
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
Consider a polygon constructed from 6 congruent squares arranged edge-to-edge in an L-shape (three squares forming a line attached perpendicularly to a row of three squares at one end). An additional congruent square can be attached to any of the external edges of this arrangement. How many of these configurations can be folded to form a rectangular "box" open at one end with a 2x3 square base?
A) 2
B) 3
C) 4
D) 5
E) 6

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