Sum of all Nodes in a Binary Tree

April 11, 2023

Sum of all Nodes Of a Binary Tree in Java

In a Binary Tree, our aim is to find the sum of all nodes in a Binary tree.The sum of all node can be found using any traversal.Here we will be using Inorder Traversal for the same.You can do this from Pre Order or PostOrder as well.

We just need to traverse the tree and maintain a sum value and keep adding each time a new value is found.

Sum of all Nodes in a Binary Tree

Algorithm :

Create a function called calculateSum() to calculate the sum of nodes in a binary tree.
Check if the root is null (indicating an empty tree).
If the tree is not empty, traverse the left subtree and calculate the sum of nodes, storing it in a variable called sumLeft.
Traverse the right subtree and calculate the sum of nodes, storing it in a variable called sumRight.
Calculate the total sum as the sum of the root’s data, sumLeft, and sumRight.
Return the total sum as the result.

Find size of the Binary tree

Find the height of binary tree

Find maximum in binary tree

Check for Children-Sum in Binary Tree

check whether tree is Symmetric

Code in Java to find Sum of all nodes in a binary tree

Run

import java.util.*;

class Node {
    int data;
    Node left, right;

    public Node(int d) {
        data = d;
        left = right = null;
    }
    public Node() {
        data = 0;
        left = right = null;
    }
}

class BTree {
    Node root;

    /* returns sum of all nodes */
    public int sumBT(Node root) {
        if (root == null)
            return 0;
        int sum = 0;
        sum += sumBT(root.left);
        sum += root.data;
        sum += sumBT(root.right);
        return sum;
    }
}
public class Main{

    public static void main(String[] args) {
        BTree tree = new BTree();
        tree.root = new Node(10);
        tree.root.left = new Node(5);
        tree.root.right = new Node(2);
        tree.root.left.left = new Node(7);
        tree.root.left.right = new Node(5);
        tree.root.right.right = new Node(1);
        System.out.println("The sum of all nodes of tree are " + tree.sumBT(tree.root));

    }
}

Output

The sum of all nodes of tree are 30.

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Introduction to Trees

Binary Trees

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Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
Inorder Postorder PreOrder Traversals Examples
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- Preorder Tree Traversal in Binary Tree : C | C++ | Java
- Postorder Tree Traversal in Binary Tree : C | C++ | Java
Tree Traversal without Recursion
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- Preorder Tree Traversal without Recursion – C | C++ | Java
- Postorder Tree Traversal without Recursion – C | C++ | Java

Binary Search Trees

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- BST: Insertion in a Binary Search Tree : C | C++ | Java
- BST: Deletion in a Binary Search Tree : C | C++ | Java

Traversals

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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

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- B-Tree: Deletion : C | C++ | Java

AVL Trees

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- Searching in Binary Tree – C | C++ | Java
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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