hdu 1532:Drainage Ditches

Posted 2020-10-02 HWIM

Drainage Ditches

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 18648    Accepted Submission(s): 8845

Problem Description

Every time it rains on Farmer John‘s fields, a pond forms over Bessie‘s favorite clover patch. This means that the clover is covered by water for awhile and takes quite a long time to regrow. Thus, Farmer John has built a set of drainage ditches so that Bessie‘s clover patch is never covered in water. Instead, the water is drained to a nearby stream. Being an ace engineer, Farmer John has also installed regulators at the beginning of each ditch, so he can control at what rate water flows into that ditch.
Farmer John knows not only how many gallons of water each ditch can transport per minute but also the exact layout of the ditches, which feed out of the pond and into each other and stream in a potentially complex network.
Given all this information, determine the maximum rate at which water can be transported out of the pond and into the stream. For any given ditch, water flows in only one direction, but there might be a way that water can flow in a circle.

 

 

Input

The input includes several cases. For each case, the first line contains two space-separated integers, N (0 <= N <= 200) and M (2 <= M <= 200). N is the number of ditches that Farmer John has dug. M is the number of intersections points for those ditches. Intersection 1 is the pond. Intersection point M is the stream. Each of the following N lines contains three integers, Si, Ei, and Ci. Si and Ei (1 <= Si, Ei <= M) designate the intersections between which this ditch flows. Water will flow through this ditch from Si to Ei. Ci (0 <= Ci <= 10,000,000) is the maximum rate at which water will flow through the ditch.

 

 

Output

For each case, output a single integer, the maximum rate at which water may emptied from the pond.

 

 

Sample Input

5 4 1 2 40 1 4 20 2 4 20 2 3 30 3 4 10

 

 

Sample Output

50

 

code

题目多组测试数据！！！

每组数据的初始化变量数组！！！

n才是边！！！

 1 #include<cstdio>
 2 #include<algorithm>
 3 #include<cstring>
 4 #include<queue>
 5 
 6 using namespace std;
 7 
 8 const int INF = 100000;
 9 const int MAXN = 2100;
10 struct Edge{
11     int to,nxt,c;
12 }e[MAXN];
13 int head[MAXN],dis[MAXN];
14 int tot,s,t;
15 queue<int>q;
16 
17 inline int read()
18 {
19     int x = 0,f = 1;char ch = getchar();
20     for (; ch<‘0‘||ch>‘9‘; ch = getchar())
21         if (ch==‘-‘) f = -1;
22     for (; ch>=‘0‘&&ch<=‘9‘; ch = getchar())
23         x = x*10+ch-‘0‘;
24     return x*f;
25 }
26 inline void add_edge(int u,int v,int w)
27 {
28     ++tot;
29     e[tot].to = v,e[tot].nxt = head[u],e[tot].c = w;
30     head[u] = tot;
31     ++tot;
32     e[tot].to = u,e[tot].nxt = head[v],e[tot].c = 0;
33     head[v] = tot;
34 }
35 inline bool bfs()
36 {
37     memset(dis,-1,sizeof(dis));
38     q.push(s);
39     dis[s] = 0;
40     while (!q.empty())
41     {
42         int u = q.front();
43         q.pop();
44         for (int i=head[u]; i; i=e[i].nxt)
45         {
46             int v = e[i].to;
47             if (dis[v]==-1 && e[i].c>0)
48             {
49                 dis[v] = dis[u]+1;
50                 q.push(v); 
51             }
52         }
53     }
54     if (dis[t]!=-1) return true;
55     return false;
56 }
57 int dfs(int u,int cp)
58 {
59     if (u==t) return cp;
60     int w,tmp = cp;
61     for (int i=head[u]; i; i=e[i].nxt)
62     {
63         int v = e[i].to;
64         if (dis[v]==dis[u]+1 && e[i].c>0)
65         {
66             w = dfs(v,min(cp,e[i].c));
67             e[i].c -= w;
68             e[i^1].c += w;
69             cp -= w; 
70         }
71     }
72     return tmp-cp;
73 }
74 int main()
75 {
76     int n,m,ans;
77     while (scanf("%d%d",&n,&m)!=EOF)
78     {
79         memset(head,0,sizeof(head));//初始化 
80         tot = 1;
81         s = 1,t = m;
82         for (int x,y,z,i=1; i<=n; ++i)
83         {
84             x = read(),y = read(),z = read();
85             add_edge(x,y,z);
86         }
87         ans = 0;
88         while (bfs())
89             ans += dfs(s,INF);
90         printf("%d\n",ans);
91     }
92     return 0;
93 }