
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
Old Lady Wang went to the market to sell eggs. The first person bought half of the eggs in the basket plus one more, and the second person bought half of the remaining eggs plus one more. At this point, there was only one egg left in the basket. Determine the total number of eggs that Old Lady Wang sold.

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