
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 any 4-digit positive integer \( x \) not ending in '0', we can reverse the digits to obtain another 4-digit integer \( y \). For example, if \( x \) is 1234, then \( y \) is 4321. How many possible 4-digit integers \( x \) are there if \( y - x = 3177 \)?

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