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 Scala (judge verdict: Wrong Answer)

object Main extends App {
  val scanner = new java.util.Scanner(System.in)

  val n = scanner.nextInt()
  val m = scanner.nextInt()
  val l = scanner.nextInt()

  val A = Array.fill(n, m)(0)
    .map { _.map(_ => scanner.nextInt()) }

  val B = Array.fill(m, l)(0)
    .map { _.map(_ => scanner.nextInt()) }

  val C =
    (0 until n).map { i =>
      (0 until l).map { j =>
        (0 until m).foldLeft(0) { (c, k) =>
          c + A(i)(k) * B(k)(j)
        }
      }
    }

  val outputs = C.map(_.mkString(" "))

  outputs.foreach(println)
}