{ "data": { "question": { "questionId": "2042", "questionFrontendId": "1913", "boundTopicId": null, "title": "Maximum Product Difference Between Two Pairs", "titleSlug": "maximum-product-difference-between-two-pairs", "content": "<p>The <strong>product difference</strong> between two pairs <code>(a, b)</code> and <code>(c, d)</code> is defined as <code>(a * b) - (c * d)</code>.</p>\r\n\r\n<ul>\r\n\t<li>For example, the product difference between <code>(5, 6)</code> and <code>(2, 7)</code> is <code>(5 * 6) - (2 * 7) = 16</code>.</li>\r\n</ul>\r\n\r\n<p>Given an integer array <code>nums</code>, choose four <strong>distinct</strong> indices <code>w</code>, <code>x</code>, <code>y</code>, and <code>z</code> such that the <strong>product difference</strong> between pairs <code>(nums[w], nums[x])</code> and <code>(nums[y], nums[z])</code> is <strong>maximized</strong>.</p>\r\n\r\n<p>Return <em>the <strong>maximum</strong> such product difference</em>.</p>\r\n\r\n<p> </p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [5,6,2,7,4]\r\n<strong>Output:</strong> 34\r\n<strong>Explanation:</strong> 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</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [4,2,5,9,7,4,8]\r\n<strong>Output:</strong> 64\r\n<strong>Explanation:</strong> 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</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>4 <= nums.length <= 10<sup>4</sup></code></li>\r\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\r\n</ul>", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Easy", "likes": 384, "dislikes": 19, "isLiked": null, "similarQuestions": "[]", "exampleTestcases": "[5,6,2,7,4]\n[4,2,5,9,7,4,8]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Sorting", "slug": "sorting", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\r\npublic:\r\n int maxProductDifference(vector<int>& nums) {\r\n \r\n }\r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\r\n public int maxProductDifference(int[] nums) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\r\n def maxProductDifference(self, nums):\r\n \"\"\"\r\n :type nums: List[int]\r\n :rtype: int\r\n \"\"\"", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\r\n def maxProductDifference(self, nums: List[int]) -> int:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int maxProductDifference(int* nums, int numsSize){\r\n\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\r\n public int MaxProductDifference(int[] nums) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\r\n * @param {number[]} nums\r\n * @return {number}\r\n */\r\nvar maxProductDifference = function(nums) {\r\n \r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} nums\r\n# @return {Integer}\r\ndef max_product_difference(nums)\r\n \r\nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\r\n func maxProductDifference(_ nums: [Int]) -> Int {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func maxProductDifference(nums []int) int {\r\n \r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\r\n def maxProductDifference(nums: Array[Int]): Int = {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\r\n fun maxProductDifference(nums: IntArray): Int {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\r\n pub fn max_product_difference(nums: Vec<i32>) -> i32 {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\r\n\r\n /**\r\n * @param Integer[] $nums\r\n * @return Integer\r\n */\r\n function maxProductDifference($nums) {\r\n \r\n }\r\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function maxProductDifference(nums: number[]): number {\r\n\r\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (max-product-difference nums)\r\n (-> (listof exact-integer?) exact-integer?)\r\n\r\n )", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"46.2K\", \"totalSubmission\": \"56.9K\", \"totalAcceptedRaw\": 46232, \"totalSubmissionRaw\": 56892, \"acRate\": \"81.3%\"}", "hints": [ "If you only had to find the maximum product of 2 numbers in an array, which 2 numbers should you choose?", "We only need to worry about 4 numbers in the array." ], "solution": null, "status": null, "sampleTestCase": "[5,6,2,7,4]", "metaData": "{\n \"name\": \"maxProductDifference\",\n \"params\": [\n {\n \"name\": \"nums\",\n \"type\": \"integer[]\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, 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