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 $10$

Adding Dice $10...$

Enter Command:

remove $4$

Removing Dice $4...$

Remove Successful: True

Enter Command:

rollall

Rolling all Dice:

Dice $6$: Roll Result: $6$

Dice $8$: Roll Result: $7$

Dice $10$: Roll Result: $5$

Dice $16$: Roll Result: $15$

Summation of all roll$($s$)$: $33.$

Enter Command:

remove $16$

Removing Dice $16...$

Remove Successful: True

Enter Command:

remove $6$

Removing Dice $6...$

Remove Successful: True

Enter Command:

remove $12$

Removing Dice $12...$

Remove Successful: False

Enter Command:

add $2$

Adding Dice $2...$

Enter Command:

rollall

Rolling all Dice:

Dice $2$: Roll Result: $1$

Dice $8$: Roll Result: $1$

Dice $10$: Roll Result: $9$

Summation of all roll$($s$)$: $11.$

Enter Command:

Exit