0046. Permutations

https://leetcode.com/problems/permutations

Description

Given an array nums of distinct integers, return all the possible permutations. You can return the answer in any order.

Example 1:

**Input:** nums = [1,2,3]
**Output:** [[1,2,3],[1,3,2],[2,1,3],[2,3,1],[3,1,2],[3,2,1]]

Example 2:

**Input:** nums = [0,1]
**Output:** [[0,1],[1,0]]

Example 3:

**Input:** nums = [1]
**Output:** [[1]]

Constraints:

  • 1 <= nums.length <= 6

  • -10 <= nums[i] <= 10

  • All the integers of nums are unique.

ac

class Solution {
    public List<List<Integer>> permute(int[] nums) {
        List<List<Integer>> res = new ArrayList<List<Integer>>();
        backtrack(nums, nums.length, res, new ArrayList<Integer>(), new boolean[nums.length]);
        return res;
    }

    private void backtrack(int[] nums, int remain, List<List<Integer>> res, List<Integer> note, boolean[] visiting) {
        // exit
        if (remain == 0) {
            res.add(new ArrayList<Integer>(note));
            return;
        }

        for (int i = 0; i < nums.length; i++) {
            if (visiting[i]) continue;
            visiting[i] = true;
            note.add(nums[i]);
            backtrack(nums, remain - 1, res, note, visiting);
            note.remove(note.size() - 1);
            visiting[i] = false;
        }

    }
}

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