# [Solution] Find Array Given Subset Sums solution leetcode

## Find Array Given Subset Sums solution leetcode

You are given an integer `n` representing the length of an unknown array that you are trying to recover. You are also given an array `sums` containing the values of all `2n` subset sums of the unknown array (in no particular order).

Find Array Given Subset Sums solution leetcode

Return the array `ans` of length `n` representing the unknown array. If multiple answers exist, return any of them.

An array `sub` is a subset of an array `arr` if `sub` can be obtained from `arr` by deleting some (possibly zero or all) elements of `arr`. The sum of the elements in `sub` is one possible subset sum of `arr`. The sum of an empty array is considered to be `0`.

Note: Test cases are generated such that there will always be at least one correct answer.

Example 1:

```Input: n = 3, sums = [-3,-2,-1,0,0,1,2,3]
Output: [1,2,-3]
Explanation: [1,2,-3] is able to achieve the given subset sums:
- []: sum is 0
- [1]: sum is 1
- [2]: sum is 2
- [1,2]: sum is 3
- [-3]: sum is -3
- [1,-3]: sum is -2
- [2,-3]: sum is -1
- [1,2,-3]: sum is 0
Note that any permutation of [1,2,-3] and also any permutation of [-1,-2,3]
will also be accepted.
Find Array Given Subset Sums solution leetcode
```

Example 2:

```Input: n = 2, sums = [0,0,0,0]
Output: [0,0]
Explanation: The only correct answer is [0,0].
```

Example 3:

```Input: n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]
Output: [0,-1,4,5]
Explanation: [0,-1,4,5] is able to achieve the given subset sums.
Find Array Given Subset Sums solution leetcode
```

Constraints:

• `1 <= n <= 15`
• `sums.length == 2n`
• `-104 <= sums[i] <= 104`

Find Array Given Subset Sums solution leetcode

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Find Array Given Subset Sums solution leetcode