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: Wrong Answer)

import java.util.Scanner;

class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);

        int n = scan.nextInt();
        int m = scan.nextInt();
        int l = scan.nextInt();
        int [][]A;
        A = new int[n][m];
        int [][]B;
        B = new int[m][l];
        int [][]C;
        C = new int[n][l];
        int i,j,k;

        for(i = 0; i < n; i++){
            for(j = 0; j < m; j++){
            A[i][j] = scan.nextInt();
            }
        }
        for(j = 0; j < m; j++){
            for(k = 0; k < l; k++){
            B[j][k] = scan.nextInt();
            }
        }
        for(k = 0; k < l; k++){
            for(j = 0; j < m; j++){
                for(i = 0; i < n; i++){
                C[i][k] += A[i][j]*B[j][k];
                }
            }
        }
        for(i = 0; i< n; i++){
        	for(k = 0; k< l; k++){
        		if(k != l-1){
        			System.out.print(C[i][k]+" ");
        		}
        		else{
        			System.out.println(C[i][k]);
        		}
        	}
        }      
    }
}