
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 polar coordinate system, the curve \\(C\\) is given by \\(\rho=2\sqrt{2}\sin(\theta-\frac{\pi}{4})\\), and \\(P\\) is a moving point on curve \\(C\\), with a fixed point \\(Q(1, \frac{\pi}{4})\\).  
(Ⅰ) Convert the equation of curve \\(C\\) into a Cartesian coordinate equation and identify the type of curve it represents;  
(Ⅱ) Find the shortest distance between points \\(P\\) and \\(Q\\).

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