
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
Bill starts to make a list, in increasing order, of positive integers beginning with a "2". He writes $2, 20, 21, 22, \ldots$ but stops after the 1,250th digit. Find the five-digit number formed by the last five digits he wrote (the 1246th to 1250th digits, in that order).

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