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Problem: Count Pairs in Two Arrays

med
30 min
Explore how to count pairs of indices where the sum of elements in one array is greater than in another. Understand and apply sorting, binary search, and two-pointer strategies to solve this 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

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Problem
Ask
Submissions

Problem: Count Pairs in Two Arrays

med
30 min
Explore how to count pairs of indices where the sum of elements in one array is greater than in another. Understand and apply sorting, binary search, and two-pointer strategies to solve this 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