
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
Lilly starts making a list in increasing order of positive integers that have a first digit of 2. She writes $2, 20, 21, 22, \ldots$ but intends to stop after writing a total of 600 digits. What two-digit number is formed by the 599th and 600th digits she writes?

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