
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 rectangular coordinate system, with the coordinate origin $O$ as the pole and the non-negative semi-axis of $x$ as the polar axis, the polar coordinate system is established. It is known that the polar coordinates of point $M$ are $(4 \sqrt {2}, \frac {π}{4})$. The parametric equation of the curve $C$ is $ \begin{cases} x=1+ \sqrt {2}\cos α \\ y= \sqrt {2}\sin α\end{cases}(α$ is the parameter$).$. Find the minimum value of the distance from point $M$ to the points on the curve $C$____.

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