
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 \( f(x) = 10^{7x} \), \( g(x) = \log_{10}\left(\frac{x}{10}\right) \), \( h_1(x) = g(f(x)) \), and \( h_n(x) = h_1(h_{n-1}(x)) \) for integers \( n \geq 2 \). What is the sum of the digits of \( h_{4}(100) \)?
A) 19
B) 20
C) 21
D) 22

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