
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 equation of curve $C_1$ is $$\begin{cases} x=\cos\alpha \\ y=1+\sin\alpha\end{cases}$$ ($\alpha$ is the parameter, $\alpha\in\mathbb{R}$). In the polar coordinate system with the origin as the pole and the non-negative half-axis of the x-axis as the polar axis, the equation of curve $C_2$ is $$\rho\sin(\theta- \frac {\pi}{4})= \sqrt {2}.$$  
(Ⅰ) Find the general equation of curve $C_1$ and the Cartesian coordinate equation of curve $C_2$;  
(Ⅱ) If curves $C_1$ and $C_2$ intersect at points A and B, find the value of $|AB|$.

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