{ "data": { "question": { "questionId": "2042", "questionFrontendId": "1913", "categoryTitle": "Algorithms", "boundTopicId": 843781, "title": "Maximum Product Difference Between Two Pairs", "titleSlug": "maximum-product-difference-between-two-pairs", "content": "

The product difference between two pairs (a, b) and (c, d) is defined as (a * b) - (c * d).

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Given an integer array nums, choose four distinct indices w, x, y, and z such that the product difference between pairs (nums[w], nums[x]) and (nums[y], nums[z]) is maximized.

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Return the maximum such product difference.

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Example 1:

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\r\nInput: nums = [5,6,2,7,4]\r\nOutput: 34\r\nExplanation: We can choose indices 1 and 3 for the first pair (6, 7) and indices 2 and 4 for the second pair (2, 4).\r\nThe product difference is (6 * 7) - (2 * 4) = 34.\r\n
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Example 2:

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\r\nInput: nums = [4,2,5,9,7,4,8]\r\nOutput: 64\r\nExplanation: We can choose indices 3 and 6 for the first pair (9, 8) and indices 1 and 5 for the second pair (2, 4).\r\nThe product difference is (9 * 8) - (2 * 4) = 64.\r\n
\r\n\r\n

 

\r\n

Constraints:

\r\n\r\n", "translatedTitle": "两个数对之间的最大乘积差", "translatedContent": "

两个数对 (a, b) 和 (c, d) 之间的 乘积差 定义为 (a * b) - (c * d) 。

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给你一个整数数组 nums ，选出四个 不同的 下标 w、x、y 和 z ，使数对 (nums[w], nums[x]) 和 (nums[y], nums[z]) 之间的 乘积差 取到 最大值 。

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返回以这种方式取得的乘积差中的 最大值 。

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示例 1：

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输入：nums = [5,6,2,7,4]\n输出：34\n解释：可以选出下标为 1 和 3 的元素构成第一个数对 (6, 7) 以及下标 2 和 4 构成第二个数对 (2, 4)\n乘积差是 (6 * 7) - (2 * 4) = 34\n
\n\n

示例 2：

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输入：nums = [4,2,5,9,7,4,8]\n输出：64\n解释：可以选出下标为 3 和 6 的元素构成第一个数对 (9, 8) 以及下标 1 和 5 构成第二个数对 (2, 4)\n乘积差是 (9 * 8) - (2 * 4) = 64\n
\n\n

 

\n\n

提示：

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