Question: Write function pathLength() for the abstract tree class AbstractTree that returns the sum of the depths of all positions in T. The implementation should be

Write function pathLength() for the abstract tree class AbstractTree that returns the sum of the depths of all positions in T. The implementation should be linear-time in runtime. Briefly state your algorithm.

You should make use of existing functions as much as possible. You can also define a private helper function if necessary.

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