{ "data": { "question": { "questionId": "2109", "questionFrontendId": "1982", "categoryTitle": "Algorithms", "boundTopicId": 943864, "title": "Find Array Given Subset Sums", "titleSlug": "find-array-given-subset-sums", "content": "

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).

\n\n

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

\n\n

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.

\n\n

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

\n\n

 

\n

Example 1:

\n\n
\nInput: n = 3, sums = [-3,-2,-1,0,0,1,2,3]\nOutput: [1,2,-3]\nExplanation: [1,2,-3] is able to achieve the given subset sums:\n- []: sum is 0\n- [1]: sum is 1\n- [2]: sum is 2\n- [1,2]: sum is 3\n- [-3]: sum is -3\n- [1,-3]: sum is -2\n- [2,-3]: sum is -1\n- [1,2,-3]: sum is 0\nNote that any permutation of [1,2,-3] and also any permutation of [-1,-2,3] will also be accepted.\n
\n\n

Example 2:

\n\n
\nInput: n = 2, sums = [0,0,0,0]\nOutput: [0,0]\nExplanation: The only correct answer is [0,0].\n
\n\n

Example 3:

\n\n
\nInput: n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]\nOutput: [0,-1,4,5]\nExplanation: [0,-1,4,5] is able to achieve the given subset sums.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "从子集的和还原数组", "translatedContent": "

存在一个未知数组需要你进行还原，给你一个整数 n 表示该数组的长度。另给你一个数组 sums ，由未知数组中全部 2n 个 子集的和 组成（子集中的元素没有特定的顺序）。

\n\n

返回一个长度为 n 的数组 ans 表示还原得到的未知数组。如果存在 多种 答案，只需返回其中 任意一个 。

\n\n

如果可以由数组 arr 删除部分元素（也可能不删除或全删除）得到数组 sub ，那么数组 sub 就是数组 arr 的一个 子集 。sub 的元素之和就是 arr 的一个 子集的和 。一个空数组的元素之和为 0 。

\n\n

注意：生成的测试用例将保证至少存在一个正确答案。

\n\n

 

\n\n

示例 1：

\n\n
\n输入：n = 3, sums = [-3,-2,-1,0,0,1,2,3]\n输出：[1,2,-3]\n解释：[1,2,-3] 能够满足给出的子集的和：\n- []：和是 0\n- [1]：和是 1\n- [2]：和是 2\n- [1,2]：和是 3\n- [-3]：和是 -3\n- [1,-3]：和是 -2\n- [2,-3]：和是 -1\n- [1,2,-3]：和是 0\n注意，[1,2,-3] 的任何排列和 [-1,-2,3] 的任何排列都会被视作正确答案。\n
\n\n

示例 2：

\n\n
\n输入：n = 2, sums = [0,0,0,0]\n输出：[0,0]\n解释：唯一的正确答案是 [0,0] 。\n
\n\n

示例 3：

\n\n
\n输入：n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]\n输出：[0,-1,4,5]\n解释：[0,-1,4,5] 能够满足给出的子集的和。\n
\n\n

 

\n\n

提示：

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