LeetCode 238. Product of Array Except Self (Solution Explained)

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Пікірлер: 126

  • @jelliott1458
    @jelliott14584 жыл бұрын

    How the hell are you supposed to figure this out without knowing the “ah-ha” trick?

  • @leomonz

    @leomonz

    4 жыл бұрын

    It is more like math. Have to exercise more look at more problems and solutions. SO that is right coding interview is not easy. a lot trick questions

  • @shrimatkapoor2200

    @shrimatkapoor2200

    3 жыл бұрын

    Do loads of problems, your brain will start thinking like that

  • @SakshamArmstrong123

    @SakshamArmstrong123

    3 жыл бұрын

    @@shrimatkapoor2200 that's still like learning all the "ah-ha" tricks until you have learnt sufficiently enough to solve the current scope of problems. It essentially isn't "thinking like that" but "applying like that".

  • @Hyperian

    @Hyperian

    3 жыл бұрын

    i hate that the answer is just 'practice more' on basically math puzzles, but it's the least worst answer.

  • @miramar-103

    @miramar-103

    3 жыл бұрын

    likely you will not - and is why this style of tech interview is so fundamentally broken ...

  • @grootz2820
    @grootz28204 жыл бұрын

    Thanks a lot! The transition from 2 arrays to 1 becomes really intuitive.

  • @BrentSnider
    @BrentSnider4 жыл бұрын

    Great video! Love that you solved it first with the extra space and then simplified, much easier to follow.

  • @RakaChowdhuryUK
    @RakaChowdhuryUK9 ай бұрын

    Whenever I need to find a solution to any Leetcode problem I look into your channel first. None other explains like you do! Claps claps 👏👏

  • @edwardnewgate2198
    @edwardnewgate21984 жыл бұрын

    Hey thanks for mentioning the difficulty in the thumbnail itself- keep up the great work!

  • @louismontes6632
    @louismontes66322 жыл бұрын

    This was a really excellent explanation. I went through it a couple times but the code was just intuitive after the explanation! Your videos really help a lot man. Thanks!

  • @fcsie
    @fcsie3 жыл бұрын

    ive watched several videos of this problem and yours has the best explanation by far. Thanks!

  • @kickhuggy
    @kickhuggy3 жыл бұрын

    I get it, but I don't get how you're supposed to figure this out in a 30 min interview and I've done a few of these. I don't think the person who came up with this problem did it in 30 mins, do they just expect people to have done all these problems before?

  • @sherlockstark1706

    @sherlockstark1706

    2 жыл бұрын

    Possibly, they would give the hint but, I think they want you to think in the direction for saving space rather than knowing the trick to solve it. I can't speak for every recruiter though XD

  • @AlFredo-sx2yy

    @AlFredo-sx2yy

    Жыл бұрын

    you're not supposed to figure this out in 30 mins. The people who came up with this algorithm were computer scientists that did it over years of research papers and improving each other's work. Just as any interview question, this once was a recently created algorithm, which eventually became common knowledge and now interviewers expect you to know all of this stuff as if we were all 69 thousand times smarter than the people that came up with these algorithms.

  • @kickhuggy

    @kickhuggy

    Жыл бұрын

    Quick update, right after this post I ended up getting lucky and joining fang lol. Extra emphasis on LUCKY

  • @AlFredo-sx2yy

    @AlFredo-sx2yy

    Жыл бұрын

    @@kickhuggy you think working for fang is being "lucky"?

  • @kickhuggy

    @kickhuggy

    Жыл бұрын

    @@AlFredo-sx2yy i meant I got lucky on the interview, but yeah I get paid half a mil to work remote, doing what I love and traveling. Could be worse

  • @shadowthehedgehog2727
    @shadowthehedgehog27272 жыл бұрын

    I just solved this today, but wow you really made it click for me when you said pretty much everything to the left of x times everything to the right of x. NOW it makes sense. Thank you Nick.

  • @nullnull8685
    @nullnull86854 жыл бұрын

    Thank you for the first solution! Made SO much more sense than the leetcode answers..

  • @Sandboxcode
    @Sandboxcode3 жыл бұрын

    Really loved this explanation. Thanks. Man what a bummer, leetcode's Solution is locked unless you're Premium atm. Good thing this video is out there

  • @suharajsalim4549
    @suharajsalim45493 жыл бұрын

    I am seriously addicted to his videos!

  • @leezhenjian7451
    @leezhenjian74516 ай бұрын

    Thanks nick. as a beginner this question really fried me. it is nice to have a clean explanation.

  • @svdfxd
    @svdfxd4 жыл бұрын

    As usual, great explanation.

  • @ezekieledak
    @ezekieledak3 жыл бұрын

    How long does it take you to understand this problem and how many practices to grasp it well ? also as of now can you still do this in under 30mins?

  • @omgharajuku
    @omgharajuku6 ай бұрын

    Thank you! I was always confused about this problem but now I get it

  • @mr.plua123
    @mr.plua1238 ай бұрын

    is there a textbook you might recommend for someone wanting to improve their understanding of Data Structures and Algorithms?

  • @robinlam5038
    @robinlam50384 ай бұрын

    This example is so good and clear!!

  • @samandarboymurodov8941
    @samandarboymurodov8941 Жыл бұрын

    Thank you, Nick. It is a great explanation!

  • @lilyh4573
    @lilyh45732 жыл бұрын

    Thanks Nick! Boy I did hate this question

  • @arthurmastropietro5261
    @arthurmastropietro526111 ай бұрын

    great video! i have a question: you said that would be very easy to do this using division. Ok, for the first case [1,2,3,4] it works. But for the second case [-1,1,0,-3,3] how would you solve this using the division method?

  • @skumakerguitar8708
    @skumakerguitar87082 жыл бұрын

    what space complexity for this ?

  • @kaiserkonok
    @kaiserkonok Жыл бұрын

    Awesome Explanation. Thank you so much🔥

  • @calp8395
    @calp83952 жыл бұрын

    Great explanation on the solution but I was looking for why the product from both directions equals the result we are after.

  • @ploratran
    @ploratran3 жыл бұрын

    very well explained. Thank you!

  • @tharunprabakaran
    @tharunprabakaran4 жыл бұрын

    You are awesome, Thanks alot !

  • @gamesandstuff4188
    @gamesandstuff4188 Жыл бұрын

    We need more guys like you

  • @jocavuleta
    @jocavuleta4 жыл бұрын

    Great explanation, appreciate it!

  • @thedanglingpointer8411
    @thedanglingpointer84114 жыл бұрын

    Great video. I have a query - if we haven't seen such category of problem what is the likelihood of coming up with the most optimal solution in 30-35 mins. I have solved around 70-80 problems in leetcode, and occasionally there are such questions which stump me. Now I have seen this, so a variety of this should be easy! Does this mean we have to solve a huge numbers of problem, and hope that the problems asked at FAANG interview is a variety of what I have seen before ?

  • @sanskarkaazi3830

    @sanskarkaazi3830

    2 жыл бұрын

    Same question..

  • @abhishekpolicepatil2829
    @abhishekpolicepatil28294 жыл бұрын

    Beautiful explanation!

  • @aakritirastogi1660
    @aakritirastogi16604 жыл бұрын

    The second solution blew my mind! Loved it. Thanks!

  • @monkeytrollhunter
    @monkeytrollhunter4 жыл бұрын

    I can think of a bruteforce way but this would be n^2 which would be stupid. Thank you

  • @rebechkah
    @rebechkah Жыл бұрын

    This was the interview question i had for the amazon internship

  • @usa5450

    @usa5450

    Жыл бұрын

    When?

  • @rishabhrajpathak8347
    @rishabhrajpathak83472 жыл бұрын

    2:20 also if the array contains 0 then it will give error, as you cannot divide a number by 0. Am i right????

  • @NickKravitz
    @NickKravitz4 жыл бұрын

    I got this problem as a take home interview. One detail you didn't mention is checking for zeros. Once you hit a zero, that's the only element that needs to be calculated. Once you hit two zeros the problem is over and you return all zeros.

  • @solaimanjawad5015

    @solaimanjawad5015

    4 жыл бұрын

    Why would you need to 'check' for zeroes? Zeroes automatically sort themselves out given you're doing the multiplication right.

  • @JM_utube

    @JM_utube

    4 жыл бұрын

    @@solaimanjawad5015 it's a little optimization

  • @ByteMock
    @ByteMock4 жыл бұрын

    Great idea for a question, we will ask this one soon!

  • @vivekgr3001
    @vivekgr30014 жыл бұрын

    very nice explanation:)

  • @huansir1922
    @huansir19222 жыл бұрын

    easy to understand , thanks

  • @mysterygirl191
    @mysterygirl1913 жыл бұрын

    amazing explanation

  • @Karthik__S_554
    @Karthik__S_55411 ай бұрын

    excellent!!! thank u bruh

  • @bisujin1685
    @bisujin16854 жыл бұрын

    thumbs up before watching the video

  • @sehajpreetsingh4177
    @sehajpreetsingh41772 жыл бұрын

    That is a clever solution.

  • @justworkfine321
    @justworkfine3213 жыл бұрын

    what time complexity is when it done with division?

  • @sherlockstark1706

    @sherlockstark1706

    2 жыл бұрын

    I think - 2n i.e. O(n) you loop once to find the entire product and then you loop again to find individual answer by dividing itself from entire product

  • @AlFredo-sx2yy

    @AlFredo-sx2yy

    Жыл бұрын

    division is slightly slower than multiplication on the processor, but that doesnt really matter. The main reason they hint you not to divide is because of the number 0. Just think about this: What is something divided by 0?

  • @shrirambalaji2109
    @shrirambalaji21092 жыл бұрын

    thank you Nick

  • @yuvrajdarekar3494
    @yuvrajdarekar34943 жыл бұрын

    Thanks man🤩

  • @ritesh4165
    @ritesh41654 жыл бұрын

    u rock man!

  • @shubhamtiwari6660
    @shubhamtiwari66604 жыл бұрын

    Clean solution dude. Thanks!!!!

  • @SYD_Technologies

    @SYD_Technologies

    4 жыл бұрын

    Please can u tell me why he declared int[ ] array _name= new int[ ]; What is the use of new and declaration of it

  • @verushannaidoo9450

    @verushannaidoo9450

    3 жыл бұрын

    @@SYD_Technologies It declares the array on the heap. You can google about dynamic allocation vs static allocation

  • @diegotrujillo6284
    @diegotrujillo62845 күн бұрын

    You're a GOD Nick

  • @ZEE-fs6hv
    @ZEE-fs6hv4 жыл бұрын

    thanks man more problems

  • @chaoschao9432
    @chaoschao94324 жыл бұрын

    thanks, great job!

  • @GrassLover9
    @GrassLover94 ай бұрын

    good explanation

  • @internick_
    @internick_21 күн бұрын

    Best explanation

  • @t.saisrujan9456
    @t.saisrujan94562 жыл бұрын

    thanks man

  • @lifeofme3172
    @lifeofme31723 жыл бұрын

    Solving the space complexity was a bit hard. But we'll explained

  • @uanbu6539
    @uanbu6539 Жыл бұрын

    So there's 3 loops in this solution, albeit not nested loops. Why is it that this will be faster than just having a double for-loop? I know there will be an activation record for each inner for loop iteration but the double forloop solution processes less numbers than this 3 loop solution.

  • @yassirsoukaki4111

    @yassirsoukaki4111

    Жыл бұрын

    nested for loop has a time complexity of n^2 but if the are not nested then it is 2n which is O(n)

  • @uanbu6539

    @uanbu6539

    Жыл бұрын

    @@yassirsoukaki4111 thanks I understood it after a while

  • @bldbld18
    @bldbld183 жыл бұрын

    No division - oh sure obviously just get right and left product arrays, multiply them and that's it, so easy and intuitive. How the f*ck to come up to that during the interview, there is no any math as well as intuition around wtf...

  • @mikejj781

    @mikejj781

    Жыл бұрын

    seriously!!

  • @hali1989
    @hali19894 жыл бұрын

    why is this O(n)? there are multiple loops (one foroward and one backward), even though they are not nested. If multiple not-nested loops are stil O(n), then why is this solution better than looping N times and generating the product?

  • @NickWhite

    @NickWhite

    4 жыл бұрын

    nested loops are N^2 and separate loops are O(N) watch the video I made on time complexity in my technical interview study guide playlist

  • @hali1989

    @hali1989

    4 жыл бұрын

    Nick White I know that. But if seperated loops are O(n) then what is the difference between looping twice back and forth and looping N times for each index?

  • @NickWhite

    @NickWhite

    4 жыл бұрын

    Watch the video I just told you to watch

  • @hali1989

    @hali1989

    4 жыл бұрын

    Nick White I watched it. There is no answer there for what is the difference between N for loops and 2 for loops regarding their running time. If there is no difference then whay the back and forth loop solution is better than just looping for each element?

  • @grunze

    @grunze

    4 жыл бұрын

    @@hali1989 Doing left right you get 2n ~ n. Looping n times for each index is n^2. It looks small in this size of array. Hence it could be fine but as the array grows its evident its going to be bad. Remember, however big the constant is it does not matter much. it could be 2*n or 100*n, it would still be O(n) in terms of time complexity.

  • @parambharti7095
    @parambharti70953 жыл бұрын

    Awesome.

  • @justworkfine321
    @justworkfine3213 жыл бұрын

    can you explain in awwapp?

  • @The2Coolest2
    @The2Coolest22 жыл бұрын

    Had a solution but it fails the last test cause takes too long. :(

  • @Hyperian
    @Hyperian3 жыл бұрын

    still don't get how that works after the explanation lol

  • @zarinb2278
    @zarinb22783 жыл бұрын

    Hey Nick, love your videos, thanks for them!!! Just one question though, isn't your first solution O(n^2) time complexity?

  • @dennisllopis2478

    @dennisllopis2478

    3 жыл бұрын

    The time complexity is linear. The for loops are not nested and multiple for loops doesn't make it O(n^2). If the test cases were very large than you might see an issue on performance. In this case: O(3n) or O(n + n + n) for the 3 loops is just O(n).

  • @zarinb2278

    @zarinb2278

    3 жыл бұрын

    @@dennisllopis2478 thanks for the response! That makes a ton of sense!!

  • @harshitha3867
    @harshitha38673 жыл бұрын

    Awesome

  • @codeelsewhere1688
    @codeelsewhere16884 жыл бұрын

    how about let ans = log(sum of all expect current num) - log (current num) return antilog(ans)

  • @RHCPhooligan

    @RHCPhooligan

    4 жыл бұрын

    That is just division with more steps dude...... log(x) - log(y) = log(x/y)... also doesn't work with zeroes

  • @juanmoscoso9573

    @juanmoscoso9573

    3 жыл бұрын

    @@RHCPhooligan there are no zeros

  • @RHCPhooligan

    @RHCPhooligan

    3 жыл бұрын

    @@juanmoscoso9573 you’re right but that shows how stupid these problems are. What kind of real world matrix problem exists where there are no zeros ?

  • @juanmoscoso9573

    @juanmoscoso9573

    3 жыл бұрын

    @@RHCPhooligan they are testing your problem solving

  • @cybersecurity2812
    @cybersecurity28123 жыл бұрын

    Here is another solution I put together quick, same output, no division and uses the *= operator public class Demo { public static void main(String[] args) { int products[] = {1, 2, 3, 4}; int total[] = new int[4]; int ct = products.length; for (int i = 0; i int r = 1; for (int x = 0; x if (x != i) { r *= products[x]; } } total[i] = r; } for (int t = 0; t System.out.println(total[t]); } } }

  • @wojtekrosiak5691

    @wojtekrosiak5691

    Жыл бұрын

    the solution requires O(n) complexity too

  • @Kidkromechan
    @Kidkromechan2 жыл бұрын

    Wow, who would think about reversing the damn array and creating another array for it then multiplying it together to get the answer hahahahaha Genius stuff here but good to see that this kind of problem can be tackled this way.

  • @minciNashu
    @minciNashu2 жыл бұрын

    So what happens when you get asked this question and you already know the answer?

  • @AlFredo-sx2yy

    @AlFredo-sx2yy

    Жыл бұрын

    you act like you're coming up with the solution like a genius. Propose the naive nested loops approach, and say "but that would be too slow as it would be O(N^2)" and then propose whichever solution you think you'll have enough time to code.

  • @minciNashu

    @minciNashu

    Жыл бұрын

    @@AlFredo-sx2yy right.. but there's no 'whichever' solution, because this solution remains ingrained in my head; I see this problem and automatically I know, do a forward loop and then a reversed loop. Some of these problems have a cookie cutter answer and it would be awkward to dance around it.

  • @AlFredo-sx2yy

    @AlFredo-sx2yy

    Жыл бұрын

    @@minciNashu with "whichever solution you prefer" i meant either of the 2 approaches shown in this video: either use the 2 arrays approach or the single array and auxiliary variable approach. I did not mean you should create some sort of invented answer... You can work for as long as you want and invent a new answer but that makes no sense, if you already know the best answer that was engineered over years by people before you then why try to make one up on the spot? your job is on the line so...

  • @lovipilowu9766
    @lovipilowu97668 ай бұрын

    I feel like I would never come to this conclusion on my own despite being a programmer :(

  • @fahimemroz9141
    @fahimemroz91414 жыл бұрын

    My solution but with JS function productExceptSelf(nums) { const output = []; for (num of nums) output.push( output.filter(number => number !== num) .reduce((a, v) => a * v) ); return output; }

  • @PumpkinEatSpice
    @PumpkinEatSpiceАй бұрын

    Bro this question was such bullshit. I spent so much time trying to figure out how to ONLY use `nums` to store the intermediate result............ and now we are just saying that creating just 1 extra array doesn't count as extra space. wow.

  • @saeedentezari3776
    @saeedentezari37764 жыл бұрын

    Python: array = [1, 2, 3, 4] productOfAll = functools.reduce(lambda prod, i: prod * i, array) output = list(map(lambda i: productOfAll / i, array))

  • @omarathon5922

    @omarathon5922

    4 жыл бұрын

    Uses division.

  • @saeedentezari3776

    @saeedentezari3776

    4 жыл бұрын

    @@omarathon5922 Did the question mention not to use division?

  • @ashishkhuraishy

    @ashishkhuraishy

    4 жыл бұрын

    Its says in the note

  • @Yeager098

    @Yeager098

    4 жыл бұрын

    won't work if we have 0's in the list

  • @cybersecurity2812

    @cybersecurity2812

    3 жыл бұрын

    Python without division products = [1,2,3,4] box = [] for i, v in enumerate(products): r = 1 for y in range(len(products)): if (y != i): r *= products[y] box.append(r) for i in box: print(i)

  • @__-kd8oz
    @__-kd8oz3 жыл бұрын

    cant use division? *uses negative number exponent* surprised Pikachu face.

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