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Problem: Find K Pairs with Smallest Sums

Medium
30 min
Explore how to find the k pairs of numbers with the smallest sums from two sorted arrays. This lesson helps you understand and implement k-way merge strategies to solve this problem efficiently, preparing you for coding interviews that involve merging and sorting challenges.

Statement

You are given two integer arrays, list1 and list2, sorted in non-decreasing order, and an integer, k.

A pair (u, v)(u, \space v) is defined as one element uu chosen from list1 and one element vv chosen from list2.

Your task is to return the k pairs (u1, v1),(u2, v2),...,(uk, vk)(u1, \space v1), (u2, \space v2), ..., (uk, \space vk) whose sums u1+v1,u2+v2,...,uk+vku1 + v1, u2 + v2, ..., uk + vk are the smallest among all possible such pairs.

Constraints:

  • 11 \leq list1.length, list2.length \leq 500500

  • 104-10^4 \leq list1[i], list2[i] \leq 10410^4

  • 11 \leq kk \leq 10310^3

  • Input lists should be sorted in ascending order.

  • If the value of kk exceeds the total number of valid pairs that may be formed, return all the pairs.

Problem
Ask
Submissions

Problem: Find K Pairs with Smallest Sums

Medium
30 min
Explore how to find the k pairs of numbers with the smallest sums from two sorted arrays. This lesson helps you understand and implement k-way merge strategies to solve this problem efficiently, preparing you for coding interviews that involve merging and sorting challenges.

Statement

You are given two integer arrays, list1 and list2, sorted in non-decreasing order, and an integer, k.

A pair (u, v)(u, \space v) is defined as one element uu chosen from list1 and one element vv chosen from list2.

Your task is to return the k pairs (u1, v1),(u2, v2),...,(uk, vk)(u1, \space v1), (u2, \space v2), ..., (uk, \space vk) whose sums u1+v1,u2+v2,...,uk+vku1 + v1, u2 + v2, ..., uk + vk are the smallest among all possible such pairs.

Constraints:

  • 11 \leq list1.length, list2.length \leq 500500

  • 104-10^4 \leq list1[i], list2[i] \leq 10410^4

  • 11 \leq kk \leq 10310^3

  • Input lists should be sorted in ascending order.

  • If the value of kk exceeds the total number of valid pairs that may be formed, return all the pairs.