Codeforces Round 895 (Div. 3) Editorial
source link: https://codeforces.com/blog/entry/120165
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5 months ago, # | why are we taking ceil in problem A? |
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because if we take floor or don't take anything we will not be considering the residue.
Residue here means , for example taking a = 5, b = 18, c = 5. Therefore after the first pour we will have a = 10, b = 13, c = 5
Now the residue is 3lt but since c = 5 we cannot pour another full bucket of c thus we will be pouring the residue ( remaining 3lt with c ) thus we have to take ceil to consider this residue or rather we could say in a case where the final water transfer of quantity less than the value of c
I hope you understood it
5 months ago, # | Does anyone have a solution to problem E through a segment tree? |
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u can use simple prefix array method to find the xor of a segment theres no need of a segment tree here , ps u can see my solution .
5 months ago, # | Thanks for the fast Editorial. |
222359696 I had somewhat similar thinking process in D, however, my way of calculation led to imprecise numbers where there were lots of digits. But why exactly? Test 4 failed because there were differences in the 17th tenth lol. |
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In Python the
/
operator is float division, even if your result could be an integer, even something dumb like:>>> print('{:f}'.format(100000000000000000000000/1)) 99999999999999991611392.000000
When you do
int()
it's already too late! replace/
with//
, the integer division operator, in the score calculation in your solution, it makes your solution work.
5 months ago, # | For problem G, let's say we want to find under what conditions it is optimal take the product of a subarray . Suppose we have a prefix product equal to pp at index ii and we are considering joining this product to a >1>1 element at index j>ij>i to take the product. In the worst case, we have the array A=[p,1,...,1,2]A=[p,1,...,1,2] with n−2n−2 ones in between the first and last element. For the product to be optimal: 2∗p>p+(n−2)+2⇒p>n2∗p>p+(n−2)+2⇒p>n, so the total product (2∗p2∗p) must be strictly bigger than 2n2n as mentioned in the tutorial. |
For problem F, can someone please find the scenario where this submission is failing? 222376285 |
5 months ago, # | problem A ,why 2*c ? |
5 months ago, # | We can make the bound even better ( although not needed ) for problem G. We shall first exclude all prefix and suffix ones to get new array. If we include all elements of this new array , the answer is atleast P ( product of all elements ) — 2 * 10^5*10^9 ( here by answer I mean product(subarray(l,r)) — sum(subarray(l,r)) as we are maximizing it.). Which means it is atleast P — 2^48. Now any subarray other than this full array will have product at most P / 2. so answer for any subarray is atmost P / 2. Now , P — 2 ^ 48 >= P / 2 implies P >= 2 ^ 49. hence we can check if P >= 2 ^ 49 ( instead of 60 . ) |
5 months ago, # | Alternate thought process of Problem A: WLOG assume, a<b (otherwise swap a and b) let m = (a+b)/2, now we need to pour water from vessel B to vessel A such that both vessel contain 'm' unit of water. We can only think in terms of vessel B (vessel A will be automatically handled). So we need to transfer (b-m) water from vessel B (to vessel A). Each time we can pour almost 'c' unit. So ans = ceil ((b-m)/c) My submission:222221006 |
5 months ago, # | Silly me has written a lazy segment tree for E. |
5 months ago, # | problems were well balanced thank you for the contest |
B. The Corridor or There and Back Again As we are supposed to return to room number 1, for the following test case the correct answer should be k=2 and not k=1 test case: correct answer is k=2, 1st second : room 1 -> room 2 2nd second : room 2 -> room 1 as after 2 second the person is back to room 1, the maximum value should be k=2. |
I'm new to CP. I used codeforces for 10 days, a few months ago, to improve my implementation skills. But the thing is, I can't solve questions like C (the gcd one). Since I'm new to cp, I wouldn't mind if I can't solve the D or above problems. I really want to learn how to solve math problems. Like it's so hard. I feel like it's totally different from my college-level math. Though they are all very basic math problems, I can't solve them on codeforces or codechef. I try to solve a math problem (div2/3 A) but when I look at the editorial, it's just only an equation. Can anyone suggest some resources to learn how to solve these gcd, prime numbers, combinatorics, kind of math problems on codeforces?? I'm gonna take cp seriously from now. Thank you! |
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https://cses.fi/problemset/ may be a good place to practice basic problems.
5 months ago, # | Thanks for the tutorial. |
5 months ago, # | E task is 10 XOR out of 10 |
5 months ago, # | In problem A, How does adding {+ 2c — 1} in the nominator calculate floor value? |
5 months ago, # | 222445465 does anyone know why i am getting runtime error in this code? |
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You are trying to access
prep[1000000]
but it is out of bounds ofprep
.prep
has a size of1000000
, which means it has indices0
to999999
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still doesnt work. the thing thats weird is that, from testcase 1 to 7, it works perfectly well, but when it reaches 8, it stops working. what is this wizardry.
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Oh I think you meant to have 107107 instead of 106106 as the maximum size, since that's the maximum constraint.
So you need to change what I mentioned earlier and the size.
AC: 222452376
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Hello , please help In the tutorial for 1872C, Under point number 1 it is mentioned that we only need to calculate shortest composite number in the interval [r,l] but in the question we are asked to report two non coprime numbers that sum to a number(that turns out to be composite) in the interval [r,l] so once i have calculated the favourable composite number how to calculate the values of a and b ? thanks
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5 months ago, # | For G, there probably be a roughly prof: say we have a1(>1), 1, 1, 1,... (we have x ones), P1(products of remaining numbers), so if we left a1 the result will be a1 + x + P1, otherwise it's P1 * a1. Then a1+x+P1-P1*a1=(1-a1)*P1+a1+x, because P1 is large enough, and a1>1, a1+x+P1-P1*a1 will always < 0, so a1+x+P1 < P1*a1. |
5 months ago, # | Why is there inconsistency in the rating change mentioned in friends standing and the friends rating change? My rating change displayed in the last column of friends standing and in friends rating change are different. |
Interesting div.3 contest. |
How to solve problem E if instead of finding XOR of elements we had to find sum? How to solve F if an animal was afraid of more than one animal? |
5 months ago, # | 1599 is like a clown. Please, give me one extra point༼ つ ◕_◕ ༽つ. |
5 months ago, # | Wow, problem D has been explained amazing |
5 months ago, # | Problems were balanced. |
5 months ago, # | In the tutorial for 1872C, Under point number 1 it is mentioned that we only need to calculate shortest composite number in the interval [r,l] but in the question we are asked to report two non coprime numbers that sum to a number(that turns out to be composite) in the interval [r,l] so once i have calculated the favourable composite number how to calculate the values of a and b ? |
5 months ago, # | Is this arithmetic progression formula useful here? Sn = n/2((2 * a)+ (n — 1) * d) I got wrong answer on testcase 4 here is my submission: https://codeforces.com/contest/1872/submission/222426491 |
5 months ago, # | in problem D to get the purple indices . n=n/(x*y); can't we? |
5 months ago, # | I don't understand A. Why is it 2*c, why not c, 3c, 4c?? |
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We want a=ba=b, then let's say a<ba<b. So a+x=b−xa+x=b−x (take xx from bigger one to small one).
2x=b−a→x=b−a22x=b−a→x=b−a2.
Ok, in one operation you can only add cc to xx, then answer is ⌈xc⌉⌈xc⌉.
xx may not be an integer, so use this trick: ⌈xy⌉=⌈k⋅xk⋅y⌉⌈xy⌉=⌈k⋅xk⋅y⌉, answer is ⌈2x2c⌉⌈2x2c⌉ or ⌈4x4c⌉⌈4x4c⌉ or ⌈2n⋅x2n⋅c⌉⌈2n⋅x2n⋅c⌉.
5 months ago, # | Lovely F :)) |
5 months ago, # | Really good problems, thanks authors |
5 months ago, # | for problem E ,1e15 or 2^60 or 2^48 are very loose bounds .It seems to me that the solvers that passed the test cases didnot actually solve the problem.Nobody here has comeup with such bound .I actually want to understand the problem. |
5 months ago, # | There is another solution to problem F. I'm using the maximum spanning tree to find the maximum cost edges and after that, in that maximum spanning tree I use topological sorting to find which animal I can sell at first or which animal has minimal dependencies on other animals. Here is my code: 222724522 |
5 months ago, # | Can someone show how binary search can be used to find the solution for problem B? I'm quite new and haven't yet fully understood binary search and all its variants/applications. Many thanks in advance! |
5 months ago, # | Might not be the best one, but this is my solution to problem C. Basically I sieved and found all prime numbers up to |
5 months ago, # | whats wrong in my code for problem D ,in test case 3 it fails at one particular case . Can anyone tell whats the mistake ? https://codeforces.com/contest/1872/submission/223526983 |
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Use long long int for lcm In case both x and y are co-primes in lcm(x, y) then lcm will be x*y which can be greater than int.
Why is sample test 3 for problem F correct? Input Output With this output the money you get is 31, but if the output is: Other output The money is 32. What? |
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1 is afraid of 2
2 is afraid of 1
3, 4, 5 are afraid of 1Maximum cost will be 31:
For 4, cost will be 2*1 = 2 -> because 1 is still not sold
For 5, cost will be 2*1 = 2 -> because 1 is still not sold
For 1, cost will be 2*9 = 18 -> because 2 is still not sold
For 2, cost will be 1*8 = 8 -> because now 1 is sold and 2 is not afraid of any animal
For 3, cost will be 1*1 = 1 -> because now 1 is sold and 3 is not afraid of any animal
Total = 2 + 2 + 18 + 8 + 1 = 31
5 months ago, # | Can someone tell why in G, 2.n or 2^60 would be sufficient? |
4 months ago, # | Explanation for problem G: If we can brute force, we have to choose the indexes that are not 1 because taking from 1 doesn't make sense in multiplication. So we can choose all elements which are not 1 and check where the answer is maximum. The size of the array is 2*1e5 so by this we will have (2*1e5)^2 possibilities which is TLE. If the value of a multiplication increases by a certain value, it is OK to do multiplication of all the number from left to right(excluding leading and trailing 1). So what should the sum be to include all the numbers. Say we have a number 2 followed by 2*1e5 -2 1s and then some value x. If 2*x >= 2 + 2*1e5 -2 + x satisfies, we can always take the full segment. x comes out to be 2*1e5 and 2*x which is the multiplication comes out to be 4*1e5. So if the multiplication increases by 4*1e5 at any point then take all the elements. If all elements are only 2(not count 1) which is smallest which can help in sum then we need around 18 elements. So in the worst case we'll brute force over 18 elements or 18^2 segments to find answers for each segment and then take the maximum possible. |
Another approach for problem F. Find all the cycles. Then for each cycle, find the start of that cycle. Then after finding the start of that cycle, reconstruct the tree of nodes that comes up to this node of the cycle. Example: Image url for example: https://pasteboard.co/Ms35TBDxcrow.png Here I know that my cycle should that from 5 -> 6 -> 7. So before I take 5, I will reconstruct the entire node tree to 5. Which is 1 2 3 4 5 and similarly for each node in the cycle. I used Kosaraju's Algorithm and transpose of the graph to calculate my answer which is an overkill. |
why does my solution 227304800 of F work partially and in some case the answer is incorrect? |
5 weeks ago, # | why my code is giving wrong output? |
66 minutes ago, # | In problem F, the tutorial says "As each animal is feared by at least one other animal." But in the problem statement, it doesn't say this. It only says "Each animal is afraid of exactly one other animal." Therefore implying some animals may be feared by multiple animals, which would then contradict the tutorial's statement. Could you please clarify which is correct? |
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