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Grokking the Coding Interview Patterns in Python

Solution: Valid Triangle Number

Explore how to determine the number of valid triangles from an array of integers by using sorting and the two-pointer method. Learn to apply the triangle inequality rule, use sorted arrays to simplify problem constraints, and efficiently count valid triplets with optimized time and constant space complexity.

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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] ...