{ "data": { "question": { "questionId": "2855", "questionFrontendId": "2770", "boundTopicId": null, "title": "Maximum Number of Jumps to Reach the Last Index", "titleSlug": "maximum-number-of-jumps-to-reach-the-last-index", "content": "

You are given a 0-indexed array nums of n integers and an integer target.

\n\n

You are initially positioned at index 0. In one step, you can jump from index i to any index j such that:

\n\n\n\n

Return the maximum number of jumps you can make to reach index n - 1.

\n\n

If there is no way to reach index n - 1, return -1.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [1,3,6,4,1,2], target = 2\nOutput: 3\nExplanation: To go from index 0 to index n - 1 with the maximum number of jumps, you can perform the following jumping sequence:\n- Jump from index 0 to index 1. \n- Jump from index 1 to index 3.\n- Jump from index 3 to index 5.\nIt can be proven that there is no other jumping sequence that goes from 0 to n - 1 with more than 3 jumps. Hence, the answer is 3.
\n\n

Example 2:

\n\n
\nInput: nums = [1,3,6,4,1,2], target = 3\nOutput: 5\nExplanation: To go from index 0 to index n - 1 with the maximum number of jumps, you can perform the following jumping sequence:\n- Jump from index 0 to index 1.\n- Jump from index 1 to index 2.\n- Jump from index 2 to index 3.\n- Jump from index 3 to index 4.\n- Jump from index 4 to index 5.\nIt can be proven that there is no other jumping sequence that goes from 0 to n - 1 with more than 5 jumps. Hence, the answer is 5.
\n\n

Example 3:

\n\n
\nInput: nums = [1,3,6,4,1,2], target = 0\nOutput: -1\nExplanation: It can be proven that there is no jumping sequence that goes from 0 to n - 1. Hence, the answer is -1. \n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 360, "dislikes": 10, "isLiked": null, "similarQuestions": "[{\"title\": \"Jump Game II\", \"titleSlug\": \"jump-game-ii\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Frog Jump\", \"titleSlug\": \"frog-jump\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Jump Game III\", \"titleSlug\": \"jump-game-iii\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Jump Game IV\", \"titleSlug\": \"jump-game-iv\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Minimum Jumps to Reach Home\", \"titleSlug\": \"minimum-jumps-to-reach-home\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Jump Game VII\", \"titleSlug\": \"jump-game-vii\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[1,3,6,4,1,2]\n2\n[1,3,6,4,1,2]\n3\n[1,3,6,4,1,2]\n0", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Dynamic Programming", "slug": "dynamic-programming", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int maximumJumps(vector& nums, int target) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int maximumJumps(int[] nums, int target) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def maximumJumps(self, nums, target):\n \"\"\"\n :type nums: List[int]\n :type target: int\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def maximumJumps(self, nums: List[int], target: int) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int maximumJumps(int* nums, int numsSize, int target){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int MaximumJumps(int[] nums, int target) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} nums\n * @param {number} target\n * @return {number}\n */\nvar maximumJumps = function(nums, target) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function maximumJumps(nums: number[], target: number): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @param Integer $target\n * @return Integer\n */\n function maximumJumps($nums, $target) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func maximumJumps(_ nums: [Int], _ target: Int) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun maximumJumps(nums: IntArray, target: Int): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int maximumJumps(List nums, int target) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func maximumJumps(nums []int, target int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} nums\n# @param {Integer} target\n# @return {Integer}\ndef maximum_jumps(nums, target)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def maximumJumps(nums: Array[Int], target: Int): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn maximum_jumps(nums: Vec, target: i32) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (maximum-jumps nums target)\n (-> (listof exact-integer?) exact-integer? exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec maximum_jumps(Nums :: [integer()], Target :: integer()) -> integer().\nmaximum_jumps(Nums, Target) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec maximum_jumps(nums :: [integer], target :: integer) :: integer\n def maximum_jumps(nums, target) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"22.4K\", \"totalSubmission\": \"77.2K\", \"totalAcceptedRaw\": 22447, \"totalSubmissionRaw\": 77223, \"acRate\": \"29.1%\"}", "hints": [ "Use a dynamic programming approach.", "Define a dynamic programming array dp of size n, where dp[i] represents the maximum number of jumps from index 0 to index i.", "For each j iterate over all i < j. Set dp[j] = max(dp[j], dp[i] + 1) if -target <= nums[j] - nums[i] <= target." ], "solution": null, "status": null, "sampleTestCase": "[1,3,6,4,1,2]\n2", "metaData": "{\n \"name\": \"maximumJumps\",\n \"params\": [\n {\n \"name\": \"nums\",\n \"type\": \"integer[]\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"target\"\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++ 20 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 1.21

\\r\\n

Support https://godoc.org/github.com/emirpasic/gods@v1.18.1 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 1.9.0.

\"], \"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 5.1.6, Node.js 16.13.2.

\\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\", \"

Run with Racket 8.3.

\"], \"erlang\": [\"Erlang\", \"Erlang/OTP 25.0\"], \"elixir\": [\"Elixir\", \"Elixir 1.13.4 with Erlang/OTP 25.0\"], \"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" } } }