POJ-1328 Radar Installation-贪心算法

浏览数：23 / 时间：2015年06月08日

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

Sample Output

Case 1: 2
Case 2: 1

#include<cstdio>
#include<cstring>
#include<cmath> 
#include<iostream>
#include<algorithm>
using namespace std;
struct Island
{
	double left;
	double right;
}island[1100];
bool cmp(Island a,Island b)
{
	return a.left<b.left;
}
int main()
{
	int n,d,i,j,t,temp=0;
	double x,y,fuck;
	while(~scanf("%d%d",&n,&d),n+d)
	{
		int m=0;
		temp++;
		for(i=0;i<n;i++)
		{
			scanf("%lf %lf",&x,&y);
			if(y>d||d<0)
			{
				m=1;
			}
			island[i].left=x-(sqrt(d*d-y*y));
			island[i].right=x+(sqrt(d*d-y*y));
		}
		if(m)
		{
			printf("Case %d: -1\n",temp);
			continue;
		}
		sort(island,island+n,cmp);
		t=1;
		fuck=island[0].right;
		for(i=1;i<n;i++)
		{
			if(island[i].right<=fuck)
			{
				fuck=island[i].right;
			}
			else if(island[i].left>fuck)
			{
				t++;
				fuck=island[i].right;
			}
		}
		printf("Case %d: %d\n",temp,t);
	}
	return 0;
}

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POJ-1328 Radar Installation-贪心算法