Watering Grass (贪心，最小覆盖)

Posted 2022-03-08 fengzeng666

参考：　　

https://blog.csdn.net/shuangde800/article/details/7828675

https://www.cnblogs.com/haoabcd2010/p/6171794.html?utm_source=itdadao&utm_medium=referral

 

 

 

 1 #include <iostream>
 2 #include <stdio.h>
 3 #include <cstring>
 4 #include <cmath>
 5 #include <algorithm>
 6 
 7 
 8 using namespace std;
 9 
10 struct node
11 
12     double L;
13     double R; 
14 a[10010];
15 
16 bool cmp(node a, node b)
17 
18     return a.R > b.R;
19 
20 
21 void sort_node(int n)
22 
23     for (int i=0;i<n;i++)
24     
25         int k=i;
26         for (int j=i+1;j<n;j++)
27         
28             if (a[j].R>a[k].R)
29                 k=j;
30         
31         swap(a[k],a[i]);
32     
33 
34 
35 int main() 
36 
37     int n;
38     double length, wide;
39     double center, radius;     // c为圆心，r为半径 
40     double t;
41     while(scanf("%d%lf%lf", &n, &length, &wide) != EOF)
42     
43         for(int i = 0; i < n; ++i)
44         
45             cin >> center >> radius;
46             t = sqrt(radius*radius - (wide/2.0)*(wide/2.0));
47             a[i].L = center - t;
48             a[i].R = center + t;    
49         
50         
51         //sort(a, a+n, cmp);    快排不知道为什么不能AC 
52         sort_node(n);
53         
54         double border = 0;
55         int cnt = 0;
56         while(border < length)
57         
58             int i;
59             for(i = 0; i < n; ++i)
60             
61                 if(a[i].L <= border && a[i].R > border)
62                 
63                     border = a[i].R;
64                     cnt++;
65                     break;
66                 
67             
68             
69             if(i == n)    // 如果i==n，说明遍历完了这n个区间，仍然没有找到符合条件的，即不能完全覆盖 
70                 break;
71         
72         
73         if(border < length)
74             cout << -1 << endl;
75         else
76             cout << cnt << endl;
77      
78             
79     return 0;
80