
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
Color 2 squares yellow on a 7×7 chessboard, and the rest green. If one coloring method can be obtained by rotating the chessboard in the plane, and these two coloring methods are considered the same, then there are     different coloring methods.

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