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Solution: Valid Triangle Number

Understand how to determine the number of valid triangles from an integer array by using the sort and search pattern. Explore sorting combined with two-pointer traversal to apply the triangle inequality rule efficiently. This lesson helps you code and analyze a solution with O(n²) time complexity while managing space effectively.

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:

  • 1<=1 <= nums.length <=1000<= 1000

  • 0<=0 <= nums[i] ...