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 ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
                string input = Console.ReadLine();
                string[] nml = input.Split(' ');
                int n = int.Parse(nml[0]);
                int m = int.Parse(nml[1]);
                int l = int.Parse(nml[2]);

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

                for (int i = 0; i < n;i++ )//a????????????a?????????????????£??\
                {
                    string inputa = Console.ReadLine();
                    string[] arraya = inputa.Split(' ');
                    for (int j = 0; j < m; j++)
                    {
                        a[i, j] = int.Parse(arraya[j]);
                    }
                }

                for (int i = 0; i < n; i++)//c????????????0??§?????????
                {
                    for (int j = 0; j < l; j++)
                    {
                        c[i, j] = 0;
                    }
                }

                    for (int i = 0; i < m; i++)//b????????????a?????????????????£??\
                    {
                        string inputb = Console.ReadLine();
                        string[] arrayb = inputb.Split(' ');
                        for (int j = 0; j < l; j++)
                        {
                            b[i, j] = int.Parse(arrayb[j]);
                        }
                    }

                for (int i = 0; i < n; i++)//3
                {
                    for (int j = 0; j < m; j++)//2
                    {
                        for (int k = 0; k < l; k++)//3
                        {
                            c[i,k] = c[i,k] + a[i,j]*b[j,k];
                        }
                    }
                }

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