14. BinarySearchTrees_outside

We store the items in an array based sequence sorted

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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
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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 visits the keys in increasing order 6 9 2 4 1 8 © 2010 Goodrich, Tamassia
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