
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 triangular pyramid $O-ABC$, where $\angle BOC=90^{\circ}$, $OA\perp$ plane $BOC$, with $AB= \sqrt {10},BC= \sqrt {13}$, $AC= \sqrt {5}$. Points $O$, $A$, $B$, $C$ are all on the surface of sphere $S$. Calculate the surface area of sphere $S$.

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