
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
Cunning Rabbit agrees to triple Cunning Turtle's money each time Turtle crosses the bridge by Rabbit's grove, providing that Turtle pays a 30 coins toll to Rabbit after each crossing. Turtle is enthusiastic about this arrangement until Turtle realizes all his money vanishes after crossing the bridge twice. Determine the initial number of coins that Turtle had.

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