
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
Petya cut a $2 \times 1$ paper parallelepiped along its edges and obtained a net. Then Dima cut off one square from this net, leaving nine squares as shown in the picture. Where could the cut-off square have been? Draw the complete net and mark the cut-off square on it. (One correct version of the net is sufficient).

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