
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 an ellipse $\frac {y^{2}}{a^{2}}+ \frac {x^{2}}{b^{2}}=1(a>b>0)$ with eccentricity $\frac { \sqrt {2}}{2}$, and the sum of distances from any point on the ellipse to the two foci is $2 \sqrt {2}$. A line $l$ with slope $k$ ($k\neq 0$) passes through the upper focus of the ellipse and intersects the ellipse at points $P$ and $Q$. The perpendicular bisector of segment $PQ$ intersects the y-axis at point $M(0, m)$.  
(Ⅰ) Find the equation of the ellipse;  
(Ⅱ) Determine the range of values for $m$;  
(Ⅲ) Express the area of $\triangle MPQ$ in terms of $m$ and find the maximum value of the area.

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