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)

import Data.List
main = do
  s <- getLine 
  let [n,m,l] = map read . words $ s ::[Int]
  ss <- getContents
  let vv = map (map (read::String->Int) . words) . lines $ ss
  let a = take n vv
  let b = drop n vv
  mapM_  putStrLn $ map (unwords . map show) $  mmul a b

mmul :: [[Int]] -> [[Int]] -> [[Int]]
mmul a b = transpose (map (\y-> map (\x -> ip x y) a) b')
  where b' = transpose b
        ip::[Int] -> [Int] -> Int  
        ip a b = sum $ (zipWith (*) a b)