
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
Given a positive integer $n$, find the maximum real number $C$ such that if a group of integers greater than 1 (which can have repetitions) has a sum of reciprocals less than $C$, then this group can definitely be divided into no more than $n$ groups, with each group's sum of reciprocals being less than 1.

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