#include #include #include #include #include #include #include #include template struct vec; template struct seq_view{ using Ref = typename std::iterator_traits::reference; using Elem = typename std::iterator_traits::value_type; Iter a, b; Iter begin() const { return a; } Iter end() const { return b; } int size() const { return (int)(b-a); } seq_view(Iter first, Iter last) : a(first), b(last) {} seq_view sort() const { std::sort(a, b); return *this; } Ref& operator[](int x) const { return *(a+x); } template, class ret = vec> ret sorti(F f = F()) const { ret x(size()); for(int i=0; i> ret col() const { return ret(begin(), end()); } template> ret cumsum() const { auto res = ret(size() + 1, Elem(0)); for(int i=0; i, class ret = vec>> ret rle(F eq = F()) const { auto x = ret(); for(auto& a : (*this)){ if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++; } return x; } template seq_view sort(F f) const { std::sort(a, b, f); return *this; } Iter uni() const { return std::unique(a, b); } Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); } Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); } int lbi(const Elem& x) const { return lb(x) - a; } int ubi(const Elem& x) const { return ub(x) - a; } seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; } template Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); } template Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); } template Iter when_true_to_false(F f) const { if(a == b) return a; return std::lower_bound(a, b, *a, [&](const Elem& x, const Elem&){ return f(x); }); } seq_view same(Elem x) const { return { lb(x), ub(x) }; } template auto map(F f) const { vec()))> r; for(auto& x : *this) r.emp(f(x)); return r; } Iter max() const { return std::max_element(a, b); } Iter min() const { return std::min_element(a, b); } template> Iter min(F f) const { return std::min_element(a, b, f); } seq_view rev() const { std::reverse(a, b); return *this; } }; template struct vec { public: using Base = typename std::vector; using Iter = typename Base::iterator; using iterator = Iter; using CIter = typename Base::const_iterator; using const_iterator = CIter; using View = seq_view; using CView = seq_view; vec(){} explicit vec(int n, const Elem& value = Elem()) : a(0 vec(I2 first, I2 last) : a(first, last) {} vec(std::initializer_list il) : a(std::move(il)) {} vec(Base b) : a(std::move(b)) {} operator Base() const { return a; } Iter begin(){ return a.begin(); } CIter begin() const { return a.begin(); } Iter end(){ return a.end(); } CIter end() const { return a.end(); } int size() const { return a.size(); } bool empty() const { return a.empty(); } Elem& back(){ return a.back(); } const Elem& back() const { return a.back(); } vec& sortuni(){ (*this)().sort(); a.erase((*this)().uni(), end()); return *this; } vec sortunied(){ vec x = *this; x.sortuni(); return x; } Iter operator()(int x){ return a.begin() + x; } CIter operator()(int x) const { return a.begin() + x; } View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; } CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; } View operator()(){ return (*this)(0,size()); } CView operator()() const { return (*this)(0,size()); } Elem& operator[](int x){ return a[x]; } const Elem& operator[](int x) const { return a[x]; } Base& operator*(){ return a; } const Base& operator*() const { return a; } vec& push(Elem args){ a.push_back(std::move(args)); return *this; } vec& push_back(Elem args){ return push(std::move(args)); } template vec& emp(Args &&... args){ a.emplace_back(std::forward(args) ...); return *this; } void assign(int n, const Elem& e){ a.assign(n, e); } template vec& emplace_back(Args &&... args){ return emp(std::forward(args) ...); } template vec& app(Range& x){ for(auto& v : x){ emp(v); } return *this; } void erase(Iter l, Iter r){ a.erase(l, r); } Elem pop(){ Elem x = std::move(a.back()); a.pop_back(); return x; } Elem pop_back(){ return pop(); } void resize(int sz){ a.resize(sz); } void reserve(int sz){ a.reserve(sz); } bool operator==(const vec& r) const { return a == r.a; } bool operator!=(const vec& r) const { return a != r.a; } bool operator<(const vec& r) const { return a < r.a; } bool operator<=(const vec& r) const { return a <= r.a; } bool operator>(const vec& r) const { return a > r.a; } bool operator>=(const vec& r) const { return a >= r.a; } vec> pile(int n) const { return vec>(n, *this); } template vec& filter(F f){ int p = 0; for(auto& x : a) if(f(x)) std::swap(a[p++],x); resize(p); return *this; } vec& operator+=(const vec& r){ return app(r); } vec operator+(const vec& r) const { vec x = *this; x += r; return x; } vec operator*(int t) const { vec res; while(t--){ res += *this; } return res; } vec& set(int i, const Elem& v){ a[i] = v; return *this; } template vec operator[](const vec& i){ return i().map([&](auto& j){return a[j];}); } private: Base a; }; template vec cumsum(const vec& A){ vec buf(A.size() + 1, Elem(0)); for(int i=0; i IStr& operator>>(IStr& is, vec>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; } template IStr& operator>>(IStr& is, vec& v){ for(auto& x:v){ is >> x; } return is; } template OStr& operator<<(OStr& os, const vec& v){ for(int i=0; i OStr& operator<<(OStr& os, const vec>& v){ for(int i=0; i makeord(int N){ if(N <= 3) return { 0, 1, 3, 2 }; int n = 0; while((1< base = makeord(n); vector ans(N+1); vec, int>> tmp; tmp.push_back({ {}, 0 }); for(int I=1; I<=N; I++){ vector buf; int p = I; while(p){ int q = 0; while(p % 2 == 0){ p /= 2; q++; } p /= 2; q = base[q]; if(buf.empty() || buf.back() <= q) buf.push_back(q); } reverse(buf.begin(), buf.end()); tmp.emplace_back(move(buf), I); } tmp().sort(); sort(tmp.begin(), tmp.end()); rep(i,N+1) ans[tmp[i].second] = tmp().lbi({ tmp[i].first, -1 }); return ans; } int main(){ string N, M; cin >> N >> M; if(M == "0"){ cout << "No\n"; return 0; } if(N == "0"){ cout << "Yes\n"; return 0; } auto ord = makeord(100006); vec Narr, Marr; rep(t,2){ swap(N, M); swap(Narr, Marr); for(auto q : vec(N.begin(), N.end())().rle()){ if(q.first == '0'){ int f = ord[q.second]; while(Narr.size() != 0 && Narr[Narr.size()-1] < f) Narr.pop(); Narr.push(f); } else rep(j,q.second-1) Narr.push(ord[0]); } if(N.back() == '1') Narr.push(ord[0]); } Narr().sort().rev(); Marr().sort().rev(); cout << (*Narr < *Marr ? "Yes\n" : "No\n"); return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_instance;