Whenever a marble encounters a lever it causes the lever to reverse before the marble passes so the next marble will take the opposite branch.
Marble rolling toy solution.
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A toy that rolls a ball.
There are three levers in this figure let s say x1 x2 and x3 from left to right.
Enjoy the course of rolling balls by combining blocks of various colors kumikumi slope of japanese company kumon.
There are three levers in this figure let s say x1 x2 and x3 from left to right.
Whenever a marble encounters a lever it causes the lever to reverse after the marble passes so the next marble will take the opposite branch.
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Edit i see a solution here i modify my question using suggestions and that solution.
Model this toy by a finite automaton.
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Levers x 1 x 2 and x 3 cause the marble to fall either to the left or to the right.
Levers x1 x2x1 x2 and x3x3 cause the marble to fall either to the left or to the right.
For my question from this case i get the subcase.
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A marble is dropped at aa or bb.
A marble is dropped at a or b.
A marble is dropped at a or b.
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A marble is dropped at a or b.
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And the ending is 1 and x mod 4 0 or x 3 mod 4 0 x is the numbers of 0 s and 1 s.
Whenever a marble encounters a lever it causes the lever to reverse after the marble passes so the next marble will take the opposite.
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A marble rolling toy in fig 2 8 is a marble rolling toy.
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Above figure represents a marble rolling toy.
Penultimate configuration interrupts is where means or.
According that solution exist a case.