
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
Definition: Let $A=\{x|x=a_i, i\leq n, i\in \mathbb{N}^+, n\in \mathbb{N}^+\}$ be a finite set, where $S=a_1+a_2+\ldots+a_{n-1}+a_n$ is called the modulus of set $A$, denoted as $|A|$. If set $P=\{x|x=2n-1, n\in \mathbb{N}^+, n\leq 10\}$, and the subsets of $P$ that contain three elements are denoted as $P_1, P_2, \ldots, P_k$, then the sum $|P_1|+|P_2|+\ldots+|P_k|=$    (Answer in numbers).

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