
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 $$\begin{cases} x=4\cos\theta \\ y=3\sin\theta \end{cases}$$ (where θ is the parameter), and the polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar equation of the curve C₂ is ρsin(θ + $$\frac {π}{4}$$) = 3$$\sqrt {2}$$.

1. Find the rectangular coordinate equations of the curves C₁ and C₂.
2. If M is a point on the curve C₁ and N is a point on the curve C₂, find the minimum value of |MN|.

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