
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 an $8 \times 8$ grid of squares, where squares are either black or white and there must be at least one square of each color. The code is called $\textit{symmetric}$ if its appearance remains unchanged when the grid is rotated by $180^\circ$ and reflected across a line joining midpoints of opposite sides. Determine the total number of possible symmetric scanning codes.

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