
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 $\{a\_n\}$ where the sum of the first $n$ terms is $S\_n$, and it satisfies $a\_1=r$, $S\_n=a\_{n+1}-\frac{1}{32} (n\in\mathbb{N}^*)$.
(I) Determine the value of $r$ such that $\{a\_n\}$ is a geometric sequence, and find the general term of the sequence.
(II) Under the conditions of (I), let $b\_n=\log\_2{a\_n}$, find the sum of the first $n$ terms of the sequence $\{|b\_n|\}$, denoted as $T\_n$.

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