
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
Numbers  $\frac{49}{1}, \frac{49}{2}, ... , \frac{49}{97}$  are writen on a blackboard. Each time, we can replace two numbers (like  $a, b$ ) with  $2ab-a-b+1$ . After  $96$  times doing that prenominate action, one number will be left on the board. Find all the possible values fot that number.

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