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 scan = new Scanner(System.in);
        String str;
        int i,j,k,a,b,c;
        long x[][];
        long y[][];
        long z[][];
        str = scan.nextLine();
        String[] num = str.split(" ", 0);
        a = Integer.valueOf(num[0]);
        b = Integer.valueOf(num[1]);
        c = Integer.valueOf(num[2]);
        x = new long[a][b];
        y = new long[b][c];
        z = new long[a][c];
       for(i=0;i<a;i++){
           str = scan.nextLine();
           num = str.split(" ", 0);
           for(j=0;j<b;j++){
               x[i][j] = Integer.valueOf(num[j]);
           }
       }
        for(i=0;i<b;i++){
            str = scan.nextLine();
            num = str.split(" ", 0);
            for(j=0;j<c;j++){
                y[i][j] = Integer.valueOf(num[j]);
            }
        }
        for(i=0;i<a;i++){
            for(j=0;j<c;j++){
                for(k =0;k<b;k++){
                    z[i][j] += x[i][k] * y[k][j];   
                }
            }
        }
        for(i=0;i<a;i++){
            for(j=0;j<c-1;j++){
                System.out.print(z[i][j]+" ");
            }
            System.out.println(z[i][j]);
        }


        scan.close();
    }

}