Note: Homework assignments should be completed in identified pairs (not more than two students), but may be done individually as well. As a pair, you should submit your assignments separately, but you will receive the same grade as your partner.

In this assignment, you will make a game to help students learn the factors of two, three, and five. The player enters the minimum number (min), the maximum number (max) and a direction (up or down) depending on whether they want you to count up or down.

• If up iterate over all the numbers from min to max (inclusive).
• If down iterate over all the numbers from max to min (inclusive).

• For each number, if the number is a multiple of:

  • five: output the number followed by the phrase “five golden rings!”
  • three: output the multiples of three from 0 to the number (with spaces inbetween).
  • two: output the even numbers (i.e., multiples of two) from min to the number (with spaces inbetween). If min is not a multiple of two, start at min + 1.
• If the number is a multiple of more than one of 2, 3, and 5, choose the output for the largest divisor. For example, 30 would output “30 five golden rings!”
• After you have completed the output ask the user if they would like to play again?
  • If they choose ‘y’ or ‘Y’ for Yes, then randomly flip a coin and either output: "Sorry, I'm too tired to play again..." or "Ok, here we go....".
  • If "Ok, here we go..." is outputed, then you should ask them for a new set of min, max, and up/down inputs.
  • If they do not choose ‘y’ or ‘Y’, then output "Thanks for playing!"

Here is an example output of the game:

Min:3
Max:12
Direction (up/down):down
0 3 6 9 12 
10 five golden rings!
0 3 6 9 
4 6 8 
0 3 6 
5 five golden rings!
4 
0 3 
Would you like to play again (Y or y for Yes)?y
Ok, here we go....
Min:3
Max:12
Direction (up/down):up
0 3 
4 
5 five golden rings!
0 3 6 
4 6 8 
0 3 6 9 
10 five golden rings!
0 3 6 9 12 
Would you like to play again (Y or y for Yes)?y
Ok, here we go....
Min:1
Max:2
Direction (up/down):up
2 
Would you like to play again (Y or y for Yes)?y
Sorry, I'm too tired to play again...

Note: You are prohibited from creating lists in your solution to this homework assignment.