Codeforces Round #532 (Div. 2)

6 years ago, # ^ |

← Rev. 2 →

+41

why not?

Rather than complaining about it, maybe it would be more beneficial to get better at the topic, because it's not going away.

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6 years ago, # ^ |

-107

why not?
because it is completely pointless and rather than wasting time "getting good at it" for no reason, they might as well give us better and more useful problems overall.

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http://imo-official.org/country_team_r.aspx?code=IRN

6 years ago, # ^ |

+35

Do you have any reason why other problems are “better” and “more useful” besides just your opinion?

It’s not pointless if your goal is to get better at cp. You’ll end up doing better in contests because you’ll know the topic.

And if you don’t want to learn geometry either, that’s perfectly fine. Just don’t start complaining about the questions when you can’t do it, since you made the choice not to learn. There’s 5 other questions for you to try.

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eisen_shinzou

6 years ago, # ^ |

← Rev. 2 →

-34

I'm neither with any sides nor saying geometry is bad, but you know, memorizing( or even searching ) a formula and coding an O(1) program is not really fun.

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Um_nik

6 years ago, # ^ |

+87

All you need to memorize is the definition of sin function. If you can't memorize 8-th grade math, then I have bad news for you.

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OmarKimo

6 years ago, # ^ |

How does the definition of sin function help in solving this problem?

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Um_nik

6 years ago, # ^ |

+75

You have to connect center of inner circle, center of outer circle and point of tangency between two outer circles, In this triangle we know two sides, one acute angle, and also we know that angle between tangent and radius is right.

$\text{[math]}$

I'm not saying that this problem is innovative or interesting, but in no way that's because it is geometry or math in general.

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eisen_shinzou

6 years ago, # ^ |

-14

OK, I'm too stupid, and I know it!!!

BTW in our country they teach it in 11th grade, and I haven't reached there yet.

And again; BTW I know what sin func is.( But still stupid )

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M_H_H_7

6 years ago, # ^ |

in your country you learn it on the second lesson of the 10th grade math!

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Mikaeel

6 years ago, # ^ |

+15

Your school is very ghavi!

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VadymKa

6 years ago, # ^ |

jfyi Iran is quite good at math:

Good luck studying more advanced mathematical concepts like tanh or derivatives.

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6 years ago, # ^ |

-51

exactly, it isn't fun nor useful.

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6 years ago, # ^ |

+14

It can be boring if you can instantly come up with the correct formula and code it up (but it's also good, since it will give you more time to work on other problems).

If you don't know the formula, you can spend some time deriving the solution using what geometry knowledge that you know.

And isn't going through the process to reach a solution the fun in cp?

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6 years ago, # ^ |

-66

so in conclusion, it is pointless. period. glad we could all agree.

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6 years ago, # ^ |

-11

Sorry if you didn’t see it before.

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6 years ago, # ^ |

-67

i saw it but because you have anime profile picture i have automatically skipped it so i didn't count it.

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Um_nik

6 years ago, # ^ |

+28

What is useful?

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eidan

6 years ago, # ^ |

+42

So geometry is useless, but wasting time to create fake accounts is useful?

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6 years ago, # ^ |

-19

how can an account be fake?

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eidan

6 years ago, # ^ |

+27

You didn't have the balls to post that comment with your actual account because you feared downvotes, so you created this one. Do you honestly think we don't know that?

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6 years ago, # ^ |

-12

THIS is my main account. you can ask the codeforces administration about this.
your downvotes don't affect me, they are worthless because i know what i say is true.

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neel71

6 years ago, # ^ |

+13

You yet to do a contest in your "main account" and you are complaining about problemset. WOW!!!

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6 years ago, # ^ |

-11

? what are you talking about?

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neel71

6 years ago, # ^ |

← Rev. 3 →

+10

Before trying to make the community fool, you may not notice your color is still black now :P :P And you may be forget people can go to your profile and see the number of contest you attend till now.

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6 years ago, # ^ |

-25

you imbecile just because it glitched for you doesn't mean that's how it is for everyone.

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Noche_3

6 years ago, # |

Illuminati wants to know your location.

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Tigutor

6 years ago, # |

+131

There is a drastic difference between A-C and D-F, so the contest turned into speed coding.

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6 years ago, # ^ |

True. but problem D was not that tough. But don't know why people couldn't solve it.

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TO_OO_EndGame

6 years ago, # |

I hope you not to repeat it

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6 years ago, # ^ |

+20

That's not constructive criticism.

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TO_OO_EndGame

6 years ago, # ^ |

-29

I am really sorry but , the contest went into wrong direction and I hope the next contests that prepared by him to be more good and avoding the mistakes that has happend at this contest . hope good luck for all .

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6 years ago, # ^ |

-15

you’re right it was trash

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6 years ago, # ^ |

Was that your another fake ID or something else?

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6 years ago, # ^ |

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AZ01

6 years ago, # |

+53

Worst Problem statement with worst Explanation. Wasted 10 min in just understanding the problem Statements

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6 years ago, # ^ |

+40

Also boring A,B,C and unbalanced problemset. Slight error in implementation and you are very low in ranklist.

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6 years ago, # ^ |

That happened to me :(

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slappy

6 years ago, # ^ |

i am still trying to understand D. LOL

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AZ01

6 years ago, # ^ |

← Rev. 2 →

-11

....

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slappy

6 years ago, # ^ |

← Rev. 2 →

-24

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gfonn

6 years ago, # |

Why D, E, F so hard? Massive AC-gap between C & D :(

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SlavaSSU

6 years ago, # ^ |

+27

For me E is easier than C.

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TheStory

6 years ago, # ^ |

That's right.But D is too hard to put in a Div.2 D I think.

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6 years ago, # ^ |

C was pretty straight forward. If you know Trigonometry, It is easier than A , else you wouldn't be able to do it :( How about E ? Didn't read that. Was it a data structure problem ? Or something else ?

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slappy

6 years ago, # |

A, B, C = A and D, E, F != DIV 2.

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6 years ago, # |

← Rev. 2 →

In problem F, are we supposed to answer the queries for maximum subarray xor? Probably somehow offline?

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aviroop123

6 years ago, # ^ |

+13

No, we have to choose some numbers from l to r s.t. their xor is maximum ... It's a problem similar to https://www.spoj.com/problems/XMAX/.

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6 years ago, # ^ |

← Rev. 2 →

I am aware of that, let me reformulate my question. Is that problem equivalent to finding maximum subarray xor on segments of the given array?

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aviroop123

6 years ago, # ^ |

No, it's related to finding independent basis vectors of l to r. It can be done using gaussian elimination. But my solution was N*logN*20^2 which is not enough to pass t.l.

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IceKnight1093

6 years ago, # ^ |

In general, maximum subset xor and maximum subarray xor aren't going to be the same — subarray is a fairly restrictive condition when you need to pick things.

For example, take a = [5, 6, 2]

Maximum subset xor is 7, maximum subarray xor is 6.

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6 years ago, # ^ |

Isn't subarray a subset of an array?

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IceKnight1093

6 years ago, # ^ |

If that's the definition you're going with, then yes, the answer is maximum subarray xor.

I'm going with the more commonly used definition for competitive coding, where a subset is your usual subset and a subarray is a contiguous segment of the array. Similar to how a substring is a contiguous segment of a string.

Something like this, basically.

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6 years ago, # ^ |

Can it be done without Gaussian elimination?

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IceKnight1093

6 years ago, # ^ |

Maximum subarray xor can be done with a trie — see here for a tutorial.

Maximum subset xor, I don't think so. I'm not aware of any other method at the very least.

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hypomaniac

6 years ago, # |

How to solve D?

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sniffleheim

6 years ago, # ^ |

+26

Bring the king to the center. Then count the number of rooks in each quadrant, and go diagonally in the direction opposite to the quadrant with the least number of rooks.

Verify as an exercise that this works.

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RedNextCentury

6 years ago, # |

+26

How to solve F?

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6 years ago, # ^ |

+49

Take yesterday's G -> TLE with seg tree -> use divide and conquer that you can use just prefix/suffix -> done

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RedNextCentury

6 years ago, # ^ |

+11

Yeah I got TLE with segment tree, very nice solution, thanks!

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aviroop123

6 years ago, # ^ |

Is it possible to merge two independent vector sets in better than 20^2 time?

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6 years ago, # ^ |

← Rev. 2 →

+26

I don't think so. My solution computes suffix/prefix when dividing [l, mid) [mid, r) (to add a number to a prefix/suffix is O(bits) time) and then solves the queries with l < mid and r >= mid in O(bits^2).

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aryanc403

6 years ago, # ^ |

Your Gauss struct is black box for me.
If you can provide some intuition how those max and min are working?
First time I have seen inserting an element in O(bits).
My implementation in O(bits^2) was giving tle.

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6 years ago, # ^ |

You can add number by number. So instead of thinking of a N*BITS matrix when you have N numbers, think of a BITS*BITS matrix where you insert one value at a time. Also, don't use vectors in code like this that uses a ton of memory, it'll use a lot more memory and it'll have more cache misses. For max, you have the basis so just go from the number with highest bit to lowest bit and activate the bit whenever you can.

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aryanc403

6 years ago, # ^ |

← Rev. 2 →

+10

Got it. Thank You.

What I have understood is that each no in your table has a bit (the most significant bit) associated with it. Similar to the basis vector which has at least one dimension with them.

And that no is responsible for activating(max)/ deactivating(min) that particular bit.

P.S. After reading I got core idea of your implementation. But was bit confused with just go from the number with highest bit to lowest bit So, I added prt function in your implementation. And then I came up with the above explanation.
Thank you. :)

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6 years ago, # ^ |

+10

In your submission (linked below), the Gauss::add() function confuses me.

I think that the invariant for the Gauss class is that if table[i] > 0 then the $i$th bit of that needs to be set. But if you don't make that check in your add(), this invariant could be violated.

Your submission did get AC, so what am I missing here?

48339644

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6 years ago, # ^ |

← Rev. 3 →

Edit: True, let me think how that worked rofl. So... I got careless and think that code shouldn't work, systests were weak?

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pranjal.ssh

6 years ago, # ^ |

+34

You can split your array in chunks of size 20 and use sparse table on array of size n/20. Query can now be answered online in 20*20 time by sparse table query + adding elements partially belonging to a chunk one by one.

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Ari

6 years ago, # ^ |

Nice! I thought of sparse table but I didn't think of dividing into blocks, that's a cool idea.

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6 years ago, # |

+43

Does E have the following solution?

Sort all the edges according to c. Binary search over this to find the edge so that no cycle is present. Compute the topological order of this graph without cycle and add reverse remaining edges which violate the order.

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Determination

6 years ago, # ^ |

Sorry if I understand your idea wrong, but don't you mean to reverse all the edges that have a lower cost than the middle in your binary search ? I thought the same but there might be some edges that you can reverse that should not be reversed which made it so much harder

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6 years ago, # ^ |

You cannot reverse all the edges which have lower weight because you might end up getting cycles in new graph. Instead what you do is reverse those edges which violate the topological order as a directed graph has no cycles iff it has a topological order.

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6 years ago, # |

+33

The problems were actually pretty good, but the difficulty gap was pretty bad. Hope you can balance the problems in the future!

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mkisic

6 years ago, # |

+28

How we were supposed to locally test D?

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minibowser

6 years ago, # ^ |

Write your own local judge, or don't write with mistakes.

Anyways, if you submitted and get a wrong answer on the first test, it will tell you what went wrong, for example "invalid move for king", which is still helpful.

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6 years ago, # ^ |

+15

I scaled down the problem by a factor of 111, i.e. 9x9 board and 6 rooks in play.

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6 years ago, # ^ |

That's a really clever line of thought.

I can see that 1 dimensional properties and 2 dimensional properties of the problem will remain the same. But maybe, just maybe, the properties of the problem that require an interaction of a 1D vs 2D would not hold.

I'm sorry that I'm very vague, but I'm not very clear about it myself. I also can't think of an example of such a property.

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golions

6 years ago, # |

← Rev. 2 →

How to solve E? I thought of using finding a maximum spanning tree and every not used edge would be a flipped edge, but I didn't know how to implement a dsu for directed graphs.

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6 years ago, # ^ |

← Rev. 2 →

+24

binary search the answer, then the problem becomes to check whether it has cycle.

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golions

6 years ago, # ^ |

Thanks

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YuGo

6 years ago, # ^ |

Hey, one quick question, would we reverse all the edges whose c is less than or equal to mid?

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6 years ago, # ^ |

+15

No, find a valid topological ordering for the graph with > mid. Now, just orient the edges <= mid according to this order.

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lclpsoz

6 years ago, # ^ |

I don't see why I can ignore edges to check of cycles just because I can choose the orientation of them on the directed graph.

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6 years ago, # ^ |

Given that you ignore them, you have a topological ordering. Now, you can direct them using the topological order (from the vertex that comes first in the order to the one that comes second).

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lclpsoz

6 years ago, # ^ |

Thank you!

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6 years ago, # ^ |

can you explain what u mean by bs over the answer? what answer

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6 years ago, # ^ |

← Rev. 2 →

When a problem is asking for the minimum k satisfies a condition T, and k satisfies T => any k' > k satisfies T, and for a number k' you can check whether k' satisfies T.

You can binary search k. If k satisfies T try k smaller, else try k larger.

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6 years ago, # ^ |

ok skylinebaby i understand .

regarding this question everytime we should choose a k using binary search.

then we can build a new graph with edges > k , if this graph forms a cycle , then answer will obviously will > k , and if not then answer will be <=k.

this way we can get the best k .

now , how to proceed further . which edges to revert so that graph becomes acyclic .

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6 years ago, # ^ |

← Rev. 3 →

You can topological sort the graph with edge > k, because the problem don't need to minimize the number of edge which should be reversed, you can simply reverse every edge which has the wrong direction against the topological sort.

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arjun_9426

6 years ago, # ^ |

so is it reduced to can we make topological order of edges > mid, because if we can do so we can ALWAYS adjust remaining edges? . please help, i m not finding the way that how remaining edges can cause problem to topological order for why we need to orient remaining edges to topological order

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6 years ago, # ^ |

← Rev. 3 →

Yes, if we can make the topological order of edges > k, we can always adjust remaining edges < = k, because we can just follow the topological order. On the other hand, if we can't make the topological order of edges > k, that means there is a cycle with edge all > k, and we can't satisfy the original condition by reversing those edge < = k.

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arjun_9426

6 years ago, # ^ |

oh thanks bro, just got it accepted :D

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T1duS

6 years ago, # |

Wasted the whole time on C. Dunno why got WA on D. Coded E just after the contest ended. Gonna kill myself if it passes.

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Caring_is_a_disadvantage

6 years ago, # ^ |

+20

So, are you dead?

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MirrorCraze

6 years ago, # |

← Rev. 3 →

+14

Honestly speaking, the gap between C and D is very large. C is the normal Div.2 B and B is the normal Div.2 A.

Surely you didn't send problems to the problem pool like what Arkady did on the problem B. I mean it was like, n=6, m = 6 and 112556 then the answer is 000001

Need solution on D too. It really looks like pigeonhole, but I don't know how to do it.

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T1duS

6 years ago, # ^ |

-24

D and E were easier than C

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MirrorCraze

6 years ago, # ^ |

+23

Well, depends on perspective IMO.

For me, I think C is easier than D and E. You just need to write some geometric formula and derive it.

Well, actually I can't tell much because I didn't finish D and E.

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M_H_H_7

6 years ago, # |

+18

C solution

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BogdanRazvan

6 years ago, # ^ |

+24

Geometry problem ---> T̶r̶y̶ ̶t̶o̶ ̶s̶o̶l̶v̶e̶ ̶i̶t̶ google it.

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M.A.H.M.O.O.D

6 years ago, # |

← Rev. 2 →

What were the hacks for B and A? I managed to hack someone on B because his implementation had a time complexity of O((m — n) * n). Are there any other hacks for B?

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Harpae

6 years ago, # ^ |

I passed pretests on A but failed system tests by thinking that you could opt to not remove any tabs. The case 3 2 1 1 1 will break this

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TheRedLegend

6 years ago, # |

How to solve C guys? I could not come with a solution during the contest :(

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Adhami

6 years ago, # ^ |

+22

Solve your homework on triangular formulas. If you did not take them yet, well you are rekt.

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6 years ago, # ^ |

← Rev. 4 →

The centers of the n outer circles make a regular polygon with n sides. Now focus on the centers of 2 adjacent outer circles and the middle circle. You have a triangle with side lengths (r+R), (r+R) and (R+R). You can also find all the angles in the triangle. Finally, you can use cosine theorem to get a formula: (2*R)^2 = 2*(R+r)^2 — 2*(R+r)^2*cos(A) [A is the center angle, actually A = 360/n]. Then, you can simplify and use the quadratic formula, or use binary search.

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kushan02

6 years ago, # ^ |

What I did was visualized that the centers of the outer circles when connected formed a regular polygon with n sides. That polygon has its center coinciding with the center of the inner circle. We can calculate the length from the vertex of the polygon to the center of the inner circle using trigonometry and hence there is only one variable i.e R (here side of the polygon will be 2R). I am almost sure of my solution, I didn't take time to prove what I conjectured, so will come to know exactly if my hypothesis is right when final results are out.

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sun_of_Ice

6 years ago, # ^ |

This is my idea,may be inefficient.

draw some cases,we can find:

The center of inner circle can make a Isosceles triangle with two conterminous outer circles' center,and two angles will be $\text{[math]}$ ,difine this as θ

then we have (R + r)² = R² + (R·tan(θ))²

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Prakash_Gatiyala

6 years ago, # ^ |

← Rev. 3 →

If you connect the centers of two adjacent little circles and the center of the big one, you'll get a triangle. The sides of this triangle have lengths r+R,r+R and 2r

. A little trigonometry will get you that the top angle is

θ=2arcsin(r/r+R).

Since you want the small circles to form a closed ring around the big circle, this angle should enter an integer amount of times in 360° (or 2π

if you work in radians). Thus,

θ=360°/n.

From this, you can compute that

r=Rsin(180°/n)/1−sin(180°/n).

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6 years ago, # ^ |

All you gotta realize is that centers of outside circles must be 2R away from each other. How to get centers? Well just do x = (r+R)cos(t) and y = (r+R)sin(t), where t = (2pi/n)*i. If you want to visualize draw two circles tangent to each other with radius r and R. They will be r+R away from each other, and assuming one of them is at 0,0 the other's coordinates can be gotten from sin and cos.

Binary search: if distance < 2R the circles are too big otherwise they are too small.

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6 years ago, # |

← Rev. 3 →

Please tell me how to debug intractive problem or what is pretets 2 for D. Idea for D: Place king in 500,500. Divide chessboard in 4 pieces. Each piece has one corner as king position and one corner as chessboard corner. Find which of this 4 pieces has smallest number of rooks. Go to opposite corner with king moving only diagonally. Convince yourself it always works.

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gen

6 years ago, # ^ |

+19

This is correct and actually needs at most 1000, not 2000 steps! Really cool problem.

I debugged on 9 x 9 grid with 6 pieces.

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sniffleheim

6 years ago, # ^ |

Unfortunately, one must check that the king doesn't move to a space already occupied by a rook (which I failed to do). This is probably where the factor of two comes from.

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gen

6 years ago, # ^ |

If we try to move to a cell with a rook, it means we are trying to move diagonally! Otherwise the king was already hit. Therefore, we can just move either horizontally or vertically to a cell adjacent to this rook. And then we are hit and the game ends. So the number of moves will really be at most 1000.

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6 years ago, # ^ |

I did it as well. Can anyone take a look and tell me what is wrong with this? Even passed pre1. 48356184

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6 years ago, # ^ |

I did the same with WA6. I think what matters is how you get to the corner. You have to try to move diagonally as much as possible. After considering this, got AC!

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6 years ago, # ^ |

Thanks for reply but, already found mistake it was checking if(x!=500 and y!=500) instead of (x!=500 or y!=500) ;)

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kayak

6 years ago, # |

← Rev. 2 →

I'm surely misinterpreting the problem/making some really silly mistake, but I think the king can't guarantee having a check ?

Define S_i to be the configuration where the black rooks are at the cells {(1, 1), (1, 2), ..., (1, i - 1), (1, i + 334), (1, i + 335), ..., (1, 999)}. Initially start with S₁ and the white king at (1, 1). Now at some step, if the king's x coordinate changes from x to y (with |x - y| ≤ 1) then it's easy to see we can move some rook so that the rooks configuration become $\text{[math]}$ , so the king can never guarantee a check ?

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gen

6 years ago, # ^ |

But in your example all the pieces share the row, so the king is already hit by all the rooks.

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kayak

6 years ago, # ^ |

Ooops thanks, it was embrassing.

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vivek_shah

6 years ago, # |

← Rev. 3 →

Just curious to know, why does this submission on problem B doesn't get runttime error when he declares array of size exactly 100000.
My hack test

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6 years ago, # ^ |

Why would it get runtime error? n, m <= 100000 so it seems fine.

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vivek_shah

6 years ago, # ^ |

← Rev. 2 →

array size has been declared as 100000. hence, array element range is between 0-99999. but he does arr[aa]++;
hence it should get runtime when aa = 100000. Sorry, correct me if I am wrong.

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6 years ago, # ^ |

Ah, so he is accessing an element outside of the array. If he'd used std::vector instead of a plain array he would have gotten a Runtime Error. However, since he's using a plain array, his solution is doing undefined behaviour, which is bad, but most often it won't be a problem because he's accessing memory right next to the array.

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TheStory

6 years ago, # ^ |

When you declare an array.Usually you will get an array a little bigger than you declare.That works in most computers.Include my computer,Codeforces computer and our school computer.And even a[-1] won't get Runtime Error in some computers.

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6 years ago, # |

OMG! I had a clean solution for D, but didn't consider the case of eating a rook. Didn't look at the CF error message :(( It was saying king ate rook

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Kemal

6 years ago, # |

← Rev. 2 →

+76

Trash contest...
1500 point problem solved by 3.5k and D problem solved by only 125 people. Also E problem is just classic know problem added binary search(here is the solution). I think F also range version of the XOR max problem(here is solution).
If you want to do such contest, better to not do. Educational Rounds much better than this kind of contests...

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6 years ago, # ^ |

Problem D was not actually that difficult. The entire contest was consistently simple IMO, which is fair.

I do agree that this contest is more like an Educational round, tho. Because it's very easy to google solutions to some problems.

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Adhami

6 years ago, # |

+10

I do not want to judge you strictly. But What the hell.

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mohamedeltair

6 years ago, # |

+40

I understand that it is not easy to make a well balanced contest, but the big jumps in difficulty of problems are really obvious in most of recent codeforces contests.

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pantho

6 years ago, # |

how to solve B?? Can anyone please explain??

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6 years ago, # ^ |

I got pretest pass by maintaining a set {1...N} and erase element x when I see x. If I saw x after I erased it, store that information. When set is empty, re-construct the set, without the elements I stored information about before.

For example, 3 9 1 1 2 3 3 3 2 1 3

Set : 1 2 3 (initial)-> 2 3 -> 2 3, (1 seen once more) , 3 (1 seen once more) -> X (first Round), Reconstruct only 2, 3 -> 2 -> 2, (3 seen once more) .....

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Dontdoprepaitisatrap

6 years ago, # ^ |

maybe you will get TLE set is too slow gratus907

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6 years ago, # ^ |

Isn't set insert and erase both O(log n) operation?

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NothingToShow

6 years ago, # ^ |

It was clear that whenever i get all type of elements atleast multiple of n times then i can create a contest. What I did was maintained a frequency array freq for each type of element. As soon as i get element of type X i increased it's frequency say new frequency is z. Also i maintained an array for keeping count of how many elements i have of particular frequency z. If i have n such elements that means i can create a contest so i incremented answer by one.

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6 years ago, # |

← Rev. 2 →

Is it possible to hack someone's solution after the contest? Or how can I practice hacking (besides educational rounds)?

recurze, your B solution will probably run out of time on a test like:

100000 100000
1 2 3 4 ... 99999 1

I tried to hack it during the last 2 minutes of the contest but forgot to put an endl after the 1st line, so it wasn't accepted.

My the very first hack :D

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recurze

6 years ago, # ^ |

I was more concerned about the inner loop but figured it'll only run (m/n) * n times so all good but didn't realize the if condition would run O(n). I tried to port my old solution using sets to using frequency array and didn't think much.

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6 years ago, # ^ |

← Rev. 2 →

My own solution got TLE on test 41, lmao.

I guess, using std::set was the best thing to do.

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recurze

6 years ago, # ^ |

Any structure with support for key-value pair (i, frequency[i]) would do the trick I suppose.

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saint_coder

6 years ago, # |

+13

Codeforces turning into Codechef :P

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APwhitehat

6 years ago, # |

How to solve E?

Here's my idea: Run a DFS from any node, let onstack[i] denote if the ith node is currently being processed, also intime[i] denote the scan time of ith node(similar to topological sort algo). Now maintain a segtree for onstack nodes only, and use RMQ query where index is the intime of nodes. Whenever we find a backedge we calculate the minimum weight edge in the cycle using the segtree. Is this idea correct? Is there an easier way?

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6 years ago, # ^ |

+25

I'm not sure if this is easier, but this was my solution.

Task E Statement:

Given a weighted directed graph, convert it into a DAG by reversing edges. You have to minimize the maximum weight of the edges that you reverse.

If the given graph G = (V, E) is already a DAG, then the answer is 0.

Let us choose a value k arbitarily. Let us call an edge heavy if it's weight is greater than k, else it is light.

$\text{[math]}$ $\text{[math]}$

If G_heavy = (V, E_heavy) forms a DAG, then we can find a topological sorting of V in G_heavy. We can then arrange edges in E_light to be consistent with the topological sort.

We can find the minimum value of k so that G_heavy doesn't have cycles using binary search.

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decrypto96

6 years ago, # ^ |

Are you reversing the direction of all the light edges? If so, then there might be a case where the original direction of a light edge might be a part of one cycle and after reversing it, it becomes part of other cycle.

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6 years ago, # ^ |

← Rev. 2 →

No, not all the light edges. We find a topological sort of G_heavy. Then we can ensure that all the light edges are oriented so that they are consistent with that order.

We will only reverse those edges that are inconsistent with the order.

This is my submission, but I'm not sure how readable it is. I don't use the terms heavy and light in the code. It also hasn't passed system tests yet.

48354300

EDIT: Passed system tests.

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Killever

6 years ago, # ^ |

← Rev. 3 →

what if the selected edges created 2 graphs, now we have 2 topological sorts what if we need to connect node from the first graph to another node from the second graph. example

graph 1 with the visiting order
A->B->C->D
4  3  2  1
graph 2 with the visiting order
E->F->G->H
8  7  6  5

now we need to connect nodes (D, E) but order[D]<order[E] so we reverse it and we add it to the answer, but if we didn't reverse it the graph is still DAG. how we handle this case, it seems I'm missing something.

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6 years ago, # ^ |

what if the selected edges created 2 graphs

You mean a disjoint DAG? That's a DAG as well, and it has a topological sort as well.

In your example, there are many valid topological orders. Let us choose any one, say "EFGHABCD".

If we have edge between D to E, then we must have the direction as E--->D (because that is what the topological order tell us).

If the given edge is D--->E, then we will reverse it, else we won't.

Hope it is clear now.

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Killever

6 years ago, # ^ |

Thanks for your respond, yea I understand that. but my question is, In the example, we can generate 2 topological sort

ABCD->EFGH and EFGH->ABCD

let's say we have edge E->D if we selected the first topological sort then we need to reverse the edge if we selected the second topological sort then we don't need to reverse the edge. so I see that selecting the topological sort actually affect the results, but it's not clear for me why selecting arbitrary topological sort is ok, did you got what I mean?! :D

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6 years ago, # ^ |

I think I understand your question.

The observation is correct that choosing a specific topological sort affects the final resulting Graph (after reversing edges).

The claim is that we could use any of it. But once we choose a topological sort, we can't change that.

I think the best way for you to get this intuition but by generating examples.

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amr0

6 years ago, # ^ |

Sorry if this is obvious but how is minimizing the maximum weight of reversed edges the same as minimizing the sum of the weights of the edges we reverse.

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6 years ago, # ^ |

← Rev. 2 →

We aren't minimizing the sum.

the same as minimizing the sum of the weights of the edges we reverse.

I can't find this quote in my comment.

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overhyped

6 years ago, # |

-20

Trash. Again.

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trickster78

6 years ago, # ^ |

It's den2204's first time creating a contest. Cut him some slack!

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6 years ago, # |

← Rev. 3 →

Pretests of E are weak. I did not get TLE for the following DFS routine:

void dfs(int u) {
  visited[u] = 1;
  for (int v : g[u]) {
    if (visited[v] == 1) { // cycle and hence do not continue }
    dfs(v); // missing visited[v] == 2 check
  }
  visited[u] = 2;
}

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sevlll777

6 years ago, # |

Good round! Thanks for problem D!

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starboy_jb

6 years ago, # |

+114

contestant.

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265918

6 years ago, # ^ |

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6 years ago, # |

If I submitted two solution for same problem and both are right then which will be judged first or second one?

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starboy_jb

6 years ago, # ^ |

second. first will be skipped.

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6 years ago, # ^ |

I think only the last solution you've submitted that passes the pretests will be taken into account.

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Mistra

6 years ago, # ^ |

The last solution that passed pretests will be judged.

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HalfFragment

6 years ago, # ^ |

second, you got skipped verdict on first

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6 years ago, # |

+31

Yeah yeah contest was slightly unbalanced but I still think it was a good contest, especially if it's his first one. Tbh we've seen much worse here and I actually hope that den2204 will be the problemsetter for some later contests too. I mean, problemsetters also have to learn how to do it properly and I believe this contest was actually pretty good for his first one. Gratz man !

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FuyuMai12

6 years ago, # |

I'm so regretful to spend 14 minutes to think for a solution in C.

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6 years ago, # ^ |

Worse. I spend around 15 min think that error between 1.0000000 and 0.9999999 is greater than 1e-6. I have to actually put these values in formula to check the error.

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6 years ago, # ^ |

You don't have to set constant value PI that much long

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FuyuMai12

6 years ago, # ^ |

Well, I took it from my partner's template. Still I have a few things in my life that requires such a number.

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6 years ago, # ^ |

hmmmm...

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berserker

6 years ago, # ^ |

+21

If you don't know that already you can also use

const double PI = acos(-1);

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6 years ago, # ^ |

That's amazing!!!

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Ahmed-

6 years ago, # ^ |

Better than spending 19 minutes using tan instead of sin and don't know what's wrong :\

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6 years ago, # ^ |

I somehow made the same mistake lol

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do_good_

6 years ago, # ^ |

which ide u used

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FuyuMai12

6 years ago, # ^ |

I work with Kate text editor and Terminal.

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antontrygubO_o

6 years ago, # |

+113

Solution for D (if anyone is interested)

Move the king to cell (500, 500) in less than 1000 moves. Now board is divided into 4 squares by king's column and row. At least one of these squares contains no more than 166 cells. Then move king to the corner opposite to that square by diagonal. We will get to the corner in 499 moves, but the other player will have to move all >=(666-166)=500 rooks to avoid checks. So he will not have enough moves to avoid checks.

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6 years ago, # ^ |

thought I was close to getting it during the contest but your solution seems much simpler than mine :()

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mouse_wireless

6 years ago, # ^ |

Oh... you can move diagonally...

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linkret

6 years ago, # ^ |

+31

I don't like these type of tasks, where every number needs to be so precise.

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nskybytskyi

6 years ago, # ^ |

← Rev. 2 →

-7

In fact, it is possible to solve this problem in 998 steps with efficient implementation using the same logic, hence the number of moves is not as precise as you think.

Moreover, 166 is not just an arbitrary number, it is rather an integer part of 666/4. Therefore you could have write 666/4 everywhere instead of 166 and get the same result without having to care about all the precise numbers.

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6 years ago, # ^ |

+10

If n = num_rooks and m = board_size (m is odd), then the condition for this to be a winning strategy was that

$\text{[math]}$

In the current example, it boiled down to $500 > 499$, which is just enough for this equality to hold. This is what he means by too precise.

But almost all pigeonhole problems seem to have this property of just managing to work. So, I really enjoying this problem despite not being able to solve this.

Open Question: Is there any winning strategy if this inequality doesn't hold?

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linkret

6 years ago, # ^ |

← Rev. 2 →

Maybe you could generalize it, by checking the "quadrants" of every single position, not just the center. And then choose the closest one, instead of the center.

To me this looks like it's optimal, but still doesn't always win.

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Rinne

6 years ago, # |

vjudge88's solution for problem F is a naive copy of https://blog.csdn.net/ShadyPi/article/details/79939990

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6 years ago, # |

-11

Is there no hacking for this contest? I want to hack!!

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lunga

6 years ago, # |

How much time after the contest can we submit solutions again?

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AmanGupta_

6 years ago, # ^ |

After system testing completed

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Determination

6 years ago, # |

Anybody came up with a good solution for E ?

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linkret

6 years ago, # ^ |

Binary search the answer, then check if there exist a cycle with all costs > mid?

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Miraak

6 years ago, # ^ |

← Rev. 2 →

Let's solve it with a binary search. We want to check that the answer is at least k. Let's remove all edges with weight less than k (we can choose any direction on this edges). Notice that if our graph contains any cycles then the answer is more than k, otherwise the answer isn't greater than k.

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raidencode

6 years ago, # ^ |

and how restore answer? if we change all edges with cost lower or equal to k its not create another cycle?

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Miraak

6 years ago, # ^ |

We know that there are no cycles, so we can find a topological ordering. After that we can direct our edges, which were removed, the right way

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Siriuslight

6 years ago, # ^ |

Can you please explain the use of topological ordering in more detail.

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Miraak

6 years ago, # ^ |

If we rearrange our vertexes in topological order then every edge will be directed from left to right. Some edges before removal were directed from left to right, we won't change their direction, but if an edge was directed from right to left we'll change its direction.

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6 years ago, # |

Honestly, task C is nothing to do with coding competition. Very hard to understand problem statements.

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6 years ago, # ^ |

-11

Devic, Can I know why?

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SIUUUUUUU

6 years ago, # ^ |

Yes, you can.

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6 years ago, # ^ |

-11

Oh, thank you

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6 years ago, # ^ |

Not only because it can be googled. It's a pure geometric task which takes one line to solve in terms of code. There is no place for optimization, algorithmization, choosing the right data structure and so on.

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6 years ago, # ^ |

I thought the same thing.

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6 years ago, # ^ |

Basically it is more like D, E, F is too hard for most of Div.2 coders (including me. I ran into E for 80 min and I couldn't solve it). For them(from submission record, I think this includes both you and me), only meaningful problem was A, B, and C and one of them (C) were something like an basic geometric question for mathematics textbook or so. I agree with you — many people could write less than 5 lines to get it write after working on paper, especially when you write in python and don't really care about real number precision stuff. I think it would have been nicer if D was easier, so that more people could actually enjoy programming more.

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Odin-

6 years ago, # |

-21

It was impossible to hack! pretests are stronger than they suppose to be!

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AliShahali1382

6 years ago, # |

-6

system testing started yes!!!

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6 years ago, # ^ |

Yes!!!

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6 years ago, # |

Problem D can be solved without being able to move the king diagonally.

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6 years ago, # ^ |

← Rev. 2 →

Works up until test #6 :)

Sorry this is not quite right. You have to move diagonally to the corner from the center. If you can't move diagonally, then you take one step either vertically or horizontally and terminate.

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6 years ago, # |

I got TLE on problem B :https://mirror.codeforces.com/contest/1100/submission/48351000

How do I speed this up?

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antontrygubO_o

6 years ago, # ^ |

Sorry, you just have wrong approach... Your works in O(nm) only

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6 years ago, # ^ |

← Rev. 2 →

Thanks. I will try to get a better approach. Also, can you point out which part of the approach is wrong?

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6 years ago, # ^ |

You seem checking every time if he can make contest. This is waste of information. Think about the case, when he knows that he needs 1, 2, 3, 4, 5 and he got 4. He don't have to re-check everything again. Right after seeing 4, it is already known that 1, 2, 3, 5 is missing without checking again.

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6 years ago, # ^ |

Hi. I have modified the solution a little bit : https://mirror.codeforces.com/contest/1100/submission/48360651

Now getting a Runtime error. How do I test this?

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6 years ago, # ^ |

Not quite sure because I'm not currently able to run or read carefully on your solution. Though I suppose the problem is that your vector val and group is both size m+1. Shouldn't one of them be size of n+1? Seems index out of range is being accessed.

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6 years ago, # ^ |

← Rev. 2 →

Goddammit! Thanks. Got it. I guess this is why people allocate an array of size 10e5 and keep iterating over the fixed range. Miles to go.

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6 years ago, # ^ |

Glad you like it :)

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Mohammad.H915

6 years ago, # |

-8

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SamuraiBebop

6 years ago, # |

+52

D is a very nice problem. Thanks.

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_overrated_

6 years ago, # |

Pretest for E wast too weak

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_overrated_

6 years ago, # |

-32

The worst contest in my life

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caa_tomsk

6 years ago, # |

For problem D got WA on test 40. Is there any way to know what that test was? Here is my submission.

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6 years ago, # ^ |

I have the same problem as you. Has there been some modifications on codeforces which don't let you see the test you got wrong answer on ?

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caa_tomsk

6 years ago, # ^ |

One difficulty is that this problem is interactive, so the input kind of depends on what you program prints. So you would need initial positions + the algorithm that moves the rooks.

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caa_tomsk

6 years ago, # ^ |

← Rev. 2 →

Never mind, I found my bug: I have

while (kx != 500 && ky != 500)

but it should be

while (kx != 500 || ky != 500)

Argh!

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6 years ago, # |

-11

Even the system tests are weak for E. (Attaching previous comment below)

Pretests of E are weak. I did not get TLE for the following DFS routine:

void dfs(int u) {
  visited[u] = 1;
  for (int v : g[u]) {
    if (visited[v] == 1) { // cycle and hence do not continue }
    dfs(v); // missing visited[v] == 2 check
  }
  visited[u] = 2;
}

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r_pi

6 years ago, # |

+10

Good contest , just +1 shift was needed i.e D = E , E = F, questions were very good ! den2204

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Adibov

6 years ago, # |

Now i have to wait 9 days for comeback (-_-)

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_overrated_

6 years ago, # |

+25

My friend GreenGrape should teach den2204 how to prepare the pretests. Dear den2204, can you imagine that someone can use map to store the edges and write in the statement, that there are can be absolutely same edges, or at least include it in the pretests.

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Koschei

6 years ago, # ^ |

+17

I agree, my solution failed exactly because of this issue, which is a shame because the problem was pretty nice. :/

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im0qianqian

6 years ago, # |

← Rev. 3 →

Excuse me, I used C++17 to submit my solution during the competition, but I got Wrong answer. After I tried to use C++11 and C++14, I got Runtime error, so I want to ask this. Why? (My solution involves dividing by zero error)

int vx = (tx - x) / abs(tx - x);
int vy = (ty - y) / abs(ty - y);

C++11 Runtime error on test 6: 48359273

C++14 Runtime error on test 6: 48359354

C++17 Wrong answer on test 6: 48360585

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juanigsrz

6 years ago, # ^ |

+28

Division by zero is undefined behavior in C++

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im0qianqian

6 years ago, # ^ |

← Rev. 2 →

That is to say, the error of dividing by zero in Online Judge may get uncertain results. Is that true? I always thought that if the pointer is out of bounds or divided by zero, it will return Runtime error, thank you.

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juanigsrz

6 years ago, # ^ |

Indeed, undefined behavior means at that point the program could do anything completely unexpected (i.e., "undefined"), and it usually varies depending on the computer and the compiler it's being ran on. So it doesn't make much sense to analyze WA, RE, TLE or whatever veredict whenever you're doing undefined operations. Another common one: accessing an array over its defined bounds.

Sometimes it might be Runtime Error because that sector of memory doesn't belong to you, sometimes it actually does and it's initialized with zeros, some others it belongs to you as well but it hasn't been initialized at all (contains a random value). All of these three cases could happen running exactly the same code.

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im0qianqian

6 years ago, # ^ |

Thank you for your help. I'll be more careful in programming and make fewer similar mistakes in the future. Another point is that I may not choose to use C++17 to submit the solution in the future. QAQ

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6 years ago, # |

How to solve E if to reverse each edge different controllers are used i.e. minimize the sum of cost all edges we have to reverse?

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6 years ago, # ^ |

If we can solve this then same procedure can be used to solve it for directed graph with weights 1. The latter problem is minimum feedback arc set problem. This problem is known to be NP-hard.

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tusg25

6 years ago, # ^ |

I misread the problem during the contest but I think the problem might be reduced to minimum cost Hamilton path and thus NP complete(I don’t have a proof though).

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Siriuslight

6 years ago, # ^ |

Same thing happened with me also. I thought different controllers are required for different edges. :(

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AwakeAnay

6 years ago, # |

+36

Here's my idea with proof for D: Greedy: Take the king to the centre. Then consider the number of rooks in each of the 4 squares formed by lines passing through the king. Look at the square with least amount of rooks. Walk the opposite way.

Proof: From the center, you can reach each corner in less than 500 moves. The square with least rooks must have number of rooks <= 666/4 by pigeon hole principle. So, there are atleast 500 rooks in the other 3 squares, combined. Now, Dasha has to move >= 500 rooks within < 500 moves, which is not possible. Hence, we are done.

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6 years ago, # ^ |

Ah, so that's why those numbers were chosen. Very nice.

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doped.silicon

6 years ago, # |

← Rev. 2 →

DELETED

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SAeed

6 years ago, # |

I have a general question that is kind of related to this contest.

In today's contest there was a solution in my room that solved Problem B using brute force solution with complexity O(n²). The solution was supposed to give TLE on a test that has (n = m = 10⁵) and all the numbers appearing starting from 1 and ending with 10⁵.

I wasn't able to hack this solution due to test case size which was about 512 KB, while codeforces seems to have the upper limit for a test case on hacking set to about 265 KB. Is there a reason for this low limit? Shouldn't it be a little higher? Specially since lately most problems seem to have bounds about 2.10⁵ rather than 10⁵ like before, wouldn't this limit make it harder to hack solutions that fail due to TLE on large test cases?

MikeMirzayanov, perhaps you could kindly provide an answer?

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Datenshi

6 years ago, # ^ |

For hacks with test case size greater than the limit you can send the generator for your hack.

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SAeed

6 years ago, # ^ |

You mean sending the generator code rather than the test case itself?

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Datenshi

6 years ago, # ^ |

+26

Yeah, you can send the generator code instead

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lohit_97

6 years ago, # ^ |

Aha! I asked a similar question to the authors during the contest and they replied "No Comments" to it. :(

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6 years ago, # |

+37

It's a shame C and E were well known. I liked those problems. (and I didn't know them, so I couldn't figure out E in time 0w0)

But nevertheless I think it is a good contest! Good job den2204

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6 years ago, # ^ |

E well known.where? how to solve e

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6 years ago, # ^ |

Binary search on the operators and then do this

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6 years ago, # ^ |

← Rev. 2 →

but the above link describes the way in which we have to add edges , how can it be applied here

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6 years ago, # ^ |

Imagine you want to check whether you can make the graph with C amount of operators.

Well notice that every edge > C is fixed and every edge <= C can be adjusted to fit the resulting graph.

If you can make a graph of edges with edge.c > C and find a topological sorting of the graph, then C works because you can adjust the other edges to fit the graph.

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6 years ago, # ^ |

ok , so suppose we choose the best k .

then how to proceed further using topolozical sorting , how to revert edges so that graph becomes acyclic , since no. of reversions need not be minimum , so we can choose any edge .

but how ?

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6 years ago, # ^ |

let us say we have the topological sort (I would suggest bfs based): {a,b,c,d,e}

And then we have this edge (b,d). We would not reverse that.

But we have another edge (c,a). It violates our toposort, so we would reverse that.

As for implementation you can store the positions of every element in the topological sort.

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SPatrik

6 years ago, # |

← Rev. 3 →

-68

Problem D. Correct submission: 48360170 My contest submission: 48346037 This 1 character cost me 150 rating points (-65 instead of about +90). The worst part in it, that it passed pretests when it is wrong 1 out of 4 times. This should have failed on pretests. But now I am in the same position as people who couldn't solve D. I know that I made a terrible mistake with that x instead of y, but I still have the question: Why does Codfeforces judging system is so unfair? EVERYONE who gets wrong answer on pretest have the chance to correct it, while EVERYONE who passed pretests with a wrong submission will lose ALL of the points for that problem. This is just a game of luck. In My opinion there would be 2 fair way to judge with a similar system. A: There are no pretests, only maintests. That would be much harder to make a good solution, but it would be fair. B: pretests=maintests. This would make a little easier to make a good solution, and it would be fair as well.

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TadijaSebez

6 years ago, # |

My wrong submission for D that I skipped during the competition passed system test. Paradoxically I would be first if I didn't come up with correct solution.

Wrong submission: https://mirror.codeforces.com/contest/1100/submission/48362464

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Farabi

6 years ago, # |

-19

I can only handle A,B,C after contest.Bt during contest time I was a great looser

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meaningIess

6 years ago, # |

There is a problem that harder than F and I revise it wrong :( Actually if I make the array in size 1e6 then I can get Happy New Year :(

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WA_A_PLAYER

6 years ago, # |

I wanna ask sth about E, i use the dfn[], get the time when i into a node, but others get the time they leave the node, as a result i get WA, i hope someone can explain it. Thank you so much.

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WA_A_PLAYER

6 years ago, # ^ |

i use dfs to solve,bfs get in or out can solve it,so i wanna konw why use dfs to get the into time cannot solve it

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djq_cpp

6 years ago, # |

I know it's an accident but problem F really coincides with a problem in a training contest proposed by whzzt called "异或"(XOR, in English).

In that problem, you will be given a sequence of n integers a[] and m queries {li, ri, di}. For each query, you need to choose a subset of a[li, ri], compute the XOR-sum of all numbers in this subset and XOR the result by di so that the final result is maximized. You need to output the final result. Constraints: n, m <= 10^6 and 0 <= ai, di < 2^30.

Anyway, D is awesome.

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MagicSpark

6 years ago, # ^ |

https://blog.csdn.net/ShadyPi/article/details/79939990 This is the article

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lychao

6 years ago, # |

In problem E, is there someone like me that easily get a binary search and Topological sorting solution to the answer of worker but failed on the construction of answer of edge?

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Prakash11

6 years ago, # |

← Rev. 3 →

Problem A

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6 years ago, # |

How to solve e. my idea was do a dfs from a certain node. keep trace of the minimum weight . if a cycle is formed. we will reverse the edge with minimum weight and then again start dfs from the reversed node.

will it work?

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berserker

6 years ago, # ^ |

No because reversing the minimum weighted edge doesn't work because reversing the wrong edge might create a new cycle for which reversing cost can be much higher.

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kissu_pari_na

6 years ago, # |

← Rev. 3 →

+14

I think there is a critical test case which was not given in the dataset of problem C. I found a user’s two accepted solution with different output. If I am not wrong then some user may not be able to pass the dataset if this test case is valid. I am giving the test case and the two solutions link below-
Test case: 3 100
First accepted solution
Output of first solution: 646.4101614984
Second accepted solution
Output for second solution: 499.9999999418
Please check den2204

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MikeMirzayanov

6 years ago, # ^ |

+17

Thanks, added the test into testset for practice. Also I wrote to the writer about it.

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1910903

6 years ago, # |

Our coach 2778 (rank 448) Rating +24 1876->1900 became Candidate Master ???

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6 years ago, # |

-31

Regarding tasks A-D:

A — easy, but you have to state in bold, that i can be any number. Because usually, it is 0/positive.

B — ok, but usually the number of problems would be described as n and would go first.

C — this task is the worst. As I stated in my older comment, it's pure geometry task which takes one line to resolve. There is no algorithm, no space for optimization, just geometry. I believe, that some people just googled it and I'm mad at myself, that I haven't done it also and spent the time to solve this task.

D — OK

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6 years ago, # ^ |

← Rev. 2 →

+21

I think you did the right thing.

I could have searched up both C and E and instantly solved them. But I didn't. I don't think you should be mad for putting an earnest effort in a contest; looking for solutions on google will never help you develop problem-solving skills. The people who just googled it are doing themselves a disservice, and I question why they even do codeforces.

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6 years ago, # ^ |

-17

Yeah. I wouldn't google E or any coding task during the contest. But solving C didn't help me in terms of my coding problem-solving skills. The problem is interesting because you need to see, that if you connect centers of external circles, you've got regular polygon. But it's nothing to do with programming(((. Maybe I'm more disappointed, that I've spent time on this task instead of solving D faster.

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minibowser

6 years ago, # ^ |

+30

Many hard CP problems are based entirely on observations instead of hard algorithms. Programming is only one part of CP.

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6 years ago, # |

← Rev. 2 →

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Nightmare05

6 years ago, # |

Can someone please explain me how is Idleness limit calculated?

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Siriuslight

6 years ago, # |

+17

den2204 will there be an editorial?

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Kyochi

6 years ago, # |

← Rev. 2 →

Someone can explain me how to solve B with a time complexity of O(m) and not O(m*n) ?

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https://mirror.codeforces.com/contest/1100/submission/48354732

6 years ago, # ^ |

If you loop the O(m) elements and keep track of a frequency array you can realize at each point you can either

1) hit a contest — O(n) update

2) not hit a contest — O(1) update

Seems like O(n*m) right? Nope!

Observation: you can hit a new contest up to O(m/n) times. In total hitting a contest can only contribute (m/n)*(n) = O(m) to your complexity. So actually the overall complexity is O(m), regardless of n. This is the basic idea behind amortized analysis: looking at worst case of how much each operation contributes instead of the whole algorithm. It is very likely you already thought of this solution in contest!

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kushan02

6 years ago, # ^ |

Can you please explain more, how exactly can I identify these types of problems?

And if you don't mind can you explain why my solution gives a TLE, I thought of a very similar approach.

Thanks a lot for asking, I am just getting started with CP!

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6 years ago, # ^ |

Your code is O(nm) because your loop O(n) everytime you check a new element. You want to only loop O(n) when you hit a contest, which would make overall code O(m).

for (int i = 1; i <= n; ++i) {
    if (ar[i] == 0)
        return false;
}

Instead of this you want to keep track of "how many cnt[i] > 0" which can be done by updating every time you add or subtract.

My code

How to identify these problems?. Intuitively, you know you should analyze complexity more carefully when the algorithm does a heavy operation rarely. Here is works out nicely, because the O(n) update is infrequent enough so that it is linear overall.

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6 years ago, # |

-30

i am sorry if this comes across hateful, but this isn't an interdisciplinary contest. why did we get maths in this contest? i think there was a misunderstanding somewhere. can we get a rating compensation for this? doesn't seem fair ..

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6 years ago, # ^ |

-6

Geometry problems are not endemic to codeforces.

As a side note: The idea of certain math concepts as "unrelated" is actually harmful to your learning. I learned this the hard way.

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6 years ago, # ^ |

+21

Some math and geometry questions fall under the umbrella of competitive programming.

Notable math topics: Number Theory, Combinatorics, Probability.

Notable geometry algorithms: Convex Hull, Line Sweep.

These topics are well known, and a competitor shouldn't be surprised if they appear in a contest.

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6 years ago, # ^ |

-32

sorry but i can't understand this. what has math to do with programming? they are two completely different things. why mix them together?

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farmersrice

6 years ago, # ^ |

+10

CS is literally Math 2.0

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