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English Version

题目描述

给你一个整数数组 nums ,其中可能包含重复元素,请你返回该数组所有可能的子集(幂集)。

解集 不能 包含重复的子集。返回的解集中,子集可以按 任意顺序 排列。

 

示例 1:

输入:nums = [1,2,2]
输出:[[],[1],[1,2],[1,2,2],[2],[2,2]]

示例 2:

输入:nums = [0]
输出:[[],[0]]

 

提示:

  • 1 <= nums.length <= 10
  • -10 <= nums[i] <= 10

解法

Python3

class Solution:
    def subsetsWithDup(self, nums: List[int]) -> List[List[int]]:
        def dfs(nums, i, res, path):
            res.append(copy.deepcopy(path))
            for j in range(i, len(nums)):
                if j != i and nums[j] == nums[j - 1]:
                    continue
                path.append(nums[j])
                dfs(nums, j + 1, res, path)
                path.pop()
        res, path = [], []
        nums.sort()
        dfs(nums, 0, res, path)
        return res

Java

class Solution {
    public List<List<Integer>> subsetsWithDup(int[] nums) {
        List<Integer> path = new ArrayList<>();
        List<List<Integer>> res = new ArrayList<>();
        Arrays.sort(nums);
        dfs(nums, 0, res, path);
        return res;
    }

    private void dfs(int[] nums, int i, List<List<Integer>> res, List<Integer> path) {
        res.add(new ArrayList<>(path));
        for (int j = i; j < nums.length; ++j) {
            if (j != i && nums[j] == nums[j - 1]) {
                continue;
            }
            path.add(nums[j]);
            dfs(nums, i + 1, res, path);
            path.remove(path.size() - 1);
        }
    }
}

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