
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  $s=a+b+c$ , where  $a$ ,  $b$ , and  $c$  are integers that are lengths of the sides of a box.  The volume of the box is numerically equal to the sum of the lengths of the twelve edges of the box plus its surface area.  Find the sum of the possible values of  $s$ .

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