
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 $xOy$, with the origin $O$ as the pole and the $Ox$ axis as the polar axis, the equation of the curve $C_1$ is given by
$$
\begin{cases}
x= \dfrac {1}{\tan φ} \\
y= \dfrac {1}{\tan^2 φ}
\end{cases}
(φ \text{ as the parameter}),
$$
and the polar equation of the curve $C_2$ is
$$ ρ(\cos θ + \sin θ) = 1.$$
If the curves $C_1$ and $C_2$ intersect at points $A$ and $B$,
(I) Find the value of $|AB|$;
(II) Calculate the product of the distances from point $M(-1,2)$ to points $A$ and $B$.

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