• Skip to primary navigation
  • Skip to content
  • Skip to primary sidebar
  • Skip to secondary sidebar

GoHired

Interview Questions asked in Google, Microsoft, Amazon

Join WeekEnd Online Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

  • Home
  • Best Java Books
  • Algorithm
  • Internship
  • Certificates
  • About Us
  • Contact Us
  • Privacy Policy
  • Array
  • Stack
  • Queue
  • LinkedList
  • DP
  • Strings
  • Tree
  • Mathametical
  • Puzzles
  • Graph

Print vertical sum of all the axis in the given binary tree

July 15, 2014 by Dhaval Dave

Print Vertical Sum of all the axis in the given binary Tree.

Most of times in written test , you will encounter this very good question.
given a binary tree.
(most of times a complete binary tree with all leaf node at same height will be given)
example :

                      1 A
                    /   \
                  /       \
                 /          \
             2 B              3 C
             /  \             /   \ 
           /      \         /       \ 
         4 D       5 E    6 F       7 G

For the above tree, Vertical sum should be calculated as follows,

Line 1: 4
Line 2: 2
Line 3: 1,5,6 =12
Line 4: 3
Line 5: 7
so Code should print 4,2,12,3,7

Adapt thinking pattern.

we need H alone, B,I and J should be together and so on…
so B,J,I should have same order/numbering or something…
First thought comes that we need height of tree, from there we can have some idea.
See when we print in order..it gives
4,  2,  5,1,6,  3,  7

Hence we can adapt In-Order traversal with some clustering/numbering so that we can print total with grouping

if you take height 3, see that if we multiply it by 2 ( as we have left and right subtrees)
we get 6.
In In-Order traversal when we start from root, we pass level 8.
At every left subtree call we can reduce it by one, and at right subtree call we can increase.
and hence what we get..

Inorder : 4,  2,  5,1,6,  3,  7
level :     4,  5 , 6,6,6 , 7 , 8

Hence we concluded that  We can sum all node->data who has same level.

Code :

void Vsum(struct node *temp, int level, int count[])
{
    if(temp)
    {
        Vsum(temp->left, level-1, count);
        count[level] += temp->data;
        Vsum(temp->right, level+1, count);
    }
    return;
}

int height(struct node * root)
{
struct node *temproot = root;
int i=0,j=0;
    while(temproot->left != NULL)
    {
        i++;
        tmproot = tmproot->left;
    }
    while(temproot->right != NULL)
    {
        j++;
        tmproot = tmproot->left;
    }    
 if(i>j) return 2*i ;
 else return 2*j ;
}

Similar Articles

Filed Under: Amazon Interview Question, Flipkart Interview Questions, Interview Questions, Microsoft Interview Questions, problem Tagged With: Binary Tree, tree

Reader Interactions

Primary Sidebar

Join WeekEnd Online/Offline Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

Join WeekEnd Online/Offline Batch from 4-April-2020

WhatsApp us

Secondary Sidebar

Custom Search

  • How I cracked AMAZON
  • LeetCode
  • Adobe
  • Amazon
  • Facebook
  • Microsoft
  • Hacker Earth
  • CSE Interview

Top Rated Questions

Leetcode: Merge Intervals

DFS (Depth First Search)

Count number of ways to reach a given score in a game

Possible sizes of bus to carry n groups of friends

Subset Sum Problem Dynamic programming

Find the element that appears once others appears thrice

Maximum of all subarrays of size k

Code Chef PRGIFT Solution

Add Sub Multiply very large number stored as string

BlueStone E-commerce Interview Experience

Find the number ABCD such that when multipled by 4 gives DCBA.

Find next greater number with same set of digits

Check a String is SUBSEQUENCE of another String Find Minimum length for that ( DNA Matching )

FizzBuzz Solution C C++

Apriori algorithm C Code Data Mining

write a c program that given a set a of n numbers and another number x determines whether or not there exist two elements in s whose sum is exactly x

Python List

C Program for TAIL command of UNIX

Generate next palindrome number

Find if a binary tree is height balanced ?

SAP Off Campus Hiring_ March 2015 Verbal Skills

System Design: Designing a LLD for Hotel Booking

Wrong Directions given find minimum moves so that he can reach to the destination

Flipkart SDET Interview Experience

flattens 2 D linked list to a single sorted link list

LeetCode: Binary Tree Maximum Path Sum

C++ OOPs Part2

Linked List V/S Binary Search Tree

Templates in C++

Leetcode: Edit Distance

Copyright © 2025 · Genesis Framework · WordPress · Log in