●BZOJ 1934 [Shoi2007]Vote 善意的投票

时间:2022-06-23 04:22:06

题链:

http://www.lydsy.com/JudgeOnline/problem.php?id=1934

题解:

题目有点迷。

S向为1的点连边,为0的点向T连边,
在有关系的两个点之间连双向边。
以上边的容量都为1。
然后求最小割,最小割==最大流,dinic实现。
代码:

#include<queue>
#include<cstdio>
#include<cstring>
#include<iostream>
#define MAXN 350
#define INF 0x3f3f3f3f
using namespace std;
struct Edge{
int to[MAXN*MAXN*2],cap[MAXN*MAXN*2],nxt[MAXN*MAXN*2],head[MAXN],ent;
void Init(){
ent=2; memset(head,0,sizeof(head));
}
void Adde(int u,int v,int w){
to[ent]=v; cap[ent]=w;
nxt[ent]=head[u]; head[u]=ent++;
to[ent]=u; cap[ent]=0;
nxt[ent]=head[v]; head[v]=ent++;
}
int Next(bool type,int i){
return type?head[i]:nxt[i];
}
}E;
int N,M,T,S;
int d[MAXN],cur[MAXN];
bool bfs(){
memset(d,0,sizeof(d));
queue<int>q; q.push(S); d[S]=1;
while(!q.empty()){
int u=q.front(); q.pop();
for(int i=E.Next(1,u);i;i=E.Next(0,i)){
int v=E.to[i];
if(d[v]||!E.cap[i]) continue;
d[v]=d[u]+1; q.push(v);
}
}
return d[T];
}
int dfs(int u,int reflow){
if(!reflow||u==T) return reflow;
int flowout=0,f;
for(int &i=cur[u];i;i=E.Next(0,i)){
int v=E.to[i];
if(d[v]!=d[u]+1) continue;
f=dfs(v,min(reflow,E.cap[i]));
reflow-=f; E.cap[i]-=f;
flowout+=f; E.cap[i^1]+=f;
if(!reflow) break;
}
if(!flowout) d[u]=0;
return flowout;
}
int Dinic(){
int flow=0;
while(bfs()){
memcpy(cur,E.head,sizeof(E.head));
flow+=dfs(S,INF);
}
return flow;
}
int main()
{
scanf("%d%d",&N,&M); S=N+1,T=N+2;
E.Init();
for(int i=1,x;i<=N;i++){
scanf("%d",&x);
if(x==1) E.Adde(S,i,1);
else E.Adde(i,T,1);
}
for(int i=1,a,b;i<=M;i++){
scanf("%d%d",&a,&b);
E.Adde(a,b,1);
E.Adde(b,a,1);
}
int ans=Dinic();
printf("%d",ans);
return 0;
}