
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 line $l$ as $ \begin{cases} x=-10+t \\ y=t \end{cases} $ ($t$ is the parameter), establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar coordinate equation of circle $C$ is $ρ^{2}-4ρ\sin θ+2=0$.
(I) Convert the polar coordinate equation of circle $C$ to a rectangular coordinate equation.
(II) Move line $l$ to the right by $h$ units, and the resulting line $l′$ is tangent to circle $C$. Find $h$.

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