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(&:to_i)
  mtx_a,mtx_b = [],[]
  mtx_c = Array.new(n){ Array.new(l){0} }

  n.times do
    mtx_a << gets.split.map(&:to_i)
  end
  
  m.times do
    mtx_b << gets.split.map(&:to_i)
  end

  n.times do | i_idx |
    m.times do | j_idx |
      l.times do | k_idx |
        mtx_c[i_idx][k_idx] += mtx_a[i_idx][j_idx] * mtx_b[j_idx][k_idx]
      end
    end
  end

  mtx_c.each{|out| puts(out.join(" "))}