
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
Given the curve $C$: 
$$
\begin{cases}
x = 2pt^2 \\
y = 2pt
\end{cases}
\qquad (t \text{ is the parameter})
$$
where $t_1$ and $t_2$ are the parameters corresponding to points A and B, respectively, and $t_1 + t_2 \neq 0$, calculate the length of segment $AB$.

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