Kth element in Matrix
Medium Accuracy: 43.25% Submissions: 7547 Points: 4

Given a N x N matrix, where every row and column is sorted in non-decreasing order. Find the kth smallest element in the matrix.

Example 1:
Input:
N = 4
mat[][] =     {{16, 28, 60, 64},
                   {22, 41, 63, 91},
                   {27, 50, 87, 93},
                   {36, 78, 87, 94 }}
K = 3
Output: 27
Explanation: 27 is the 3rd smallest element.

 

Example 2:
Input:
N = 4
mat[][] =     {{10, 20, 30, 40}
                   {15, 25, 35, 45}
                   {24, 29, 37, 48}
                   {32, 33, 39, 50}}
K = 7
Output: 30
Explanation: 30 is the 7th smallest element.


Your Task:
You don't need to read input or print anything. Complete the function kthsmallest() which takes the mat, N and K as input parameters and returns the kth smallest element in the matrix.

 

Expected Time Complexity: O(N*Log(N))
Expected Auxiliary Space: O(N)

 

Constraints:
1 <= N <= 50
1 <= mat[][] <= 10000

1 <= K <= N*N

 

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