
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 similar game, there are 37 participants (including the starter, Sarah). Sarah holds three calculators: one displays 2, another -2, and the last one 0. Sarah starts by pressing the square button on the calculator that shows 2, the square button on the one that shows -2, and the square button on the calculator that shows 0. After this, she passes all of the calculators to the next person in the circle. Each person presses the same buttons on the same calculators that Sarah pressed and then passes them to the next person. After the calculators have gone around the circle and return to Sarah so that everyone has had one turn, Sarah adds up the numbers showing on the calculators. What is the sum she ends up with?

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