
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 are standing in a circle taking turns counting numbers in sequence. The rules are as follows:
1. The first student starts with the number 1, the second student also starts with the number 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 announcing it has to clap once.
It is known that Student A starts the count, and by the time the five students have sequentially reached the 100th count in cycle, the total number of claps Student A has made is __________.

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