
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
In a $33 \times 33$ grid, each cell is colored with one of three different colors such that the number of cells of each color is equal. If two adjacent cells have different colors, the edge between them is called a "separating edge." Find the minimum number of separating edges.

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