
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
What is the minimum possible value of $(a + b + c + d)^2 + (e + f + g + h)^2$, where $a,b,c,d,e,f,g$, and $h$ are distinct elements in the set $\{ \minus{} 7, \minus{} 5, \minus{} 3, \minus{} 2, 2, 4, 6, 13\}$.

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