
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
How many pheasants did the clever gypsy actually catch if each of the three gatekeepers demanded "half of the stolen pheasants plus another half"?

(Note: The gypsy eventually gave the count to the lord without receiving any punishment, each gatekeeper received their desired amount, and the lord received three pheasants.)

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