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 n = scan.nextInt();
		int m = scan.nextInt();
		int l = scan.nextInt();
		long Matrix_A[][] = new long[n][m];
		long Matrix_B[][] = new long[m][l];
		long Matrix_C[][] = new long[n][l];
		
		for(int i = 0; i < n; i++) {
			for(int j = 0; j < l; j++) {
				Matrix_C[i][j] = 0;
			}
		}
		
		for(int i = 0; i < n; i++) {
			for(int j = 0; j < m; j++) {
				Matrix_A[i][j] = scan.nextLong();
			}
		}
		
		for(int i = 0; i < m; i++) {
			for(int j = 0; j < l; j++) {
				Matrix_B[i][j] = scan.nextLong();
			}
		}
		
		for(int i = 0; i < n; i++) {
			for(int j = 0; j < m; j++) {
				for(int k = 0; k < l; k++) {
					Matrix_C[i][k] += Matrix_A[i][j] * Matrix_B[j][k]; 
				}
			}
		}
		
		for(int i = 0; i < n; i++) {
			for(int j = 0; j < l; j++) {
				if( j == l - 1) {
					System.out.println(Matrix_C[i][j]);
				}else {
					System.out.print(Matrix_C[i][j] + " ");
				}
			}
		}
		
		
	}
}