
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 now constructs a nonstandard checkerboard with $33$ squares on each side. The checkerboards begin with a black square at each corner and alternate red and black squares along every row and column. Each $33rd$ square of every third row, starting from the first row, is black regardless of the usual alternating pattern. Determine how many black squares there are on this checkerboard.
A) 544 
B) 550
C) 555 
D) 560 
E) 565

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