
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
What are the last two digits of the power \( 9^{h} \), given that starting from \( a=1 \):

\[ 
b=2^{a}, \quad c=3^{b}, \quad d=4^{c}, \quad e=5^{d}, \quad f=6^{e}, \quad g=7^{f}, \quad h=8^{g} ?
\]

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