Pro.ID22512 TitleMetal Cutting Title链接http://10.20.2.8/oj/exercise/problem?problem_id=22512 AC0 Submit0 Ratio- 时间&空间限制描述In order to build a ship to travel to Eindhoven, The Netherlands, various sheet metal parts have to be cut from rectangular pieces of sheet metal. Each part is a convex polygon with at most 8 vertices. Each rectangular piece of sheet metal has width n and height m, so that the four corners of the sheet can be specified by the Cartesian coordinates (0, 0), (0, m), (n, m) and (n, 0) in clockwise order. The cutting machine available can make only straight-line cuts completely through the metal. That is, it cannot cut halfway through the sheet, turn, and then cut some more. You are asked to write a program to determine the minimum total length of cuts this machine has to make in order to cut out the polygon. The cuts must be along the edges of the poligon.
输入The first line of input contains the two integers n and m where 0 < n, m <= 500. The next line contains p, the number of vertices in the polygon, where 3 <= p <= 8. Each of the next p lines contains two integers x and y where 0 < x < n and 0 < y < m, specifying the vertices of the polygon. The vertices are listed in clockwise order. You may assume that the polygon does not intersect itself, and that no three consecutive vertices are colinear. 输出Description In order to build a ship to travel to Eindhoven, The Netherlands, various sheet metal parts have to be cut from rectangular pieces of sheet metal. Each part is a convex polygon with at most 8 vertices. Each rectangular piece of sheet metal has width n and height m, so that the four corners of the sheet can be specified by the Cartesian coordinates (0, 0), (0, m), (n, m) and (n, 0) in clockwise order. The cutting machine available can make only straight-line cuts completely through the metal. That is, it cannot cut halfway through the sheet, turn, and then cut some more. You are asked to write a program to determine the minimum total length of cuts this machine has to make in order to cut out the polygon. The cuts must be along the edges of the poligon.
Input The first line of input contains the two integers n and m where 0 < n, m <= 500. The next line contains p, the number of vertices in the polygon, where 3 <= p <= 8. Each of the next p lines contains two integers x and y where 0 < x < n and 0 < y < m, specifying the vertices of the polygon. The vertices are listed in clockwise order. You may assume that the polygon does not intersect itself, and that no three consecutive vertices are colinear. Output Print the minimum total length of cuts required to cut out the given polygon, accurate to 3 decimal places. Sample Input 100 100 4 80 80 70 30 20 20 20 80 Sample Output Minimum total length = 312.575Source 样例输入100 100 4 80 80 70 30 20 20 20 80 样例输出Minimum total length = 312.575作者 |
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