
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 sum of two three-digit numbers, each having the same digits but in reverse order, is 1252. Find these numbers if the sum of the digits of each number is 14 and the sum of the squares of the digits is 84.

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