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
3 2 1 2 -3 1 2 1 1 2 0 2 0 0
Sample Output
Case 1: 2 Case 2: 1题意:给出坐标点的总数n和雷达辐射半径R,再给你n个坐标,问在X轴上最少需要多少个雷达可以覆盖所有坐标点。思路:待更新。。。。
#include<stdio.h> #include<stdlib.h> #include<math.h> #include<algorithm> using namespace std; #define N 1100 struct node { double x1,x2; }c[N]; double cmp(struct node a,struct node b) { if(a.x1 > b.x1 ) return a.x1 < b.x1 ; } int main() { int i,j,n,R,ans,t=0; double x,y,coords; while(scanf("%d%d",&n,&R),n!=0&&R!=0)//不能用(n+R)作为循环条件,因为3 -3这种情况不满足 { ans = 1; if(R <= 0)//先判断半径是否满足条件 ans = -1; for(i = 1; i <= n; i ++) { scanf("%lf%lf",&x,&y);//坐标是实数 if(fabs(y) > R)//纵坐标大于半径时 不满足条件 { ans = -1; } else { coords = sqrt(R*R-y*y); c[i].x1 = x - coords;//计算与x轴相交的左右端点 c[i].x2 = x + coords; } } if( ans == -1) { printf("Case %d: %d\n",++t,ans); continue; } sort(c+1,c+1+n,cmp);//结构体排序 coords = c[1].x2 ;//初始化为最左坐标的右端点 for(i = 2; i <= n; i ++) { if(c[i].x1 > coords)//如果下一个坐标的左端点大于上一个坐标右端点 说明两者没有公共区间 { ans ++; coords = c[i].x2 ; } else if(c[i].x2 < coords)//如果下一个坐标的右端点小于上一个坐标的右端点,说明存在公共区间 coords = c[i].x2 ; } printf("Case %d: %d\n",++t,ans); } return 0; }