{ "data": { "question": { "questionId": "3658", "questionFrontendId": "3357", "boundTopicId": null, "title": "Minimize the Maximum Adjacent Element Difference", "titleSlug": "minimize-the-maximum-adjacent-element-difference", "content": "

You are given an array of integers nums. Some values in nums are missing and are denoted by -1.

\n\n

You can choose a pair of positive integers (x, y) exactly once and replace each missing element with either x or y.

\n\n

You need to minimize the maximum absolute difference between adjacent elements of nums after replacements.

\n\n

Return the minimum possible difference.

\n\n

 

\n

Example 1:

\n\n
\n

Input: nums = [1,2,-1,10,8]

\n\n

Output: 4

\n\n

Explanation:

\n\n

By choosing the pair as (6, 7), nums can be changed to [1, 2, 6, 10, 8].

\n\n

The absolute differences between adjacent elements are:

\n\n\n
\n\n

Example 2:

\n\n
\n

Input: nums = [-1,-1,-1]

\n\n

Output: 0

\n\n

Explanation:

\n\n

By choosing the pair as (4, 4), nums can be changed to [4, 4, 4].

\n
\n\n

Example 3:

\n\n
\n

Input: nums = [-1,10,-1,8]

\n\n

Output: 1

\n\n

Explanation:

\n\n

By choosing the pair as (11, 9), nums can be changed to [11, 10, 9, 8].

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Hard", "likes": 34, "dislikes": 12, "isLiked": null, "similarQuestions": "[{\"title\": \"Minimum Absolute Sum Difference\", \"titleSlug\": \"minimum-absolute-sum-difference\", \"difficulty\": \"Medium\", \"translatedTitle\": null}, {\"title\": \"Minimize the Maximum Adjacent Element Difference\", \"titleSlug\": \"minimize-the-maximum-adjacent-element-difference\", \"difficulty\": \"Hard\", \"translatedTitle\": null}]", "exampleTestcases": "[1,2,-1,10,8]\n[-1,-1,-1]\n[-1,10,-1,8]", "categoryTitle": "Algorithms", "contributors": [], "topicTags": [ { "name": "Array", "slug": "array", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Binary Search", "slug": "binary-search", "translatedName": null, "__typename": "TopicTagNode" }, { "name": "Greedy", "slug": "greedy", "translatedName": null, "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int minDifference(vector& nums) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int minDifference(int[] nums) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def minDifference(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def minDifference(self, nums: List[int]) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int minDifference(int* nums, int numsSize) {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int MinDifference(int[] nums) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} nums\n * @return {number}\n */\nvar minDifference = function(nums) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function minDifference(nums: number[]): number {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[] $nums\n * @return Integer\n */\n function minDifference($nums) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func minDifference(_ nums: [Int]) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun minDifference(nums: IntArray): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int minDifference(List nums) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func minDifference(nums []int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} nums\n# @return {Integer}\ndef min_difference(nums)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def minDifference(nums: Array[Int]): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn min_difference(nums: Vec) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (min-difference nums)\n (-> (listof exact-integer?) exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec min_difference(Nums :: [integer()]) -> integer().\nmin_difference(Nums) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec min_difference(nums :: [integer]) :: integer\n def min_difference(nums) do\n \n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"1.6K\", \"totalSubmission\": \"11K\", \"totalAcceptedRaw\": 1558, \"totalSubmissionRaw\": 11010, \"acRate\": \"14.2%\"}", "hints": [ "More than 2 occurrences of -1 can be ignored.", "We can add the first positive number to the beginning and the last positive number to the end so that any consecutive of -1s are surrounded by positive numbers.", "Suppose the answer is d, it can be proved that for the optimal case we'll replace -1s with values 0 < x <= y and it's always optimal to select x = min(a) + d. So we only need to select y.", "Binary search on d." ], "solution": null, "status": null, "sampleTestCase": "[1,2,-1,10,8]", "metaData": "{\n \"name\": \"minDifference\",\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++\", \"

Compiled with clang 19 using the latest C++ 23 standard, and libstdc++ provided by GCC 14.

\\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 2.7.18.

\\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 is not maintained anymore. For the latest Python, please choose Python3 instead.

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

Compiled with gcc 14 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 and 1.0.4 version of datastructures-js/deque.

\"], \"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 5.10.

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

You may use swift-algorithms 1.2.0 and swift-collections 1.1.4.

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

Go 1.23

\\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 1.79.0. Your code will be compiled with opt-level 2.

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

Supports rand v0.8 and regex\\u00a0v1 from 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.

\\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 and 1.0.4 version of datastructures-js/deque.

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

Racket CS v8.15

\\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 1.17 with Erlang/OTP 26\"], \"dart\": [\"Dart\", \"

Dart 3.2. You may use package collection

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

Your code will be run directly without compiling

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