
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 function $f(x)=( \frac {1}{3})^{x}$, the sum of the first $n$ terms of the geometric sequence $\{a\_n\}$ is $f(n)-c$, and the first term of the sequence $\{b\_n\}_{b\_n > 0}$ is $c$. The sum of the first $n$ terms, $S\_n$, satisfies $S\_n-S_{n-1}= \sqrt {S\_n}+ \sqrt {S_{n-1}}(n\geqslant 2)$.
(I) Find the general term formula for the sequences $\{a\_n\}$ and $\{b\_n\}$;
(II) If the sum of the first $n$ terms of the sequence $\{ \frac {1}{b\_nb_{n+1}}\}$ is $T\_n$, what is the smallest positive integer $n$ such that $T\_n > \frac {1005}{2014}$?

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