Encuentre el Node más profundo en un árbol binario usando la cola STL – SET 2

Dado un árbol binario. La tarea es encontrar el valor del Node más profundo en el árbol binario dado.

Ejemplos: 

Input: Root of below tree
            1
          /   \
         2      3
        / \    / \ 
       4   5  6   7
                   \
                    8
Output: 8

Input: Root of below tree
            1
          /   \
         2      3
               / 
              6  
Output: 6

Enfoque: Ya hemos discutido las dos formas diferentes de encontrar el Node más profundo en un árbol binario en esta publicación. Aquí, encontraremos el Node más profundo en el árbol utilizando una estructura de datos de cola . Primero empujaremos la raíz a la cola y luego empujaremos sus Nodes secundarios después de eliminar el Node principal de la cola. Continuaremos este proceso hasta que la cola se vacíe. El último Node de la cola es el Node más profundo del árbol binario.

A continuación se muestra la implementación del enfoque anterior: 

// C++ program to find the value of the
// deepest node in a given binary tree.
#include <bits/stdc++.h>
using namespace std;
 
// A tree node
struct Node
{
    int data;
    struct Node *left , *right;
};
 
// Utility function to create a new node
Node *newNode(int data)
{
    Node *temp = new Node;
    temp->data = data;
    temp->left = temp->right = NULL;
    return temp;
}
 
// Function to find the deepest node in a tree
int findDeepest(struct Node* root) {
 
    struct Node* temp = NULL;
     
    queue <Node *> q;
 
    if(root == NULL)
        return 0;
     
    // Push the root node
    q.push(root);
 
    while(!q.empty()) {
 
        temp = q.front();
        q.pop();
         
        // Push left child
        if(temp->left)
            q.push(temp->left);
         
        // Push right child
        if(temp->right)
            q.push(temp->right);
    }
     
    // Return the deepest node's value
    return temp->data;
}
 
// Driver code
int main()
{
    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(6);
    root->right->left->right = newNode(7);
    root->right->right->right = newNode(8);
    root->right->left->right->left = newNode(9);
     
    // Function call
    cout << findDeepest(root);
     
    return 0;
}

// Java program to find the value of the
// deepest node in a given binary tree.
import java.util.*;
 
class GFG
{
 
// A tree node
static class Node
{
    int data;
    Node left , right;
};
 
// Utility function to create a new node
static Node newNode(int data)
{
    Node temp = new Node();
    temp.data = data;
    temp.left = temp.right = null;
    return temp;
}
 
// Function to find the deepest node in a tree
static int findDeepest(Node root)
{
    Node temp = null;
     
    Queue <Node> q = new LinkedList<Node>();
 
    if(root == null)
        return 0;
     
    // Push the root node
    q.add(root);
 
    while(!q.isEmpty())
    {
        temp = q.peek();
        q.remove();
         
        // Push left child
        if(temp.left!=null)
            q.add(temp.left);
         
        // Push right child
        if(temp.right!=null)
            q.add(temp.right);
    }
     
    // Return the deepest node's value
    return temp.data;
}
 
// Driver code
public static void main(String[] args)
{
    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(6);
    root.right.left.right = newNode(7);
    root.right.right.right = newNode(8);
    root.right.left.right.left = newNode(9);
     
    // Function call
    System.out.println(findDeepest(root));
}
}
 
// This code is contributed by 29AjayKumar

# Python3 program to find the value of the
# deepest node in a given binary tree.
from collections import deque
 
# A tree node
class Node:
     
    def __init__(self, data):
         
        self.data = data
        self.left = None
        self.right = None
 
# Function to find the deepest node in a tree
def findDeepest(root: Node) -> int:
 
    temp = None
    q = deque()
 
    if (root == None):
        return 0
 
    # Push the root node
    q.append(root)
 
    while q:
        temp = q[0]
        q.popleft()
 
        # Push left child
        if (temp.left):
            q.append(temp.left)
 
        # Append right child
        if (temp.right):
            q.append(temp.right)
 
    # Return the deepest node's value
    return temp.data
 
# Driver code
if __name__ == "__main__":
 
    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(6)
    root.right.left.right = Node(7)
    root.right.right.right = Node(8)
    root.right.left.right.left = Node(9)
 
    # Function call
    print(findDeepest(root))
 
# This code is contributed by sanjeev2552

// C# program to find the value of the
// deepest node in a given binary tree.
using System;
using System.Collections.Generic;
 
class GFG
{
 
// A tree node
public class Node
{
    public int data;
    public Node left , right;
};
 
// Utility function to create a new node
static Node newNode(int data)
{
    Node temp = new Node();
    temp.data = data;
    temp.left = temp.right = null;
    return temp;
}
 
// Function to find the deepest node in a tree
static int findDeepest(Node root)
{
    Node temp = null;
     
    Queue <Node> q = new Queue <Node>();
 
    if(root == null)
        return 0;
     
    // Push the root node
    q.Enqueue(root);
 
    while(q.Count != 0)
    {
        temp = q.Peek();
        q.Dequeue();
         
        // Push left child
        if(temp.left != null)
            q.Enqueue(temp.left);
         
        // Push right child
        if(temp.right != null)
            q.Enqueue(temp.right);
    }
     
    // Return the deepest node's value
    return temp.data;
}
 
// Driver code
public static void Main(String[] args)
{
    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(6);
    root.right.left.right = newNode(7);
    root.right.right.right = newNode(8);
    root.right.left.right.left = newNode(9);
     
    // Function call
    Console.WriteLine(findDeepest(root));
}
}
     
// This code is contributed by PrinciRaj1992

<script>
 
// Javascript program to find the value of the
// deepest node in a given binary tree.
 
// A tree node
class Node
{
    constructor()
    {
        this.data = 0;
        this.left = null;
        this.right = null;
    }
};
 
// Utility function to create a new node
function newNode(data)
{
    var temp = new Node();
    temp.data = data;
    temp.left = temp.right = null;
    return temp;
}
 
// Function to find the deepest node in a tree
function findDeepest(root)
{
    var temp = null;
    var q = [];
 
    if (root == null)
        return 0;
     
    // Push the root node
    q.push(root);
 
    while (q.length != 0)
    {
        temp = q[0];
        q.shift();
         
        // Push left child
        if (temp.left != null)
            q.push(temp.left);
         
        // Push right child
        if (temp.right != null)
            q.push(temp.right);
    }
     
    // Return the deepest node's value
    return temp.data;
}
 
// Driver code
var 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(6);
root.right.left.right = newNode(7);
root.right.right.right = newNode(8);
root.right.left.right.left = newNode(9);
 
// Function call
document.write(findDeepest(root));
 
// This code is contributed by noob2000
 
</script>

Producción: 

 9

Complejidad de tiempo: O(N)