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: Accepted)

using System;

namespace AOJ
{
    class Program
    {
        static void Main(string[] args)
        {
          
            //????????°????????????
            var read = Console.ReadLine();
            var temp_string = read.Split(' ');
            int n = int.Parse(temp_string[0]), m = int.Parse(temp_string[1]), l = int.Parse(temp_string[2]);
            

            //?????¨?????°??????
            var A_list = new int[n, m];
            var B_list = new int[m, l];
            var C_list = new long[n,l];

            //A???????????????
            for(int i=0;i<n;i++)
            {
                read = Console.ReadLine();
                temp_string = read.Split(' ');

                for (int j = 0; j < m;j++ )
                {
                    A_list[i, j] = int.Parse(temp_string[j]);
                }
                    
            }

            //B???????????????
            for (int i = 0; i < m; i++)
            {
                read = Console.ReadLine();
                temp_string = read.Split(' ');

                for (int j = 0; j < l; j++)
                {
                    B_list[i, j] = int.Parse(temp_string[j]);
                }

            }

            //?¨????
            for(int i=0;i<n;i++)
            {
                for(int j=0;j<m;j++)
                {
                    for(int k=0;k<l;k++)
                    {
                        C_list[i,k] += A_list[i, j] * B_list[j, k];
                    }
                }
            }


            for (int i = 0; i < n; i++)
            {
                for (int j = 0; j < l; j++)
                {
                    Console.Write(C_list[i, j]);
                    if(j<l-1)
                    {
                        Console.Write(" ");
                    }
                }
                Console.WriteLine();
            }

           
        }
    }
}