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 JAVA (judge verdict: Accepted)

import java.util.Scanner;


public class Main {
	public static void main(String[] args)
	{
		Scanner scanner = new Scanner(System.in);
		
		int n = scanner.nextInt();
		int m = scanner.nextInt();
		int l = scanner.nextInt();
		
		int[][] a = new int[n][m];
		int[][] b = new int[m][l];
		long[][] c = new long[n][l];
		
		for(int i=0; i<n; i++)
		{
			for(int j=0; j<m; j++)
			{
				a[i][j] = scanner.nextInt();
			}
			
			for(int j=0; j<l; j++)
			{
				c[i][j] = 0;
			}
		}
		
		for(int i=0; i<m; i++)
		{
			for(int j=0; j<l; j++)
			{
				b[i][j] = scanner.nextInt();
			}
		}
		
		for(int i=0; i<n; i++)
		{
			for(int j=0; j<l; j++)
			{
				for(int k=0; k<m; k++)
				{
					//c[j][i] += a[j][k]*b[k][i];
					c[i][j] += a[i][k]*b[k][j];
				}
			}
		}
		
		for(int i=0; i<n; i++)
		{			
			for(int j=0; j<l; j++)
			{
				System.out.print(c[i][j]+(j==l-1?"\n":" "));
			}
		}	
	}
}