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Get those points

Loki is stuck in the multiverse of madness, there are many timelines, and many of them have some nexus events. He has to play his part and destroy at least $k$ of these nexus events to escape this. Loki has managed to draw all the timelines as lines in the 2-d plane with some starting and ending points to simplify the process. A nexus event is the point of intersection of any two of these lines

HINT LADDERno hints yet
L1 Observation
L2 Technique
L3 Approach
L4 Pseudo-code
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L5 Full solution
L5 unlocks only if you insist twice
solution.cppC++17

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