
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
A high school has a total of $960$ first-year students. They want to select $32$ students to participate in charity events using systematic sampling. Students are randomly assigned numbers from $1$ to $960$. They use simple random sampling to select the first student with number $30$. Students with selected numbers falling in the interval $[1, 350]$ participate in the first charity event, students in the interval $[351, 700]$ participate in the second event, and the remaining students participate in the third event. The number of students participating in the third charity event is $\_\_\_\_\_\_$.

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