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.io.*;
 
class Main {
    public static void main(String[] args) {
        BufferedReader kb = new BufferedReader( new InputStreamReader( System.in ) );
        try {
 
            String[] str = kb.readLine().split( " " );
            int n = Integer.parseInt( str[0] );
            int m = Integer.parseInt( str[1] );
            int l = Integer.parseInt( str[2] );
                         
            int[][] matrixA = new int[n][m];
            int[][] matrixB = new int[m][l];
            for( int i=0; i<n; i++ ) {
                str = kb.readLine().split( " " );
                for( int j=0; j<m; j++ ) {
                    matrixA[i][j] = Integer.parseInt( str[j] );
                }
            }
            for( int i=0; i<m; i++ ) {
                str = kb.readLine().split( " " );
                for( int j=0; j<l; j++ ) {
                    matrixB[i][j] = Integer.parseInt( str[j] );
                }
            }
            StringBuilder output = new	StringBuilder( 400+1 );	
 			int c;
            for( int i=0; i<n; i++ ) {
                for( int j=0; j<l; j++ ) {
                	c = 0;
	                for( int k=0; k<m; k++ ) {
                        c += ( matrixA[i][k] * matrixB[k][j] );
                    }
                    output.append( c );
                    output.append( " " );
                }
                output.deleteCharAt( output.lastIndexOf( " " ) );
                output.append( "\n" );
            }
             
            System.out.print( output );
             
        } catch( IOException e ) {
            System.err.println( e );
        }
    }
}