
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
The point \( P(a, b) \) in the \( xy \)-plane is first rotated counterclockwise by \( 90^\circ \) around the point \( (2, 3) \) and then reflected about the line \( y = x \). The image of \( P \) after these two transformations is at \( (5, -1) \). What is \( b - a \)?
**A)** 0  
**B)** 1  
**C)** 2  
**D)** 3  
**E)** 4

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