Interview Question - Find top three horses :
You are given five race tracks and twenty five horses.Find the minimum number of races you need to organize to find the fastest three horses. Here five race tracks means that only five horses can run at a time.
Solution
The trick to approach these type of probelm is to consider the corner cases, most of the times what seems obvious is not what is true.
Lets name the five tracks as
T1 , T2, T3 , T4 , T5
and we organize five races in the beginning Let us say that we have the horses named from A - Y.
Lets organize the below races on the ...

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# online classes

## Hashing in detail – Part Two

Introduction
This is the second post in Hashing - Online Classes.
This is in continuation of the article Hashing in detail – Part One, in which we understood the meaning of the word hash, hash code and hashing. We established a better understanding of the data structure which can be used to store objects using hashing.
Also, we found that storing, searching and fetching objects from a hash table is almost a constant time operation and hence, it is an effective mechanism.
Purpose of the article
The article Hashing in detail – Part Two is to focus on the challenges we face while emplo...

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## Hashing in detail – Part One

Introduction
This is the first post in Hashing - Online Classes.
I always wanted to write this article after writing couple of articles on sorting algorithms. It doesn't make any difference, but of course it helps to establish a flow to the reader. There is a lot to understand and learn about hashing and I do not consider it good to throw Hashing on someone as the first article.
Please read any of my articles in the Sorting Series before reading further, so that a mindset is properly developed.
Purpose of the Article
The article Hashing in detail - Part One might not end up in just one ...

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## Comb Sort – An extension over the Bubble Sort

Introduction
This article is in continuation of the article Improving Bubble Sort – A detailed explanation which I wrote to explain the basic idea behind bubble sort.
Purpose of the article
This is an improvement over Bubble Sort, an improvement which is pretty much similar to Shell Sort over Insertion Sort. To know more about the relationship between Shell Sort and Insertion Sort, please read the articles in my previous posts.
What are we trying to improve?
Before we try to improve, we must know what to improve. The thing which is clear is that Bubble sort takes more time (or may I say m...

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## Improving Bubble Sort – A detailed explanation

Introduction
Ever wondered why bubble sort is slow? Does it look similar to Insertion Sort ? Can it be improved to have better than quadratic time in average cases?
Here we start with a detailed analysis of bubble sort in the easiest possible way. Bubble Sort as the name suggests, bubbles up the heaviest (or may be lightest, depending on the comparison operator) elements to the top.
Purpose of the article
The article Improving Bubble Sort, is dedicated to explain the mechanism behind bubble sort in detail, apart from that, it also offers an improved bubble sort. Moreover, it also helps us ...

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## Merge Sort

Introduction
Can sorting be made faster? We have seen sorting techniques like (Insertion Sort, Selection Sort and Shell Sort) which have a quadratic running time. With growing size of the inputs, it becomes tough to use these algorithms. Is there any faster alternative? We would like to find answers to these questions in the Merge Sort article.
On the other hand if you are interested in watching a video for this article, you can subscribe our Youtube Channel.
Purpose of the Article
In this article we try to answer the questions mentioned above. Yes there are many faster alternatives....

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## How selection sort works – A detailed explanation

Introduction
Probably the most crude sorting technique, and also the most in-efficient one. But it's important, because until we know the worst we can't understand the importance of the good and the better. So let us try to find out, how selection sort works.
Purpose of the article
We will try to understand here, how selection sort works and how is the nature of input affecting the running time of this algorithm. Why this is a crude way of sorting and its advantages and dis-advantages.
Idea behind Selection Sort
As the name suggests, there is definitely something to select. Lets assume we...

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