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 Ruby (judge verdict: Accepted)

n, m, l = gets.split( " " ).map { | val | val.to_i }

matrixA = []
matrixB = []
matrixC = Array.new( n ) {
	Array.new( l, 0 )
}

n.times {
	matrixA.push( gets.split( " " ).map { | val | val.to_i } )
}
m.times {
	matrixB.push( gets.split( " " ).map { | val | val.to_i } )
}

output = []
for i in ( 0 ... n )
	for j in ( 0 ... l )
		for k in ( 0 ... m )
			matrixC[i][j] += ( matrixA[i][k] * matrixB[k][j] )
		end
		output.push( matrixC[i][j] )
		output.push( " " )
	end
	output.pop
	output.push( "\n" )	
end

print( output.join  )