
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
Chubby creates a new nonstandard checkerboard with dimensions 29 squares on each side. The checkerboard maintains a black square in every corner and alternates red and black squares along every row and column. Calculate the number of black squares on this checkerboard.

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