
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
Transform the graph of the function $$f(x)= \sqrt {3}\sin( \frac {1}{4}x)\cos( \frac {1}{4}x)+\cos^{2}( \frac {1}{4}x)- \frac {1}{2}$$ by shifting it to the left by φ units (0＜φ＜π), and then compress the x-coordinates of the resulting graph by a factor of $$\frac {1}{\omega }$$ (ω＞0) while keeping the y-coordinates unchanged, to obtain the graph of the function y=g(x). Given that y=g(x) is an even function with a period of π, determine the values of ω and φ.

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