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Problem: Count Pairs in Two Arrays

Medium
30 min
Explore how to count index pairs in two arrays where the sum from one exceeds the other. Learn to apply sorting, binary search, and two-pointer methods to solve the problem efficiently within given constraints.

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

  • 1n1031 \leq n \leq 10^3

  • 11 \leq nums1[i], nums2[i] 104\leq 10^4

Problem
Ask
Submissions

Problem: Count Pairs in Two Arrays

Medium
30 min
Explore how to count index pairs in two arrays where the sum from one exceeds the other. Learn to apply sorting, binary search, and two-pointer methods to solve the problem efficiently within given constraints.

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

  • 1n1031 \leq n \leq 10^3

  • 11 \leq nums1[i], nums2[i] 104\leq 10^4