{ "data": { "question": { "questionId": "3766", "questionFrontendId": "3627", "categoryTitle": "Algorithms", "boundTopicId": 3732703, "title": "Maximum Median Sum of Subsequences of Size 3", "titleSlug": "maximum-median-sum-of-subsequences-of-size-3", "content": "

You are given an integer array nums with a length divisible by 3.

\n\n

You want to make the array empty in steps. In each step, you can select any three elements from the array, compute their median, and remove the selected elements from the array.

\n\n

The median of an odd-length sequence is defined as the middle element of the sequence when it is sorted in non-decreasing order.

\n\n

Return the maximum possible sum of the medians computed from the selected elements.

\n\n

 

\n

Example 1:

\n\n
\n

Input: nums = [2,1,3,2,1,3]

\n\n

Output: 5

\n\n

Explanation:

\n\n\n\n

Hence, the sum of the medians is 3 + 2 = 5.

\n
\n\n

Example 2:

\n\n
\n

Input: nums = [1,1,10,10,10,10]

\n\n

Output: 20

\n\n

Explanation:

\n\n\n\n

Hence, the sum of the medians is 10 + 10 = 20.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "中位数之和的最大值", "translatedContent": "

给你一个整数数组 nums,其长度可以被 3 整除。

\n\n

你需要通过多次操作将数组清空。在每一步操作中,你可以从数组中选择任意三个元素,计算它们的 中位数 ,并将这三个元素从数组中移除。

\n\n

奇数长度数组的 中位数 定义为数组按非递减顺序排序后位于中间的元素。

\n\n

返回通过所有操作得到的 中位数之和的最大值 

\n\n

 

\n\n

示例 1:

\n\n
\n

输入: nums = [2,1,3,2,1,3]

\n\n

输出: 5

\n\n

解释:

\n\n\n\n

因此,中位数之和为 3 + 2 = 5

\n
\n\n

示例 2:

\n\n
\n

输入: nums = [1,1,10,10,10,10]

\n\n

输出: 20

\n\n

解释:

\n\n\n\n

因此,中位数之和为 10 + 10 = 20

\n
\n\n

 

\n\n

提示:

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