
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 $n \in \mathbb{N}^*$, the sequence ${d_n}$ satisfies $d_n = \frac{3 + (-1)^n}{2}$, and the sequence ${a_n}$ satisfies $a_n = d_1 + d_2 + d_3 + ... + d_{2n}$. In the sequence ${b_n}$, $b_1 = 2$, and for all $m, n \in \mathbb{N}^*$, $b_n^m = b_m^n$.
(I) Find the general terms for the sequences ${a_n}$ and ${b_n}$;
(II) After removing the $a_1$-th, $a_2$-th, $a_3$-th, ..., $a_n$-th terms from the sequence ${b_n}$, the remaining terms are sorted in ascending order to form a new sequence ${c_n}$. Find the sum $T_{2016}$ of the first 2016 terms in this sequence.

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