
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, where some squares are black and others are white. Each scanning code must contain at least one square of each color. A code is $\textit{symmetric}$ if it appears the same when rotated by any multiple of $90^{\circ}$ around its center or reflected across any diagonal line 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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