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Permutation Sequence

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 k th permutation sequence. Note: Given n will be between 1 and 9 inclusive. Given  k  will be between 1 and n ! inclusive. Example 1: Input: n = 3, k = 3 Output: "213" Example 2: Input: n = 4, k = 9 Output: "2314"   class Solution {     public String getPermutation(int n, int k) {     int[] factorial = new int[n];     int i;     StringBuilder sb = new StringBuilder();     ArrayList<Integer> num = new ArrayList<Integer>();     for (i = 0; i < n; i++) {         num.add(i + 1);         factorial[i] = i == 0 ? 1 : i * factorial[i - 1];     ...