Jun 102017

Binary tree is a specialization of Graph data structure. Node in a Graph is called a Vertex and the connection between two vertices is called an Edge.

If we use this terminology, A Binary tree edge is only from a parent to its (at the most two) children.  In Graph, any vertex (Node) can connect to any vertex and there is no limit on the number of vertices that a vertex can connect to. The connection can be uni-directional (as in Binary trees) or bi-directional. When connections are uni-directional the edge is called directed edge and graph is called directed graph. When connections are bi-directional, edge is called un-directed edge and graph is called undirected graph. Because of these connections, there is no hierarchy among the vertices of a Graph. Continue reading »

May 122017

This question is from exercise in my book Dynamic Programming for Coding Interviews (Question: 1.2, Page-5)

Question: Given an array, arr of integers, write a recursive function that add sum of all the previous numbers to each index of the array. For example, if the input array is

{1, 2, 3, 4, 5, 6}

then your function should update the array to

{1, 3, 6, 10, 15, 21}

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May 042017

Given two sorted arrays of size m and n respectively. Also given an empty third array of size (m+n). write code to merge the two arrays and store the result in the third array.

          a = {1, 4, 5, 9}
          b = {0, 2, 3, 7, 15, 29}
          c = {0, 1, 2, 3, 4, 5, 7, 9, 15, 29}

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May 032017

The structure of Node of a Binary Tree and Doubly linked list are same.

struct Node
   int data;
   Node* left;
   Node* right; 

 Structure of Node of a Binary Tree    

struct Node
   int data;
   Node* previous;
   Node* next; 

  Structure of Node of a Doubly linked list

If we treat left pointer as previous and right pointer as next, we can use the Node of a Binary Tree to represent node of a Doubly linked list or vice-versa.

Given a binary tree, modify the pointers in each node of the tree so that they represent a Doubly linked. Order of the nodes in DLL should be same as that in the in-order traversal.

If the Input Binary tree is as below

Binary Search Tree

then the function should modify pointers in the nodes, as shown below and return the head pointer.

Doubly Linked List
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