Radar Installation
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 56977 | Accepted: 12847 |
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
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
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
小结:
新的弱项,gets...贪心也不好...
以下是AC代码:
#include<stdio.h> #include<string.h> #include<math.h> #include<algorithm> using namespace std; struct node { double l,r; }point[1500]; int compare(struct node a,struct node b) { return a.l<b.l; } int main() { int n,m,t=0; double x,y; while(scanf("%d%d",&n,&m)!=EOF&&(m+n)) { int ans = 1; for(int i = 0; i < n; i++) { scanf("%lf %lf", &x, &y); if(y > m) ans = -1; point[i].l = x - sqrt(m*m - y*y); point[i].r = x + sqrt(m*m - y*y); } if(ans == -1) { printf("Case %d: -1\n", ++t); continue; } sort(point,point+n,compare); double temp=point[0].r; for(int i=1;i<n;i++) { if(point[i].l>temp) { ans++; temp=point[i].r; } else if(point[i].r<temp) { temp=point[i].r; } } printf("Case %d: %d\n",++t,ans); } return 0; }