
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
Given the parametric equation of the line \( l \): 
\[ 
\begin{cases} 
x=-2+t\cos\alpha \\ 
y=t\sin\alpha 
\end{cases} 
\]
where \( t \) is the parameter, and a polar coordinate system is established with the origin as the pole and the positive half of the x-axis as the polar axis. The polar equation of curve C is \( \rho=2\sin\theta-2\cos\theta \).
（Ⅰ）Find the parametric equation of curve C;
（Ⅱ）When \( \alpha=\frac{\pi}{4} \), find the polar coordinates of the points of intersection between line \( l \) and curve C.

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