
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
Which of the following reasoning is logical?

\\(①\\) Inferring properties of a sphere from the properties of a circle;  
\\(②\\) By observing that the sum of the interior angles of a right triangle, an isosceles triangle, and an equilateral triangle is \\(180^\circ\\), generalizing that the sum of the interior angles of all triangles is \\(180^\circ\\);  
\\(③\\) If one chair in the classroom is broken, then all chairs in the classroom are broken;  
\\(④\\) The sum of the interior angles of a triangle is \\(180^\circ\\), for a quadrilateral it is \\(360^\circ\\), and for a pentagon it is \\(540^\circ\\); from this, it is deduced that the sum of the interior angles of a convex polygon is \\((n-2) \cdot 180^\circ\\).

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