
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 person plays a game of throwing stones. In the first turn, they walk $1$ meter and throw $2$ stones; in the second turn, they walk $2$ meters and throw $4$ stones; and so on. In the $n$th turn, they walk $n$ meters and throw $2^n$ stones. When this person has walked a total of $36$ meters, the total number of stones they have thrown is _____.

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