二分图最大权完美匹配BFS
#include<bits/stdc++.h>
#define Maxn 500
#define INF 0x3f3f3f3f3f3f3f3f
using namespace std;
typedef long long ll;
ll w[Maxn+5][Maxn+5];
bool vb[Maxn+5];
ll la[Maxn+5],lb[Maxn+5];
ll d[Maxn+5];
int match[Maxn+5],pre[Maxn+5];
int n,m;
ll KM()
{
for(int i=1;i<=n;i++) la[i]=-INF;
for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
la[i]=max(la[i],w[i][j]);
}
}
for(int i=1;i<=n;i++) lb[i]=0;
for(int u=1;u<=n;u++)
{
int x,y=0,id=0;
ll del;
for(int i=1;i<=n;i++) d[i]=INF;
memset(vb,0,sizeof(vb));
memset(pre,0,sizeof(pre));
match[0]=u;
while(match[y])
{
y=id;
x=match[y];
vb[y]=true;
del=INF;
for(int i=1;i<=n;i++)
{
if(!vb[i])
{
if(la[x]+lb[i]-w[x][i]<d[i])
{
d[i]=la[x]+lb[i]-w[x][i];
pre[i]=y;
}
if(d[i]<del)
{
del=d[i];
id=i;
}
}
}
for(int i=0;i<=n;i++)
{
if(vb[i])
{
la[match[i]]-=del;
lb[i]+=del;
}
else d[i]-=del;
}
}
for(;y;y=pre[y]) match[y]=match[pre[y]];
}
ll ans=0;
for(int i=1;i<=n;i++) ans+=la[i]+lb[i];
return ans;
}
int main()
{
scanf("%d%d",&n,&m);
for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
w[i][j]=-INF;
}
}
for(int i=1;i<=m;i++)
{
int x,y;
ll z;
scanf("%d%d%lld",&x,&y,&z);
w[x][y]=max(w[x][y],z);
}
printf("%lld\n",KM());
for(int i=1;i<=n;i++) printf("%d ",match[i]);
puts("");
return 0;
}