
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 100 pieces, and two players take turns removing pieces. Each time, they are allowed to take 1, 2, or 5 pieces. The player who takes the last piece wins. If it is your turn first, how many pieces should you take on your first turn to guarantee a win?

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