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Solution: Kth Smallest Element in a Sorted Matrix

Explore how to apply the k-way merge pattern to find the kth smallest element in a sorted matrix. Understand using a min-heap for merging sorted rows, managing heap operations, and analyze the time and space complexity involved. This lesson helps you implement an efficient solution with detailed steps and algorithmic reasoning.

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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
  • 1≤1\leq n ≤100\leq100
  • −103≤-10^3\leq
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