
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 placed in a circle at equal intervals. Each seat is painted in yellow, blue, or red color. Seats of the same color are consecutive and numbered 1, 2, 3, ... clockwise. The blue seat No. 7 is opposite the red seat No. 3, and the yellow seat No. 7 is opposite the red seat No. 23. Find out how many yellow, blue, and red seats are on the carousel.

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