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.io.BufferedReader;
import java.io.InputStreamReader;

public class Main {
	public static void main(String[] args){
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String str[];
		try {
			str = br.readLine().split(" ");
			int n = Integer.parseInt(str[0]);
			int m = Integer.parseInt(str[1]);
			int l = Integer.parseInt(str[2]);
			int a[][] = new int[n][m];
			int b[][] = new int[m][l];
			long c[][] = new long[n][l];
			for(int i=0;i<n;i++){
				str = br.readLine().split(" ");
				for(int j=0;j<m;j++){
					a[i][j]=Integer.parseInt(str[j]);
				}
			}
			for(int i=0;i<m;i++){
				str = br.readLine().split(" ");
				for(int j=0;j<l;j++){
					b[i][j]=Integer.parseInt(str[j]);
				}
			}

			for(int i=0;i<n;i++){
				for(int j=0;j<l;j++){
					for(int k=0;k<m;k++){
						c[i][j]+=a[i][k]*b[k][j];
					}
				}
			}
			for(int i=0;i<n;i++){
				for(int j=0;j<l;j++){
					if(j != 0){
						System.out.print(" ");
					}
					System.out.print(c[i][j]);
				}
				System.out.println();
			}
		} catch (Exception e) {
			System.err.println(e);
		}
	}
}