def test_permutations():
"""
Test tools.permutations
"""
assert list(tools.permutations('ABC', 2)) == (list(itertools.permutations('ABC', 2)))
assert list(tools.permutations(range(3))) == (list(itertools.permutations(range(3))))
assert list(tools.permutations('abc', 0)) == (list(itertools.permutations('abc', 0)))
assert list(tools.permutations('', 2)) == (list(itertools.permutations('', 2)))
assert list(tools.permutations({'A', 'B', 'C'}, 2)) == \
list(itertools.permutations({'A', 'B', 'C'}, 2))
def test_permutations_1_el(self):
a = [
1,
]
r = tools.permutations(a)
self.assertEqual(r, [
[
1,
],
])
def instantiate_factored_mapping(pairs):
part_mappings = [[
zip(preimg, perm_img) for perm_img in tools.permutations(img)
] for (preimg, img) in pairs]
return tools.cartesian_product(part_mappings)
def instantiate_factored_mapping(pairs):
part_mappings = [[zip(preimg, perm_img) for perm_img in tools.permutations(img)]
for (preimg, img) in pairs]
return tools.cartesian_product(part_mappings)
def test_permutations_3_el(self):
a = [1, 2, 3]
r = tools.permutations(a)
self.assertEqual(
r,
[[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1]])
def test_permutations_2_el(self):
a = [1, 2]
r = tools.permutations(a)
self.assertEqual(r, [[1, 2], [2, 1]])
#!/usr/bin/env python
# -*- coding: utf-8 -*-
"""Project Euler No. 24
http://projecteuler.net/index.php?section=problems&id=24
A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:
012 021 102 120 201 210
What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
"""
from tools import permutations
n = 0
p = permutations(range(10))
while n < (int(1e6) - 1):
p.next()
n += 1
print "".join(str(x) for x in p.next())