
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
Initially, a person randomly selects two numbers from a list, adds them together, drops any decimal places in the sum (if present), and records the result in place of the two selected numbers. This process is repeated with the resulting list of 99 numbers, and so on, until the list contains a single whole number.

It turns out that in the end, all account clerks obtained different results. What is the maximum number of clerks that could have worked in the firm?

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