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Problem: Count Pairs in Two Arrays

Medium
30 min
Explore how to solve problems involving pairs from two arrays by implementing sorting and search methods. This lesson helps you efficiently count index pairs (i, j) where the sum of elements from one array is greater than the other, applying key problem-solving patterns to improve algorithm performance.

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 solve problems involving pairs from two arrays by implementing sorting and search methods. This lesson helps you efficiently count index pairs (i, j) where the sum of elements from one array is greater than the other, applying key problem-solving patterns to improve algorithm performance.

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