
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
Five students stand in a circle and count in turn, following these rules: ① The first student starts counting from 1, the second student also starts from 1, and thereafter, each student announces a number that is the sum of the numbers announced by the previous two students. ② If the announced number is a multiple of 3, the student must clap once. It is known that student A starts counting. When the students have counted up to the 100th number in turn, the total number of times student A claps is ___.

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