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 程式師世界 >> 編程語言 >> JAVA編程 >> 關於JAVA >> Java實現二叉樹的遞歸與非遞歸遍歷

Java實現二叉樹的遞歸與非遞歸遍歷

編輯:關於JAVA

構造樹如下:

其中二叉樹節點類

/** 二叉樹節點 */
public class BTNode {
   private char key;
   private BTNode left, right;
   public BTNode(char key) {
     this(key, null, null);
   }
   public BTNode(char key, BTNode left, BTNode right) {
     this.key = key;
     this.left = left;
     this.right = right;
   }
   public char getKey() {
     return key;
   }
   public void setKey(char key) {
     this.key = key;
   }
   public BTNode getLeft() {
     return left;
   }
   public void setLeft(BTNode left) {
     this.left = left;
   }
   public BTNode getRight() {
     return right;
   }
   public void setRight(BTNode right) {
     this.right = right;
   }
}

遍歷二叉樹

/** 二叉樹遍歷 */
public class BinTree {
   protected BTNode root;
   public BinTree(BTNode root) {
     this.root = root;
   }
   public BTNode getRoot() {
     return root;
   }
   /** 構造樹 */
   public static BTNode init() {
     BTNode a = new BTNode('A');
     BTNode b = new BTNode('B', null, a);
     BTNode c = new BTNode('C');
     BTNode d = new BTNode('D', b, c);
     BTNode e = new BTNode('E');
     BTNode f = new BTNode('F', e, null);
     BTNode g = new BTNode('G', null, f);
     BTNode h = new BTNode('H', d, g);
     return h;// root
   }
   /** 訪問節點 */
   public static void visit(BTNode p) {
     System.out.print(p.getKey() + " ");
   }
   /** 遞歸實現前序遍歷 */
   protected static void preorder(BTNode p) {
     if (p != null) {
       visit(p);
       preorder(p.getLeft());
       preorder(p.getRight());
     }
   }
   /** 遞歸實現中序遍歷 */
   protected static void inorder(BTNode p) {
     if (p != null) {
       inorder(p.getLeft());
       visit(p);
       inorder(p.getRight());
     }
   }
   /** 遞歸實現後序遍歷 */
   protected static void postorder(BTNode p) {
     if (p != null) {
       postorder(p.getLeft());
       postorder(p.getRight());
       visit(p);
     }
   }
   /** 非遞歸實現前序遍歷 */
   protected static void iterativePreorder(BTNode p) {
     Stack<BTNode> stack = new Stack<BTNode>();
     if (p != null) {
       stack.push(p);
       while (!stack.empty()) {
         p = stack.pop();
         visit(p);
         if (p.getRight() != null)
           stack.push(p.getRight());
         if (p.getLeft() != null)
           stack.push(p.getLeft());
       }
     }
   }
   /** 非遞歸實現後序遍歷 */
   protected static void iterativePostorder(BTNode p) {
     BTNode q = p;
     Stack<BTNode> stack = new Stack<BTNode>();
     while (p != null) {
       // 左子樹入棧
       for (; p.getLeft() != null; p = p.getLeft())
         stack.push(p);
       // 當前節點無右子或右子已經輸出
       while (p != null && (p.getRight() == null || p.getRight() == q)) {
         visit(p);
         q = p;// 記錄上一個已輸出節點
         if (stack.empty())
           return;
         p = stack.pop();
       }
       // 處理右子
       stack.push(p);
       p = p.getRight();
     }
   }
   /** 非遞歸實現中序遍歷 */
   protected static void iterativeInorder(BTNode p) {
     Stack<BTNode> stack = new Stack<BTNode>();
     while (p != null) {
       while (p != null) {
         if (p.getRight() != null)
           stack.push(p.getRight());// 當前節點右子入棧
         stack.push(p);// 當前節點入棧
         p = p.getLeft();
       }
       p = stack.pop();
       while (!stack.empty() && p.getRight() == null) {
         visit(p);
         p = stack.pop();
       }
       visit(p);
       if (!stack.empty())
         p = stack.pop();
       else
         p = null;
     }
   }
   public static void main(String[] args) {
     BinTree tree = new BinTree(init());
     System.out.print(" Pre-Order:");
     preorder(tree.getRoot());
     System.out.println();
     System.out.print(" In-Order:");
     inorder(tree.getRoot());
     System.out.println();
     System.out.print("Post-Order:");
     postorder(tree.getRoot());
     System.out.println();
     System.out.print(" Pre-Order:");
     iterativePreorder(tree.getRoot());
     System.out.println();
     System.out.print(" In-Order:");
     iterativeInorder(tree.getRoot());
     System.out.println();
     System.out.print("Post-Order:");
     iterativePostorder(tree.getRoot());
     System.out.println();
   }
}

輸出結果

Pre-Order:H D B A C G F E
  In-Order:B A D C H G E F
Post-Order:A B C D E F G H
Pre-Order:H D B A C G F E
  In-Order:B A D C H G E F
Post-Order:A B C D E F G H 

本文出自 “子 孑” 博客,請務必保留此出處 http://zhangjunhd.blog.51cto.com/113473/82616

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