
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 92-digit natural number \( n \) has its first 90 digits given: from the 1st to the 10th digit are ones, from the 11th to the 20th are twos, and so on, from the 81st to the 90th are nines. Find the last two digits of \( n \), given that \( n \) is divisible by 72.

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