ISAP

跑的是比Dinic快辣。

更新:指针版。。。。

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cmath>
 4 #include<algorithm>
 5 #include<queue>
 6 #include<cstring>
 7 #define PAU putchar(' ')
 8 #define ENT putchar('
')
 9 using namespace std;
10 const int maxn=100000+10,maxm=2000000+10,inf=-1u>>1;
11 struct ISAP{
12     struct ted{int x,y,w;ted*nxt,*re;}adj[maxm],*fch[maxn],*cur[maxn],*ret[maxn],*ms;
13     int gap[maxn],d[maxn],S,T,n;
14     void init(int n){
15         this->n=n;ms=adj;memset(d,-1,sizeof(d));return;
16     }
17     void ade(int u,int v,int w){
18         *ms=(ted){u,v,w,fch[u],ms+1};fch[u]=ms++;
19         *ms=(ted){v,u,0,fch[v],ms-1};fch[v]=ms++;
20         return;
21     }
22     void bfs(){
23         queue<int>Q;Q.push(T);d[T]=0;
24         while(!Q.empty()){
25             int u=Q.front();Q.pop();
26             for(ted*e=fch[u];e;e=e->nxt){
27                 int v=e->y;if(d[v]<0) d[v]=d[u]+1,Q.push(v);
28             }
29         } return;
30     }
31     int flow(int S,int T){
32         int k=S,flow=0;ted*e;
33         for(int i=1;i<=n;i++) cur[i]=fch[i];
34         while(d[S]<n){
35             if(k==T){
36                 int mi=inf;
37                 for(int i=S;i!=T;i=cur[i]->y) if(cur[i]->w<mi) mi=cur[i]->w;
38                 for(int i=S;i!=T;i=cur[i]->y) cur[i]->w-=mi,cur[i]->re->w+=mi;
39                 flow+=mi;k=S;
40             }
41             for(e=cur[k];e;e=e->nxt) if(e->w>0&&d[k]==d[e->y]+1) break;
42             if(e) cur[k]=e,ret[e->y]=e->re,k=e->y;
43             else{
44                 if(--gap[d[k]]==0) break;cur[k]=fch[k];int lim=n;
45                 for(ted*e=fch[k];e;e=e->nxt) if(e->w&&d[e->y]<lim) lim=d[e->y];
46                 d[k]=lim+1;gap[d[k]]++;if(k!=S) k=ret[k]->y;
47             }
48         } return flow;
49     }
50 }sol;
51 inline int read(){
52     int x=0,sig=1;char ch=getchar();
53     while(!isdigit(ch)){if(ch=='-')sig=-1;ch=getchar();}
54     while(isdigit(ch))x=10*x+ch-'0',ch=getchar();
55     return x*=sig;
56 }
57 inline void write(int x){
58     if(x==0){putchar('0');return;}if(x<0)putchar('-'),x=-x;
59     int len=0,buf[15];while(x)buf[len++]=x%10,x/=10;
60     for(int i=len-1;i>=0;i--)putchar(buf[i]+'0');return;
61 }
62 int n,m;
63 void init(){
64     n=read();m=read();sol.init(n);
65     int x,y,w;
66     while(m--) x=read(),y=read(),w=read(),sol.ade(x,y,w);
67     write(sol.flow(1,n));
68     return;
69 }
70 void work(){
71     return;
72 }
73 void print(){
74     return;
75 }
76 int main(){init();work();print();return 0;}

数组版:

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cmath>
 4 #include<algorithm>
 5 #include<queue>
 6 #include<cstring>
 7 #define PAU putchar(' ')
 8 #define ENT putchar('
')
 9 using namespace std;
10 const int maxn=100000+10,maxm=2000000+10,inf=-1u>>1;
11 struct ISAP{
12     struct tedge{int x,y,w,next;}adj[maxm];int ms,fch[maxn];
13     int gap[maxn],s[maxn],cur[maxn],d[maxn],S,T,top,n;
14     void init(int n){
15         this->n=n;ms=0;top=0;
16         memset(fch,-1,sizeof(fch));
17         memset(d,-1,sizeof(d));
18         return;
19     }
20     void addedge(int w,int v,int u){
21         adj[ms]=(tedge){u,v,w,fch[u]};fch[u]=ms++;
22         adj[ms]=(tedge){v,u,0,fch[v]};fch[v]=ms++;
23         return;
24     }
25     void bfs(){
26         queue<int>Q;Q.push(T);d[T]=0;
27         while(!Q.empty()){
28             int u=Q.front();Q.pop();
29             for(int i=fch[u];i!=-1;i=adj[i].next){
30                 int v=adj[i].y;
31                 if(d[v]==-1) d[v]=d[u]+1,Q.push(v);
32             }
33         } return;
34     }
35     int maxflow(int S,int T){
36         this->S=S;this->T=T;bfs();int k=S,i,flow=0;
37         for(i=1;i<=n;i++) cur[i]=fch[i],gap[d[i]]++;
38         while(d[S]<n){
39             if(k==n){
40                 int mi=inf,pos;
41                 for(i=0;i<top;i++) if(adj[s[i]].w<mi) mi=adj[s[i]].w,pos=i;
42                 for(i=0;i<top;i++) adj[s[i]].w-=mi,adj[s[i]^1].w+=mi;
43                 flow+=mi;top=pos;k=adj[s[top]].x;
44             }
45             for(i=cur[k];i!=-1;i=adj[i].next){
46                 int v=adj[i].y;
47                 if(adj[i].w&&d[k]==d[v]+1){cur[k]=i;k=v;s[top++]=i;break;}
48             }
49             if(i==-1){
50                 int lim=n;
51                 for(i=fch[k];i!=-1;i=adj[i].next){
52                     int v=adj[i].y;
53                     if(adj[i].w&&d[v]<lim) lim=d[v],cur[k]=i;
54                 } if(--gap[d[k]]==0) break;
55                 d[k]=lim+1;gap[d[k]]++;
56                 if(k!=S) k=adj[s[--top]].x;
57             }
58         } return flow;
59     }
60 }sol;
61 inline int read(){
62     int x=0,sig=1;char ch=getchar();
63     while(!isdigit(ch)){if(ch=='-') sig=-1;ch=getchar();}
64     while(isdigit(ch)) x=10*x+ch-'0',ch=getchar();
65     return x*=sig;
66 }
67 inline void write(int x){
68     if(x==0){putchar('0');return;}if(x<0) putchar('-'),x=-x;
69     int len=0,buf[15];while(x) buf[len++]=x%10,x/=10;
70     for(int i=len-1;i>=0;i--) putchar(buf[i]+'0');return;
71 }
72 void init(){
73     int n=read(),m=read();sol.init(n);
74     while(m--) sol.addedge(read(),read(),read());
75     write(sol.maxflow(1,n));
76     return;
77 }
78 void work(){
79     return;
80 }
81 void print(){
82     return;
83 }
84 int main(){
85     init();work();print();return 0;
86 }
原文地址:https://www.cnblogs.com/chxer/p/4525038.html