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: Wrong Answer)

import java.io.*;

class Main{
	public static void main(String[] args)throws IOException{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int in[] = parseInts(br.readLine().split(" "));
		int in1[][] = new int[in[0]][in[1]];
		int in2[][] = new int[in[1]][in[2]];
		int in3[][] = new int[in[0]][in[2]];
		for(int i=0; i<in[0]; i++){
			in1[i] = parseInts(br.readLine().split(" "));
		}
		for(int i=0; i<in[1]; i++){
			in2[i] = parseInts(br.readLine().split(" "));
		}
		for(int n=0; n<in[0]; n++){
			for(int l=0; l<in[2]; l++){
				for(int m=0; m<in[1]; m++){
					in3[n][l] += in1[n][m] * in2[m][l];
				}
			}
		}
		println(in3);
	}

	static int[] parseInts(String[] s){
		int[] x = new int[s.length];
		for(int i=0; i<s.length; i++){
			x[i] = Integer.parseInt(s[i]);
		}
		return x;
	}

	static int sum(int[] x){
		int t = 0;
		for(int a : x){
			t += a;
		}
		return t;
	}

	static void println(int[][] x){
		for(int n=0; n<x.length; n++){
			for(int m=0; m<x[0].length; m++){
				if(m == x[0].length-1){
					System.out.println(x[n][m]);
				}else{
					System.out.print(x[n][m] + " ");
				}
			}
		}
	}
}