Sorting Algorithm | Bucket Sort - step by step guide

In this video we will learn about Bucket Sort algorithm.
Bucket Sort Code

Reference:
"Introduction to Algorithms" by Clifford Stein, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, 2nd Edition.

The idea of bucket sort is to divide the interval [0,1) into n equal-sized subintervals, or buckets, and then distribute the n input numbers into the buckets.

For this tutorial we will learn Bucket Sort algorithm by sorting integer values.

Algorithm Playlist

Data Structure Playlist

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Quick Sort

Radix Sort

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[chayarenathomas]

I love that your videos are without volume. You explain everything so articulately! Keep up the great work!!

[RiyaVachhani]

Explanation in video is so good it doesn't need voice. Thank you for this!

[musobekshodmonov]

Please add why you took the number of buckets 10

[tylerforrester]

Being able to read along your steps really helped the understanding

[GururajNayak]

One of the best sorting videos on youtube. Keep up the good work bro. Cheers !

[izzy]

Thank you so much Yusuf; God Bless you brother.

[chathurasamarajeewa]

watching in 2020. Explanation can be understand easily. Thank you for the video.

[rushirajparmar]

What a wonderful explanation!Hats off!

[Charles-rnke]

If you use (max + 1)/bucket to determine divider, you are not using min value. When you have numbers 90, 91, 92, ..98, 99, the divider will take all numbers to one bucket.

[anandkulkarni]

silence is the best teacher :) kudos :-])

[bayernlover]

in the minute 2:03
for example :
if (max ) equals 120
ceil(120+1)/10
ceil = 12.1
ceil = 13;
where do we put it??

[khuongnguyen]

It is nice but one question, this sort seems easy to understand if you have same number of digit, how can you deal with different number of digits (like 10, 34, 100, 567, 9, 3000)

[sandipanaich]

Thanks for the video Yusuf. That's really helpful. I think there should be a way to calculate the number of buckets. I am not sure what that formula would be. Because for larger arrays, carrying out insertion sort for every bucket would be a pretty expensive affair. Also, I think if we insert the values in the lists, in a sorted order, then we may do away with the pain of sorting it later using insertion sort. The complexity to maintain a sorted list in every bucket would be lesser than sorting it later, ie. log(n) as compared to n^2.
Thanks for the video with no audio, it's really great.

[n.h.son]

Nice visualization and step-by-step example but it would be better if you can analyze why we have those formulas

[jackpiotrowski]

Always fantastically presented, my friend. Used to be bugged by the no-volume, but I almost believe it helps me concentrate better.

[CODINGisFUN-xzem]

That was soo easy to understand Thanks alot ✌️

[user_-xy]

Can somebody please explain how the number of buckets is determined? Here, the number of elements is 12 and how was it determined that it needs 10buckets to sort the elements? Please help me with this.

[tapper]

How do you know how many buckets should you use

[vctor]

what can I do if i'm sorting a class that i's not divisible so I can't get the divider?

[lalquliyeva]

please write who knows answer.
why we take divider 9, not 8?
ceil is 8.2 approximately we can take 8