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.*;
 
public 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[][] vecA = new int[n][m];
		int[][] vecB = new int[m][l];
		
		// input
		for( int i = 0; i < n; i++ ) {
			for( int j = 0; j < m; j++ ) {
				vecA[i][j] = scan.nextInt();
				
			}
		}
		
		for( int i = 0; i < m; i++ ) {
			for( int j = 0; j < l; j++ ) {
				vecB[i][j] = scan.nextInt();
				
			}
		}
		
		int[][] vecC = new int[n][l];
		for( int i = 0; i < n; i++ ) {
			for( int k = 0; k < l; k++ ) {
				int sum = 0;
				
				for( int j = 0; j < m; j++ ) {
					sum += vecA[i][j] * vecB[j][k];
					
				}
				
				System.out.print((k == 0 ? "" : " ") + sum);
				
			}
			System.out.println();
		}
		
	}
}