
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 throws a fair eight-sided die each morning. If Alice throws a perfect square number, she chooses porridge for breakfast. For any prime numbers, she chooses toast. If she throws an 8, she will throw the die again. How many times can Alice be expected to throw her die in a leap year?

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