
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 that the sequence ${a_n}$ is a geometric sequence and satisfies $a_2+a_5=36$, $a_3 \cdot a_4=128$.
(I) Find the general term formula of the sequence ${a_n}$;
(II) If the sequence ${a_n}$ is an increasing sequence, and $b_n=a_n+\log_2 a_n (n\in\mathbb{N}^*)$, find the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $S_n$.

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