
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
Given the following statements: ① The radius of a sphere is the line segment from any point on the sphere to the center of the sphere; ② The diameter of a sphere is the line segment between any two points on the sphere; ③ Cutting a sphere with a plane results in a circle; ④ A sphere is often represented by the letter denoting its center. Among these statements, the correct ones are:

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