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 C (judge verdict: Wrong Answer)

#include<stdio.h>
int main(void){
	setvbuf(stdout,NULL,_IONBF,0);

	int n,m,l,i,j,k;
	scanf("%d %d %d",&n,&m,&l);
	long int num1[n][m];
	long int num2[m][l];
	long int num3[n][l];

	for(i = 0;i < n;i++){
		for(j = 0;j < m;j++){
			num1[i][j] = 0;
		}
	}
	for(i = 0;i < m;i++){
		for(j = 0;j < l;j++){
			num2[i][j] = 0;
		}
	}
	for(i = 0;i < n;i++){
		for(j = 0;j < l;j++){
			num3[i][j] = 0;
		}
	}
	for(i = 0;i < n;i++){
		for(j = 0;j < m;j++){
			scanf("%d",&num1[i][j]);
		}
	}
	for(i = 0;i < m;i++){
		for(j = 0;j < l;j++){
			scanf("%d",&num2[i][j]);
		}
	}
	for(i = 0;i < n;i++){
		for(j = 0;j < l;j++){
			for(k = 0;k < m;k++){
				num3[i][j] += num1[i][k] * num2[k][j];
			}
		}
	}
	for(i = 0;i < n;i++){
		for(j = 0;j < l - 1;j++){
			printf("%d ",num3[i][j]);
		}
		printf("%d\n",num3[i][j]);
	}

	return 0;
}