uva 10012

题目意思:  给定m个圆的半径,现在要求找到一个矩形使得每一个球都以地面相切,要求输出最小的矩阵的长度

 1 #include <iostream>
 2 #include <algorithm>
 3 #include <cstring>
 4 #include <cstdlib>
 5 #include <cstdio>
 6 #include <cmath>
 7 using namespace std;
 8 int num;
 9 bool vis[10];
10 double a[8], c[8], l[8], _max;
11 double sqr(double r)
12 {
13     return r*r;
14 }
15 
16 void dfs(int cnt, double len)
17 {
18     if(len > _max)
19         return ;
20     if(cnt == num)
21     {
22         double ll = c[0];
23         len += c[cnt - 1];
24         for(int i = 0; i < num - 1; i++)
25             if(l[i] + c[i] > len)
26                 len = l[i] + c[i];
27         for(int i = 1; i < num; i++)
28             if(c[i] - l[i] > ll)
29                 ll = c[i] - l[i];
30         len += ll;
31         if(len < _max)
32             _max = len;
33         return ;
34     }
35     for(int i = 0; i < num; i++)
36     {
37         if(vis[i]) continue;
38         vis[i] = true;
39         c[cnt] = a[i];
40         l[cnt] = c[cnt];
41         for(int j = cnt - 1; j >= 0; j--)
42         {
43             double dis = l[j] + sqrt(sqr(c[j]+c[cnt])-sqr(c[j]-c[cnt]));
44             if(dis > l[cnt])
45                 l[cnt] = dis;
46         }
47         dfs(cnt + 1, l[cnt]);
48         vis[i] = false;
49     }
50 }
51 int main()
52 {
53     int n;
54     scanf("%d", &n);
55     memset(vis, 0, sizeof(vis));
56     while(n--)
57     {
58         _max = 0x7FFFFFFF;
59         scanf("%d", &num);
60         for(int i = 0; i < num; i++)
61             scanf("%lf", &a[i]);
62         for(int i = 0; i < num; i++)
63         {
64             vis[i] = true;
65             l[0] = 0;
66             c[0] = a[i];
67             dfs(1, 0);
68             vis[i] = false;
69         }
70         printf("%.3lf
", _max);
71     }
72     return 0;
73 }
View Code
原文地址:https://www.cnblogs.com/fanminghui/p/4019696.html