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📜  从左到右打印二叉树的所有叶节点

📅  最后修改于: 2021-04-27 21:37:56             🧑  作者: Mango

给定一个二叉树,我们需要编写一个程序从左到右打印给定二叉树的所有叶节点。也就是说,节点应按照它们在给定树中从左到右出现的顺序打印。

例如,

对于上面的二叉树,输出将如下所示:

4 6 7 9 10

执行此操作的想法类似于DFS算法。以下是执行此操作的分步算法:

  1. 检查给定节点是否为空。如果为null,则从函数返回。
  2. 检查它是否是叶节点。如果该节点是叶节点,则打印其数据。
  3. 如果在上述步骤中该节点不是叶节点,则检查该节点的左右子节点是否存在。如果是,则递归调用该节点左右子节点的函数。

下面是上述方法的实现。

C++
/* C++ program to print leaf nodes from left
   to right */
#include 
using namespace std;
  
// A Binary Tree Node
struct Node
{
    int data;
    struct Node *left, *right;
};
 
// function to print leaf
// nodes from left to right
void printLeafNodes(Node *root)
{
    // if node is null, return
    if (!root)
        return;
     
    // if node is leaf node, print its data   
    if (!root->left && !root->right)
    {
        cout << root->data << " ";
        return;
    }
 
    // if left child exists, check for leaf
    // recursively
    if (root->left)
       printLeafNodes(root->left);
         
    // if right child exists, check for leaf
    // recursively
    if (root->right)
       printLeafNodes(root->right);
}
 
// Utility function to create a new tree node
Node* newNode(int data)
{
    Node *temp = new Node;
    temp->data = data;
    temp->left = temp->right = NULL;
    return temp;
}
  
// Driver program to test above functions
int main()
{
    // Let us create binary tree shown in
    // above diagram
    Node *root = newNode(1);
    root->left = newNode(2);
    root->right = newNode(3);
    root->left->left = newNode(4);
    root->right->left = newNode(5);
    root->right->right = newNode(8);
    root->right->left->left = newNode(6);
    root->right->left->right = newNode(7);
    root->right->right->left = newNode(9);
    root->right->right->right = newNode(10);
  
    // print leaf nodes of the given tree
    printLeafNodes(root);
     
    return 0;
}


Java
// Java program to print leaf nodes
// from left to right
import java.util.*;
   
class GFG{
      
// A Binary Tree Node
static class Node
{
    public int data;
    public Node left, right;
};
  
// Function to print leaf
// nodes from left to right
static void printLeafNodes(Node root)
{
      
    // If node is null, return
    if (root == null)
        return;
      
    // If node is leaf node, print its data    
    if (root.left == null &&
        root.right == null)
    {
        System.out.print(root.data + " ");
        return;
    }
      
    // If left child exists, check for leaf
    // recursively
    if (root.left != null)
        printLeafNodes(root.left);
          
    // If right child exists, check for leaf
    // recursively
    if (root.right != null)
        printLeafNodes(root.right);
}
  
// Utility function to create a new tree node
static Node newNode(int data)
{
    Node temp = new Node();
    temp.data = data;
    temp.left = null;
    temp.right = null;
    return temp;
}
  
// Driver code
public static void main(String []args)
{
      
    // Let us create binary tree shown in
    // above diagram
    Node root = newNode(1);
    root.left = newNode(2);
    root.right = newNode(3);
    root.left.left = newNode(4);
    root.right.left = newNode(5);
    root.right.right = newNode(8);
    root.right.left.left = newNode(6);
    root.right.left.right = newNode(7);
    root.right.right.left = newNode(9);
    root.right.right.right = newNode(10);
  
    // Print leaf nodes of the given tree
    printLeafNodes(root);
}
}
 
// This code is contributed by pratham76


Python3
# Python3 program to print
# leaf nodes from left to right
 
# Binary tree node
class Node:
   
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None
 
# Function to print leaf
# nodes from left to right
def printLeafNodes(root: Node) -> None:
 
    # If node is null, return
    if (not root):
        return
 
    # If node is leaf node,
    # print its data
    if (not root.left and
        not root.right):
        print(root.data,
              end = " ")
        return
 
    # If left child exists,
    # check for leaf recursively
    if root.left:
        printLeafNodes(root.left)
 
    # If right child exists,
    # check for leaf recursively
    if root.right:
        printLeafNodes(root.right)
 
# Driver Code
if __name__ == "__main__":
 
    # Let us create binary tree shown in
    # above diagram
    root = Node(1)
    root.left = Node(2)
    root.right = Node(3)
    root.left.left = Node(4)
    root.right.left = Node(5)
    root.right.right = Node(8)
    root.right.left.left = Node(6)
    root.right.left.right = Node(7)
    root.right.right.left = Node(9)
    root.right.right.right = Node(10)
 
    # print leaf nodes of the given tree
    printLeafNodes(root)
 
# This code is contributed by sanjeev2552


C#
// C# program to print leaf nodes
// from left to right
using System;
  
class GFG{
     
// A Binary Tree Node
class Node
{
    public int data;
    public Node left, right;
};
 
// Function to print leaf
// nodes from left to right
static void printLeafNodes(Node root)
{
     
    // If node is null, return
    if (root == null)
        return;
     
    // If node is leaf node, print its data    
    if (root.left == null &&
        root.right == null)
    {
        Console.Write(root.data + " ");
        return;
    }
     
    // If left child exists, check for leaf
    // recursively
    if (root.left != null)
        printLeafNodes(root.left);
         
    // If right child exists, check for leaf
    // recursively
    if (root.right != null)
        printLeafNodes(root.right);
}
 
// Utility function to create a new tree node
static Node newNode(int data)
{
    Node temp = new Node();
    temp.data = data;
    temp.left = null;
    temp.right = null;
    return temp;
}
 
// Driver code
public static void Main()
{
     
    // Let us create binary tree shown in
    // above diagram
    Node root = newNode(1);
    root.left = newNode(2);
    root.right = newNode(3);
    root.left.left = newNode(4);
    root.right.left = newNode(5);
    root.right.right = newNode(8);
    root.right.left.left = newNode(6);
    root.right.left.right = newNode(7);
    root.right.right.left = newNode(9);
    root.right.right.right = newNode(10);
 
    // Print leaf nodes of the given tree
    printLeafNodes(root);
}
}
 
// This code is contributed by rutvik_56


输出:

4 6 7 9 10

时间复杂度:O(n),其中n是二叉树中的节点数。