private int internalPathLength(BinaryNode<AnyType> root, int curLevel) {
if (root == null) {
return 0;
}
if ((root.getLeft() == null) && (root.getRight() == null)) {
return 0;
}
return curLevel
+ internalPathLength(root.getLeft(), curLevel + 1)
+ internalPathLength(root.getRight(), curLevel + 1);
}
private T findMax(BinaryNode<T> root) {
if (isEmpty()) {
return null;
} else {
BinaryNode<T> traverse = root;
while (true) {
if (traverse.getRight() == null) break;
else traverse = traverse.getRight();
}
return traverse.getData();
}
}
private int externalNodeCount(BinaryNode root) {
// BinaryNode left = root.getLeft();
// BinaryNode right = root.getRight();
if (root == null) {
return 0;
} else if ((root.getLeft() == null) && (root.getRight() == null)) {
return 1;
} else {
return externalNodeCount(root.getRight()) + externalNodeCount(root.getLeft());
}
}
public static void levelorderTraverse(BinaryNode<?> n) {
Queue<BinaryNode<?>> nodequeue = new LinkedList<BinaryNode<?>>();
if (n != null) nodequeue.add(n);
while (!nodequeue.isEmpty()) {
BinaryNode<?> next = nodequeue.remove();
System.out.print(next.getData() + " \n");
if (next.getLeft() != null) {
nodequeue.add(next.getLeft());
}
if (next.getRight() != null) {
nodequeue.add(next.getRight());
}
}
}
protected Value get(final BinaryNode<Key, Value> node, final Key key) {
if (node == null) return null;
final int compare = node.compareTo(key);
if (compare == 0) return node.getValue();
if (compare > 0) return get(node.getLeft(), key);
return get(node.getRight(), key);
}
public void inorder(BinaryNode root) {
if (root != null) {
inorder(root.getLeft());
System.out.print(root.data + " ");
inorder(root.getRight());
}
}
/**
* Prepare the next level of nodes.
*
* @param level the current level
* @param levelNodes the current level of nodes
* @return the next level of nodes.
*/
private BinaryNode<Integer>[] nextLevel(int level, BinaryNode<Integer> levelNodes[]) {
BinaryNode<Integer> nextLevel[] =
(BinaryNode<Integer>[]) new BinaryNode[POWERS_OF_2[level + 1]];
for (int i = 0; i < POWERS_OF_2[level]; i++) {
BinaryNode<Integer> node = levelNodes[i];
// Queue the left child nodes of each non-null parent node.
nextLevel[2 * i] = (node != null) && (node.getLeft() != null) ? node.getLeft() : null;
// Queue the right child nodes of each non-null parent node.
nextLevel[2 * i + 1] = (node != null) && (node.getRight() != null) ? node.getRight() : null;
}
return nextLevel;
}
/**
* Print the connecting dashes between an outgoing pointer and an incoming pointer.
*
* @param level the current level
* @param offset the current offset
* @param levelNodes the current level of nodes
*/
private void printConnectingDashes(int level, int offset, BinaryNode<Integer> levelNodes[]) {
if (offset > 1) printSpaces(offset);
int k = POWERS_OF_2[level];
for (int i = 0; i < k; i++) {
BinaryNode<Integer> node = levelNodes[i];
// Has left child: print dashes
if ((node != null) && (node.getLeft() != null)) {
printSpaces(3);
printDashes(offset - 1);
}
// No left child: print spaces
else {
printSpaces(offset + 2);
}
// Has right child: print dashes
if ((node != null) && (node.getRight() != null)) {
printSpaces(2);
printDashes(offset - 1);
}
// No right child: print spaces
else {
printSpaces(offset + 1);
}
// Space over to the next node in this level.
if (i < k - 1) printSpaces(2 * offset + 1);
}
System.out.println();
}
/**
* Print incoming pointers / or \ to each non-null child node.
*
* @param level the current level
* @param offset the current offset
* @param levelNodes the current level of nodes
*/
private void printIncomingPointers(int level, int offset, BinaryNode<Integer> levelNodes[]) {
printSpaces(offset);
int k = POWERS_OF_2[level];
for (int i = 0; i < k; i++) {
BinaryNode<Integer> node = levelNodes[i];
// Left child: print /
if ((node != null) && (node.getLeft() != null)) {
System.out.print(" /");
}
// No left child: print spaces
else {
printSpaces(3);
}
// Right child: print \
if ((node != null) && (node.getRight() != null)) {
printSpaces(2 * offset);
System.out.print("\\");
}
// No right child: print spaces
else {
printSpaces(2 * offset + 1);
}
// Space over to the next node in this level.
if (i < k - 1) printSpaces(2 * offset);
}
System.out.println();
}
public void postorder(BinaryNode root) {
if (root == null) {
return;
}
postorder(root.getLeft());
postorder(root.getRight());
System.out.print(root.data + " ");
}
public int getMax(BinaryNode root, int current) {
if (root != null) {
if ((Integer) root.data >= (Integer) current) {
current = (Integer) root.data;
}
current = getMax(root.getRight(), current);
}
return current;
}
protected BinaryNode<T> remove(T value, BinaryNode<T> root) {
if (root == null) {
return null;
}
int compareResult = value.compareTo(root.getData());
if (compareResult < 0) {
root.setLeft(remove(value, root.getLeft()));
} else if (compareResult > 0) {
root.setRight(remove(value, root.getRight()));
} else if (root.getLeft() != null && root.getRight() != null) {
root.setData(findMin(root.getRight()));
root.setRight(remove(root.getData(), root.getRight()));
} else {
root = root.getLeft() != null ? root.getLeft() : root.getRight();
}
return root;
}
protected BinaryNode<Key, Value> put(
final BinaryNode<Key, Value> node, final Key key, final Value value) {
if (node == null) {
++size;
return new BinaryNode<>(key, value);
}
final int compare = node.compareTo(key);
if (compare > 0) node.setLeft(put(node.getLeft(), key, value));
else if (compare < 0) node.setRight(put(node.getRight(), key, value));
else node.setValue(value);
return node;
}
private BinaryNode<T> contains(T value, BinaryNode<T> root) {
if (root == null) {
return null;
}
int compareResult = value.compareTo(root.getData());
if (compareResult < 0) {
return contains(value, root.getLeft()); // Value is less than, look in left subtree
} else if (compareResult > 0) {
return contains(value, root.getRight()); // Value is greater than, look in right subtree
} else {
return root; // Found a match, return that node
}
}
protected BinaryNode<T> insert(T value, BinaryNode<T> root) {
if (root == null) {
return new BinaryNode<T>(value, null, null, 0);
}
int compareResult = value.compareTo(root.getData());
if (compareResult < 0) {
root.setLeft(insert(value, root.getLeft()));
} else if (compareResult > 0) {
root.setRight(insert(value, root.getRight()));
} else {; // Duplicate - do nothing
}
return root;
}
private int countElements(BinaryNode root) {
BinaryNode duplicate = root.getDuplicate();
BinaryNode right = root.getRight();
BinaryNode left = root.getLeft();
int c = 1;
if (duplicate != null) {
c += countElements(duplicate);
}
if (right != null) {
c += countElements(right);
}
if (left != null) {
c += countElements(left);
}
return c;
}
protected int height(BinaryNode<T> root) {
if (root == null) return -1;
return Math.max(height(root.getLeft()), height(root.getRight())) + 1;
}