HDU 3549（網路流）

Flow Problem

Time Limit: 5000/5000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 123    Accepted Submission(s): 78

Problem DescriptionNetwork flow is a well-known difficult problem for ACMers. Given a graph, your task is to find out the maximum flow for the weighted directed graph. 

 

InputThe first line of input contains an integer T, denoting the number of test cases.
For each test case, the first line contains two integers N and M, denoting the number of vertexes and edges in the graph. (2 <= N <= 15, 0 <= M <= 1000)
Next M lines, each line contains three integers X, Y and C, there is an edge from X to Y and the capacity of it is C. (1 <= X, Y <= N, 1 <= C <= 1000) 

 

OutputFor each test cases, you should output the maximum flow from source 1 to sink N. 

 

Sample Input

23 21 2 12 3 13 31 2 12 3 11 3 1

 

 

Sample Output

Case 1: 1Case 2: 2

 

#include <iostream><br />using namespace std;</p><p>const int maxn=150000;<br />const int maxm=2000000;<br />const int inf=1<<30;<br />struct edge{int from, to, val, next;}e[maxm];;<br />int v[maxn], que[maxn], dis[maxn],len;<br />void init()<br />{<br /> len=0;<br /> memset(v, -1, sizeof(v));<br />}<br />void insert(int from, int to, int va)<br />{<br /> e[len].from = from, e[len].to = to; e[len].val = va;<br /> e[len].next = v[from];v[from] = len++;<br /> e[len].from = to, e[len].to = from; e[len].val = 0;<br /> e[len].next = v[to];v[to] = len++;<br />}<br />int Dinic(int n, int s, int t)<br />{<br /> int ans = 0;<br /> while(true)<br /> {<br /> int head, tail, id,i;<br /> head = tail = 0; que[tail++] = s;<br /> memset(dis, -1, sizeof(dis)); dis[s] = 0;<br /> while(head < tail)<br /> {<br /> id = v[que[head++]];<br /> while(id != -1)<br /> {<br /> if (e[id].val > 0 && dis[e[id].to] == -1)<br /> {<br /> dis[e[id].to] = dis[e[id].from] + 1;<br /> que[tail++] = e[id].to;<br /> if (e[id].to == t)<br /> {<br /> head = tail;<br /> break;<br /> }<br /> }<br /> id = e[id].next;<br /> }<br /> }<br /> if (dis[t] == -1) break;<br /> id = s, tail = 0;<br /> while(true)<br /> {<br /> if (id == t) // 找到一條增廣路<br /> {<br /> int flow =inf,fir;<br /> for(i = 0; i < tail; i++)<br /> if (e[que[i]].val < flow)<br /> {<br /> fir = i;<br /> flow = e[que[i]].val;<br /> }<br /> for(i = 0; i < tail; i++)<br /> e[que[i]].val -= flow, e[que[i] ^ 1].val += flow;<br /> ans += flow; tail = fir; id = e[que[fir]].from;<br /> }<br /> id = v[id];<br /> while(id != -1)<br /> {<br /> if (e[id].val > 0 && dis[e[id].from] + 1 == dis[e[id].to])<br /> break;<br /> id = e[id].next;<br /> }<br /> if (id != -1)<br /> {<br /> que[tail++] = id;<br /> id = e[id].to;<br /> }<br /> else<br /> {<br /> if (tail == 0) break;<br /> dis[e[que[tail - 1]].to] = -1;<br /> id = e[que[--tail]].from;<br /> }<br /> }<br /> }<br /> return ans;<br />}<br />int main()<br />{<br /> int t,n,m,a,b,c,cas;<br /> while (scanf("%d",&t)!=EOF)<br /> {<br /> cas = 0;<br /> while (t--)<br /> {<br /> init();<br /> scanf("%d%d",&n,&m);<br /> while (m--)<br /> {<br /> scanf("%d%d%d",&a,&b,&c);<br /> insert(a-1,b-1,c);<br /> }<br /> printf("Case %d: %d/n",++cas,Dinic(n,0,n-1));<br /> }<br /> }<br /> return 0;<br />}