Hello everyone! This round will be a little bit special because it is composed from the problemset of Saratov school elimination stage to the all-russian olympiad of school students. The problems were invented and prepared by Alexander fcspartakm Frolov, Ivan BledDest Androsov and me, Vladimir Vovuh Petrov. Good luck to everyone!

**UPD**: Thanks to Daria ZeroAmbition Stepanova and Danila sad101010 Smirnov for testing!

**UPD2**: We will open solutions to view and start the hacking phase a little bit later because the school elimination stage is not over yet. We will open all in about two hours. **Please don't discuss any solutions during next two hours**.

**UPD3**: Now you can discuss problems.

**UPD4**: Editorial is published!

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Hello! Codeforces Round #587 (Div. 3) will start at Sep/21/2019 10:05 (Moscow time). You will be offered 6 or 7 problems (or 8) with expected difficulties to compose an interesting competition for participants with ratings up to 1600. However, all of you who wish to take part and have rating 1600 or higher, can register for the round unofficially.

The round will be hosted by rules of educational rounds (extended ACM-ICPC). Thus, during the round, solutions will be judged on preliminary tests, and after the round it will be a 12-hour phase of open hacks. I tried to make strong tests — just like you will be upset if many solutions fail after the contest is over.

You will be given 6 or 7 (or 8) problems and 2 hours to solve them.

Note that **the penalty** for the wrong submission in this round (and the following Div. 3 rounds) is **10 minutes**.

Remember that only the *trusted participants of the third division* will be included in the official standings table. As it is written by link, this is a compulsory measure for combating unsporting behavior. To qualify as a *trusted participants of the third division*, you must:

- take part in at least two rated rounds (and solve at least one problem in each of them),
- do not have a point of 1900 or higher in the rating.

**Regardless of whether you are a trusted participant of the third division or not, if your rating is less than 1600, then the round will be rated for you.**

Thanks to MikeMirzayanov for the platform, help with ideas for problems and for coordination of my work. Thanks to my good friends Mikhail PikMike Piklyaev, Maksim Ne0n25 Mescheryakov and Ivan BledDest Androsov for help in round preparation and testing the round.

Good luck!

I also would like to say that participants who will submit wrong solutions on purpose and hack them afterwards (example) will not be shown in the hacking leaders table.

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Is it rated for all problem XD

Enough with that already. Instead of being sarcastic, why not prepare a round yourself? :)

Because cf only allows to prepare contests for experts and higher

Numb DESTROYS kocko with FACTS and LOGIC.

For you I am sorry_marymarine

Please read upstairs first

I hope to become blue by EOD tomorrow.

funny

Rip. My problem D in ECR 73 got hacked only because I didn't use fast printer. Sad the test cases didn't catch that.

It is almost midday when the contest starts and sort of every student is supposed to have classes at that time.

Excited for my first contest :)

Good luck! :D

Too early

But this is suitable for Chinese people XDDDD

I hope the problems are sorted by difficulty:)

How and when can I hack others solutions? Morning I was searching for that option in educational codeforces. Didn't get it. So someone give detailed description of how to see and hack others code please.

You can hack others after the contest and it lasts 12 hours

Yeah, I should go for hacks and then what?

if you can hack someone you will be given 100 points

In Div. 3 and Educational Rounds you don't get any points for hacking.

I missread it as "Thanks to Smirnoff for tasting!".

So if you rating is more than 1600 then you will be unofficial.

Otherwise, you must be a trusted participant to be in the official table. However, even if you are not a trusted participant and have ratting less than 1600 then the round will be rated for you.

I did not get it. Can a participant not be in the official table but his/her rating changes?

Or there is an official table separated from CF?

Basically when you switch from unofficial to official standings, in addition to removing non-div3 participants, it will remove all non-trusted participants. However non-trusted participants will still be used for rating calculations. So to simply answer your question — Yes, it will be rated for them but they will only be visible under unofficial standings

I hope I will start with Expert on CodeForces.

Another Candidate master , making an alt account , waiting for people to reply "Wow you did it" after the contest.

hoping to gain rating!

round is rated right?

Finally Div-3...

Want more contest of Div-3..In fact one in every week....wonderful

I am going to do the same :D

Another contest as i have lessons (not computer) in the school... That's terrible...

Damn I just woke up

USA all nighter gang

A similar problem. Similar to problem E.But I am still unable to solve E2

https://math.stackexchange.com/questions/188812/n-th-digit-in-the-sequence-of-natural-numbers

Maybe it is a famous problem

Why is sum of area of intersection = area of original rectangle not working in C :((

you will also need to subtract area of the intersection of the intersections as that will be counted twice.

Auto comment: topic has been updated by Vovuh (previous revision, new revision, compare).In D, I have taken the difference of every element with the maximum element of the array. Then took the gcd of all the values which is the minimum number of swords each person will take. Then the answer will be the number of persons and swords each person will take.

Why I got the WA in test case 5?

I did the same. But remember to filter out the '0' values while finding the gcd.

why we should to remember zeros?

That doesn't matter, since $$$\gcd(0, k) = k$$$.

same

I got the same firstly.

Expecting test smth like:

`4`

`1 1 5 9`

try it.

I got output 20 1 Is it correct..?

No. You can do it with 5 people, 4 swords each.

I got it...Thanks

using x, y, z — notations from D;

x = max element of the array;

z = gcd(z, x — a[i]), i = 1..n;

y += (x — a[i]) / z, i = 1..n;

This is not true number of swords is right in your case bt the number if people is sum of the difference of each element with maximum divided by the number of sword

Dat feel when you start from C...

Totally agree, I skipped C without thinking once I saw these rectangles in the problem and start solving (D) xD

No hacking phase ?

How to solve F?

Odd, is there no system tests? Usually the standings say "System testing" but now it just says "Final standings".

Hacking phase will start soon, you have to wait till it's over.

How to approach E guys?

How to solve E?

You can try to solve 1177B - Digits Sequence (Hard Edition), as they are quite similar.

Hint: Try to calculate number of digits for 123456789101112.... by breaking them down into 1-9,10-99,100-999,1000-9999,...

My thoughts were on the same track but couldn't come up. I'll try this one.

For E1.

k is small. We can process the number of digits of i as d[i], and process the perfix sum of d[i] as sum[i]. Then for each k, we can use binary search to find i which contains k-th digits.

For E2.

Link my solution, another comment, here.

Hope it can help you.

problem E1 wrong test 1??? :(

Is F was lazy propagation

It can be done using RMQ and dp

I solved it with DP + binary search (Just a lower bound).

Not able to understand D at all. To much words and entities.

me too

It just meant that you have n types of sword. Each type has exactly x swords . That means suppose you have 3 types of swords . And each type contains 4 swords so you have total 12 swords.

Then there will be total y people and each will take z swords of same type. That means if anyone take from type one, he has to take all his z swords from type 1.

Lastly, in the input you will be given the information of remaining swords of each type. That means y people may not take all the swords.

you have to find minimum how many people if each one take z swords the input is valid. That means you have to find y and z.

That's the question .

Come on, guys, stop discussing problems, please. The elimination stage in Saratov is still not over.

It was good contest. Thank you for all. btw, How long do we have to wait to be able to submit code?

Read the blog update please

Thanks.

Wouldn't it be more logical to start Div. 3 two hours before the end of the elimination stage, so that everyone would finish at the same time?

Yes, this is more logical. I didn't knew when the elimination stage starts and ends and thought that all is ok.

Since the comments under the announcement are probably the only place where problem discussion may take place, I think it may be reasonable to hide it until the end of the elimination stage (if it is possible).

I hopoe unrate TT

Late for 1 minute. T_T

Wait to submit my E2's code and hope that I will succeed.

So lucky that it passed.

How to solve C? I tried so hard and got WA on test 11 :( It's really disappointing. After so much hard work couldn't get the AC.

I also got WA on test 11 for my first submissions. For me it was because I had calculated the area of overlap between the two black papers, but didn't check that this overlap was within the white paper.

I tried using co-ordinate compression. Click here to read about it. Here is a link to my submission.

Deleted

You need to find areas of intersections. Between first and second, first and third, and between all of them. Then if

S(1, 2)+S(1, 3)-S(1, 2, 3) < S(1)->Yes, else ->Noimg1You can find area of intersections using intersections of projections. Notice that rectangles intersect when both x, y projections intersect.

img2Here is my submission 61021591

By the way, which tool did you use to draw the second picture, it looks cool!

SAI

When hacks will be available?

why this output is wrong in problem B test 3

69 1 4 2 5 6 3

69!=1+5+9+13+21+26

I assume that you are wrong, if I've understood the problem correctly, for this output:

Second term is not 6. If you take a[4](equal to 4), it will be 4*1+1=5. Right answer is 6 1 3 5 2 4

a[4] is 4 with numeration starting from zero. But according to problem statement we have numeration starting from 1. I still can't undestand why this output is wrong

UPD. Actually if I took second barrel wrong, anyway I have 69 as answer , seems like it is still correct sequence.

a[4] is 4 with numeration from one too

Uhh... seems like I understood. Thank you

(5*0+1)+(4*3+1)+(5*1+1)+(4*4+1)+(4*5+1)+(5*2+1)=1+13+6+17+21+11=69

True, but we need (5*0+1)+(5*1+1)+(5*2+1)+(4*3+1)+(4*4+1)+(4*5+1)

this representation is permutation of my representation

vovuh

Okay, if you need an explanation, here it is:

Your permutation is $$$[1, 4, 2, 5, 6, 3]$$$. So durabilities of cans in order you will knock them down are $$$[5, 4, 4, 4, 5, 5]$$$.

So the answer by the formula is $$$(5 * 0 + 1) + (4 * 1 + 1) + (4 * 2 + 1) + (4 * 3 + 1) + (5 * 4 + 1)$$$ $$$+ (5 * 5 + 1) = 1 + 5 + 9 + 13 + 21 + 26 = 75$$$. $$$75 > 69$$$ so firstly you're printed wrong answer and secondly it's greater than author's answer.

SpoilerYou need to print the order of indices. So firstly you need to print the index of can which you'll knock down first, then one you will knock down second, and so on.

thanks,maybe i miss understanding the problem

How to solve E2 ?

I did it using binary search. for each i we are writing numbers from 1 to i. So first I did a binary search on i such that when I write from 1 to i+1, the number of digits exceed k. Now we have to find the number j between 1 and i+1 such that writing till jth number makes the number of digits greater than k. again binary search on this. Once we get j we can easily get our answer. you can refer to my code here

Write down each block in a column and consider all the blocks that the last number has the same number of digits as the Big-block.

The number of Big-blocks is about 9, so we can find k in which Big-block easily.

Then the right block can be found by using binary search. I preprocessed

`the longest length of block in each Big-block`

and`the sum of digits of all Big-blocks`

.Now this problem 1216E2 - Numerical Sequence (hard version) was translated to 1177B - Digits Sequence (Hard Edition).

Here is my solution 61007196 and wish it can help you more.

when can i solve it again

Great round!

For C, can someone explain how the answer is "NO" for TC 11:

50 100 100000 99000

13 4654 999999 1000000

0 0 1000000 45654

Dunno why you ask. White rectangle is almost inside first black rectangle except a little part near point (0;0) and the 2nd rectangle covers this part.

Possibly you should notice that it's 999999 that is not 99999

How to solve problem F?

I think it can be done using dp and segment tree with lazy propagation but am a little bit confused.

what should the dp state be and how to use segment tree efficiently with dp?

Think of the problem like this — there are $$$n$$$ offers for intervals $$$[l_i, r_i]$$$ and the $$$i$$$-th offer has cost $$$c_i$$$ (this problem is only a special case). We want to cover all indices $$$1$$$ to $$$n$$$ and choose the cheapest such set of intervals.

Now here's the dp state: let $$$dp[i]$$$ denote the minimum cost to cover indices $$$1$$$ to $$$i$$$ with intervals that have their right point $$$\le i$$$. The answer is $$$dp[n]$$$. The base is $$$dp[0] = 0$$$. How do you transition?

To find $$$dp[i]$$$, you must cover indices $$$1, \cdots, i - 1, i$$$. Since in $$$dp[i]$$$ we're looking only at intervals that end $$$\le i$$$, obviously, we must choose at least one interval that ends at index $$$i$$$ to cover it. Also, we choose

exactlyone such interval, because if we chose more than one, we can pick the longest and that won't affect the answer. Which interval should we choose? Let's iterate on all possible choices for that — let's pick an interval that ends at $$$i$$$ (call it $$$[l, i]$$$) and say it has cost $$$c$$$. Once we have picked this interval, we just have to ensure that indices $$$1, \cdots, l - 1$$$ are covered because this interval covers the indices after $$$l - 1$$$. What is the minimum cost of this subproblem? It's not $$$dp[l - 1]$$$, because there could be a cheaper configuration with intervals that end after $$$l - 1$$$ but before $$$i$$$. To cover those possibilities, we take the minimum of $$$dp[l - 1], dp[l], \cdots, dp[i - 1]$$$ (call it $$$m$$$). So the optimal cost of doing this is $$$m + c$$$. And $$$dp[i]$$$ is the minimum of this expression over all intervals that end at $$$i$$$.We can store at each index a list of intervals that end at that index, and to support finding $$$m$$$ quickly, we can maintain a segment tree that stores $$$dp$$$ values of each index and allows us to find minimum in a range of indices.

Thank you for the explanation.

In addition, since all intervals have identical lengths (except those near the bounds, but this is not really a problem), you can maintain a sliding window minimum to solve the problem in $$$O(n)$$$.

Edit: a 21-liner getting AC — 61020296

Can any one tell why my solution got failed on test1 61010239

your answer is 2 3 1 , but it's wrong , the correct answers are 1 3 2 or 3 1 2 .

That was good :)

Did you get + or -? comment it ...

Did you get not "Do you get"

Thanks ! I corrected it :)

You really want contribution :D

:|

I wrote a segment tree to solve problem F, and I also know that it can be solved with something like the sliding-window. But I found many solved it without using any data structures example. I'm just wondering how that works.

Can someone please help me with that?

How to approach E1?

Process the number of digits of i and get the prefix sum, then use a binary search to find i which takes up the k-th posithon. Finaly the answer is the

k-sum[i-1]-th digit of i.Here is the commit which is my solution for E2. If you are interested in E2, Link it.

Thank you very much

Is E2 Digit DP?

I solved it with binary search and some mathematical calculations.

If you are interested in my solution, hope the commit-544591 can bring you some of the inspiration

RIP my problem E :<

What's the hack for C?

one of them =)) 0 0 3 3 5 5 6 6 0 0 4 4

your solution is WA with follow case 2 6 8 8 1 2 3 3 1 3 10 10 sorry, I will hack your solution :(

Hi. Could you please tell me where the mistake is in my code?

Submitted a solution for problem D with complexity n*log(10^14) + sqrt( 10^14 ) This gave a TLE in java in test case 16 during contest Same code I rewrote in c++ after contest. It passed all pretests.

Time limits too strict for Java

you can solved it with complexity n*logn time

O(n) is easy to! you just get the maximum number and find the GCD of all (maximum — a[i]) and output sum(maximum — a[i]) / GCD and GCD

Actually gcd works at O(log(n)) time

yeah my fault :( thanks for recommending

Just sort and you are done

i remember when i meet the problem c in france ioi and i skipped it !

It was interesting that my exact the same solution for A was TLE in PyPy3 but accepted in Python 3. Any idea?

Try to avoid using

`+=`

with strings in Python, when you add chars multiple times. There are some optimizations thrown in here and there, but it sometimes happens that this method's performance degrades to $$$O(n^2)$$$, since each time you append a couple of chars this way, a brand new copy of the whole string may be created.Instead, you can put all strings into an array, and then write something like

`s = ''.join(a)`

, which is definitely faster.Update: now your code passes in 140 ms — 61033581

Good to know! Thank you so much!

Same solution, just change in indentation and variable names, was expecting same handle too! :(

sol1: 60988370 sol2: 60998975

MikeMirzayanov sir, please look into the matter.

Even though I gained rating,but I have to blame this round. For Problem C,my friend write a wrong solution and submit his code. But he passed all the pretests!!! Do you know why he was wrong? We know that we need to consider all the edges of the white rectangle. But he only considered the rows of the white rectangle,and he passed all the pretests!!!! Why?This is amazing,man.What a shame of the pretests.

always waiting for a div3 but my rank always drop after participating in them :( after all thanks for a good round !

Hi MikeMirzayanov, I had used unintentionally public online compiler(ideone.com) in middle of contest for solving Question D. Here is link to my solution on ideone which I had used in middle of round unintentionally. But there is message from system saying that my submission is exactly same with some other guy. Here is his solution which is exactly same as mine. I think he has taken the solution from there only because I don't know that guy. It is my mistake to use online public compiler which I will take in account for further codeforces round.

i think my solution 60995513 for the problem 1216F and solution 60994761 of tuan52 just a coincidence, Because each problem can have different ways, the same idea is inevitable. tuan52 and I use queues so we can have the same idea, can't say we copy each other's code

The same idea causes similar solutions but not

exactly the samecode with only the changes in indentation and variable names. Don't you think your solutions are somehow too similar?Sorry if I'm wrong.

i don't know why, but I'm sure he and I don't know each other

do you know is there any key to problem E1,which is also called the explanation to that problem?

This is regarding the notification I received having similar code to some other codeforces user. For problem B, the code to keep track of indices is available here https://www.geeksforgeeks.org/keep-track-of-previous-indexes-after-sorting-a-vector-in-c-stl/ and the rest logic is highly vulnerable to probability of being same.

Also I did use ideone on public setting unintentionally http://ideone.com/KvSYMv but thought this is highly unlikely to be copied since almost 100+ submissions are done every minute there.

Anyhow,the system may realize, I have clear early submission & please remove the warning on my profile.

I received a talk from System saying that my solution 60971083 for the problem 1216A significantly coincides with solutions Arianfk/60969857. It's just a coincidence. I am surprised that the two solutions are almost the same. I wrote the code myself without reference to any third party code. 1216A is a simple problem that can be solved with only a few lines of code, and I think it is true that the similar solutions may occur.

This is regarding the following system message I received.

Attention!Your solution 60996009 for the problem 1216C significantly coincides with solutions meet29/60996009, gagan_6730/60997664. Such a coincidence is a clear rules violation...Upon investigating (if it can be called that), I found that it's the exact same solution. The only thing is that my submission was made earlier. I could think of no reason how my code could have been leaked as I never use any online IDE, just editors, and compilers on my machine. But, later, I recalled that I had received a new sign-in mail while the contest was running. I had thought at the time that it was probably a delayed mail for my own sign-in (OS and browser were the same) so I didn't think twice about it. Now, that is the only thing that makes sense to me. I don't know for sure if that is what happened i.e. my account was compromised, but that is the only logical explanation to me. The IP did turn out to be different.

The timeline of events was as follows — I submitted, then I received the mail about a new sign-in, and then the copied solution was submitted.

I don't know if this would constitute as an unintentional leak, but if it would, I take responsibility for any penalties. Regardless, I have taken the necessary steps to secure my account so that such an instance does not repeat (if this is what had happened). Will surely be more careful from now on. Lesson learned, the hard way.

Clarification of my flagged plagiarism submission:

Your solution 60992562 for the problem 1216C significantly coincides with solutions anonymous-420/60989907, CandyZack/60992562.

I have used a part of the code from stackoverflow, the link is below. https://stackoverflow.com/questions/27152904/calculate-overlapped-area-between-two-rectangles

Because both the submission uses the same code form external site, I urge you to remove the plagiarism on my submission.