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;
}
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