
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
Let P and Q be points on the line $\begin{cases} x=1-t \\ y=8-2t \end{cases}$ (where t is a parameter, t∈R) and the curve $C: \begin{cases} x=1+ \sqrt {5}cosθ \\ y=-2+ \sqrt {5}sinθ\end{cases}$ (where θ is a parameter, θ∈R) respectively. The range of values for ||PQ| is _______.

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