
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 recent Cych Cup math competition, the maximum score was 100 points. Among the participating students, the highest score was 83 points, and the lowest score was 30 points (all scores are integers). There were 8,000 students in total participating in the competition. How many students at least have the same score?

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