
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
There are 50 participants (including Dean) sitting in a circle. Dean starts with 3 calculators that show 2, -2, and 0, respectively. For the first calculator that shows 2, each participant takes turns doubling the number on the display. For the second calculator that shows -2, each person squares the number. For the third calculator at 0, each participant subtracts 1. After the calculators have gone around once, what is the sum of the numbers on the calculators when they return to Dean?

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