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.IOException;
import java.io.InputStreamReader;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringBuilder sb = new StringBuilder();

		String[] line = br.readLine().split(" ");
		int n = Integer.parseInt(line[0]);
		int m = Integer.parseInt(line[1]);
		int l = Integer.parseInt(line[2]);
		int[][] A = new int[n][m];
		int[][] B = new int[m][l];
		long c = 0;

		for(int i = 0; i < n; i++) {
			String row = br.readLine();
			String[] elem = row.split(" ");
			for(int j = 0; j < m; j++) {
				A[i][j] = Integer.parseInt(elem[j]);
			}
		}

		for(int i = 0; i < m; i++) {
			String row = br.readLine();
			String[] elem = row.split(" ");
			for(int j = 0; j < l; j++) {
				B[i][j] = Integer.parseInt(elem[j]);
			}
		}

		for(int i = 0; i < n; i++) {
			for(int j = 0; j < l; j++) {
				c = 0;
				for(int k = 0; k < m; k++) {
					c += A[i][k] * B[k][j];
				}
				sb.append(c);
				if(j != l-1) {
					sb.append(" ");
				}
			}
			sb.append("\n");
		}
		System.out.print(sb);
	}
}