otto collect ica splay map get spl c program 代碼

題目鏈接：https://vjudge.net/problem/HDU-4185

Oil Skimming

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 3016 Accepted Submission(s): 1262

Problem Description Thanks to a certain "green" resources company, there is a new profitable industry of oil skimming. There are large slicks of crude oil floating in the Gulf of Mexico just waiting to be scooped up by enterprising oil barons. One such oil baron has a special plane that can skim the surface of the water collecting oil on the water‘s surface. However, each scoop covers a 10m by 20m rectangle (going either east/west or north/south). It also requires that the rectangle be completely covered in oil, otherwise the product is contaminated by pure ocean water and thus unprofitable! Given a map of an oil slick, the oil baron would like you to compute the maximum number of scoops that may be extracted. The map is an NxN grid where each cell represents a 10m square of water, and each cell is marked as either being covered in oil or pure water.

Input The input starts with an integer K (1 <= K <= 100) indicating the number of cases. Each case starts with an integer N (1 <= N <= 600) indicating the size of the square grid. Each of the following N lines contains N characters that represent the cells of a row in the grid. A character of ‘#‘ represents an oily cell, and a character of ‘.‘ represents a pure water cell.

Output For each case, one line should be produced, formatted exactly as follows: "Case X: M" where X is the case number (starting from 1) and M is the maximum number of scoops of oil that may be extracted.

Sample Input 1 6 ...... .##... .##... ....#. ....## ......

Sample Output Case 1: 3

Source The 2011 South Pacific Programming Contest

Recommend lcy

題解：

1.首先為每個油田編號。然後對於當前的油田， 如果它的上面有油田，則在這兩個油田之間連一條邊，同理其他三個方向。

2.利用匈牙利算法求出最大匹配數，即為答案。

代碼如下：

 1 #include <iostream>
 2 #include <cstdio>
 3 #include <cstring>
 4 #include <cstdlib>
 5 #include <string>
 6 #include <vector>
 7 #include <map>
 8 #include <set>
 9 #include <queue>
10 #include <sstream>
11 #include <algorithm>
12 using namespace std;
13 const int INF = 2e9;
14 const int MOD = 1e9+7;
15 const int MAXN = 600+10;
16 
17 int n, N;
18 char a[MAXN][MAXN];
19 int M[MAXN][MAXN], id[MAXN][MAXN], link[MAXN];
20 bool vis[MAXN];
21 
22 bool dfs(int u)
23 {
24     for(int i = 1; i<=N; i++)
25     if(M[u][i] && !vis[i])
26     {
27         vis[i] = true;
28         if(link[i]==-1 || dfs(link[i]))
29         {
30             link[i] = u;
31             return true;
32         }
33     }
34     return false;
35 }
36 
37 int hungary()
38 {
39     int ret = 0;
40     memset(link, -1, sizeof(link));
41     for(int i = 1; i<=N; i++)
42     {
43         memset(vis, 0, sizeof(vis));
44         if(dfs(i)) ret++;
45     }
46     return ret;
47 }
48 
49 int main()
50 {
51     int T;
52     scanf("%d", &T);
53     for(int kase = 1; kase<=T; kase++)
54     {
55         scanf("%d", &n);
56         N = 0;
57         memset(id, -1, sizeof(id));
58         for(int i = 1; i<=n; i++)
59         {
60             scanf("%s", a[i]+1);
61             for(int j = 1; j<=n; j++)   //為每個油田編號
62                 if(a[i][j]==‘#‘)
63                     id[i][j] = ++N;
64         }
65 
66         memset(M, false, sizeof(M));
67         for(int i = 1; i<=n; i++)
68         for(int j = 1; j<=n; j++)
69         {
70             if(id[i][j]==-1) continue;
71             if(j!=1 && id[i][j-1]!=-1) M[id[i][j]][id[i][j-1]] = true;
72             if(j!=n && id[i][j+1]!=-1) M[id[i][j]][id[i][j+1]] = true;
73             if(i!=1 && id[i-1][j]!=-1) M[id[i][j]][id[i-1][j]] = true;
74             if(i!=n && id[i+1][j]!=-1) M[id[i][j]][id[i+1][j]] = true;
75         }
76 
77         int ans = hungary()/2;
78         printf("Case %d: %d\n", kase, ans);
79     }
80 }

View Code

HDU4185 Oil Skimming —— 最大匹配