
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 teacher wrote two numbers on the board. Petya divided the first number by the second number. Vasya added both numbers and divided the resulting sum by double the first number. It turned out that Petya and Vasya got the same result, which is not equal to 1. What is this result?

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