
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 curves $C_{1}$ and $C_{2}$ are given by $\begin{cases} x=\sqrt{5}\cos \theta, \\ y=\sqrt{5}\sin \theta \end{cases}\left( \left. \theta\text{ is the parameter, }0\leqslant \theta\leqslant \frac{\pi}{2} \right. \right)$ and $\begin{cases} x=1-\frac{\sqrt{2}}{2}t, \\ y=-\frac{\sqrt{2}}{2}t \end{cases}(t\text{ is the parameter})$ respectively. Find the coordinates of the intersection point(s) of curves $C_{1}$ and $C_{2}$.

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