I came up with an amazing and really interesting (in my opinion) math/logic problem tonight while smoking a bowl and buzzing on a 30mg extended release adderall. Here it is, try and figure it out and if no one can after awhile I'll post the solution.

Suppose for some reason that the entire population of humans is nearing extinction. There are 4 humans left alive, all unrelated to each other. 2 males, and 2 females, all 18 years old. They are told to repopulate the planet without any inbreeding. For the sake of morality, step family (step siblings, parents, grandparents, great grandparents, children, grandchildren, great grandchildren, cousins, nephews, nieces, etc.) cannot breed together.

-Each male and female will be fertile until they are 37.
-A man can only have children with each woman two seperate times (So, a man and a woman will have a maximum of 4 children with each other).
-Whenever a woman gets pregnant and has children, it will always be twins and they will be a boy and a girl.
-When a child reaches 18 years of age, they will have their first children. They will have their second children when they reach 36 years of age.
-People die at the age of 73.

Using this information, answer the following:

[1] How many generations can these 2 families live for until there are no more possible unrelated combinations of males and females able to produce?

[2] How many people will have been alive after everyone dies out?

[3] What will have been the most people alive at one time?

[4] How many years will these people survive for?

It really isn't that easy, I was so focused on figuring this out though because of this Adderall that I sat down for at least an hour or more and wrote and drew out 2 family trees. I'll explain later how I came up with this problem. Bonus points if you can come up with hypothetical family trees. I'll translate mine to the computer and post it later.
Caruso329 Reviewed by Caruso329 on . I came up with an awesome math/logic problem stoned. I came up with an amazing and really interesting (in my opinion) math/logic problem tonight while smoking a bowl and buzzing on a 30mg extended release adderall. Here it is, try and figure it out and if no one can after awhile I'll post the solution. Suppose for some reason that the entire population of humans is nearing extinction. There are 4 humans left alive, all unrelated to each other. 2 males, and 2 females, all 18 years old. They are told to repopulate the planet without any Rating: 5