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Review: Search

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Binary Search Tree A binary tree where every node's left subtree has values less than the node's value, and every right subtree has values greater. – PowerPoint PPT presentation

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Title: Review: Search


1
Review Search
  • Linear Search
  • Binary Search
  • Search demos
  • http//www.cosc.canterbury.ac.nz/people/mukundan/d
    sal/appldsal.html

2
Binary Search Tree
  • A binary tree where every node's left subtree has
    values less than the node's value, and every
    right subtree has values greater.
  • A new node is added as a leaf.
  • Check out this applet
  • http//www.cs.jhu.edu/goodrich/dsa/trees/btree.ht
    ml

3
Remove node algorithm
  • Find element
  • If it is a leaf just delete it
  • If it has one child adjust the parent to point to
    the child (thus bypassing the node)
  • If it has two children
  • Replace data with the smallest data of the right
    subtree
  • Recursively delete the node which now needs to be
    removed

4
remove
  • private BinaryNodeltAnyTypegt remove( AnyType x,
    BinaryNodeltAnyTypegt t )
  • / 1/ if( t null )
  • return t // Item not found do nothing
  • int compareResult x.compareTo( t.element )
  • / 2/ if(compareResult lt 0 )
  • t.left remove( x, t.left )
  • / 3/ else if(compareResult gt 0 )
  • t.right remove( x, t.right )
  • / 4/ else if( t.left ! null t.right ! null
    ) // Two children
  • t.element findMin( t.right ).element
  • t.right remove( t.element, t.right )
  • /567/ else
  • t ( t.left ! null ) ? t.left t.right
  • return t
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