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If you've seen these problems, a virtual contest is not for you - solve these problems in the archive. Virtual contest is a way to take part in past contest, as close as possible to participation on time. The second line contains a sequence of integers $$$c_{1, 1}, c_{1, 2}, \dots, c_{1, n}$$$ $$$(1 \le c_{1, i} \le 10^{9})$$$, where $$$c_{1, i}$$$ is the cost of painting the $$$i$$$-th vertex into the first color. Thank you, I'll search about coordinates compression. Virtual contest is a way to take part in past contest, as close as possible to participation on time. More formally, he assigns a color to each edge of the tree so that it meets the following two conditions: Not all tree paintings are equally good for Adam. when the BST uses an implicit key, the key you pass to an access operation is compared with a key calculated inside the operation, referring to some property of the current node being visited. Anton doesn't like multicolored trees, so he wants to change the tree such that all vertices have the same color (black or white). How to Interpret Contest Ratings. ZS the Coder and Chris the Baboon has arrived at Udayland! A. Ian Visits Mary (800) B. output. There are more techniques, but I am not sure when I will be able to make videos for them. The Harmonization of XOR F. Inverse Transformation G. Colorful Tree Again H. Codeforces Scoreboard I. Treasure Hunt 1787; . #E17000. For each vertex, you know the cost of painting it in every color. The first line of the input contains a single integer n (1n200000) the number of vertices in the tree. I did not understood the meaning of using "implicit" keyword for array based cartesian tree? We recommend using the Cal State Fullerton Titans colors for personal projects and in the case of commercial use to visit the university or . 52B - Right Triangles. Then $$$(n - 1)$$$ lines follow, each containing two integers $$$u_j$$$ and $$$v_j$$$ $$$(1 \le u_j, v_j \le n, u_j \neq v_j)$$$ the numbers of vertices connected by the $$$j$$$-th undirected edge. After each operation you need to calculate the minimum cost of coloring the resulting tree. "The key idea is to use the indices of elements in the array as the key. Code Revisions 1 Stars 1 Download ZIP Raw F. Team Rocket Rises Again - Codeforces.cpp #include <bits/stdc++.h> using namespace std; const int maxn = int (1e5) + 10; const long long inf = (long long) 1e16; int n, m, s, vis [maxn], sub [maxn]; vector<pair<int, int>> graph [maxn]; vector<int> path [maxn]; long long dist [maxn]; Can please someone explain me how to solve timus 1439? Example of a tree. You are given a tree (an undirected connected acyclic graph) consisting of n n vertices. The only programming contests Web 2.0 platform. Polycarp's Pockets.cpp","path":"CodeForces/1003A. Calculate the number of beautiful colorings, and print it modulo $$$998244353$$$. 2 Only) 5: 368: Friends: Codeforces: Codeforces Beta Round #76 (Div. Hello codeforcers, today I'll try to explain an alternate solution for this problem, which is completely different from any of the solutions mentioned in the editorial. How can merge sort tree be applied to this query, especially, what is the approach for the query function? The first line contains three integers, n, m and k (1kn100, 1m100) the number of trees, number of colors and beauty of the resulting coloring respectively. For any two vertexes that have incident edges painted the same color (say. Minimize diameter of tree by applying almost k.operations. Minimize diameter of tree by applying almost k.operations. There are n vertices in the tree, each of them is painted black or white. A. Nezzar and Colorful Balls B. Nezzar and Lucky Number C. Nezzar and Symmetric Array 1478; They decided to be naughty and color the trees in the park. You have to color all vertices of the tree into $$$n$$$ colors (also numbered from $$$1$$$ to $$$n$$$) so that there is exactly one vertex for each color. 1 + Div. Let's call a painting which meets this condition good. The problem statement has recently been changed. Never use someone else's code, read the tutorials or communicate with other person during a virtual contest. It is supported only ICPC mode for virtual contests. If we aren't allowed to hold any additional data in each node, I think it is impossible in the worst case. Moreover, no data structure is efficient (I believe) if used in a naive way, because N is too big.I'd suggest coordinates compression and then Segment Tree or BIT. There is no vertex that has more than two incident edges painted the same color. 4) DeadlyPillow A New Cheating Case. If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive. Shouldn't O(depth of result node) be upper bounded by O(n). 2), How do I get blue in codeforces in 1 month, Educational Codeforces Round 152 Editorial, UNIQUE VISION Programming Contest 2023 Summer(AtCoder Beginner Contest 312) Announcement, Codeforces Round 887 (Div 1, Div 2) Tutorial, 2022-2023 Southern And Volga Russian Regional - Editorial, Teams going to ICPC WF 2022 (Egypt 2023) WIP List. All caught up! Exercises! Since there are 3 doors (3,6,7) less than 8 which got destroyed, 8 will now become 5. CF 865. Your task is to maximize the number of points you gain. and apply operation paint(3) to get the following: Anton is interested in the minimum number of operation he needs to perform in order to make the colors of all vertices equal. If there are multiple good paintings with minimum cost, print any of them. - To implement other operations we require two commplementary operations: Split and Merge. A tree is an undirected connected acyclic graph. If you've seen these problems, a virtual contest is not for you - solve these problems in the archive. It is a simple modification of the usual Cartesian tree. Before contest Codeforces Round 888 (Div. Assuming that al X and Y are different, for an element (X0,Y0): - All the elements in the left subtree are such that X < X0, - All the elements in the right substree are such that X > X0, - All the elements in the left or right subtrees are such that Y < Y0, Y's are the priorites (choosed at random), If we didn't use priorities, then it would be a normal binary search tree, and the given set of X's could meet a lot of trees, some of which are degenerate. Virtual contest is a way to take part in past contest, as close as possible to participation on time. You are given a tree consisting of $$$n$$$ vertices. ci equals to 0 if the tree number i is uncolored, otherwise the i-th tree has color ci. Solve more problems and we will show you more here! Round 889 Question B, http://citeseer.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.8602, http://book.huihoo.com/pdf/cs-373-combinatorial-algorithms/notes/04-treaps.pdf, http://habrahabr.ru/blogs/algorithm/101818/, http://habrahabr.ru/blogs/algorithm/102006/, http://habrahabr.ru/blogs/algorithm/102364/, http://acm.timus.ru/problem.aspx?space=1&num=1439, http://acm.timus.ru/problem.aspx?space=1&num=1469, http://acm.timus.ru/problem.aspx?space=1&num=1521, http://acm.timus.ru/problem.aspx?space=1&num=1839, http://acm.sgu.ru/problem.php?contest=0&problem=155, http://informatics.mccme.ru/moodle/mod/statements/view3.php?id=1974&chapterid=2789, http://www.codechef.com/problems/GENETICS/. Demiurges Play Again . The only programming contests Web 2.0 platform. in traditional BSTs, the key you pass to an access operation is compared with a key stored in the current node being visited. You have to calculate the minimum cost of a good painting and find one of the optimal paintings. We can do an algorithm with O(n) pre-calculation and O(log(n)) query: in each node, in addition to the value of the node, we also hold the sum of the subtree of the node. Well, simply because the auxiliary tree of k k vertices has at most 2(k 1) 2 ( k 1) edges. At least I couldn't implement it correct here. the trees with ci=0. Hi CF community, I am glad to see that there are increasing number of tutorial posts on Codeforces. The trees are numbered with integers from 1 to n from left to right. Anton is growing a tree in his garden. And I learnt it after that day and can solve some problem using it like FROG 3 on dp list of atcoder . In the second sample, the tree is already white, so there is no need to apply any operations and the answer is 0. Otherwise, print the minimum cost of a good painting in the first line. Before contest Codeforces Round 889 (Div. Round 889 Question B. (Colorful Tree Again) mcqueencin Difficulties Faced in ICPC Colombia: Balancing National and International Competitions . KilluaZolldyck . tt my teacher says that you just have to know li chao tree and you will simple do this . Now we create a list of all lists in the current level and we sort this list too. (Colorful Tree Again) SlavicG Codeforces Round 886 (Div. 1 + Div. 8 I am solving this problem using segment tree but I get time limit error. But we can keep only numbers of deleted doors in BST and use it to get answer. ". If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive. If there are no valid tree colorings of beauty k, print -1. In the first sample, the tree is the same as on the picture. If you've seen these problems, a virtual contest is not for you - solve these problems in the archive. Then on each turn you choose a white vertex adjacent (connected by an edge) to any black vertex and paint it black. The problem statement has recently been changed. Let $$$S$$$ be the set of nodes which will be toggled in $$$B$$$. The only programming contests Web 2.0 platform. Examples: Input: color [] = { 1, 1, 2, 1, 3, 1} Output: 4 If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive. Is there any problem which needs treap for solving efficiently? Could you please explain the last line, Please also correct the grammar of the sentence, especially the second part. The only programming contests Web 2.0 platform, Educational Codeforces Round 67 (Rated for Div. 1712C - Sort Zero. standard output. Then n lines follow. if i found more in my list i will add them also but in contests using coordinate compression and segment tree / BIT is more useful and faster in code (if they are acceptable), https://community.topcoder.com/stat?c=problem_statement&pm=14084. We denote it as paint(v), where v is some vertex of the tree. Anyways, I hope there aren't any typos. If there is no good painting, report about it. D. Paint the Tree. This can be easily done in $$$O(n)$$$ time. - Each element (X,Y) contains pointers to the left (L) an the right (R) sons. So the answer for each query will simply be the maximum of the values we get from all the 3 types of paths, and time taken for each query will be $$$O(1 + \log{q} + \sqrt{q})$$$ (lol the holy trifecta). Codeforces Visualizer. 2), How do I get blue in codeforces in 1 month, Educational Codeforces Round 152 Editorial, UNIQUE VISION Programming Contest 2023 Summer(AtCoder Beginner Contest 312) Announcement, Codeforces Round 887 (Div 1, Div 2) Tutorial, 2022-2023 Southern And Volga Russian Regional - Editorial, Teams going to ICPC WF 2022 (Egypt 2023) WIP List. In case you forgot, the tree is a connected acyclic undirected graph. Assuming that al X and Y are different, for an element (X0,Y0): - All the elements in the left subtree are such that X < X0 - All the elements in the right substree are such that X > X0 To learn more about Orange County history, come visit us in Santa Ana or go to www.ocarchives.com. I don't know how I can improve the performance of my code. 2], I think I just did something crazy? The only programming contests Web 2.0 platform, Educational Codeforces Round 118 (Rated for Div. How can merge sort tree be applied to this query, especially, what is the approach for the query function? How to do fractional cascading on an iterative segment tree? A data structure that stores a pair (X,Y) in the form of a binary search tree with respect to X and a heap with respect to Y. Given two binary search trees with identical structure, same node value but just one node with different values, how can we determine this node (by determining the node I mean the path from root to this node). It's guaranteed that all pairs (ui,vi) are distinct, i.e. (Colorful Tree Again) . The two friends define the beauty of a coloring of the trees as the minimum number of contiguous groups (each group contains some subsegment of trees) you can split all the n trees into so that each group contains trees of the same color. Open Codeforces Rating System. I can just do simple dp and check the condition with O (N^2) . Let's consider the path from some vertex to the root. cry Codeforces Round 887 (Div 1, Div 2) Tutorial . The first line contains one integer $$$n$$$ $$$(3 \le n \le 100\,000)$$$ the number of vertices. C. Color the Picture (1500) D. Rain (2100) E. XOR Triangle (2500) 53. I think these hints are enough to solve the problem. On the first turn of the game you choose one vertex and paint it black. In the second line print $$$n$$$ integers $$$b_1, b_2, \dots, b_n$$$ $$$(1 \le b_i \le 3)$$$, where the $$$i$$$-th integer should denote the color of the $$$i$$$-th vertex. It's great to see this kind of really useful blogs in the recent actions. The N log N comes from the building of the treap. Another String Minimization Problem (800) B. The solution works in $$$O((n + q)\sqrt{q} + q\log{q})$$$ time, and here is my shitty implementation with some comments. there are no multiple edges. The only programming contests Web 2.0 platform. In case you forgot, the tree is a connected acyclic undirected graph. Grid Reconstruction (1000) C. Ian and Array Sorting (1300) D. Sum Graph (2000) E. Between . ", word "area" should be "are". Minimize diameter of tree by applying almost k.operations. output. If you choose the vertex $$$9$$$, you will gain $$$3$$$ points for the connected component consisting of vertices $$$7, 8$$$ and $$$9$$$. Now, we can categorise all the "potential paths" into 3 types: This segregation can be done easily in $$$O(n)$$$ time. I had initially assumed that the question refers to balanced binary search trees (in which case, "depth of result node" <= log(n)). 1712D - Empty Graph. Elo rating system. On the first turn of the game you choose one vertex and paint it black. An edge between color $$$c$$$ and vertex $$$v$$$ exists, if $$$v$$$ has an edge with color $$$c$$$. On average using priorites provides us the asymptotics O(log n). Edge $$$i$$$ is denoted by two integers $$$u_i$$$ and $$$v_i$$$, the indices of vertices it connects ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$). 2 Only) 5: 367: Datatypes: Codeforces: Codeforces Beta Round #83 (Div. The key of a node is the number number of nodes in its left subtree, and also, in the left subtree of its ancestors. Competitive Programming Roadmap (target: [gray, blue]), Editorial of Codeforces Round 889 (Div. Xp ch ngi Vn chuyn go Lp lch sa cha t Good night. 2], I think I just did something crazy? Do not assume that the array is sorted. Firstly, let us just find all the colors whose paths have the potential to be "good paths". Nhng bi tp ni bt . I had been making video for problem solving, data structures, algorithms for a while now on my YouTube channel and I want to share a good lecture series here on "Dynamic Programming on Trees". the trees with ci = 0. Codeforces Practice Tracker Browser Extension, Educational Codeforces Round 152 [Rated for Div. 1 Only) & Codeforces Beta Round #84 (Div. In the first sample case, coloring the trees with colors 2,1,1 minimizes the amount of paint used, which equals to 2+3+5=10. In the second sample case, all the trees are colored, but the beauty of the coloring is 3, so there is no valid coloring, and the answer is -1. If you are beginner in Dynamic Programming, I would recommend you to watch this playlist "Dynamic Programming: From Zero to Hero" first. The j-th number on the i-th of them line denotes pi,j (1pi,j109) the amount of litres the friends need to color i-th tree with color j. pi,j's are specified even for the initially colored trees, but such trees still can't be colored. It is supported only ICPC mode for virtual contests. I wrote this blog after eating 4 sizeable chocolates so I feel a bit disoriented. ZS the Coder and Chris the Baboon wants to color all uncolored trees so that the beauty of the coloring is exactly k. They need your help to determine the minimum amount of paint (in litres) needed to finish the job. The first line contains an integer $$$n$$$ the number of vertices in the tree ($$$2 \le n \le 2 \cdot 10^5$$$). ZS the Coder and Chris the Baboon decides to color only the uncolored trees, i.e. Programming competitions and contests, programming community . 2], I think I just did something crazy? Then follow n-1 line, each of them contains a pair of integers ui and vi (1ui,vin,uivi) indices of vertices connected by the corresponding edge. Consider the following range query: we are given l,r,k. Can you help me with its performance issues ? {"payload":{"allShortcutsEnabled":false,"fileTree":{"CodeForces":{"items":[{"name":"1003A. Initially all vertices are white. You have to paint the vertices so that any path consisting of exactly three distinct . So how do we remedy this? You have to color all vertices of the tree into n colors (also numbered from 1 to n) so that there is exactly one vertex for each color. 2). My complexity is O(N * log(N) + M * log(N)). The figure below shows one of the possible variants to paint a tree from the sample at the last moment. For example, consider the tree. The first line contains one integer $$$n$$$ ($$$2 \le n \le 250000$$$) the number of vertices in the tree. This operation changes the color of all vertices u such that all vertices on the shortest path from v to u have the same color (including v and u). If we want to block/unblock vertex $$$p$$$, remove/restore all of the edges of its corresponding node in the bipartite graph. Using this concept, each door x will become x (number of doors <= x that got destroyed). Now, let's make an observation about how the bipartite graph is affected if we consider only a subset of all the vertices. Please note that the friends can't color the trees that are already colored. If, for instance, we are at a node, and both children nodes have the same value, there is no way to decide in which child the result is (once again, if we aren't allowed to hold any additional data). You have to paint the vertices so that any path consisting of exactly three distinct vertices does not contain any vertices with equal colors. Codeforces Practice Tracker Browser Extension, Educational Codeforces Round 152 [Rated for Div. By EZDUBS , history , 109 minutes ago , Consider the following range query: we are given l,r,k. Let's call these "potential paths". The color codes: RGB, CYMK for print, Hex for web and the Pantone colors can be seen below. [GYM] HIAST Collegiate Programming Contest 2023 Revision en4, by ahmad_alghadban, 2023-07-21 17:14:25 We would be happy to invite you to participate in 2023-2024 ICPC HIAST Collegiate Programming Contest that was held on 17th July in Damascus, Syria. I am glad to see that there are increasing number of tutorial posts on Codeforces. Click on SATELLITE button on the map to see the satellite photo of this map. Below is my raw code for range minimum query and by changing min to max in my code the above problem can be solved . When you have to destroy a door X, just find the original door number using binary search. For example, 8. A data structure that stores a pair (X,Y) in the form of a binary search tree with respect to X and a heap with respect to Y. I would appreciate if someone could post problems that can be solved it, there are some at infoarena. Else there is no solution for current 1) case. For each vertex, you know the cost of painting it in every color. Codeforces Solve Tracker. Virtual contest is a way to take part in past contest, as close as possible to participation on time. Treap is not efficient in this problem. Print n integers the minimum costs of the tree painting after each addition. The fourth line contains a sequence of integers $$$c_{3, 1}, c_{3, 2}, \dots, c_{3, n}$$$ $$$(1 \le c_{3, i} \le 10^{9})$$$, where $$$c_{3, i}$$$ is the cost of painting the $$$i$$$-th vertex into the third color. Avoid using it as a text color because it will not meet accessibility requirements. Never use someone else's code, read the tutorials or communicate with other person during a virtual contest. Let $$$c_i$$$ be the color of vertex $$$i$$$, and $$$p_i$$$ be the parent of vertex $$$i$$$ in the rooted tree. When Adam gets a rooted tree (connected non-directed graph without cycles), he immediately starts coloring it. For any two vertexes that have incident edges . These edges form a tree. l and r denote the range, and we are asked to find the k-th largest element in this range. 1 + Div. brute force, data structures, trees. Vertices $$$1$$$ and $$$4$$$ are painted black already. Could you please tell in the line "Union(T1,T2), Avg Complexity O(M log N/M) : Combines two trees, assuming that the elements are different", what M refers? 3000: x322: 1783G Weighed Tree Radius . 1191A - Tokitsukaze and Enhancement. Codeforces Practice Tracker Browser Extension, Educational Codeforces Round 152 [Rated for Div. KilluaZolldyck . . Print one integer the minimum number of operations Anton has to apply in order to make all vertices of the tree black or all vertices of the tree white. 2), How do I get blue in codeforces in 1 month, Educational Codeforces Round 152 Editorial, UNIQUE VISION Programming Contest 2023 Summer(AtCoder Beginner Contest 312) Announcement, Codeforces Round 887 (Div 1, Div 2) Tutorial, 2022-2023 Southern And Volga Russian Regional - Editorial, Teams going to ICPC WF 2022 (Egypt 2023) WIP List. Harambe forever. colori=0 means that the i-th vertex is initially painted white, while colori=1 means it's initially painted black. It is supported only ICPC mode for virtual contests. Tree Queries (Hard Version) E. Ambiguous Dominoes 1695; . 2], I think I just did something crazy? 2) If all the lights in i-th row are off, then toggle i-th row. In line "Split(T,X) : divides the tree T into two trees L and R so that L contains all elements that are smaller than X, and R contains all elements that area are equal or larger than X. If we first apply operation paint(3) and then apply paint(6), the tree will become completely black, so the answer is 2. I have covered problems like - (for example in form of a chain), so operations would be done really slowly. I have covered problems like -- Easy DP: Find the size of every node's subtree in a rooted Tree.- Medium In/Out DP: Find the height of the tree for all scenarios where every node is considered root of the tree one by one.- Hard DP: Binary Lifting on Trees (LCA, etc). Lucky Tree: Codeforces: Codeforces Beta Round #84 (Div. Now, let us divide the queries into blocks of q q size. 2], I think I just did something crazy? What will be the new number of these doors then? 903A - Hungry Student Problem. In this case, the result node might be in the last node in which we look, which would lead to an O(n) worst case complexity. The coloring is considered beautiful if there is no vertex $$$k$$$ ($$$k > 1$$$) such that $$$c_k = c_{p_k} - 1$$$, i.e. no vertex such that its color is less than the color of its parent by exactly $$$1$$$. Here is your hint: Suppose n = 10, out of which door number 3, 6,7 and 9 has been destroyed. The first example tree is shown in the problem statement. The second line contains n integers colori (0colori1) colors of the vertices. An obvious solution is to do traversal for both the trees and keep track of the path. the original article (on e-maxx) suggests that the BST is implicit, because the key is implicit. standard output. Minimize diameter of tree by applying almost k.operations. The key of a node is the number number of nodes in its left subtree, and also, in the left subtree of its ancestors. Each time when you choose a vertex (even during the first turn), you gain the number of points equal to the size of the connected component consisting only of white vertices that contains the chosen vertex. Virtual contest is a way to take part in past contest, as close as possible to participation on time. I shall be thankful to him. So don't give up on Treap. Minimize diameter of tree by applying almost k.operations. The second line contains n numbers pi (1pii) the numbers of the vertexes to which we add another vertex. Codeforces Upsolving Helper. In other words, let's consider all triples $$$(x, y, z)$$$ such that $$$x \neq y, y \neq z, x \neq z$$$, $$$x$$$ is connected by an edge with $$$y$$$, and $$$y$$$ is connected by an edge with $$$z$$$. Let's call the number of distinct colors on this path the cost of the vertex. Competitive Programming Roadmap (target: [gray, blue]), Editorial of Codeforces Round 889 (Div. How to do fractional cascading on an iterative segment tree? The only programming contests Web 2.0 platform. In the last sample case, all the trees are colored and the beauty of the coloring matches k, so no paint is used and the answer is 0. The answer will be the weight of the maximum weighted potential path amongst all colors whose corresponding nodes do not have any deleted edges. The problem statement has recently been changed. Door number 5. Today I read about cartesian tree(treap) from e-maxx's page, since it is in russian I decided to translate some parts. l and r denote the range, and we are asked to find the k-th largest element in this range. data structures, divide and conquer . Find the longest path through some star . A. You are playing a game on this tree. Initially, tree i has color ci. The only programming contests Web 2.0 platform, {2},{1,1,1},{3},{2,2},{3},{1},{3}. Then, in order to find the different node, we do a search like this: This is O(depth of result node), which is equivalent with O(log(n)). Clearly, each potential path will be a linear chain containing all the edges of its respective color. The colours of $$$x$$$, $$$y$$$ and $$$z$$$ should be pairwise distinct. Another Codeforces Solve Tracker. How to do fractional cascading on an iterative segment tree? No two potential paths will share an edge (although they can share vertices). Then on each turn you choose a white vertex adjacent (connected by an edge) to any black . How to do fractional cascading on an iterative segment tree? My question is can we do better than O(n) for this problem? Anton is growing a tree in his garden. Round 889 Question B. Each of the next $$$n - 1$$$ lines describes an edge of the tree. Codeforces: Problem Difficulties. 2 Only) 5: 369: Colorful Field: Codeforces: Codeforces Beta Round #71: 5: 370: . The optimal way to do it is to paint the first vertex into color $$$1$$$, the second vertex into color $$$3$$$, and the third vertex into color $$$2$$$. Codeforces. You are given a tree (an undirected connected acyclic graph) consisting of $$$n$$$ vertices. Existence of more potential paths which are touched by more than one vertex from this set would imply that the auxiliary tree is incomplete which would be a contradiction. Observation: If we consider a set of $$$k$$$ vertices, there will be no more than $$$2(k - 1)$$$ "potential paths" which are touched by more than one vertex in this set. It is guaranteed that these edges denote a tree. The cost of the tree's coloring will be the maximum cost among all the vertexes. Contests Filter. Think of a path like BST, values inserted in increasing order, and last nodes mismatch. If you've seen these problems, a virtual contest is not for you - solve these problems in the archive. Well, obviously by making the graph smaller if possible. The problem statement has recently been changed.

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colorful tree again codeforces