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;
 
public class ITP1_7_D
{
  static void Main()
  {
    string[] input = Console.ReadLine().Split(' ');
    int n = int.Parse(input[0]);
    int m = int.Parse(input[1]);
    int l = int.Parse(input[2]);
    long[,] A = new long[n, m];
    long[,] B = new long[m, l];
    long[,] C = new long[n, l];
 
    for (int i = 0; i < n; i++)
    {
      string[] data = Console.ReadLine().Split(' ');
      for (int j = 0; j < m; j++)
      {
        A[i, j] = int.Parse(data[j]);
      }
    }
 
    for (int i = 0; i < m; i++)
    {
      string[] data = Console.ReadLine().Split(' ');
      for (int j = 0; j < l; j++)
      {
        B[i, j] = int.Parse(data[j]);
      }
    }
    
    for (int i = 0; i < n; i++)
    {
      for (int j = 0; j < m; j++)
      {
        for (int k = 0; k < l; k++)
        {
          C[i, k] += A[i, j] * B[j, k];
        }
      }
    }
    
    for (int i = 0; i < n; i++)
    {
      for (int j = 0; j < l; j++)
      {
        if (j + 1 != l)
        {
          System.Console.Write(C[i, j] + " ");
        }
        else
        {
          System.Console.Write(C[i, j]);
        }
      }
      System.Console.Write("\n");
    }
  }
}