{ "data": { "question": { "questionId": "3355", "questionFrontendId": "3096", "boundTopicId": null, "title": "Minimum Levels to Gain More Points", "titleSlug": "minimum-levels-to-gain-more-points", "content": "

You are given a binary array possible of length n.

\n\n

Danielchandg and Bob are playing a game that consists of n levels. Some of the levels in the game are impossible to clear while others can always be cleared. In particular, if possible[i] == 0, then the ith level is impossible to clear for both the players. A player gains 1 point on clearing a level and loses 1 point if the player fails to clear it.

\n\n

At the start of the game, Danielchandg will play some levels in the given order starting from the 0th level, after which Bob will play for the rest of the levels.

\n\n

Danielchandg wants to know the minimum number of levels he should play to gain more points than Bob, if both players play optimally to maximize their points.

\n\n

Return the minimum number of levels danielchandg should play to gain more points. If this is not possible, return -1.

\n\n

Note that each player must play at least 1 level.

\n\n

 

\n

Example 1:

\n\n
\n

Input: possible = [1,0,1,0]

\n\n

Output: 1

\n\n

Explanation:

\n\n

Let's look at all the levels that Danielchandg can play up to:

\n\n\n\n

Danielchandg must play a minimum of 1 level to gain more points.

\n
\n\n

Example 2:

\n\n
\n

Input: possible = [1,1,1,1,1]

\n\n

Output: 3

\n\n

Explanation:

\n\n

Let's look at all the levels that Danielchandg can play up to:

\n\n\n\n

Danielchandg must play a minimum of 3 levels to gain more points.

\n
\n\n

Example 3:

\n\n
\n

Input: possible = [0,0]

\n\n

Output: -1

\n\n

Explanation:

\n\n

The only possible way is for both players to play 1 level each. Danielchandg plays level 0 and loses 1 point. Bob plays level 1 and loses 1 point. As both players have equal points, Danielchandg can't gain more points than Bob.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 58, "dislikes": 17, "isLiked": null, "similarQuestions": "[{\"title\": \"Minimum Rounds to Complete All Tasks\", \"titleSlug\": \"minimum-rounds-to-complete-all-tasks\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[1,0,1,0]\n[1,1,1,1,1]\n[0,0]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Prefix Sum", "slug": "prefix-sum", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int minimumLevels(vector& possible) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int minimumLevels(int[] possible) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def minimumLevels(self, possible):\n \"\"\"\n :type possible: List[int]\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def minimumLevels(self, possible: List[int]) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int minimumLevels(int* possible, int possibleSize) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int MinimumLevels(int[] possible) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} possible\n * @return {number}\n */\nvar minimumLevels = function(possible) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function minimumLevels(possible: number[]): number {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[] $possible\n * @return Integer\n */\n function minimumLevels($possible) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func minimumLevels(_ possible: [Int]) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun minimumLevels(possible: IntArray): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int minimumLevels(List possible) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func minimumLevels(possible []int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} possible\n# @return {Integer}\ndef minimum_levels(possible)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def minimumLevels(possible: Array[Int]): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn minimum_levels(possible: Vec) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (minimum-levels possible)\n (-> (listof exact-integer?) exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec minimum_levels(Possible :: [integer()]) -> integer().\nminimum_levels(Possible) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec minimum_levels(possible :: [integer]) :: integer\n def minimum_levels(possible) do\n \n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"18.4K\", \"totalSubmission\": \"46K\", \"totalAcceptedRaw\": 18390, \"totalSubmissionRaw\": 45989, \"acRate\": \"40.0%\"}", "hints": [ "Change all 0 in possible array into -1.", "We need to find the shortest non-empty prefix of the new possible array such that the sum of elements in it is strictly larger than the remaining part." ], "solution": null, "status": null, "sampleTestCase": "[1,0,1,0]", "metaData": "{\n \"name\": \"minimumLevels\",\n \"params\": [\n {\n \"name\": \"possible\",\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++\", \"

Compiled with clang 17 using the latest C++ 20 standard, and libstdc++ provided by GCC 11.

\\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 21. Using compile arguments: --enable-preview --release 21

\\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 11 using the gnu11 standard.

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

Your code is compiled with level one 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.

\\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# 12 with .NET 8 runtime

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

Node.js 20.10.0.

\\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 5.4.0 version of datastructures-js/priority-queue and 4.2.3 version of datastructures-js/queue.

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

Ruby 3.2

\\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 5.9.

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

You may use swift-algorithms 1.2.0 and swift-collections 1.0.6.

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

Go 1.21

\\r\\n

Support https://pkg.go.dev/github.com/emirpasic/gods@v1.18.1 and https://pkg.go.dev/github.com/emirpasic/gods/v2@v2.0.0-alpha library.

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

Python 3.11.

\\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 3.3.1.

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

Kotlin 1.9.0.

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

We are using an experimental compiler provided by JetBrains.

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

Rust 1.74.1

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

Supports rand v0.6\\u00a0from crates.io

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

PHP 8.2.

\\r\\n

With bcmath module

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

TypeScript 5.1.6, Node.js 20.10.0.

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

Compile Options: --alwaysStrict --strictBindCallApply --strictFunctionTypes --target ES2022

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

Your code is run with --harmony flag, enabling new ES2022 features.

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

lodash.js library is included by default.

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

Racket CS v8.11

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

Using #lang racket

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

Required data/gvector data/queue data/order data/heap automatically for your convenience

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 26\"], \"elixir\": [\"Elixir\", \"Elixir 1.15 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"

Dart 3.2

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

Your code will be run directly without compiling

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