POJ

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思路:

2-SAT模板题,注意建边。
假设有点 i1 , j1, i2, j2
当只能选 i1 和 j1 点时,这样加边:
addedge(i1,j1),addedge(j1,i1);
addedge(i2,i1),addedge(j2,j1);//构造这组边为了使选i2,j2非法,因为只能选i1和j1

#include <iostream>#include <algorithm>#include <cstdio>#include <string.h>#include <queue>using namespace std;const int maxn = 2200;struct edge{    int from,to,v,next;}ed[6010000];int head[maxn];int cnte;void ae(int x,int y){    ed[++cnte].to = y;    ed[cnte].next = head[x];    head[x]=cnte;}int dfn[maxn],low[maxn],vis[maxn],stak[maxn],belong[maxn],cntc,cnts,index;//strong connected component //cnt of stackvoid dfs(int u){    dfn[u]=low[u] = ++index;    stak[cnts++]=u;    vis[u]=1;    for(int i = head[u];i!=-1;i=ed[i].next){        int v = ed[i].to;        if(!dfn[v]){            dfs(v);            low[u] = min(low[u],low[v]);        }        else if(vis[v]){            low[u] = min(low[u],dfn[v]);        }    }    if(dfn[u]==low[u]){        cntc++;int v;        do{            v = stak[--cnts];            vis[v] = 0;            belong[v] = cntc;        }while(v!=u);    }}int n,m;void tarjan(){    for(int i = 1;i <= 2*n;i++){        if(!dfn[i]){            dfs(i);        }    }}char s[20];int main(){    scanf("%d%d",&n,&m);    int a,b,c;    memset(head,-1,sizeof(head));    for(int i = 1;i <= m;i++){        scanf("%d%d%d%s",&a,&b,&c,s);        a++;b++;        if(s[0] == 'A'){            if(c == 1){                ae(a+n,a);ae(b+n,b);                ae(a,b);ae(b,a);            }            else{                ae(a,b+n);ae(b,a+n);            }        }        else if(s[0] == 'O'){            if(c == 1){                ae(a+n,b);ae(b+n,a);            }            else{                ae(a,a+n);ae(b,b+n);                ae(a+n,b+n);ae(b+n,a+n);            }        }        else if(s[0] == 'X'){            if(c == 1){               ae(a,b+n);ae(b,a+n);               ae(a+n,b);ae(b+n,a);            }            else{                ae(a,b);ae(b,a);                ae(a+n,b+n);ae(b+n,a+n);            }        }    }    tarjan();    int flag = 1;    for(int i = 1;i <= n;i++){        if(belong[i] == belong[i+n]){            flag = 0;break;        }    }    if(flag == 1){        puts("YES");    }    else        puts("NO");    return 0;}
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