{ "data": { "question": { "questionId": "1330", "questionFrontendId": "1218", "categoryTitle": "Algorithms", "boundTopicId": 31687, "title": "Longest Arithmetic Subsequence of Given Difference", "titleSlug": "longest-arithmetic-subsequence-of-given-difference", "content": "

Given an integer array arr and an integer difference, return the length of the longest subsequence in arr which is an arithmetic sequence such that the difference between adjacent elements in the subsequence equals difference.

\n\n

A subsequence is a sequence that can be derived from arr by deleting some or no elements without changing the order of the remaining elements.

\n\n

 

\n

Example 1:

\n\n
\nInput: arr = [1,2,3,4], difference = 1\nOutput: 4\nExplanation: The longest arithmetic subsequence is [1,2,3,4].
\n\n

Example 2:

\n\n
\nInput: arr = [1,3,5,7], difference = 1\nOutput: 1\nExplanation: The longest arithmetic subsequence is any single element.\n
\n\n

Example 3:

\n\n
\nInput: arr = [1,5,7,8,5,3,4,2,1], difference = -2\nOutput: 4\nExplanation: The longest arithmetic subsequence is [7,5,3,1].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "最长定差子序列", "translatedContent": "

给你一个整数数组 arr 和一个整数 difference,请你找出并返回 arr 中最长等差子序列的长度,该子序列中相邻元素之间的差等于 difference

\n\n

子序列 是指在不改变其余元素顺序的情况下,通过删除一些元素或不删除任何元素而从 arr 派生出来的序列。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:arr = [1,2,3,4], difference = 1\n输出:4\n解释:最长的等差子序列是 [1,2,3,4]。
\n\n

示例 2:

\n\n
\n输入:arr = [1,3,5,7], difference = 1\n输出:1\n解释:最长的等差子序列是任意单个元素。\n
\n\n

示例 3:

\n\n
\n输入:arr = [1,5,7,8,5,3,4,2,1], difference = -2\n输出:4\n解释:最长的等差子序列是 [7,5,3,1]。\n
\n\n

 

\n\n

提示:

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exact-integer?)\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec longest_subsequence(Arr :: [integer()], Difference :: integer()) -> integer().\nlongest_subsequence(Arr, Difference) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec longest_subsequence(arr :: [integer], difference :: integer) :: integer\n def longest_subsequence(arr, difference) do\n \n end\nend", "__typename": "CodeSnippetNode" }, { "lang": "Cangjie", "langSlug": "cangjie", "code": "class Solution {\n func longestSubsequence(arr: Array, difference: Int64): Int64 {\n\n }\n}", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"57.5K\", \"totalSubmission\": \"115.1K\", \"totalAcceptedRaw\": 57533, \"totalSubmissionRaw\": 115120, \"acRate\": \"50.0%\"}", "hints": [ "Use dynamic programming.", "Let dp[i] be the maximum length of a subsequence of the given difference whose last element is i.", "dp[i] = 1 + dp[i-k]" ], "solution": null, "status": null, "sampleTestCase": "[1,2,3,4]\n1", "metaData": "{\n \"name\": \"longestSubsequence\",\n \"params\": [\n {\n \"name\": \"arr\",\n \"type\": \"integer[]\"\n },\n {\n \"type\": \"integer\",\n \"name\": \"difference\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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