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Elliptic Curve Level Addition Query

I’m doing a faculty challenge about Bitcoin and extra particularly level addition on the Elliptic Curve. I’m very new to all this so please forgive my errors.

I’ve been studying that when including factors collectively the outcome can go “outdoors of the bounds earlier than intersecting a 3rd level” as on this picture.

That is fascinating but in addition a bit of complicated and I wish to know extra.

Is there a approach (like a Python script or one thing) that I might add 2 factors and it might inform me if the outcome went outdoors of the sector?

I do know that it nonetheless = a sound level on the curve, however I might like to know if it handed out of bounds first.

This could be improbable for my challenge to indicate others how this works.

I hope that made sense and thanks upfront in your assist.

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