// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include #include #include #include // etc #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_ void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& R:c)for(auto& w:R)std::cin>>w; // output #define OUT(dist) std::cout<<(dist); #define FOUT(n, dist) std::cout<=(a);--w) #define REP(w, n) for(int w=0;w=0;--w) #define IN(a, x, b) (a<=x && x inline T CHMAX(T & a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } // test template using V = std::vector; template using VV = V>; template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define random_shuffle "USE std::shuffle!"; // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-10; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector & a, const T & val) { for (auto& x : a) x = val; } template void FILL(std::vector> & a, const T & val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ constexpr int MAX_N = 300000; int dp[MAX_N + 5]; int pre[MAX_N + 5]; std::string make01(int n, bool f) { std::string res; if (f) { REP(i, n) res += '0' + (i & 1); } else { REP(i, n) res += '1' - (i & 1); } return res; } std::string make(int n) { std::string res = ""; int now = 0; while (now < n) { bool added = false; if (res.empty() || res.back() == '0') { // 0 for (int i = 1; i < 10000; i += 2) { if (now + i * i > n) break; if (dp[n - (now + i * i)] + res.size() + i == dp[n]) { now += i * i; res += make01(i, true); added = true; break; } } if (added) continue; int t = std::sqrt(n - now) + 5; if (t & 1) --t; for (int i = t; i >= 2; i -= 2) { if (now + i * i > n) continue; if (dp[n - (now + i * i)] + res.size() + i == dp[n]) { now += i * i; res += make01(i, true); break; } } } else { // 1 for (int i = 2; i < 10000; i += 2) { if (now + i * i > n) break; if (dp[n - (now + i * i)] + res.size() + i == dp[n]) { now += i * i; res += make01(i, false); added = true; break; } } if (added) continue; int t = std::sqrt(n - now) + 5; if (!(t & 1)) --t; for (int i = t; i >= 1; i -= 2) { if (now + i * i > n) break; if (dp[n - (now + i * i)] + res.size() + i == dp[n]) { now += i * i; res += make01(i, false); break; } } } } return res; } signed main() { INIT; FILL(dp, INFLL); dp[0] = 0; REP(i, MAX_N) { FOR(k, 1, MAX_N + 3) { if (i + k * k > MAX_N) break; if (dp[i + k * k] > dp[i] + k) { dp[i + k * k] = dp[i] + k; pre[i + k * k] = i; } } } VAR(int, n); OUT(make(n))BR; return 0; }