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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
:
"123"
"132"
"213"
"231"
"312"
"321"
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:
[Math]
[Backtracking]
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