// (X|Y)Z = φ_X (Y) + Z #include #include #include #include #include #include #include using namespace std; using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; #define rep(i,n) for(int i=0; i<(int)(n); i++) const i64 INF = 1001001001001001001; using Modint = atcoder::static_modint<998244353>; struct Node { Node* p[3] = {}; }; Node* construct(string s, int& p){ if(p == (int)s.size()) return nullptr; if(s[p] != '(') return nullptr; Node* res = new Node(); p++; res->p[0] = construct(s, p); p++; res->p[1] = construct(s, p); p++; res->p[2] = construct(s, p); return res; } string reverse_construct(Node* p){ if(!p) return ""; return "(" + reverse_construct(p->p[0]) + "|" + reverse_construct(p->p[1]) + ")" + reverse_construct(p->p[2]); } #include map, bool> mem; Node* phi(Node* x, Node* y){ return new Node{ x, y, nullptr }; } bool lt(Node *l, Node *r){ if(!r) return false; if(!l) return true; if(mem.count(make_pair(l,r))) return mem[make_pair(l,r)]; auto ltp = [](pair l, pair r) -> bool { if(lt(l.first, r.first)){ return lt(l.second, phi(r.first, r.second)); } if(lt(r.first, l.first)){ return lt(phi(l.first, l.second), r.second); } return lt(l.second, r.second); }; vector> L, R; rep(x,2){ while(l){ auto nx = make_pair(l->p[0], l->p[1]); while(L.size() && ltp(L.back(), nx)) L.pop_back(); L.push_back(nx); l = l->p[2]; } swap(l,r); swap(L,R); } return mem[make_pair(l,r)] = lexicographical_compare(L.begin(), L.end(), R.begin(), R.end(), ltp); } int main(){ string chars = ")|("; string T0, T1; cin >> T0 >> T1; int p0 = 0, p1 = 0; auto t0 = construct(T0, p0); auto t1 = construct(T1, p1); assert(reverse_construct(t0) == T0); assert(reverse_construct(t1) == T1); if(lt(t1, t0)) cout << "0\n"; else cout << "1\n"; return 0; }