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: Accepted)


import java.util.Scanner;

public class Main {

	    public static void main(String[] args){
	        Scanner scan = new Scanner(System.in);
	        int numN = scan.nextInt();
	        int numM = scan.nextInt();
	        int numL = scan.nextInt();
	        long[][] arrA = new long[numN][numM];
	        long[][] arrB = new long[numM][numL];
	        long[][] arrTot = new long[numN][numL];

	        for(int i=0; i<numN; i++){
	            for(int j=0; j<numM; j++){
	                arrA[i][j] = scan.nextInt();
	            }
	        }

	        for(int i=0; i<numM; i++){
	            for(int j=0; j<numL; j++){
	                arrB[i][j] = scan.nextInt();
	            }
	        }

	        for(int i = 0; i<numN; i++){
	            for(int j=0; j<numL; j++){
	                for(int k = 0; k<numM; k++){
	                	arrTot[i][j] += arrA[i][k]*arrB[k][j];
	                }
	            }
	        }

	        for(int i = 0; i<numN; i++){
	            System.out.print(arrTot[i][0]);
	            for(int j=1;j<numL;j++){
	                System.out.print(" "+arrTot[i][j]);
	        }
	        System.out.println();
	        }

	    }
	}