Binary Tree Zigzag Level Order Traversal

本文介绍了一种算法,用于实现二叉树节点值的锯齿形层序遍历。从左到右再从右到左交替进行,并提供了一个具体的示例来展示如何实现这一遍历方式。

Given a binary tree, return the zigzag level order traversal of its nodes' values. (ie, from left to right, then right to left for the next level and alternate between).

For example:
Given binary tree {3,9,20,#,#,15,7},

    3
   / \
  9  20
    /  \
   15   7

return its zigzag level order traversal as:

[
  [3],
  [20,9],
  [15,7]
]

confused what "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.

/**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
   public static List<List<Integer>> zigzagLevelOrder(TreeNode root) {
		
        LinkedList<TreeNode> stack=new LinkedList<TreeNode>();  
        LinkedList<TreeNode> curr=new LinkedList<TreeNode>();  
        List<List<Integer>> res=new ArrayList< List<Integer> >();  
        if(root==null) return res;  
        stack.add(root);  
        int flag=0;  
        while(!stack.isEmpty()){  
            curr=stack;  
            stack=new LinkedList<TreeNode>();  
            List<Integer> a=new LinkedList<Integer>();  
            while(curr.size()>0){
                
                if(flag==1){
                    TreeNode tmpNode=null;
                	tmpNode=curr.peekLast();
                	if(tmpNode.right!=null) stack.addFirst(tmpNode.right); 
                	if(tmpNode.left!=null) stack.addFirst(tmpNode.left);  
                    a.add(tmpNode.val);
                    //System.out.print("flag="+flag+" val="+tmpNode.val+" ");
                    curr.pollLast();
                }
                else if(flag==0){
                    TreeNode tmpNode=null;
                	tmpNode=curr.peekFirst();
                	if(tmpNode.left!=null) stack.addLast(tmpNode.left);  
                    if(tmpNode.right!=null) stack.addLast(tmpNode.right);  
                    //System.out.print("flag="+flag+" val="+tmpNode.val+" ");
                    a.add(tmpNode.val);
                	curr.pollFirst(); 
                }
                
            } 
            //System.out.println();
            res.add(a);
            flag=1-flag;
        }  
        return res;   
    }
}

以下是一个简单的二叉树实现的Java代码,包含了输出所有直径及其路径长度的方法: ```java public class BinaryTree<T> { private Node<T> root; // 构造函数 public BinaryTree(Node<T> root) { this.root = root; } // 节点类 private static class Node<T> { private T data; private Node<T> left; private Node<T> right; public Node(T data) { this.data = data; this.left = null; this.right = null; } } // 输出所有直径及其路径长度 public static <T> void diameterAll(BinaryTree<T> bitree) { if (bitree.root == null) { System.out.println("Binary tree is empty."); return; } List<List<Node<T>>> paths = new ArrayList<>(); List<Integer> diameters = new ArrayList<>(); findPaths(bitree.root, paths, new ArrayList<>()); calculateDiameters(bitree.root, paths, diameters); for (int i = 0; i < diameters.size(); i++) { System.out.println("Diameter: " + diameters.get(i) + ", Path: "); for (Node<T> node : paths.get(i)) { System.out.print(node.data + " "); } System.out.println(); } } // 查找所有路径 private static <T> void findPaths(Node<T> node, List<List<Node<T>>> paths, List<Node<T>> path) { if (node == null) { return; } path.add(node); if (node.left == null && node.right == null) { paths.add(new ArrayList<>(path)); } else { findPaths(node.left, paths, path); findPaths(node.right, paths, path); } path.remove(path.size() - 1); } // 计算直径 private static <T> int calculateDiameters(Node<T> node, List<List<Node<T>>> paths, List<Integer> diameters) { if (node == null) { return 0; } int leftHeight = calculateDiameters(node.left, paths, diameters); int rightHeight = calculateDiameters(node.right, paths, diameters); int diameter = leftHeight + rightHeight; diameters.add(diameter); return Math.max(leftHeight, rightHeight) + 1; } public static void main(String[] args) { // 创建二叉树示例 Node<Integer> node1 = new Node<>(1); Node<Integer> node2 = new Node<>(2); Node<Integer> node3 = new Node<>(3); Node<Integer> node4 = new Node<>(4); Node<Integer> node5 = new Node<>(5); node1.left = node2; node1.right = node3; node2.left = node4; node3.right = node5; BinaryTree<Integer> bitree = new BinaryTree<>(node1); // 输出所有直径及其路径长度 diameterAll(bitree); } } ``` 这段代码使用了二叉树的先序遍历来查找所有路径,然后计算每个路径的直径。最后,输出每个直径及其路径长度。以上是一个简单的实现,你可以根据自己的需求进行修改和扩展。
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