# Program to find nth smallest number from a given matrix in Python

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Suppose we have a 2D matrix, where each row and column is sorted in non-decreasing order, we have to find the nth smallest number.

So, if the input is like

 2 4 30 3 4 31 6 6 32

And n = 4, then the output will be 6.

To solve this, we will follow these steps −

• lst := a new list
• for each row i in matrix, do
• for each cell j in i, do
• insert j at the end of lst
• sort the list lst
• return lst[n]

Let us see the following implementation to get better understanding −

## Example

Live Demo

class Solution:
def solve(self, matrix, n):
lst = []
for i in matrix:
for j in i:
lst.append(j)
lst.sort()
return lst[n]
ob = Solution()
matrix = [ [2, 4, 30], [3, 4, 31], [6, 6, 32] ]
n = 4
print(ob.solve(matrix, n))

## Input

matrix = [
[2, 4, 30],
[3, 4, 31],
[6, 6, 32] ]
n = 4

## Output

6