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