luogu P6577 模板二分图最大权完美匹配

Posted 2020-12-06 qingyuyyyyy

#pragma GCC optimize (3,"inline","Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll N=505;
const ll inf=1e18;
ll n,m;
ll wx[N],wy[N],weight[N][N],slack[N];
ll belong[N];
bool visx[N],visy[N];
ll pre[N];
void FindPath(ll u)
{
    ll x,y=0,yy=0,delta;
    memset(pre,0,sizeof pre);
    for(int i=1; i<=n; i++)
        slack[i]=inf;
    belong[y]=u;
    while(1)
    {
        x=belong[y];
        delta=inf;
        visy[y]=1;
        for(ll i=1; i<=n; i++)
        {
            if(visy[i])
                continue;
            if(slack[i]>wx[x]+wy[i]-weight[x][i])
            {
                slack[i]=wx[x]+wy[i]-weight[x][i];
                pre[i]=y;
            }
            if(slack[i]<delta)
            {
                delta=slack[i];
                yy=i;
            }
        }
        for(ll i=0; i<=n; i++)
        {
            if(visy[i])
                wx[belong[i]]-=delta,wy[i]+=delta;
            else slack[i]-=delta;
        }
        y=yy;
        if(belong[y]==-1)
            break;
    }
    while(y)
    {
        belong[y]=belong[pre[y]];
        y=pre[y];
    }
}
ll Km()
{
    memset(belong,-1,sizeof(belong));
    memset(wx,0,sizeof(wx));
    memset(wy,0,sizeof(wy));
    for(ll i=1; i<=n; i++)
    {
        memset(visy,0,sizeof(visy));
        FindPath(i);
    }
    ll res=0;
    for(ll i=1; i<=n; i++)
        if(belong[i]!=-1)
            res+=weight[belong[i]][i];
    return res;
}

int main()
{
    scanf("%lld%lld",&n,&m);
    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++)
            weight[i][j]=-inf;
    for(int i=1; i<=m; i++)
    {
        ll u,v,w;
        scanf("%lld%lld%lld",&u,&v,&w);
        weight[u][v]=w;
    }
    printf("%lld
",Km());
    for(int i=1; i<=n; i++)
        printf("%lld ",belong[i]);
    return 0;
}