
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 regional contest, 31 mathletes stay in the same hotel. Each Mathlete gets his/her own room and the room numbers are 1 through 31. If all the Mathletes have arrived except for those staying in rooms 15, 16, and 30, what is the median room number of the remaining 28 Mathletes?

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