
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 \( f \) be the function that maps a positive integer to the sum of its digits when written in base 10. For example, \( f(537)=15 \). Calculate \( f\left(f\left(f\left(4444^{4444}\right)\right)\right) \).

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