
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 mathematics conference, 30 mathematicians are each assigned one room in a hotel, with room numbers ranging from 1 to 30. However, the mathematicians assigned to rooms 17 and 25 did not show up. What is the median room number of the remaining 28 mathematicians?

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