Answer:
In Python:
def years_till_no_carrots(n):
  year = 0
  while(n <= 10000):
    n=n**2
    year = year + 1
 Â
  return year
Explanation:
First, we define the function
def years_till_no_carrots(n):
Next, the number of years is initialized to 0
  year = 0
The following while loop is iterated until the population (n) exceeds 10000
  while(n <= 10000):
This squares the population
    n=n**2
The number of years is then increased by 1, on each successive iteration
    year = year + 1
 Â
This returns the number of years
  return year
To call the function from main, use (e.g): print(years_till_no_carrots(4))