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Using networkx's shortest_path_length is extremely slow for this data; the "classic" algorithm should be much faster (but the current implementation is incorrect).
I believe that the problem with the python implementation of the classic distance_map algorithm is the sorting of the partitions. The JS docs say that they should be sorted in order of length, but I think they should actually be ordered topologically. partitions_sorted should return the root-containing partition last.
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