二叉查找樹,又稱二叉搜索樹,又稱二叉排序樹,可以是null樹。主要思想如下,如樹的左子樹非空,則左子樹的所有節點值都小於根節點值,若樹的右子樹非空,則右子樹的所有節點值都大於根節點值。下面就基於這個思路來實現代碼了,代碼只實現了幾個簡單方法,也參考了網上一些實現代碼。
class BinarySearchTree<E extends Comparable<E>> {
Node<E> root;
int size;
static class Node<E> {
Node<E> parent;
Node<E> left;
Node<E> right;
E value;
public Node(E e, Node<E> parent, Node<E> left, Node<E> right) {
this.value = e;
this.parent = parent;
this.left = left;
this.right = right;
}
}
boolean insert(E e) {
Node<E> node = new Node<E>(e, null, null, null);
if (root == null) {
root = node;
size++;
return true;
} else {
Node<E> pointer = root;
while (true) {
// insert left
if (pointer.value.compareTo(e) > 0) {
if (pointer.left == null) {
node.parent = pointer;
pointer.left = node;
size++;
return true;
} else {
pointer = pointer.left;
}
}
// insert right
else if (pointer.value.compareTo(e) < 0) {
if (pointer.right == null) {
node.parent = pointer;
pointer.right = node;
size++;
return true;
} else {
pointer = pointer.right;
}
}
// equal return false
else {
return false;
}
}
}
}
Node<E> get(E e) {
if (e == null) {
throw new NullPointerException("e == null");
}
Node<E> cur = root;
while (cur != null) {
if (cur.value.compareTo(e) > 0) {
cur = cur.left;
}
else if (cur.value.compareTo(e) < 0) {
cur = cur.right;
}
else {
break;
}
}
return cur;
}
E getMin(Node<E> node) {
Node<E> min = getMinNode(node);
return min == null ? null : min.value;
}
Node<E> getMinNode(Node<E> node) {
Node<E> min = node;
while (min != null && min.left != null) {
min = min.left;
}
return min;
}
E getMax(Node<E> node) {
Node<E> max = getMaxNode(node);
return max == null ? null : max.value;
}
Node<E> getMaxNode(Node<E> node) {
Node<E> max = node;
while (max != null && max.right != null) {
max = max.right;
}
return max;
}
// 中序遍歷遞歸實現
void LDR(Node<E> node) {
if (node != null) {
LDR(node.left);
System.out.println(node.value.toString());
LDR(node.right);
}
}
}