
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 rectangular coordinate system $(xOy)$, a pole coordinate system is established with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of curve $C_{1}$ is $ρ(cos θ+sin θ)=-2$, and the parameter equation of curve $C_{2}$ is $ \begin{cases} x=t^{2} \\ y=2 \sqrt {2}t \end{cases}(t$ is the parameter$). Find the rectangular coordinates of the intersection points of $C_{1}$ and $C_{2}$.

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