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
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.
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
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\n",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\n",t++,ans); 49 } 50 return n; 51 }