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;
using System.Collections.Generic;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {     
        static void Main(string[] args)
        {

            string[] datanum = Console.ReadLine().Split(' ');

            //????????????????????????n,m,l???int????????£??????
            int n = int.Parse(datanum[0]);
            int m = int.Parse(datanum[1]);
            int l = int.Parse(datanum[2]);

            //??\??????????????????A??¨??????B????????????????????????2?¬??????????
            int[,] matrixA2D = new int[n, m];
            int[,] matrixB2D = new int[m, l];

            //?¨??????????????????????????????????????¬??????????
            int[,] result2D = new int[l, n];



            //??????A??????????????????????????????
            for(int i = 0; i < n; i++)
            {
                string[]rowset = Console.ReadLine().Split(' ');

                for(int j = 0; j < m; j++)
                {
                    matrixA2D[i, j] = int.Parse(rowset[j]);
                }
            }

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

                for(int b = 0; b < l; b++)
                {
                    matrixB2D[a, b] = int.Parse(columsset[b]);
                }

            }


            //?????????????????????
            for(int r = 0; r < m; r++)
            {

                for(int u = 0; u < l; u++)
                {
                    int f = 0;

                    while(f < n)
                    {
                        result2D[u, f] += matrixA2D[f, r] * matrixB2D[r, u];
                        f++;
                    }

                }
            }


            //????????????
            for(int y = 0; y < n; y++)
            {
                string text = string.Empty;

                for (int z = 0; z < l; z++)
                {
                    text += result2D[z, y].ToString() + ' ';                                       
                }

                Console.WriteLine(text.TrimEnd());
            }


        }
    
    }

}