來看一個具體的習題實踐:
題目
根據二叉樹前序遍歷序列例如:7,-7,8,#,#,-3,6,#,9,#,#,#,-5,#,#,構建二叉樹,並且用前序、中序、後序進行遍歷
代碼
import java.util.Scanner; public class BinaryTree { public static String[] str; public static int count; /** * 靜態內部類,定義二叉樹節點*/ static class TreeNode { public String data; TreeNode lchild; TreeNode rchild; public TreeNode(String x) { this.data = x; } } /** * 根據前序序列遞歸構建二叉樹* * @return */ public static TreeNode createBtree() { TreeNode root = null; if (count >= str .length || str[count++].equals("#")) { root = null; } else { root = new TreeNode(str[count - 1]); root.lchild = createBtree(); root.rchild = createBtree (); } return root; } /** * 前序遍歷* * @param root */ public static void preTraverse(TreeNode root) { if (root != null) { System.out.print(root.data + " "); preTraverse(root.lchild); preTraverse(root.rchild); } } /** * 中序遍歷* * @param root */ public static void inTraverse(TreeNode root) { if (root != null) { inTraverse(root.lchild); System.out.print(root.data + " "); inTraverse(root.rchild); } } /** * 後序遍歷* * @param root */ public static void postTraverse(TreeNode root) { if (root != null) { postTraverse(root.lchild); postTraverse(root.rchild); System.out.print(root.data + " "); } } public static void main(String args[] ) { Scanner cin = new Scanner(System.in); while (cin.hasNext()) { String s = cin.nextLine(); str = s.split(","); count = 0; TreeNode root = createBtree (); // 前序遍歷preTraverse(root); System.out.println(); // 中序遍歷inTraverse(root); System.out.println(); // 後序遍歷postTraverse(root); System .out.println(); } } }
二叉樹的深度
下面是是實現二叉樹的遞歸算法的實現,其思想就是,若為空,則其深度為0,否則,其深度等於左子樹和右子樹的深度的最大值加1:
class Node{ String name; Node left; Node right; public Node(String name) { this.name = name; } @Override public String toString() { return name; }}//定義二叉樹class BinaryTree{ Node root; public BinaryTree(){ root = null; } //為了方便起見,我就直接寫個初始化的二叉樹,詳細的可以見以前的日誌public void initTree(){ Node node1 = new Node("a"); Node node2 = new Node("b"); Node node3 = new Node("c"); Node node4 = new Node("d"); Node node5 = new Node("e"); root = node1; node1.left = node2; node2.right = node3; node1.right = node4; node3.left = node5; } //求二叉樹的深度int length(Node root){ int depth1; int depth2; if(root == null) return 0; //左子樹的深度depth1 = length(root.right); //右子樹的深度depth2 = length(root.left); if(depth1>depth2) return depth1+1; else return depth2+1; } }public class TestMatch{ public static void main(String[] args) { BinaryTree tree = new BinaryTree(); tree.initTree(); System.out.println(tree.length(tree.root)); }}