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Grokking the Coding Interview Patterns in C++

Solution: Kth Smallest Element in a Sorted Matrix

Explore how to solve the problem of finding the kth smallest element in an n by n sorted matrix using the k-way merge pattern. Understand the use of a min-heap to efficiently merge rows and track elements until the kth smallest is found. Learn the algorithm's implementation and analyze its time and space complexity to deepen your coding interview problem-solving skills.

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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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