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Iterative program to count leaf nodes in a Binary Tree

Given a binary tree, count leaves in the tree without using recursion. A node is a leaf node if both left and right children of it are NULL.

  Example Tree  
 
Leaves count for the above tree is 3.



The idea is to use level order traversal. During traversal, if we find a node whose left and right children are NULL, we increment count.

C++

// C++ program to count leaf nodes in a Binary Tree
#include <bits/stdc++.h>
using namespace std;
  
/* A binary tree Node has data, pointer to left
   child  and a pointer to right child */
struct Node
{
    int data;
    struct Node* left, *right;
};
  
/* Function to get the count of leaf Nodes in
   a binary tree*/
unsigned int getLeafCount(struct Node* node)
{
    // If tree is empty
    if (!node)
        return 0;
  
    // Initialize empty queue.
    queue<Node *> q;
  
    // Do level order traversal starting from root
    int count = 0; // Initialize count of leaves
    q.push(node);
    while (!q.empty())
    {
        struct Node *temp = q.front();
        q.pop();
  
        if (temp->left != NULL)
            q.push(temp->left);
        if (temp->right != NULL)
            q.push(temp->right);
        if (temp->left == NULL && temp->right == NULL)
            count++;
    }
    return count;
}
  
/* Helper function that allocates a new Node with the
   given data and NULL left and right pointers. */
struct Node* newNode(int data)
{
    struct Node* node = new Node;
    node->data = data;
    node->left = node->right = NULL;
    return (node);
}
  
/* Driver program to test above functions*/
int main()
{
    /*   1
        
      2     3
     /
    4   5
    Let us create Binary Tree shown in 
    above example */
  
    struct Node *root = newNode(1);
    root->left        = newNode(2);
    root->right       = newNode(3);
    root->left->left  = newNode(4);
    root->left->right = newNode(5);
  
    /* get leaf count of the above created tree */
    cout << getLeafCount(root);
  
    return 0;
}

Python3

# Python3 program to count leaf nodes 
# in a Binary Tree 
from queue import Queue 
  
# Helper function that allocates a new 
# Node with the given data and None 
# left and right pointers. 
class newNode:
    def __init__(self, data):
        self.data = data 
        self.left = self.right = None
          
# Function to get the count of leaf 
# Nodes in a binary tree
def getLeafCount(node):
      
    # If tree is empty 
    if (not node):
        return 0
  
    # Initialize empty queue. 
    q = Queue()
  
    # Do level order traversal 
    # starting from root 
    count = 0 # Initialize count of leaves 
    q.put(node) 
    while (not q.empty()):
        temp = q.queue[0
        q.get()
  
        if (temp.left != None):
            q.put(temp.left) 
        if (temp.right != None):
            q.put(temp.right) 
        if (temp.left == None and
            temp.right == None): 
            count += 1
    return count
  
# Driver Code
if __name__ == '__main__':
      
    # 1 
    # /  
    # 2 3 
    # /  
    # 4 5 
    # Let us create Binary Tree shown 
    # in above example 
    root = newNode(1
    root.left = newNode(2
    root.right = newNode(3
    root.left.left = newNode(4
    root.left.right = newNode(5
  
    # get leaf count of the above 
    # created tree 
    print(getLeafCount(root))
  
# This code is contributed by PranchalK


Output:

 3

Time Complexity: O(n)

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.



This article is attributed to GeeksforGeeks.org

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