
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
There is a cube on a table with a picture on its top face. The cube was rolled several times across its edges and returned to its original position. Could it be that the picture is rotated a) 180 degrees compared to its original orientation; b) 90 degrees?

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