{ "data": { "question": { "questionId": "2267", "questionFrontendId": "2163", "categoryTitle": "Algorithms", "boundTopicId": 1243407, "title": "Minimum Difference in Sums After Removal of Elements", "titleSlug": "minimum-difference-in-sums-after-removal-of-elements", "content": "

You are given a 0-indexed integer array nums consisting of 3 * n elements.

\n\n

You are allowed to remove any subsequence of elements of size exactly n from nums. The remaining 2 * n elements will be divided into two equal parts:

\n\n\n\n

The difference in sums of the two parts is denoted as sumfirst - sumsecond.

\n\n\n\n

Return the minimum difference possible between the sums of the two parts after the removal of n elements.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [3,1,2]\nOutput: -1\nExplanation: Here, nums has 3 elements, so n = 1. \nThus we have to remove 1 element from nums and divide the array into two equal parts.\n- If we remove nums[0] = 3, the array will be [1,2]. The difference in sums of the two parts will be 1 - 2 = -1.\n- If we remove nums[1] = 1, the array will be [3,2]. The difference in sums of the two parts will be 3 - 2 = 1.\n- If we remove nums[2] = 2, the array will be [3,1]. The difference in sums of the two parts will be 3 - 1 = 2.\nThe minimum difference between sums of the two parts is min(-1,1,2) = -1. \n
\n\n

Example 2:

\n\n
\nInput: nums = [7,9,5,8,1,3]\nOutput: 1\nExplanation: Here n = 2. So we must remove 2 elements and divide the remaining array into two parts containing two elements each.\nIf we remove nums[2] = 5 and nums[3] = 8, the resultant array will be [7,9,1,3]. The difference in sums will be (7+9) - (1+3) = 12.\nTo obtain the minimum difference, we should remove nums[1] = 9 and nums[4] = 1. The resultant array becomes [7,5,8,3]. The difference in sums of the two parts is (7+5) - (8+3) = 1.\nIt can be shown that it is not possible to obtain a difference smaller than 1.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "删除元素后和的最小差值", "translatedContent": "

给你一个下标从 0 开始的整数数组 nums ,它包含 3 * n 个元素。

\n\n

你可以从 nums 中删除 恰好 n 个元素,剩下的 2 * n 个元素将会被分成两个 相同大小 的部分。

\n\n\n\n

两部分和的 差值 记为 sumfirst - sumsecond 。

\n\n\n\n

请你返回删除 n 个元素之后,剩下两部分和的 差值的最小值 是多少。

\n\n

 

\n\n

示例 1:

\n\n
输入:nums = [3,1,2]\n输出:-1\n解释:nums 有 3 个元素,所以 n = 1 。\n所以我们需要从 nums 中删除 1 个元素,并将剩下的元素分成两部分。\n- 如果我们删除 nums[0] = 3 ,数组变为 [1,2] 。两部分和的差值为 1 - 2 = -1 。\n- 如果我们删除 nums[1] = 1 ,数组变为 [3,2] 。两部分和的差值为 3 - 2 = 1 。\n- 如果我们删除 nums[2] = 2 ,数组变为 [3,1] 。两部分和的差值为 3 - 1 = 2 。\n两部分和的最小差值为 min(-1,1,2) = -1 。\n
\n\n

示例 2:

\n\n
输入:nums = [7,9,5,8,1,3]\n输出:1\n解释:n = 2 。所以我们需要删除 2 个元素,并将剩下元素分为 2 部分。\n如果我们删除元素 nums[2] = 5 和 nums[3] = 8 ,剩下元素为 [7,9,1,3] 。和的差值为 (7+9) - (1+3) = 12 。\n为了得到最小差值,我们应该删除 nums[1] = 9 和 nums[4] = 1 ,剩下的元素为 [7,5,8,3] 。和的差值为 (7+5) - (8+3) = 1 。\n观察可知,最优答案为 1 。\n
\n\n

 

\n\n

提示:

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