
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
An ellipse is drawn on a coordinate plane with its center at the point \((1, -3)\). The lengths of the semi-major and semi-minor axes are 7 units and 4 units, respectively. The equation of the ellipse can be represented as:
\[
\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1.
\]
Find the value of \(h + k + a + b\).

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