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 [][] detA = new int [n][m];
	    int [][] detB = new int [m][l];
	    int [][] detC = new int [n][l];

	    for(int i = 0 ; i < detA.length ; i++){
	    	for(int j = 0 ; j < detA[i].length ; j++){
	    		detA[i][j] = scan.nextInt();
	    	}
	    }

	    for(int i = 0 ; i < detB.length ; i++){
	    	for(int j = 0 ; j < detB[i].length ; j++){
	    		detB[i][j] = scan.nextInt();
	    	}
	    }

	    for(int i = 0 ; i < n ; i++){
	    	for(int j = 0 ; j < l ; j++){
	    		for(int k = 0 ; k < m ; k++){
	    			detC[i][j] += detA[i][k]*detB[k][j];
	    		}
	    	}
	    }

	    for(int i = 0 ; i < detC.length ; i++){
	    	for(int j = 0 ; j < detC[i].length ; j++){
	    		System.out.print(detC[i][j]);
                  if(j == detC[i].length -1) continue;
	    		System.out.print(" ");
	    	}
	    	System.out.println();
	    }

	    scan.close();
 	}
}