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Grokking the Coding Interview Patterns in Go

Solution: Count Pairs in Two Arrays

Explore how to efficiently count pairs in two arrays where the sum of elements from the first array exceeds that of the second array. Learn to simplify the problem by using a difference array, apply sorting to organize data, and utilize binary search to reduce time complexity. This lesson focuses on sorting and search techniques to solve the problem within O(n log n) time, providing hands-on understanding of optimizing pair comparisons.

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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 = ...