
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 competition, the full score is 100 points. Among the participating students, the highest score is 83 points and the lowest score is 30 points (all scores are integers). There are a total of 8000 students participating. At least how many students have the same score?

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