Author: dharam

Data Structure for Efficient Search

Problem Statement Given one million 10 digit unique integers, design an efficient data structure which has lowest time complexity for searches. You are given ample amount of space and the time for building the data structure and populating it is not judged. The only criteria is to offer efficient searches. Thought Process for Efficient Search The numbers are 10 digit unique integers and we need a data structure which can offer search in near constant time. The problem is similar to finding if a word exists in a dictionary. Its just that the Strings are replaced by the 10 digit numbers. ...

Splitting and Merging B Tree Nodes

This post is to be read in conjunction with another post Introduction to B Trees. Here we learn that in certain operations the B Tree properties might get disturbed and it will need a fix. Splitting and Merging B Tree Nodes are the only operations which can re-establish the properties of the B Tree. How does a B Tree get unbalanced? The tree is not just to read and search data. There are operations which update the tree either by deleting a key, inserting a new key or just updating the values stored against the key. The Insert and Delete operations tend to modify the structure of the tree...

Finding K nearest distances

Problem Statement You are given millions of two dimensional point and a utility method to calculate their distances from the origin. Write a code to return the nearest K unique distances from the origin. If there are more than one point at the same distance, the distance must be just returned once. For e.g. If there are five points (1,1), (2,1), (1,2), (2,2) and (3,3) and the value of K is 3, then we need to return the following: 1.414 - distance of (1,1) from origin. 2.236 - distance of (2,1) or (1,2) from origin as both will be same. 2.828 - distance of (2,2) from origin Test ...

Find maximum element in array of alternate sequences

Problem Statement Given an array of elements which is first increasing and then decreasing, find maximum element in array of alternate sequences. Here is how an alternate sequence may look like : { 1, 3, 4, 7, 9, 6, 4, 2, 1 } Test Cases Here are few test scenarios which we must take into account before jumping into the code. input array is null input is empty array input has 1 element input has 2 element - increasing sequence. input has 2 element - decreasing sequence. input has N elements with proper increasing-decreasing sequence input has increasing sequence input...