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: Time Limit Exceeded)

#include<bits/stdc++.h>
using namespace std;
int main(){
    int n,m,l;
    cin>>n>>m>>l;
    
    int a[100][100];
    for(int i=0;i<n;i++)
        for(int j=0;j<m;j++) cin>>a[i][j];
    
    int b[100][100];
    for(int i=0;i<m;i++)
        for(int j=0;j<l;l++) cin>>b[i][j];
    
    long long c[100][100] = {};
    for(int i=0;i<n;i++)
        for(int j=0;j<l;j++)
            for(int k=0;k<m;k++) c[i][j] += a[i][k] * b[k][j];
    
    for(int i=0;i<n;i++){
        for(int j=0;j<l;j++){
            if(j) cout<<" ";
            cout<<c[i][j];
        }
        cout<<endl;
    }
    return 0;
}