
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 girl always tells the truth on Thursdays and Fridays, and always lies on Mondays. On the remaining days of the week, she may either tell the truth or lie. For seven consecutive days, she was asked in which year she was born. The first six answers received were 2010, 2011, 2012, 2013, 2002, 2011. What could the answer have been on the seventh day? List all possible options.

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