
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
Given that:
1. \( x \) and \( y \) are integers between 10 and 99, inclusive;
2. \( y \) is the number formed by reversing the digits of \( x \);
3. \( z = |x-y| \).

How many distinct values of \( z \) are possible?

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