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: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {

	public static void main(String[] args)throws IOException
	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] str = new String[3];
		str = br.readLine().split(" ");
		int n = Integer.parseInt(str[0]);
		int m = Integer.parseInt(str[1]);
		int l = Integer.parseInt(str[2]);
		int[][] A = new int[n][m];
		int[][] B = new int[m][l];
		int[][] C = new int[n][l];
//		C????????????
		for(int i=0;i<n;i++)
		{
			for(int j=0;j<l;j++)
			{
				C[i][j] = 0;
			}
		}
//		A????????????????´?
		String[] str_m = new String[m];
		for(int i=0; i<n; i++)
		{
			str_m = br.readLine().split(" ");
			for(int j=0; j<m; j++)
			{
				A[i][j] = Integer.parseInt(str_m[j]);
			}
		}
//		?¬????B
		String[] str_l = new String[l];
		for(int i=0; i<m; i++)
		{
			str_l = br.readLine().split(" ");
			for(int j=0; j<l; j++)
			{
				B[i][j] = Integer.parseInt(str_l[j]);
			}
		}
//		C???A*B???????´?????????????
		for(int 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];
				}
				System.out.print(C[i][j]);
				if(j!=l-1)	System.out.print(" ");
				else 	System.out.println();
			}
		}
	}
}