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.io.*;

class Main{
	public static void main(String args[]) throws IOException{
		BufferedReader buf = new BufferedReader(new InputStreamReader(System.in));
		String[] str = buf.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];
		long[][] C = new long[n][l];

		for(int i=0; i<n; i++){
			str = buf.readLine().split(" ");
			for(int j=0; j<m; j++){
				A[i][j] = Integer.parseInt(str[j]);
			}
		}
		for(int i=0; i<m; i++){
			str = buf.readLine().split(" ");
			for(int j=0; j<l; j++){
				B[i][j] = Integer.parseInt(str[j]);
			}
		}
		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];
			}
		}
		for(int i=0; i<n; i++){
			for(int j=0; j<l; j++){
				System.out.print(C[i][j]);
				if(j!=(l-1))
					System.out.print(" ");
			}
			System.out.println();
		}
	}
}