
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 $\triangle ABC$, $BC=2 \sqrt {2}$, $AC=2$, and $\cos (A+B)=- \dfrac { \sqrt {2}}{2}$.
(I) Find the length of $AB$;
(II) If $f(x)=\sin (2x+C)$, find the minimum distance between the adjacent intersection points of $y=f(x)$ and the line $y= \dfrac { \sqrt {3}}{2}$.

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