{ "data": { "question": { "questionId": "2845", "questionFrontendId": "2740", "categoryTitle": "Algorithms", "boundTopicId": 2310372, "title": "Find the Value of the Partition", "titleSlug": "find-the-value-of-the-partition", "content": "

You are given a positive integer array nums.

\n\n

Partition nums into two arrays, nums1 and nums2, such that:

\n\n\n\n

The value of the partition is |max(nums1) - min(nums2)|.

\n\n

Here, max(nums1) denotes the maximum element of the array nums1, and min(nums2) denotes the minimum element of the array nums2.

\n\n

Return the integer denoting the value of such partition.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [1,3,2,4]\nOutput: 1\nExplanation: We can partition the array nums into nums1 = [1,2] and nums2 = [3,4].\n- The maximum element of the array nums1 is equal to 2.\n- The minimum element of the array nums2 is equal to 3.\nThe value of the partition is |2 - 3| = 1. \nIt can be proven that 1 is the minimum value out of all partitions.\n
\n\n

Example 2:

\n\n
\nInput: nums = [100,1,10]\nOutput: 9\nExplanation: We can partition the array nums into nums1 = [10] and nums2 = [100,1].\n- The maximum element of the array nums1 is equal to 10.\n- The minimum element of the array nums2 is equal to 1.\nThe value of the partition is |10 - 1| = 9.\nIt can be proven that 9 is the minimum value out of all partitions.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "找出分区值", "translatedContent": "

给你一个 正 整数数组 nums 。

\n\n

将 nums 分成两个数组：nums1 和 nums2 ，并满足下述条件：

\n\n\n\n

分区值的计算方法是 |max(nums1) - min(nums2)| 。

\n\n

其中，max(nums1) 表示数组 nums1 中的最大元素，min(nums2) 表示数组 nums2 中的最小元素。

\n\n

返回表示分区值的整数。

\n\n

 

\n\n

示例 1：

\n\n
输入：nums = [1,3,2,4]\n输出：1\n解释：可以将数组 nums 分成 nums1 = [1,2] 和 nums2 = [3,4] 。\n- 数组 nums1 的最大值等于 2 。\n- 数组 nums2 的最小值等于 3 。\n分区值等于 |2 - 3| = 1 。\n可以证明 1 是所有分区方案的最小值。\n
\n\n

示例 2：

\n\n
输入：nums = [100,1,10]\n输出：9\n解释：可以将数组 nums 分成 nums1 = [10] 和 nums2 = [100,1] 。 \n- 数组 nums1 的最大值等于 10 。 \n- 数组 nums2 的最小值等于 1 。 \n分区值等于 |10 - 1| = 9 。 \n可以证明 9 是所有分区方案的最小值。\n
\n\n

 

\n\n

提示：

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