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Arithmetic Slices II - Subsequence

Given an integer array nums, return the number of all the arithmetic subsequences of nums.

Given an integer array nums, return the number of all the arithmetic subsequences of nums.

A sequence of numbers is called arithmetic if it consists of at least three elements and if the difference between any two consecutive elements is the same.

A subsequence of an array is a sequence that can be formed by removing some elements (possibly none) of the array.

The test cases are generated so that the answer fits in 32-bit integer.

Arithmetic Slices II - Subsequence diagram

Example 1

Input: nums = [2,4,6,8,10]

Output: 7

Explanation: All arithmetic subsequence slices are: [2,4,6] [4,6,8] [6,8,10] [2,4,6,8] [4,6,8,10] [2,4,6,8,10] [2,6,10]

Example 2

Input: nums = [7,7,7,7,7]

Output: 16

Explanation: Any subsequence of this array is arithmetic.

Constraints

  • 1 <= nums.length <= 1000
  • -231 <= nums[i] <= 231 - 1

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