
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

A company recorded its expenses in rubles for 100 budget items, resulting in a list of 100 numbers (each number has no more than two decimal places). Each accountant took a copy of the list and found an approximate total of the expenses by doing the following: Initially, they arbitrarily chose two numbers from the list, added them, discarded the decimal part of the sum (if any), and recorded the result instead of the two chosen numbers. They repeated this process with the resulting list of 99 numbers, and so on, until only one integer remained in the list. It turned out that ultimately all the accountants obtained different results. What is the maximum number of accountants that could have been working at the company?

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