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: Wrong Answer)

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		// TODO ?????????????????????????????????????????????
		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];
		
		for(int i = 0; i < n; i++){
			for(int j = 0; j < m; j++){
				a[i][j] = scan.nextInt();
			}
		}
		
		for(int h = 0; h < m; h++){
			for(int k = 0; k < l; k++){
				b[h][k] = scan.nextInt();
			}
		}
		
		for(int p = 0; p < n; p++){
			for(int q = 0; q < l; q++){
				int s = 0;
				for(int r = 0; r < m; r++){
					s = s + a[p][r] * b[r][q];
					c[p][q] = s;
				}
			}
		}
		
		for(int s = 0; s < n; s++){
			for(int t = 0; t < l; t++){
				System.out.print(c[s][t]);
				if(t != l - 1){
					System.out.print(" ");
				}
			}
			System.out.println();
		}
	}
}