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Grokking the Coding Interview Patterns in Go

Solution: Count Pairs in Two Arrays

Understand how to count valid index pairs from two integer arrays where the sum of elements in the first array exceeds that of the second. Explore an efficient solution using a difference array combined with sorting and binary search, achieving improved time complexity over brute force.

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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 = ...