
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 the function $f(x)= \sqrt{3} \sin (ωx+φ )(ω > 0,- \frac{π}{2} \leqslant φ < \frac{π}{2} )$, its graph is symmetric about the line $x= \frac{π}{3}$, and the distance between two adjacent highest points on the graph is $π$.

(I) Find the values of $ω$ and $φ$;

(II) If $f( \frac{α}{2} )= \frac{ \sqrt{3}}{4} ( \frac{π}{6} < α < \frac{2π}{3} )$, find the value of $\cos (α+\frac{π}{3})$.

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