Top K Frequent Elements - Bucket Sort - Leetcode 347 - Python

[@Xeoncross]

I appreciate the time you put making and sharing all your content for free. Here is the $10 I might have spent on your udemy course.

[@NeetCode]

Thank you so much!!!

[@onlysubscriptions2152]

Does he have udemy course???

[@PeterPan-xe7qw]

@@onlysubscriptions2152 nah, just a hypothetical $10 he would’ve spent since most people pay wall this content, but he does it for free.

[@hamdi_]

As a side note, consider donating directly to the creators if they have a donation link, because KZbin takes a whopping 30% of your donation. In this case, Neetcode accepts Patreon donations, which takes a more reasonable commission of about 8%.

[@mostinho7]

@@hamdi_even 8% is too high tbh. Not for neetcode specifically, he sells his own courses and is set. But for someone else who might be in need of the money 8% is ridiculous

[@rhitamdutta1996]

I have never practiced DSA in my life, not even in college. After getting laid off, I stumbled across your videos to learn DSA. They are so crisp, informative, and to the point. I can't thank you enough.

[@e889.]

Hi you got any job?

[@rhitamdutta1996]

@@e889. not yet.

[@ozgurpeynirci4586]

Update?

[@rhitamdutta1996]

Hey guys, yes I did. Wouldn't have been possible without Neetcode.

[@hamza-chaudhry]

@@rhitamdutta1996 Nice

[@rohananjaria1009]

Best youtube channel for leetcode problems hands down.

[@justsimple6333]

i used your previous video on groupAnagrams to solve this, just hashmapped the array in to a defaultdict(int) den sorted the dictionary entirely in a descending order. Your videos have been really helpful, first time i solved a medium all by myself

[@trenvert123]

That's so cool that python has a convenient way to sort hashmap by value. I looked into it for java, and it is a nightmare. I would have to create my own comparator. I think if I'm doing that, I may as well just learn bucket sort at this point.

[@robinfelix3879]

haha, did the same, cheers

[@moveonvillain1080]

@@trenvert123 Java is sooooo verbose......

[@Albert-nc1rj]

@@trenvert123 In Go I faced the same problem, spent 20 minutes trying to sort a hash map by values (failed). So I just copied values into new array and sorted them there lol.

[@dumdum407]

@@Albert-nc1rj you can also insert the contents of your hashMap into a second hashMap, but use the values from frequency hashMap as the keys of the second hashMap. Once you have done that, take all the keys out into an array, sort the array and retrieve first k values, use first hashMap to get integers and return that.

[@maierdanefan6998]

Amazing contents! The best algorithms channel that focus on logic and thinking in a clear way. Happy to have found this channel, been writing neetcode ever since.

[@VineetKrGupta]

I got my first job after following your neetcode 150, 2 years ago. now after the layoff i am here again learning the dsa.

[@Thrashmetalman]

the one thing I dont like about usage of heap questions is that most of the times you havge to default to some library to do it cause I doubt any of us could code up a heap in a phone screen.

[@Number_Crunch]

The algorithm that you explained at 3:15 was counting sort and not bucket sort. What you did, however, towards the end was similar (not same as) bucket sort.

[@namoan1216]

is it different?

[@chrischika7026]

@@namoan1216 no hes wrong

[@donothack]

@@chrischika7026 sorry, I'm confused. who is wrong? and wrong about what?

[@andrewchu6370]

@@namoan1216 yeah, it's not bucket sort (Correct me if I'm wrong). Bucket sort's entire premise is having a constraint as count i. In the traditional case, we are mapping the value to the index, and counting it. Then, looping over from the beginning of the bucket, and adding the INDEX values into an array by the count that we initially stored in. This however, is honestly more logic than anything else. It's similar to Bucket Sort in a way, but in reality, instead of sorting values, it's sorting it by count, and we're storing in values instead of counting how many times a number occurred. It's kind of "repurposing" the bucket sorting algorithm, but it ISN'T bucket sorting.

[@joshmarion8640]

Am I the only one who is a little confused as to how this solution is O(N). If you loop through the array which is the size of the array, and then in each index you might have to loop through up to N times. So how is this not o(n^2) Edit: Nevermind, I think I realize it now, I figured I would write it out for anyone who might still be confused. As we traverse through the array, we go through the whole array. So this is O(n). But we aren't doing an operation n times at each stop. We are doing N more operation throughout the entire array. So even though the for loops are nested, we are doing N more operations throughout a for loop which is N, so the total is just N+N, which simplifies to O(N)

[@abhishekdhyade7500]

Thanks a lot buddy! I was scratching my head off to find out this same doubt. Now that I saw your comment, I was able to understand it. Thanks again!!

[@ahmedmansour5032]

So essentially the inner loop is just operating on the subset of N elements?

[@quanmai5759]

I would say it's n+k rather than n+n, because the size of the res array is k. So after looping through the freq array of size n, you only need to fill the res array k times then stop, so k more operations. Still it's O(n)

[@ubermensch_1111]

@@quanmai5759 Yah I also think so it will be n+k

[@DiaaHaresYusf]

@@ahmedmansour5032 but at worest case you will face frequency = 1 for each element in nums .. and O(N) is always calcualted in worest case, I have made a commend on video please go through it , you will understand what I am saying

[@tweefeety]

I love you man. You're an actual angel. Your explanations are always so clear. And your drawings are so easy to understand.

[@NeetCode]

Thanks, appreciate the kind words 🙂

[@fortitude242]

@@NeetCode you are n angel. :)

[@sandeshpaudel9665]

for the heap solution, it's better to use a min heap of size k rather than using a max heap and then removing max k times. Using the min heap, you would remove min and add the next frequency. by the end, you are left with k most frequent ones and removing the min gives you the answer. You can reduce this to n log k and not n log n

[@gurmukhsinghnirman4935]

and even for values like k = 1e9, logk is around 30 so the complexity is around O(30*n) which is basically O(n)

[@sandeshpaudel9665]

@@gurmukhsinghnirman4935 indeed!

[@PippyPappyPatterson]

How would you cap the size of the heap `h` at size `k`? As you're adding frequencies, `if len(h) > k: heapq.heappop(h)`?

[@sandeshpaudel9665]

@@PippyPappyPatterson so let's suppose k = 3 and you have numbers [1 , 2 , 3, 4, 5]. You can find the k-largest or in this case 3rd largest using a min-heap of size 3. As you add in numbers, your heap can grow like this: [ 1 ] [ 1 , 2 ] [ 1, 2 , 3 ] ** you're capped at 3 *** [2, 3, 4] ** add next( 4 ) and remove min (1)** [3, 4, 5] ** add 5, remove 2 ** Now the head of the heap will be the 3rd largest element.

[@MinhNguyen-lz1pg]

@@PippyPappyPatterson here class Solution: def topKFrequent(self, nums: List[int], k: int) -> List[int]: num_to_count = collections.defaultdict(int) for num in nums: num_to_count[num] += 1 min_heap = [] for num in num_to_count: if len(min_heap) < k: heapq.heappush(min_heap, (num_to_count[num], num)) else: heapq.heappushpop(min_heap, (num_to_count[num], num)) res = [] while min_heap: _, val = heapq.heappop(min_heap) res.append(val) return res

[@sentinel-y8l]

While counting, you can keep track of the max occurrences and then you only need to initialize freq to that max instead of len(nums)

[@amitkoushik5504]

Good one ...I spent a lot of time understanding this but finally got it..🤗🤗

[@arneishprateek6444]

Sure but it's still O(N).

[@s1kebeats]

thx

[@MrHarryGaming]

count = {} maxFreq = 0 # or 1 for each in nums: count[each] = count.get(each, 0) + 1 maxFreq = max(maxFreq, count[each]) freq = [set() for i in range(maxFreq + 1)]

[@johnzheng849]

Your video got a me a job as an SDE at AWS!!

[@NeetCode]

Congratulations 🎉🎉

[@jwastken8814]

Hey John, which neetcode 150 questions did they ask? I have a phone interview coming up

[@Tejesh-t1t]

@@jwastken8814 Hey jwastken, which neetcode 150 questions did they ask? I have a phone interview coming up

[@netanelkaye3014]

People say you are supposed to learn enough to be able to figure out leetcode problems, as opposed to memorizing leetcode. Are we seriously supposed to have been figured this method out? This was so specific...

[@edd4851]

When you encounter a similar problem next time, you will think , well, i already saw it somewhere. I can do this.

[@netanelkaye3014]

@@edd4851 Really? How many leetcode problems are solved this way?

[@_carrbgamingjr]

@@netanelkaye3014 1😅

[@wotizit]

its best not to think about it lol

[@beaglesnlove580]

@@netanelkaye3014none of

[@wow_donnie]

I came up with this solution originally but really appreciated the thoughtful description of the linear solution! result = defaultdict(int) for num in nums: result[num] += 1 result = dict(sorted(result.items(), key=lambda item: item[1])) return list(result.keys())[-k:]

[@pinakadhara7650]

Thanks for the video! I came up with the same solution except I assumed each element is "repeated unique number of times" from the problem statement - "It is guaranteed that the answer is unique.". So instead of looping over each lists, I just considered the first element.

[@symbol767]

This is perfect, thank you bro, took me a while to understand this problem, gonna need to redo it without looking at the solution in a couple days. Thank you, liked and commented again to support

[@mohamedeltawab]

Your explanation is like art! Thank you!

[@eulier1]

That's was a very interesting way to solve a specific real life problems, by counting and working with hash and array as a way to identify K most frequent elements. This can be useful for small to big business handling inventory or when you need to pack-up your stuff to travel.

[@SharmaTushar1-yt]

You can also use count = Counter(list) This will count in itself. No need for a loop. Another day thanking Guido van Rossum for making my life easier.

[@awesome_ashu]

We can optimize it more by storing the maxFrequency while creating the HashMap (which has the integer and their corresponding frequency). Then, the next iteration to get the required elements can start from this maxFrequency instead of N.

[@JaydenSWE77]

Solution is so smart. You taught me so much more about hashmap and the capacity of it. Thank you!

[@vdyb745]

I was wondering where you were going with the bucket. This is so clever !!! Brilliant !!

[@kwakukusi4094]

I got a similar question on my onsite interview with amazon (not the same question but same concept). I did not know bucket sort so I used the sorting method. The interviewer said there was a way of getting a linear time complexity and I did not know what to do .

[@randomystick]

for the return function, an alternate way is to use the extend() method in python: res = [ ] ptr = len(frequency)-1 while len(res)

[@kestiv2429]

Result size will be wrong if len(frequency[-1]) > k I think

[@vachannadupalli6133]

@@kestiv2429 The question guarantees that there is a unique solution. Hence every time we extend the result array, at some point it will(has to be) be equal to k. If it were not guaranteed, then you would be right.

[@naveennvnkumar4615]

I am bit confused, at 12:25 and lines 12,13 wouldn't it become a N^2 solution if all the elements are distinct

[@ParryHotter73]

yeah, the example he showed is actually the worst case and it may be O(n²) but we can't say n² cause we don't find n elements at every index, this is an exceptional and not like general nested loop

[@naveennvnkumar4615]

@@ParryHotter73 ok got it. thanks buddy

[@ashadahmad651]

Cannot believe I figured this on my own, definitely took some time but I was able to figure it out on my own.

[@saifmohamed1776]

i didn't see any body came up with this solution in the discussion on leetcode , all of the solutions were use heap or may be some of them use quick select ; so i was afraid that i analysis my algorithm wrong but after watching you i know that i was right about my solution .

[@CarlJohnson-iv7sn]

Infact the top solution in the discuss is using bucket sort itself.

[@SharmaTushar1-yt]

Also, you can do res += freq[i] in line 13. The problem description mentions the solution will be unique. So, we know that all the elements added if will either match k or will be lesser. So, no need to run a loop.

[@devashishubale1565]

I was solving 692, and I got AC, I remembered this video came back to this. Thanks for such detailed videos.

[@tszyinshirleycheung4040]

I think the runtime of using heap is O(n log k), we need O(n) to construct the heap and remove an item cost O(log k) ?

[@MrACrazyHobo]

Yes, this is even what the leetcode official answers says

[@michaelchen9275]

Isn't it O(log n) to remove from a heap with n elements? And we do that k times, so that makes O(k log n).

[@theniknik0999]

@@michaelchen9275 If we restrict the heap to be of size k (since we only care about k most frequent), at worst case we'll end up popping n elements. i.e. O(n log k)

[@bundayyolayinka3352]

My current status: Understands the Questions, Have an Idea of how to start (not how to finish), Watches just your drawing explanation, Realize what is missing, Writes the whole solution.

[@anonymoustv8604]

that's great man. Keep going

[@pacomarmolejo3492]

keep grinding. You will get there

[@arungowda]

We can do a little space optimization by having max(counts) size for bucket instead of nums.length

[@LeetCodeSimplified]

Good point!

[@syedzami-ul-haquenavid9392]

The explanation was so amazing that I understood how to solve half way through the video!

[@34535fff]

Man I could not do it myself because I didn't understand problem clearly, after 50 seconds of the video I understand and did it with ease, thanks a lot. Now I am going to watch rest of the video to learn optimal solution)

[@TheCodeBearer]

there is also the approach of using k-th order statistic to solve this problem. It does not require the assumption that the value of the array elements is bounded (like linear sorting algorithms require).

[@rohanaurangabadkar951]

Best explanation this helped me in solving Top K Frequent Elements and Sort Characters By Frequency

[@ShreksSpliff]

Watching this after attempting on NeetCode is soooo good!

[@denshaSai]

Got this question for google, what to do then if input is streaming (like a log)? guess we keep updating the count (histogram), and rebuild the freq array everytime?

[@sangramshinde2211]

nick white, kevin, neetcode best guys to get the perfect explanation...

[@shreyaskaup]

i had actually thought of the 2nd array implementation you said with N array size.. but i didnt think on how I would extract the top K as you did by going backwards! you're a genius!

[@atulkumar-bb7vi]

Trust me bro, you are amazing explaining things. Thanks a lot for such content. Pls keep posting..

[@poptart007-b2r]

I love how your videos are always so damn clear :) ! Thanks alot Btw, here is a weird(?) quicksort version that beats 93%: def topKFrequent(self, nums: List[int], k: int) -> List[int]: count=list(Counter(nums).items()) def quick(l,r): pivot,p = count[r][1],l for i in range(l,r): if pivot>=count[i][1]: count[i], count[p] = count[p], count[i] p+=1 count[r], count[p] = count[p], count[r] if p>len(count)-k: return quick(l,p-1) if p=ind]

[@NeetCode]

Nice!

[@heathergray4880]

Mine beats 98.62 time and 90 on space and is two lines long :)

[@lucaslau8379]

@@heathergray4880 would you share your code for learning please?

[@areelkhan4004]

Thanks

[@xrdevelopment1390]

is it just me or after struggling on a particular part for a while.... then it hits!!!!! best feeling ever. NeetCode, I am following along every problem and have the confidence that I'll get my dream tech position. thank you, its the same feeling I had when I found out about khan academy in high school

[@Milan-vi1bq]

we're both gonna get the dream job homie!

[@yarnehermann]

I'm thinking you can just invert the frequencyMap to {frequency: list of values with that frequency} and then sort the keys in that inverted map. This sorting would be O(sqrt(n) log(sqrt(n))) (which is < O(n)) because there cannot be more than O(sqrt(n)) different frequencies (if each value has a different frequency, then n = O(c * (c+1) /2), with c being the number of distinct frequencies). Then it's just a matter of iterating over the reverse sorted keys and adding values to a resultArray until that array reaches length k lookupDict = defaultdict(int) for n in nums: lookupDict[n] += 1 inverseDict = defaultdict(list) for key, v in lookupDict.items(): inverseDict[v].append(key) sortedKeys = sorted(inverseDict.keys(), reverse = True) sortedKeysIndex = 0 res = [] while k > 0: values = inverseDict[sortedKeys[sortedKeysIndex]] if len(values) > k: res.extend(values[:k]) else: res.extend(values) k -= len(values) sortedKeysIndex += 1 return res

[@pragnyatata491]

really love the approach taken, thank you

[@gabrielfonseca1642]

This is still O(n) because of the for loop on line 2, but yeah it's slightly more efficient

[@il5083]

The solution and thought process is genius! Can't come up with this optimal solution by myself, thanks a lot.

[@yxngboypolo]

11:42 you could also use `for i in reversed(freq):` and modify the code as needed

[@mgst4699003]

Thank you man! Blessed to have you!

[@TheBackendDeveloper-b6t]

how the hell you come up with these sexy optimized solutions man , its just awesome .

[@tanayshah275]

Made it simple but efficient as always!

[@embedded_software]

Frequencies as indices. Clever!

[@embedded_software]

I just implemented this in Rust. The code was very straightforward. The only requirement is that the data is hashable (doesn’t even need to be ordered)

[@xinyiwu2837]

Man you light up my leetcode

[@avadheshsingh4255]

without knowing what is bucket sort I was only able to come with the hashmap sorting solution thanks mate for the o(n) soln.. great explanation

[@freddy5638]

My man! I've spent HOURS watching you. FYI you can do the counter with collections, and save few lines of implementation

[@yossarian2909]

How is that?? Can you pls share

[@hamzasayyid8152]

@@yossarian2909 from collections import Counter, then Counter(nums) gives the frequency dict

[@balavikashkandukuri6139]

@@hamzasayyid8152 continue the code

[@akarsan9121]

questions: lets assume we have array [1,2,2,3,3,4,4,4] and k = 2. Then for first most frequent we will have 4 but what about the 2nd most frequent element? cuz count of both 2,3 is 2 so how do we decide which value to insert into our resulting list??? Please help ps: "The test cases are generated such that the answer is always unique." is this statement accounting for that edge case?

[@gabrielfonseca1642]

Yes this wouldn't be included in the test cases because there are two solutions (2, 4) and (3, 4). However note that if k = 3, then (2, 3, 4) and (3, 2, 4) are both solutions, which is why the problem says to give the answer in any order

[@tedtran7855]

Clever solution! I came up with the nlogn solution immediately and thought the problem was over since the Leetcode page only wanted that. Then I watched your video and I was shook when you said there was an O(N) solution haha.

[@StfuSiriusly]

leetcode page says to find a solution that is BETTER than n log n

[@MistaT44]

This solution blew my mind! excellent video as always :)

[@ARJUN-op2dh]

More simpler way from collections import Counter def dx(nums: list, k: int): x = Counter(nums).most_common()[:k] ls = [] for i,j in x: ls.append(i) return ls

[@macro776]

You can solve it even more efficiently in only 2 lines by being a python quack, although I doubt an interviewer would be pleased with it: count = collections.Counter(nums) # Creates a frequency counter from nums directly return [item[0] for item in count.most_common(k)] # Uses counter's most_common method

[@rakshitkumar1141]

I think your solution is O(n2). because in last part you performed n operations inside n. for i in range(len(freq) -1, 0, -1): ==== O(n) for n in freq[i]: ==== O(n)

[@dharmatejabandaru3344]

Such an awesome explanation and solution. Thanks, Man! Love it.

[@BEEFnCHEESE44]

Thank you so much, your explanations are so easy to understand, I would be lost without you

[@KardboardCode]

Hey everyone, I have one question. Why is this solution considered O(n) where n is the size of the nums array? Why are we not looking at the worst case complexity for lines 11-16 at 12:52 If all items are unique Line 12: i will iterate over the range (0 , n) //Size of freq is n+1 Line 13: if all items inside nums are unique, every item will be present at the first index This will lead to looping through the entire length of the array n => this gives us O(n^2)

[@shivani5882]

Hey! Could I receive a bit of clarification please? Why is your approach at 3:10 not O(n)? I thought it would be as would first need to find the max value in the given array (nums), then create our bucket array with that number as the upper limit? But since max( ) takes O(n) time - I'm quite confused. Thanks in advance!

[@johnzheng849]

Thanks!

[@NeetCode]

Thank you so much John!!

[@YNA64]

Holy this is so much clearer than the quick select one.... Thank you so much

[@ChristopherElwell]

But not constant space complexity

[@islombekhasanov]

I definitely learned this new neet trick!

[@alexanderk5399]

The best explanation I've seen! Thank you so much man!

[@racerx4684]

Thanks Neet! I burned my brain cells trying to come up on my own. This helped.

[@md-ayaz]

One thing to note in python. Please do not intialize like this ( if you are ) bucket = [[]] * (len(nums) + 1) this references to the same list and your output will be wrong. Use the bucket = [[] for _ in range(len(nums)+ 1)] , as mentioned in the video.

[@ronakpatel7911]

What I don't quite understand is that when I implemented this solution, the speed and memory is not as efficient compared to my initial solution in ``` class Solution: def topKFrequent(self, nums: List[int], k: int) -> List[int]: count = {} for num in nums: count[num] = 1 + count.get(num, 0) res = sorted(count, key = count.get, reverse = True) return res[:k] ``` Even though using sorted() here causing it to be n log n... Can someone explain why this one is appearing to be much quicker than the solution in the video?

[@pruthvipegasus]

sorted() uses quick sort which has O(n log n) time complexity in the python interpreter.

[@chesea9790]

Awesome video! One small thing, shouldn't it be O(n log k) instead of O(k log n) for the heap solution since there's n elements, heap of size k means log k time to heapify and n calls so n * log k?

[@AustinCS]

Yes, it isn’t O(n) like he said

[@Hrzybs]

Instead of using a second loop while adding to the result I just checked if the values in the array exist like that for i in range(len(tables)-1,0,-1): if (tables[i]): result.extend(tables[i]) if (len(result)>=k): return result for me it's easier to understand this way

[@venkatshiva8275]

First of all thank you very much @neetCode for this amazing explanation. Anyone has suggestions or improvements on the below solution?? class Solution { topKFrequent(nums, k) { let countObj = {}; const resArr = []; let ctr = nums.length; for(const i of nums){ countObj[i] = (countObj[i] || 0) + 1; } while(ctr > 0){ for(const key in countObj){ if(countObj[key] == ctr && resArr.length < k){ resSet.push(key); } } if(resArr.length == k){ break; } ctr--; } return resArr; } }

[@nishanttripathy8275]

For the heap the time complexity should be n.Log(k) since the max size of the heap can only be k and n is the number of elements

[@firasyousfi2269]

Nope, if you are using a maxHeap it will be k log n. Because for that you need to heapify the whole thing first so n elements would be in the heap. Then you would pop 'k' times from the heap of size 'n'. So O(k log n). This is Valid if you use a maxHeap!!! If you are using a minHeap then you would be correct, then the heap would have a max size of k as you said. And you would loop n times and push then poll when size reaches k.

[@srinadhp]

Got the same question in one of the phone screens. I came up with map and heap approach. The interviewer asked for an optimization for memory. And, I could not think of any other solution. It costed me next round unfortunately. Only if I notice your solution!!!! :-( Again! Great explanation and "neat" solution!!

[@harigovind11]

This solution is also not memory optimised. Using "min" heap instead of max heap with size k would be memory optimised.

[@kobeissi721]

@@harigovind11 Wouldn't it still be O(N) since you still need to add them to a map to store the frequencies?

[@sampatkalyan3103]

@@harigovind11 "Using "min" heap instead of max heap with size k would be memory optimised. " can you explain how ?

[@WinnerSingh]

Well what mistake I did is - I watched other python tutorials What good thing happen is - I am watching your videos But you are geniuses you explain well but I have to watch two times every video to understand correctly. Thank you

[@anujapuranik2000]

This is amazing explanation. Thank you for sharing this video.. Learnt something new today!

[@mehmetnadi8930]

I'm speachless! thank you, NeatCode!

[@countdooku681]

Excellent solution, thank you!

[@javidabderezaei3632]

Heap solution (faster than 95% of solutions on leetcode): dic = {} for i in nums: if i not in dic.keys(): dic[i] = 1 else: dic[i] += 1 heaped = [] for key in dic: heaped.append([-dic[key], key]) heapq.heapify(heaped) res = [] for i in range(k): freq, x = heapq.heappop(heaped) res.append(x) return res

[@aaronpuah918]

Fantastic explanation, appreciate it!

[@sharvitomar3809]

Firstly, thank you for being so amazing with your videos! Actually I was wondering in the for loop on line 12, since inside that loop we keep checking for the length of res, isn't that increases the time complexity from the linear expectation?

[@jambajuice07]

nooo actually the inner runs only for n times . soo thats n(outer loop) + n(inner loop) = 2n which is O(n).

[@theornament]

I did the solution with priority queue and hashmap and it seemed to have better time complexity and space efficiency than using bucketsort. I feel like this is tricky because, when we are solutions for problems, we start analyzing which data structure we are going to use, its time complexity, etc. based on how those data structures are regularly implemented. The thing is, algorithms and built in functions in languages have improved drastically that they take less time than what theoretically they should take. It's tricky but are those are things that we should consider as well?

[@akagamishanks7991]

how are the last two nested for loops at 11:30 only require O(n) + O(n)? Dont nested for loops always require O(n^2)?

[@kobeyang4390]

Typically yes, nested loops usually require O(n^2), but here is a special case. This is because the total number of values in each sublist of the frequency array will add up to n. Some 'buckets' may have no values in them. In total, you're looping through the frequency array, then looping through each sublist, whose total lengths add up to n. Overall, it's O(n + n) and NOT O(n * n), meaning it is still O(n).

[@akagamishanks7991]

Cheers fam @@kobeyang4390

[@Nohope__]

or alternatively sort the count table by values, and then return first k elements : # create hash_table where num in nums is ke # increment value for each key repeatation table = dict() for n in nums: if n in table: table[n] += 1 else: table[n] = 1 # sort by values table = sorted(table.items(), key=lambda item: item[1], reverse=True) # create a list answer = list() # store to answers for item in table[:k]: answer.append(item[0]) return answer

[@basedasuka]

ur solution is much faster for me, thank u

[@amandatao9622]

This is the best explanation!! Thanks!

[@BECEGtirth]

2:20 time complexity of heapify would be log n and creating heap would take n log n time

[@mohamadilhamramadhan6354]

Damn. I solve this problem for hours and a lot of code. It turns out could be this simple. Thankss, I learn something new. THE BUCKET SORT 😇

[@normanfung7124]

Simpler approach: def topKFrequent_simplest(nums: List[int], k: int) -> List[int]: count = {} # key: n, value: count of n for n in nums: count[n] = 1 + count.get(n, 0) count = [(k, v) for k, v in count.items()] count.sort(key=lambda entry : entry[1], reverse=True ) return [ entry[0] for entry in count[:k]]

[@seanbarel2]

Is this solution also works when theres no limit on the values of the initial array? Or it assumes that the values in the array are bounded?

[@matthewtang1490]

just as i was going to tackle this problem, you released a new video :)

[@TomerBenDavid]

Is the bucket sort always about having the number of buckets as the size of the highest frequency number or which kind of bucketing we use in the standard bucket sort?

[@CodeWithRVR]

man this was the video , great great explanation

[@geekydanish5990]

class Solution: def topKFrequent(self, nums: List[int], k: int) -> List[int]: _map = {} res = [] for num in nums: _map[num] = 1 + _map.get(num,0) heap = [(val,key) for key,val in _map.items()] for val,key in (sorted(heap,reverse=True)[0:k]): res.append(key) return res

[@THEAVISTER]

Such a genius solution!

[@rajivshah3661]

Just a question, What if after building the hashmap, we sort the dictionary by values using sorted() and return k keys?

[@hype-r3076]

The sorted() is done in O(N log(N)). Although ur solution is correct it’s not the most efficient

[@hype-r3076]

And in worst case N^2

[@lonen3rd]

Awesome solutions as always. Worked on an alternative solution using a PriorityQueue. from queue import PriorityQueue def topKFrequent_2(nums, k): if not nums: return [] freqs = {num:nums.count(num) for num in nums} q = PriorityQueue() for num, count in freqs.items(): q.put((count, num)) qsize = q.qsize() while qsize > k: q.get() qsize -= 1 res = [] while q.qsize() > 0: vv = q.get() # will return (count, num) res.append(vv[1]) return res

[@AJ-ju7tl]

there is a mistake at the end, heap solution is O(N logK ) not O(K logN)!!! otherwise this is a very good explanation, thanks!