From 9e9bebbb2b4f750b5b5b1ac05461c400a7a75ade Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E4=BD=95=E7=81=BF=E7=83=BD?= <7857427+he_canfeng@user.noreply.gitee.com> Date: Mon, 23 Nov 2020 22:07:47 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BD=9C=E4=B8=9A?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../BinaryNode.java" | 27 +++ .../BinarySearchTree.java" | 194 ++++++++++++++++++ .../BinaryTree.java" | 116 +++++++++++ .../Main.java" | 54 +++++ .../Node.java" | 14 ++ .../\350\277\233\351\230\266/NextNode.java" | 108 ++++++++++ 6 files changed, 513 insertions(+) create mode 100644 "\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinaryNode.java" create mode 100644 "\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinarySearchTree.java" create mode 100644 "\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/BinaryTree.java" create mode 100644 "\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Main.java" create mode 100644 "\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Node.java" create mode 100644 "\344\275\234\344\270\232/\350\277\233\351\230\266/NextNode.java" diff --git "a/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinaryNode.java" "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinaryNode.java" new file mode 100644 index 0000000..2e0893d --- /dev/null +++ "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinaryNode.java" @@ -0,0 +1,27 @@ +package BinarySearchTree; + + /*结点数据结构*/ +public class BinaryNode +{ + public T data; + public BinaryNode left; + public BinaryNode right; + + public BinaryNode(T data) { + this(data,null,null); + } + + public BinaryNode(T data, BinaryNode left, BinaryNode right) { + this.data =data; + this.left = left; + this.right =right; + } + + public BinaryNode() + { + data =null; + this.left = left; + this.right =right; + } + +} \ No newline at end of file diff --git "a/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinarySearchTree.java" "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinarySearchTree.java" new file mode 100644 index 0000000..d746116 --- /dev/null +++ "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\344\272\214\345\217\211\346\237\245\346\211\276\346\240\221/BinarySearchTree.java" @@ -0,0 +1,194 @@ +package BinarySearchTree; + +import tree.BinaryTree; //BinaryTree二叉树 +import tree.Node; //二叉树节点 + + /*实现二叉查找树*/ +public class BinarySearchTree> //Comparator比较器接口，忽略！ +{ + + + public BinaryNode rootTree; + + + /*判断是否为空*/ + public boolean isEmpty() + { + return rootTree == null; + } + + /*查找指定的元素,默认从根结点处开始查询*/ + public boolean contains(T t) + { + return contains(t, rootTree); + + } + + /*找到二叉查找树中的最小值*/ + public T findMin() + { + if(isEmpty()) + { + System.out.println("二叉树为空"); + return null; + }else + return findMin(rootTree).data; + + } + + /*找到二叉查找树中的最大值*/ + public T findMax() + { + if(isEmpty()) + { + System.out.println("二叉树为空"); + return null; + }else + return findMax(rootTree).data; + } + + /*插入元素insert*/ + public void insert(T t) + { + rootTree = insert(t, rootTree); + } + + + /*删除元素remove*/ + public void remove(T t) + { + rootTree = remove(t,rootTree); + } + + + /*从某个结点处开始查找元素contains*/ + public boolean contains(T t, BinaryNode node) + { + if(node==null) + return false; + int result = t.compareTo(node.data); + if(result>0) + return contains(t,node.right); + else if(result<0) + return contains(t, node.left); + else + return true; + } + + /*查询出最小元素所在的结点*/ + public BinaryNode findMin(BinaryNode node) + { + if(node==null) + return null; + else if(node.left==null) + return node; + return findMin(node.left); //递归查找 + } + + /*查询出最大元素所在的结点*/ + public BinaryNode findMax(BinaryNode node) + { + if(node!=null) + { + while(node.right!=null) + node=node.right; + } + return node; + } + + /*在某个位置开始判断插入元素*/ + public BinaryNode insert(T t,BinaryNode node) + { + if(node==null) + { + //新构造一个二叉查找树 + return new BinaryNode(t, null, null); + } + + int result = t.compareTo(node.data); + if(result<0) + node.left= insert(t,node.left); + else if(result>0) + node.right= insert(t,node.right); + else + ; //doNothing + return node; + } + + /*在某个位置开始判断删除某个结点*/ + public BinaryNode remove(T t,BinaryNode node){ + if(node == null) + return node; //没有找到,doNothing + int result = t.compareTo(node.data); + if(result>0) + node.right = remove(t,node.right); + else if(result<0) + node.left = remove(t,node.left); + else if(node.left!=null && node.right!=null) + { + node.data = findMin(node.right).data; + node.right = remove(node.data,node.right); + } + else + node = (node.left!=null)?node.left:node.right; //表达式 + return node; + } + + public BinaryNode init() + { + BinaryNode node3 = new BinaryNode(3); + BinaryNode node1 = new BinaryNode(1); + BinaryNode node4 = new BinaryNode(4,node3,null); //4,3,0 + BinaryNode node2 = new BinaryNode(2,node1,node4); //2,1,4,3,0 + BinaryNode node8 = new BinaryNode(8); + BinaryNode root = new BinaryNode(6,node2,node8); //6,2,1,4,3,8 + return root; + } + + public void preOrder(BinaryNode node) { //先序遍历来打印树，中.左.右 + if (node != null) { + System.out.print(node.data); + preOrder(node.left); + preOrder(node.right); + } + } + + /*测试一下代码*/ + public static void main(String args[]) { + BinarySearchTree searchTree = new BinarySearchTree<>(); + BinaryNode node= searchTree.init(); //调用BinaryNode + + searchTree.rootTree=node; + //searchTree.insert=node1; + + System.out.println("请看，这是一棵进化的原始树："); + searchTree.preOrder(searchTree.rootTree); + System.out.println(""); + + System.out.println("插入操作,插入的数字:"); + searchTree.insert(91); //插入元素91 + searchTree.preOrder(searchTree.rootTree); + System.out.println(""); + + System.out.println("删除操作,删除的数字:"); + searchTree.remove(4); //删除元素4 + searchTree.preOrder(searchTree.rootTree); + System.out.println(""); + + System.out.println("查找操作,查找的数字:"); + + searchTree.contains(6); //查找元素 + + } + +} + + + + + + + + + + diff --git "a/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/BinaryTree.java" "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/BinaryTree.java" new file mode 100644 index 0000000..55afd94 --- /dev/null +++ "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/BinaryTree.java" @@ -0,0 +1,116 @@ +package tree; +//写层序遍历 +import java.util.Queue; +import java.util.LinkedList; + +public class BinaryTree { + public Node root; + BinaryTree(){ + root= null; + } + + void insert(T val){ } + /* + 10 + 5 15 + 3 7 12 20 + preOrder: 10 5 3 7 15 12 20 + */ + + public void preOrder(){ + preOrderTraversal(root); //root指向10 + } + + public void inOrder(){ + inOrderTraversal(root); //root指向10 + } + + public void postOrder(){ + postOrderTraversal(root); //root指向10 + } + + //层次遍历 + public void level(){ + levelTraversal(root); //root指向10 + } + + //先序遍历 + private void preOrderTraversal(Node tree){ + if(tree !=null){ + //打印自身 + System.out.print(tree.value); + System.out.print(" "); + + //打印10左子树 + preOrderTraversal(tree.left); + + //打印10右子树 + preOrderTraversal(tree.right); + } + + } + + //中序遍历 + private void inOrderTraversal(Node tree){ + if(tree !=null){ + //打印10左子树 + inOrderTraversal(tree.left); + + //打印自身 + System.out.print(tree.value); + System.out.print(" "); + + //打印10右子树 + inOrderTraversal(tree.right); + } + } + + //后序遍历 + private void postOrderTraversal(Node tree){ + if(tree !=null){ + //打印10左子树 + postOrderTraversal(tree.left); + //打印10右子树 + postOrderTraversal(tree.right); + + //打印自身 + System.out.print(tree.value); + System.out.print(" "); + } + } + + + // public void inOrder(){} 中序遍历 + // public void postOrder(){}后序遍历 + // public void level(){}层序遍历 + + + /*层次遍历 2部分 + * 1.把根放到队列中， + * 2.循环直到队列为空 + * 1）把队首结点取出 + * 2）把队首结点的左右孩子取出（无得话，不插入） + */ + public static void levelTraversal(Node root){ + if(root==null){ + return; + } + + Queue queue=new LinkedList<>(); + queue.add(root); + + while(!queue.isEmpty()){ + Node front=queue.remove(); + System.out.print(front.value+" "); + + if(front.left!=null){ + queue.add(front.left); + } + if(front.right!=null){ + queue.add(front.right); + } + } + + } + +} diff --git "a/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Main.java" "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Main.java" new file mode 100644 index 0000000..61057dc --- /dev/null +++ "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Main.java" @@ -0,0 +1,54 @@ +package tree; + +class Main { + public static void main(String arg[]){ + + /* +* 10 +* 5 15 +* 3 7 12 20 +* preOrder: 10 5 3 7 15 12 20 +*/ + + BinaryTree bt=new BinaryTree(); + bt.root = new Node(10); + + Node left1=new Node(5); + bt.root.left = left1; + + Node right1=new Node(15); + bt.root.right = right1; + + Node left21=new Node(3); + left1.left = left21; + + Node left22=new Node(7); + left1.right = left22; + + Node left23 = new Node(12); + right1.left = left23; + Node left24 = new Node(20); + right1.right = left24; + + //测试前序 + System.out.print("前序遍历："); + bt.preOrder(); + System.out.println(""); + + //测试中序 + + System.out.print("中序遍历："); + bt.inOrder(); + System.out.println(""); + + //测试后序 + System.out.print("后序遍历："); + bt.postOrder(); + System.out.println(""); + + //测试层序 + System.out.print("层序遍历："); + bt.level(); + + } +} diff --git "a/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Node.java" "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Node.java" new file mode 100644 index 0000000..144e2d6 --- /dev/null +++ "b/\344\275\234\344\270\232/\345\237\272\347\241\200/\345\211\215\357\274\214\344\270\255\357\274\214\345\220\216\357\274\214\345\261\202/Node.java" @@ -0,0 +1,14 @@ +package tree; + +public class Node { + public T value; + public Node left; + public Node right; + + Node(T val){ + value = val; + left = null; + right = null; + } + +} diff --git "a/\344\275\234\344\270\232/\350\277\233\351\230\266/NextNode.java" "b/\344\275\234\344\270\232/\350\277\233\351\230\266/NextNode.java" new file mode 100644 index 0000000..3d00898 --- /dev/null +++ "b/\344\275\234\344\270\232/\350\277\233\351\230\266/NextNode.java" @@ -0,0 +1,108 @@ +package b; + /*找出二叉搜索树中指定节点的“下一个”/"前一个"节点（也即中序后继/前驱） */ + +/* + * 5 + / \ + 2 6 + / \ \ + 1 4 7 + / + 3 + */ +public class NextNode { + public static class Node { + int value; + Node parent; + Node left; + Node right; + public Node(int value) { + super(); + this.value = value; + } + } + + public static Node getSuccessNode(Node node) { + if(node == null) { + return null; + } + if(node.right != null) { + return getMostLeft(node.right); + } + else{ + Node parent = node.parent; + while (parent != null && parent.left != node) { + node = parent; + parent = node.parent; + } + return parent; + } + } + + + public static Node getMostLeft(Node head) { + if (head.left!=null) { + head = head.left; + } + return head; + } + + + public static void main(String[] args) { + + Node head = new Node(6); + head.parent = null; + + head.left = new Node(3); + head.left.parent = head; + + head.left.left = new Node(1); + head.left.left.parent = head.left; + + head.left.left.right = new Node(2); + head.left.left.right.parent = head.left.left; + + head.left.right = new Node(4); + head.left.right.parent = head.left; + + head.left.right.right = new Node(5); + head.left.right.right.parent = head.left.right; + + head.right = new Node(9); + head.right.parent = head; + + head.right.left = new Node(8); + head.right.left.parent = head.right; + + head.right.left.left = new Node(7); + head.right.left.left.parent = head.right.left; + + head.right.right = new Node(10); + head.right.right.parent = head.right; + + Node test = head.left.left; + System.out.println(test.value + " 的下一个是:" + getSuccessNode(test).value); + + test = head.left.left.right; + System.out.println(test.value + " 的下一个是: " + getSuccessNode(test).value); + + test = head.left; + System.out.println(test.value + " 的下一个是:" + getSuccessNode(test).value); + + test = head.left.right; + System.out.println(test.value + " 的下一个是: " + getSuccessNode(test).value); + + test = head.left.right.right; + System.out.println(test.value + " 的下一个是:" + getSuccessNode(test).value); + test = head; + System.out.println(test.value + " 的下一个是: " + getSuccessNode(test).value); + test = head.right.left.left; + System.out.println(test.value + " 的下一个是:" + getSuccessNode(test).value); + test = head.right.left; + System.out.println(test.value + " 的下一个是: " + getSuccessNode(test).value); + test = head.right; + System.out.println(test.value + " 的下一个是:" + getSuccessNode(test).value); + test = head.right.right; // 10's next is null + System.out.println(test.value + " 的下一个是: " + getSuccessNode(test)); + } +} \ No newline at end of file -- Gitee