 1
return result
In [3]:
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