Description

Matrix $A$ has dimensions $n\times m$, and matrix $B$ has dimensions $m\times p$. Your task is to compute the product $A\times B$.

Definition of matrix multiplication: The product of an $n\times m$ matrix and an $m\times p$ matrix results in an $n\times p$ matrix. Let $a_{ik}$ be an element of matrix $A$, and $b_{kj}$ be an element of matrix $B$. Then, the elements of the resulting matrix $C$ are given by:

$$c_{ij}=\sum_{k=1}^m a_{ik}b_{kj}$$

Refer to the sample for a concrete example.

Input Format

The first line contains two integers $n$ and $m$;

Next, $n$ lines follow, each containing $m$ integers, describing matrix $A$;

The following line contains an integer $p$;

Next, $m$ lines follow, each containing $p$ integers, describing matrix $B$.

Output Format

Output the matrix $C$, which is the product of matrix $A$ and matrix $B$.

Sample 1

$$\begin{bmatrix} 14=1\times 1+2\times 2+3\times 3&14=1\times 1+2\times 2+3\times 3\\ 10=3\times 1+2\times 2+1\times 3&10=3\times 1+2\times 2+1\times 3 \end{bmatrix} $$

2 3
1 2 3
3 2 1
2
1 1
2 2
3 3

14 14
10 10

Data Range and Hint

For all data, $1\le n,m,p \le 100$, and $-10000\le a_{ij},b_{ij}\le 10000$.