
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 rectangular coordinate system xOy, the parametric equations of the curve C₁ are given by $$\begin{cases} x=sin\theta +cos\theta \ y=sin2\theta \end{cases}$$ (θ is the parameter). If the origin O of the rectangular coordinate system is taken as the pole, and the positive semi-axis of the x-axis is taken as the polar axis to establish a polar coordinate system, the polar equation of the curve C₂ is ρsin(θ+$$\frac {π}{4}$$)=-$$\sqrt {2}$$.
(I) Find the general equation of the curve C₁ and the rectangular coordinate equation of the curve C₂;
(II) Find the minimum distance between the moving point on the curve C₁ and the moving point on the curve C₂.

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