
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 math competition, 25 participants are each assigned a unique room number from 1 to 25 in a large hotel. However, due to a scheduling error, the Mathletes assigned to rooms 10, 15, and 20 did not attend. What is the median room number of the remaining 22 Mathletes?

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