#1027

Longest Arithmetic Subsequence

specialist · 870 · lc medium +31 · verified · 49.9% accepted · 4,905 likes · top 37%

Description

Given an integer array nums, return the length of the longest arithmetic subsequence in nums.

- A subsequence is derived by deleting some (or no) elements without changing the order of the rest.

- A sequence is arithmetic if consecutive differences seq[i+1] - seq[i] are all equal.

Example 1:

Input: nums = [3,6,9,12]
Output: 4
Explanation: The whole array is an arithmetic sequence with steps of length = 3.

Example 2:

Input: nums = [9,4,7,2,10]
Output: 3
Explanation: The longest arithmetic subsequence is [4,7,10].

Example 3:

Input: nums = [20,1,15,3,10,5,8]
Output: 4
Explanation: The longest arithmetic subsequence is [20,15,10,5].

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