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Grokking the Coding Interview Patterns in Python

Solution: Count Pairs in Two Arrays

Explore how to efficiently count pairs of indices in two arrays where the sum from the first array is greater than the second. Learn to use sorting and binary search to reduce complexity from brute force to O(n log n), enabling faster solutions for pair comparison problems.

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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 = ...