
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 $(6, 9)$ can be parameterized by the equations
\begin{align*}
x &= at + b, \\
y &= ct + d,
\end{align*}
where $0 \le t \le 1,$ and $t = 0$ corresponds to the point $(1, -3).$ Calculate $(a+b) \times (c+d)$.

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