
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 that the minimum positive period of the function $f(x)=\cos ^{2} \frac {ωx}{2}+ \sqrt {3}\sin \frac {ωx}{2}\cos \frac {ωx}{2}- \frac {1}{2}\ (ω > 0)$ is $π$.
(I) Find the value of $ω$ and the maximum and minimum values of the function $f(x)$;
(II) Find the monotonically increasing interval of the function $f(x)$.

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