
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 are  $N$  points on the plane such that no three of them are collinear,which are coloured red,green and black.We consider all the segments between these points and give to each segment a *"value"* according to the following conditions:**i.**If at least one of the endpoints of a segment is black then the segment's *"value"* is  $0$ .**ii.**If the endpoints of the segment have the same colour,re or green,then the segment's *"value"* is  $1$ .**iii.**If the endpoints of the segment have different colours but none of them is black,then the segment's *"value"* is  $-1$ .

Determine the minimum possible sum of the *"values"* of the segments.

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