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Valid Triangle Number

Explore how to determine the number of unique triplets in an array that satisfy the triangle inequality using sorting and search strategies. Understand the problem's constraints and develop a clear approach to solving it by identifying valid triangles where the sum of any two smaller sides exceeds the largest side.

Statement

Given an array of integers, nums, determine the number of unique triplets that can be selected from the array such that the selected values can form the sides of a valid triangleA triangle is valid if the sum of the lengths of any two smaller sides is strictly greater than the length of the third largest side. For three sides a, b, c (such that a ≤ b ≤ c), the condition to form a valid triangle is a + b > c.. Return this count as the result.

Constraints:

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