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AlexPancho2017-07-25 16:15:11
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AlexPancho, 2017-07-25 16:15:11

Correctly count ... cows. Is the task set correctly enough?

The farmer has 1 cow, every year the cow brings offspring in the form of one cow or bull. The average life expectancy of a cow is 7 years. Each ladybird can start producing offspring only from the second year after birth, i.e. in the end, she can bring offspring in the form of 6 calves. Bulls are born in even years, cows in odd years (1st year - no offspring, 2nd year - bulls, 3rd year - cow, 4th year - bulls, etc.). Further, we do not take into account the bulls, we stop at the cows, because. they will also bring us further offspring. As a result, how many cows can there be in 40 years?
there is an opinion that the decision depends on when exactly during the year a cow is born, and so on. the problem lacks the conditions for a correct answer. Is it so?
It was decided by a group and several different answers came out.

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Sergey Lerg, 2017-07-25
@Lerg

By the type of task, large simplifications are clearly assumed. The time step is most likely meant to be a year, hence no calves in the middle of the year.
Step 0: 1 cow: 0 years.
Step 1: 1 cow: 1 year old.
Step 2: 1 cow, 1 bull [2 years, 0 years]
Step 3: 2 cows, 1 bull [3 years, 1 year, 0 years]
And so on.

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