poj 1273

时间:2024-09-18 11:35:56

网络流之最大流的基础题;

可以使用dinic算法和EK算法:

分别对着模板敲了一遍:

dinic:

 #include<cstdio>
#include<cstring>
#include<algorithm>
#include<queue>
#define maxn 205
#define inf 0xfffffff
using namespace std; int map[maxn][maxn],level[maxn];
int n,m; int bfs(int s)
{
memset(level,,sizeof level);
queue<int>q;
q.push(s);
level[s]=;
while(!q.empty())
{
int now=q.front();
q.pop();
for(int i=; i<=m; i++)
if(!level[i]&&map[now][i]>)
{
level[i]=level[now]+;
q.push(i);
}
}
return level[m]!=;
} int dfs(int s,int cp)
{
int tmp=cp,t;
if(s==m) return cp;
for(int i=; i<=m&&tmp; i++)
if(level[i]==level[s]+&&map[s][i]>)
{
t=dfs(i,min(tmp,map[s][i]));
map[s][i]-=t;
map[i][s]+=t;
tmp-=t;
}
return cp-tmp;
} int main()
{
int a,b,f;
while(scanf("%d%d",&n,&m)!=EOF)
{
memset(map,,sizeof map);
for(int i=; i<n; i++)
{
scanf("%d%d%d",&a,&b,&f);
map[a][b]+=f;
}
int ans=,flow=;
while(bfs())
{
while(flow=dfs(,inf))
ans+=flow;
}
printf("%d\n",ans);
}
return ;
}

EK:

 #include<cstdio>
#include<cstring>
#include<algorithm>
#define maxn 205
#include<queue>
using namespace std; int map[maxn][maxn],p[maxn],n,m;
bool flag[maxn];
bool bfs()
{
queue<int>q;
memset(flag,,sizeof flag);
memset(p,-,sizeof p);
q.push();
flag[]=;
while(!q.empty())
{
int now=q.front();
q.pop();
if(now==m) return ;
for(int i=; i<=m; i++)
if(map[now][i]>&&!flag[i])
{
flag[i]=;
p[i]=now;
q.push(i);
}
}
return ;
} void ek()
{
int u,flow=,t;
while(bfs())
{
t=;
u=m;
while(p[u]!=-)
{
t=min(t,map[p[u]][u]);
u=p[u];
}
flow+=t;
u=m;
while(p[u]!=-)
{
map[p[u]][u]-=t;
map[u][p[u]]+=t;
u=p[u];
}
}
printf("%d\n",flow);
} int main()
{
int a,b,f;
while(scanf("%d%d",&n,&m)!=EOF)
{
memset(map,,sizeof map);
while(n--)
{
scanf("%d%d%d",&a,&b,&f);
map[a][b]+=f;
}
ek();
}
return ;
}