
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 $(1, -3)$ to $(6,5)$ can be parameterized by the equations
\[
x = mt + n, \quad
y = pt + q,
\]
where $-1 \le t \le 1$, and $t = -1$ corresponds to the point $(1, -3)$. Find $m^2 + n^2 + p^2 + q^2$.

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