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 OCaml (judge verdict: Accepted)

let r()=List.map int_of_string(Str.split(Str.regexp" ")(read_line()))open Array;;match r()with[n;m;l]->(let($)s t=let a=make_matrix s t 0in for i=0to s-1do let x=of_list(r())in for j=0to t-1do a.(i).(j)<-x.(j)done done;a in let a=n$m and b=m$l in for i=0to n-1do for j=0to l-1do let c=ref 0in for k=0to m-1do c:=!c+a.(i).(k)*b.(k).(j)done;Printf.printf(if j=0then"%d"else" %d")!c done;print_newline()done)|_->()