
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
A peasant, while buying goods, paid the first vendor half of his money plus 1 ruble; then he paid the second vendor half of the remaining money plus 2 rubles; and lastly, he paid the third vendor half of the remaining money plus 1 ruble. After these transactions, the peasant had no money left. How many rubles did he initially have?

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