樹的前序中序後序搜尋
想法
前序搜尋
目前的節點作為根節點。
先找目前的節點,是否為要搜尋的對象。
若不是,去左子樹找。
左子樹找不到,去右子樹找。
中序搜尋
先去左子樹找。
找不到就去目前的節點找。
找不到去右子樹找。
後序搜尋
先去左子樹找。
找不到去右子樹找。
找不到就去目前的節點找。
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public class TreeTraversal2 {
public static void main(String[] args) {
BinaryTree binaryTree = new BinaryTree();
Node root = binaryTree.createTree();
System.out.println("====== 前序 =======");
binaryTree.preOrder(root);
System.out.println("====== 中序 =======");
binaryTree.inOrder(root);
System.out.println("====== 後序 =======");
binaryTree.postOrder(root);
System.out.println("====== 前序搜尋 =======");
Node findNode = binaryTree.preOrderSearch(root, 5);
System.out.println(findNode);
System.out.println("====== 中序搜尋 =======");
findNode = binaryTree.inOrderSearch(root, 4);
System.out.println(findNode);
System.out.println("====== 後序搜尋 =======");
findNode = binaryTree.postOrderSearch(root, 3);
System.out.println(findNode);
}
}
class BinaryTree {
private Node root;
public BinaryTree() {
}
public BinaryTree(Node root) {
this.root = root;
}
public Node createTree() {
Node node1 = new Node(1, "Bill");
Node node2 = new Node(2, "Alice");
Node node3 = new Node(3, "Mary");
Node node4 = new Node(4, "Tom");
Node node5 = new Node(5, "Alex");
node1.left = node2;
node1.right = node3;
node3.left = node4;
node3.right = node5;
return node1;
}
public void preOrder(Node node) {
if (node == null) return;
System.out.println(node);
preOrder(node.left);
preOrder(node.right);
}
public void inOrder(Node node) {
if (node == null) return;
inOrder(node.left);
System.out.println(node);
inOrder(node.right);
}
public void postOrder(Node node) {
if (node == null) return;
postOrder(node.left);
postOrder(node.right);
System.out.println(node);
}
public Node preOrderSearch(Node node, int searchId) {
if (node == null) return null;
if (node.id == searchId) {
return node;
}
Node rtn = preOrderSearch(node.left, searchId);
if (rtn != null) {
return rtn;
}
return preOrderSearch(node.right, searchId);
}
public Node inOrderSearch(Node node, int searchId) {
if (node == null) return null;
Node rtn = inOrderSearch(node.left, searchId);
if (rtn != null) {
return rtn;
}
if (node.id == searchId) {
return node;
}
return inOrderSearch(node.right, searchId);
}
public Node postOrderSearch(Node node, int searchId) {
if (node == null) return null;
Node rtn = null;
rtn = postOrderSearch(node.left, searchId);
if (rtn != null) {
return rtn;
}
rtn = postOrderSearch(node.right, searchId);
if (rtn != null) {
return rtn;
}
if (node.id == searchId) {
rtn = node;
}
return rtn;
}
}
class Node {
Node(int id, String name) {
this.id = id;
this.name = name;
}
public int id;
public String name;
public Node left;
public Node right;
@Override
public String toString() {
return
"id=" + id +
", name=" + name ;
}
}