
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
Three people, A, B, and C, regularly go to the library. A goes every 1 day, B goes every 2 days, and C goes every 3 days. They all meet at the library on the last day of February. Determine how many days from March 1 to June 30, inclusively, only one of the three goes to the library.

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