• poj 1328 Radar Installation


    http://poj.org/problem?id=1328

    贪心:

    题意:给定小岛的位置,问最小安装雷达数,雷达有一个半径,覆盖小岛。我竟然看错了题意,雷达都安装在x轴上,我竟然不知道。

    分析:以小岛做一个圆,圆与x轴有2个交点a,b在区间[a,b]选点的问题,就转换区间选点问题,在小白书1的153页,先把区间b从小到大排序,取最后一个点。

                                                                                           Radar Installation
    Time Limit: 1000MS   Memory Limit: 10000K
    Total Submissions: 55095   Accepted: 12415

    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
     1 #include<iostream>
     2 #include<cstdio>
     3 #include<cstring>
     4 #include<algorithm>
     5 #include<cmath>
     6 using namespace std;
     7 struct node
     8 {
     9     double x,y;
    10 }a[1005];
    11 bool cmp(node d,node c)
    12 {
    13     return d.y<c.y;
    14 }
    15 int main()
    16 {
    17     int n,i,j,t=1,flag,ans;
    18     double d,r,w;
    19     while(~scanf("%d%lf",&n,&r))
    20     {
    21             ans=1;
    22            flag=0;
    23         if(n==0&&r==0)
    24              break;
    25         for(i=0;i<n;i++)
    26         {
    27             scanf("%lf%lf",&w,&d);
    28             if((r*r-d*d)<0)
    29                 flag=1;
    30              a[i].x=w-sqrt(r*r-d*d);
    31               a[i].y=w+sqrt(r*r-d*d);
    32         }
    33           if(flag||r<=0)
    34            {
    35                 printf("Case %d: -1
    ",t++);
    36                 continue;
    37            }
    38         sort(a,a+n,cmp);
    39         double temp=a[0].y;
    40         for(i=1;i<n;i++)
    41         {
    42             if(a[i].x>temp)
    43               {
    44                   ans++;
    45                   temp=a[i].y;
    46               }
    47         }
    48         printf("Case %d: %d
    ",t++,ans);
    49     }
    50     return n;
    51 }
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  • 原文地址:https://www.cnblogs.com/cancangood/p/4138541.html
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