// Hunter Schafer, CSE 143
// This class represents a tree of integers
public class IntTree {
   private IntTreeNode overallRoot;
   
   // Constructs a tree with default numbers
   public IntTree() {
      // overallRoot = null;
       IntTreeNode overall = new IntTreeNode(17);
       overallRoot.left = new IntTreeNode(41);
       overallRoot.right = new IntTreeNode(9);
       overallRoot.left.left = new IntTreeNode(29);
       overallRoot.left.right = new IntTreeNode(6);
       overallRoot.right.left = new IntTreeNode(81);
       overallRoot.right.right = new IntTreeNode(40); 
   }
   
   // Returns true if the given value is stored in this tree, false otherwise
   public boolean contains(int value) {
       return contains(overallRoot, value); 
   }

   // Returns true if the given value is stored in the subtree
   // rooted at the given root, false otherwise
   private boolean contains(IntTreeNode root, int value) {
       if (root == null) {
           return false; 
       } else if (root.data == value) {
           return true;
       } else {
           // not null, and root.data != value
           return contains(root.left, value) || contains(root.right, value);
       }
   }
   
   
   // prints the numbers in this tree in a pre-order fashion.
   public void print() {
      print(overallRoot);
   }
   
   // prints the numbers of the subtree rooted at root 
   // using a pre-order traversal.
   private void print(IntTreeNode root) {
      if (root != null) {
         System.out.print(root.data + " ");
         // print the left
         print(root.left); 
         // print the right
         print(root.right);     
      }
   }
   
   // Returns the number of numbers in this tree.
   public int size() {
      return size(overallRoot);
   }
   
   // Returns the number of nodes in the tree starting at root.
   private int size(IntTreeNode root) {
      if (root == null) {
         return 0;
      } else {
         int leftSize = size(root.left);
         int rightSize = size(root.right);
         return 1 + leftSize + rightSize;
      }
   }
}