Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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 Ruby (judge verdict: Accepted)

n,m,l=gets.chomp.split(" ").map(&:to_i)

####n*mの行列の取得
require "matrix"
$mat=Array.new(n)
for i in 0..n-1 do
 $mat[i]=gets.chomp.split(" ").map(&:to_i)
end
a=Matrix[*$mat]

####m*lの行列の取得
$matb=Array.new(m)
for i in 0..m-1 do
 $matb[i]=gets.chomp.split(" ").map(&:to_i)
end
b=Matrix[*$matb]
c=(a*b).to_a

#2重リストの半角区切り出力
for i in 0..n-1 do
print"#{c[i].join(' ')}\n"
end