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Grokking the Coding Interview Patterns in C++

Solution: Count Pairs in Two Arrays

Understand how to count pairs (i, j) where sums from one array exceed another by leveraging sorting and binary search. Explore difference arrays and optimize nested loop approaches to solve the problem with O(n log n) time complexity.

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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 = ...