
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
If a rectangular solid with a volume of 4 has one face with an area of 1 and all 8 vertices of the solid lie on the surface of sphere O, determine the minimum surface area of sphere O.

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