#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define repr(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define rep(i, n) repr(i, 0, n) #define reprrev(i, a, b) for (int i = (int)(b)-1; i >= (int)(a); i--) #define reprev(i, n) reprrev(i, 0, n) #define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define chmin(mi, val) mi = min(mi, val) #define chmax(ma, val) ma = max(ma, val) #define all(a) (a).begin(), (a).end() #define rall(a) (a).rbegin(), (a).rend() #define mp make_pair #define mt make_tuple #define INF 1050000000 #define INFR INT_MAX #define INFL (long long)(4e18) #define INFLR LLONG_MAX #define EPS (1e-10) #define MOD 1000000007 //#define MOD 998244353 #define PI 3.141592653589793238 #define RMAX 4294967295 using vi = vector; using vvi = vector>; using vvvi = vector>>; using vvvvi = vector>>>; using ll = long long; using vll = vector; using vvll = vector>; using vvvll = vector>>; using vd = vector; using vvd = vector>; using vb = vector; using vvb = vector>; using vc = vector; using vvc = vector>; using vs = vector; using vvs = vector>; using Pi = pair; using vPi = vector; using vvPi = vector>; using vvvPi = vector>>; using vvvvPi = vector>>>; using Pll = pair; using vPll = vector; using Pd = pair; using vPd = vector; template using vec = vector; template using pql = priority_queue, greater>; using Comp = complex; // vvvvvvvvvvvvvvvvvvvvvvv debug output vvvvvvvvvvvvvvvvvvvvvvv // vector template istream &operator>>(istream &is, vector &vec) { for (T &x : vec) is >> x; return is; } // pair template ostream &operator<<(ostream &os, pair &pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // vector template ostream &operator<<(ostream &os, const vector &vec) { os << "{"; for (int i = 0; i < vec.size(); i++) { os << vec[i] << (i + 1 == vec.size() ? "" : ", "); } os << "}"; return os; } // deque template ostream &operator<<(ostream &os, const deque &vec) { os << "{"; for (int i = 0; i < vec.size(); i++) { os << vec[i] << (i + 1 == vec.size() ? "" : ", "); } os << "}"; return os; } // map template ostream &operator<<(ostream &os, map &map_var) { os << "{"; repi(itr, map_var) { os << *itr; itr++; if (itr != map_var.end()) os << ", "; itr--; } os << "}"; return os; } // set template ostream &operator<<(ostream &os, set &set_var) { os << "{"; repi(itr, set_var) { os << *itr; itr++; if (itr != set_var.end()) os << ", "; itr--; } os << "}"; return os; } #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) { DUMPOUT << ", "; } dump_func(std::move(tail)...); } #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif // ^^^^^^^^^^^^^^^^^^^^^^^ debug output ^^^^^^^^^^^^^^^^^^^^^^^ string YN(bool y, int id = 0) { if (id) cout << id; return (y ? "YES" : "NO"); } string yn(bool y, int id = 0) { if (id) cout << id; return (y ? "Yes" : "No"); } string ON(bool y, int id = 0) { if (id) cout << id; return (y ? "OK" : "NG"); } int dir4[4][2] = {{0, -1}, {-1, 0}, {1, 0}, {0, 1}}; int dir8[8][2] = {{-1, -1}, {0, -1}, {1, -1}, {-1, 0}, {1, 0}, {-1, 1}, {0, 1}, {1, 1}}; char dirchar[4] = {'<', '^', '>', 'v'}; // [a,b) int irand(int a, int b) { static mt19937 Rand(static_cast(time(nullptr))); uniform_int_distribution dist(a, b - 1); return dist(Rand); } // [a,b) double drand(int a, int b) { static mt19937 Rand(static_cast(time(nullptr))); uniform_real_distribution dist(a, b); return dist(Rand); } // https://qiita.com/IgnorantCoder/items/3101d6276e9bdddf872c template inline auto transform(const A &v, F &&f) { using result_type = decltype(std::declval()(std::declval())); vector y(v.size()); std::transform(std::cbegin(v), std::cend(v), std::begin(y), f); return y; } // 多次元vector生成 template vector make_v(size_t size, const T &init) { return vector(size, init); } template auto make_v(size_t size, Ts... rest) { return vector(size, make_v(rest...)); } template T Max(vector a) { return *max_element(all(a)); } template T Min(vector a) { return *min_element(all(a)); } template T Sum(vector a) { return accumulate(all(a), (T)0); } // mapでカウントとかする template void Add(map &m, T item) { if (m.find(item) == m.end()) { m[item] = 1; } else { m[item]++; } } // デフォルト値つきのmapのget template U Get(map m, T key, U def) { if (m.find(key) == m.end()) { return def; } else { return m[key]; } } template bool Contains(set t, const T &key) { return t.find(key) != t.end(); } template bool Contains(map t, const T &key) { return t.find(key) != t.end(); } template struct Edge { int from, to; T cost; bool operator<(Edge e) { return cost < e.cost; } }; template ostream &operator<<(ostream &os, Edge &edge) { os << "(" << edge.from << "->" << edge.to << ":" << edge.cost << ")"; return os; } template class Graph { int n; bool directed; vector>> edges; public: Graph(int n, bool directed) : n(n), directed(directed), edges(vector>>(n)) {} void add_edge(int s, int t, T cost) { edges[s].push_back(Edge{s, t, cost}); if (!directed) { edges[t].push_back(Edge{t, s, cost}); } } Graph() {} vector> operator[](size_t i) const { return edges[i]; } int size() const { return n; } }; //====================================================== vi memo; vi previous; void dfs(int n) { if (memo[n] != -1) return; int min_cost = INF, min_i = -1; repr(i, 1, (int)sqrt(n + 0.5) + 1) { if (i * i <= n) dfs(n - i * i); if (memo[n - i * i] + i < min_cost) { min_cost = memo[n - i * i] + i; min_i = i; } } previous[n] = n - min_i * min_i; memo[n] = min_cost; } int main() { int N; cin >> N; memo = vi(N + 1, -1); memo[0] = 0; previous = vi(N + 1, -1); dfs(N); dump(memo); dump(previous); vi odd; odd.reserve(N); deque even; int now = N; while (now > 0) { int n = (int)(sqrt(now - previous[now]) + 0.5); if (n % 2 == 0) even.push_back(n); else odd.push_back(n); now = previous[now]; } dump(even); dump(odd); vi num; sort(all(odd)); sort(all(even)); while (!even.empty()) { odd.push_back(even.back()); even.pop_back(); if (even.empty()) break; odd.push_back(even.front()); even.pop_front(); } dump(odd); int p = 0; for (auto n : odd) { p = 1 - p; rep(i, n) { cout << 1 - p; p = 1 - p; } } cout << endl; return 0; }