
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 two-dimensional rectangular coordinate system, establish a polar coordinate system with the origin as the pole and the non-negative semi-axis of the _\\(x\\)_-axis as the polar axis. The parametric equations of the line _\\(l\\)_ are: \\(\\begin{cases}x= \\dfrac{ \\sqrt{2}}{2}t \\\\ y=2+ \\dfrac{ \\sqrt{2}}{2}t\\end{cases} \\), where _\\(t\\)_ is the parameter. The polar coordinate equation of the curve _\\(C\\)_ is _\\(ρ=\\)_\\(4.\\)

1. When _\\(l\\)_'s parametric equation has _\\(t=- \\sqrt{2} \\)_, find the polar coordinates of point _\\(M\\)_ and the rectangular coordinate equation of curve _\\(C\\)_.
2. If point _\\(P(0,2)\\)_, _\\(l\\)_ intersects with curve _\\(C\\)_ at points _\\(A\\)_ and _\\(B\\)_, find \\(\\dfrac{1}{\\left| PA \\right|}+\\dfrac{1}{\\left| PB \\right|}\\).

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