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.*;

class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] f=br.readLine().split(" ");
        int n=Integer.parseInt(f[0]);
        int m=Integer.parseInt(f[1]);
        int l=Integer.parseInt(f[2]);
        int[] A=new int[n*m];
        int[] B=new int[m*l];
        int h=0;
        for(int i=0;i<n;i++){
        	String[] s=br.readLine().split(" ");
        	for(int j=0;j<m;j++){
        		A[h]=Integer.parseInt(s[j]);
        		h++;
        	}
        }
        for(int j=0;j<m;j++){
        	int bc=j;
        	String[] t=br.readLine().split(" ");
        	for(int k=0;k<l;k++){
        		B[bc]=Integer.parseInt(t[k]);
        		bc+=m;
        	}
        }
    	int ac=0,bc=0,al=0,c=0;
    	long v=0;
    	StringBuilder sb=new StringBuilder();
        while(c<n){
        	v+=A[ac]*B[bc];
        	if(ac<(c*m+(m-1))){
        		ac++;
        	}else{
        		sb.append(v);
        		v=0;
        		if(al<l-1){
        			sb.append(" ");
        			ac-=m-1;
        			al++;
        		}else{
        			sb.append("\n");
        			ac++;
        			al=0;
        			c++;
        		}
        	}
        	if(bc<m*l-1){
        		bc++;
        	}else{
        		bc=0;
        	}
        }
        System.out.print(sb);
	}
}