
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 the ellipse is given by
\[\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{c^2} = 1.\]
An ellipse has a center at \((-3, 1)\), a horizontal semi-major axis of length 4, and a vertical semi-minor axis of length 2. Calculate \(h + k + a + c.\)

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