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 Haskell (judge verdict: Accepted)

type Vector = [Int]
type Matrix = [Vector]
trans :: Matrix->Matrix->Matrix
trans x y
 |head y==[] = x
 |otherwise = trans x2 y2
 where
 x2 = x ++ [(map head y)]
 y2 = map tail y

trans2 :: Matrix->Matrix
trans2 = trans []

vproduct :: Vector->Vector->Int
vproduct a b = sum $ zipWith (*) a b

toVector :: String -> Vector
toVector = map (read :: String->Int).words

dim :: String->Int
dim=head.toVector.head.lines

takeContent :: String->(Matrix,Matrix)
takeContent xs = splitAt (dim xs).map toVector.tail.lines $ xs

myPartition :: Int->[[a]]->[a]->[[a]]
myPartition n x [] = x
myPartition n x y = myPartition n (x++[take n y]) (drop n y) 

myPartition2 :: Int->[a]->[[a]]
myPartition2 n = myPartition n []

calc :: (Matrix,Matrix)->Matrix
calc (mat1,mat2) = myPartition2 (length $ trans2 mat2) [vproduct x y|x<-mat1,y<-trans2 mat2]

myPrint :: Matrix->IO ()
myPrint = mapM_ $ putStrLn.unwords.(map show)

main = getContents >>= myPrint.calc.takeContent