# Binary search tree class java

There are two possibilities that work: If you want to associate data with each key, use interface Map and the corresponding class TreeMap. In the worst case a "linear" tree this is O Nwhere N is the number of nodes in the tree. Note that lookup always follows a path from the root down towards a leaf.

The key type K can be any class or interface that implements Comparablefor example. Note that more than one BST can be used to store the same set of key values. Therefore, the worst-case time is proportional to the length of the longest path from the root to a leaf the height of the tree.

Of binary search tree class java note are sizeremove keyclearand keySet. We'll arbitrarily decide to use the smallest value in the right subtree. Since all values less than the root's value are in the left subtree and all values greater than the root's value are in the right subtree, there is no point in looking in both subtrees: This depends on the "shape" of the tree. There are two possibilities that work:

You could also have a set of Integera set of Floator a set of any other type of object, so long as the type implements Comparable. The hard case is when the node to delete has two children. We can't replace node n with one of its children, binary search tree class java what would we do with the other child? The method put key, value returns the value previously associated with key if any or null if key is a new key. Which of the following binary trees are BSTs?

As mentioned above, the order in which values are inserted determines what BST is built inserting the same values in different binary search tree class java can result in different final BSTs. The following class definitions assume that the BST will store only key values, no associated data. The Java standard library has built into it an industrial-strength version of binary search trees, so if you are programming in Java and need this functionality, you would be better off using the library version rather than writing your own. The answer is easy:

See the documentation for Scanner and Pattern for more details. In these notes, we will assume that duplicates are not allowed. The key type K can be any class or interface that implements Comparablefor example.