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

### Prompt

Your task is to create a cpp solution to 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 <iostream>
#define rep(i, n) for (int i = 0; i < n; i++)
using namespace std;
int main() {
  long long n, m, l, a[100][100], b[100][100], c[100][100] = {};
  cin >> n >> m >> l;
  rep(i, n) rep(j, m) {
    cin >> a[i][j];
  }
  rep(j, m) rep(k, l) {
    cin >> b[j][k];
  }
  rep(i, n) rep(j, m) rep(k, l) {
    c[i][k] += a[i][j] * b[j][k];
  }
  rep(i, n) {
    rep(k, l) {
      cout << (k == 0 ? "": " ") << c[i][k];
    }
    cout << endl;
  }
  return 0;
}

```