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【HDU】4292 Food 最大流

2017年11月20日 ⁄ 综合 ⁄ 共 2044字 ⁄ 字号 评论关闭

传送门:【HDU】4292 Food

题目分析:建立超级源汇,源点和食物建边,汇点和饮料建边,食物和人建边,饮料和人都建边,由于每个人只接受一份食物和饮料,因此将人拆成两个点,建边容量为1限制。

代码如下:

#include <cstdio>
#include <cstring>
#include <algorithm>
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 )

typedef int type_c ;

const int MAXN = 805 ;
const int MAXQ = 805 ;
const int MAXE = 200004 ;
const int INF = 0x3f3f3f3f ;

struct Edge {
	int v , n ;
	type_c c ;
	Edge () {}
	Edge ( int v , type_c c , int n ) : v ( v ) , c ( c ) , n ( n ) {}
} ;

struct Net {
	Edge E[MAXE] ;
	int H[MAXN] , cntE ;
	int d[MAXN] , num[MAXN] , pre[MAXN] , cur[MAXN] ;
	int Q[MAXQ] , head , tail ;
	int s ,t , nv ;
	type_c flow ;
	
	int N , F , D ;
	
	void init () {
		cntE = 0 ;
		CLR ( H , -1 ) ;
	}
	
	void addedge ( int u , int v , type_c c ) {
		E[cntE] = Edge ( v , c , H[u] ) ;
		H[u] = cntE ++ ;
		E[cntE] = Edge ( u , 0 , H[v] ) ;
		H[v] = cntE ++ ;
	}
	
	void rev_bfs () {
		CLR ( d , -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 ;
			}
		}
	}
	
	type_c ISAP () {
		CPY ( cur , H ) ;
		rev_bfs () ;
		flow = 0 ;
		int u = pre[s] = s , i , pos , mmin ;
		while ( d[s] < nv ) {
			if ( u == t ) {
				type_c f = INF ;
				for ( i = s ; i != t ; i = E[cur[i]].v )
					if ( f > E[cur[i]].c ) {
						f = E[cur[i]].c ;
						pos = i ;
					}
				for ( i = s ; i != t ; i = E[cur[i]].v ) {
					E[cur[i]].c -= f ;
					E[cur[i] ^ 1].c += f ;
				}
				u = pos ;
				flow += f ;
			}
			for ( i = cur[u] ; ~i ; i = E[i].n )
				if ( E[i].c && d[u] == d[E[i].v] + 1 )
					break ;
			if ( ~i ) {
				cur[u] = i ;
				pre[E[i].v] = u ;
				u = E[i].v ;
			}
			else {
				if ( 0 == -- num[d[u]] )
					break ;
				mmin = nv ;
				for ( i = H[u] ; ~i ; i = E[i].n )
					if ( E[i].c && mmin > d[E[i].v] ) {
						mmin = d[E[i].v] ;
						cur[u] = i ;
					}
				d[u] = mmin + 1 ;
				num[d[u]] ++ ;
				u = pre[u] ;
			}
		}
		return flow ;
	}
	
	void read ( int &x ) {
		char c ;
		do {
			c = getchar () ;
		} while ( c < '0' || c > '9' ) ;
		x = c - '0' ;
		while ( ( c = getchar () ) >= '0' && c <= '9' )
			x = x * 10 + c - '0' ;
	}
	
	void solve () {
		int x ;
		int FD = F + D ;
		int NFD = N + FD ;
		s = N + NFD ;
		t = s + 1 ;
		nv = t + 1 ;
		init () ;
		REP ( i , 0 , N )
			addedge ( FD + i , NFD + i , 1 ) ;
		REP ( i , 0 , F ) {
			read ( x ) ;
			addedge ( s , i , x ) ;
		}
		REP ( i , 0 , D ) {
			read ( x ) ;
			addedge ( i + F , t , x ) ;
		}
		REP ( i , 0 , N ) {
			REP ( j , 0 , F )
				if ( getchar () == 'Y' )
					addedge ( j , FD + i , 1 ) ;
			getchar () ;
		}
		REP ( i , 0 , N ) {
			REP ( j , 0 , D )
				if ( getchar () == 'Y' )
					addedge ( NFD + i , j + F , 1 ) ;
			getchar () ;
		}
		printf ( "%d\n" , ISAP () ) ;
	}
} e ;

int main () {
	while ( ~scanf ( "%d%d%d" , &e.N , &e.F , &e.D ) )
		e.solve () ;
	return 0 ;
}

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