Search⌘ K
AI Features
Home
Courses
Grokking the Coding Interview Patterns in C#

Solution: Count Pairs in Two Arrays

Explore how to count pairs of indices (i, j) in two integer arrays where the sum of elements from one array exceeds the other. Learn to optimize the brute force method by sorting a difference array and applying binary search for faster pair counting. This lesson helps you understand sorting and search patterns for efficient problem solving.

We'll cover the following...

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 = nums1.length == nums2.length

  • 1≤n≤1031 \leq n \leq 10^3 ...