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Number of Unequal Triplets in Array

You are given a 0-indexed array of positive integers nums.

You are given a 0-indexed array of positive integers nums. Find the number of triplets (i, j, k) that meet the following conditions:

Return the number of triplets that meet the conditions.

Number of Unequal Triplets in Array diagram

Example 1

Input: nums = [4,4,2,4,3]

Output: 3

Explanation: The following triplets meet the conditions: - (0, 2, 4) because 4 != 2 != 3 - (1, 2, 4) because 4 != 2 != 3 - (2, 3, 4) because 2 != 4 != 3 Since there are 3 triplets, we return 3. Note that (2, 0, 4) is not a valid triplet because 2 > 0.

Example 2

Input: nums = [1,1,1,1,1]

Output: 0

Explanation: No triplets meet the conditions so we return 0.

Constraints

  • 3 <= nums.length <= 100
  • 1 <= nums[i] <= 1000

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