
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 2021 candies on a table. Three people take turns eating either one, two, or four candies until all the candies are gone. Can the second and third people collude to prevent the first person from eating the last candy?

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