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Puzzle 46 solution - 29 parts

The logic is the same as the book solution. The numbers under each bit show how many balls pass down that route, the letters show the final destinations of the 6 balls.

This solution moves all of the logic as far down the board as it can to increase the proportion of the route that is shared between different balls. As a result, the one-ball paths are much shorter and do not overlap, so there is also no need for the crossover piece.

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