
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
Vasya has chosen a natural number greater than 99 but less than 1000. The sum of the first and the last digit of this number is 1, and the product of the first and the second digits is 4. What number has Vasya chosen?

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