
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
On the board, there are numbers $1, \frac{1}{2}, \frac{1}{3}, \ldots, \frac{1}{100}$. It is allowed to erase any two numbers $a$ and $b$ and write $a+b+ab$ instead of them. After several such operations, one number remains on the board. What could it be?

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