
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 room, each person is an painter and/or a musician.  $2$  percent of the painters are musicians, and  $5$  percent of the musicians are painters. Only one person is both an painter and a musician. How many people are in the room?

*Proposed by Evan Chang*

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