LeetcodeAug 10, 2025

Permutations II

Hazrat Ali

Leetcode

Given a collection of numbers, nums, that might contain duplicates, return all possible unique permutations in any order.

 

Example 1:

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

Example 2:

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


Solution
/**
 * @param {number[]} nums
 * @return {number[][]}
 */
const permuteUnique = nums => {
  const results = [];
  nums.sort((a, b) => a - b);
  backtracking(nums, {}, [], results);
  return results;
};

const backtracking = (nums, used, solution, results) => {
  if (solution.length === nums.length) {
    results.push(solution.slice());
    return;
  }

  for (let i = 0; i < nums.length; i++) {
    if (used[i] || (i > 0 && nums[i] === nums[i - 1] && !used[i - 1])) {
      continue;
    }

    solution.push(nums[i]);
    used[i] = true;
    backtracking(nums, used, solution, results);
    solution.pop();
    used[i] = false;
  }
};


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