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This is the official video editorial of the CodeChef January Long Challenge This video also covers the prerequisite for the problem: Link Cut TreeProble. The link-cut tree data structure represents a rooted forest (a collection of rooted trees) and can perform the following operations in O(\log n) amortized time (here, a node represents a vertex of the tree): link(par, child): Attach a tree (child) as a child of another tree's node (par). cut(node): Detach node's subtree from node's parent. All submissions for this problem are available.
Read problems statements in Mandarin chinese, Russian and Vietnamese as well.
The basic idea is to decompose the tree into some links consisting of heavy edges and some separate light links, as following 2 links only: For each node, choose one of the biggest son as the heavy edge choose anyone if there are some ties.
A forest is an undirected acyclic graph. Let us define the strength of a forest as the sum of squares of sizes of its connected components. (Clearly, a tree with n nodes has strength n 2.).
Chef has found a tree with N nodes on day On each of the next N-1 days, he. Dec 16, Link Cut Tree, Heavy-Light Decomposition. PROBLEM: Given a 0/1 colored tree of N nodes. Support two types operations (Q in total): Ask the size of same color connected component of node u; Toggle the color of node u. EXPLANATION: Both link cut tree and heavy-light decomposition can solve this problem. Here we mainly talk about the later treeclearing.barted Reading Time: 8 mins. CodeChef - A Platform for Aspiring Programmers.
CodeChef was created as a platform to help programmers make it big in the world of algorithms, computer programming, and programming treeclearing.bar CodeChef we work hard to revive the geek in you by hosting a programming contest at the start of the month and two smaller programming challenges at the middle and end of the month.