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Combinations in python using a generator
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from math import factorial as fact | |
def comb(seq, r): | |
n = len(seq) | |
total = fact(n) / (fact(r) * fact(n-r)) | |
pos = range(r) | |
#c= [] | |
i = 0 | |
while i < total: | |
#c.append(map(lambda x: seq[x], pos)) | |
yield map(lambda x: seq[x], pos) | |
k = r - 1 | |
if pos[k] + 1 < n: | |
pos[k] = pos[k] + 1 | |
else: | |
l = k - 1 | |
while l >= 0: | |
if pos[l] + 1 < n - r + (l + 1): | |
pos[l] = pos[l] + 1 | |
m = l + 1 | |
while m <= k: | |
pos[m] = pos[m-1] + 1 | |
m = m + 1 | |
break | |
l = l - 1 | |
i = i + 1 | |
#return c | |
if __name__ == '__main__': | |
import pprint as pp | |
a = comb('abcdef', 2) | |
pp.pprint(list(a)) | |
print 'Total: ', len(list(a)) |
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