
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
There are 100 seats on a carousel arranged in a circle, equally spaced. Each seat is painted in yellow, blue, or red. Seats of the same color are placed consecutively and numbered $1,2,3, \ldots$ clockwise. Blue seat No. 7 is opposite to red seat No. 3, and yellow seat No. 7 is opposite to red seat No. 23. Find out the number of yellow, blue, and red seats on the carousel.

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