
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 sequence, with the following rules: ① The first student starts counting from 1. The second student also starts from 1, and thereafter, each student's count is the sum of the previous two students' counts; ② If the count is a multiple of 3, the student must clap once. When the 30th number is counted, the total number of claps by the five students is.

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