
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 $3$ by $3$ square is divided into nine $1$ by $1$ squares. Each small square is painted either blue or yellow. Determine how many different ways the painting can be accomplished with the condition that no blue square shares its top nor right side with any yellow square, and no two yellow squares share a diagonal. There can be as few as zero or as many as nine small blue squares.
A) 5  
B) 7  
C) 8  
D) 9  
E) 10

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