
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 the origin of the rectangular coordinate system as the pole and the positive semi-axis of the x-axis as the polar axis, establish a polar coordinate system. The shortest distance from a point on the curve $$\begin{cases} x= \sqrt {7}cosφ \\ x= \sqrt {7}sinφ\end{cases}$$ (where φ is a parameter, φ∈R) to the curve ρcosθ+ρsinθ=4 (ρ, θ∈R) is ___.

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