#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define CINA(a,n); REP(i,(n)){ cin >> (a)[i]; }
#define CINA2(a,n,m); REP(i,(n)){ REP(j,(m)){cin >> (a)[i][j];} }

int main(){
  ll n,m,l; cin>>n>>m>>l;
  ll a[n][m]; CINA2(a,n,m);
  ll b[m][l]; CINA2(b,m,l);
  REP(i,n){
    REP(j,l){
      ll c=0;
      REP(k,m){
        c += a[i][k]*b[k][j];
      }
      if(j<l-1){ printf("%Ld ",c);}
      else{ printf("%Ld\n",c);}
    }
  }
}

### Prompt

In cpp, your task is to solve the following problem:

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.

Note

解説

Constraints

* $1 \leq n, m, l \leq 100$
* $0 \leq a_{ij}, b_{ij} \leq 10000$

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.

Example

Input

3 2 3
1 2
0 3
4 5
1 2 1
0 3 2


Output

1 8 5
0 9 6
4 23 14

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define CINA(a,n); REP(i,(n)){ cin >> (a)[i]; }
#define CINA2(a,n,m); REP(i,(n)){ REP(j,(m)){cin >> (a)[i][j];} }

int main(){
  ll n,m,l; cin>>n>>m>>l;
  ll a[n][m]; CINA2(a,n,m);
  ll b[m][l]; CINA2(b,m,l);
  REP(i,n){
    REP(j,l){
      ll c=0;
      REP(k,m){
        c += a[i][k]*b[k][j];
      }
      if(j<l-1){ printf("%Ld ",c);}
      else{ printf("%Ld\n",c);}
    }
  }
}

```