Project Euler 24

problem

A permutation is a permutation of things. For example, 3124 is a permutation of numbers 1, 2, 3, 4. All permutations are lexicographically arranged in large or small numbers. Called order. If you arrange the permutations of 0, 1 and 2 in lexicographic order

012 021 102 120 201 210 become.

What is the 1 millionth when lexicographically arranging permutations consisting of 0,1,2,3,4,5,6,7,8,9? http://odz.sakura.ne.jp/projecteuler/index.php?cmd=read&page=Problem%2024

Answer

Will be added later (= not done).

import math
def main():
  target = 10**6
  target -=1
  ans = ''
  ls = range(10)
  for i in range(9,-1,-1):
    n = ls.pop(target // math.factorial(i))
    target %= math.factorial(i)
    ans += str(n)
    

  print ans

  
main()

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