洛谷P1378 油滴扩展

几个需要注意的点.

1. 按照你的算法, 当一个圆包含另一个圆的圆心时, 会出现半径是负数的情况吗?

2. 考虑了点在矩形外的情况吗?

3. 与四个边界比较了大小了吗?

4. 四舍五入了吗?

 1 // luogu-judger-enable-o2
 2 #include <cstdio>
 3 #include <cstring>
 4 #include <iostream>
 5 #include <algorithm>
 6 #include <cmath>
 7 #include <vector>
 8 using namespace std;
 9 const int MAXN = 6 + 3;
10 const int INF = 0x3f3f3f3f;
11 const double PI = 3.1415926535;
12 
13 
14 struct point
15 {
16     double x, y, r;
17 }P[MAXN];
18 
19 int N;
20 point S, T;
21 vector<point> order;
22 
23 inline double dis(point p1, point p2){
24     return sqrt(pow(abs(p1.x - p2.x), 2) + pow(abs(p1.y - p2.y), 2));
25 }
26 
27 double calc()
28 {
29     double siz = abs(S.x - T.x) * abs(S.y - T.y);
30     for(int i = 0; i < (int) order.size(); i++)
31     {
32         point *cur = &order[i];
33         cur->r = INF;
34         for(int j = 0; j < i; j++){
35             point *p = &order[j];
36             cur->r = min(cur->r, max(dis(*cur, *p) - p->r, 0.0));
37         }
38         cur->r = min(cur->r, min(min(abs(cur->x - S.x), abs(cur->y - S.y)), 
39             min(abs(cur->x - T.x), abs(cur->y - T.y))));
40         siz -= (PI * pow(cur->r, 2));
41     }
42     return siz;
43 }
44 
45 int cntp; bool vis[MAXN];
46 double ans;
47 void dfs(int cnt)
48 {
49     if(cnt == cntp + 1) return ans = min(calc(), ans), void();
50     for(int i = 1; i <= cntp; i++){
51         if(!vis[i]){
52             vis[i] = true;
53             order.push_back(P[i]);
54 
55             dfs(cnt + 1);
56 
57             order.pop_back();
58             vis[i] = false;
59         }
60     }
61         
62     return ;
63 }
64 
65 int main()
66 {
67     cin>>N;
68     scanf("%lf %lf %lf %lf", &S.x, &S.y, &T.x, &T.y);
69     if(S.x > T.x) swap(S, T);
70 
71     cntp = 0; memset(vis, false, sizeof(vis));
72     for(int i = 1; i <= N; i++){
73         point p;
74         scanf("%lf %lf", &p.x, &p.y);
75         if(p.x < S.x || p.x > T.x || p.y < min(S.y, T.y) || p.y > max(S.y, T.y)) continue;
76         P[++cntp] = p;
77     }
78     
79     ans = abs(S.x - T.x) * abs(S.y - T.y); 
80     dfs(1);
81 
82     cout<<((int) (ans + 0.5))<<endl;
83     return 0;
84 }
原文地址:https://www.cnblogs.com/wsmrxc/p/9276399.html