Grasshopper

algorithmic modeling for Rhino

A fairly simple question (I think): I'm trying to determine how to best cut out some curves using (an intersection tool). The image below, red highlights indicate where I want to trim - the goal is to create a closed curve with no intersecting lines. I'm attaching the definition - any help is appreciated, thank you!

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Maybe there is another simple way of doing this,(using plug-in like "Clipper", I'm not sure,) this is one way.

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This one is the result using clipper plug-in.

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Thank you!

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