
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
A survey is conducted on the website of the football club "Rostov" to determine which of the $m$ football players visitors consider the best based on the season's results. Each visitor votes once for one football player. The website displays the rating of each football player as the percentage of votes they have received, rounded to the nearest whole number. After several visitors have voted, the total rating of the nominees added up to $95 \%$. What is the smallest possible value of $m$ for which this is possible?

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