网络流

来源:互联网 发布:java b2b 开源 编辑:程序博客网 时间:2024/06/04 23:29
#include <queue>#include <stdio.h>#include <string.h>#include<iostream>using namespace std;#define N 1005#define M 40005#define INF 0x7fffffff#define min(a,b) a < b ?  a : b#define CLR(a,v) memset(a,v,sizeof(a))struct Vertex{    int head;}V[N];struct Edge{    int v,c,f,next;    Edge(){}    Edge(int v,int c,int f,int ne):v(v),c(c),f(f),next(ne){}}E[M];int d[N],pre[N],cur[N],gap[N];int top,s,t,n,m;void Init(){    top = 0;    CLR(V,-1);}void Add_edge(int u,int v,int c){    E[top] = Edge(v,c,0,V[u].head);    V[u].head = top++;    E[top] = Edge(u,0,0,V[v].head);    V[v].head = top++;}void set_d(){    queue<int> Q;    CLR(d,-1);    CLR(gap,0);    d[t] = 0;    Q.push(t);    while(!Q.empty())    {        int v = Q.front();        Q.pop();        ++gap[ d[v] ];        for(int i=V[v].head;i!=-1;i=E[i].next)        {            int u = E[i].v;           // cout<<u<<endl;            if(d[u] == -1)            {                d[u] = d[v]+1;                Q.push(u);            }        }    }}int Sap(){    set_d();                                        //You can replace it with "CLR(d,0)" if you feel it trouble    int MaxFlow = 0, u = s;    int flow = INF;// cout<<s<<endl;   // cout<<d[s]<<n<<endl;    memcpy(cur,V,sizeof(V));                        //current arc    while(d[s] < n)    {        int &i = cur[u];                            //reference        for(;i!=-1;i=E[i].next)        {            int v = E[i].v;            if(E[i].c > E[i].f && d[u] == d[v]+1)  //admissible arc            {                u = v;                pre[v] = i;                flow = min(flow,E[i].c-E[i].f);               ;                if(u == t)                {                    while(u != s)                    {                        int j = pre[u];                        E[j].f   += flow;                        E[j^1].f -= flow;                        u = E[j^1].v;                    }                   // cout<<flow<<endl;                    MaxFlow = max(MaxFlow,flow);                    flow = INF;                }                break;            }        }        if(i == -1)                                //there's no admissible arc.        {            if(--gap[ d[u] ] == 0)                break;            int dmin = n-1;            cur[u] = V[u].head;            for(int j=V[u].head;j!=-1;j=E[j].next)                if(E[j].c > E[j].f)                //not full arc                    dmin = min(dmin,d[ E[j].v ]);            d[u] = dmin+1;            ++gap[ d[u] ];            if(u != s)                u = E[ pre[u]^1 ].v;        }    }   // cout<<MaxFlow<<endl;    return MaxFlow;}char str[1008][100];int cn;int fun(char a[]){    for(int i=1;i<=cn;i++)    {        if(strcmp(a,str[i]) == 0)            return i;    }    strcpy(str[++cn],a);    return  cn;}int main(){   int cas = 1;    char a[1000],b[1000];    while(~scanf("%d%d",&n,&m),n||m)    {        int w;        cn = 0;        Init();        while(m--)        {            scanf("%s%s%d",a,b,&w);            int x = fun(a);            int y = fun(b);            Add_edge(x,y,w);            Add_edge(y,x,w);            // cout<<x<<y<<endl;        }        scanf("%s%s",a,b);        s = fun(a);        t = fun(b);        printf("Scenario #%d\n",cas++);        printf("%d tons\n",Sap());        puts("");    }}

#include<cstdio>#include<cstring>#include<queue>#include<algorithm>#define N 505#define inf 999999999using namespace std;int n,m,s,t,dis[N],pre[N],gap[N],flow[N][N];struct edge{int v,w;edge *next,*rev;edge(){next=0;}edge(int vv,int ww,edge *e){v=vv;w=ww;next=e;}}*adj[N],*path[N],*e;void insert(int u,int v,int w){edge *p=new edge(v,w,adj[u]);adj[u]=p;edge *q=new edge(u,0,adj[v]);adj[v]=q;p->rev=q;q->rev=p;}void bfs(){memset(dis,0x7f,sizeof(dis));memset(gap,0,sizeof(gap));queue<int> q;dis[t]=0;gap[0]=1;q.push(t);while(q.size()){int x=q.front();q.pop();for(e=adj[x];e;e=e->next){if(e->rev->w==0||dis[e->v]<t)continue;dis[e->v]=dis[x]+1;++gap[dis[e->v]];q.push(e->v);}}}int ISAP(){memset(dis,0,sizeof(dis));memset(gap,0,sizeof(gap));//bfs();int ans=0,u=s,d;while(dis[s]<=t){if(u==t){int minflow=-1u>>1;for(e=path[u];u!=s;e=path[u=pre[u]])minflow=min(minflow,e->w);for(e=path[u=t];u!=s;e=path[u=pre[u]]){e->w-=minflow;e->rev->w+=minflow;flow[pre[u]][u]+=minflow;flow[u][pre[u]]-=minflow;}ans+=minflow;}for(e=adj[u];e;e=e->next)if(e->w>0&&dis[u]==dis[e->v]+1)break;if(e){pre[e->v]=u;path[e->v]=e;u=e->v;}else{if(--gap[dis[u]]==0)break;for(d=t,e=adj[u];e;e=e->next)if(e->w>0)d=min(d,dis[e->v]);dis[u]=d+1;++gap[dis[u]];if(u!=s)u=pre[u];}}return ans;}int main(){int u,v,w;while(~scanf("%d%d",&m,&n)){memset(adj,0,sizeof(adj));while(m--){scanf("%d%d%d",&u,&v,&w);insert(u,v,w);//insert(v,u,w);//无向边}s=1;t=n;printf("%d\n",ISAP());}}

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