
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In how many years from 2000 will the population of Fantasia be as much as Emperor Eldric has proclaimed that the realm can support, given that the land has 40000 acres and each person requires 1 acre, and the population quadruples every 20 years starting from a base population of 500 people in 2000?

Present the answer in LaTex format: \boxed{Your answer}
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