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++11 (judge verdict: Accepted)

#include <iostream>
#include <algorithm>
#include <vector>
#include <stack>
#include <queue>
#include <cmath>
#include <string>
using namespace std;

#define ll long long
#define vvi vector< vector<int> >
#define All(X) X.begin(),X.end()

int main(){
	int n,m,l;
	int data[110][110];
	int data2[110][110];
	cin >> n >> m >> l;
	for(int i=0;i<n;i++){
		for(int j=0;j<m;j++){
			cin >> data[i][j];
		}
	}
	for(int i=0;i<m;i++){
		for(int j=0;j<l;j++){
			cin >> data2[i][j];
		}
	}

	for(int i=0;i<n;i++){
		for(int j=0;j<l;j++){
			ll int tmp = 0;
			for(int k=0;k<m;k++){
				tmp += data[i][k]*data2[k][j];
			}
			cout << tmp;
			if(j!=l-1) cout << " ";
		}
		cout << endl;

	}
	return 0;
}