# 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? # learned about itertools from problem 23. Python is wonderful import itertools list = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] uniquelist = set(list) iter = 0 for n in itertools.permutations(uniquelist, 10): iter += 1 if iter == 1000000: print(n) break