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Longest Arithmetic Subsequence

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

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

Note that:

Longest Arithmetic Subsequence diagram

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].

Constraints

  • 2 <= nums.length <= 1000
  • 0 <= nums[i] <= 500

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