
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
A certain bird species' population in an island grows such that the difference between the populations in year $n+2$ and year $n$ is directly proportional to the population in year $n+1$. The populations in the years $2000$, $2001$, and $2003$ were $58$, $95$, and $178$, respectively. Determine the population in the year $2002$.
A) 95
B) 108
C) 115
D) 123
E) 130

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