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, m, l;

        n = scanner.nextInt();
        m = scanner.nextInt();
        l = scanner.nextInt();

        int[][] a = new int[n][m];
        int[][] b = new int[m][l];
        long[][] c = new long[n][l];

        //create A matrix
        for(int arow = 0; arow < n; arow++){
            for(int acol = 0; acol < m; acol++){
                a[arow][acol] = scanner.nextInt();
            }
        }

        //create B matrix
        for(int brow = 0; brow < m; brow++){
            for(int bcol = 0; bcol < l; bcol++){
                b[brow][bcol] = scanner.nextInt();
            }
        }

        for(int ccol = 0; ccol < l; ccol++){
            for(int arow = 0; arow < n; arow++){

                for(int acol = 0; acol < m; acol++){
                    c[arow][ccol] += a[arow][acol] * b[acol][ccol];
                }
            }
        }


        for(int row = 0; row < n; row++){
            for(int col = 0; col < l-1; col++){
                System.out.print(c[row][col] + " ");
            }
            System.out.println(c[row][l-1]);
        }

        scanner.close();
    }
}