
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 $M=\{1, 2, 3, 4, 5\}$, for its non-empty subset $A$, if we multiply each element $k$ in $A$ by $(-1)^k$ and then sum them up, this sum is called the "Element Characteristic Sum" of $A$. For example: the "Element Characteristic Sum" of $A=\{4\}$ is $(-1)^k \times 4 = 4$, and for $A=\{1, 2, 5\}$, it is $(-1)^1 \times 1 + (-1)^2 \times 2 + (-1)^5 \times 5 = -4$. Then, the total sum of the "Element Characteristic Sums" of all non-empty subsets of set $M$ equals \_\_\_\_\_\_.

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