
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
Daphne is visited periodically by her three best friends: Alice, Beatrix, and Claire. Alice visits every day, Beatrix visits every 5 days, and Claire visits every 7 days. All three friends visited Daphne yesterday. How many days of the next $180$-day period will exactly two friends visit her?
A) 47
B) 51
C) 55
D) 58
E) 62

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