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.Linq;

namespace ConsoleApp_ITP1_7_D
{
    class Program
    {
        static void Main(string[] args)
        {
            int[] dimension = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            int n = dimension[0];
            int m = dimension[1];
            int l = dimension[2];

            int[,] matrixa = new int[n, m];
            int[,] matrixb = new int[m, l];
            double[,] matrixc = new double[n, l];

            for(int i = 0; i < n; i++)
            {
                int[] matrixaRank = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

                for (int j = 0; j < m; j++)
                {
                    matrixa[i, j] = matrixaRank[j];
                }
            }

            for (int i = 0; i < m; i++)
            {
                int[] matrixbRank = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

                for (int j = 0; j < l; j++)
                {
                    matrixb[i, j] = matrixbRank[j];
                }
            }

            for(int i = 0; i < n; i++)
            {
                for(int j = 0; j < l; j++)
                {
                    for(int k = 0; k < m; k++)
                    {
                        matrixc[i, j] += matrixa[i, k] * matrixb[k, j];
                    }
                }
            }

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