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.util.Scanner;
class Main {
  public static void main(String args[]) {
Scanner sc=new Scanner(System.in);
int n=sc.nextInt();
int m=sc.nextInt();
int l=sc.nextInt();
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++) {
	for(int o=0;o<m;o++) {
		int s=sc.nextInt();
		a[i][o]=s;
	}
}
for(int p=0;p<m;p++) {
	for(int u=0;u<l;u++) {
		int d=sc.nextInt();
		b[p][u]=d;
	}
}
for(int q=0;q<n;q++) {
	for(int w=0;w<l;w++) {
		for(int e=0;e<m;e++) {
			c[q][w]+=a[q][e]*b[e][w];
		}
		if(w>0) {
			System.out.print(" ");
		}
		System.out.print(c[q][w]);
	}
	System.out.println();
}
sc.close();
  }
}