
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
Bob rolls a fair eight-sided die each morning, which includes numbers from 0 to 7. If Bob rolls an even number, he eats sweetened cereal. If he rolls an odd number, he eats unsweetened cereal. If he rolls a 0, then he rolls again. In a non-leap year, what is the expected value of the difference between the number of days Bob eats unsweetened cereal and the number of days he eats sweetened cereal?

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