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poj1328Radar Installation(贪心―区间选点)
2015-07-20 18:02:58 来源: 作者: 【 】 浏览:2
Tags:poj1328Radar Installation 贪心 区间 选点

题目链接:

啊哈哈,点我点我

题目:

Radar Installation
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 52037 Accepted: 11682

Description

Assume the coasting is an infinite straight line. Land is in one side of coasting, sea in the other. Each small island is a point locating in the sea side. And any radar installation, locating on the coasting, can only cover d distance, so an island in the sea can be covered by a radius installation, if the distance between them is at most d.

We use Cartesian coordinate system, defining the coasting is the x-axis. The sea side is above x-axis, and the land side below. Given the position of each island in the sea, and given the distance of the coverage of the radar installation, your task is to write a program to find the minimal number of radar installations to cover all the islands. Note that the position of an island is represented by its x-y coordinates.
\
Figure A Sample Input of Radar Installations


Input

The input consists of several test cases. The first line of each case contains two integers n (1<=n<=1000) and d, where n is the number of islands in the sea and d is the distance of coverage of the radar installation. This is followed by n lines each containing two integers representing the coordinate of the position of each island. Then a blank line follows to separate the cases.

The input is terminated by a line containing pair of zeros

Output

For each test case output one line consisting of the test case number followed by the minimal number of radar installations needed. "-1" installation means no solution for that case.

Sample Input

3 2
1 2
-3 1
2 1

1 2
0 2

0 0

Sample Output

Case 1: 2
Case 2: 1

Source

Beijing 2002

这道题目是贪心里面的区间选点问题。。贪心策略是:选区间的最右端的点.

思路:首先抽象出这个模型,以海岛为圆心,雷达距离为半径,求出在陆地上的区间,则雷达选在

这个区间之类那么必定能够扫描到这个海岛。。求出所有区间后,就转化成区间选点问题。。

还有就是代码中的那个标准end要用double,我wa了好久。。。

代码为:

#include
  
   
#include
   
     #include
    
      #include
     
       #define INF 0x3f3f3f3f using namespace std; const int maxn=1000+10; struct Line { double le,ri; }line[maxn]; bool cmp(Line a,Line b) { if(a.ri!=b.ri) return a.ri
      
       b.le; } int main() { bool ok; int u,v,cas=1; int cnt; double End; int n,d; while(~scanf("%d%d",&n,&d)) { if(n==0&&d==0) return 0; cnt=0; ok=false; for(int i=1;i<=n;i++) { scanf("%d%d",&u,&v); if(v>d) ok=true; else { line[i].le=(double)u-sqrt((double)(d*d-v*v)); line[i].ri=(double)u+sqrt((double)(d*d-v*v)); } } if(ok) printf("Case %d: -1\n",cas++); else { sort(line+1,line+1+n,cmp); cnt=0; End=-INF; for(int i=1;i<=n;i++) { if(line[i].le>End) { cnt++; End=line[i].ri; } } printf("Case %d: %d\n",cas++,cnt); } } return 0; } 
      
     
    
   
  


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