# 90     Subsets II

## 90. [Subsets II](https://leetcode.com/problems/subsets-ii/description/)

## 1. Question

Given a collection of integers that might contain duplicates, **nums**, return all possible subsets (the power set).

**Note:** The solution set must not contain duplicate subsets.

For example,\
If**nums**=`[1,2,2]`, a solution is:

```
[
  [2],
  [1],
  [1,2,2],
  [2,2],
  [1,2],
  []
]
```

## 2. Implementation

**(1) Backtracking**

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

    public void getSubsets(int[] nums, int start, List<Integer> subset, List<List<Integer>> res) {
        res.add(new ArrayList<>(subset));

        for (int i = start; i < nums.length; i++) {
            if (i > start && nums[i - 1] == nums[i]) {
                continue;
            }
            subset.add(nums[i]);
            getSubsets(nums, i + 1, subset, res);
            subset.remove(subset.size() - 1);
        }
    }
}
```

## 3. Time & Space Complexity

**Backtracking:** 时间复杂度O(2^n), 空间复杂度O(2^n)
