
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 polar coordinate system, given the circle $C$: $\rho = \cos \theta + \sin \theta$ and the line $l$: $\rho \sin \left( \theta -\frac{\pi }{4} \right)=\frac{\sqrt{2}}{2}$.

(Ⅰ) Find the Cartesian coordinate equations of circle $C$ and line $l$;

(Ⅱ) When $\rho \geqslant 0$, $\theta \in [0,2\pi )$, find the polar coordinates of the intersection points of line $l$ and circle $C$.

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