
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 guests. She expects either 10 or 11 people may show up. What is the minimum number of pieces she needs to cut the pie into so that it can be equally divided among either 10 or 11 guests?

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