//邻接矩阵
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int inf=(1<<30);
const int point_num=300;
int cap[point_num][point_num],dist[point_num],gap[point_num];//初始化见main里面
int s0,t0,n;//源,汇和建图后点数(0-n-1)
int find_path(int p,int limit=0x3f3f3f3f)
{
if(p==t0) return limit;
for(int i=0;i<n;i++)
if(dist[p]==dist[i]+1 && cap[p][i]>0)
{
int t=find_path(i,min(cap[p][i],limit));
if(t<0) return t;
if(t>0)
{
cap[p][i]-=t;
cap[i][p]+=t;
return t;
}
}
int label=n;
for(int i=0;i<n;i++) if(cap[p][i]>0) label=min(label,dist[i]+1);
if(--gap[dist[p]]==0 || dist[s0]>=n ) return -1;
++gap[dist[p]=label];
return 0;
}
int sap()
{
//初始化s,t
s0=0,t0=n-1;
int t=0,maxflow=0;
gap[0]=n;
while((t=find_path(s0))>=0) maxflow+=t;
return maxflow;
}
int pig[1100];
int vis[1100];
int main()
{
int m;
while(scanf("%d%d",&m,&n)==2)
{
//初始化
memset(cap,0,sizeof(cap));
memset(dist,0,sizeof(dist));
memset(gap,0,sizeof(gap));
//初始化cap 重新赋值n
printf("%d\n",sap());
}
return 0;
}
邻接表 较慢
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
const int inf=(1<<28);
using namespace std;
#define maxn 500000
struct edge
{
int u,v,next,f,pre;
}e[2*maxn];
int num,rnum;
int head[maxn],rhead[maxn];
int d[maxn];
int numb[maxn];
int start[maxn];
int n,m;//见图后的点数(1->n)和原图边数
int p[maxn];
int source,sink;
//要初始化source 和 sink,重定义n
void Init()
{
memset(head,-1,sizeof(head));
memset(rhead,-1,sizeof(rhead));
memset(p,-1,sizeof(p));
num=0;
return ;
}
void BFS()
{
int i,j;
for(i=1;i<=n;i++)
{
d[i]=n;
numb[i]=0;
}
int Q[maxn],head(0),tail(0);
d[sink]=0;
numb[0]=1;
Q[++tail]=sink;
while(head<tail)
{
i=Q[++head];
for(j=rhead[i];j!=-1;j=e[j].pre)
{
if(e[j].f==0||d[e[j].u]<n)
continue;
d[e[j].u]=d[i]+1;
numb[d[e[j].u]]++;
Q[++tail]=e[j].u;
}
}
return ;
}
int Augment()
{
int i;
int tmp=inf;
for(i=p[sink];i!=-1;i=p[e[i].u])
{
if(tmp>e[i].f)
tmp=e[i].f;
}
for(i=p[sink];i!=-1;i=p[e[i].u])
{
e[i].f-=tmp;
e[i^1].f+=tmp;
}
return tmp;
}
int Retreat(int &i)
{
int tmp,j,mind(n-1);
for(j=head[i];j!=-1;j=e[j].next)
{
if(e[j].f>0&&d[e[j].v]<mind)
mind=d[e[j].v];
}
tmp=d[i];
d[i]=mind+1;
numb[tmp]--;
numb[d[i]]++;
if(i!=source)
i=e[p[i]].u;
return numb[tmp];
}
int maxflow()
{
int flow(0),i,j;
BFS();
for(i=1;i<=n;i++)
start[i]=head[i];
i=source;
while(d[source]<n)
{
for(j=start[i];j!=-1;j=e[j].next)
if(e[j].f>0&&d[i]==d[e[j].v]+1)
break;
if(j!=-1)
{
start[i]=j;
p[e[j].v]=j;
i=e[j].v;
if(i==sink)
{
flow+=Augment();
i=source;
}
}
else
{
start[i]=head[i];
if(Retreat(i)==0)
break;
}
}
return flow;
}
//a->b=c;
void addedge(int a,int b,int c)
{
e[num].next=head[a];
head[a]=num;
e[num].pre=rhead[b];
rhead[b]=num;
e[num].f=c;
e[num].u=a;
e[num++].v=b;
e[num].next=head[b];
head[b]=num;
e[num].pre=rhead[a];
rhead[a]=num;
e[num].u=b;
e[num].v=a;
e[num++].f=0;
return ;
}
int main()
{
//init(); 重新赋值sourc sink n
return 0;
}
邻接表 较快
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int N=1010;
const int M=50000;
const int inf=(1<<28);
int head[N];
struct Edge
{
int v,next,w;
} edge[M];
int cnt,n,s,t;//n从0开始 0->n-1
void addedge(int u,int v,int w)
{
edge[cnt].v=v;
edge[cnt].w=w;
edge[cnt].next=head[u];
head[u]=cnt++;
edge[cnt].v=u;
edge[cnt].w=0;
edge[cnt].next=head[v];
head[v]=cnt++;
}
int sap()
{
int pre[N],cur[N],dis[N],gap[N];
int flow=0,aug=inf,u;
bool flag;
for(int i=0; i<n; i++)
{
cur[i]=head[i];
gap[i]=dis[i]=0;
}
gap[s]=n;
u=pre[s]=s;
while(dis[s]<n)
{
flag=0;
for(int &j=cur[u]; j!=-1; j=edge[j].next)
{
int v=edge[j].v;
if(edge[j].w>0&&dis[u]==dis[v]+1)
{
flag=1;
if(edge[j].w<aug) aug=edge[j].w;
pre[v]=u;
u=v;
if(u==t)
{
flow+=aug;
while(u!=s)
{
u=pre[u];
edge[cur[u]].w-=aug;
edge[cur[u]^1].w+=aug;
}
aug=inf;
}
break;
}
}
if(flag) continue;
int mindis=n;
for(int j=head[u]; j!=-1; j=edge[j].next)
{
int v=edge[j].v;
if(edge[j].w>0&&dis[v]<mindis)
{
mindis=dis[v];
cur[u]=j;
}
}
if((--gap[dis[u]])==0)
break;
gap[dis[u]=mindis+1]++;
u=pre[u];
}
return flow;
}
//初始化 cnt=0;memset(head,-1,sizeof(head));