
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 points M(4, 0), N(1, 0), any point P on curve C satisfies: $$\overrightarrow {MN} \cdot \overrightarrow {MP} = 6| \overrightarrow {PN}|$$  
(Ⅰ) Find the equation of the trajectory of point P;  
(Ⅱ) A line passing through point N(1, 0) intersects curve C at points A and B, and intersects the y-axis at point H. Let $$\overrightarrow {MN} = \lambda_1 \overrightarrow {AN}$$, $$\overrightarrow {HB} = \lambda_2 \overrightarrow {BN}$$, determine whether $\lambda_1 + \lambda_2$ is a constant. If it is, find this constant; if not, explain why.

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