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;


namespace ConsoleApplication22
{
    class Program
    {
        static void Main(string[] args)
        {
            String[] input = Console.ReadLine().Split(' ');
            int n = int.Parse(input[0]);
            int m = int.Parse(input[1]);
            int l = int.Parse(input[2]);
            if ((n >= 1 && m >= 1 && l >= 1) && (n <= 100 && m <= 100 && l <= 100))
            {


                int[,] A = new int[n, m];
                int[,] B = new int[m, l];

                for (int y = 0; y < n; y++)
                {
                    String[] input2 = Console.ReadLine().Split(' ');
                    for (int x = 0; x < m; x++)
                    {
                        int an = int.Parse(input2[x]);
                        if (0 <= an && an <= 10000)
                        A[y, x] = an;
                    }
                }
                for (int y = 0; y < m; y++)
                {
                    String[] input3 = Console.ReadLine().Split(' ');
                    for (int x = 0; x < l; x++)
                    {
                        int bn = int.Parse(input3[x]);
                        if (0 <= bn && bn <= 10000)
                        B[y, x] = bn;
                    }
                }
                int[,] C = new int[n, l];
                int cn = 0;
                for (int z = 0; z < n; z++)
                {
                    for (int y = 0; y < l; y++)
                    {
                        for (int x = 0; x < m; x++)
                        {
                            cn = A[z, x] * B[x, y];
                            C[z, y] = C[z, y] + cn;
                        }
                    }
                }
                for (int y = 0; y < n; y++)
                {
                    for (int x = 0; x < l; x++)
                    {
                        Console.Write(C[y, x]);
                        if (x != l - 1)
                            Console.Write(" ");
                    }
                    Console.WriteLine("");
                }
            }
        }
    }
}