
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
In a triangle, the distance from the circumcenter to the orthocenter is twice the distance from the circumcenter to the midpoint of one of its sides.

What is the maximum possible measure of the largest angle of the triangle?

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