Dice are used in many tabletop games to implement various game mechanics. Dice come in a variety of shapes and sizes, with four, six, eight, ten, twelve, or twenty sides. Many games need you to assemble a collection of different$-$sized dice and roll them together. Create a program to imitate dice for a tabletop game.

Create a class for a single dice. The constructor should accept an integer that indicates how many sides the die has. The class should include a function that simulates rolling the die and returns a random number from the valid range.

Create another class that represents a pool of dice. This class should include functions for adding or removing a die from the pool. The class should also include a function that rolls all of the dice in the pool and returns the total that was rolled.

$//$All commands

add $6$

add $4$

roll $4$

roll $6$

add $16$

roll $16$

roll $16$

roll $16$

rollall

add $8$

add $10$

remove $4$

rollall

remove $16$

remove $6$

remove $12$

add $2$

rollall

Exit

Sample input$/$output:

Enter Command:

add $6$

Adding Dice $6...$

Enter Command:

add $4$

Adding Dice $4...$

Enter Command:

roll $4$

Dice $4,$ Roll Result: $2$

Enter Command:

roll $6$

Dice $6,$ Roll Result: $6$

Enter Command:

add $16$

Adding Dice $16...$

Enter Command:

roll $16$

Dice $16,$ Roll Result: $11$

Enter Command:

roll $16$

Dice $16,$ Roll Result: $1$

Enter Command:

roll $16$

Dice $16,$ Roll Result: $6$

Enter Command:

rollall

Rolling all Dice:

Dice $4$: Roll Result: $3$

Dice $6$: Roll Result: $1$

Dice $16$: Roll Result: $16$

Summation of all roll$($s$)$: $20.$

Enter Command:

add $8$

Adding Dice $8...$

Enter Command:

add $10$ can you please solve it in C# starter code: namespace MyDicePool

$\{$

public class Dice

$\{$

public int Side $\{$ get; private set; $\}$

private static Random $\_$r;

static Dice$()$

$\{$

$\_$r $=$ new Random$(7)$;

$\}$

public Dice$($int side$)$

$\{$

Side $=$ side;

$\}$

public string Roll$()$

$\{$

$//$ToDo

$//$Please complete this method

return $""$;

$\}$

public override string ToString$()$

$\{$

$//$ToDo

$//$Please complete this method

return $""$;

$\}$

$\}$

public class DicePool

$\{$

$//$ TODO create DicePool classes

public List DiceList $\{$ get; private set; $\}=$ new List$()$;

public DicePool$()$

$\{$

$\}$

public void AddDice$($int side$)$

$\{$

$//$ToDo

$//$Please complete this method

$\}$

public bool RemoveDice$($int side$)$

$\{$

$//$ToDo

$//$Please complete this method

return false;

$\}$

public string RollAllDice$()$

$\{$

$//$ToDo

$//$Please complete this method

return $""$;

$\}$

public override string ToString$()$

$\{$

return RollAllDice$()$;

$\}$

$\}$

class Program

$\{$

static void Main$($string$[]$ args$)$

$\{$

DicePool dicePool $=$ new DicePool$()$;

string command;

do

$\{$

Console.WriteLine$("$Enter Command:"$)$;

command $=$ Console.ReadLine$()$;

command $=$ command.Trim$()$;

command $=$ command.ToLower$()$;

string$[]$ split $=$ command.Split$()$;

if $($split$[0]==$ "adddice" $||$ split$[0]==$ "add"$)$

$\{$

int sides $=$ int.Parse$($split$[1])$;

Console.WriteLine$($$"Adding Dice $\{$sides$\}...")$;

dicePool.AddDice$($sides$)$;

$\}$

else if $($split$[0]==$ "remove"$)$

$\{$

int sides $=$ int.Parse$($split$[1])$;

Console.WriteLine$($$"Removing Dice $\{$sides$\}...")$;

Console.WriteLine$($$"Remove Successful: $\{$dicePool$.$RemoveDice$($sides$)\}")$;

$\}$

else if $($split$[0]==$ "roll"$)$

$\{$

int sides $=$ int.Parse$($split$[1])$;

Dice dice $=$ dicePool.DiceList.Find$($d $=>$ d$.$Side $==$ sides$)$;

if $($dice $!=$ null$)$

$\{$

Console.WriteLine$($$"Dice $\{$dice$\},$ Roll Result: $\{$dice$.$Roll$()\}")$;

$\}$

else

$\{$

Console.WriteLine$("$Dice not found...

Cannot roll this dice!"$)$;

$\}$

$\}$

else if $($split$[0]==$ "rollall"$)$

$\{$

Console.WriteLine$("$Rolling all Dice:"$)$;

Console.WriteLine$($