LuoguP4782 【模板】2-SAT 问题 (2-SAT)
Not difficult, the only problem is how to deal with give 0/1 to the var.
Tarjan offers the reverse topological order. For each connected, the earlier one in the order ought to be 0.//I'm not sure, for truth.
int dfn[N],dfnIndex,low[N],vis[N];
int sta[N],top;
int scc[N],sccIndex;
inline void Tarjan(int u){
dfn[u] = low[u] = ++dfnIndex;
sta[++top] = u;
vis[u] = true;
for(register int i = head[u]; i; i = e[i].nxt){
int v = e[i].pre;
if(!dfn[v]){
Tarjan(v);
low[u] = Min(low[u], low[v]);
}
else if(vis[v]){
low[u] = Min(low[u], dfn[v]);//letter
}
}
if(dfn[u] == low[u]){
++sccIndex;
do{
scc[sta[top]] = sccIndex;
vis[sta[top]] = false;
}while(sta[top--] != u);
}
}
inline bool Judge(){
R(i,1,n){
if(scc[i<<1] == scc[i<<1|1])
return false;
}
return true;
}
int main(){
int m;
io >> n >> m;
R(i,1,m){
int a,b,c,d;
io >> a >> b >> c >> d;
add(a << 1 | (b ^ 1), c << 1 | d);
add(c << 1 | (d ^ 1), a << 1 | b);
}
n = n << 1 | 1;
R(i,2,n){
if(!dfn[i])
Tarjan(i);
}
n = (n - 1) >> 1;
if(Judge() == true){
printf("POSSIBLE\n");
}
else{
printf("IMPOSSIBLE\n");
return 0;
}
R(i,1,n){
//if bool varible x appears earlier than -x, let it be false//alright, ignore this, I haven't understand it yet.
printf("%d ", scc[i<<1] > scc[i<<1|1]);
}
}