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Grokking the Coding Interview Patterns in Python

Solution: Count Pairs in Two Arrays

Explore how to count pairs of indices in two arrays such that the sum of elements from the first array is greater than that of the second. Understand and implement an optimized approach using difference arrays, sorting, and binary search to improve performance over brute force methods.

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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 = ...