
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
182 to 1 to 1000000000, find the sum of the digits of each number; then find the sum of the digits of the resulting 1 billion numbers, and continue this process until 1 billion single-digit numbers are obtained. Which digit appears more frequently, 1 or 2?

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