
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 $(1-x)^{n}=a$_{0}+a$_{1}x+a$_{2}x^{2}+…+a$_{n}x^{n}$, where $n \in \mathbb{N}^{*}$ and $n \geqslant 2$.
(1) Let $n=11$, find the value of $|a$_{6}|+|a$_{7}|+|a$_{8}|+|a$_{9}|+|a$_{10}|+|a$_{11}|.
(2) Let $b$_{k}= $\frac{k+1}{n-k}a$_{k+1} $(k \in \mathbb{N}, k \leqslant n-1)$, $S$_{m}=b$_{0}+b$_{1}+b$_{2}+…+b$_{m} $(m \in \mathbb{N}, m \leqslant n-1)$, find the value of $| \frac{S$_{m}}{C$_{n-1}^{m}} |$.

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