
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
Petya wrote down a sequence of three positive numbers, followed by a sequence of their pairwise sums, and below that a sequence of the pairwise products of the numbers in the second sequence. The numbers in the third sequence matched (in some order) the numbers in the first sequence. Find these numbers.

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