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;

/**
 * @author kawakami
 *
 */
class Main {

	/**
	 * @param args
	 */
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner as = new Scanner(System.in);
		
		int n = as.nextInt();
        int m = as.nextInt();
        int l = as.nextInt();
        int i,j,k;
        int sum;
        
        int A[][];
        int B[][];
        int C[][];
        A = new int[n][m];   //??????
        B = new int[m][l];
        C = new int[l][n];
        String str;
        
        for(i=0;i<n;i++){          
            for(j=0;j<m;j++){
                 
                A[i][j] = as.nextInt();     //?????????????´?
                 
            }
        }
        
        for(i=0;i<m;i++){          
            for(j=0;j<l;j++){
                 
                B[i][j] = as.nextInt();     //?????????????´?
                 
            }
        }
        
        for(i=0;i<l;i++){          
            for(j=0;j<n;j++){
            	
            	sum = 0;
            	
            	for(k=0;k<m;k++){
            	
            		sum = sum + A[i][k]*B[k][j];    //?????????????´?
            		
            	}
            	
            	C[i][j] = sum;
            	
            }
        }
        
        for(i=0;i<l;i++){          
            for(j=0;j<n;j++){
                 
                if(j != n-1){
                	
                	str = String.valueOf(C[i][j]) + " ";
                    System.out.print(str);
                	
                }
                else{
                	
                	str = String.valueOf(C[i][j]);
                    System.out.print(str);
                    System.out.println(C[i][j]);
                	
                }
                 
            }
            
            System.out.println();
            
        }
        
	}

}