
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
All three friends visited Daphne yesterday, so on the days when all three friends visit her are those following the least common multiple of 4, 6, and 8. Find the number of days in a 365-day period that exactly two friends visit her.

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