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Solution: Valid Triangle Number

Understand how to count the number of unique triplets forming valid triangles by applying the sort and search pattern. Learn to sort an array and use two pointers to efficiently identify combinations that satisfy the triangle inequality rule, mastering a common algorithmic technique used in coding interviews.

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] ...