
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
Alice flips a fair coin each morning. If Alice flips heads, she reads a fiction book. If she flips tails, she reads a non-fiction book. If she flips heads and then tails consecutively, she will flip the coin again. In a leap year, what is the expected number of times Alice will flip her coin?

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