{ "data": { "question": { "questionId": "2869", "questionFrontendId": "2771", "boundTopicId": null, "title": "Longest Non-decreasing Subarray From Two Arrays", "titleSlug": "longest-non-decreasing-subarray-from-two-arrays", "content": "

You are given two 0-indexed integer arrays nums1 and nums2 of length n.

\n\n

Let's define another 0-indexed integer array, nums3, of length n. For each index i in the range [0, n - 1], you can assign either nums1[i] or nums2[i] to nums3[i].

\n\n

Your task is to maximize the length of the longest non-decreasing subarray in nums3 by choosing its values optimally.

\n\n

Return an integer representing the length of the longest non-decreasing subarray in nums3.

\n\n

Note: A subarray is a contiguous non-empty sequence of elements within an array.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums1 = [2,3,1], nums2 = [1,2,1]\nOutput: 2\nExplanation: One way to construct nums3 is: \nnums3 = [nums1[0], nums2[1], nums2[2]] => [2,2,1]. \nThe subarray starting from index 0 and ending at index 1, [2,2], forms a non-decreasing subarray of length 2. \nWe can show that 2 is the maximum achievable length.
\n\n

Example 2:

\n\n
\nInput: nums1 = [1,3,2,1], nums2 = [2,2,3,4]\nOutput: 4\nExplanation: One way to construct nums3 is: \nnums3 = [nums1[0], nums2[1], nums2[2], nums2[3]] => [1,2,3,4]. \nThe entire array forms a non-decreasing subarray of length 4, making it the maximum achievable length.\n
\n\n

Example 3:

\n\n
\nInput: nums1 = [1,1], nums2 = [2,2]\nOutput: 2\nExplanation: One way to construct nums3 is: \nnums3 = [nums1[0], nums1[1]] => [1,1]. \nThe entire array forms a non-decreasing subarray of length 2, making it the maximum achievable length.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": null, "translatedContent": null, "isPaidOnly": false, "difficulty": "Medium", "likes": 515, "dislikes": 10, "isLiked": null, "similarQuestions": "[{\"title\": \"Russian Doll Envelopes\", \"titleSlug\": \"russian-doll-envelopes\", \"difficulty\": \"Hard\", \"translatedTitle\": null}, {\"title\": \"Maximum Length of Pair Chain\", \"titleSlug\": \"maximum-length-of-pair-chain\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]", "exampleTestcases": "[2,3,1]\n[1,2,1]\n[1,3,2,1]\n[2,2,3,4]\n[1,1]\n[2,2]", "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 maxNonDecreasingLength(vector& nums1, vector& nums2) {\n \n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int maxNonDecreasingLength(int[] nums1, int[] nums2) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def maxNonDecreasingLength(self, nums1, nums2):\n \"\"\"\n :type nums1: List[int]\n :type nums2: List[int]\n :rtype: int\n \"\"\"\n ", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n ", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "int maxNonDecreasingLength(int* nums1, int nums1Size, int* nums2, int nums2Size){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int MaxNonDecreasingLength(int[] nums1, int[] nums2) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} nums1\n * @param {number[]} nums2\n * @return {number}\n */\nvar maxNonDecreasingLength = function(nums1, nums2) {\n \n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function maxNonDecreasingLength(nums1: number[], nums2: number[]): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[] $nums1\n * @param Integer[] $nums2\n * @return Integer\n */\n function maxNonDecreasingLength($nums1, $nums2) {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func maxNonDecreasingLength(_ nums1: [Int], _ nums2: [Int]) -> Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun maxNonDecreasingLength(nums1: IntArray, nums2: IntArray): Int {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n int maxNonDecreasingLength(List nums1, List nums2) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func maxNonDecreasingLength(nums1 []int, nums2 []int) int {\n \n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} nums1\n# @param {Integer[]} nums2\n# @return {Integer}\ndef max_non_decreasing_length(nums1, nums2)\n \nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def maxNonDecreasingLength(nums1: Array[Int], nums2: Array[Int]): Int = {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn max_non_decreasing_length(nums1: Vec, nums2: Vec) -> i32 {\n \n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (max-non-decreasing-length nums1 nums2)\n (-> (listof exact-integer?) (listof exact-integer?) exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec max_non_decreasing_length(Nums1 :: [integer()], Nums2 :: [integer()]) -> integer().\nmax_non_decreasing_length(Nums1, Nums2) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec max_non_decreasing_length(nums1 :: [integer], nums2 :: [integer]) :: integer\n def max_non_decreasing_length(nums1, nums2) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"18.1K\", \"totalSubmission\": \"64.7K\", \"totalAcceptedRaw\": 18089, \"totalSubmissionRaw\": 64654, \"acRate\": \"28.0%\"}", "hints": [ "Consider using dynamic programming.", "Let dp[i][0] (dp[i][1]) be the length of the longest non-decreasing ending with nums1[i] (nums2[i]).", "Initialize dp[i][0] to 1. If nums1[i] >= nums1[i - 1] then dp[i][0] may be dp[i - 1][0] + 1. If nums1[i] >= nums2[i - 1] then dp[i][0] may be dp[i - 1][1] + 1. Perform a similar calculation for nums2[i] and dp[i][1]." ], "solution": null, "status": null, "sampleTestCase": "[2,3,1]\n[1,2,1]", "metaData": "{\n \"name\": \"maxNonDecreasingLength\",\n \"params\": [\n {\n \"name\": \"nums1\",\n \"type\": \"integer[]\"\n },\n {\n \"type\": \"integer[]\",\n \"name\": \"nums2\"\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" } } }