
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
Let the sequence \\(\{a_n\}\) satisfy \\(a_1=2\\), \\(a_{n+1}-a_n=2^n\\).
\\((\\)I\\()\\) Find the general formula for the sequence \\(\{a_n\}\).
\\((\\)II\\()\\) Let \\(b_n=\log_2a_1+\log_2a_2+\ldots+\log_2a_n\\), find the sum of the first \\(n\\) terms of the sequence \\(\left\{ \frac{1}{b_n} \right\}\), denoted as \\(S_n\\).

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