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: Wrong Answer)

using System;

class program
{
    public static void Main()
    {
        var strs = Console.ReadLine().Split(' ');
        var n = int.Parse(strs[0]);
        var m = int.Parse(strs[1]);
        var l = int.Parse(strs[2]);

        int[,] a = new int[n, m];
        int[,] b = new int[m, l];
        // int[,] c = new int[n, l];

        for (int i = 0; i < n; i++)
        {
            strs = Console.ReadLine().Split(' ');
            for (int j = 0; j < m; j++)
            {
                a[i, j] = int.Parse(strs[j]);
            }
        }

        for (int i = 0; i < m; i++)
        {
            strs = Console.ReadLine().Split(' ');
            for (int j = 0; j < l; j++)
            {
                b[i, j] = int.Parse(strs[j]);
            }
        }

        for (int i = 0; i < n; i++)
        {
            for (int j = 0; j < l; j++)
            {
                int c = 0;
                for (int k = 0; k < m; k++)
                {
                    c += a[i, k] * b[k, j];
                }

                Console.Write(c);

                if (j < l - 1)
                {
                    Console.Write(' ');
                }
            }
            Console.WriteLine();
        }
    }
}