Kth element in Matrix | Practice

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Suggest Changes in Problem Statement:

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.

<div>Example 1:</div>

<pre>
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.</pre>

<div>Example 2:</div>

<pre>
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.</pre>

<div> 
 
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.</div>

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

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

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.

<div>Example 1:</div>

<pre>
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.</pre>

<div>Example 2:</div>

<pre>
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.</pre>

<div> 
 
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.</div>

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

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

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