Complexity of IntervalTree.{begin,end} is O(1), not O(n). #40
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They call self.boundary_table.iloc[0] (resp. [-1]), and self.boundary_table is a SortedDict. SortedDict.iloc is an instance of _IlocWrapper, whose __getitem__ only does: return self._dict._list[index] _dict is the SortedDict instance, and _dict._list is an instance of SortedList. Finally, SortedList.__item__ has special cases to perform in O(1) when the index is 0 or -1. References: * https://github.com/grantjenks/sorted_containers/blob/ccec8d4/sortedcontainers/sorteddict.py#L34-L40 * https://github.com/grantjenks/sorted_containers/blob/b62fe6a/sortedcontainers/sortedlist.py#L599-L602
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They call
self.boundary_table.iloc[0](resp.[-1]), andself.boundary_tableis a SortedDict.SortedDict.ilocis an instance of_IlocWrapper, whose__getitem__only does:return self._dict._list[index]_dictis the SortedDict instance, and_dict._listis an instance ofSortedList.Finally,
SortedList.__item__has special cases to perform in O(1) when the index is 0 or -1.References: