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
Now give you an positive integer n,
What is the n-th lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
输入
An integer n,where n<=10! i.e n<= 3628800
输出
The n-th lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.