
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
Viewers rate a movie with an integer score from 0 to 10. At any given moment, the rating of the movie is computed as the sum of all scores divided by their quantity. At a certain moment \( T \), the rating was an integer, and then with each subsequent voter, the rating decreased by one unit. What is the maximum number of viewers who could have voted after moment \( T \)?

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