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 ConsoleApplication38
{
    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]);
            int[,] A = new int[n, m];
            int[,] B = new int[m, l];
            int[,] C = new int[n, l];
            //A?????????
            for (int x = 0; x < n; x++ )
            {
                String[] input2 = Console.ReadLine().Split(' ');
                 
                for (int y = 0; y < m; y++)
                {
                    int a = int.Parse(input2[y]);
                    A[x , y] =  a;
                }
            }
            //??¢?????????
            for (int x = 0; x < m; x++ )
            {
                String[] input3 = Console.ReadLine().Split(' ');
                for (int y = 0; y < l; y++)
                {
                    int a = int.Parse(input3[y]);
                    B[x, y] = a;
                }
            } 
            //C?????????
            for (int x = 0; x < n; x++)
            {
                for (int y = 0; y < l; y++)
                {
                    int z = 0;
                    for ( z = 0; z < m; z++)
                    {
                        C[x , y] += A[x , z] * B[z , y]; 
                    }
                }
            }
            for (int x = 0; x < n; x++)
            {
                for (int y = 0; y < l; y++)
                {
                    Console.Write(C[x, y]);
                    if(y != l - 1)
                    {
                        Console.Write(" ");
                    }
                }
                Console.WriteLine();
            }

        }
    }
}