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Grokking the Coding Interview Patterns in C++

Solution: Count Pairs in Two Arrays

Explore how to efficiently count pairs from two arrays where the sum from the first array is greater than the second. Understand how to use a difference array, sorting, and binary search to reduce time complexity and improve performance.

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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 = ...