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Difference between odd level and even level leaf sum in given Binary Tree

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  • Difficulty Level : Easy
  • Last Updated : 03 Feb, 2022

Given a Binary Tree, the task is to find the difference of the sum of leaf nodes at the odd level and even level of the given tree.

Examples:

Input:

Output: -12
Explanation: Following are the operations performed to get the result.
odd_level_sum = 0, even_level_sum = 0
Level 1: No leaf node, so odd_level_sum = 0
Level 2: No leaf node, so even_level_sum = 0
Level 3: One leaf node: 6, so odd_level_sum = 0 + 6 = 6 
Level 4: Three leaf nodes: 9, 10, 11, so even_level_sum = 0 + 9 + 10 + 11 = 30
Level 5: One leaf node: 12, so odd_level_sum = 6 + 12 = 18
Therefore, result = odd_level_sum – even_level_sum = 18 – 30 = -12

Input:

Output: -12

Approach: The given problem can be solved by using the Level Order Traversal. Follow the steps below to solve the given problem.

  • Create a queue q, to store the node. Also, create two variables odd_level_sum and even_level_sum to store the sum of leaf nodes at the odd and even levels of the tree respectively. The other variable level keeps track of the level in the traversal.
  • Perform the level order traversal from the root node and store each node in the queue, and also check the current node for the leaf node. If it’s a leaf node then add its value in the odd_level_sum or even_level_sum by checking the level.
  • After completing the above steps, print the difference between odd_level_sum and even_level_sum.

Below is the implementation of the above approach: 

C++




// C++ program for above approach
#include <bits/stdc++.h>
using namespace std;
 
// A tree node structure
struct Node {
    int data;
    Node *left, *right;
};
 
// Utility function to create
// a new Binary Tree node
Node* newNode(int data)
{
    Node* temp = new Node;
    temp->data = data;
    temp->left = temp->right = NULL;
    return temp;
}
 
// Function to print the difference
void printDifference(Node* root)
{
    if (root == NULL) {
        cout << "No nodes present\n";
        return;
    }
 
    int odd_level_sum = 0,
        even_level_sum = 0,
        level = 1;
 
    // queue to hold tree node with level
    queue<struct Node*> q;
 
    // Root node is at level 1 so level=1
    q.push(root);
 
    // Do level Order Traversal of tree
    while (!q.empty()) {
        int n = q.size();
        while (n--) {
            Node* temp = q.front();
            q.pop();
            if (temp->left == NULL
                && temp->right == NULL) {
                if (level & 1) {
                    odd_level_sum += temp->data;
                }
                else {
                    even_level_sum += temp->data;
                }
                continue;
            }
            if (temp->left) {
                q.push(temp->left);
            }
            if (temp->right) {
                q.push(temp->right);
            }
        }
        level++;
    }
    cout << odd_level_sum - even_level_sum;
}
 
// Driver Code
int main()
{
    Node* root = newNode(1);
    root->left = newNode(2);
    root->right = newNode(3);
    root->left->left = newNode(4);
    root->left->right = newNode(5);
    root->right->left = newNode(6);
    root->right->right = newNode(7);
    root->left->left->right = newNode(8);
    root->left->right->right = newNode(9);
    root->right->right->left = newNode(10);
    root->right->right->right = newNode(11);
    root->left->left->right->right = newNode(12);
 
    printDifference(root);
 
    return 0;
}


Java




// Java program for above approach
import java.util.LinkedList;
import java.util.Queue;
 
class GFG {
 
  // A tree node structure
  static class Node {
    int data;
    Node left;
    Node right;
 
    public Node(int data) {
      this.data = data;
      this.left = null;
      this.right = null;
    }
  };
 
  // Utility function to create
  // a new Binary Tree node
  static Node Node(int data) {
    Node temp = new Node(0);
    temp.data = data;
    temp.left = temp.right = null;
    return temp;
  }
 
  // Function to print the difference
  static void printDifference(Node root) {
    if (root == null) {
      System.out.println("No nodes present");
      return;
    }
 
    int odd_level_sum = 0,
    even_level_sum = 0,
    level = 1;
 
    // queue to hold tree node with level
    Queue<Node> q = new LinkedList<Node>();
 
    // Root node is at level 1 so level=1
    q.add(root);
 
    // Do level Order Traversal of tree
    while (!q.isEmpty()) {
      int n = q.size();
      while (n-- > 0) {
        Node temp = q.peek();
        q.remove();
        if (temp.left == null
            && temp.right == null) {
          if ((level & 1) > 0) {
            odd_level_sum += temp.data;
          } else {
            even_level_sum += temp.data;
          }
          continue;
        }
        if (temp.left != null) {
          q.add(temp.left);
        }
        if (temp.right != null) {
          q.add(temp.right);
        }
      }
      level++;
    }
    System.out.println(odd_level_sum - even_level_sum);
  }
 
  // Driver Code
  public static void main(String args[]) {
    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);
    root.left.left.right = new Node(8);
    root.left.right.right = new Node(9);
    root.right.right.left = new Node(10);
    root.right.right.right = new Node(11);
    root.left.left.right.right = new Node(12);
 
    printDifference(root);
 
  }
}
 
// This code is contributed by saurabh_jaiswal.


Output

-12

Time Complexity: O(N) 
Space Complexity: O(N)


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