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: Runtime Error)

using System;

class ITP1_7_C
{
    public static void Main()
    {
        string[] Input;
        int n, m, l;
        int[,,] Matrix;
        int[,] Output;

        Input = Console.ReadLine().Split(' ');
        n = int.Parse(Input[0]);
        m = int.Parse(Input[1]);
        l = int.Parse(Input[2]);
        Output = new int[n, l];
        Matrix = new int[2, n, l];


        for (int num = 0; num < 2; num++)
        {
            for (int row = 0; (num == 0 && row < n) || (num == 1 && row < m); row++)
            {
                Input = Console.ReadLine().Split(' ');
                for (int column = 0; column < l; column++)
                {
                    if ((num == 0 && column < m) || (num == 1 && row < m))
                        Matrix[num, row, column] = int.Parse(Input[column]);
                    else
                        Matrix[num, row, column] = 0;
                }
            }
        }


        for (int row = 0; row < n; row++)
        {
            for (int column = 0; column < l; column++)
            {
                Output[row, column] = 0;
                for (int k = 0; k < n; k++)
                    Output[row, column] += Matrix[0, row, k] * Matrix[1, k, column];
            }
        }


        for (int row = 0; row < n; row++)
        {
            for (int column = 0; column < l; column++)
            {
                if (column != 0) Console.Write(" ");
                Console.Write(Output[row, column]);
            }
            Console.WriteLine();
        }
    }
}