// #define DEBUGGING #include using namespace std; #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = vector; template using VV = V>; using ll = int64_t; using ull = uint64_t; using PLL = pair; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(30); } } init_io; } #ifdef DEBUGGING // #include "../debug/debug.cpp" #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { #define rec make_v(init, tail...) return V(s, rec); #undef rec } using TLL = tuple; V dp(3e5 + 10, make_tuple(-1, -1, -1)); TLL not_yet = TLL(-1, -1, -1); ll calc(ll n) { if(n <= 1) return n; if(dp[n] != not_yet) return get<0>(dp[n]); ll pre_idx = n, min_len = 5e15, num; for(ll i = 1; i * i <= n; i++) { ll pow2 = i * i; ll div = n / (i * i); auto res = calc(n - div * pow2); ll len = div * i + res; DEBUG(make_tuple(n, i, div, res, len)); if(len <= min_len) { num = i; pre_idx = n - div * pow2; min_len = i * div + res; } } dp[n] = make_tuple(min_len, pre_idx, num); return min_len; } int main() { ll N; cin >> N; V nlis; dp[1] = make_tuple(1, 0ll, 1); calc(N); ll idx = N; while(0 < idx) { ll min_len, pre_idx, num; DEBUG(dp[idx]); tie(min_len, pre_idx, num) = dp[idx]; ll diff = (idx - pre_idx); for(ll i = 0; i < diff / (num * num); i++) nlis.push_back(num); idx = pre_idx; } DEBUG(nlis); V odds, evens; for(auto &&ele : nlis) (ele & 1 ? odds : evens).push_back(ele); sort(ALL(odds)); sort(ALLR(evens)); deque deq; for(auto &&ele : evens) deq.push_back(ele); string ans; for(auto &&ele : odds) for(ll i = 0; i < ele; i++) ans += '0' + (i & 1); while(deq.size()) { ll ele = deq.front(); deq.pop_front(); for(ll i = 0; i < ele; i++) ans += '0' + (i & 1); if(deq.empty()) break; ele = deq.back(); deq.pop_back(); for(ll i = 0; i < ele; i++) ans += '1' - (i & 1); } cout << ans << endl; return 0; }