
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
On a cube, select any 4 vertices to form one of the following five types of geometric shapes:

① Rectangle;       ② Parallelogram that is not a rectangle;

③ A tetrahedron with three faces being isosceles right triangles and one face being an equilateral triangle;

④ A tetrahedron with each face being an equilateral triangle;   ⑤ A tetrahedron with each face being a right triangle.

The correct sequence numbers that can make these geometric shapes are

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