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 ITP1_7_D
{
    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[,] tbl_a = new int[n,m];
            int[,] tbl_b = new int[m,l];
            //A
            for (int j=0; j<n; j++)
            {
                string[] tmp = Console.ReadLine().Split(' ');

                for (int k=0; k<m; k++)
                {
                    tbl_a[j, k] = int.Parse(tmp[k]);
                }
            }

            //B
            for (int p=0; p<m; p++)
            {
                string[] tmp2 = Console.ReadLine().Split(' ');

                for (int q=0; q<l; q++)
                {
                    tbl_b[p, q] = int.Parse(tmp2[q]);
                } 
            }

            //A*B
            for (int r=0; r<n; r++)
            {
                for (int s=0; s<l; s++)
                {
                    long value = 0;
                    for (int t=0; t<m; t++)
                    {
                        value += tbl_a[r, t] * tbl_b[t, s];
                    }

                    if (s != (l - 1))
                    {
                        Console.Write("{0} ", value);
                    }
                    else
                    {
                        Console.Write(value);
                        Console.WriteLine();
                    }
                }
            }
        }
    }
}