Sparse Table Algorithm Range Minimum Query

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  • เผยแพร่เมื่อ 13 ม.ค. 2025

ความคิดเห็น • 70

  • @sagarcs669
    @sagarcs669 7 ปีที่แล้ว +62

    You should maybe stop asking for likes and shares. No one in their good sense will dislike this video. You truly understand the various phases of the algorithm one finds difficulty grasping and try to cover them in meticulous and illustrative examples. You deserve an award for being only one of the kind of TH-cam Channel that has a whole lot of algorithm explanation. Awesome Sir!

  • @Nikita-xk9fc
    @Nikita-xk9fc 5 ปีที่แล้ว +9

    114k subscribers are very less for u.I haven't seen ny video with this level of explanation.superb xplanation

  • @jfcahoon
    @jfcahoon 8 ปีที่แล้ว +5

    Just wanted to say thank you for all the work you've put into these videos and explanations. Your work has helped me immensely and I really appreciate it.

  • @nitinjain1325
    @nitinjain1325 7 ปีที่แล้ว

    khatarnak tarike se dhulai karte hai aap algorithms ki...use chupne ki jagah nahi milti.... u r great sir ji

  • @aayushbaniyal2124
    @aayushbaniyal2124 8 ปีที่แล้ว +1

    thanks for the videos... they were really helpful ... just know that because of you many students didn't got supply in algorithm course

  • @vineetsharma7287
    @vineetsharma7287 4 ปีที่แล้ว

    Great Explanation! Your videos are helping dev community a lot.

  • @anhdungoan2679
    @anhdungoan2679 6 ปีที่แล้ว +2

    This video is really useful, thank you very much, some people mistakenly thought the dislike button was a download button :D

  • @nguyenducvuanh48
    @nguyenducvuanh48 6 ปีที่แล้ว

    Thank you sir! I would have given up on the problem without this video.

  • @imyashdeepsharma
    @imyashdeepsharma 8 ปีที่แล้ว

    That was very good explanation , cleared some of my doubts ! Thanks Tushar Sir :)

  • @s_cube8543
    @s_cube8543 4 ปีที่แล้ว

    Explanation of pseudo code at the end is what i love most in your videos.. literally it saved hours of my effort for understanding how this algos work.. and all these bcz u put days of effort into building this awesome videos. Such clean and clear explanations with examples. Thank you sooo much!! Hats off to you.
    Please keep uploading more. Also if possible put links to some problems related to this algos to practise. Thanks once again!

  • @ramakrishnachowdary3378
    @ramakrishnachowdary3378 ปีที่แล้ว

    Wow , such a clean explanation , Thank You 💙

  • @thesavagetrader3681
    @thesavagetrader3681 7 ปีที่แล้ว

    Thanks sir for your great effort... very simple and easy explanation.

  • @NestorUA22
    @NestorUA22 6 ปีที่แล้ว +2

    Hi Tushar.
    Thank you for your video.
    I think for your viewers would be useful to explain the main idea of the algorithm with a sparse table.
    And this is as following:
    any range-interval [u,v] to divide onto two intersecting intervals [u,u+2^k-1] and [v+1-2^k,v] of length 2^k
    these two intervals are intersecting because by choice: 2^k

  • @AdityaPareek-c2u
    @AdityaPareek-c2u 7 หลายเดือนก่อน

    I love this, great work sir

  • @pritommitchellrodrigues3724
    @pritommitchellrodrigues3724 4 ปีที่แล้ว

    Thanks bhai, finally understood how it works. :D

  • @dvnsravan
    @dvnsravan 8 ปีที่แล้ว

    Thanks for the explanation Tushar!

  • @utuk123
    @utuk123 8 ปีที่แล้ว

    Awesome video Tushar sir

  • @shivamchauhan3562
    @shivamchauhan3562 4 ปีที่แล้ว

    Thank you. Very nice explanation.

  • @AbhishekKumar-zz3ts
    @AbhishekKumar-zz3ts 8 ปีที่แล้ว

    sweet and simple explanation , keep it up :D

  • @sarthakgaba1583
    @sarthakgaba1583 4 ปีที่แล้ว

    Superbly Amazing! Thanks mate :)

  • @Himanshu-ed3mf
    @Himanshu-ed3mf 4 ปีที่แล้ว +3

    Important point : if we have to find out sum of elements in range [L, R], then sparse table will give time complexity O(log N) not O(1)

  • @christy_yinyan8449
    @christy_yinyan8449 8 ปีที่แล้ว +1

    Thank you so much! always the best!!!!

  • @madhav3444
    @madhav3444 3 ปีที่แล้ว

    Best explanation !

  • @AmanGarg95
    @AmanGarg95 8 ปีที่แล้ว +1

    Hi Tushar. If we were to do point updates at an index, then we would update all those entries at which the index in picture might contribute as a minimum to, right? This would be O(N logN) for N such point update queries. Am I correct in saying this?

  • @ShubhamJoshishubhamjoshi
    @ShubhamJoshishubhamjoshi 8 ปีที่แล้ว +3

    Thanks a lot :D could you please add one of LCA By RMQ also.

  • @sushmitagoswami2033
    @sushmitagoswami2033 2 ปีที่แล้ว

    while doing the range query, why are we moving by k after we find the min in [query_L, K]? Since, we have already calculated for 2^k number of elements?

  • @raj1307
    @raj1307 6 ปีที่แล้ว

    great video sir :)

  • @abubakarismail5436
    @abubakarismail5436 2 ปีที่แล้ว

    Weldone bruh Thanks

  • @RomanReigns-ds8hs
    @RomanReigns-ds8hs 5 ปีที่แล้ว

    for range queries problems. which algorithm would be better?

  • @umangmalhotra1222
    @umangmalhotra1222 8 ปีที่แล้ว

    Hi tushar! what is the logic behind putting index of minimum numbers in table , you could have directly put the minimum value direct in the table.
    BTW nice video as always.

  • @immanuelsamuelgwu
    @immanuelsamuelgwu 3 ปีที่แล้ว

    Correct me If I'm wrong according to the sparse table being taught when i=4, j=0 in the first column, j will be 6 and i will be 7 and the min of both is 6 so the index of the 6 which is 1 should be returned right?

  • @ravinapit1625
    @ravinapit1625 4 ปีที่แล้ว

    Nice explanation. But Plz use another marker

  • @harshitgangwar1426
    @harshitgangwar1426 4 ปีที่แล้ว

    good explanation

  • @sahilgarg750
    @sahilgarg750 8 ปีที่แล้ว

    can we use sparse table for max min range query in a 2d array(matrix)?

  • @mayurkulkarni755
    @mayurkulkarni755 8 ปีที่แล้ว +1

    The time complexity to query RMQ Sparse Table in your implementation is log*(n) (not to be confused with log(n), log*(n) is iterated logarithm) which can be reduced to O(1) by choosing 2 [L,R] values such that they cover all the nodes. Read this for more www.topcoder.com/community/data-science/data-science-tutorials/range-minimum-query-and-lowest-common-ancestor/#Lowest%20Common%20Ancestor%20(LCA)

  • @rahulbhati3079
    @rahulbhati3079 5 ปีที่แล้ว

    can you upload some questions related to it

  • @RomanReigns-ds8hs
    @RomanReigns-ds8hs 5 ปีที่แล้ว

    thanks for the explanation.

  • @techgianttechyforever
    @techgianttechyforever 3 ปีที่แล้ว

    Is it only me who listen keyboard smashing sound when he write something on board

  • @techstuff9830
    @techstuff9830 2 ปีที่แล้ว

    Great one!

  • @hope-jh7bv
    @hope-jh7bv 3 ปีที่แล้ว

    Thank you so much sir.

  • @raghuramkarra15
    @raghuramkarra15 8 ปีที่แล้ว +1

    number of columns should be floor(log2(n))

    • @RomanReigns-ds8hs
      @RomanReigns-ds8hs 5 ปีที่แล้ว

      why??

    • @ujjwalbansal1070
      @ujjwalbansal1070 4 ปีที่แล้ว

      @@RomanReigns-ds8hs cp-algorithms.com/data_structures/sparse-table.html Read the Intuition part of the above link

  • @samprasdsouza6993
    @samprasdsouza6993 4 ปีที่แล้ว

    is this MO's algo ??

  • @bharatgulati8531
    @bharatgulati8531 5 ปีที่แล้ว

    wanted to give a double like to the video. but alas youtube restricted me two just one like.

  • @techgianttechyforever
    @techgianttechyforever 3 ปีที่แล้ว

    thanks a lot sir :)

  • @Ashley_montz
    @Ashley_montz 6 ปีที่แล้ว

    does anyone know which problem in leetcode this is ?

  • @front-rud
    @front-rud ปีที่แล้ว

    Thank you bro!

  • @sgulugulu19
    @sgulugulu19 6 ปีที่แล้ว

    Wouldn't it be more helpful if we store the elements directly..rather than their index

    • @dhruvreshamwala511
      @dhruvreshamwala511 6 ปีที่แล้ว

      Exactly what I was wondering

    • @dhruvreshamwala511
      @dhruvreshamwala511 6 ปีที่แล้ว +4

      Okay.. Got it.. The application of RMQ demands the storage of indices.. Because, usually, the minimum value is not just "Needed", it can also be updated.

  • @samiulislamdurjoy
    @samiulislamdurjoy 2 ปีที่แล้ว

    G 17:23

  • @prudvim3513
    @prudvim3513 8 ปีที่แล้ว +6

    Hi tushar, I think Segment tree takes O(n log(n)) space and time for pre processing. Not O(N)

    • @saikumark6327
      @saikumark6327 6 ปีที่แล้ว

      the preprocessing time is o(nlogn)

    • @madankumarrajan1028
      @madankumarrajan1028 6 ปีที่แล้ว +1

      This is O(N) just the same way a heap construction algorithm takes O(N).

    • @malharjajoo7393
      @malharjajoo7393 6 ปีที่แล้ว

      @@madankumarrajan1028 Can you elaborate ? From my understanding, the heap construction algorithm time complexity is not very straight-forward to understand.
      Also, segment tree should be O(nlogn) according to me, since we use divide and conquer and then sum (in case of Range sum queries) the two child node values.

  • @mousatat7392
    @mousatat7392 7 ปีที่แล้ว

    thank you very much

  • @firefox-zzz
    @firefox-zzz 8 ปีที่แล้ว

    great as usual :D

  • @yuunpeeto8293
    @yuunpeeto8293 7 ปีที่แล้ว

    many thanks!

  • @somnathgiri3245
    @somnathgiri3245 7 ปีที่แล้ว

    good

  • @vaibhavsharma8150
    @vaibhavsharma8150 8 ปีที่แล้ว

    thanku sir

  • @yeeroj
    @yeeroj 4 ปีที่แล้ว +1

    Tushar bhai angrejo ki tarah English kyun bol rhe ho.....indian style English bol lo

  • @syedashamimakter3231
    @syedashamimakter3231 4 ปีที่แล้ว

    cout

  • @rajbansal787
    @rajbansal787 4 ปีที่แล้ว

    respect++

  • @ShubhamKumar-rt8nb
    @ShubhamKumar-rt8nb 5 ปีที่แล้ว +1

    first of all you should explain the logic or why we are doing something

  • @uNabL3
    @uNabL3 6 ปีที่แล้ว

    Thank you!