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: WA: Presentation Error)

import java.util.*;
 
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[][] a = new int[n][m];
		int[][] b = new int[m][l];
		int[][] c = new int[n][l];
		int sum = 0;
		//a???????????????
		for(int i=0; i<n; i++){
			for(int j=0; j<m; j++){
				a[i][j] = scan.nextInt();
			}
		}
		//b???????????????
		for(int i=0; i<m; i++){
			for(int j=0; j<l; j++){
				b[i][j] = scan.nextInt();
			}
		}
		//??????c?????????????´?
		for(int i=0; i<n; i++){
			for(int j=0; j<l; j++){
				sum = 0;
				for(int k=0; k<m; k++){
					sum += a[i][k] * b[k][j];
				}
				c[i][j] = sum;
			}
		}
		//???????????????
		for(int i=0; i<n; i++){
			for(int j=0; j<l; j++){
				System.out.print(c[i][j]);
				if(j < l){
				System.out.print(" ");
				}
			}
			System.out.println("");
		}
    }
}