Grokking the Coding Interview: Patterns for Coding Questions
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Solution: Kth Smallest Number in a Sorted Matrix
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Problem Statement

Given an N * N matrix where each row and column is sorted in ascending order, find the Kth smallest element in the matrix.

Example 1:

Input: Matrix=[
    [2, 6, 8], 
    [3, 7, 10],
    [5, 8, 11]
  ], 
  K=5
Output: 7
Explanation: The 5th smallest number in the matrix is 7.

Constraints:

  • n == matrix.length == matrix[i].length
  • 1 <= n <= 300
  • -10<sup>9</sup> <= matrix[i][j] <= 10<sup>9</sup>
  • All the rows and columns of matrix are guaranteed to be sorted in non-decreasing order.
  • 1 <= k <= n<sup>2</sup>

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