
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 a set $M={4,3,-1,0,1}$ with 5 elements, let $M_1$, $M_2$, ..., $M_{31}$ represent all non-empty subsets of $M$. Let $m_i$ denote the product of all elements in each $M_i (i=1,2,...,31)$. Find the sum of $m_1+m_2+...+m_{31}$ = \_\_\_\_\_\_.

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