Puzzle 36 Solution - 22 pieces


My logic went like this:

  • we can shorten the run time by intercepting red after one check of the left bit to see if it points left
  • if the left bit points right, we will need to check the right bit
  • since there is a 50/50 chance that the right bit will require us to intercept a blue ball, there is no advantage to running a red ball through again
  • if the second bit points right, intercept the blue ball, else, let it drain and release the final ball that will be intercepted.