We continue to use email for information exchange. And we will use github to post session notes: https://github.com/vzhang2008/competitive
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Summary of Class 15 DAG -- Topological Sorting (USACO 4.4)
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“To improve is to change; to be perfect is to change often.” ― Winston S. Churchill Version Control (or Revision control or source control): Version Control System (VCS) Concurrent Version System (CVS) Subversion (SVN) git command: git add . (or file) git commit -m "msg" git push origin <branch-name> https://services.github.com/on-demand/downloads/github-git-cheat-sheet/ Review of SCC, DFS, BFS SCC: A digraph is strongly connected if every two vertices are mutually reachable . A strong component of a digraph G is a maximal strongly connected subdigraph of G. Equivalently, a strong component is a subdigraph induced on a maximal set of mutually reachable vertices. Graph DFS: stack-based : (for loop with visited vertices) tree edge, forward edge ...
Summary of Class 14 Strongly Connected Components (SCC)
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Try not to become a man of success, but rather try to become a man of value. - Albert Einstein 不自见故明;不自是故彰;不自伐故有功;不自矜 故长。 夫唯不争,故天下莫能与之争。 Data Structure Review (C++ STL) : array(array), dynamic array (vector) doubly linked list (list), singly linked list (forward_list) stack, queue, priority_queue (heap structure) binary tree, binary search tree (BST) graph (adjacent list, adjacent matrix, edge list) union-find data structure A directed graph is strongly connected if there is a path between all pairs of vertices. https://en.wikipedia.org/wiki/Strongly_connected_component Kosaraju’s algorithm 1) Do DFS and push the vertex to stack S. For each vertex u of the graph, mark u as unvisited in visited[] array. Let Stack S be empty. For each vertex u of the graph do dfs(u, visited, S), where dfs() is the recursive subroutine: mark u as visited: ...
Summary of Class 13. Hamiltonian path
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Success is not final, failure is not fatal: it is the courage to continue that counts. ― Winston S. Churchill A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. A Hamiltonian cycle (or Hamiltonian circuit ) is a Hamiltonian Path such that there is an edge (in graph) from the last vertex to the first vertex of the Hamiltonian Path. 0. Permutation and combination set and subset: sequence and subsequence: https://www.mathsisfun.com/sets/sets-introduction.html http://www.mathsisfun.com/algebra/sequences-series.html permutation: the act of arranging all the members of a set into some sequence or order combination: a selection of items from a collection without order https://www.mathsisfun.com/combinatorics/combinations-permutations.html Problem : print all the combination of "abcd". backtracking-like method and bitmask method. Solution: re...