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.io.*;

public class Main {

	public static void main(String[] args) throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringBuilder sb = new StringBuilder();
		String[] strargs = new String[3];
		int[][] A = null;
		int[][] B = null;
		int[][] C = null;
		
		strargs = br.readLine().split("\\s+");
		
		int n = Integer.parseInt(strargs[0]);
		int m = Integer.parseInt(strargs[1]);
		int l = Integer.parseInt(strargs[2]);
		
		A = new int[n][m];
		B = new int[m][l];
		C = new int[n][l];
		
		for (int i = 0; i < n; i++) {
			strargs = br.readLine().split("\\s+");
			for (int j = 0; j < m; j++) A[i][j] = Integer.parseInt(strargs[j]);
		}
		
		for (int i = 0; i < m; i++) {
			strargs = br.readLine().split("\\s+");
			for (int j = 0; j < l; j++) B[i][j] = Integer.parseInt(strargs[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++) {
				sb.append(C[i][j]);
				if (j != (l - 1)) sb.append(" ");
			}
			if(i != (n - 1)) sb.append("\n");
		}
		
		System.out.println(sb);
	}
}