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Valid Triangle Number

Understand how to identify all triplets in an array that can form valid triangles by analyzing side length conditions. Learn to implement efficient solutions using sorting combined with binary search or two-pointer techniques to count valid triangle numbers.

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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