
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 an ellipse C: $$\frac {x^{2}}{a^{2}}$$ + $$\frac {y^{2}}{b^{2}}$$ = 1 (a > b > 0), its left focus is F, and the eccentricity is $$\frac { \sqrt {2}}{2}$$. The endpoints of the minor axis are A and B, and S<sub>△ABF</sub> = 1.
(I) Find the standard equation of ellipse C.
(II) A line l passes through point D (2, 0) and intersects ellipse C at two distinct points M and N (M is between D and N). Find the range of values for $$\frac {S_{△ODM}}{S_{\triangle ODN}}$$ (O is the origin).

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