Problem:
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Matrix Multiplication

Write a program which reads a $n \times m$ matrix $A$ and a $m \times l$ matrix $B$, and prints their product, a $n \times l$ matrix $C$. An element of matrix $C$ is obtained by the following formula:

\[
c_{ij} = \sum_{k=1}^m a_{ik}b_{kj}
\]

where $a_{ij}$, $b_{ij}$ and $c_{ij}$ are elements of $A$, $B$ and $C$ respectively.

Input

In the first line, three integers $n$, $m$ and $l$ are given separated by space characters

In the following lines, the $n \times m$ matrix $A$ and the $m \times l$ matrix $B$ are given.

Output

Print elements of the $n \times l$ matrix $C$ ($c_{ij}$). Print a single space character between adjacent elements.

Constraints

$1 \leq n, m, l \leq 100$

$0 \leq a_{ij}, b_{ij} \leq 10000$

Sample Input

3 2 3
1 2
0 3
4 5
1 2 1
0 3 2

Sample Output

1 8 5
0 9 6
4 23 14

Note

      解説

Solution in C# (judge verdict: Accepted)

using System;
using System.Text;

public class Test
{
	static public void Main( )
	{
		StringBuilder output = new StringBuilder();
		int[] nml = Array.ConvertAll( Console.ReadLine().Split( ' ' ), int.Parse );
		int n = nml[0];
		int m = nml[1];
		int l = nml[2];
		
		Int64[,] C = new Int64[ n, l ];
		Int64[,] A = new Int64[ n, m ];
		Int64[,] B = new Int64[ m, l ];
		for( var i=0; i<n; i++ ) {
			Int64[] row = Array.ConvertAll( Console.ReadLine().Split( ' ' ), Int64.Parse );
			for( int j=0; j<m; j++ ) {
				A[ i, j ] = row[j];
			}
		}
		for( var i=0; i<m; i++ ) {
			Int64[] row = Array.ConvertAll( Console.ReadLine().Split( ' ' ), Int64.Parse );
			for( int j=0; j<l; j++ ) {
				B[ i, j ] = row[j];
			}
		}		
		for( var i=0; i<n; i++ ) {
			for( int j=0; j<l; j++ ) {
				for( int k=0; k<m; k++ ) {
					C[ i, j ] += A[ i, k ]*B[ k, j ];
				}
				output.Append( C[i,j].ToString() );
				output.Append( ( l-1 != j)?" ":"\n");
			}
		}
		
		Console.Write( output );
	}
}