
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 Cartesian coordinate system $(xOy)$, the parametric equations of curve $C\_1$ are given by $C\_1$: $ \begin{cases} x=1+\cos α \\ y=\sin α \end{cases}(α$ is the parameter $)$, and the equation of curve $C\_2$ is: $ \dfrac {x^{2}}{2}+y^{2}=1$.

1. Find the polar coordinate equations of $C\_1$ and $C\_2$ in the polar coordinate system with $O$ as the pole and the positive $x$-axis as the polar axis.
2. The ray $θ= \dfrac {π}{6}(ρ≥slant 0)$ intersects with $C\_1$ at point $A$ (excluding the pole) and with $C\_2$ at point $B$. Find the distance $|AB|$.

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