
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 $\{a_n\}$ that satisfies $a_1=1$, and $a_1+ \frac {1}{2}a_2+ \frac {1}{3}a_3+…+ \frac {1}{n}a_n=a_{n+1}-1$ for $n\in\mathbb{N}$, let the sum of the first $n$ terms of the sequence $\{a_n\}$ be $S_n$.  
(1) Find the general formula for the sequence $\{a_n\}$.  
(2) Let $b_n= \frac {1}{S_n}$, and let $T_n$ be the sum of the first $n$ terms of the sequence $\{b_n\}$. Find the smallest positive integer $m$ such that $T_n < \frac {m}{10}$ holds for all $n\in\mathbb{N}$.

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