In [1]:
def spin(sequence_numbers, n):
return sequence_numbers[-n:] + sequence_numbers[:-n]
In [12]:
def exchange(sequence_numbers, a, b):
sequence_numbers[a], sequence_numbers[b] = sequence_numbers[b], sequence_numbers[a]
return sequence_numbers
In [13]:
def partner(sequence_numbers, a, b):
exchange_a = sequence_numbers.index(a)
exchange_b = sequence_numbers.index(b)
return exchange(sequence_numbers, exchange_a, exchange_b)
In [14]:
def parse_command_string(command_string):
output_commands = []
for command in command_string.split(','):
command_char, arguments = command[0], command[1:]
arguments = list(map(int, arguments.split('/')))
output_commands.append((command_char_dict[command_char], arguments))
return output_commands
In [21]:
command_char_dict = {'s':spin, 'x':exchange, 'p':partner}
In [22]:
def dance(sequence, command_string):
sequence_letters = dict()
sequence_numbers = list()
for i,char in enumerate(sequence):
sequence_letters[i] = char
sequence_numbers.append(i)
for function, args in parse_command_string(command_string):
sequence_numbers = function(sequence_numbers, *args)
return ''.join([sequence_letters[i] for i in sequence_numbers])
In [23]:
dance('abcde','s1,x3/4,p4/1')
Out[23]:
In [24]:
dance('dbagcfe','s4,s5,x5/3,x5/6,s5,s3,x0/3,x3/6,x6/0,x2/3,x3/5,s5,s5,s5,s1,s5,s3,s3,x2/3,x1/0,s1,s1,s1,s4,x1/3,x4/2,x5/1,x6/0,s2,x2/1')
Out[24]:
In [25]:
dance('abcdefghijklmnop','s11,x10/2,s5,x1/3,p11/3,x2/5,s9,x9/14,p0/8,x10/2,s12,x6/4,p10/12,x1/10,p1/14,x13/2,p13/5,x8/9,p11/10,x10/2,s15,x1/5,p3/0,x0/4,p8/12,x1/6,p15/10,x8/12,p5/4,x9/1,p6/1,x10/3,s7,x0/4,s7,x3/1,s4,x5/10,p4/0,x8/2,s8,x15/9,p2/5,x8/7,s14,p3/4,s5,x15/1,s9,x0/7,p12/15,x14/11,p8/6,x9/4,s9,x12/2,s11,p0/7,x9/11,p3/10,x5/1,s7,x9/10,s4,x15/11,p11/6,x12/8,s6,x11/7,s15,x15/13,s11,x1/4,s10,x13/3,p7/10,x5/1,p8/1,x4/11,p14/6,x6/3,s13,p15/5,s7,x10/8,s13,x7/4,s13,p4/11,x9/11,p1/9,x2/0,p8/7,s4,x1/11,s7,x7/2,s11,x13/14,p13/4,x8/3,s12,x7/4,s6,x9/12,p1/6,x15/8,p12/15,x14/3,s7,x15/6,p1/4,x12/3,s12,x4/1,s13,p10/3,x14/5,p5/15,x13/4,p1/10,x9/12,s6,x4/2,s14,x13/0,s12,x14/12,p11/9,x9/3,s6,p3/0,x11/4,s11,p14/1,x6/7,s1,x9/15,p9/8,x12/4,s8,x6/2,p12/13,x14/10,s5,x4/13,s11,x0/14,p7/5,x8/5,s1,x7/9,p15/1,x1/10,s6,x12/4,s1,x14/6,p0/7,x15/10,s6,x0/4,s3,x6/9,p9/13,x12/1,s13,x10/3,p0/10,x11/6,p2/15,x3/4,s11,x12/6,p5/7,s5,x13/0,s7,x7/4,s7,x11/0,s7,x2/9,s3,x5/15,s12,x7/10,p1/11,s15,x3/14,s13,p13/15,x12/0,s9,x1/15,p8/0,x5/3,p5/7,x0/15,p14/11,x13/11,s10,x1/12,s3,x8/14,p5/8,x13/0,p11/10,s8,x12/4,s1,x13/0,p9/4,x3/15,s5,p7/11,x12/4,s11,x14/2,p5/4,s9,x10/9,s14,x2/8,s7,x4/10,s12,x13/5,p1/13,x4/3,p12/6,s11,x5/6,p0/10,x9/1,s8,x12/10,p15/1,x3/15,p5/13,x11/14,p10/7,x10/9,s15,x1/7,p2/4,x11/9,s5,x1/0,s14,x12/7,p10/5,x14/4,s2,x1/7,p2/0,x8/5,p11/3,x13/14,p14/5,x11/0,p7/11,x5/4,s2,x11/12,s15,x7/14,s7,x4/5,s8,x3/11,p5/14,x2/10,s10,x5/13,s10,x0/15,s4,x13/2,s1,x10/1,s9,x6/3,s2,x9/12,s12,x6/11,s15,p3/4,x5/4,s10,x14/0,p8/5,s12,x1/5,s9,x0/3,s11,x11/2,p9/2,x8/9,s5,p15/13,x7/11,s1,x0/4,p6/12,s10,x5/1,s2,x12/3,s9,x10/5,p9/2,x4/7,s10,x11/14,p0/4,x8/15,s15,x14/5,p2/10,x7/3,s6,x2/15,s4,p12/3,x4/10,p0/14,s8,x2/12,s10,x4/13,p1/2,x5/3,p14/5,x1/4,s14,x6/14,s6,x5/8,s8,x6/4,p1/9,x9/1,s9,x2/7,s6,x3/11,p10/3,x10/12,s2,x4/14,s8,x13/11,p4/8,x15/9,p3/1,x13/2,s1,x9/0,s10,x13/15,p13/10,x1/0,s13,x12/9,s13,x7/13,s2,x3/2,s2,x1/7,s11,x2/8,p5/4,x13/7,p0/6,x3/0,s15,x15/9,s6,x8/1,s11,p10/14,x15/6,s12,x2/9,p13/3,x10/13,p0/1,x1/8,s8,p9/4,x9/14,p10/11,x3/4,p13/12,x6/2,s11,x11/8,p6/4,x10/15,s1,x9/1,s7,x3/0,s3,x2/5,s4,p8/0,x4/8,p9/10,x0/7,s6,x4/5,p15/11,s5,p7/12,x15/9,p3/5,x13/5,s13,x15/6,p11/12,x12/9,p5/9,s3,x15/10,p6/7,x5/7,p8/5,x10/12,s2,x1/7,s12,x6/9,s15,p14/12,x10/1,s15,p11/4,x7/13,s15,x6/12,p3/8,x0/7,p1/14,x12/11,p13/6,x2/14,s9,x1/13,s14,x11/12,p15/5,x2/14,s8,x13/1,p12/10,x5/3,s2,x14/6,p7/13,x9/13,s10,x7/14,p1/14,x15/12,s11,x8/10,p3/9,s13,x0/7,s3,x2/9,p11/1,x7/12,s10,p2/4,s9,x6/4,p9/0,s4,x2/8,s4,x4/14,p15/2,x8/13,s5,x12/14,s13,x8/15,p13/5,x9/11,s11,x2/10,p7/12,x4/3,p2/11,x12/8,s11,x11/3,s8,x15/12,s7,x6/8,s12,x3/2,p7/5,s15,x4/12,s5,x8/0,p1/6,x2/13,p0/11,x0/4,s11,x12/11,s2,x6/13,s13,x12/11,s3,x13/0,s5,x14/1,p13/1,x9/15,s1,x2/11,p3/12,x5/4,s5,x10/0,s13,x13/6,s1,x8/14,s2,x6/5,s9,x8/14,s2,x10/0,s9,x15/14,s7,x4/2,s4,x8/0,p13/6,x5/14,s11,x6/13,s11,x1/0,s6,p10/0,x15/5,p4/1,x9/1,s10,x2/13,s8,x12/6,s6,x9/5,s9,p10/9,x15/12,s6,x6/1,p7/2,x9/3,p15/5,s3,x8/14,p7/10,x13/10,s8,x14/15,s1,x4/5,p11/6,x3/8,s12,x11/4,s14,x3/8,s2,x9/10,s4,x6/15,p14/1,x1/0,s2,x6/9,p7/8,x10/1,s5,x2/9,p1/11,x12/4,p15/3,s5,x7/10,p8/4,x2/3,s9,x4/15,s11,x6/9,s5,x12/0,s11,x4/5,s10,x12/8,p0/5,x2/6,s5,x13/11,p12/14,s7,x5/4,p11/4,x9/14,s11,x7/3,s6,x1/8,p9/0,x11/15,s15,x9/10,p2/3,x4/0,p13/8,x3/10,p6/4,s9,x7/1,s2,x11/5,p8/3,x4/10,s9,x7/15,p13/11,s1,x3/8,p10/3,x6/5,s13,p13/4,x2/12,p9/8,x8/11,s3,x2/14,s11,x12/1,p4/10,x14/15,s15,x5/6,p13/9,x15/3,p14/3,x13/10,s5,x12/0,s10,x10/8,s12,p7/9,s14,x12/14,p13/1,s14,x11/13,p11/8,x5/14,s9,x9/0,p6/7,x1/2,p9/8,x6/5,s8,x11/0,s8,x6/7,s5,x13/1,p4/3,s11,p9/0,s13,x9/6,s13,x1/4,p6/5,x3/13,p8/11,x8/1,p15/4,x11/5,s14,x9/12,p6/11,x0/14,s13,x1/5,s7,x6/7,s8,x8/10,s2,x5/11,p14/3,x6/8,s1,x7/5,s7,x13/0,p2/10,x2/14,s12,x8/9,s3,x10/1,s1,x8/9,p13/9,x13/11,s10,x7/12,p5/15,x8/9,s15,x14/2,s4,x6/3,s12,x13/5,s8,x10/12,s1,x11/6,p11/2,x12/4,p8/6,s2,x2/6,p13/0,x9/7,s6,x15/12,p11/5,x0/2,s6,x1/12,s2,p3/4,x0/8,p2/15,x3/9,p1/3,x0/4,s1,x13/5,s12,x9/3,s10,x10/1,p15/9,x15/7,p14/13,x10/4,s10,x7/14,s1,x5/12,s9,x11/7,s14,x4/5,p2/5,x0/12,s15,x11/2,p8/10,x13/10,s4,x8/14,p0/15,s12,x6/1,s11,x3/15,s11,x4/13,s1,x7/3,s14,x2/5,s11,x1/12,p1/4,x2/6,s14,x7/12,s2,x8/14,p3/14,x11/13,p1/0,x12/8,p14/9,x4/9,s4,x0/13,p11/2,x10/11,s7,x8/3,p1/3,x9/14,p5/0,x10/0,p10/8,x3/8,s7,x5/9,s6,x8/7,p4/14,s12,x9/13,s15,x6/4,p6/0,s12,x11/3,s12,x7/6,s14,x8/5,p4/8,x14/15,s3,x9/4,s12,x10/6,p9/3,x4/11,s14,x5/9,p14/10,x10/1,p7/0,x7/15,s2,x0/1,s1,x14/12,p14/2,x7/0,p0/6,x9/4,s4,x8/14,s9,x7/1,p3/10,x9/4,p13/5,s11,x13/15,s5,x3/5,s12,x15/13,p9/0,x7/11,s14,x0/6,s14,x5/7,s3,x0/14,p1/3,x2/1,s5,x15/13,p8/2,x2/5,p13/9,x13/0,s14,x4/10,p7/4,x13/15,s15,x5/0,s10,x8/9,p14/0,x1/4,s14,x6/13,s1,p5/15,x0/4,p6/14,s12,x3/6,s13,x7/5,s11,x15/2,s8,x14/3,s9,x11/1,p11/12,x12/10,s9,x3/4,s7,x15/8,s13,x7/12,s7,x11/10,s14,p1/5,x1/13,s6,x11/4,p10/4,x13/10,s7,x14/11,s12,x12/15,p1/2,x11/2,p7/10,x7/0,s1,p13/3,s10,x2/8,s3,x12/3,p6/0,x2/5,s3,x12/14,s3,x7/5,s5,x4/0,s4,x8/7,p10/1,x5/10,s3,x9/0,s3,x3/12,s1,x1/4,p3/11,x13/10,p0/2,x9/2,p6/8,x13/1,s14,x11/4,s12,x7/13,s3,x15/6,p10/11,x10/3,p6/13,x6/14,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Out[25]:
In [26]:
dance('Plyaacnrnye odgemdioevncrDd rsahmraelea g s llh 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Out[26]: