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Problem: Kth Smallest Element in a Sorted Matrix

med
30 min
Explore how to identify the kth smallest element in an n by n matrix where rows and columns are sorted. Understand the problem constraints and apply k-way merge techniques to solve efficiently. This lesson helps you practice logical problem solving and implement your solution in code.

Statement

Find the kthk^{th} smallest element in an (n×n)(n \times n) matrix, where each row and column of the matrix is sorted in ascending order.

Although there can be repeating values in the matrix, each element is considered unique and, therefore, contributes to calculating the kthk^{th} smallest element.

Constraints:

  • n ==== matrix.length
  • n ==== matrix[i].length
  • 11\leq n 100\leq100
  • 103-10^3\leq matrix[i][j] 103\leq10^3
  • 11\leq k n2\leq n^2
Tap here to switch tabs
Problem
Ask
Submissions

Problem: Kth Smallest Element in a Sorted Matrix

med
30 min
Explore how to identify the kth smallest element in an n by n matrix where rows and columns are sorted. Understand the problem constraints and apply k-way merge techniques to solve efficiently. This lesson helps you practice logical problem solving and implement your solution in code.

Statement

Find the kthk^{th} smallest element in an (n×n)(n \times n) matrix, where each row and column of the matrix is sorted in ascending order.

Although there can be repeating values in the matrix, each element is considered unique and, therefore, contributes to calculating the kthk^{th} smallest element.

Constraints:

  • n ==== matrix.length
  • n ==== matrix[i].length
  • 11\leq n 100\leq100
  • 103-10^3\leq matrix[i][j] 103\leq10^3
  • 11\leq k n2\leq n^2