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A factory for extending paths in a binary search tree.

<N> The type of binary search tree nodes used in the paths generated by this BstPathFactory.
<P> The type of paths constructed by this BstPathFactory.
Louis Wasserman
interface BstPathFactory<N extends BstNode<?, N>, P extends BstPath<N, P>> {
Returns this path extended by one node to the specified side.
  P extension(P pathBstSide side);

Returns the trivial path that starts at root and goes no further.
  P initialPath(N root);
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