
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 plane, there are eight distinct points. We will call a numbering of these points from 1 to 8 "good" if the following condition is met:

There exists a line such that all points lie on one side of this line and at different distances from it, with the distances from the points to this line increasing as the numbering increases. That is, the closest point is numbered 1, the next closest point is numbered 2, and so on.

What is the maximum number of different "good" numberings that can be obtained for the given set of eight points?

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