
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
After watching a movie, viewers rated the film with an integer score from 0 to 10. At each moment in time, the movie rating was calculated as the sum of all given ratings divided by their count. At a certain moment in time \( T \), the rating was an integer, and then with each new voting viewer, it decreased by one unit. What is the maximum number of viewers that could have voted after moment \( T \)?

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