14. BinarySearchTrees_outside

We store the items in an array based sequence sorted

Info icon This preview shows pages 4–6. Sign up to view the full content.

View Full Document Right Arrow Icon
We store the items in an array-based sequence, sorted by key We use an external comparator for the keys Performance: get floorEntry  and  ceilingEntry  take  O (log n )  time, using binary  search get  takes  O ( n )  time since in the worst case we have to shift  n / 2   items to make room for the new item erase  take  O ( n )  time since in the worst case we have to shift  n / 2   items to compact the items after the removal The lookup table is effective only for dictionaries of small size or  for dictionaries on which searches are the most common  operations, while insertions and removals are rarely performed  (e.g., credit card authorizations) ©  2010 Goodrich, Tamassia
Image of page 4

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Binary Search Trees 5 Binary Search Trees A binary search tree is  a binary tree storing  keys (or key-value  entries) at its internal  nodes and satisfying  the following property: Let  u v , and  w  be three  nodes such that  u  is in  the left subtree of  v  and  w   is in the right subtree of  v . We have  key ( u )     key ( v )   key ( w ) External nodes do not  store items An inorder traversal of a  binary search trees 
Image of page 5
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern