
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
Fit $3, 4, 5$, or $6$ circles, equal to each other, inside a given circle such that each circle touches the given circle and at the same time each circle touches each other sequentially.

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