
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, respectively, by
$$
\begin{cases}
x= \sqrt{5}\cos\theta \\
y= \sqrt{5}\sin\theta
\end{cases}
\quad (\theta \text{ is the parameter, } 0 \leq \theta \leq \frac{\pi}{2})
$$
and
$$
\begin{cases}
x=1- \frac{\sqrt{2}}{2}t \\
y=- \frac{\sqrt{2}}{2}t
\end{cases}
\quad (t \text{ is the parameter}),
$$
then the coordinates of the intersection point of curves $C_1$ and $C_2$ are ________.

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