poj1328--Radar Installation

Radar Installation

Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 49680 Accepted: 11104

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 21 2-3 12 11 20 20 0

Sample Output

Case 1: 2Case 2: 1

Source

Beijing 2002

小贪心，由左向右遍历一次，对每一个点找出对应的右侧的圆心，由左向右，确定圆心后，判断之后的点会不会包含在已经确定的圆中

#include <stdio.h>#include <math.h>#include <algorithm>using namespace std;struct node{    int x , y ;    double s ;} p[2000];bool cmp(node a,node b){    return a.s < b.s ;}int main(){    int n , b , i , k = 0 ;    while(scanf("%d %d", &n, &b)!=EOF)    {        if(n == 0 && b == 0)            break;        int num = 0 ;        double x  ;        k++ ;        int flag = 1 ;        for(i = 0 ; i < n ; i++)        {            scanf("%d %d", &p[i].x, &p[i].y);            if(p[i].y  > b)                flag = 0 ;            else                p[i].s = p[i].x * 1.0 + sqrt(b*b*1.0 - p[i].y *p[i].y *1.0) ;        }        if(flag == 0)        {            printf("Case %d: -1\n", k);            continue ;        }        sort(p,p+n,cmp);        x = p[0].s ;        num = 1 ;        for(i = 1 ; i < n ; i ++)        {            if( sqrt( p[i].y*p[i].y*1.0 + (x-p[i].x) * (x-p[i].x) *1.0 ) > b )            {                num++ ;                x = p[i].s ;            }        }        printf("Case %d: %d\n", k, num);    }    return 0 ;}