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Increase detail attribute in solver

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I'm trying to move two objects along two curves, so that the objects will collide at some point, like some kind of puzzle (wooden bead maze)

In pseudo code, this would be

init bead positions (in detail attributes a=0 b=.1 c=.2)

for each frame:

  SOP carve the curve to values a,b,c and copy the beads at those points

  some collision detection to detect which of a,b, and c can be increased to avoid collisions

   increase a,b,c  accordingly


I'm not sure how to initialize the details values using the solver..

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