AtCoder Beginner Contest 166 Announcement

5 years ago, # ^ |

-16

I think it's Div.3, because there are three kinds of regular contests: ABC, ARC, and AGC.

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aryanc403

5 years ago, # ^ |

+38

Still, ABCs are good enough for a guy with 0 ratings.

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manoj_269

5 years ago, # ^ |

Anyone give me a counter test case where my logic fails for F. I have done a greedy approach , where for each string , I will increase the one with min value and decrease the one with maximum in b/w those two variables and storing the values accordingly and then printing.

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spookywooky

5 years ago, # ^ |

+15

1 1 0 and AB. You need to know what comes next to make the right choice.

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manoj_269

5 years ago, # ^ |

yeah,thanks.got it!

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5 years ago, # ^ |

-17

I think F is easier than E. (I'm trying to solve F)

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5 years ago, # ^ |

I solved it! I made 1600 points!

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manoj_269

5 years ago, # ^ |

D was very interesting.

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prarabdhgupta

5 years ago, # ^ |

what's the solution for D??

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dbs_mnnit

5 years ago, # ^ |

If answer exist(for given x there always exist a pair (A,B)). It will be -1000<=A<=1000 and -1000<=B<=1000. use two loop

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____ALPHA____

5 years ago, # ^ |

why -1000 to 1000?

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dbs_mnnit

5 years ago, # ^ |

← Rev. 2 →

Actually I took -1000 to 1000 for safety. but u can see (100)^5>1e9. U can take -120 to 120 too. It will also pass

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5 years ago, # ^ |

May be not I tried

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5 years ago, # ^ |

say if the difference given to us comes at (1000)^5- (999)^5

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anshuman.singh

5 years ago, # ^ |

the number (1000)^5 — (999)^5 is greater than the possible range of values for x

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5 years ago, # ^ |

"B" in "ABC" stands for beginner.

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holoid456

5 years ago, # ^ |

-6

Even Div-3 contests in codeforces are also for beginners but they don't ask you to print the circumference of the circle with a given radius or swap 3 numbers.

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AM_I_Learning

5 years ago, # ^ |

or just print what is said! AGC AND ARC are good by the way

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PoustouFlan

5 years ago, # |

← Rev. 2 →

Why so much hate in this world cry

Get AC on A, B, C, D, E and WA only on the last of the 60 tests of the F...

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WorstCoder45

5 years ago, # |

+21

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towhid1zaman

5 years ago, # |

+26

How to solve F!

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iynaur87

5 years ago, # ^ |

Keep alive this round, try to alive next round(Be careful when there are two 1, and one 0).

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andr0901

5 years ago, # ^ |

Always increase a smaller variable and decrease a greater one in a pair, except for the one case: when two variables you need to change are $$$1, 1$$$ and the third one is $$$0$$$, in this situation you have to choose what variable to increase depending on the next request in order to avoid a case like where you have $$$2, 0, 0$$$ and the next request is $$$BC$$$.

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5 years ago, # ^ |

Here's my solution.

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trying_to_learn_coding

5 years ago, # |

How to solve problem E?

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aad3shk

5 years ago, # ^ |

← Rev. 4 →

You need to use the frequency map, In first loop perform f[ i — a[i] ]++, and in second loop perform count += f[ a[i] + i ]. that's it

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akSingh

5 years ago, # ^ |

← Rev. 2 →

For two attendees to pair i-j = hi + hj (Assume i>j) should hold where i and j are indices of the attendees. Move both the i terms on i side and j terms on the other then it reduces to i-hi = hj + j. Which is equivalent to finding number of comment elements in two arrays by making arrays for both i-hi and the other as hj+j.

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svaderia

5 years ago, # ^ |

← Rev. 3 →

E is pretty easy if you make the observation that for any j > i following condition has to holds, j — A[j] = A[i] + i. so keep a map to count the occurrence of A[i] + i observed till now. add the count of j — A[j] into the answer.

solution

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5 years ago, # ^ |

You need to find number of pair of indices such that |j-i| = A[i] + A[j] . Assume j > i, then, you need to check which (i,j) satisfy j — A[j] = i + A[i].

You can start iterating from left, keep a count of i+A[i] and for every new index j, do, ans+=count[j-A[j]]

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dush1729

5 years ago, # ^ |

← Rev. 2 →

We are considering j > i so we need to find all i and j such that

j - i = a[j] + a[i] which is a[j] - j = - a[i] - i

so for each j we need find count all of those whose value - a[i] - i is equal to a[j] -j. We can use a map to store values of - a[i] - i and add it to our answer in each step for value a[j] - j.

Code

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trying_to_learn_coding

5 years ago, # ^ |

got it.

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Imperial_Lord

5 years ago, # ^ |

Just use the fact that A[i]+A[j]=abs(i-j) expands to i-A[i]=A[j]+j (atleast in positive value of abs sign). For the other one it'll cover cases by symmetry. No compute the two arrays with entries i-A[i] and j+A[j], store the counts of elements in a frequency map and return the answer.

A simple solution is here

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asipu_pawan

5 years ago, # ^ |

An easy code to understand

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Trgt_2021_explosion

5 years ago, # |

why greedy for F fails? anyone Please?

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5 years ago, # ^ |

What do you do when both A and B are equal and next event is AB?

For example: A = 1, B = 1 and C = 0 and event is AB.

You need to check if next event is BC or AC and work accordingly. Can't just make anyone of it +1 and other -1.

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Trgt_2021_explosion

5 years ago, # ^ |

Yeah for this I did offline thing. At every stage I checked if both are equal then which is having more query remaining. So the one with higher no of query remaining I add to it(give it priority)

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pandastic

5 years ago, # ^ |

You should give priority to the next closest move, not to the most frequent among remaining. For example A = 1, B = 1, C = 0, and the sequence of moves is AB, AC, BC, BC, BC. On move AB you should add 1 to A, to make move AC possible, not to B, even though BC is more frequent.

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WYXkk

5 years ago, # |

this F is not very hard,i think,but has a number of details to deal with.

i finally got accepted after 5 tries with a loooooooooooooong code.

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5 years ago, # ^ |

I guess only 2 details to deal with no ? Check if one of them is 0 or both of them are 1. My code wasn't that long either : https://atcoder.jp/contests/abc166/submissions/12771073

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WYXkk

5 years ago, # ^ |

oh,maybe i did a lot more usless things.

you can see what i did here XD

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5 years ago, # ^ |

Well at least you got the AC haha it took me a while to think it through xD

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vineetjai

5 years ago, # ^ |

Can you share your detailed approach?

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https://atcoder.jp/contests/abc166/submissions/12781991

5 years ago, # ^ |

← Rev. 3 →

here

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mip182

5 years ago, # |

Got 457 lines of code in F)

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dush1729

5 years ago, # ^ |

+46

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shahil_005

5 years ago, # |

E anyone?

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AM_I_Learning

5 years ago, # ^ |

Start traversing a from back to front and at each i from $$$1$$$ to $$$N$$$ keep count of $$$i$$$-$$$Ai$$$ and check how many previous elements are there with current sum $$$i$$$+$$$Ai$$$.

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5 years ago, # ^ |

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5 years ago, # |

← Rev. 2 →

I had a lot of TLEs with my solutions for this contest. For example, here is my code for problem E (C++):

#include <iostream>
#include <cmath>
#include <vector>
#include <algorithm>

using namespace std;

int main(){
		int N, count=0;
		cin>>N;
		int att[N];
		
		for(int i=0; i<N; i++){
			cin>>att[i];
		}
		
		for(int i=0; i<N-1; i++){
			
			for(int j=i+1; j<N; j++){

				if(abs((i+1)-(j+1))==(att[i]+att[j])){
					count++;
				}
			}
		}
		
		cout<<count;
	}

I got AC for half of the test cases, and TLE for the other half. Can anyone tell me why?

Also, if someone can tell me what might generally be the case when AtCoder grading returns a TLE, please let me know. Thanks in advance!

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saksham9575

5 years ago, # ^ |

Your code has a complexity of O(N^2) and N is 1e5. So that is why you are getting TLE.

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pandastic

5 years ago, # ^ |

TLE = Time limit exceeded.

Checking every possible pair (complexity O(N^2)) is not efficient enough for such a big value of n as 2*10^5.

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ExplodingFreeze

5 years ago, # |

← Rev. 3 →

What is the approach for F?

I tried defining each of the 8 choice possibilities (For AB choose A first or B if both remain, similary for AC and BC) at the start and check if it works. Do you have to do something like this at each step and maintain an 8 * n DP or something like that?

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markeyyy

5 years ago, # ^ |

My solution was to choose such an option that I will survive current and also next round. If both choices are survivable then go greedy.

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wozszym

5 years ago, # ^ |

You could just run a DFS and check if you can reach a path of length n. Start with state a,b,c and then at each point proceed to a 2 posibble state given by choice[i].

Here is my submission: https://atcoder.jp/contests/abc166/submissions/12776155

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jiteshrao

5 years ago, # ^ |

isn't the complexity of your code 2^n?

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zii.hrs

5 years ago, # ^ |

Yes, it seems like an oversight that these solutions pass?

It even works in Python:

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anton_200

5 years ago, # ^ |

How is your code working but not this simple recursion? Aren't they of the same complexity https://atcoder.jp/contests/abc166/submissions/12784875

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5 years ago, # ^ |

It's because you're not passing references to your function, it creates a copy which take time for each call. you can find your accepted version here

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anton_200

5 years ago, # ^ |

Thanks a lot for helping! Learnt something new. Nice of you to help so many beginners in the comment section.

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5 years ago, # ^ |

We're all beginners in some way, glad I could be of help

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5 years ago, # ^ |

← Rev. 2 →

I tried with 27*n dp but it failed

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5 years ago, # ^ |

Any one passed using dp?

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Agnimandur

5 years ago, # ^ |

i did a 64*n dp which got AC.

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https://atcoder.jp/contests/abc166/submissions/12752950

5 years ago, # ^ |

can you share your approach. Also explain your dp states

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Mucosolvan

5 years ago, # ^ |

+11

I have similar (maybe even the same approach) — you can notice that we don't care what a value is if it's bigger than 3, so we can have states (position, a, b, c), and after each step a = min(a, 3) and so on. You have 64 * n states and two transitions from each state. Here's my code

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harshrajani460

5 years ago, # ^ |

we don't care what a value is if it's bigger than 3. I think we can make a=min(a,2), with 27*n states is also acceptable. my submission

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5 years ago, # ^ |

is keeping pre computed dp in your second recursive function also work?

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harshrajani460

5 years ago, # ^ |

I don't get it perfectly what you are asking, but second recursive function is for printing path, and yes precomputed dp works in that.

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5 years ago, # ^ |

← Rev. 2 →

Like this. https://atcoder.jp/contests/abc166/submissions/12803104

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harshrajani460

5 years ago, # ^ |

It works fine, I see your submission, In second recursive function when you are comparing (dp[in+1][a-1][qq][c]==1) here you have to add condition that a-1>=0 same in other 2 If statement also. corrected your submission

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5 years ago, # ^ |

thanks.

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yesnomaybe

5 years ago, # ^ |

Can you share your intuition behind why don't we care for values that are greater than 3 (or 2)?

Why just taking 3 would do? I understand by looking at examples but am not able to wrap my head around it. It would help if you could share your intuition perhaps.

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Mucosolvan

5 years ago, # ^ |

This whole idea came to me when I noticed that configuration "1 1 1" is always correct if we choose greedy approach (add 1 to smaller of two). That led me to conclusion, that if sum is bigger or equal to 3 (unless it's 3 0 0 and operation is BC) is always correct as well. Connect this with pretty natural DP solution and you get my solution. If you have more questions feel free to ask

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5 years ago, # ^ |

+15

Greedy approach can get AC, You only need to check a couple of things first :

If one of them is 0 you have to add it +1.
If both of them 1, you need to check which one comes next first, for example if the order is AB then BC ( A = 1, B = 1, C = 0 ) you have to add +1 to B otherwise you add it to the other.
If you're not in any of the other cases you can just add +1 to the minimum of them.
Keep checking if one of them is less than 0 return No

Solution : https://atcoder.jp/contests/abc166/submissions/12771073

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hitch

5 years ago, # ^ |

why does this work

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5 years ago, # ^ |

It can be easily shown if one value is greater than the other, it's safe to increase the min value. Our only concern is when both values are equal to 1, that way one of them will become a zero, we need to know which one to increase. The choice is based on which value will be used again first. Same example as the last comments : A = 1, B = 1 and C = 0 it will depend on the order.

Suppose the order is : AB then BC, if we increase A our solution will fail.
And if the order is : AB then AC then if we increase B our solution will fail too.

It is clear that we need to increment the value that comes next first in that case.

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hitch

5 years ago, # ^ |

got it, thanks a lot.

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Tathagat_shah

5 years ago, # ^ |

← Rev. 2 →

UPD : Deleted

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solvemproblr

5 years ago, # |

+24

For F I did complete search using recursion and it passed. Can anybody explain why?

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iynaur87

5 years ago, # ^ |

Maybe Highly optimized,choose the right answer first, so it succeed when first get into end state.

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Sakhiya07

5 years ago, # ^ |

Can you share your code?

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solvemproblr

5 years ago, # ^ |

here

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5 years ago, # ^ |

It all comes to when is the answer No : The only possibility it fails is if there are 3 zeros or 2 and a certain ordering to make it fail. That being said, The answer can be found fast enough for both cases.

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zeyad_alaa

5 years ago, # |

can someone help me in problem D ?

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Imperial_Lord

5 years ago, # ^ |

D is quite easy. You just need to use brute force and compute all fifth powers of numbers from -1000 to 1000, and then you can use an O(n^2) algorithm to see if x is equal to the difference of any two. Code

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zeyad_alaa

5 years ago, # ^ |

pff i feel so stupid !! thanks bro

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spookywooky

5 years ago, # ^ |

In my first atempt i used 100 instead of 1000, and it failed. But the 1000 was only a lucky guess.

How would we find the correct minimum number?

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_Enigma__

5 years ago, # ^ |

Find the smallest number x for which (x^5-(x-1)^5) > 1e9.

I think it comes around 120.

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lemongrab

5 years ago, # ^ |

I guess look at $$$b=a-1$$$ for boundary condition because that minimise $$$x$$$ for given $$$a$$$. I tried $$$100$$$ because I misread number of digits in $$$100^5-99^5$$$. Then I used $$$200$$$ and it passed.

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walleeva

5 years ago, # ^ |

for (i in range 0 -120 )
for (j in range -64 i-1)
if (i^5 -j^5==x) — done You can find detail here

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5 years ago, # ^ |

← Rev. 2 →

-6

I don't have a strong proof as to why will there always be a pair less than |a| , |b| <= 10^3 but had some intuitive feeling and it ACed

Code

int power(int x,int b){
    return x*x*x*x*x;
}
 
void solve()
{
    int x ;
    cin>>x;
    int a = 0, b = 0;
    for(int a=-1000;a<=1000;a++){
        for(int b = -1000; b <= 1000; b++){
            if(power(a,5) - power(b,5) == x){
                cout<<a<<" "<<b;
                return;
            }
        }
    }
}

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killpop

5 years ago, # ^ |

x^5 — (x-1)^5 is an increasing function for postive integers. The first time its value crosses 10^9 is when x is around 10^12.

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AM_I_Learning

5 years ago, # |

+16

English Editorail of F

Three Variables Game • When A + B + C = 0, N is 1 or more, so the answer is No. • When A + B + C = 1, at least one of the two variables is zero at any time, so the action on each turn is uniquely determined. • When A + B + C> = 2, the answer is No if the variables added and subtracted in the first turn are both zero, otherwise the answer is Yes. In the latter case, you can keep one of the variables being added positive by taking the following strategy each turn. {When one of the variables to add and subtract is zero and the other is positive, add one to the one that is zero and subtract one from the other. (A + B + C = 2, the variables to add and subtract are both 1, and when the character string of the next turn and the character string of the current turn are different, not the last turn, the character addition and subtraction of the next turn is performed. Add 1 to the variable you plan to do and subtract 1 from the other. {Otherwise, select appropriately

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bharatkumar

5 years ago, # |

What wrong in my code for the problem D

x=int(input())
value=0
index=0
hashmap=dict()
while value<int(1e9)+1:
    value=pow(index,5)
    hashmap[value]=index
    index+=1
#print(hashmap)    

for i in range(1,64):
    b1=x+int(pow(i,5))
    b2=x+int(pow(-i,5))
    if hashmap.get(b1)!=None:
        print(hashmap[b1],i)
        break
    if hashmap.get(abs(b2))!=None:
        print(hashmap[abs(b2)],-i)
        break

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Nson

5 years ago, # ^ |

Your limits are too small, you can subtract values so you may need values greater than 1e9. Your code with greater limits get AC. I don't know how to find the correct limits.

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gaurav1903

5 years ago, # |

the language of D and E was so clear still couldn't solve it, got WA on last test case of E and TLE on D. I like atcoder's format easy language difficult task .makes these problems more approachable. Thanks Atcoder

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Atish508

5 years ago, # |

Please help me with problem E and F

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pumpkin_dumplin

5 years ago, # ^ |

In E you can see a pattern emerge... Try to map the sum of the index of first element and height of the first element with:

The difference in the index of the second element and its height.

Store the sum of the index and height of first element in the map in one pass. In the second pass count how many occurrences of the index — height is present in the map. Be sure to take Long. I got WA due to that.. Here is my solution: https://atcoder.jp/contests/abc166/submissions/12778280

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Atish508

5 years ago, # ^ |

← Rev. 3 →

thank you! https://atcoder.jp/contests/abc166/submissions/12786984 solved it in 53 ms

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Agnimandur

5 years ago, # |

+17

Yay I full solved all 6 problems with 0 incorrect attempts!

Timing was slow though :(

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pumpkin_dumplin

5 years ago, # |

I thought the problem statement on B was not clearly defined. Otherwise, it was such a great contest! got WA on both D and E because I did not take long. Feel like killing myself :( Gonna upsolve F now.

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Agnimandur

5 years ago, # |

+12

I solved D by expressing A^5 — B^5 as (a − b)(a^4 + a^3*b + a^2*b^2 + a*b^3 + b^4).

At this point, I iterated over all possible divisors. Since a-b < (the term consisting of all positives), I only had to check the divisors less than sqrt(X). Then, once a-b was set, I binary searched to find the value of b (if any) to satisfy the expression.

My final runtime: optimized O(sqrt(X)*log(X))

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5 years ago, # ^ |

You can also check if A^5-B^5 equals to x for all a and b from -200 to 200. It's faster.

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5 years ago, # ^ |

It can be -120 to 120.

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noobieeee_

5 years ago, # ^ |

can you share your code

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Dorost

5 years ago, # ^ |

This code is easier
Code
just check from -1000 to +1000
because if a = 1001 the minimum positive result is b = -1000 and the result is 1.0004901e+20 and it's bigger than x

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5 years ago, # ^ |

It can be -120 to 120, 120^5-119^5=1,019,663,401, it's bigger than 1e9.

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lemongrab

5 years ago, # ^ |

Yeah I also did first part of your method, but I think it was overkill when I looked at $$$100^5-99^5$$$. So I wrote the easy brute force.

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saksham9575

5 years ago, # |

In codeforces https://codeforces.net/contest/1345/problems we get list of all problems, how to do the same in atcoder, like all the task they appear in the same page. If anyone knows please comment the link of that page where all task appear on one page.

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MuhammadAl-Halaby

5 years ago, # ^ |

You could use kenkoooo for that.

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saksham9575

5 years ago, # ^ |

Thanks it's an awesome site.
I too found the page where like all task of a particular contest appear —
https://atcoder.jp/contests/abc165/tasks_print
Format —
https://atcoder.jp/contests/"contest_name"/tasks_print

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MuhammadAl-Halaby

5 years ago, # ^ |

Oh, I got you wrong then :)

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rohit_goyal

5 years ago, # |

← Rev. 2 →

I overkilled F with dp, followed by 14-15 RTE's :(

PS: Atcoder could really work to differentiate between MLE and RTE.

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swapnil07

5 years ago, # ^ |

Here is my solution to problem F using DP.

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fdironia

5 years ago, # |

Solution in simple words:

A. Just check the input string.

B. Compute the food each person has. One can use a frequency array to do this.

C. Iterate through all paths. Each path makes one observatory non-peak (or two, if they have same height).

D. Since $$$a^5 - b^5 = X > 0$$$, we have $$$a > b$$$, that is $$$b \leq a - 1$$$. So $$$a^5 - (a - 1)^5 \geq a^5 - b^5 = X$$$. Obviously $$$f(x) = x^5 - (x - 1)^5$$$ is increasing when $$$x > 1$$$ and decreasing when $$$x < 0$$$, so we can find the upper and lower bound of $$$a$$$ from $$$X$$$. Simply enumerate all possible $$$a$$$'s and check if $$$a^5 - X$$$ is the fifth power of some integer. This can be done with precomputing all fifth powers in the potential range. In practice we can use a looser bound to estimate the range of $$$a$$$.

E. Consider the number of pairs $$$(i, j)$$$ satisfying $$$i < j$$$ and $$$A_i + A_j = j - i$$$. Fix $$$j$$$, the number of $$$i$$$'s pairing with $$$j$$$ satisfying $$$A_i + i = j - A_j$$$. Just iterate from left to right and keep the frequencies of all $$$A_i + i$$$.

F. In each operation we can greedily take $$$1$$$ from the greater number and add $$$1$$$ to the smaller one. The only exception is there being two $$$1$$$'s and one $$$0$$$ and we are going to operate on the $$$1$$$'s. We have to create another $$$0$$$ in this operation, so we need to consider the next operation in order to make it doable. The answer is No if any operation creates a negative number.

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5 years ago, # ^ |

https://atcoder.jp/contests/abc166/submissions/12803726 i am getting wrong ans on killer test 5 Can somebody help me out. It is for problem F atcoder 166

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anoubhav

5 years ago, # |

My python solution12793022

I am getting WA for one test case (killer_05.txt). Can somebody please tell me what am I missing? Thank you.

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5 years ago, # ^ |

same here

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