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POJ-1328 Radar Installation-贪心算法
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
#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; }
POJ-1328 Radar Installation-贪心算法
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