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Solution: Valid Triangle Number

Explore how to determine the number of valid triangle triplets in an array using sorting and the two-pointer technique. Understand the triangle inequality rule and how sorting helps simplify the process. This lesson guides you through implementing an efficient O(n^2) time complexity solution with constant extra space, enhancing your problem-solving skills with the sort and search pattern.

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] ...