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.chomp.split(" ").map &:to_i

matA = Array.new
n.times { matA << (gets.chomp.split(" ").map &:to_i) }

matB = Array.new
m.times { matB << (gets.chomp.split(" ").map &:to_i) }

matC = Array.new
n.times { |r|
    l.times { |c|
        f = 0
        m.times { |i| f += matA[r][i]*matB[i][c] }
        matC << f
    }
}

matC.length.times { |i|
    puts if i%l == 0 and i != 0
    print " " if i%l != 0
    print matC[i]
}
puts