# Lexicographic permutations
# Problem 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?

import itertools
import time

t = time.time()
numStr = ''
perm = [x for x in itertools.permutations('0123456789')]

for i in perm[999999]:
    numStr += i

print(numStr)
print(time.time() - t)
# 2 783 915 460
