
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
Select two numbers from the set \(\{1, 2, \cdots, 37\}\) such that the sum of the remaining 35 numbers is equal to the product of these two numbers. Find the difference between the two numbers that satisfy this condition.

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