package class11; import java.util.LinkedList; import java.util.Queue; import java.util.Stack; public class Code02_SerializeAndReconstructTree { /* * 二叉树可以通过先序、后序或者按层遍历的方式序列化和反序列化, * 以下代码全部实现了。 * 但是,二叉树无法通过中序遍历的方式实现序列化和反序列化 * 因为不同的两棵树,可能得到同样的中序序列,即便补了空位置也可能一样。 * 比如如下两棵树 * __2 * / * 1 * 和 * 1__ * \ * 2 * 补足空位置的中序遍历结果都是{ null, 1, null, 2, null} * * */ public static class Node { public int value; public Node left; public Node right; public Node(int data) { this.value = data; } } public static Queue preSerial(Node head) { Queue ans = new LinkedList<>(); pres(head, ans); return ans; } public static void pres(Node head, Queue ans) { if (head == null) { ans.add(null); } else { ans.add(String.valueOf(head.value)); pres(head.left, ans); pres(head.right, ans); } } public static Queue inSerial(Node head) { Queue ans = new LinkedList<>(); ins(head, ans); return ans; } public static void ins(Node head, Queue ans) { if (head == null) { ans.add(null); } else { ins(head.left, ans); ans.add(String.valueOf(head.value)); ins(head.right, ans); } } public static Queue posSerial(Node head) { Queue ans = new LinkedList<>(); poss(head, ans); return ans; } public static void poss(Node head, Queue ans) { if (head == null) { ans.add(null); } else { poss(head.left, ans); poss(head.right, ans); ans.add(String.valueOf(head.value)); } } public static Node buildByPreQueue(Queue prelist) { if (prelist == null || prelist.size() == 0) { return null; } return preb(prelist); } public static Node preb(Queue prelist) { String value = prelist.poll(); if (value == null) { return null; } Node head = new Node(Integer.valueOf(value)); head.left = preb(prelist); head.right = preb(prelist); return head; } public static Node buildByPosQueue(Queue poslist) { if (poslist == null || poslist.size() == 0) { return null; } // 左右中 -> stack(中右左) Stack stack = new Stack<>(); while (!poslist.isEmpty()) { stack.push(poslist.poll()); } return posb(stack); } public static Node posb(Stack posstack) { String value = posstack.pop(); if (value == null) { return null; } Node head = new Node(Integer.valueOf(value)); head.right = posb(posstack); head.left = posb(posstack); return head; } public static Queue levelSerial(Node head) { Queue ans = new LinkedList<>(); if (head == null) { ans.add(null); } else { ans.add(String.valueOf(head.value)); Queue queue = new LinkedList(); queue.add(head); while (!queue.isEmpty()) { head = queue.poll(); // head 父 子 if (head.left != null) { ans.add(String.valueOf(head.left.value)); queue.add(head.left); } else { ans.add(null); } if (head.right != null) { ans.add(String.valueOf(head.right.value)); queue.add(head.right); } else { ans.add(null); } } } return ans; } public static Node buildByLevelQueue(Queue levelList) { if (levelList == null || levelList.size() == 0) { return null; } Node head = generateNode(levelList.poll()); Queue queue = new LinkedList(); if (head != null) { queue.add(head); } Node node = null; while (!queue.isEmpty()) { node = queue.poll(); node.left = generateNode(levelList.poll()); node.right = generateNode(levelList.poll()); if (node.left != null) { queue.add(node.left); } if (node.right != null) { queue.add(node.right); } } return head; } public static Node generateNode(String val) { if (val == null) { return null; } return new Node(Integer.valueOf(val)); } // for test public static Node generateRandomBST(int maxLevel, int maxValue) { return generate(1, maxLevel, maxValue); } // for test public static Node generate(int level, int maxLevel, int maxValue) { if (level > maxLevel || Math.random() < 0.5) { return null; } Node head = new Node((int) (Math.random() * maxValue)); head.left = generate(level + 1, maxLevel, maxValue); head.right = generate(level + 1, maxLevel, maxValue); return head; } // for test public static boolean isSameValueStructure(Node head1, Node head2) { if (head1 == null && head2 != null) { return false; } if (head1 != null && head2 == null) { return false; } if (head1 == null && head2 == null) { return true; } if (head1.value != head2.value) { return false; } return isSameValueStructure(head1.left, head2.left) && isSameValueStructure(head1.right, head2.right); } // for test public static void printTree(Node head) { System.out.println("Binary Tree:"); printInOrder(head, 0, "H", 17); System.out.println(); } public static void printInOrder(Node head, int height, String to, int len) { if (head == null) { return; } printInOrder(head.right, height + 1, "v", len); String val = to + head.value + to; int lenM = val.length(); int lenL = (len - lenM) / 2; int lenR = len - lenM - lenL; val = getSpace(lenL) + val + getSpace(lenR); System.out.println(getSpace(height * len) + val); printInOrder(head.left, height + 1, "^", len); } public static String getSpace(int num) { String space = " "; StringBuffer buf = new StringBuffer(""); for (int i = 0; i < num; i++) { buf.append(space); } return buf.toString(); } public static void main(String[] args) { int maxLevel = 5; int maxValue = 100; int testTimes = 1000000; System.out.println("test begin"); for (int i = 0; i < testTimes; i++) { Node head = generateRandomBST(maxLevel, maxValue); Queue pre = preSerial(head); Queue pos = posSerial(head); Queue level = levelSerial(head); Node preBuild = buildByPreQueue(pre); Node posBuild = buildByPosQueue(pos); Node levelBuild = buildByLevelQueue(level); if (!isSameValueStructure(preBuild, posBuild) || !isSameValueStructure(posBuild, levelBuild)) { System.out.println("Oops!"); } } System.out.println("test finish!"); } }