
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 equation of curve $C_{1}$ is ${x}^{2}+{y}^{2}=2$, and the parametric equation of curve $C_{2}$ is $\begin{cases}x=2-t \\ y=t\end{cases}$ (where $t$ is the parameter). Establishing a polar coordinate system with the origin $O$ as the pole and the non-negative half-axis of $x$ as the polar axis, then the polar coordinates of the intersection point of curve $C_{1}$ and $C_{2}$ are __________.

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