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)

#!/usr/bin/env ruby

temp = [];matrixA = [];matrixB = []
lineresult = []

temp = gets.split.map(&:to_i)
Array_A_WIDTH = temp[0]
Arrays_HEIGHT = temp[1]
Array_B_WIDTH = temp[2]

Array_A_WIDTH.times do
    matrixA << gets.split.map(&:to_i)
end
Arrays_HEIGHT.times do
    matrixB << gets.split.map(&:to_i)
end

Array_A_WIDTH.times do |loopA|
    Array_B_WIDTH.times do |loopC|
        foo = 0
        Arrays_HEIGHT.times do |loopB|
            foo += matrixA[loopA][loopB] * matrixB[loopB][loopC]
        end
        lineresult << foo
    end
    puts lineresult.join(' ')
    lineresult.clear
end