
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
The decimal representation of a natural number \( n \) contains sixty-three digits. Among these digits, there are twos, threes, and fours. There are no other digits. The number of twos is 22 more than the number of fours. Find the remainder when \( n \) is divided by 9.

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