
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]


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At a national competition, 30 Mathletes stay in the same hotel. Each Mathlete gets his/her own room with room numbers ranging from 1 to 30. However, the Mathletes assigned to rooms 15, 16, and 29 have not arrived yet. What is the median room number of the 27 Mathletes who have arrived?

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