
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
A square and an equilateral triangle are filled with the same number of equal circles that touch each other and the sides of these shapes. How many circles are required if there are 14 more circles along the side of the triangle than along the side of the square?

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