Longest Increasing Subsequence - Dynamic Programming - Leetcode 300

Ғылым және технология

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Problem Link: neetcode.io/problems/longest-...
0:00 - Read the problem
1:45 - Brute Force Solution
2:58 - DFS Solution
10:55 - Dynamic Programming Solution
15:35 - Coding Solution
leetcode 300
This question was identified as a Google interview question from here: github.com/xizhengszhang/Leet...
#LIS #subsequence #python
Disclosure: Some of the links above may be affiliate links, from which I may earn a small commission.

Пікірлер: 304

  • @NeetCode
    @NeetCode3 жыл бұрын

    🚀 neetcode.io/ - A better way to prepare for Coding Interviews

  • @Herald50
    @Herald502 жыл бұрын

    Will never forget my first day on the job where a customer requested a feature to find the longest increasing sub-sequence. A totally valid way to test someones competency as a developer

  • @btKaranDhar

    @btKaranDhar

    2 жыл бұрын

    Your sarcasam is depressive and hence ironic

  • @kotb2000

    @kotb2000

    2 жыл бұрын

    It is important to understand the idea of subsequences, use memory efficiently and understand complexities of exponentially increasing subroutines. A good Programmer is not the one who solves it the first time seeing it. A good Programmer is the one who understands all the dimensions of the problem and Learn as much as he can about underlying intuitions. and remember when Tony Hoare first made Quick Sort He didn't say I am not going to face a situation where I sort a customer's Needs. His attitude as any computer scientist when making a helpful research or an idea was If I am able to think How to sort and even invent a sorting algorithm then I am going to be able to satisfy my Customer needs who were Future Generations that used Quick sort in every Customer related Situation . Good bye.

  • @francisconovoa6493

    @francisconovoa6493

    2 жыл бұрын

    @@kotb2000 gg

  • @zweitekonto9654

    @zweitekonto9654

    2 жыл бұрын

    Which interviewer hurt you bro

  • @VibeBlind

    @VibeBlind

    2 жыл бұрын

    @@zweitekonto9654 All of them

  • @lugiadark21
    @lugiadark213 жыл бұрын

    Please keep that tone and speed of voice. It really helps to "understand" the solution. All of us are here to "understand" the solution not just for a solution. You will do great my dude.

  • @shubhamsinghrawat6928

    @shubhamsinghrawat6928

    2 жыл бұрын

    This how you except a google engineer

  • @AnupBhatt

    @AnupBhatt

    5 ай бұрын

    You can change the playback speed on KZread to make it go faster or slower. In case you find a problem that some other youtuber has solved, that Neetcode hasnt solved yet, use that feature.

  • @srinadhp
    @srinadhp2 жыл бұрын

    You sir. Are the savior. Your made it so simple - some times you make me guilty why I could not think of it. Keep them coming!

  • @dj1984x
    @dj1984x10 ай бұрын

    "I really doubt your interviewer is going to expect you to get this without a hint; if they do I'd just walk out of the room" Probably worked great up until the layoffs 😥

  • @MaxFung

    @MaxFung

    3 ай бұрын

    yep, now it feels like every other interview problem has been next level. still some easies out there though :(

  • @director8656
    @director86563 жыл бұрын

    Thanks, great explanation as usual, who needs cracking the coding interview when this exists!

  • @anushkachakraborty8635
    @anushkachakraborty86352 жыл бұрын

    That was so simple and an epic explanation of how you can start thinking about approaching this problem. Being a beginner at dp, your videos help me understand how to start approaching a problem :) Thankyou!

  • @DanhWasHere
    @DanhWasHere3 жыл бұрын

    This explanation went down so smooth -your voice was very easy to follow and your diagrams weren't sloppy and not complex to understand -this might be the cleanest solution I have seen for this problem for beginners to study!

  • @jagrutitiwari2551
    @jagrutitiwari2551 Жыл бұрын

    Thank you for letting us know when we should walk out of the room. And what difficulty to expect in the interview :)

  • @quocnguyeninh32
    @quocnguyeninh322 жыл бұрын

    Your explanation is so great. The tone, voice, and the way you say are so clear. Thank you so much

  • @TheDeepsz
    @TheDeepsz3 жыл бұрын

    Thanks for such a great explanation, I searched for it so many places, but I didn't find anything more than the formula. This video should have more likes.

  • @pujasonawane
    @pujasonawane3 жыл бұрын

    I got it crystal clear now. You explained it very well. Thanks a lot.

  • @jerrybao1934
    @jerrybao193411 ай бұрын

    Thank you for the clear explanation! For those wondering why going backwards in dynamic programming, you can actually solve this in forward dynamic programming, start from the beginning, too.

  • @redomify
    @redomify3 жыл бұрын

    thank you omgosh this really is the best explanation one can find for this question on youtube

  • @huseyinbarin1653
    @huseyinbarin16532 жыл бұрын

    DP always surprises me. What a good approach. Thank you

  • @medievalogic
    @medievalogic3 жыл бұрын

    excellent! This taught be how to choose subarrays recursively, and then the problem is trivial. Thanks a bunch.

  • @akhtarzaman2189
    @akhtarzaman21892 жыл бұрын

    "I'd just walk outta the room" you solve your own problem Mr interviewer LOL

  • @thatguy14713
    @thatguy147132 жыл бұрын

    Easily the best channel for leetcode solutions. So easy to understand and code is always clean and concise. Hats off to you, Neetcode!

  • @BadriBlitz
    @BadriBlitz3 жыл бұрын

    Superb Explanation.Anyone having doubt in leetcode can refer this channel.Excellent video bro.I was struggling for this problem you made it clear.Thank you.

  • @sathyanarayanankulasekaran5928
    @sathyanarayanankulasekaran59282 жыл бұрын

    this is brilliant, I wonder who can think of this solution for the first time during the interview

  • @dominikilja
    @dominikilja Жыл бұрын

    This was a great explanation! I struggled with this, but I'm happy to learn some new techniques!

  • @ece-a036nischintasharma5
    @ece-a036nischintasharma5 Жыл бұрын

    Was unable to wrap my head around this one. Your explanation was so nice!!

  • @HC-xh6mh
    @HC-xh6mh3 жыл бұрын

    The best explanation video I have watched so far!

  • @handuongdinh9290
    @handuongdinh92902 жыл бұрын

    The video made it very easy to understand. Thank you for making this video. Keep up the work. I’m looking forward to view yours next videos.

  • @sachin_yt
    @sachin_yt2 жыл бұрын

    One of the best solutions ever. thank you.

  • @priyanshupareta9328
    @priyanshupareta93283 жыл бұрын

    Best explanation out there!! Thank you for your efforts.

  • @d5lw2g
    @d5lw2g2 жыл бұрын

    this is amazing, thank you for your hard work

  • @JayPatel12928
    @JayPatel129282 жыл бұрын

    Man this is the best video so far on this problem ✊🏻

  • @kineticsquared
    @kineticsquared6 ай бұрын

    Wow, what a great explanation! Thank you for the detailed step-by-step example.

  • @irinagrechikhina9538
    @irinagrechikhina95383 жыл бұрын

    Great explanation, as usual, thank you! :)

  • @shuvo0201
    @shuvo02013 жыл бұрын

    Awesome! Very clear and thorough explanation 🙂

  • @linhdinh136
    @linhdinh1363 жыл бұрын

    Thank you very easy to understand and follow. I had problem understanding the solution on leetcode :)

  • @gargichaurasia4103
    @gargichaurasia41033 жыл бұрын

    You are great.. you explained it very well. Thank you so much!

  • @diksha8347
    @diksha8347 Жыл бұрын

    This explaination is so so good. Thank you.

  • @amitupadhyay6511
    @amitupadhyay65112 жыл бұрын

    I came for that nlogn solution. But again, thanks for the tremendous help as usual

  • @annabellesun4719
    @annabellesun47192 жыл бұрын

    another day watching neetcode to help me with leetcode. Thank you!

  • @RajasekharReddi
    @RajasekharReddi4 ай бұрын

    Excellent oration of the logic and the ending is at another level.

  • @amardeepbhowmick3614
    @amardeepbhowmick36143 жыл бұрын

    This is GOLD!

  • @nepa8678
    @nepa8678 Жыл бұрын

    You are awesome. Please keep it coming.

  • @Sandeepkumar-uv3rp
    @Sandeepkumar-uv3rp3 жыл бұрын

    Really very helpful, explained in a crystal clear manner👌👌

  • @alex-gz7ud
    @alex-gz7ud3 жыл бұрын

    Clear explanation! I believe you are the rising star in solving leetcode problem.

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    haha, thanks I appreciate the kind words

  • @paul90317
    @paul90317 Жыл бұрын

    even if it's not the best solution, it's the best tutorial for LIS I've ever seen

  • @realoctavian
    @realoctavian11 ай бұрын

    finally a good explanation and solution for this, thanks!

  • @christendombaffler
    @christendombaffler8 ай бұрын

    Yeah, I agree that being expected to find the O(nlogn) solution is walkout tier. I came damn close to figuring it out: use an ordered set to keep track of the elements you've inserted so far so that you can easily find the greatest value that's smaller than or equal to your current one. From here, assuming nums[i] is not your maximum thus far, there are two ways, and figuring out either of them is easily upper Hard level: either you actually delete the value you've found (the fact that this works because it means you can just return the size of your set at the end is incredibly unintuitive), or you mess with the way you store everything in the set so that you can still retrieve the index of the value corresponding to your found value (which is awful to implement).

  • @SunsetofMana

    @SunsetofMana

    Ай бұрын

    Why would deleting the value you found work? If you have input array [2,3,1,5,6] you cannot delete the value found at 5 when you see the 1, because then you cannot use it for the actual longest subsequence of 2,3,5,6 Tbh the approach of using a heap to store the subsequence length cache is quite reasonable imo… it’s annoying to implement but quite straightforward as an obvious improvement. If you know how to solve heap problems, which are based on the premise that a heap is a priority queue, why not just apply that here when you are searching for the largest element?

  • @alfamatter12
    @alfamatter12 Жыл бұрын

    That sarcasm at the end made me laugh like hell😂😂😂! I'm also walking out from this problem

  • @bennypham4337
    @bennypham43373 жыл бұрын

    Really helped me out to understand this question!

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    Thanks, I'm glad it was helpful!

  • @rajatsrivastava555
    @rajatsrivastava555 Жыл бұрын

    Thanks for the explanation @neetcode , code in java : class Solution { public int lengthOfLIS(int[] nums) { int dp[] = new int[nums.length]; Arrays.fill(dp, 1); for (int i = nums.length - 1; i >= 0; i--) { for (int j = i-1; j >=0; j--) { if (nums[i] > nums[j]) { dp[j] = Math.max(dp[j], 1 + dp[i]); } } } int maxLIS = 0; for (int i = 0; i maxLIS = Math.max(maxLIS, dp[i]); } return maxLIS; } }

  • @thetechies2259
    @thetechies2259 Жыл бұрын

    last statement : 'walk out of the room' really made me laugh😂😂.. that's the attitude

  • @The6thProgrammer
    @The6thProgrammer8 ай бұрын

    Not sure why, but this one felt much easier than the prior 3-4 problems in the Neetcode Dynamic Programming learning path. Got it on my first try, and solved it exactly the way Neet did. Just goes to show the value of the Neetcode Roadmap, and how the patterns start to solidify in your mind over time.

  • @engineersoftware4327

    @engineersoftware4327

    7 ай бұрын

    That's correct, I feel the same way

  • @username-zs6dv
    @username-zs6dv9 ай бұрын

    noticing the subproblem 'is there an increasing subsequence with length m' is O(n), and m is between 1 and n, we can use binary search and get overall complexity O(nlogn). But it is way neater with DP

  • @vivekjoshi9073
    @vivekjoshi9073 Жыл бұрын

    Thank you sir best explanation able to do in other programming language easily and concept is clear

  • @mohit8299
    @mohit8299 Жыл бұрын

    very nicely explained bro thanks a lot

  • @user-xo8td6sn5z
    @user-xo8td6sn5z3 жыл бұрын

    Best explaination!

  • @mrProgrammingGeek
    @mrProgrammingGeek2 жыл бұрын

    beautiful explanation!

  • @RishinderRana
    @RishinderRana5 ай бұрын

    Agreeing with everything except the walking out part :)

  • @dcc5244
    @dcc52444 ай бұрын

    博主讲的真好!

  • @roxanamoghbel9147
    @roxanamoghbel91472 жыл бұрын

    you're dynamic programming videos are all so well explained and helpful

  • @mycityofsky
    @mycityofsky2 жыл бұрын

    Thanks, an excellent explanation!

  • @NeetCode

    @NeetCode

    2 жыл бұрын

    Thanks!

  • @goshikvia
    @goshikvia2 жыл бұрын

    Optimal Approach O(nlogn) bisect_left is a python function which gives the lower bound of the element in O(logn) time. bisect_left(array, element, start, end) class Solution: def lengthOfLIS(self, arr: List[int]) -> int: subs = [arr[0]] for i in range(1,len(arr)): if arr[i] > subs[-1]: subs.append(arr[i]) else: subs[bisect_left(subs, arr[i], 0, len(subs))] = arr[i] return len(subs)

  • @davidespinosa1910

    @davidespinosa1910

    2 жыл бұрын

    So if arr = [1,3,4,2], then subs = [1,2,4] ? That's not a subsequence. And yet it works. The mystery deepens... :-)

  • @paulancajima

    @paulancajima

    2 жыл бұрын

    @@davidespinosa1910 Yeah, the problem asks for the longest increasing subsequence. So, this will still give you the correct length just not the subsequence itself

  • @keviniori
    @keviniori2 жыл бұрын

    really good tutorial!

  • @anandkrishnan72
    @anandkrishnan72 Жыл бұрын

    "I really doubt your interviewer is gonna expect you to get the O(n logn) solution without a hint. If they do, I would personally just walk out of the room." XDDDDD

  • @noorbasha8725

    @noorbasha8725

    9 ай бұрын

    This happen with me yesterday, he didnt given any hint, result is i failed the interview

  • @santoshkadam8431
    @santoshkadam843111 ай бұрын

    Wow great explanation!

  • @asdfasyakitori8514
    @asdfasyakitori85148 ай бұрын

    Great video

  • @srikanthvimjam9753
    @srikanthvimjam97533 жыл бұрын

    Really nice explanation. Your video saved me lot of time.

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    Thanks!

  • @srushtinarnaware4919
    @srushtinarnaware4919 Жыл бұрын

    Thank You so much

  • @MerlynJohnson
    @MerlynJohnson3 жыл бұрын

    whether it should be if nums[i] < nums[j] or if nums[j] < nums[i]

  • @theysay6696
    @theysay66962 жыл бұрын

    "I would personally just walk out the room" LOL

  • @dhg40
    @dhg402 жыл бұрын

    Best explain ever!

  • @begula_chan
    @begula_chan4 ай бұрын

    Thanks man!

  • @asdfasyakitori8514
    @asdfasyakitori85148 ай бұрын

    Man 8 lines of code is all it takes, grate solution

  • @nightmarauder2909
    @nightmarauder29092 жыл бұрын

    lol you kept typing LIST great explanation, thanks!

  • @dhanrajbhosale9313
    @dhanrajbhosale9313 Жыл бұрын

    End was epic 😄.. "I'll probably walk out of interview"🙃

  • @chaitrabhat8199
    @chaitrabhat81998 ай бұрын

    Neat Explanation

  • @rubenomarpachecosantos7130
    @rubenomarpachecosantos71302 жыл бұрын

    "I would personally just walk out the room" haha

  • @thetrends5670
    @thetrends5670 Жыл бұрын

    🎵 this is two, and this is two, so it doesn't really matter, which one we do. 🎵 Music by Neetcode at 13:34

  • @prempeacefulchannel
    @prempeacefulchannel2 жыл бұрын

    It’s looks easier after your explanation 👏🏻

  • @NeetCode

    @NeetCode

    2 жыл бұрын

    Glad it was helpful!

  • @xeon789
    @xeon789 Жыл бұрын

    thank u so much

  • @bubbletea8793
    @bubbletea87932 жыл бұрын

    thanks man pt. 2

  • @robyc9545
    @robyc9545 Жыл бұрын

    It is interesting that you calculated DP from right to left. I think it also works if you do from left to right.

  • @briankarcher8338

    @briankarcher8338

    Жыл бұрын

    Yes it works both directions.

  • @kevinkkirimii

    @kevinkkirimii

    Жыл бұрын

    @@briankarcher8338 i thought so.

  • @gritcrit4385
    @gritcrit4385Ай бұрын

    DFS: O(2^n) DP: O(n^2) Binary search: O(n logn)

  • @juliahuanlingtong6757
    @juliahuanlingtong67573 жыл бұрын

    Great demostration starting from brute force, work way up to memoization and then leads naturally to dp!!! So Nice and easy it becomes with your approach! 1 question though: Why work from end backwords? How did you get the instinct?Could you please share your thougghts?

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    I'm used to working from the end backwards because it's similar to the recursive approach. But it's possible and maybe more intuitive to start at the beginning. Whatever makes sense for you is the best approach I think.

  • @eltonlobo8697

    @eltonlobo8697

    2 жыл бұрын

    Example: [1,4,2,3], While computing longest common subsequence starting from index 0, the number at index 2, will be used. While computing longest common subsequence starting from index 1, the number at index 2 will be used. What i mean by "Will be used" is i am asking a question: What is the longest common subsequence starting from index 2. So if we had started computing longest common subsquence from backwards, then when we compute longest common subsquence for index 0 and 1, we already have the answer for longest common subsequence starting from index 2 stored.

  • @th3tagang
    @th3tagang3 жыл бұрын

    great explanation!

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    Thanks!

  • @lucaslorenzo6249
    @lucaslorenzo62496 ай бұрын

    the absolute goat

  • @ayush3032
    @ayush3032 Жыл бұрын

    Please cover follow-ups also. BTW great explanation.

  • @killerthoughts6150
    @killerthoughts61503 жыл бұрын

    it would be great to see the n log n approach

  • @eduardoignacioroblessosa6349

    @eduardoignacioroblessosa6349

    4 ай бұрын

    was looking for this comment

  • @vietnguyenquoc4948
    @vietnguyenquoc49484 ай бұрын

    IDK why but your voice in this video sounds really calming

  • @sudhaarulmani9218
    @sudhaarulmani92182 жыл бұрын

    Thanks!

  • @NeetCode

    @NeetCode

    2 жыл бұрын

    Thank you so much!

  • @danielmdubois
    @danielmdubois Жыл бұрын

    Great video, much appreciated. However, I didn't understand the logical jump at @10:40 that suggested we were "starting at 3". I would have preferred to see a solution that proceeded front-to-back, because it seemed to me that is what you were doing in the recursive solution.

  • @kumargauravsingh2094
    @kumargauravsingh20942 жыл бұрын

    Elegant , great explanation .The video made it very easy to understand. 💭 Why I am not think like this ?. Thank you

  • @ibrahimalshubaily9520
    @ibrahimalshubaily95209 ай бұрын

    Ty

  • @ildar5184
    @ildar51846 ай бұрын

    No need to complicate it further by doing reverse looping, from 0 to n works just fine with the same function of max(lis[i], 1+lis[j]) for i=0 to n, j=0 to i if nums[j]

  • @dhruvkhurana9235
    @dhruvkhurana9235 Жыл бұрын

    "I would personally just walk out of the room" I'm dead

  • @ajithkumarspartan
    @ajithkumarspartanАй бұрын

    When i feel its so hard to learn DSA problem and crack FAANG like companies my mind tells me "neetcode" and after seeing the video explanation i become calm and motivated to proceed further.

  • @harishsn4866
    @harishsn48662 жыл бұрын

    since we have already assigned LIS with value 1 for the length of nums, in the first for loop, we can start from len(nums) - 2 instead of len(nums) -1.

  • @winterheat
    @winterheat Жыл бұрын

    11:34 I think using the name LIS[ ] is not a good choice, as you may think the final solution is LIS[0] this way. The strict definition of this lookup table, let's call it lookup[ ] is this: IF YOU TAKE THAT NUMBER nums[i] into the sequence, then what is the longest you can get. So lookup[i] IS IF YOU MUST INCLUDE nums[i] into that sequence. If you write LIS[i], it sounds like it is the max NO MATTER you include nums[i] or not, which is not the case. So that's why in the code that follows, the final result is not LIS[0], but max(LIS)

  • @protyaybanerjee5051
    @protyaybanerjee5051 Жыл бұрын

    "Personally, I would walk out of the room" - Yeah, man!

  • @yahwehagape
    @yahwehagape3 жыл бұрын

    Great explanation. Curious about nlogn solution now.

  • @NeetCode

    @NeetCode

    3 жыл бұрын

    Thanks!

  • @souryadeepmukherjee7702
    @souryadeepmukherjee7702 Жыл бұрын

    Thanks for the solution and simple and easy to understand explanation. However I wanted to ask why you initialized the outer loop like that because the first iteration of the inner loop won't happen because we initialize i as 4 right?

  • @somakkamos
    @somakkamos Жыл бұрын

    Damnnnnnn this was the bestest explanation everrrrrrr…..even better than clement

  • @mikemartin6748
    @mikemartin67483 жыл бұрын

    Why do you not cover the best solution: dynamic programming with binary search? That's the one I'm looking for because you need it to solve later problems like the Russian Doll Envelopes.

  • @CostaKazistov

    @CostaKazistov

    Жыл бұрын

    AlgoExpert covers it

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