
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 moving circle Q passes through a fixed point F(0, -1) and is tangent to the line $l: y=1$, the ellipse N has its axes of symmetry along the coordinate axes, with the origin O as its center, and F as one of its foci. Also, point A(0, 2) lies on the ellipse N.  
(Ⅰ) Find the standard equation of the trajectory M of the center Q of the moving circle and the standard equation of the ellipse N;  
(Ⅱ) If a moving line m passing through F intersects the ellipse N at points B and C, and intersects the trajectory M at points D and E, let $S_1$ be the area of $\triangle ABC$, $S_2$ be the area of $\triangle ODE$, and let $Z=S_1S_2$. Determine the range of values for Z.

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