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 C# (judge verdict: Accepted)

using System;
//using System.Collections;
//using System.Collections.Generic;
using System.Linq;

namespace solution
{
  class Class1
  {
    static void Main()
    {
      var i = Console.ReadLine().Split().Select(int.Parse).ToArray();
      int n = i[0];
      int m = i[1];
      int l = i[2];
      int[][] A = new int[n][];
      int[][] B = new int[m][];
      long sum = 0;

      for (int x = 0; x < n; x++)
      {
        A[x] = Console.ReadLine().Split().Select(int.Parse).ToArray();
      }
      for (int x = 0; x < m; x++)
      {
        B[x] = Console.ReadLine().Split().Select(int.Parse).ToArray();
      }


      for (int w = 0; w < n; w++)
      {
        for (int x = 0; x < l; x++)
        {
          for (int y = 0; y < m; y++)
          {
            sum += A[w][y] * B[y][x];
          }
          Console.Write(sum);
          if (x != l - 1) Console.Write(" ");
          else Console.Write("\n");
          sum = 0;
        }
      }
    }
  }
}