
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
In a hypothetical number system where the base is three, counting proceeds as follows: $1, 2, 10, 11, 12, 20, 21, 22, 100, 101, \ldots$. What would the 25th number in this sequence be, if written in base three?
A) 202_3
B) 212_3
C) 221_3
D) 222_3
E) 230_3

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