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The rabbit problem
Rabbits are known for their fast breeding, but how soon will they dominate the earth?
Starting with a small population of male and female rabbits we have to figure out how long it will take for them to outnumber humans 2:1.
Every month a fertile female will have 14 offspring (5 males and 9 females).
A female rabbit is fertile when it has reached the age of 4 months, they never stop being fertile.
Rabbits die at the age of 8 years (96 months).
Input Description
You will be given a list of numbers as following:
Male_rabbits Female_rabbits Rabbits_needed_alive
The initial rabbits will always be 2 months old and fertile females will always produce 14 offspring (5 male, 9 female)
Every month that passes things should be done in this order:
Fertile female reproduce (so 7 year & 11 months old will reproduce)
rabbits age (except newborn) (and rabbits reaching 8 years will die, the 7 year & 11 months old will die)
fx:
2 4 1000000000
Output Description
You output how many months it took for world domination.
Example
Looking just at the female population:
we start with 1 female with the given starting age of 2 months
the index is their age (0-index is 0 months old)
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0] Month 0
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] Month 1
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0] Month 2
[ 9, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] Month 3
[ 9, 9, 0, 0, 0, 0, 1, 0, 0, 0, 0] Month 4
[ 9, 9, 9, 0, 0, 0, 0, 1, 0, 0, 0] Month 5
[ 9, 9, 9, 9, 0, 0, 0, 0, 1, 0, 0] Month 6
[ 9, 9, 9, 9, 9, 0, 0, 0, 0, 1, 0] Month 7
[90, 9, 9, 9, 9, 9, 0, 0, 0, 0, 1] Month 8
For inspiration
Challenge input(s)
2 4 1000000000
2 4 15000000000
Challenge output(s)
32
36
Bonus
Tell how many dead rabbits there are when they dominate earth.