1
0
mirror of https://gitee.com/coder-xiaomo/leetcode-problemset synced 2025-01-10 18:48:13 +08:00
Code Issues Projects Releases Wiki Activity GitHub Gitee
leetcode-problemset/leetcode/originData/partition-array-into-two-arrays-to-minimize-sum-difference.json
2023-12-09 19:57:46 +08:00

206 lines
19 KiB
JSON

{
"data": {
"question": {
"questionId": "2162",
"questionFrontendId": "2035",
"boundTopicId": null,
"title": "Partition Array Into Two Arrays to Minimize Sum Difference",
"titleSlug": "partition-array-into-two-arrays-to-minimize-sum-difference",
"content": "<p>You are given an integer array <code>nums</code> of <code>2 * n</code> integers. You need to partition <code>nums</code> into <strong>two</strong> arrays of length <code>n</code> to <strong>minimize the absolute difference</strong> of the <strong>sums</strong> of the arrays. To partition <code>nums</code>, put each element of <code>nums</code> into <strong>one</strong> of the two arrays.</p>\n\n<p>Return <em>the <strong>minimum</strong> possible absolute difference</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"example-1\" src=\"https://assets.leetcode.com/uploads/2021/10/02/ex1.png\" style=\"width: 240px; height: 106px;\" />\n<pre>\n<strong>Input:</strong> nums = [3,9,7,3]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> One optimal partition is: [3,9] and [7,3].\nThe absolute difference between the sums of the arrays is abs((3 + 9) - (7 + 3)) = 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [-36,36]\n<strong>Output:</strong> 72\n<strong>Explanation:</strong> One optimal partition is: [-36] and [36].\nThe absolute difference between the sums of the arrays is abs((-36) - (36)) = 72.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"example-3\" src=\"https://assets.leetcode.com/uploads/2021/10/02/ex3.png\" style=\"width: 316px; height: 106px;\" />\n<pre>\n<strong>Input:</strong> nums = [2,-1,0,4,-2,-9]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> One optimal partition is: [2,4,-9] and [-1,0,-2].\nThe absolute difference between the sums of the arrays is abs((2 + 4 + -9) - (-1 + 0 + -2)) = 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 15</code></li>\n\t<li><code>nums.length == 2 * n</code></li>\n\t<li><code>-10<sup>7</sup> &lt;= nums[i] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
"translatedTitle": null,
"translatedContent": null,
"isPaidOnly": false,
"difficulty": "Hard",
"likes": 2718,
"dislikes": 151,
"isLiked": null,
"similarQuestions": "[{\"title\": \"Partition Equal Subset Sum\", \"titleSlug\": \"partition-equal-subset-sum\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Split Array With Same Average\", \"titleSlug\": \"split-array-with-same-average\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Tallest Billboard\", \"titleSlug\": \"tallest-billboard\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Last Stone Weight II\", \"titleSlug\": \"last-stone-weight-ii\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Fair Distribution of Cookies\", \"titleSlug\": \"fair-distribution-of-cookies\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Closest Subsequence Sum\", \"titleSlug\": \"closest-subsequence-sum\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Number of Ways to Split Array\", \"titleSlug\": \"number-of-ways-to-split-array\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Minimum Sum of Squared Difference\", \"titleSlug\": \"minimum-sum-of-squared-difference\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Split With Minimum Sum\", \"titleSlug\": \"split-with-minimum-sum\", \"difficulty\": \"Easy\", \"translatedTitle\": null}]",
"exampleTestcases": "[3,9,7,3]\n[-36,36]\n[2,-1,0,4,-2,-9]",
"categoryTitle": "Algorithms",
"contributors": [],
"topicTags": [
{
"name": "Array",
"slug": "array",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Two Pointers",
"slug": "two-pointers",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Binary Search",
"slug": "binary-search",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Dynamic Programming",
"slug": "dynamic-programming",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Bit Manipulation",
"slug": "bit-manipulation",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Ordered Set",
"slug": "ordered-set",
"translatedName": null,
"__typename": "TopicTagNode"
},
{
"name": "Bitmask",
"slug": "bitmask",
"translatedName": null,
"__typename": "TopicTagNode"
}
],
"companyTagStats": null,
"codeSnippets": [
{
"lang": "C++",
"langSlug": "cpp",
"code": "class Solution {\npublic:\n int minimumDifference(vector<int>& nums) {\n \n }\n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "Java",
"langSlug": "java",
"code": "class Solution {\n public int minimumDifference(int[] nums) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python",
"langSlug": "python",
"code": "class Solution(object):\n def minimumDifference(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "Python3",
"langSlug": "python3",
"code": "class Solution:\n def minimumDifference(self, nums: List[int]) -> int:\n ",
"__typename": "CodeSnippetNode"
},
{
"lang": "C",
"langSlug": "c",
"code": "int minimumDifference(int* nums, int numsSize) {\n \n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "C#",
"langSlug": "csharp",
"code": "public class Solution {\n public int MinimumDifference(int[] nums) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "JavaScript",
"langSlug": "javascript",
"code": "/**\n * @param {number[]} nums\n * @return {number}\n */\nvar minimumDifference = function(nums) {\n \n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "TypeScript",
"langSlug": "typescript",
"code": "function minimumDifference(nums: number[]): number {\n \n};",
"__typename": "CodeSnippetNode"
},
{
"lang": "PHP",
"langSlug": "php",
"code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @return Integer\n */\n function minimumDifference($nums) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Swift",
"langSlug": "swift",
"code": "class Solution {\n func minimumDifference(_ nums: [Int]) -> Int {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Kotlin",
"langSlug": "kotlin",
"code": "class Solution {\n fun minimumDifference(nums: IntArray): Int {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Dart",
"langSlug": "dart",
"code": "class Solution {\n int minimumDifference(List<int> nums) {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Go",
"langSlug": "golang",
"code": "func minimumDifference(nums []int) int {\n \n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Ruby",
"langSlug": "ruby",
"code": "# @param {Integer[]} nums\n# @return {Integer}\ndef minimum_difference(nums)\n \nend",
"__typename": "CodeSnippetNode"
},
{
"lang": "Scala",
"langSlug": "scala",
"code": "object Solution {\n def minimumDifference(nums: Array[Int]): Int = {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Rust",
"langSlug": "rust",
"code": "impl Solution {\n pub fn minimum_difference(nums: Vec<i32>) -> i32 {\n \n }\n}",
"__typename": "CodeSnippetNode"
},
{
"lang": "Racket",
"langSlug": "racket",
"code": "(define/contract (minimum-difference nums)\n (-> (listof exact-integer?) exact-integer?)\n )",
"__typename": "CodeSnippetNode"
},
{
"lang": "Erlang",
"langSlug": "erlang",
"code": "-spec minimum_difference(Nums :: [integer()]) -> integer().\nminimum_difference(Nums) ->\n .",
"__typename": "CodeSnippetNode"
},
{
"lang": "Elixir",
"langSlug": "elixir",
"code": "defmodule Solution do\n @spec minimum_difference(nums :: [integer]) :: integer\n def minimum_difference(nums) do\n \n end\nend",
"__typename": "CodeSnippetNode"
}
],
"stats": "{\"totalAccepted\": \"20.1K\", \"totalSubmission\": \"102.2K\", \"totalAcceptedRaw\": 20059, \"totalSubmissionRaw\": 102169, \"acRate\": \"19.6%\"}",
"hints": [
"The target sum for the two partitions is sum(nums) / 2.",
"Could you reduce the time complexity if you arbitrarily divide nums into two halves (two arrays)? Meet-in-the-Middle?",
"For both halves, pre-calculate a 2D array where the kth index will store all possible sum values if only k elements from this half are added.",
"For each sum of k elements in the first half, find the best sum of n-k elements in the second half such that the two sums add up to a value closest to the target sum from hint 1. These two subsets will form one array of the partition."
],
"solution": null,
"status": null,
"sampleTestCase": "[3,9,7,3]",
"metaData": "{\n \"name\": \"minimumDifference\",\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,
"enableDebugger": true,
"envInfo": "{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 20 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\"], \"java\": [\"Java\", \"<p><code>OpenJDK 17</code>. Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-10\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://github.com/datastructures-js/queue/tree/e63563025a5a805aa16928cb53bcd517bfea9230\\\" target=\\\"_blank\\\">datastructures-js/queue</a>.</p>\"], \"ruby\": [\"Ruby\", \"<p><code>Ruby 3.1</code></p>\\r\\n\\r\\n<p>Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms</p>\"], \"swift\": [\"Swift\", \"<p><code>Swift 5.5.2</code>.</p>\"], \"golang\": [\"Go\", \"<p><code>Go 1.21</code></p>\\r\\n<p>Support <a href=\\\"https://github.com/emirpasic/gods/tree/v1.18.1\\\" target=\\\"_blank\\\">https://godoc.org/github.com/emirpasic/gods@v1.18.1</a> library.</p>\"], \"python3\": [\"Python3\", \"<p><code>Python 3.10</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/3/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/3/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/3/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\"], \"scala\": [\"Scala\", \"<p><code>Scala 2.13.7</code>.</p>\"], \"kotlin\": [\"Kotlin\", \"<p><code>Kotlin 1.9.0</code>.</p>\"], \"rust\": [\"Rust\", \"<p><code>Rust 1.58.1</code></p>\\r\\n\\r\\n<p>Supports <a href=\\\"https://crates.io/crates/rand\\\" target=\\\"_blank\\\">rand </a> v0.6\\u00a0from crates.io</p>\"], \"php\": [\"PHP\", \"<p><code>PHP 8.1</code>.</p>\\r\\n<p>With bcmath module</p>\"], \"typescript\": [\"Typescript\", \"<p><code>TypeScript 5.1.6, Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES2022 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\"], \"racket\": [\"Racket\", \"<p>Run with <code>Racket 8.3</code>.</p>\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 25.0\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.4 with Erlang/OTP 25.0\"], \"dart\": [\"Dart\", \"<p>Dart 2.17.3</p>\\r\\n\\r\\n<p>Your code will be run directly without compiling</p>\"]}",
"libraryUrl": null,
"adminUrl": null,
"challengeQuestion": null,
"__typename": "QuestionNode"
}
}
}