
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 the polar coordinate system, the polar equation of curve C is ρ = 2asinθ (a ≠ 0). In the rectangular coordinate system xOy with the pole as the coordinate origin and the positive semi-axis of the polar axis as the x-axis, the parametric equations of line l are $$\begin{cases} x=- \frac { \sqrt {2}}{2}t-1 \\ y= \frac { \sqrt {2}}{2}t\end{cases}$$ (t is the parameter). It is known that line l and curve C have common points. Find the range of values of the real number a.

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