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Solution: Count Pairs Whose Sum is Less than Target

Explore how to count distinct pairs in an integer array where the sum is strictly less than a target value. Learn to apply sorting and a two-pointer approach to solve the problem efficiently in O(n log n) time. Understand how adjusting two pointers helps evaluate valid pairs and optimize the solution.

Statement

You are given a 0-indexed integer array, nums, of length nn, and an integer target. Your task is to determine the number of distinct pairs of indexes (i,j)(i, j) such that:

  • 0i<j<n0 \leq i < j < n (i.e., ii comes before jj ...