
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
In the cartesian coordinate system $(xOy)$, the parametric equations of the curves $C\_1$ and $C\_2$ are given by $\begin{cases} x=t \\ y=\sqrt{t} \end{cases}$ ($t$ is the parameter) and $\begin{cases} x=\sqrt{2}\cos \theta \\ y=\sqrt{2}\sin \theta \end{cases}$ ($\theta$ is the parameter), respectively. Find the coordinates of the intersection point(s) of the curves $C\_1$ and $C\_2$.

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