Lecture 15

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Unformatted text preview: 10/21/10 CPSC 223 Algorithms & Data Abstract Structures Lecture 15: Binary Search Tree Deletion (cont.), Treesort, and Heaps Today … •  Assignments –  Assignment 6 due (don’t forget about the destructor!) –  Assignment 7 •  Binary Search Tree Deletion (cont.) •  Treesort [pp. 568-569] •  Heaps (if time) [Sect. 11.2] CPSC 223  ­ ­ Fall 2010 2 1 10/21/10 Binary Search Tree Deletion CPSC 223  ­ ­ Fall 2010 3 Removing (Deleting) Nodes •  Removing nodes is where things get tricky … •  If we could restrict remove to just leaf nodes it would be easy •  For general removal, we need to consider some special cases … CPSC 223  ­ ­ Fall 2010 4 2 10/21/10 Removing Nodes Cases to consider … –  The tree is empty! –  The item to be removed is not in the tree –  The node containing the item is a leaf node –  The node containing the item has one child –  The node containing the item has two children CPSC 223  ­ ­ Fall 2010 5 Removing Nodes •  To remove a leaf node –  We delete the node –  And set the left or right pointer in the parent to NULL •  To remove a node with one child –  The parent of the node to be deleted “adopts” the child B Remove A C B A A C C Remove A C B B CPSC 223  ­ ­ Fall 2010 6 3 10/21/10 Removing Nodes •  Hardest Case: Remove a node with two children –  Both children cannot be “adopted” by the parent D D Remove B ? B A C A C CPSC 223  ­ ­ Fall 2010 7 Removing Nodes •  To remove a node with two children –  one solution is to not delete the node … –  a...
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