
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 $4 \times 4$ square grid is initially painted such that its two diagonal lines are black and the remaining squares are white. The grid undergoes two consecutive $90^\circ$ clockwise rotations. After each rotation, any white square occupying a position, where initially there was a black square, turns black. Determine the probability that the entire grid is black after these transformations.
A) 1
B) 0
C) 0.75
D) 0.5

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