
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 \(a, b, c, d, e, f, g,\) and \(h\) be distinct elements in the set
\[
\{-9, -6, -3, 0, 1, 3, 6, 10\}.
\]
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