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: Runtime Error)

line = STDIN.gets.split(" ")
size = Array.new(3) { |i| i = line[i].to_i}
matrixA = []
matrixB = []
matrixC = []

# matrixA
for i in 0..size[0] - 1 do
  line = STDIN.gets.split(" ")
  for j in 0..size[1] - 1 do
    # puts "i = #{i}, j = #{j}"
    line[j] = line[j].to_i
  end
  matrixA << line
  # print matrix
end
# print matrixA, "\n"

# matrixB
for i in 0..size[1] - 1 do
  line = STDIN.gets.split(" ")
  for j in 0..size[2] - 1 do
    # puts "i = #{i}, j = #{j}"
    line[j] = line[j].to_i
  end
  matrixB << line
  # print matrix
end
# print matrixB, "\n"

# calc
for i in 0..size[2] - 1 do
  line = []
  for j in 0..size[0] - 1 do
    sum = 0
    for k in 0..size[1] - 1 do
      # puts "i = #{i}, j = #{j}, k = #{k}"
      sum += matrixA[i][k] * matrixB[k][j]
    end
    # puts "sum = #{sum}"
    line << sum
  end
  puts line.join(" ")
end