Search⌘ K
AI Features

Solution: Kth Smallest Number in M Sorted Lists

Explore the k-way merge technique to find the kth smallest number among m sorted lists. Understand how to use a min-heap to merge without full sorting, improving time complexity to O((m+k) log m). Learn step-by-step how to implement this optimized algorithm and evaluate its efficiency compared to naive methods.

Statement

Given a list, lists, containing mm sorted lists of integers in ascending order, and an integer k, find the kthk^{th} smallest element among all the lists.

Even if some values appear multiple times across the lists, each occurrence is treated as a unique element when determining the kthk^{th} smallest number.

If k exceeds the total number of elements across all lists, return the largest element among them. If the lists are empty, return 0.

Constraints:

  • 1m501\leq m \leq50
  • 00\leq lists[i].length 50\leq 50
  • 109-10^9\leq lists[i][j] 109\leq 10^9
...