
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
Samantha is playing a game with tokens. The 50 participants (including Samantha) sit in a circle, and Samantha holds 3 tokens. One token reads 2, another -2, and the last one 0. Samantha starts by pressing the square button on the token that shows 2, pressing the cube button on the one that shows -2, and on the token that shows 0, she presses the square button. After this, she passes all of the tokens to the next person in the circle. Each person presses the same buttons on the same tokens that Samantha pressed and then passes them to the next person. Once the tokens have all gone around the circle and return to Samantha so that everyone has had one turn, Samantha adds up the numbers showing on the tokens. What is the sum she ends up with?

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