{ "data": { "question": { "questionId": "3387", "questionFrontendId": "3107", "categoryTitle": "Algorithms", "boundTopicId": 2725593, "title": "Minimum Operations to Make Median of Array Equal to K", "titleSlug": "minimum-operations-to-make-median-of-array-equal-to-k", "content": "

You are given an integer array nums and a non-negative integer k. In one operation, you can increase or decrease any element by 1.

\n\n

Return the minimum number of operations needed to make the median of nums equal to k.

\n\n

The median of an array is defined as the middle element of the array when it is sorted in non-decreasing order. If there are two choices for a median, the larger of the two values is taken.

\n\n

 

\n

Example 1:

\n\n
\n

Input: nums = [2,5,6,8,5], k = 4

\n\n

Output: 2

\n\n

Explanation:

\n\n

We can subtract one from nums[1] and nums[4] to obtain [2, 4, 6, 8, 4]. The median of the resulting array is equal to k.

\n
\n\n

Example 2:

\n\n
\n

Input: nums = [2,5,6,8,5], k = 7

\n\n

Output: 3

\n\n

Explanation:

\n\n

We can add one to nums[1] twice and add one to nums[2] once to obtain [2, 7, 7, 8, 5].

\n
\n\n

Example 3:

\n\n
\n

Input: nums = [1,2,3,4,5,6], k = 4

\n\n

Output: 0

\n\n

Explanation:

\n\n

The median of the array is already equal to k.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "使数组中位数等于 K 的最少操作数", "translatedContent": "

给你一个整数数组 nums 和一个 非负 整数 k 。一次操作中,你可以选择任一元素 加 1 或者减 1 。

\n\n

请你返回将 nums 中位数 变为 k 所需要的 最少 操作次数。

\n\n

一个数组的中位数指的是数组按非递减顺序排序后最中间的元素。如果数组长度为偶数,我们选择中间两个数的较大值为中位数。

\n\n

 

\n\n

示例 1:

\n\n
\n

输入:nums = [2,5,6,8,5], k = 4

\n\n

输出:2

\n\n

解释:我们将 nums[1] 和 nums[4] 减 1 得到 [2, 4, 6, 8, 4] 。现在数组的中位数等于 k 。

\n
\n\n

示例 2:

\n\n
\n

输入:nums = [2,5,6,8,5], k = 7

\n\n

输出:3

\n\n

解释:我们将 nums[1] 增加 1 两次,并且将 nums[2] 增加 1 一次,得到 [2, 7, 7, 8, 5] 。

\n
\n\n

示例 3:

\n\n
\n

输入:nums = [1,2,3,4,5,6], k = 4

\n\n

输出:0

\n\n

解释:数组中位数已经等于 k 了。

\n
\n\n

 

\n\n

提示:

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