hardMathRecursion 0 views

Permutation Sequence

The set [1, 2, 3, ..., n] contains a total of n!

The set [1, 2, 3, ..., n] contains a total of n! unique permutations.

By listing and labeling all of the permutations in order, we get the following sequence for n = 3:

Given n and k, return the kth permutation sequence.

Example 1

Input: n = 3, k = 3

Output: "213"

Example 2

Input: n = 4, k = 9

Output: "2314"

Example 3

Input: n = 3, k = 1

Output: "123"

Constraints

  • 1 <= n <= 9
  • 1 <= k <= n!

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