Sparse Table & RMQ (Range Minimum Query)

  Рет қаралды 70,699

Errichto Algorithms

Errichto Algorithms

Күн бұрын

Tutorial on Sparse Table data structure. We use it to solve Range Minimum Query by first storing minimum for every interval with a length equal to some power of 2.
problem links: www.spoj.com/problems/RMQSQ/ & cses.fi/problemset/task/1647
code github.com/Errichto/youtube/b...
Coding live streams - / errichto
FAQ - github.com/Errichto/youtube/w...
Dsicord server - / discord
Subscribe for more educational videos on algorithms, coding interviews and competitive programming.

Пікірлер: 133
@ayushgaba7089
@ayushgaba7089 3 жыл бұрын
He's the best competitive programmer in my opinion. He devotes so much to the community. Thankyou errichto!
@Thy_panda_king
@Thy_panda_king 3 жыл бұрын
Totally agree 😁
@utkarshdevgan6199
@utkarshdevgan6199 3 жыл бұрын
This is the greatest tutorial I have ever seen, soo detailed and crystal clear!!!!!!
@Errichto
@Errichto 3 жыл бұрын
Thanks :)
@vishnusingh4118
@vishnusingh4118 3 жыл бұрын
This is a work of art and beauty! There are people who can do but can't teach. Then there are those who can maybe teach but can't do. Then there are legends, who can do both at a mediocre level. And then God said, "Let Errichto be". 🙌. You make complex stuff seem so mind-blowingly simple! Can't thank you enough!
@Errichto
@Errichto 3 жыл бұрын
I think you're exaggerating but still - thank you!
@saikumarganganapalli5957
@saikumarganganapalli5957 3 жыл бұрын
The transition from logorithm to constant complexity for each query had put a smile. That was so cool.😎. Excellent explanation. Keep it going.
@Errichto
@Errichto 3 жыл бұрын
I agree that the transition is nice and satisfying.
@rajd7002
@rajd7002 3 жыл бұрын
Finally a video that perfectly explains the core concept. I was able to come up with log n approach before you explained and was so proud of myself. And then you dropped constant time which blew my mind. :D Thanks Errichto!
@nighteagle6297
@nighteagle6297 2 жыл бұрын
You are the best competitive programmer. Very thanks. I understood it very clearly. Thanks for spending a lot of time to explain us. Thank you Errichto!
@kxb6098
@kxb6098 3 жыл бұрын
Clear, concise, and perfect explanation
@hitesh6856
@hitesh6856 3 жыл бұрын
Video quality and explanation is soo good. Thank-you!!
@asifanwarsajid8332
@asifanwarsajid8332 3 жыл бұрын
Read about sparse table 2 days back. I checked if you had made any video on it. And here it is. 💯
@sameerbamnaha2189
@sameerbamnaha2189 3 жыл бұрын
Amazing tutorial!!! Really enjoyed it and learned a lot!
@ayamtaken2580
@ayamtaken2580 3 жыл бұрын
I don't understand anything you're saying, but your voice is so soothing like ASMR to me
@vaibhavtiwari6540
@vaibhavtiwari6540 2 жыл бұрын
Lmao, simp.
@sureshchaudhari4465
@sureshchaudhari4465 2 жыл бұрын
Errichto this is so nice and simple explanation I read it in book but did not understand you are really nice at explaining
@CrystalSergeant
@CrystalSergeant 3 жыл бұрын
I love even more your recent videos
@loonshott
@loonshott 2 ай бұрын
Thanks for this amazing course. Your explanation is just in another level.
@rishabhkalra9505
@rishabhkalra9505 2 жыл бұрын
that was indeed a really good explanation to sparse tables. Thank you for this video. :)
@MehbubulHasanAlQuvi
@MehbubulHasanAlQuvi 3 жыл бұрын
Keep up these good tutorials. Thanks a lot
@mrdude1084
@mrdude1084 2 жыл бұрын
I was looking for sparse table tutorial. When I saw Errichto's video in the list, I knew I couldn't get any luckier.
@beaujamo
@beaujamo 4 ай бұрын
Thank you! Got mine working now! Awesome tutorial!
@sourandbitter3062
@sourandbitter3062 3 жыл бұрын
This is very cool. Eager to learn about the segment tree. I didn't know about this. There surely are good use cases for this algorithm. For sure segment trees, or a similar structure, are used in databases.
@__agpatel__
@__agpatel__ 3 жыл бұрын
He is really great and down to earth person....always willing to do something good for community....👍👍👍
@manjuender6286
@manjuender6286 3 жыл бұрын
Woah explained so simple, seems like a complex math but it is not once you understand the intent behind thanks a lot for the video
@gauravupreti9340
@gauravupreti9340 Жыл бұрын
Best Explanation, you made it so easy to understand. Please keep up the good work 😊
@magnuseifr
@magnuseifr 3 жыл бұрын
c++ also has builtin function __lg for base-2 logs with integers. Nice and clear explanation (as always)!
@Errichto
@Errichto 3 жыл бұрын
Oh, right.
@GGxEpsilon
@GGxEpsilon 3 жыл бұрын
I think log2 does the same, doesnt it?
@magnuseifr
@magnuseifr 3 жыл бұрын
@@GGxEpsilon I think __lg belongs to the gcc compiler and is designed to work on integers (or long longs) specifically. log2 should have the same behaviour, but as Errichto mentions in the video: floating point values are scary to work with.
@AnkitJosh
@AnkitJosh 3 жыл бұрын
Thanks ☺️ , this lecture was really helpful.
@farhan787
@farhan787 3 жыл бұрын
Finally Errichto is back :)
@ashisharyan3028
@ashisharyan3028 3 жыл бұрын
Thank,I just needed this perfect and Crystal clear explanation .Orz
@joserenteria5899
@joserenteria5899 2 жыл бұрын
i love learning from Errichto more than my own profs
@subarnodatta2181
@subarnodatta2181 3 жыл бұрын
Wonderful video. Helped me a lot sir
@plosslaw
@plosslaw 3 жыл бұрын
Amazing stuff, good explanation
@ejackkulation7377
@ejackkulation7377 Жыл бұрын
Thank you, Errichto.
@coefficient1359
@coefficient1359 3 жыл бұрын
Very nice explanation Errichto
@anowlwithinternet9125
@anowlwithinternet9125 Ай бұрын
You never dissappoint!
@hiderr6805
@hiderr6805 3 жыл бұрын
Dzięki za pomoc w przygotowaniu do Olimpiady Informatycznej Juniorów (:
@simonstrandgaard5503
@simonstrandgaard5503 3 жыл бұрын
Great explanation.
@iftekharfahim
@iftekharfahim 3 жыл бұрын
Please do some Videos on Data Structure. Your explanations are simple and precise.
@anshusingh2473
@anshusingh2473 2 жыл бұрын
today i am practice codeforces Div2 C problem but i am not able to solve efficiently and seen editorial sparse table algorithm is used then learn this from your lecture then simply solve and learn this concept smart way very thankful for you explanation
@5590priyank
@5590priyank 3 жыл бұрын
Amazing tutorial, for so long I was not sure how queries take constant time and not logN time. I always thought we need to answer each queries such that we divide range into powers of 2... finally your tutorial solved that for me that we need to take largest power of 2 which fits in given range and check from L and R end point and hence it is O(1). thank you so much for clearing this :) Also this clears why we can't use sparse table for answering range sum queries in O(1) because we are using overlapping ranges, right?
@BrunoSouza-wy2et
@BrunoSouza-wy2et 3 жыл бұрын
amazing dude, I've been following your videos for a year now and you are always improving the way u teach. thanks !
@Errichto
@Errichto 3 жыл бұрын
Let's hope that I will keep improving then :)
@siddharthmagadum16
@siddharthmagadum16 3 жыл бұрын
He's sooo clever. Thanks for the video
@glaucoa.9214
@glaucoa.9214 2 жыл бұрын
Erichto you are the best person in the world!
@vwv.1d
@vwv.1d Жыл бұрын
may you get all of what you want in life..i respect you
@simranvedpathak7112
@simranvedpathak7112 2 жыл бұрын
Thank you !
@vali8924
@vali8924 3 жыл бұрын
Very nice explanation
@mjKeszely
@mjKeszely 3 жыл бұрын
Duma rozpiera, że rodak jest takim mózgiem :)
@ahmmedsakibnoman2849
@ahmmedsakibnoman2849 3 жыл бұрын
plz do segment tree.. waiting for a long time..
@Vikash_Art
@Vikash_Art 2 жыл бұрын
For computing "k" in the query function we can do k=floor(log2(len)) then we can have 2^k
@Dima-uz8gi
@Dima-uz8gi 3 жыл бұрын
Many thanks!
@josealejandrovaroncarreno1692
@josealejandrovaroncarreno1692 3 жыл бұрын
the best youtuber
@ankitvats3295
@ankitvats3295 2 жыл бұрын
What an explanation! op
@apoorvmehra121
@apoorvmehra121 3 жыл бұрын
Amazing👍🏽👍🏽
@vineethkumar8132
@vineethkumar8132 3 жыл бұрын
Wow! its so clear even a 5 year old IQ guy lile me understands , Thank you for the wonderful content Ericchto !
@srishtikdutta8946
@srishtikdutta8946 3 жыл бұрын
Awesome!!
@ZakiFootballVideos
@ZakiFootballVideos 2 жыл бұрын
Thank you
@shivam6829
@shivam6829 3 жыл бұрын
Please make detailed videos on segment tree and it various applications( like, min , max, updating, sum, frequency of max frequent element in the asked range etc...)
@priceandpride
@priceandpride 3 жыл бұрын
The brain on this man
@shaoxiongduan565
@shaoxiongduan565 3 жыл бұрын
legend.
@i_am_wiz
@i_am_wiz 9 ай бұрын
Won’t the time complexity for answering a single query still logN as we are computing log2(len) where len is R - L + 1 which in worst case is of the order (N). So won’t the time complexity be logN per query?
@learning7517
@learning7517 Жыл бұрын
I agree that using log2(x) is something to be avoided generally, however, if x < 2^31, it is guaranteed that the result of (int)log2(x) will be the same of any the bit tricks, so it might be a good choice if it's faster to code.
@rishabhpurwar4875
@rishabhpurwar4875 3 жыл бұрын
You're amazing
@p4rzival127
@p4rzival127 3 жыл бұрын
This reminds of Reversort in Codejam Quali
@gnet888
@gnet888 3 жыл бұрын
Thanks You
@GGxEpsilon
@GGxEpsilon 3 жыл бұрын
Errichto orz ❤️
@kongzilla2897
@kongzilla2897 3 жыл бұрын
Nice!! Binary is always Beautiful :)
@isma--
@isma-- 2 жыл бұрын
Hey Errichto, one question, what do you use in order to write your notes, i think you use like a tablet or something
@madhvansharma5917
@madhvansharma5917 Жыл бұрын
Can we use sparse table for sum queries if we use the method where we convert ranges to binary and add it like we do in binary lifting (query time = logN)?
@nileshchandra6435
@nileshchandra6435 2 жыл бұрын
Should have checked this out before, not knowing sparse tables cost me yesterday as the seg tree failed in time.
@sahilanand30
@sahilanand30 6 ай бұрын
@subarnodatta2181
@subarnodatta2181 3 жыл бұрын
I don't know why people disliked this video.🤷‍♂️🤷‍♂️
@tihomirjovicicify
@tihomirjovicicify 3 жыл бұрын
awesome
@jakoolaboo
@jakoolaboo 3 жыл бұрын
Thank you for this great video BTW : Is the __builtin function O(1) or O(log) or what ??
@hitesh6856
@hitesh6856 3 жыл бұрын
It is O(number of bits), so it is essentially O(1)
@Errichto
@Errichto 3 жыл бұрын
@@hitesh6856 It's O(1) rather than O(number of bits). CPU doesn't need to iterate bits one by one, it does it faster just like other basic operations like addition.
@hitesh6856
@hitesh6856 3 жыл бұрын
​@@Errichto ohh. I didn't knew that. Thanks! big fan..!
@jakoolaboo
@jakoolaboo 3 жыл бұрын
@@Errichto thx for answering
@userrand4900
@userrand4900 10 ай бұрын
Is the condition in line 30, correct? It does not reflect m[i + (1
@atharvasalokhe5168
@atharvasalokhe5168 3 жыл бұрын
Hello guys, I am errichto, is so cool to hear
@manas_singh
@manas_singh 3 жыл бұрын
How do you find problems on SPOJ? It seems so difficult to find by tags.
@therealcdubbb8040
@therealcdubbb8040 2 жыл бұрын
Can you have multiple overlapping intervals?
@tripleaplusb2214
@tripleaplusb2214 3 жыл бұрын
Hi , can I know the name of program used to explain pls?
@aakashvishwakarma4653
@aakashvishwakarma4653 3 жыл бұрын
💯💯💯
@asdfinonebody4103
@asdfinonebody4103 3 жыл бұрын
good !
@andrijaciric4661
@andrijaciric4661 3 жыл бұрын
It would be nice if you covered CSES problemset. It has a lot of educational problems that are hard to solve if you don't know the right technique.
@KuaisArts
@KuaisArts 3 жыл бұрын
check out CPH. CSES is a supplementary problem set to that book. Good luck!
@darshankubavat1764
@darshankubavat1764 3 жыл бұрын
Errichto can you please make a video on how to deal with burnouts we face while constant coding?
@shnerdz
@shnerdz 3 жыл бұрын
please do segment trees next
@pavankumar-cy6mg
@pavankumar-cy6mg 3 жыл бұрын
why it is k
@xiangli9588
@xiangli9588 2 жыл бұрын
you are wrong
@Steve168xyz
@Steve168xyz 3 жыл бұрын
Thanks for this vid - i like your background - so the goal to the get the O(N*log((N) + Q) though N is increasing tremendously ?
@Errichto
@Errichto 3 жыл бұрын
It's O(N*log(N) + Q) so it makes a lot of sense if Q is huge.
@koushiksaigopalamalladi5994
@koushiksaigopalamalladi5994 3 жыл бұрын
pls do video on disjoint set union
@nalinnishant5249
@nalinnishant5249 2 жыл бұрын
We can also solve this problem using sliding window concept in O(n) time
@joshuawilson6907
@joshuawilson6907 11 ай бұрын
I got WA with this code on spoj, do you guys have any ideas?
@rohitoze9359
@rohitoze9359 2 жыл бұрын
Line 27, shouldn't it be i
@BGOPC
@BGOPC 3 ай бұрын
2 year's in and still waiting for the segment tree video
@QngTu1159
@QngTu1159 3 жыл бұрын
Can someone explain me what is “1
@leviackerman9882
@leviackerman9882 3 жыл бұрын
Search bitwise left shift and right shift on KZfaq Also i think errichto has a video on bit manipulation where he explained left shift and right shift
@leviackerman9882
@leviackerman9882 3 жыл бұрын
Here you go : kzfaq.info/get/bejne/rr57f5yKp73Lc40.html
@QngTu1159
@QngTu1159 3 жыл бұрын
@@leviackerman9882 Tks u so much
@apoorvmehra121
@apoorvmehra121 3 жыл бұрын
It means 2 to the power k
@dhakad22klx
@dhakad22klx Жыл бұрын
Easily explained.
@tanaykulkarni822
@tanaykulkarni822 3 жыл бұрын
It is like segment tree
@skullcode8856
@skullcode8856 2 жыл бұрын
10:00 this was when I started thinking that sparse tables are clever.
@parashararamesh4252
@parashararamesh4252 3 жыл бұрын
How would we handle updates?
@Errichto
@Errichto 3 жыл бұрын
You need a segment tree for that.
@Shirolicious
@Shirolicious 2 жыл бұрын
i dnno, this guy is godtier. I cannot compute. syntax error
@mdshahadatkabir8329
@mdshahadatkabir8329 3 жыл бұрын
Please do make how and when u started doing cp. Love your videos from Bangladesh
@shrikantpadhy6125
@shrikantpadhy6125 2 жыл бұрын
Segment tree can also do the same right? So whats the advantage here?
@mohansharma-pt6yk
@mohansharma-pt6yk 9 ай бұрын
Time complexity becomes O(N+Q*logN) and improves space complexity too
@skt7088
@skt7088 9 ай бұрын
@@mohansharma-pt6yk in segment tree time complexity is O(QlogN)?
@anshusingh2473
@anshusingh2473 3 жыл бұрын
your balance bracket concept apply div2 B problem in contest get Accepted and my rank under 2500 thanks for you good job
@Errichto
@Errichto 3 жыл бұрын
:)
@puneetgoel7416
@puneetgoel7416 3 жыл бұрын
What balance bracket concept? Could u pls share the link of that video 🙏🙏
@anshusingh2473
@anshusingh2473 3 жыл бұрын
kzfaq.info/get/bejne/ps-EaJuVs7K0mJs.html
@nisarggogate8952
@nisarggogate8952 3 жыл бұрын
Hey in preprocessing part inner for loop should be for(i=0;i+(1
@joshuawilson6907
@joshuawilson6907 11 ай бұрын
I can AC the cses problem but cant for the spoj :))
@anonymoussloth6687
@anonymoussloth6687 Жыл бұрын
I saw this somewhere to find largest power of 2 less than or equal to n: x=n While(x&(x-1)) x&=x-1; Now x will be the answer
@MehbubulHasanAlQuvi
@MehbubulHasanAlQuvi 3 жыл бұрын
First View, Like and Comment
Prefix Sums - Problems, Code in C++ & Python
20:51
Errichto Algorithms
Рет қаралды 38 М.
Binary Lifting (Kth Ancestor of a Tree Node)
18:01
Errichto Algorithms
Рет қаралды 91 М.
小路飞姐姐居然让路飞小路飞都消失了#海贼王  #路飞
00:47
路飞与唐舞桐
Рет қаралды 69 МЛН
Зомби Апокалипсис  часть 1 🤯#shorts
00:29
INNA SERG
Рет қаралды 6 МЛН
Когда на улице Маябрь 😈 #марьяна #шортс
00:17
Computations Modulo P in Competitive Programming
18:15
Errichto Algorithms
Рет қаралды 122 М.
Sparse Table Algorithm Range Minimum Query
27:33
Tushar Roy - Coding Made Simple
Рет қаралды 56 М.
Kickstart 2021 Round C (1st place)
1:18:05
Errichto Algorithms
Рет қаралды 216 М.
Sparse Table | Range Minimum Query in O(1)
17:13
Kartik Arora
Рет қаралды 6 М.
Sparse Table Data Structure
23:18
WilliamFiset
Рет қаралды 29 М.
Binary Search tutorial (C++ and Python)
27:41
Errichto Algorithms
Рет қаралды 243 М.
2nd Place in Google Kickstart 2020 G with keyboard-cam and commentary
28:48
Errichto Algorithms
Рет қаралды 177 М.
9. Augmentation: Range Trees
1:24:34
MIT OpenCourseWare
Рет қаралды 60 М.
小路飞姐姐居然让路飞小路飞都消失了#海贼王  #路飞
00:47
路飞与唐舞桐
Рет қаралды 69 МЛН