
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 national chess tournament, 30 players are each assigned their own room in a hotel with the room numbers ranging from 1 to 30. Due to late arrivals, the players assigned to rooms 15, 16, and 17 didn't show up. Calculate the mean room number of the rooms occupied by the other 27 players.

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