
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
For a finite set of naturals  $(C)$ , the product of its elements is going to be noted  $P(C)$ . We are going to define  $P (\phi) = 1$ . Calculate the value of the expression   $$ \sum_{C \subseteq \{1,2,...,n\}} \frac{1}{P(C)} $$  

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