// (X|Y)Z = φ_X (Y) + Z #include #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 Ordinal { shared_ptr p; Ordinal() : p(nullptr) {} Ordinal(Ordinal phisuf, Ordinal phiarg, Ordinal plus); const struct OrdinalCore* operator->() const { return p.get(); } static Ordinal Zero(){ return Ordinal(); } static Ordinal One(){ return Ordinal(Zero(), Zero(), Zero()); } bool isZero(){ return !p; } }; struct OrdinalCore { Ordinal phisuf; Ordinal phiarg; Ordinal plus; OrdinalCore(Ordinal _phisuf, Ordinal _phiarg, Ordinal _plus) : phisuf(_phisuf) , phiarg(_phiarg) , plus(_plus) {} }; Ordinal::Ordinal(Ordinal phisuf, Ordinal phiarg, Ordinal plus) : p(std::make_shared(phisuf, phiarg, plus)) {} Ordinal construct(string s, int& p){ if(p == (int)s.size()) return Ordinal::Zero(); if(s[p] != '(') return Ordinal::Zero(); Ordinal phisuf = construct(s, ++p); Ordinal phiarg = construct(s, ++p); Ordinal plus = construct(s, ++p); return Ordinal(phisuf, phiarg, plus); } bool operator<(Ordinal l, Ordinal r){ if(r.isZero()) return false; if(l.isZero()) return true; auto ltp = [](pair l, pair r) -> bool { if(l.first < r.first){ return l.second < Ordinal(r.first, r.second, Ordinal::Zero()); } if(r.first < l.first){ return Ordinal(l.first, l.second, Ordinal::Zero()) < r.second; } return l.second < r.second; }; vector> L, R; rep(x,2){ while(!l.isZero()){ auto nx = make_pair(l->phisuf, l->phiarg); while(L.size() && ltp(L.back(), nx)) L.pop_back(); L.push_back(nx); l = l->plus; } swap(l,r); swap(L,R); } return lexicographical_compare(L.begin(), L.end(), R.begin(), R.end(), ltp); } int main(){ string T0, T1; cin >> T0 >> T1; int p0 = 0, p1 = 0; auto t0 = construct(T0, p0); auto t1 = construct(T1, p1); if(t1 < t0) cout << "0\n"; else cout << "1\n"; return 0; }