
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
Arnošt cut out a square of size $4 \times 4$ from graph paper. Kristián cut out two holes, as shown by the two black squares in the picture below. Arnošt then tried to cut this shape along the outlined lines into two congruent parts.

Find at least four different ways Arnošt could have done this. (Two cuts are considered different if the resulting parts from one cut are not congruent to the parts from the other cut.)

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