
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 triangle ABC, the lengths of the sides opposite to angles A, B, C are a, b, c respectively, and $acosB= \frac{1}{2}b+c$.
(I) Find the measure of angle A;
(II) Let R be the radius of the circumcircle of triangle ABC, find the value of $\frac{b^{2}+c^{2}+bc}{4R^{2}}$.

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