#!/usr/bin/env python

"""
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 time
st = time.time()

import itertools

print ''.join(list(itertools.permutations(['0','1','2','3','4','5','6','7','8','9']))[1000000-1])

print "Time taken: %s" % str(time.time() - st)

