
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 the sequence $\{a\_n\}$ that satisfies $S\_n = 1 - a\_n, (n \in \mathbb{N}^*)$, where $S\_n$ is the sum of the first $n$ terms of the sequence $\{a\_n\}$.
(I) Find the general term formula for $\{a\_n\}$.
(II) If the sequence $\{b\_n\}$ satisfies $b\_n = \frac{n}{a\_n}, (n \in \mathbb{N}^*)$, find the formula for the sum of the first $n$ terms of $\{b\_n\}$, denoted as $T\_n$.

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