
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 second day, Beatrix every sixth day, and Claire every fifth day. Alice started her visits today, whereas Beatrix and Claire will start their visit cycles from tomorrow. Determine how many days in the next 400-day period exactly two friends visit Daphne?
A) 53
B) 40
C) 13
D) 80
E) 90

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