
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 \( n \) is a natural number, the polynomial \( P(x)=\sum_{h=0}^{n} C_{n}^{h} x^{n-h} \cdot(x-1)^{h} \) can be expanded into ascending powers of \( x \) as \( a_{0} + a_{1} x + a_{2} x^{2} + \cdots + a_{n} x^{n} \). Find the value of \( \left|a_{0}\right|+\left|a_{1}\right|+\left|a_{2}\right|+\cdots+\left|a_{n}\right| \).

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