POJ 3678 2-SAT

题意:有n个顶点里面可以放数字1或0,给m个限制,每个限制给出两个顶点编号和两编号内数字运算后的结果

思路:很直接的2-SAT,每个点分为1和0两种情况,按限制要求建边,跑tarjan然后判断点是否在同一个强连通分量里就OK了

(一下代码是WA的。。找了一晚找不到BUG)

 1 #include<cstdio>
 2 const int maxn = 1e3+5;
 3 int stack[maxn],dfn[maxn<<1],low[maxn<<1],head[maxn*maxn],dfs_num,top;
 4 int color[maxn<<1],col_num;
 5 bool vis[maxn*maxn];
 6 class edge
 7 {
 8 public:
 9     int to,next;
10 }e[1000005];
11 inline int gmin(int a,int b)
12 {
13     return a<b?a:b;
14 }
15 int ans;
16 void addedge(int u,int v)
17 {
18     e[++ans].next=head[u];
19     e[ans].to=v;
20     head[u]=ans;
21 }
22 void Tarjan ( int x ) {
23          dfn[ x ] = ++dfs_num ;
24          low[ x ] = dfs_num ;
25          vis [ x ] = true ;//是否在栈中
26          stack [ ++top ] = x ;
27          for ( int i=head[ x ] ; i!=0 ; i=e[i].next ){
28                   int temp = e[ i ].to ;
29                   if ( !dfn[ temp ] ){
30                            Tarjan ( temp ) ;
31                            low[ x ] = gmin ( low[ x ] , low[ temp ] ) ;
32                  }
33                  else if ( vis[ temp ])low[ x ] = gmin ( low[ x ] , dfn[ temp ] ) ;
34          }
35          if ( dfn[ x ]==low[ x ] ) {//构成强连通分量
36                   vis[ x ] = false ;
37                   color[ x ] = ++col_num ;//染色
38                   while ( stack[ top ] != x ) {//清空
39                            color [stack[ top ]] = col_num ;
40                            vis [ stack[ top-- ] ] = false ;
41                  }
42                  top -- ;
43          }
44 }
45 int main()
46 {
47     int n,m;
48     scanf("%d%d",&n,&m);
49     for(int i=0;i<m;i++)
50     {
51         int x,y,z;
52         char s[5];
53         scanf("%d%d%d%s",&x,&y,&z,s);
54         if(s=="AND")
55             {if(z==1)addedge(2*x+1,2*x),addedge(2*y+1,2*y);
56             else addedge(2*x,2*y+1),addedge(2*y,2*x+1);
57         }else if(s=="OR")
58             {if(z==1)addedge(2*x+1,2*y),addedge(2*y+1,2*x);
59             else addedge(2*x,2*x+1),addedge(2*y,2*y+1);
60         }else{
61             if(z==1)addedge(2*x,2*y+1),addedge(2*y+1,2*x),addedge(2*y,2*x+1),addedge(2*x+1,2*y);
62             else addedge(2*x,2*y),addedge(2*y,2*x),addedge(2*x+1,2*y+1),addedge(2*y+1,2*x+1);
63         }
64     }
65 
66     for(int i=0;i<2*n;i++)
67         if(!dfn[i])Tarjan(i);
68     for(int i=0;i<n;i++)
69     if(color[2*i]==color[2*i+1]){printf("NO
");return 0;}
70     printf("YES
");
71     return 0;
72 }
View Code
原文地址:https://www.cnblogs.com/llllrj/p/9416512.html