
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
Let $a, b, c, d, e, f, g, h$ be distinct elements in the set \[\{-7, -5, -3, -1, 0, 2, 4, 5\}\]. What is the minimum possible value of \[(a+b+c+d)^{2} + (e+f+g+h)^{2}?\]

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