
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 sequence $\{a_n\}$ whose sum of the first $n$ terms is $S_n$, and $S_n = 1 - a_n$, the sequence $\{b_n\}$ satisfies $b_n = \log_{4}a_1 + \log_{4}a_2 + \ldots + \log_{4}a_n$.
1. Find the general formula for the sequence $\{a_n\}$.
2. Find the sum of the first $n$ terms, $T_n$, for the sequence $\left\{ \frac{1}{a_n} + \frac{1}{b_n} \right\}$.

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