
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
In the diagram, a small rectangular grid of size \(2 \times 1\) consists of two small squares of equal size. Using 8 such rectangles, it's possible to form a \(4 \times 4\) square. If one formed square looks the same as another formed square after rotation, they are considered the same. Question: Among all the possible formed square patterns, how many different patterns have at least 2 lines of symmetry?

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