
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
A scanning code consists of a $5 \times 5$ grid of squares, with some of its squares colored black and the rest colored white. At least one square must be of each color. A scanning code is called $\textit{symmetric}$ if it remains the same when rotated by a multiple of $90^\circ$ counterclockwise, or when reflected through a line joining opposite corners or midpoints of opposite sides. How many possible symmetric scanning codes can be created?

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