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Grokking the Coding Interview Patterns in C#

Solution: Count Pairs in Two Arrays

Explore how to count index pairs in two arrays where the sum of nums1 elements exceeds that of nums2. Learn to optimize from a brute force approach to an efficient sorting and binary search solution, improving time complexity from O(n²) to O(n log n). This lesson helps you implement and understand these techniques to solve pair comparison problems effectively.

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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 = ...