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Assignment
Create a class for a binary tree named BT. Each node in the tree should have data, a reference to the node's left sub-tree, and a reference to the node's right sub-tree. For the purposes of this project, the data in the nodes can be integers.
The binary tree should have a height property, a size property, which is the number of nodes in the tree, and the following methods:
1. a null constructor
2. a constructor that builds a tree from a specified array of integers. The tree does not need to be a balanced tree.
Note: remember to address the height and size properties when building a tree from a specified array.
1. preorder -- iterate ( list all nodes in order according to the preorder traversal of the tree)2. inorder -- iterate ( list all nodes in order according to the inorder traversal of the tree)3. postorder -- iterate ( list all nodes in order according to the postorder traversal of the tree)4. search -- given a key value, tell us whether or not the integer is in the tree.5. max -- return the maximum value in the tree6. min -- return the minimum value in the tree7. insert8. delete9. destroy
Test each method to ensure that it works properly.
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