
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
In a class of 50 students, each student must choose one sport from each of the following three categories to participate in a test: ball sports include basketball, volleyball, football, and table tennis, totaling 4 sports; running includes 100m, 200m, and 400m, totaling 3 events; jumping includes high jump and long jump, totaling 2 events. Therefore, at least $\boxed{\text{number}}$ students in the class have chosen exactly the same three events.

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