编程介的小学生 2017-04-27 03:21 采纳率: 20.5%
浏览 746
已采纳

Polylops

Given the vertices of a non-degenerate polygon (no 180-degree angles, zero-length sides, or self-intersection - but not necessarily convex), you must determine how many distinct lines of symmetry exist for that polygon. A line of symmetry is one on which the polygon, when reflected on that line, maps to itself.

Input

Input consists of a description of several polygons.

Each polygon description consists of two lines. The first contains the integer "n" (3 <= n <= 1000), which gives the number of vertices on the polygon. The second contains "n" pairs of numbers (an x- and a y-value), describing the vertices of the polygon in order. All coordinates are integers from -1000 to 1000.

Input terminates on a polygon with 0 vertices.

Output

For every polygon described, print out a line saying "Polygon #x has y symmetry line(s).", where x is the number of the polygon (starting from 1), and y is the number of distinct symmetry lines on that polygon.

Sample Input

4
-1 0 0 2 1 0 0 -1
3
-666 -42 57 -84 19 282
3
-241 -50 307 43 -334 498
0

Sample Output

Polygon #1 has 1 symmetry line(s).
Polygon #2 has 0 symmetry line(s).
Polygon #3 has 1 symmetry line(s).

  • 写回答

1条回答 默认 最新

  • threenewbee 2017-05-11 15:51
    关注
    本回答被题主选为最佳回答 , 对您是否有帮助呢?
    评论

报告相同问题?

悬赏问题

  • ¥15 C++使用Gunplot
  • ¥15 这个电路是如何实现路灯控制器的,原理是什么,怎么求解灯亮起后熄灭的时间如图?
  • ¥15 matlab数字图像处理频率域滤波
  • ¥15 在abaqus做了二维正交切削模型,给刀具添加了超声振动条件后输出切削力为什么比普通切削增大这么多
  • ¥15 ELGamal和paillier计算效率谁快?
  • ¥15 file converter 转换格式失败 报错 Error marking filters as finished,如何解决?
  • ¥15 Arcgis相交分析无法绘制一个或多个图形
  • ¥15 关于#r语言#的问题:差异分析前数据准备,报错Error in data[, sampleName1] : subscript out of bounds请问怎么解决呀以下是全部代码:
  • ¥15 seatunnel-web使用SQL组件时候后台报错,无法找到表格
  • ¥15 fpga自动售货机数码管(相关搜索:数字时钟)