
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 P and Q are two points on the ellipse C: $$\frac {x^{2}}{a^{2}}$$ + $$\frac {y^{2}}{b^{2}}$$ = 1 (a > b > 0) that are symmetric about the y-axis, F1(-1, 0) is the left focus of C, and |PF1| + |QF1| = 2$$\sqrt {2}$$.

1. Find the standard equation of the ellipse C.
2. A line AB with slope k (k > 0) passes through point F1 and intersects ellipse C at points A and B. The vector $$\overrightarrow {AF_{1}}$$ is equal to $$λ \overrightarrow {F_{1}B}$$, where 3 ≤ λ ≤ 2 + $$\sqrt {3}$$. Point D has coordinates (-1, -1), and the area of ∆ABD is denoted as S. Find the range of values for S.

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