
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
In a game, 60 participants (including Sarah) are seated in a circle each holding a calculator. Initially, the calculators read 2, 0, and -2 respectively. Sarah starts by taking the square root of the number on the calculator that shows 2, squaring the number on the calculator that shows 0, and taking the factorial of the number on the calculator that shows -2 (interpreted as multiplying by -1 for each pass). Each participant does the same operations and passes the calculators to the next person. After each calculator has been passed around the circle to return to Sarah, she sums the numbers showing on the calculators. What is the sum Sarah observes on the calculators?

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