
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
Given a right conical frustum S-ABCD with all vertices on the surface of a sphere O, SD is perpendicular to the plane ABCD, the base ABCD is a trapezoid with AB parallel to CD and AB = 2AD = 2DC = 2, $$∠DAB= \frac {π}{3}$$, and SC = √2. Find the surface area of sphere O.

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