
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
A hostess baked a pie for her guests. She expects either 10 or 11 people to come. Into how many least pieces should she precut the pie so that it can be divided equally among either 10 or 11 guests?

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