
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 parametric equations of $C\_1$ in the rectangular coordinate system are $ \begin{cases} x= \frac{\sqrt{5}}{5}t \
y= \frac{2\sqrt{5}}{5}t - 1 \end{cases} (t \text{ is the parameter}) $, and the polar coordinate system is established with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. There is a curve $C\_2$: $ρ = 2\cos θ - 4\sin θ$.

(I) Convert the equations of $C\_1$ into a general form and find the rectangular coordinate equation of $C\_2$;

(II) Find the distance between the two intersection points of the curves $C\_1$ and $C\_2$.

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