Sum of all nodes in Binary Tree code in c++.
Sum of All Nodes in Binary Tree
In this article, we will learn the approach and code about how to calculate the sum of all nodes in binary tree in C++. Sum of all nodes can be easily calculated by traversing the array and simultaneously adding all the values of the nodes.
Sum of All Nodes in Binary Tree
In a Binary Tree, our aim is to find the sum of all nodes in the Binary tree.
The sum of all node can be found using any traversal.H ere we will be using pre-order Traversal for the same.
We just need to traverse the tree and maintain a sum value and keep adding each time a new value is found.
This example is a just simple extension of traversal. We will be using pre-order for implementation. However, you can try different methods also. For any doubts on Pre-order Traversal, you can refer here.
https://prepinsta.com/java-program/depth-first-traversals/
The time complexity for this in O(n)
Code Implementation for finding sum of all nodes in binary tree in C++
#include<bits/stdc++.h> using namespace std; struct Node { int val; Node *left; Node *right; Node (int x):val (x), left (NULL), right (NULL) { } }; int sumOfNodes (Node * root) { if (root == NULL) { return 0; } else { return root->val + sumOfNodes (root->left) + sumOfNodes (root->right); } } int main () { Node *root = new Node (1); root->left = new Node (2); root->right = new Node (3); root->left->left = new Node (4); root->left->right = new Node (5); root->right->left = new Node (6); root->right->right = new Node (7); int sum = sumOfNodes (root); cout << "The sum of all nodes in the binary tree is " << sum << "." << endl; return 0; }
Output:
The sum of all nodes in the binary tree is 28.
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Introduction to Trees
Binary Trees
- Binary Tree in Data Structures (Introduction)
- Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
- Inorder Postorder PreOrder Traversals Examples
- Tree Traversal without Recursion
Binary Search Trees
Traversals
- Traversal in Trees
- Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
- Tree Traversals: Depth First Search (DFS) : C | C++ | Java
- Construct a Binary Tree from Postorder and Inorder
B – Trees
AVL Trees
- AVL Trees
Complete Programs for Trees
- Depth First Traversals – C | C++ | Java
- Level Order Traversal – C | C++ | Java
- Construct Tree from given Inorder and Preorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Inorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Preorder traversal – C | C++ | Java
- Find size of the Binary tree – C | C++ | Java
- Find the height of binary tree – C | C++ | Java
- Find maximum in binary tree – C | C++ | Java
- Check whether two tree are identical- C| C++| Java
- Spiral Order traversal of Tree- C | C++| Java
- Level Order Traversal Line by Line – C | C++| Java
- Hand shaking lemma and some Impotant Tree Properties.
- Check If binary tree if Foldable or not.- C| C++| Java
- check whether tree is Symmetric – C| C++| Java.
- Check for Children-Sum in Binary Tree- C|C++| Java
- Sum of all nodes in Binary Tree- C | C++ | Java
- Lowest Common Ancestor in Binary Tree- C | C++ | Java
Introduction to Trees
Binary Trees
- Binary Tree in Data Structures (Introduction)
- Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
- Inorder Postorder PreOrder Traversals Examples
- Tree Traversal without Recursion
Binary Search Trees
Traversals
- Traversal in Trees
- Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
- Tree Traversals: Depth First Search (DFS) : C | C++ | Java
- Construct a Binary Tree from Postorder and Inorder
B – Trees
AVL Trees
- AVL Trees
Complete Programs for Trees
- Depth First Traversals – C | C++ | Java
- Level Order Traversal – C | C++ | Java
- Construct Tree from given Inorder and Preorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Inorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Preorder traversal – C | C++ | Java
- Find size of the Binary tree – C | C++ | Java
- Find the height of binary tree – C | C++ | Java
- Find maximum in binary tree – C | C++ | Java
- Check whether two tree are identical- C| C++| Java
- Spiral Order traversal of Tree- C | C++| Java
- Level Order Traversal LIne by Line – C | C++| Java
- Hand shaking lemma and some Impotant Tree Properties.
- Check If binary tree if Foldable or not.- C| C++| Java
- check whether tree is Symmetric C| C++| Java.
- Check for Children-Sum in Binary Tree- C|C++| Java
- Sum of all nodes in Binary Tree- C | C++ | Java
- Lowest Common Ancestor in Binary Tree. C | C++ | Java
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