Блог пользователя 74TrAkToR

Автор 74TrAkToR, история, 2 года назад, По-русски

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Разбор задач Codeforces Round 905 (Div. 3)
Разбор задач Codeforces Round 905 (Div. 1)
Разбор задач Codeforces Round 905 (Div. 2)
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In problem A, it is also necessary to add 4, since clicks are counted as a separate move

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1883E can anyone tell me why in my code i am getting negative output for the first test-case ? SUBMISSION :- 229287818

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It's impossible to solve Div3D in Python without implementing custom Multiset :(

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Actually, in G2, you don't need binary search. You can just sort the two arrays and pair them up greedily.

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Div2 D2/G2 can be solved in O(nlogn). If we increase a number then we need to check if it satisfies at only 1 index. If currently the number is at a[i], then we can increase a[i] till min(a[i+1], b[removals+i]) without changing the answer. Do some casework. My AC code link

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    2 года назад, скрыть # ^ |
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    I have done something similar but from a different angle, at each ith step from 1-m, I calculated the position of i in sorted vector a, now if that position is among the number of elements removed in the previous step, then no of elements to be removed will be same again, else i checked if the new i is still lesser than the current b's element at that position else just calculated how many more elements will I have to remove.

    I traversed from 1-m by doing binary searching as ans for many continuous steps will be same.

    Link — https://mirror.codeforces.com/contest/1888/submission/229293946

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Div. 1 A can be solved with multiset in $$$\Theta(n\log n)$$$: submission

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I am beginner,, i stuck in A and cannot proceed further,,Can anyone tell me how to improve myself>

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1888E. I'm curious about the cases where my code fails. Code

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Div3 D is really misleading. The question doesn't clearly describe the ability to pair l and r randomly.

Two codes below use very similar algorithms but only different data structures, only the first code is accepted:

implement using two multiset left,right:

implement using a multiset<pair<int,int>>

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    You are not free to pair them up randomly.

    However, you can prove that if each pair of intervals has nonempty intersection, then there is an index that is contained in all of the intervals. So it is enough if you check for this.

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Me — "I can solve it piece of cake" Div 3E ; 'Haha I am E Don't even think' Nice problems and I personally like the experiment :)

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Div1 D can also be solved using divide and conquer: https://mirror.codeforces.com/contest/1887/submission/229298128

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    If you don't mind, can you explain your solution because that's the method I tried with but couldn't come up with a good time complexity solution

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      My solutions a bit more complicated than the intended.

      For a single query, can initially add $$$a_l$$$ to the left split and keep expanding the left split while there is a smaller element in the right split. Similarly, you can add $$$a_r$$$ to the right split and keep expanding the right split while there is a larger element in the left split.

      If you had only prefix queries, you could sweep on the right index of the query and maintain $$$prv[i]$$$ = left index of the right split for the interval $$$[1, i]$$$. For suffix queries you can maintain $$$nxt[i]$$$ = right index of the left split for the interval $$$[i, n]$$$.

      In the divide and conquer, when while on the interval $$$[l, r]$$$, run a sweep to compute $$$prv[i]$$$ for $$$[mid + 1, r]$$$ and $$$nxt[i]$$$ for $$$[l, mid]$$$. This can be done in $$$O(n log n)$$$ time so by the master theorem, a total complexity of $$$O(n log^2 n)$$$.

      When in the interval, process all queries that cover $$$mid$$$. The conditions for there being no split is that the interval $$$[l_i, nxt[l_i]]$$$ contains an element greater than one in $$$[mid + 1, r_i]$$$ and the interval $$$[prv[r_i], r_i]$$$ contains an element smaller than one in $$$[l_i, mid]$$$. I used some segtrees to maintain this, which is also O(n log n). This is also $$$O(n log^2 n)$$$ by the master theorem.

      I think my implementation has a bunch of redundant code :clown:

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        Thanks, I understand your solution! Structure of divide and conqueror is similar to disjoint sparse table if I understood correctly so I think it can be optimised to O(nlogn) with next observations: 1) To find prv(i) for [x,y] you can find it in O(n) time(prv(i) = prvi(i — 1) or i because if this element i is smaller than max from prv(i — 1), then new prv must be i, so maintaining maximum can be done with a different pointer that can go from x to y which is O(n) time, same for getting prv) 2) Because you can find answer in disjoint sparse table in O(1), you can find your solution to every query in O(logn) because you only need to check your conditions from last paragraph which are O(logn) (or O(1) if you precompute them in O(nlogn) So you get a O(nlogn) + (O(1/logn) per query)

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Feeling that 1B=1C=1D=1E. Small difficulty gap. Nice round.

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I can't see the English solution to Div1C

1887C — Minimum Array

Unable to parse markup [type=CF_MATHJAX]

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Oh my goodness, When I solve Dances (Easy Version), I accidentally mistook 'reorder' in the question for 'record', thinking that the task taught me to store it in a local array—I even thought the question was elaborately detailed!!! Now, I would like to know if there are any algorithms capable of solving this problem without the 'reorder' condition. I tried dp but it seems too difficult, I would be grateful if someone could share some thoughts with me.

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Problem 1887C is awesome. I really like the idea of 1887C.

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Prob E. AC 229306255 and WA 229307572.

My idea is to use log2. In AC, I use double and ceil, while in WA, I use long long and handle ceil in an alternative manner. Help me

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Can someone explain solution to 1883F? Why it works?

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another linear solution for div2E 229312374

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In problem E why do we get TLE if we go naive way multiplying them by 2?

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Does anyone have any good SortedList implementation?

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I'm wondering is there any C++ implementation without using multiset? I tried using vector and sort after every update but it leads to TLE.

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https://mirror.codeforces.com/contest/1883/submission/229322842

can anyone tell me where I am going wrong. Any help would be appreciated . Thanks in advance

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in 1883B even when we donot not remove all k characters but get the frequencies even we print "Yes"... why?

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    let o be the number of characters that appear odd number of times in the string u have to delete at least max(0, o — 1) characters, since a palindrome can have at most one odd character, appearing at the center, and the others have to be symmetrical and appear on both sides if k >= max(0, o — 1), u can delete the max(0, o — 1) first, then u can delete by 2, if theres 1 remaining u can remove a center or create a center by deleting one, either way u can palindromize it

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In F:

Note that a subarray suits us if al is the leftmost occurrence of the number al in the array and ar is the rightmost occurrence of the number ar in the array.

How can we proof this?

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In problem Div3, F, I got TLE (submission 229270873) using unordered_map. I replaced it with map (submission 229332985) and it got accepted. Isn't unordered_map supposed to be faster?

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    Unordered structures are linear at worst. They use hash functions internally, so its O(1) in average but in case of multiple collisions the search takes O(n) operations. Regular map, on the other side, is O(log n) at worst. Use custom hash

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There is a fun solution of 1887C using something that is sometimes called Radewoosh trick (https://mirror.codeforces.com/blog/entry/62602).

First, let's use the idea of transition to differences array.

Suppose that we are given some array state after several operations. Let's call this STATE. Than, for every state that has ever occured we can find out, whether this state is lexicographically smaller than STATE, or not — we can process change operations in the original order and maintain fenwick tree f, where f[i] = 0 if value in index i in current state is the same to the STATE and 1 otherwise. In order to check, whether current state is lexicographically greater than STATE or not we just need to get first 1 in fenwick and perform one comparison.

After that we can just change STATE to the random state that is lexicographically smaller than STATE. Expected number of such runs is $$$O(\log n)$$$, which gives $$$O(n \log ^ 2 n)$$$ solution, which is fast enough to pass the tests.

My code: https://mirror.codeforces.com/contest/1888/submission/229293148.

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div2.D2 can be solved in linear time with following algorithm. First, you greedily find minimum number of needed operations with your array 'a' having only n — 1 elements(greedily as until b[j] <= a[i] we decrease 'i' and only then decrease 'j' in previously sorted arrays). So we now found solution in O(n). My idea was that when you try to insert your m at position i(so it stays sorted) following can happen: 1)Because you shifted all elements left of m 1 more place left now their conditions are maybe ruined with their new pairing with a. 2)Your m can be >= b[i + numOfOperations](we paired every a[i] with b[i+numOfOperations] with our greedy method, check for yourself) In both of those cases, we need to increase numofOperations for this m by 1, but let's look at it reversely. Let's say our answer is (numOfOperation + 1) * m so we 'predict' that 1 of these 2 conditions will always hold, so we need to find when it won't. We can deduce that if we start increasing m from 1 and come to a point where first condition disturbs the pairing, it means that it will also disturb it for all m >= current one. But if the second condition happens, it just means we need to shift our search between next two elements in array a.SO, the solution will look like this: 1)Find greedy for starting a and b 2)In every interval between a[i] and a[i + 1], we can fast check for which m-s was our prediction bad(none of 2 conditions happened), which will be for all m-s between a[i] and b[i + numOfOperations] 3)If, at any moment while iterating i, we come to a point where first condition happens, we end the iteration because to fix the pairing from now on, we need to add 1 to every solution, which we already did. Time Complexity:O(n)

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thank you for the solution!

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229293708 should give tle

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how to solve for k=4 in Div 3 problem C raspberries?

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In Question 1883 F why I am getting TLE?? 229371473 it's O(n)

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The rounds were beautiful, they helped me get to Specialist for the first time! Really glad :D

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In Div3 E , You can simply calculate how many 2's in every a[i] and then just calculate the difference of

    a[i-1] - a[i]
if a[i-1]+pre[i] > a[i]

. here pre[i] is number of 2's used earlier !

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can anybody explain why 1883E giving tle on using brute force multiplying 2 consecutively as the maximum time 2 can be multiplied is 32 times so why tle?

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About Div1F,there are some details about the boundries---there should be no $$$nxt_i$$$ equal to $$$r_1$$$,but the editorial didn't metion this,please update your editorial.

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I am a python user and wondering how can i solve 1883D In Love question as python don't have the inbuilt feature of multiset.

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maybe i play genshin impact to much...

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Note that $$$a$$$ subarray suits us if $$$a_l$$$ is the leftmost occurrence of the number $$$a_l$$$ in the array and $$$a_r$$$ is the rightmost occurrence of the number ar in the array.

Could any body explain why this is correct?

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In G2. Dances (Hard Version), how to proof the line "changing one element of array a cannot worsen the answer by more than 1"? :")

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1883F Anyone know why my solution TLE when i use unordered_map but AC when i use map?

Submission: 229484801

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    That task got an antitest for unordered_ structures. Hash table inside of the structure allows to have $$$O(1)$$$ on average, but that test was build to just cause hash collisions. Those collisions result in raising the asymptotics up to $$$O(n)$$$, which is the worst case.

    Normal map doesn't use hash table and has $$$O(\log n)$$$ always. That kind of increases the asymptotic, but a lower constant and the impossibility of "unlucky cases" make it work way faster, comparing to unordered_map.

    You can find more info in comments under the announce post.

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In problem 1883E, can anyone tell me why my code is getting runtime error? My submission

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HELP PLS:
https://mirror.codeforces.com/contest/1887/submission/229544478
DIV 1 D PROBLEM
I DONT KNOW WHY THIS FAILS AT TESTCASE 29

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Div3 E can be solved easily using logarithm and its properties, Its more optimal and even simpler to understand,.. the code for the same is as follows:

#include <bits/stdc++.h>
using namespace std;

//ψ(`∇´)ψ    TeqArine    ψ(`∇´)ψ

#define ll long long int
#define yessir cout<<"YES"<<endl
#define nope cout<<"NO"<<endl

int main(){
    //Fast I/O:
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);

    //My Code Here...
    int t;
    cin>>t;
    while(t--){
        ll n;
        cin>>n;
        vector<ll> v(n);
        for(int i=0;i<n;i++)cin>>v[i];

        vector<ll> c(n,0);
        for(int i=1;i<n;i++){
            ll y=(ceil(log2(v[i-1]*1.00/v[i]*1.00)) + c[i-1]);
            c[i]=(y>0?y:0);
        }

        ll out=0;
        for(auto num:c)out+=num;
        cout<<out<<endl;
    }
}
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    void solve(){
    ll n; cin>>n;
    vt<double>a(n);
    rep(i , 0 , n){
      cin>>a[i];
      a[i] = log2(double(a[i]));
    }
    ll count = 0;
    rep(i , 1 , n){
      if(a[i]- a[i-1] < 0.0){
        ll val = ceil((double)a[i-1]-a[i]);
        a[i] += val;
        count += val;
      }
      
    }
    cout << count<<"\n";
    }
    

    could u tell what is wrong in this

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Could someone explain me why the solve of the test case: 3 2 2 3 for the problem 1883F — You Are So Beautiful is 3 and not 4.

there are 4 differeces subsequences ( [2,2] [2,3] [2,2,3] , [3])

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    The subsequence [2,3] isn't unique. We can choose indexes 2,4 or 3,4 (similarly with the subsequence [3])

    In this case we have suitable arrays [3,2,2], [2,2], [2,2,3] and [3,2,2,3]

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How much did you take to make this three contests?

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could anyone please tell me what is wrong with my submission? submission- 229277838

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Why I m getting TLE ...can anyone please tell me the reason behind the TLE... while(t--){

int n;
        cin>>n;

        vector<int> v(n);
        unordered_map<int,int> l;

        for(int i=0; i<n; i++){
            cin>>v[i];
            l[v[i]] = i;
        }

        unordered_set<int> f;
        ll cnt = 0, ans = 0;

        for(int i=0; i<n; i++){
            if(f.find(v[i])==f.end()) {f.insert(v[i]); cnt++;}
            if(l[v[i]]==i) ans += cnt;    
        }

        cout<<ans<<endl;

    }

// code of the problem F(You are so beautiful)

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    2 года назад, скрыть # ^ |
     
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    Seems correct to me. Try not using "unordered" sets and maps; their internal hash implementation is not that great, which can cause collisions resulting in TLE. Either use an ordered map or an unordered map with a custom hash. See this for more info.

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can someone tell me why cant we just delete bad subarrays from total in question You Are So Beautiful.

Code
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Wonderful problems. Thank you!

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Boozy, when you come here? Yes, I love you too.

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Alternate brainless $$$O((n + q)\sqrt{n})$$$ solution for div1-D:

Divide the array into square root blocks. Now for queries spanning only one or two square root blocks we can simply bruteforce in $$$O(\sqrt{n})$$$ time.

For queries spanning > 2 blocks, lets think of how we can efficiently check whether a split point exists within a square root block $$$B$$$ which lies completely within the query.

Let $$$B_l$$$ and $$$B_r$$$ be the left and right bounds of the block $$$B$$$. Let $$$mx(l, r) = max(a_l, a_{l + 1} \dots , a_r)$$$ and $$$mn(l, r)$$$ is similarly defined for the minimum.

Now, for a query $$$(l, r)$$$, a split point $$$S$$$ exists within block $$$B$$$ if $$$max(mx(l, B_l - 1), mx(B_l, S))$$$ < $$$min(mn(S + 1, B_r), mn(B_r + 1, r))$$$.

Note

Claim: For any query $$$(l, r)$$$, a split point is present in block $$$B$$$ if and only if there exists some $$$S$$$ such that the ranges $$$[mx(l, B_l - 1), mn(B_r + 1, r)]$$$ and $$$[mx(B_l, S), mn(S + 1, B_r)]$$$ have a non zero intersection.

Proof

Therefore, for every block, we need to create a structure which holds information about a set of ranges of size $$$p = O(\sqrt{n})$$$ and can efficiently answer queries of the form:
Given a range $$$[l, r]$$$ answer whether any range in the set intersects with $$$[l, r]$$$.

We can easily solve this subproblem online in $$$O(p + range)$$$ time with some precomputation.

Solution

So, we prebuild this structure for each block in $$$O(n\sqrt{n})$$$ time and $$$O(n\sqrt{n})$$$ memory.

Now each query is answered by firstly brute forcing over the blocks at the edge, and for each block $$$B$$$ which lies completely in the query, we query the structure corresponding to $$$B$$$ to check if the range $$$[mx(l, B_l - 1), mn(B_r + 1, r)]$$$ intersects with anything.

Finally, we achieve a total time complexity of $$$O((n + q)\sqrt{n})$$$ and consume $$$(O(n\sqrt{n}))$$$ memory.

Code: link

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2 года назад, скрыть # |
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Problem F :  link to my submission here uni is the vector to count unique elements see submission 232780368

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2 года назад, скрыть # |
 
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I solved 1883D - Влюблино by convert a[i] to log(a[i]) and binary search to find the minimum k that a[i] + k >= a[i-1]. That's so much simple but I love your technique!

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22 месяца назад, скрыть # |
 
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This is Reshwanth, Hi 1883 G1 (https://mirror.codeforces.com/problemset/problem/1883/G1) doesn't deserve the 1400 it's just the LANGUAGE is so hard to understand, it took less time to think the idea of answer than understanding the question itself.

My Opinion tho :)

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20 месяцев назад, скрыть # |
 
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can anyone tell me on which testcase this code is failing: 278325131

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16 месяцев назад, скрыть # |
 
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There is a linear solution for 1888E.

Let us call a node released if it is able to be reached from vertex $$$1$$$, and call a node unlocked if there exists an edge between it and a released vertex but itself has not been released yet. First, vertex $$$1$$$ is released. For a moment, we release the unlocked vertices that are connected with a released vertex at that moment, and then we unlock the nodes which are not released but are connected with the newly released nodes. In order to do so, we can maintain all the unlocked vertices for all time moments using vector. Since we only have to release a vertex once, and an edge only produces no more than two unlock operations, the total time complexity is $$$O(n + t + k + \sum m_i)$$$. Code

Note that you cannot push back elements into a vector while iterating it by for (auto ele : vec), or you may receive Runtime Error.

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10 месяцев назад, скрыть # |
 
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Can anyone explain in the Question 1883 G1 Dances (Easy Version) we are sorting the both arrays a and b then applying normally 2 pointers but will it work in the testcase : n = 5 a -> 5 4 3 2 1 b -> 2 3 4 5 6 If it works the please explain.

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4 месяца назад, скрыть # |
 
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in 1883C-Raspberries, can someone clearly explain cases when k = 4, i figured when k = 2, 3, 5:- we can do for every i, $$$ans$$$ = $$$min_i$$$((k — (x % k)) % k))

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2 месяца назад, скрыть # |
 
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Can someone please tell me why my code doesn't work for problem C 361169325