Luogu4782 【模板】2-SAT 问题(2-SAT)

  模板。注意若x=y不一定是废话,x=0或x=0表示x必须为0。以及数组开2n。

#include<iostream> 
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
using namespace std;
int read()
{
    int x=0,f=1;char c=getchar();
    while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
    while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
    return x*f;
}
#define N 2000010
int n,m,p[N],t=0;
int dfn[N],low[N],stk[N],set[N],top=0,cnt=0;
bool flag[N];
struct data{int to,nxt;
}edge[N];
void addedge(int x,int y){t++;edge[t].to=y,edge[t].nxt=p[x],p[x]=t;}
void tarjan(int k)
{
    dfn[k]=low[k]=++cnt;
    stk[++top]=k;flag[k]=1;
    for (int i=p[k];i;i=edge[i].nxt)
    if (!dfn[edge[i].to]) tarjan(edge[i].to),low[k]=min(low[k],low[edge[i].to]);
    else if (flag[edge[i].to]) low[k]=min(low[k],dfn[edge[i].to]);
    if (dfn[k]==low[k])
    {
        t++;
        while (stk[top]!=k)
        {
            set[stk[top]]=t;
            flag[stk[top]]=0;
            top--;
        }
        set[k]=t;flag[k]=0;top--;
    }
}
int main()
{
#ifndef ONLINE_JUDGE
    freopen("2-SAT.in","r",stdin);
    freopen("2-SAT.out","w",stdout);
    const char LL[]="%I64d";
#else
    const char LL[]="%lld";
#endif
    n=read(),m=read();
    for (int i=1;i<=m;i++)
    {
        int x=read(),w=read(),y=read(),v=read();
        if (x!=y) addedge(x*2-(w^1),y*2-v),addedge(y*2-(v^1),x*2-w);
        else if (w==v) addedge(x*2-(w^1),x*2-w);
    }
    t=0;
    for (int i=1;i<=n*2;i++)
    if (!dfn[i]) tarjan(i);
    for (int i=1;i<=n;i++)
    if (set[i<<1]==set[i*2-1]) {cout<<"IMPOSSIBLE";return 0;}
    cout<<"POSSIBLE\n";
    for (int i=1;i<=n;i++)
    if (set[i<<1]<set[i*2-1]) printf("0 ");else printf("1 ");
    return 0;
}

 

posted @ 2018-08-03 10:45  Gloid  阅读(179)  评论(0编辑  收藏  举报