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struct sat2 {
int n; // + scc variablen
vector<int> sol;
sat2(int vars) : n(vars*2), adjlist(vars*2) {};
static int var(int i) {return i << 1;}
void addImpl(int v1, int v2) {
adjlist[v1].push_back(v2);
adjlist[1^v2].push_back(1^v1);
}
void addEquiv(int v1, int v2) {addImpl(v1, v2); addImpl(v2, v1);}
void addOr(int v1, int v2) {addImpl(1^v1, v2);}
void addXor(int v1, int v2) {addOr(v1, v2); addOr(1^v1, 1^v2);}
void addTrue(int v1) {addImpl(1^v1, v1);}
void addFalse(int v1) {addTrue(1^v1);}
void addAnd(int v1, int v2) {addTrue(v1); addTrue(v2);}
void addNand(int v1, int v2) {addOr(1^v1, 1^v2);}
bool solvable() {
scc(); //scc code von oben
for (int i = 0; i < n; i += 2) {
if (idx[i] == idx[i + 1]) return false;
}
return true;
}
void assign() {
sol.assign(n, -1);
for (int i = 0; i < sccCounter; i++) {
if (sol[sccs[i][0]] == -1) {
for (int v : sccs[i]) {
sol[v] = 1;
sol[1^v] = 0;
}}}}
};
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