Implement a binary search tree class. Each node in your implementation should have fields for a key and left and right subtrees but should not have a parent reference. The methods in the BST include i. Return the key at the root ii. Return the left subtree of the root ii. Return the right subtree of the root iv. Test if the tree is empty v. Construct an empty tree vi. Test if the tree contains a given value vii. Insert a new Integer into the BST (In the Weiss book there is an example insertion method. Your method will be similar but you must support duplicate values.) (Code of Weiss book example is below) /** * Internal method to insert into a subtree. ´ @param x the item to insert. @param t the node that roots the subtree. @return the new root of the subtree. */ private BinaryNode insert( AnyType x, BinaryNode t ) { if( t == null ) return new BinaryNode<>( x, null, null ); int compareResult = x.compare To( t.element ); if( compareResult < 0 ) t.left = insert( x, t.left ); else if( compareResult > 0) t.right = insert( x, t.right ); else ; // Duplicate; do nothing return t; }

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Implement a binary search tree class. Each node in your implementation should have fields for
a key and left and right subtrees but should not have a parent reference. The methods in the
BST include
i. Return the key at the root
ii. Return the left subtree of the root
iii. Return the right subtree of the root
iv. Test if the tree is empty
v. Construct an empty tree
vi. Test if the tree contains a given value
vii. Insert a new Integer into the BST (In the Weiss book there is an example insertion method.
Your method will be similar but you must support duplicate values.) (Code of Weiss book
example is below)
/**
* Internal method to insert into a subtree.
* @param x the item to insert.
@param t the node that roots the subtree.
* @return the new root of the subtree.
*/
private BinaryNode<AnyType> insert( AnyType x, BinaryNode<AnyType> t )
{
if( t == null )
return new BinaryNode<>( x, null, null );
int compareResult = x.compareTo( t.element );
if( compareResult < 0 )
t.left = insert( x, t.left );
else if( compareResult > 0 )
t.right = insert( x, t.right );
else
; // Duplicate; do nothing
return t;
}
Transcribed Image Text:Implement a binary search tree class. Each node in your implementation should have fields for a key and left and right subtrees but should not have a parent reference. The methods in the BST include i. Return the key at the root ii. Return the left subtree of the root iii. Return the right subtree of the root iv. Test if the tree is empty v. Construct an empty tree vi. Test if the tree contains a given value vii. Insert a new Integer into the BST (In the Weiss book there is an example insertion method. Your method will be similar but you must support duplicate values.) (Code of Weiss book example is below) /** * Internal method to insert into a subtree. * @param x the item to insert. @param t the node that roots the subtree. * @return the new root of the subtree. */ private BinaryNode<AnyType> insert( AnyType x, BinaryNode<AnyType> t ) { if( t == null ) return new BinaryNode<>( x, null, null ); int compareResult = x.compareTo( t.element ); if( compareResult < 0 ) t.left = insert( x, t.left ); else if( compareResult > 0 ) t.right = insert( x, t.right ); else ; // Duplicate; do nothing return t; }
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