Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register

Re:谁能说一下这道题的题意?

Posted by xieweibbz at 2012-03-31 20:00:34 on Problem 1584
In Reply To:谁能说一下这道题的题意? Posted by:WAkeeper8 at 2009-02-23 17:37:51
> rt
题意:已知一个多边形的n个顶点坐标,然后再给一个钉子,给定钉子的半径和圆心坐标,首先判断多边形是否为凸多边形,若为凸多边形,再判断钉子是否可以放到凸多边形内部。
 
思路:很好的计算几何。
1.由于顶点给出的顺序可能为逆时针或顺时针,所以在判断是否为凸边变形,利用叉积的性质,每个点依次扫描看是否都顺着同一的方向转动。
2.判断圆(钉子)是否在多边形内部,第一步判断圆心是否在凸多边形内部(以圆心为定点扫描一周),第二步再判断圆心到某一边的最短距离,若存在某最短距离大于圆心,则圆不能放在凸多边内。

Followed by:

Post your reply here:
User ID:
Password:
Title:

Content:

Home Page   Go Back  To top


All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator