
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 are written the 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 instead \(a + b + a b\). After several such operations, one number is left on the board. What can it be equal to?

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