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;

class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        
        int n = scanner.nextInt();
        int m = scanner.nextInt();
        int l = scanner.nextInt();
        
        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++){
            for(int j=0;j<m;j++){
                A[i][j] = scanner.nextInt();
            }
        }
        
        for(int j=0;j<m;j++){
            for(int k=0;k<l;k++){
                B[j][k] = scanner.nextInt();
            }
        }
        
        for(int i=0; i<n; i++){
            for(int j=0; j<l; j++){
                for(int k=0; k<m; k++){
                    C[i][j] = C[i][j]  + (A[i][k] * B[k][j]);
                }
            }
        }
        
        for(int i=0;i<n;i++){
            for (int j=0;j<l;j++) {
                if(j != l-1){
                    System.out.print(String.valueOf(C[i][j]) + " ");
                } else {
                    System.out.println(C[i][j]);
                }
            }
        }
    }
}