
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 that the pole of the polar coordinate system is the origin of the Cartesian coordinate system $xOy$, and the polar axis is the positive half-axis of $x$, the unit of length is the same in both coordinate systems. The Cartesian equation of circle $C$ is $x^{2}+y^{2}+2x-2y=0$, and the parametric equation of line $l$ is $\begin{cases} x=-1+t, \\ y=t \end{cases}$ (where $t$ is the parameter), the polar equation of ray $OM$ is $\theta =\dfrac{3\pi }{4}$.

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

(Ⅱ) Given that the intersection points of ray $OM$ with circle $C$ are $O$ and $P$, and the intersection point with line $l$ is $Q$, find the length of segment $PQ$.

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