
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 $\{a_n\}(n\in\mathbb{N}^*)$ with the sum of the first $n$ terms $S_n=n^2$.  
(I) Find the general formula for the sequence $\{a_n\}$.  
(II) If $b_n= \frac {2}{(2n+1)a_n}$, and the sum of the first $n$ terms of the sequence $\{b_n\}$ is denoted as $T_n$, find the smallest positive integer $n$ for which $T_n > \frac {9}{10}$ holds.

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