
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 a point M$(x_0, y_0)$ moves on the circle $C: x^2 + y^2 = 4$, and a point N$(4, 0)$. Let point P$(x, y)$ be the midpoint of the line segment MN,  
(Ⅰ) Find the trajectory equation of point P$(x, y)$;  
(Ⅱ) Find the maximum and minimum distances from point P$(x, y)$ to the line $3x + 4y - 26 = 0$.

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