DP 51. Burst Balloons | Partition DP | Interactive G-Meet Session Update

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  • Опубликовано: 6 сен 2024
  • Lecture Notes/C++/Java Codes: takeuforward.o...
    Problem Link: bit.ly/3Kgck9N
    Please watch the video at 1.25x for a better experience.
    Pre-req for this Series: • Re 1. Introduction to ...
    a
    Make sure to join our telegram group for discussions: linktr.ee/take...
    Full Playlist: • Striver's Dynamic Prog...
    In this video, we solve the burst balloons problem which is a part of partition DP.
    If you have not yet checked our SDE sheet, you should definitely do it: takeuforward.o...
    You can also get in touch with me at my social handles: linktr.ee/take...

Комментарии • 318

  • @gopeshkhandelwal9823
    @gopeshkhandelwal9823 2 года назад +324

    Your videos have helped me to get to Google. Thanks a lot for making such helpful stuffs.

    • @abh9789
      @abh9789 2 года назад +10

      Bhaiya can you Kindly say how much does cp profile matter for google at 1-2 years of experience? Thank You very much... 🙏

    • @gopeshkhandelwal9823
      @gopeshkhandelwal9823 2 года назад +36

      @@abh9789 I didn't had any. I solved the SDE sheet religiously and followed his videos and some other folks videos (techdose and codebix).

    • @abh9789
      @abh9789 2 года назад +3

      @@gopeshkhandelwal9823 May I ask which college are you from? Did you join google as a fresher? Thank You..

    • @gopeshkhandelwal9823
      @gopeshkhandelwal9823 2 года назад +12

      @@abh9789 No, I am not a fresher. I had worked with Amazon for 1.5 years earlier after the college.

    • @VY-zt3ph
      @VY-zt3ph 2 года назад +32

      You proved that we don't need scaler.

  • @spandanrastogi7144
    @spandanrastogi7144 Год назад +101

    This video has saved me two days of scratching my head while trying to understand the solution in discussion section and still moving on with unclear things in my head
    The fact that there were no courses like this to learn from during his time and he must have learnt all this with just pure grind and just hours and hours of work blows my mind.
    He's pouring his years of hard work into these videos and that too for free
    Thank You Striver !

  • @amansingh8752
    @amansingh8752 2 года назад +131

    At 22:36 there is mistake it will be mini = max(mini, cost)

    • @k.chetankumar6533
      @k.chetankumar6533 Год назад

      yes upvote every one so that everyone can see this mistake👍

    • @rocklee3254
      @rocklee3254 Год назад +9

      i think striver wanted to use maxi = max(maxi, cost) like he uses always

    • @balakrishnanr648
      @balakrishnanr648 Год назад +5

      yah its maxi we need. Just a small mistake guys. it happens at times
      Anyways the point is we need to go in reverse - last 2ndlast 3rdlast....nthlast(aka first)

  • @Harshit126
    @Harshit126 2 года назад +62

    Understood, thanks.
    Again, this seems to be straight forwardly explained but there's a huge R&D which you might have done to come up with the solution. Thanks a ton for all the help!

  • @Dontpushyour_luck
    @Dontpushyour_luck Год назад +11

    one of the toughest problem so far for me, but as soon as you explained the approach of going from last balloon to first balloon, i was able to code it up myself. All this due to your excellent dp series so far!

    • @KrishGargSomeWhere
      @KrishGargSomeWhere Год назад

      Same. The moment he said it, the whole solution struck me. Sadly, I could not come to the conclusion myself.

  • @girishbhargava6367
    @girishbhargava6367 2 года назад +29

    Striver, in the tabulation method, you don't need to check the condition (i > j continue), you can start the jth loop from i, and it will work fully fine. Thanks for making such great videos. This DP playlist is the best gift from your side to the community.

  • @nilimsankarbora5911
    @nilimsankarbora5911 8 месяцев назад +4

    This is one of your best videos!
    Burst Balloons has got to be one of the most complex problems for anyone solving it for the first time, and your explanation makes it clear how the methods we would normally begin with won't work, and why starting from the bottom WILL work.
    Thanks for this video and congrats for making a great one for this problem. ❤❤❤

  • @shlok1124
    @shlok1124 Год назад +10

    This is one of your best videos!
    Burst Balloons has got to be one of the most complex problems for anyone solving it for the first time, and your explanation makes it clear how the methods we would normally begin with won't work, and why starting from the bottom WILL work.
    Thanks for this video and congrats for making a great one for this problem.

  • @rohitraj5832
    @rohitraj5832 2 года назад +8

    Hardest Problem in entire dp series i ever watched . same qn. was asked in Samsung. TY striver :)

  • @bluesteel1
    @bluesteel1 6 месяцев назад +2

    There is no way on god's green earth anyone can comeup with this approach under pressure in an interview.

  • @vinayakbajpeyi931
    @vinayakbajpeyi931 Год назад +3

    Understood. I was a bit confused at first, but then it clicked! Great explanation as always!

  • @Pritesh-sh21
    @Pritesh-sh21 2 года назад +8

    18:46 is the moment i was completely shocked I MEAN damn Man, this is BEST EXPLANATION SO FAR. Respect++

  • @CoolBoy-tp5bg
    @CoolBoy-tp5bg 24 дня назад

    I spent whole day in figuring out the solution myself but I couldn't make it.Thank you for great explanation in simplest way.

  • @karthikeyan1996_
    @karthikeyan1996_ Год назад +5

    I never learnt dp in scaler like this. I never knew the recursive version in scaler went with tabulation. Striver bhaiya big fan of you I can shout from top of house you made me learn dp like anything. Even during time of scaler i got rejected in first round of amazon. Now I had cleared three rounds maang is a dream for me you will make it come to reality

  • @348_rahulbehera4
    @348_rahulbehera4 2 года назад +13

    Hey Striver, Thanks for the wonderful explanation of the problem.
    Can you make more videos on the logic of reverse thinking in DP?

  • @samyakjain7422
    @samyakjain7422 2 года назад +3

    aaj tak burst balloons nhi samajh paya tha itne logon ki videos dekhi youTube par but apki video se 1 shot me samajh aagya thanks bhai and understood!!! ofc.

  • @rudrakshjain8492
    @rudrakshjain8492 15 дней назад

    i fucking love coding because of solutions and explainations like this. god tier work.

  • @scripter7676
    @scripter7676 Год назад +8

    i am now in codenation just because of you striver

  • @adarshdubey1784
    @adarshdubey1784 2 года назад +3

    In the tabulation approach, in the second for loop, we can run j from i to n.

  • @shantanudev8576
    @shantanudev8576 2 года назад +2

    Wow-what an awesome explanation sir. Thanks for all the hard work that you put in, in making these videos.

  • @brokegod5871
    @brokegod5871 Месяц назад

    No need to insert 1 at the end and start, you can just check if i and j are at the boundary before calculating the product. This is the memoised code, you can surely do the tabulation by now
    class Solution {
    public:
    int solve(int i, int j, int n, vector &nums, vector &dp) {
    if(i>j) return 0;
    if(dp[i][j]!=-1) return dp[i][j];

    int ans = INT_MIN;
    for(int k=i;k= n) ? 1 : nums[j+1]; //if j+1 is out of bounds

    int coin = left*nums[k]*right + solve(i,k-1,n,nums, dp) + solve(k+1,j,n,nums,dp);
    ans = max(ans, coin);
    }

    return dp[i][j] = ans;
    }
    int maxCoins(vector& nums) {
    int n = nums.size();
    vector dp(n, vector (n, -1));
    return solve(0,n-1,n,nums,dp);
    }
    };

  • @varadv3
    @varadv3 2 месяца назад +1

    Read many solution where they just told that it's MCM add 1s to start and end that's it, but I didn't find it intuitive...
    This solution is logical rather than mugging up those solution!

  • @stith_pragya
    @stith_pragya 7 месяцев назад +1

    UNDERSTOOD.......Thank You So Much for this wonderful video.........🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

  • @chandrachurmukherjeejucse5816
    @chandrachurmukherjeejucse5816 Год назад

    Really a great, clean, clear and concise solution.

  • @udayjordan4262
    @udayjordan4262 Год назад +1

    if in any interview a guy faces this type of questions for the first and able to come up with a solution at that point because the previous video has helped with the fact that why serial wise approach wouldnot help but thinking of the backward approach is tough

  • @shubhampol9
    @shubhampol9 Год назад +1

    understood it but this was the tough one. To come up with the right approach for such questions is the most difficult part.

  • @neelulalchandani7429
    @neelulalchandani7429 3 дня назад

    amazing explanation to an amazing problem, thankyou. Understood!

  • @paneercheeseparatha
    @paneercheeseparatha 3 дня назад

    Thanks was struggling with the problem a lot. But atleast did the tabulation myself.

  • @priyankakataria7922
    @priyankakataria7922 Год назад +1

    Didn't understand the if(i>j) continue; statement

  • @bgmedits2515
    @bgmedits2515 2 года назад +8

    Bro ,u can use backtracking like keep bool array for bursted balloons ,and then calculate from top to down itself

    • @sypher4735
      @sypher4735 Год назад +2

      Yes, you can, but you cannot apply Memoization to it!

  • @mriduljain6809
    @mriduljain6809 Год назад

    Understood bhaiya!!
    Just a small enhancement, we do not need to check the condition (i>j) , we can start j from i, and the code will work fine.
    int maxCoins(vector& nums) {
    nums.insert(nums.begin(),1);
    nums.push_back(1);
    int n=nums.size();
    vector dp(n,vector (n,0));
    for(int i=n-2;i>=1;i--)
    {
    for(int j=i;j

  • @ShashankRustagiCSE
    @ShashankRustagiCSE 2 года назад +3

    kirti purswani wala burst balloon bahut acha hai. wo bhi dekhna kabhi

  • @berserker556
    @berserker556 3 месяца назад +1

    Understood Bro , Thanx for the wonderful explanation 👍

  • @BeingEntertained
    @BeingEntertained 2 года назад +2

    best question and explanation in my coding journey

  • @VY-zt3ph
    @VY-zt3ph 2 года назад +5

    Until 12:00 I understood the actual neighbor's part. But after that things were not getting clear. It felt like you skipped something

  • @cinime
    @cinime 2 года назад +1

    Understood! Aaaaaaaamazing as always, thank you very much!!

  • @srikarvinjamara2003
    @srikarvinjamara2003 6 месяцев назад +1

    Hi striver. First of all thanks for the explanation. I understood the explanation but when i looked at the code it is exactly similar to other problems we did[say l49 or l50] which were done in a top down approach. So i don't understand how the code is the same for which ever approach we take. If i looked at the code directly without looking at your explanation, i would think we are solving this problem exactly as we did for mcm or break stick problem which should not be the case as the approaches for the problems are totally different. Please help me understand this part. Thank you!

  • @AbhishekYadav-rm4hw
    @AbhishekYadav-rm4hw 11 месяцев назад +2

    THIS PROBLEM IS JUST AN MCM problem. I find this explanation a bit complicated than that approach.
    You just need to add 1 at the beginning and at the end, then just copy paste the same MCM code with the condition changed from finding min to max and that will work.
    I think you can see why, if anyone is facing issue let me know here, I'll explain.

    • @Priyasingh-xr6df
      @Priyasingh-xr6df 8 месяцев назад

      how it is working, can you share your code?

  • @prabhakaran5542
    @prabhakaran5542 3 месяца назад +2

    Understood ❤❤❤❤❤❤

  • @AlokSingh-jw8fr
    @AlokSingh-jw8fr 2 года назад +4

    "Minimum Cost to Merge Stones" Bhaiya please add this problem in your dp series . It's a humble request .
    I have gone through a lot of solution in leetcode discuss forum but nobody has explained the intuition . This problem was asked in agoda online coding round. It's a pretty important as well as the hardest dp problem i have ever encountered.

  • @ravivarmachaluvadi9158
    @ravivarmachaluvadi9158 2 года назад +2

    Hi Bro , you are mega star ⭐️ in creating this kind of tech content in YT ,love you lots 🙏

  • @iamnoob7593
    @iamnoob7593 8 месяцев назад +1

    US striver , Difficult one to think , If i was asked this , I would ask for a diff problem

  • @ritikshandilya7075
    @ritikshandilya7075 Месяц назад

    Thankyou so much for amazing explanation Striver

  • @DevashishJose
    @DevashishJose 7 месяцев назад

    Thank you so much Striver, Understood.

  • @abhisheknag1929
    @abhisheknag1929 6 месяцев назад

    Non intuitive not a single thought came to solve it like this even after knowing that it requires MCM 😭😭 .
    had to watch video for solution

  • @user-zc4mg1pi6w
    @user-zc4mg1pi6w 4 месяца назад +2

    i did not understand if u are considering it the last one then why didn't you multiply with 1 instead of neighbours????

  • @gauravchoudhary6253
    @gauravchoudhary6253 2 года назад +4

    Hey Striver Bhaiya, I have a doubt:-
    Why can't we follow it as we should leave both the numbers on the extreme ends. and from the left numbers we should start bursting the number which is the smallest. then 2nd smallest then 3rd and so on till the last number in between the both the extreme numbers ends. And then from the number which are last two extreme burst any one one of them first and and left number 2nd.
    eg:- [ 4,6,8,5,3,2,1,9]
    If this is the set remove the two numbers at the extreme ends:- 4,9 [6,8,5,3,2,1]
    Then start bursting the smallest number in the left set:- so the first number will be '1' == 2*1*9=18 4,[6,8,5,3,2],9
    then '2'== 3*2*9=54 4,[6,8,5,3],9
    then '3'== 5*3*9=135 4,[6,8,5],9
    then '5'== 8*5*9=360 4,[6,8],9
    then '6'==6*8*9=432 4,[8],9
    then '8'==4*8*9=288 [4,9]
    then left are 2 numbers which are 4,9. Now burst any number first let say I burst '4'==1*4*9=36 [9]
    then '9'==1*9*1=9 [ ]
    Total Sum=1332 and it will be maximum.
    Why can't we code using this method??? I am a FIRST YEAR STUDENT.

  • @VY-zt3ph
    @VY-zt3ph 2 года назад +3

    9:39 this is why you are here 😹😹😹

  • @bhushankorg5606
    @bhushankorg5606 Год назад

    Understood clearly need watch it 2 times

  • @baibhavdatta573
    @baibhavdatta573 2 года назад +4

    Bhaiya in Tabulation in the second nested loop why are we starting from j=1 and not j=i+1??? our j will always be on the right side of i isn't it? (just like in the last examples of partition dp)

    • @takeUforward
      @takeUforward  2 года назад +10

      Yes, u can, i just wrote a genric way, and then used the if statement inside

  • @kanwarsandhu5031
    @kanwarsandhu5031 Месяц назад

    better explanation that than neetcode guy

  • @ujjalsaha428
    @ujjalsaha428 2 года назад +2

    As always "understood" ❤️

  • @NikhilGupta-zo5jh
    @NikhilGupta-zo5jh 2 года назад +1

    Damn this is extremely awesome!!!

  • @sameersahu4569
    @sameersahu4569 2 года назад

    Thank you Striver!!Understood

  • @googleit2490
    @googleit2490 Год назад

    Understood :)
    Hard question, beautifully explained!!
    Aug'3,2023 04:14 pm

  • @vatsalyaa.m
    @vatsalyaa.m 5 месяцев назад

    i have a thought ... can we place a barrier between any 2 balloons like 1... {1,b1,1,b2,1,b3,1,b4,1,b5,1,b6,1}... so that every subproblem becomes independent? and we can calc the cost by moving 2 steps back and forth instead of 1... correct me if i am wrong...

  • @ratinderpalsingh5909
    @ratinderpalsingh5909 Год назад

    Understood, sir. Thank you very much.

  • @dhruvbajaj5079
    @dhruvbajaj5079 Год назад

    This is the best explanation out there.

  • @nikhil6842
    @nikhil6842 Год назад

    Definitely understood, great explaination

  • @arinmahapatro61
    @arinmahapatro61 3 месяца назад

    GOATed explanation!

  • @GungunRamchandani
    @GungunRamchandani 2 месяца назад

    Understood, thanks.

  • @AbhinavPundhir
    @AbhinavPundhir Год назад

    There should be a mention in the question that you can burst any number of ballons at a time because if have to burst one ballon at a time then we have to take max of the 2 recursion calls.
    Great explanation bhaiya as always
    🥰

  • @abhinavkumar6344
    @abhinavkumar6344 22 дня назад

    so great video, thanks

  • @harshkanani6605
    @harshkanani6605 Год назад

    Amazing explanation striver bhaiya!!! Thank you so much for such a wonderful content

  • @studynewthings1727
    @studynewthings1727 4 месяца назад +1

    understood

  • @sanyamwalia217
    @sanyamwalia217 Год назад

    Nice question... A head scratcher

  • @rutujawaghmode5354
    @rutujawaghmode5354 Год назад

    Hey I solved it on my own ❤ Thankyou

  • @abhimanyuraizada7713
    @abhimanyuraizada7713 Год назад

    Such a unique approach

  • @ramjivijayabaskar
    @ramjivijayabaskar 2 года назад +1

    Great Explanation Striver

  • @chase.2595
    @chase.2595 9 месяцев назад

    did it on my own :)) similar approach to dp 50

  • @bluesteel1
    @bluesteel1 6 месяцев назад

    If you dont want to modify the input array.
    class Solution {
    public int maxCoins(int[] nums) {
    return helper(nums, 0, nums.length - 1);
    }
    public int helper(int[] nums, int i, int j)
    {
    if(i > j)
    return 0;

    int max = Integer.MIN_VALUE;
    for(int k = i; k

  • @ganeshkamath89
    @ganeshkamath89 2 года назад

    Thanks Striver. Understood.

  • @srinathv1412
    @srinathv1412 7 месяцев назад

    In leetcode it gives signed integer overflow, Can anyone explain why?
    even If i store the coins and remainingCoins in long long, still this issue is there.

  • @VikashYadav-px8ei
    @VikashYadav-px8ei Год назад +1

    Understood 🎉

  • @gurmeharsingh7251
    @gurmeharsingh7251 3 месяца назад

    simply the best !

  • @HariSarvotama
    @HariSarvotama 2 года назад +1

    Amazing explanation !!

  • @UECAshutoshKumar
    @UECAshutoshKumar 2 месяца назад

    Thank you!
    Understood!

  • @piyushmakad4768
    @piyushmakad4768 10 месяцев назад

    Striver please...can you explanation of Merging Stones (leetcode hard) problem...I searched many yt channel but still confused...please help

  • @1tav0
    @1tav0 2 года назад

    understood!!! thank you so much sir

  • @Hrushi_2000
    @Hrushi_2000 11 месяцев назад

    Thankyou sir. Understood.

  • @shivamshrey47
    @shivamshrey47 Год назад

    The Python3 versions of the solutions exceed the time limit (TLE) on LeetCode.

  • @SWE_69
    @SWE_69 Год назад

    thanks able to solve on my own.

  • @rakeshkumaryadav1117
    @rakeshkumaryadav1117 Месяц назад

    On 14:0 what means by 1,5 is the range??

  • @rhythmbhatia8906
    @rhythmbhatia8906 Год назад +2

    Thanks for the good explanation for Memoization. But tabulation explanation was poor. Please explain state in dp. What does dp[i][j] store? We require intuition for tabulation and not shortcuts.

    • @takeUforward
      @takeUforward  Год назад +2

      The intuition comes from recursion, whatever i and j were in recursion, its the same in iteration as well, Since you memoize dp[i][j], you must be knowing what it means when you memoizing, its the same in iterative.
      I am sorry, but people who tend to look for everything fetched on their plate end nowhere. Good luck, apply brains, everything is there in the lecture.

    • @rhythmbhatia8906
      @rhythmbhatia8906 Год назад

      @@takeUforward I got it now. Thanks. I too think that I have got a bad habit of looking for everything served on my plate. Starting to correct it.

  • @aryanyadav3926
    @aryanyadav3926 2 года назад +1

    Brilliant!

  • @supradeepch6234
    @supradeepch6234 2 года назад +1

    hey striver..!!
    can you explain boolean parenthesization probblem

  • @coolgaurav5163
    @coolgaurav5163 Месяц назад

    UNDERSTOOD

  • @anshumaan1024
    @anshumaan1024 Год назад +1

    Understood !! that I haven't understood 🙃🙃

  • @codewithpranjay9618
    @codewithpranjay9618 2 года назад +1

    hey striver my recursive code is giving stackoverflow, cant handle it.
    Please help

  • @vedantkavi6180
    @vedantkavi6180 Год назад

    Can anybody tell why we are sorting the array in Min cost to cut stick and not in this?
    And how to know when should we sort the array and when to not??

  • @rishabhagarwal8049
    @rishabhagarwal8049 2 года назад

    Understood Sir Thank u very much

  • @tasneemayham974
    @tasneemayham974 9 месяцев назад

    Hey!!
    Striver, I have a question, please. Or anyone who might help. You said we can't burst a balloon from the original array directly because that will make it have dependencies on the next element after b4 bursts. Now, what if, we burst b4, remove it out of the array, then add 1 in its place? Also we will add 1 in the next array's 0th index. Would that work?
    a = [b1 b2 b3 b4 b5] (b3 BURST )-----------> vector A = 0-> ind-1 A3 BURST A.add(1); A.insert(A.begin(),1);
    vector B = ind+1 -> n B.add(1); B.insert(B.begin(),1);
    cost = f(1,A.size()-1) * a[ind] * f(1,B.size()-1);
    P.S.: I haven't tried this code. It is a question of why won't this work? Please if anyone knows, may you help me out?!
    AND THANK YOUUU STRIVER FOR THE AMAZING VIDEOSS!!!!!!

  • @ShubhamKumar-fn5be
    @ShubhamKumar-fn5be Год назад

    Understood BTW its just similar to cut the stick problem😂😂

  • @nanduriamrutha1552
    @nanduriamrutha1552 10 месяцев назад +1

    thank you !!

  • @AgnivaBanerjee6
    @AgnivaBanerjee6 Год назад

    class Solution {
    public:
    //Very minor changes to 1547. Minimum Cost to Cut a Stick Problem
    // Which baloon should I burst first? -------> WRONG APPROACH -----> dependant subproblems
    // Let this baloon be the last baloon to be burst ----> CORRECT
    int func(int left,int right,vector& cuts,vector& rod,vector& dp)
    {
    if(left>right) return 0;
    if(dp[left][right]!=-1) return dp[left][right];
    int ans=INT_MIN; //CHANGE
    for(int cutatindex=left;cutatindex

  • @jaishriharivishnu
    @jaishriharivishnu Месяц назад

    Nice one !!!

  • @madhurjyasaha6798
    @madhurjyasaha6798 Год назад

    the explanation is excellent

  • @ahanavishwakarma3956
    @ahanavishwakarma3956 2 года назад +2

    Can you please explain how to know that a question requires a partial DP approach?

    • @aryansinha1818
      @aryansinha1818 Год назад

      Good question. Did you find the answer?

    • @ahanavishwakarma3956
      @ahanavishwakarma3956 Год назад

      @@aryansinha1818 no

    • @mankritsingh
      @mankritsingh Год назад +2

      THe questions that have to be solved in a particular way are usally solved using partition dp.
      These questions may have different answer depending on the way we solve eg maths equation with bracket and without bracket,MCM etc
      multiple way to solve and have to find the best way to solve.

    • @mankritsingh
      @mankritsingh Год назад +1

      @@aryansinha1818 THe questions that have to be solved in a particular way are usally solved using partition dp.
      These questions may have different answer depending on the way we solve eg maths equation with bracket and without bracket,MCM etc
      multiple way to solve and have to find the best way to solve.

  • @saurabhrthakur
    @saurabhrthakur 4 месяца назад

    Understood

  • @coding8000
    @coding8000 2 года назад

    Understood, thank you bhaiya.