Sum of All Nodes In Binary Tree In C

March 15, 2023

Sum of all nodes in Binary Tree

Here, in this page we will write a C program to find the sum of all nodes in the given binary tree.

First, we will traverse through the left sub-tree and calculate the sum of nodes present in the left sub-tree. Similarly, we calculate the sum of nodes present in the right sub-tree and calculate total sum by adding the root’s data.

Sum of All Nodes In Binary Tree

Algorithm :

Create a function say, calculateSum() that will calculate the sum of nodes present in the binary tree.
It checks whether the root is null, which means that the tree is empty.
If the tree is not empty, traverse through left subtree, calculate the sum of nodes and store it in variable say, sumLeft.
Then, traverse through the right subtree, calculate the sum of nodes and store it in variable say, sumRight.
Finally, calculate total sum = root->data + sumLeft + sumRight.

Check whether two tree are identical

Spiral Order traversal of Tree

Check If binary tree if Foldable or not

Check for Children-Sum in Binary Tree

Lowest Common Ancestor in Binary Tree

Code in C based on above approach

Run

#include <stdio.h>
#include <stdlib.h>

struct node
{
  int data;
  struct node *left;
  struct node *right;
};

struct node *root = NULL;

struct node *createNode (int data)
{
  struct node *newNode = (struct node *) malloc (sizeof (struct node));
  newNode->data = data;
  newNode->left = NULL;
  newNode->right = NULL;
  return newNode;
}

int calculateSum (struct node *temp)
{
  int sum, sumLeft, sumRight;
  sum = sumRight = sumLeft = 0;

  if (root == NULL)
    {
      printf ("Tree is empty\n");
      return 0;
    }
  else
    {
      if (temp->left != NULL)
	sumLeft = calculateSum (temp->left);
      if (temp->right != NULL)
	sumRight = calculateSum (temp->right);

      sum = temp->data + sumLeft + sumRight;
      return sum;
    }
}

int main ()
{
  root = createNode (10);
  root->left = createNode (20);
  root->right = createNode (30);
  root->left->left = createNode (40);
  root->right->left = createNode (50);
  root->right->right = createNode (60);

  printf ("Sum of all nodes of binary tree: %d", calculateSum (root));
  return 0;
}

Output:

Sum of all nodes of binary tree: 210

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