常考数据结构与算法-morris遍历_后序
下图右边就是左边的树的morris序
常考数据结构与算法-morris遍历_子树_02

只要一个节点有左树,该节点一定会到达两次.

后序
常考数据结构与算法-morris遍历_子树_03

public class Code_MorrisTraversal {

    public static class Node{
        public int value;
        Node left;
        Node right;

        public Node(int data){
            this.value = data;
        }
    }

    /*
    *      4
    *   2     6
    * 1   3 5    7
    *
    */
    public static void main(String[] args) {
        Node head = new Node(4);
        head.left = new Node(2);
        head.right = new Node(6);
        head.left.left = new Node(1);
        head.left.right = new Node(3);
        head.right.left = new Node(5);
        head.right.right = new Node(7);

        morrisPre(head);
        morrisIn(head);
        morrisPos(head);
    }

    public static void process(Node node){
        if(null == node){
            return;
        }

        // 1
        process(node.left);
        // 2
        process(node.right);
        // 3
    }

    public static void morris(Node head){
        if(null == head){
            return;
        }

        Node cur = head;
        Node mostRight = null;
        while(cur != null){
            mostRight = cur.left;
            if(null != mostRight){// 如果有左子树

                while (null != mostRight.right && mostRight.right != cur){
                    mostRight = mostRight.right;
                }

                // cur左树上最右节点
                if(null == mostRight.right){
                    mostRight.right = cur;
                    cur = cur.left;
                    continue;
                }else{
                    mostRight.right = null;
                }
            }

            cur = cur.right;
        }
    }

    // 先序遍历
    public static void morrisPre(Node head){
        if(null == head){
            return;
        }

        Node cur = head;
        Node mostRight = null;
        while(cur != null){
            mostRight = cur.left;
            if(null != mostRight){// 如果有左子树

                while (null != mostRight.right && mostRight.right != cur){
                    mostRight = mostRight.right;
                }

                // cur左树上最右节点
                if(null == mostRight.right){
                    System.out.println(cur.value); // 第一次碰到该节点,打印该节点
                    mostRight.right = cur;
                    cur = cur.left;
                    continue;
                }else{
                    mostRight.right = null;
                }
            }else{
                System.out.println(cur.value);
            }

            cur = cur.right;
        }
    }

    // 中序遍历
    public static void morrisIn(Node head){
        if(null == head){
            return;
        }

        Node cur = head;
        Node mostRight = null;
        while(cur != null){
            mostRight = cur.left;
            if(null != mostRight){// 如果有左子树

                while (null != mostRight.right && mostRight.right != cur){
                    mostRight = mostRight.right;
                }

                // cur左树上最右节点
                if(null == mostRight.right){
                    mostRight.right = cur;
                    cur = cur.left;
                    continue;
                }else{
                    mostRight.right = null;
                }
            }

            System.out.println(cur.value);
            cur = cur.right;
        }
    }

    // 后序遍历
    public static void morrisPos(Node head){
        if(null == head){
            return;
        }

        Node cur = head;
        Node mostRight = null;
        while(cur != null){
            mostRight = cur.left;
            if(null != mostRight){// 如果有左子树

                while (null != mostRight.right && mostRight.right != cur){
                    mostRight = mostRight.right;
                }

                // cur左树上最右节点
                if(null == mostRight.right){
                    mostRight.right = cur;
                    cur = cur.left;
                    continue;
                }else{
                    mostRight.right = null;
                    printEdge(cur.left); // 该节点的左子数的右节点逆序
                }
            }

            cur = cur.right;
        }

        printEdge(head); // 头节点的右节点逆序
    }

    public static void printEdge(Node node){
        Node tail = reverseEdge(node);
        Node cur = tail;
        while(null != cur){
            System.out.println(cur.value+" ");
            cur = cur.right;
        }

        reverseEdge(tail);
    }

    public static Node reverseEdge(Node from){
        Node pre = null;
        Node next = null;
        while(from != null){
            next = from.right;
            from.right = pre;
            pre = from;
            from = next;
        }

        return pre;
    }
}