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 C# (judge verdict: Accepted)

using System;

public class Program
{
  public static void Main(string[] args)
  {
    string[] nml = Console.ReadLine().Split(' ');
    int n = int.Parse(nml[0]);
    int m = int.Parse(nml[1]);
    int l = int.Parse(nml[2]);
    int[,] A = new int[n,m];
    int[,] B = new int[m,l];
    long[,] C = new long[n,l];
    for(int i = 0;i < n;i++)
    {
      string[] readA = Console.ReadLine().Split(' ');
      for(int j = 0;j < m;j++)
      {
        A[i,j] = int.Parse(readA[j]);
      }
    }
    for(int i = 0;i < m;i++)
    {
      string[] readB = Console.ReadLine().Split(' ');
      for(int j = 0;j < l;j++)
      {
        B[i,j] = int.Parse(readB[j]);
      }
    }
    for(int i = 0;i < n;i++)
    {
      for(int j = 0;j < l;j++)
      {
        for(int k = 0;k < m;k++)
        {
          C[i,j] += A[i,k] * B[k,j];
        }
      }
    }
    for(int i = 0;i < n;i++)
    {
      for(int j = 0;j < l;j++)
      {
        Console.Write(C[i,j]);
        if(j != l - 1) Console.Write(" ");
      }
      Console.WriteLine();
    }
  }
}