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Valid Triangle Number

Given an integer array nums, return the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle.

Given an integer array nums, return the number of triplets chosen from the array that can make triangles if we take them as side lengths of a triangle.

Valid Triangle Number diagram

Example 1

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

Output: 3

Explanation: Valid combinations are: 2,3,4 (using the first 2) 2,3,4 (using the second 2) 2,2,3

Example 2

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

Output: 4

Constraints

  • 1 <= nums.length <= 1000
  • 0 <= nums[i] <= 1000

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