BZOJ-2561: 最小生成树(最小割)

作者: AmadeusChan | 来源:发表于2019-02-16 20:02 被阅读0次

    题目:http://www.lydsy.com/JudgeOnline/problem.php?id=2561

    没什么好说的,两遍最小割完事。。。

    代码:

    #include <cstdio>
    #include <algorithm>
    #include <cstring>
     
    using namespace std ;
     
    const int maxn = 20100 , inf = 0x7fffffff , maxm = 200010 ;
     
    struct network {
        struct edge {
            edge *next , *pair ;
            int t , f ;
        } *head[ maxn ] ;
        void Init(  ) {
            memset( head , 0 , sizeof( head ) ) ;
        }
        void Add( int s , int t , int f ) {
            edge *p = new( edge ) ;
            p -> t = t , p -> f = f , p -> next = head[ s ] ;
            head[ s ] = p ;
        }
        void AddEdge( int s , int t , int f ) {
            Add( s , t , f ) , Add( t , s , f ) ;
            head[ s ] -> pair = head[ t ] , head[ t ] -> pair = head[ s ] ;
        }
        int gap[ maxn ] , h[ maxn ] , S , T , V ;
        edge *d[ maxn ] ;
        int sap( int v , int flow ) {
            if ( v == T ) return flow ;
            int rec = 0 ; 
            for ( edge *p = d[ v ] ; p ; p = p -> next ) if ( p -> f && h[ v ] == h[ p -> t ] + 1 ) {
                int ret = sap( p -> t , min( flow - rec , p -> f ) ) ;
                p -> f -= ret , p -> pair -> f += ret , d[ v ] = p ;
                if ( ( rec += ret ) == flow ) return flow ;
            }
            if ( ! ( -- gap[ h[ v ] ] ) ) h[ S ] = V ;
            gap[ ++ h[ v ] ] ++ , d[ v ] = head[ v ] ;
            return rec ;
        }
        int maxflow(  ) {
            int flow = 0 ; 
            for ( int i = 0 ; i ++ < V ; ) {
                h[ i ] = gap[ i ] = 0 , d[ i ] = head[ i ] ;
            }
            gap[ 0 ] = V ;
            for ( ; h[ S ] < V ; flow += sap( S , inf ) ) ;
            return flow ;
        }
    } net ;
     
    int n , m , E[ maxm ][ 3 ] , u , v , l , ans ;
     
    int main(  ) {
        scanf( "%d%d" , &n , &m ) ;
        for ( int i = 0 ; i ++ < m ; ) scanf( "%d%d%d" , &E[ i ][ 0 ] , &E[ i ][ 1 ] , &E[ i ][ 2 ] ) ;
        scanf( "%d%d%d" , &u , &v , &l ) ;
        net.Init(  ) ;
        net.S = u , net.T = v , net.V = n ;
        for ( int i = 0 ; i ++ < m ; ) if ( E[ i ][ 2 ] < l ) {
            net.AddEdge( E[ i ][ 0 ] , E[ i ][ 1 ] , 1 ) ;
        }
        ans = net.maxflow(  ) ;
        net.Init(  ) ;
        for ( int i = 0 ; i ++ < m ; ) if ( E[ i ][ 2 ] > l ) {
            net.AddEdge( E[ i ][ 0 ] , E[ i ][ 1 ] , 1 ) ;
        }
        printf( "%d\n" , ans += net.maxflow(  ) ) ;
        return 0 ; 
    }
    

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        本文标题:BZOJ-2561: 最小生成树(最小割)

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