
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 the set $M=\{1, 2, 3, 4\}$, and $A \subseteq M$, the product of all elements in set $A$ is called the "cumulative value" of set $A$. It is also stipulated that when set $A$ has only one element, its cumulative value is the value of that element, and the cumulative value of the empty set is 0. Let the cumulative value of set $A$ be $n$.
(1) If $n=3$, then there are $\boxed{2}$ such sets $A$; (2) If $n$ is an even number, then there are $\boxed{13}$ such sets $A$.

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