
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 kindergarten, 150 children stood in a circle. Each is looking at the teacher standing in the center of the circle. Some children are wearing blue jackets, while the rest are wearing red jackets. There are 12 children in blue jackets who have a left neighbor in a red jacket. How many children have a left neighbor wearing a jacket of the same color?

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