
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 rectangular coordinate system $(xOy)$, the parametric equations of the line $C\_1$ are given by $\begin{cases} x=1+t \ y=1-t\end{cases}$ ($t$ is a parameter); Establish a polar coordinate system with $O$ as the pole and the positive semiaxis of $x$ as the polar axis. The polar equation of the curve $C\_2$ is given by $ρ=1$.
(1) Find the rectangular coordinate equation of the curve $C\_2$, explain what kind of curve it represents, and write its parametric equations;
(2) Find the minimum length of the tangent lines drawn from a point on the line $C\_1$ to the curve $C\_2$.

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