
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 line segment connecting \((1, -3)\) and \((-4, 5)\) can be parameterized by the equations
\[
x = pt + q, \quad y = rt + s,
\]
where \(0 \le t \le 1\), and \(t = 0\) corresponds to the point \((1, -3)\). Find \(p^2 + q^2 + r^2 + s^2\).

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