
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 four-digit integer \( p \) and the four-digit integer obtained by reversing the order of the digits of \( p \) are both divisible by \( 63 \) (product of primes \( 7 \) and \( 9 \)). Additionally, \( p \) must be divisible by \( 19 \). Determine the greatest possible value of \( p \).

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