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  • ISAP 最大流 最小割 模板

    虽然这道题用最小割没有做出来,但是这个板子还是很棒:

    #include<stdio.h>
    #include<math.h>
    #include<string.h>
    #include<iostream>
    #include<algorithm>
    #define ll long long
    using namespace std;
    #define REP( i , a , b ) for ( int i = a ; i < b ; ++ i )
    #define REV( i , a , b ) for ( int i = a - 1 ; i >= b ; -- i )
    #define FOR( i , a , b ) for ( int i = a ; i <= b ; ++ i )
    #define FOV( i , a , b ) for ( int i = a ; i >= b ; -- i )
    #define CLR( a , x ) memset ( a , x , sizeof a )
    #define CPY( a , x ) memcpy ( a , x , sizeof a )
    const int MAXN = 200005 ;
    const int MAXQ = 800010 ;
    const int MAXE = 800010 ;
    const ll INF = 922337203685477580 ;
    
    struct Edge {
        int v , n ;
        ll c ;
        Edge () {}
        Edge ( int v , ll c , int n ) : v ( v ) , c ( c ) , n ( n ) {}
    } ;
    
    struct Net {
        Edge E[MAXE];
        int H[MAXN] , cntE ;
        int d[MAXN] , num[MAXN] , cur[MAXN] , pre[MAXN] ;
        int Q[MAXQ] , head , tail ;
        int s , t , nv ;
        int n , m ;
        ll flow ;
    
        int deg[MAXN] ;
    
        inline void init () {
            cntE = 0 ;
            CLR ( H , -1 ) ;
            int i;
            for(i=0; i <= n+3 ; i++)    H[i] = -1;
        }
    
        inline void addedge ( int u , int v , ll c ) {
            E[cntE] = Edge ( v , c , H[u] ) ;
            H[u] = cntE ++ ;
            E[cntE] = Edge ( u , c , H[v] ) ;
            H[v] = cntE ++ ;
        }
    
        inline void rev_bfs () {
            CLR ( d , -1 ) ;
            int i;
            for(i=0; i <= n+3 ; i++)    d[i] = -1;
            CLR ( num , 0 ) ;
            head = tail = 0 ;
            Q[tail ++] = t ;
            d[t] = 0 ;
            num[d[t]] = 1 ;
            while ( head != tail ) {
                int u = Q[head ++] ;
                for ( int i = H[u] ; ~i ; i = E[i].n ) {
                    int v = E[i].v ;
                    if ( ~d[v] )
                        continue ;
                    d[v] = d[u] + 1 ;
                    num[d[v]] ++ ;
                    Q[tail ++] = v ;
                }
            }
        }
    
        inline ll ISAP () {
            CPY ( cur , H ) ;
            rev_bfs () ;
            flow = 0 ;
            int u = pre[s] = s ;
            while ( d[s] < nv ) {
                if ( u == t ) {
                    ll f = INF , pos ;
                    for ( int i = s ; i != t ; i = E[cur[i]].v )
                        if ( f > E[cur[i]].c ) {
                            f = E[cur[i]].c ;
                            pos = i ;
                        }
                    for ( int i = s ; i != t ; i = E[cur[i]].v ) {
                        E[cur[i]].c -= f ;
                        E[cur[i] ^ 1].c += f ;
                    }
                    flow += f ;
                    u = pos ;
                }
                for ( int &i = cur[u] ; ~i ; i = E[i].n )
                    if ( E[i].c && d[u] == d[E[i].v] + 1 )
                        break ;
                if ( ~cur[u] ) {
                    pre[E[cur[u]].v] = u ;
                    u = E[cur[u]].v ;
                } else {
                    if ( 0 == ( -- num[d[u]] ) )
                        break ;
                    int mmin = nv ;
                    for ( int i = H[u] ; ~i ; i = E[i].n )
                        if ( E[i].c && mmin > d[E[i].v] ) {
                            cur[u] = i ;
                            mmin = d[E[i].v] ;
                        }
                    d[u] = mmin + 1 ;
                    num[d[u]] ++ ;
                    u = pre[u] ;
                }
            }
            return flow ;
        }
    
        inline void solve () {
            int u , v ;
            ll c ;
            init () ;
            CLR ( deg , 0 ) ;
            s = 0 ;
            t = n ;
            nv = t;
            REP ( i , 1 , n ) {
                scanf ( "%d%d%lld" , &u , &v , &c ) ;
                addedge ( u  , v  , c ) ;
                ++ deg[u] ;
                ++ deg[v] ;
            }
            printf ( "%lld
    " , ISAP () ) ;
        }
    } x ;
    
    int main () {
    //    while ( ~scanf ( "%d" , &x.n ) && ( x.n ) ) {
    //        x.m = x.n - 1;
        scanf("%d",&x.n);
        x.solve () ;
    //    }
    
        return 0 ;
    }
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  • 原文地址:https://www.cnblogs.com/zinyy/p/9139094.html
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