
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
Around a round table there are 11 chairs placed regularly, and in front of each chair, there is a card with the name of one of the members of the JBMO committee. Each of the 11 cards has a different name. At the beginning of their meeting, the committee members realize that they all sat in front of a card that was not theirs. Is it possible to rotate the table so that at least 2 people end up in front of their own card?

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