
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
The equation of an ellipse, rotated 90 degrees around its center, can be written as 
\[\frac{(y - h')^2}{a'^2} + \frac{(x - k')^2}{b'^2} = 1.\]
Given that the center of the ellipse is at $(3, -5)$, the semi-major axis is 4, and the semi-minor axis is 2, find the sum $h' + k' + a' + b'$.

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