
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
Given that the polar coordinate equation of curve $C\_1$ is $ρ\cos (θ- \frac{π}{3}) =-1$, and the polar coordinate equation of curve $C\_2$ is $ρ=2 \sqrt{2}\cos (θ- \frac{π}{4})$, determine the positional relationship between $C\_1$ and $C\_2$.

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