Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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: Accepted)

import java.util.Scanner;
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();
		long[][] array_A = new long[n][m];
		long[][] array_B = new long[m][l];
		long[][] array_C = new long[n][l];

		for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				array_A[i][j] = scan.nextInt(); 
			}
		}

		for(int i=0; i<m; i++){
			for(int j=0; j<l; j++){
				array_B[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++){
					array_C[i][j] += array_A[i][k]*array_B[k][j];
				}
			}
		}

		for(int i = 0; i<n; i++){
            System.out.print(array_C[i][0]);
            for(int j=1;j<l;j++){
                System.out.print(" "+array_C[i][j]);  
        }
        System.out.println();
    	}

	}
}