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;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication7
{
    class Program
    {
        static void Main(string[] args)
        {
            // n,m,l入力
            int[] intInputInfoArray = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();

            int n = intInputInfoArray[0];
            int m = intInputInfoArray[1];
            int l = intInputInfoArray[2];

            // n,m,lから行列A,B,Cの配列を作成
            int[,] intAMatrixArray = new int[n, m];
            int[,] intBMatrixArray = new int[m, l];
            long[,] longCMatrixArray = new long[n, l];

            int[] intInputTempDataArray;

            // 行列Aのデータ入力
            for (int row = 0; row < n; row++)
            {
                intInputTempDataArray = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
                for (int col = 0; col < m; col++)
                {
                    intAMatrixArray[row, col] = intInputTempDataArray[col];
                }
            }

            // 行列Bのデータ入力
            for (int row = 0; row < m; row++)
            {
                intInputTempDataArray = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
                for (int col = 0; col < l; col++)
                {
                    intBMatrixArray[row, col] = intInputTempDataArray[col];
                }
            }

            // 行列Cの計算
            for (int row = 0; row < n; row++)
            {
                for (int col = 0; col < l; col++)
                {
                    for (int index = 0; index < m; index++)
                    {
                        longCMatrixArray[row, col] += intAMatrixArray[row, index] * intBMatrixArray[index, col];
                    }
                }
            }

            // 出力
            for (int row = 0; row < n; row++)
            {
                for (int col = 0; col < l; col++)
                {
                    if (col != l - 1)
                    {
                        Console.Write(longCMatrixArray[row, col] + " ");
                    }
                    else
                    {
                        Console.Write(longCMatrixArray[row, col]);
                        break;
                    }
                }
                Console.Write("\r\n");
            }
        }
    }
}