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Solution: Count Pairs in Two Arrays

Explore how to count pairs (i, j) from two arrays where the sum from the first is greater than the second. Learn to optimize the brute force approach by sorting a difference array and using binary search, reducing the time complexity to O(n log n). This lesson helps you master sorting and search strategies for efficient coding interview solutions.

Statement

You are given two positive integer arrays, nums1 and nums2, both of length nn. Your task is to count and return the number of pairs of indexes (i,j)(i, j) where:

  • i<ji < j , and

  • nums1[i]+nums1[j]>nums2[i]+nums2[j]\text{nums1}[i] + \text{nums1}[j] > \text{nums2}[i] + \text{nums2}[j]

In simpler terms, the sum of two elements from nums1 must be greater than that of the corresponding elements from nums2.

Constraints:

  • n=n = ...