### BledDest's blog

By BledDest, 3 years ago, translation, 1051A - Vasya And Password

Tutorial
Solution (Ajosteen)

1051B - Relatively Prime Pairs

Tutorial
Solution (PikMike)

1051C - Vasya and Multisets

Tutorial
Solution (Ajosteen)

1051D - Bicolorings

Tutorial
Solution (PikMike)

1051E - Vasya and Big Integers

Tutorial
Solution (Ajosteen)

1051F - The Shortest Statement

Tutorial
Solution (Ajosteen)

1051G - Distinctification

Tutorial
Solution (BledDest)  Comments (46)
 » It should be "If k is odd" in editorial of problem C
•  » » It will be fixed in a few minutes. Thank you!
•  » » » what should i do if k=0?
 » In solution for E it should be ax + 1
 » Why does my C WA?http://codeforces.com/contest/1051/submission/43144963
•  » » Same. http://codeforces.com/contest/1051/submission/43262138 In even case, I just print A or B, changing them when 'nice' number found. I get WA. I can't understand why it happens. Please explain someone.
 » 3 years ago, # | ← Rev. 3 →   Can anyone explain why the last coloumn won't contain the answer and how are we calculating final answer(why are we xoring with 3)?
•  » » Hi there, I think you are talking about problem D. Well, the explanation skipped a step. BB — 00 BW — 01 WB — 10 WW — 11This is what the numbers mean. The number of new components can be easier to understand in my code here. Let me know if you have any doubts or require further explanation. :)
•  » » » thanks for your code. It helped me understand it better
•  » » » please , would you like to explain with 1 ,2,3 test case
•  » » » » NilakshiRocks thanks a lot ! I"m glad I could help :)9aminul Please read my explanation here and let me know if you have any doubts. :)
•  » » » » » thanks
•  » » » » » thanks a lot
•  » » » Hi ghoshsai5000, Thanks for simplifyinh things.could you help me with one doubt on author's editorial: int get(int mask, int nmask){ int cnt = __builtin_popcount(mask ^ nmask); if (cnt == 0) return 0; if (cnt == 2) return (full(mask) ? 1 : 2); // Please explain this return statementt, based on your code, it should //be: return (full(mask) ? 1 : 0); return (full(mask) ? 0 : 1); } If you can explainn this by any example, that would be great. Thanks :)
•  » » » » Hi, Being honest, I didn't understand the editorial code completely. That's why I clearly elaborated all 16 cases in my code with understandable variable names to make the logic extremely clear :)
 » Proof of complexity of F?
•  » » Assume M = O(N), since M <= N + 21. Then, the complexity will be something like O((21*N*lg N + Q * (lg N + 21)). Since the preprocessing part for LCA takes O(N lg N) time and no more than O(N) edges will be erased from the set. We run dijkstra (O(N lg N)) from no more than 21 vertices = O(21*N lg(N)) and for every query we find the lca in O(lg N) and then iterate over all atmost 21 bad vertices to compute each distance in a O(1) time.
 » Here's my code for problem F, I'm not sure why I get WA on test 3 everything seems ok to me. can someone please explain my mistake? 43225756
•  » » found it, thank's anyway
 » In problem C, i found test case 6 1 1 1 2 2 2 that your solution print A A A A A A, can you recheck it ?
•  » » It's the correct output though?
•  » » » I realized the nice number of each subset equal 0, forgot it.
 » Why didn't CodeForces evaluate the code? What's wrong?
 » We can use a type of mergeable segment tree to solve problem G, with O(nlogn) nodes created overall, so the time complexity is O(nlogn).http://codeforces.com/contest/1051/submission/43232839
•  » » Are there any material to learn mergeable segment tree?
•  » » »
•  » » » This is an example (with some extra functions): https://codeforces.com/blog/entry/49446
 » Can someone explain the Question D. Thanks!
 » Hard to understand Problem D. Can anyone Suggest me some good Editorial.
 » In problem D like the editorial says dp[i][j][mask] be the number of beautiful bicolorings of the first i columns such that j components are already created and can't be modified and the colors of the i-th column are determined by mask. I didn't understand what does mask mean, like what does dp mean. I wanted to know that ,like dp mean number of beautiful bicolorings of the first 2 coulmns such that 4 components are already visited , now what does 0 mean here. Someone please explain.
•  » » I can see, there are total of 1200 Submission to this problem. But after reading tutorial, It seems hard to me.Any good explanation?
•  » » Set dp[n][k][mask] as the number of ways with n columns, k components, ending with mask in the n-th column. You can end up in 4 ways: white-white, white-black, black-white, black-black (that's the meaning of the mask having the values 00, 01, 10, 11). After this, try to figure it out the dp transitions by yourself. Good luck
•  » » » Thanks a lot
•  » » Video solution with explanation: https://youtu.be/lSyQQ1T6iQ8
 » hey can someone tell me what's the wrong with this code for problem C ? link — http://codeforces.com/contest/1051/submission/43270735 thanks in advance.....
 » Can someone help me out with what is test 67 on problem E or why my code is going wrong?43274362
•  » » Sorry, after thinking I realized I was just running into anti-hash tests. I was lazy and chose 998244353 as my hashing prime, and the same code AC with 1e9+9.
•  » » » I advise you to use double MODs because if this submission was in a contest anyone can hack you.
 » My submission in "E — Vasya and Big Integers" was TLE, can anyone help me?http://codeforces.com/contest/1051/submission/43280760
•  » » Well, without the O(n) strlen calls everywhere its only WA on Test 36.https://codeforces.com/contest/1051/submission/43414241
•  » » » Thank you! I realize that strlen calls are waste of time.
 » i didn't understand the last part(last for loop ) of c problem.. can anyone help me through this.. i am beginner to codeforces..
 » 1051F.I applied modified floyd warshall to accept undirected graph.But it's giving WA in test case 3.Pl help. 44619613
 » Can someone explain what is editorial approach for F and why we need it. Like why cant i run dijkstra from u to v in the graph with the time complexity of 0((n*logn) + ((n+21)*logn)) + q) ?
 » There's an even faster solution for problem D.Let $ww[i][j]$ denote the number of $2 \times i$ grids that end with a column of (two) white squares and have $j$ components. Define $wb[i][j]$, $bw[i][j]$ and $bb[i][j]$ analogously.Now, suppose we have a random $2 \times (i-1)$ grid and we want to find out the value of $ww[i][j]$. Consider the possible arrangements of the $i-1$-th column in the random grids:1) The $i-1$-th column contains two white squares. In this case, we add $ww[i-1][j]$ to $ww[i][j]$. We do this because every possible grid that ends with two white squares and has $j$ components generates another possible grid (which has one more column and keeps the same amount of components) by adding a column of white squares.2) The $i-1$-th column contains two black squares. In this case, we add $bb[i-1][j-1]$ to $ww[i][j]$ (notice that we add one column and one component to the grid when we add a column of white squares).3) The $i-1$-th column contains distinct squares. In this case, we add $wb[i-1][j]$ and $bw[i-1][j]$ to $ww[i][j]$. This happens because when we add a column of white squares, the number of components doesn't change (the white part of the $i-1$-th column touches the new column) and, obviously, the number of columns increases by 1.This means that $ww[i][j] = wb[i-1][j] + bw[i-1][j] + ww[i-1][j] + bb[i-1][j-1]$The other recurrences are left as an exercise to the reader $\dots$Obs.: Notice that $ww[i][j] = bb[i][j]$ and $wb[i][j] = bw[j][i]$ because of symmetry. I only used four distinct arrays in this comment because my reasoning can be expressed more clearly this way.Therefore, you just need to run a double for loop to update the DP arrays. This can be achieved in $O(n \cdot k)$ time.
 » Can someone please help me with problem 1051D - Bicolorings ?The time limit is 2 seconds. My Python3 solution takes around 2.04 sec. It is giving TLE. I think there should be some flexibility for slower languages like python ? Can my solution be improved further ?