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Problem: Kth Smallest Element in a Sorted Matrix

Medium
30 min
Explore how to identify the kth smallest element in an n by n matrix sorted by row and column. Understand constraints and apply k-way merge strategies to solve this common coding interview problem efficiently.

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
Problem
Ask
Submissions

Problem: Kth Smallest Element in a Sorted Matrix

Medium
30 min
Explore how to identify the kth smallest element in an n by n matrix sorted by row and column. Understand constraints and apply k-way merge strategies to solve this common coding interview problem efficiently.

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