A Question of Heredity
Long Long Ago in 510 BC, The Fictionally Famous Greek Philosopher Archalios had two sons, he made an assumption that if each of his two children were to have exactly two children after 10 years and their children would also a have two children after 25 years from their birth.
He then made a lot of calculations and also found out at which year all his descendants would give birth to 67108864 children, Which year did he wrote down?
Details & Assumptions to be made:
All the children gave birth to 2 children and none of them died.
All Children are born at the same time.
All Children can give birth none of them are impotent.
This problem is an entry in the Troll King Contest