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Solution: Valid Triangle Number

Discover how to count the number of valid triangles formed by triplets in an integer array. This lesson teaches the use of sorting combined with the two-pointer technique to efficiently identify valid triangle combinations based on the triangle inequality rule. Understand the step-by-step approach to implement the solution, analyze its time and space complexity, and enhance your coding interview pattern skills.

Statement

Given an array of integers, nums, determine the number of triplets of distinct indices (i, j, k) that can be selected from the array such that the values at those indices can form the sides of a valid triangle.

Return this count as the result.

Note: The triplet of indices is treated as an unordered combination, not a permutation. For example, indices (0, 1, 2) and (2, 1, 0) represent the same triplet and should be counted once.

Constraints:

  • 1<=1 <= nums.length <=1000<= 1000

  • 0<=0 <= nums[i] ...