
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
Let Z be the integers. \( f : Z \to Z \) is defined by \( f(n) = n - 10 \) for \( n > 100 \) and \( f(n) = f(f(n+11)) \) for \( n \leq 100 \). Find the set of possible values of \( f \).

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