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Number of Arithmetic Triplets

You are given a 0-indexed, strictly increasing integer array nums and a positive integer diff.

You are given a 0-indexed, strictly increasing integer array nums and a positive integer diff. A triplet (i, j, k) is an arithmetic triplet if the following conditions are met:

Return the number of unique arithmetic triplets.

Number of Arithmetic Triplets diagram

Example 1

Input: nums = [0,1,4,6,7,10], diff = 3

Output: 2

Explanation: (1, 2, 4) is an arithmetic triplet because both 7 - 4 == 3 and 4 - 1 == 3. (2, 4, 5) is an arithmetic triplet because both 10 - 7 == 3 and 7 - 4 == 3.

Example 2

Input: nums = [4,5,6,7,8,9], diff = 2

Output: 2

Explanation: (0, 2, 4) is an arithmetic triplet because both 8 - 6 == 2 and 6 - 4 == 2. (1, 3, 5) is an arithmetic triplet because both 9 - 7 == 2 and 7 - 5 == 2.

Constraints

  • 3 <= nums.length <= 200
  • 0 <= nums[i] <= 200
  • 1 <= diff <= 50
  • nums is strictly increasing.

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