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: Runtime Error)

n, m, l = gets.split(" ").map(&:to_i)
a = Array.new(n).map { Array.new(m) }
b = Array.new(m).map { Array.new(l) }
c = Array.new(n, 0).map { Array.new(l, 0) }

for i in 0..(n - 1)
  a[i] = gets.split(" ").map(&:to_i)
end

for i in 0..(m - 1)
  b[i] = gets.split(" ").map(&:to_i)
end

for i in 0..(n - 1)
  for j in 0..(l - 1)
    for k in 0..(m - 1)
      c[j][i] += a[j][k] * b[k][i]
    end
  end
end

for i in 0..(n - 1)
  puts c[i].to_s.gsub(/[\[\,\]]/, "")
end