
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
There are 19 students participating in a singing competition, and their scores are all different. The top 10 students by score will enter the final. If a student knows his own score, determine the measure of the scores of these 19 students that can be used by him to ascertain whether he can enter the final.

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