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 sc = new Scanner(System.in);
        
		int n = sc.nextInt();
        int m = sc.nextInt();
        int l = sc.nextInt();
        int i, j, k;
        int[][] A = new int[n][m];
        int[][] B = new int[m][l];
        long [][] C = new long[n][l];
        for(i=0; i<n;i++){
			for(j=0; j<m; j++){
                A[i][j] = sc.nextInt();
            }
        }
         for(i=0; i<m;i++){
			for(j=0; j<l; j++){
                B[i][j] = sc.nextInt();
            }
        }
        for(i=0; i<n;i++){
			for(j=0; j<l; j++){
				for(k=0; k<m; k++){
                    C[i][j] += A[i][k]*B[k][j];
                }
                if(j==l-1) System.out.print(C[i][j]);
                else System.out.print(C[i][j] + " ");
            }
            System.out.println();
        }
    }
}