
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
At a state contest, 24 Mathletes stay in the same hotel. Each Mathlete gets his/her own room, and the room numbers are 1 through 24. If the Mathletes staying in rooms 15, 16, and 17 haven't arrived yet, what is the median room number of the other 21 Mathletes?

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