{ "data": { "question": { "questionId": "2715", "questionFrontendId": "2600", "boundTopicId": null, "title": "K Items With the Maximum Sum", "titleSlug": "k-items-with-the-maximum-sum", "content": "

There is a bag that consists of items, each item has a number 1, 0, or -1 written on it.

\n\n

You are given four non-negative integers numOnes, numZeros, numNegOnes, and k.

\n\n

The bag initially contains:

\n\n\n\n

We want to pick exactly k items among the available items. Return the maximum possible sum of numbers written on the items.

\n\n

 

\n

Example 1:

\n\n
\nInput: numOnes = 3, numZeros = 2, numNegOnes = 0, k = 2\nOutput: 2\nExplanation: We have a bag of items with numbers written on them {1, 1, 1, 0, 0}. We take 2 items with 1 written on them and get a sum in a total of 2.\nIt can be proven that 2 is the maximum possible sum.\n
\n\n

Example 2:

\n\n
\nInput: numOnes = 3, numZeros = 2, numNegOnes = 0, k = 4\nOutput: 3\nExplanation: We have a bag of items with numbers written on them {1, 1, 1, 0, 0}. We take 3 items with 1 written on them, and 1 item with 0 written on it, and get a sum in a total of 3.\nIt can be proven that 3 is the maximum possible sum.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Easy", "likes": 2, "dislikes": 2, "isLiked": null, "similarQuestions": "[{\"title\": \"Maximum Subarray\", \"titleSlug\": \"maximum-subarray\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "3\n2\n0\n2\n3\n2\n0\n4", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int kItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int kItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def kItemsWithMaximumSum(self, numOnes, numZeros, numNegOnes, k):\n \"\"\"\n :type numOnes: int\n :type numZeros: int\n :type numNegOnes: int\n :type k: int\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def kItemsWithMaximumSum(self, numOnes: int, numZeros: int, numNegOnes: int, k: int) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int kItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int KItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number} numOnes\n * @param {number} numZeros\n * @param {number} numNegOnes\n * @param {number} k\n * @return {number}\n */\nvar kItemsWithMaximumSum = function(numOnes, numZeros, numNegOnes, k) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer} num_ones\n# @param {Integer} num_zeros\n# @param {Integer} num_neg_ones\n# @param {Integer} k\n# @return {Integer}\ndef k_items_with_maximum_sum(num_ones, num_zeros, num_neg_ones, k)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func kItemsWithMaximumSum(_ numOnes: Int, _ numZeros: Int, _ numNegOnes: Int, _ k: Int) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func kItemsWithMaximumSum(numOnes int, numZeros int, numNegOnes int, k int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def kItemsWithMaximumSum(numOnes: Int, numZeros: Int, numNegOnes: Int, k: Int): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun kItemsWithMaximumSum(numOnes: Int, numZeros: Int, numNegOnes: Int, k: Int): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn k_items_with_maximum_sum(num_ones: i32, num_zeros: i32, num_neg_ones: i32, k: i32) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer $numOnes\n * @param Integer $numZeros\n * @param Integer $numNegOnes\n * @param Integer $k\n * @return Integer\n */\n function kItemsWithMaximumSum($numOnes, $numZeros, $numNegOnes, $k) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function kItemsWithMaximumSum(numOnes: number, numZeros: number, numNegOnes: number, k: number): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (k-items-with-maximum-sum numOnes numZeros numNegOnes k)\n (-> exact-integer? exact-integer? exact-integer? exact-integer? exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec k_items_with_maximum_sum(NumOnes :: integer(), NumZeros :: integer(), NumNegOnes :: integer(), K :: integer()) -> integer().\nk_items_with_maximum_sum(NumOnes, NumZeros, NumNegOnes, K) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec k_items_with_maximum_sum(num_ones :: integer, num_zeros :: integer, num_neg_ones :: integer, k :: integer) :: integer\n def k_items_with_maximum_sum(num_ones, num_zeros, num_neg_ones, k) do\n\n end\nend", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int kItemsWithMaximumSum(int numOnes, int numZeros, int numNegOnes, int k) {\n\n }\n}", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"8.7K\", \"totalSubmission\": \"14.9K\", \"totalAcceptedRaw\": 8663, \"totalSubmissionRaw\": 14906, \"acRate\": \"58.1%\"}", "hints": [ "It is always optimal to take items with the number 1 written on them as much as possible.", "If k > numOnes, after taking all items with the number 1, it is always optimal to take items with the number 0 written on them as much as possible.", "If k > numOnes + numZeroes we are forced to take k - numOnes - numZeroes -1s." ], "solution": null, "status": null, "sampleTestCase": "3\n2\n0\n2", "metaData": "{\n \"name\": \"kItemsWithMaximumSum\",\n \"params\": [\n {\n \"name\": \"numOnes\",\n \"type\": \"integer\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"numZeros\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"numNegOnes\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"k\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "enableTestMode": false, "enableDebugger": true, "envInfo": "{\"cpp\": [\"C++\", \"

Compiled with clang 11 using the latest C++ 17 standard.

\\r\\n\\r\\n

Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\"], \"java\": [\"Java\", \"

OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n

Includes Pair class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.

\"], \"python\": [\"Python\", \"

Python 2.7.12.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\\r\\n\\r\\n

Note that Python 2.7 will not be maintained past 2020. For the latest Python, please choose Python3 instead.

\"], \"c\": [\"C\", \"

Compiled with gcc 8.2 using the gnu11 standard.

\\r\\n\\r\\n

Your code is compiled with level one optimization (-O1). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

\\r\\n\\r\\n

Most standard library headers are already included automatically for your convenience.

\\r\\n\\r\\n

For hash table operations, you may use uthash. \\\"uthash.h\\\" is included by default. Below are some examples:

\\r\\n\\r\\n

1. Adding an item to a hash.\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

2. Looking up an item in a hash:\\r\\n

\\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
\\r\\n

\\r\\n\\r\\n

3. Deleting an item in a hash:\\r\\n

\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n    HASH_DEL(users, user);  \\r\\n}\\r\\n
\\r\\n

\"], \"csharp\": [\"C#\", \"

C# 10 with .NET 6 runtime

\"], \"javascript\": [\"JavaScript\", \"

Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES6 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\\r\\n\\r\\n

For Priority Queue / Queue data structures, you may use 5.3.0 version of datastructures-js/priority-queue and 4.2.1 version of datastructures-js/queue.

\"], \"ruby\": [\"Ruby\", \"

Ruby 3.1

\\r\\n\\r\\n

Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

\"], \"swift\": [\"Swift\", \"

Swift 5.5.2.

\"], \"golang\": [\"Go\", \"

Go 1.17.6.

\\r\\n\\r\\n

Support https://godoc.org/github.com/emirpasic/gods library.

\"], \"python3\": [\"Python3\", \"

Python 3.10.

\\r\\n\\r\\n

Most libraries are already imported automatically for your convenience, such as array, bisect, collections. If you need more libraries, you can import it yourself.

\\r\\n\\r\\n

For Map/TreeMap data structure, you may use sortedcontainers library.

\"], \"scala\": [\"Scala\", \"

Scala 2.13.7.

\"], \"kotlin\": [\"Kotlin\", \"

Kotlin 1.3.10.

\"], \"rust\": [\"Rust\", \"

Rust 1.58.1

\\r\\n\\r\\n

Supports rand v0.6\\u00a0from crates.io

\"], \"php\": [\"PHP\", \"

PHP 8.1.

\\r\\n

With bcmath module

\"], \"typescript\": [\"Typescript\", \"

TypeScript 4.5.4, Node.js 16.13.2.

\\r\\n\\r\\n

Your code is run with --harmony flag, enabling new ES2020 features.

\\r\\n\\r\\n

lodash.js library is included by default.

\"], \"racket\": [\"Racket\", \"

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 24.2\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.0 with Erlang/OTP 24.2\"], \"dart\": [\"Dart\", \"

Dart 2.17.3

\\r\\n\\r\\n

Your code will be run directly without compiling

\"]}", "libraryUrl": null, "adminUrl": null, "challengeQuestion": null, "__typename": "QuestionNode" } } }