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: Accepted)

#include <iostream>
#define R(i,n) for(i=0;i<n;i++)
using namespace std;
int main()
{
long long int a[100][100],b[100][100],c[100][100]={0};
int n,m,l,i,j,k;
cin>>n>>m>>l;
R(i,n)R(j,m)cin>>a[i][j];
R(i,m)R(j,l)cin>>b[i][j];
R(i,n)R(j,l)R(k,m)c[i][j]+=a[i][k]*b[k][j];
R(i,n){R(j,l){
if (j)cout<<' ';
cout<<c[i][j]; 
}
cout<<endl;
}
}