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Grokking the Coding Interview Patterns in Go

Solution: Count Pairs in Two Arrays

Explore how to count pairs of indices from two arrays where the sum in the first array is greater than the second. Learn to optimize the solution with a difference array, sorting, and binary search, improving time complexity from quadratic to logarithmic scale. Understand step-by-step how to implement this for efficient pair counting.

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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 = ...