Test instructions: In a n*n matrix, there are m points, each elimination of a row or a column of points, the minimum number of operations;Idea: The x-axis and the y-axis as two different sets, each row or column as a point, each given point as an edge, so that the two-part map is built;Eliminate all points, the matrix is completely covered, so as to the minimum point coverage problem;Minimum cover number = maximum number of matches, so the maximum number of matches is required;#include #include#
The main idea: in an n * n grid, there are m obstacles, and now you have a weapon, this weapon can eliminate any line or a row of obstacles, now requires all obstacles to eliminate, ask at least how many times the use of this weaponProblem-solving ideas: Think of long time how to solve the problems of row and column ... How to represent two point setsFinally suddenly thought, since do not know how to deal with the ranks, the ranks are divided into two points, the point on behalf of the relations
Question address: Asteroids
Question:
Give you a grid of N * n. In the coordinates of the given stars, the operation is to eliminate a whole row or a column of stars each time and ask you the minimum number of operations required.
Solution:
The key is to think about binary matching. You can draw a picture first, and create the coordinate rows and columns of the star position, (1-> 1, 1-> 3)/(2-> 2)/(3-> 2 ). how can we minimize the elimination of all
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Konig theorem:Minimum vertex overwrite in a bipartite graph = maximum number of matching in a Bipartite Graph
N * n networks contain K minor planets. The position of the minor I is (Ri, CI ). Today, there is a powerful weapon that can use a single beam to destroy an entire row or a whole column of minor planets. How many light beams are required to use this weapon to destroy all the minor planets?
Analysis: a bipartite graph is created based on the coordinates of the left and ri
Tags: Io OS for SP C on amp R size The maximum matching of a bipartite graph = the minimum vertex overwrite (Konig theorem) = the maximum matching of the largest independent set the maximum matching of the classic three models. This is the minimum vertex overwrite, by the way, my experience with this question is that you must be careful and then be familiar with all the details of the template during debugging !! # Include # Include # Include Using namespace STD; Const int maxn = 10005;
vertex overwrite = maximum number of matches.
Therefore, the question is convertedMaximum matching of a Bipartite Graph, It is a perfect solution.
By the way, the zju1002 bipartite graph model cannot directly use rows or columns as the vertices of the Bipartite Graph, but needsSplit point. For more information, see my other solution report.
Http://blog.csdn.net/tiaotiaoyly/archive/2008/10/23/3122893.aspx
/*
Pku3041 Asteroids
*/
# Include
#
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