#include #include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } // clang-format on int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; input(n); int len = 1; while (len * len <= n) { len++; } const int inf = 1 << 29; auto dp = make_v(n + 1, inf); dp[0] = 0; rep(i, 1, len) { rep(j, i * i, n + 1) { chmin(dp[j], dp[j - i * i] + i); } } dump(dp[n]); int sum = n, zero = 0; auto display = [&](int l) { rep(i, 0, l) { cout << char((zero + i) % 2 + '0'); } zero = (zero + l * l + 1) % 2; }; while (sum > 0) { vector odd, even; rep(i, 1, len) { if (sum - i * i >= 0 && dp[sum] == dp[sum - i * i] + i) { (i % 2 ? odd : even).push_back(i); } } sort(odd.begin(), odd.end()); sort(even.rbegin(), even.rend()); int val = -1; if (zero == 0) { val = (odd.size() > 0 ? odd[0] : even[0]); } else { val = even.back(); } sum -= val * val; display(val); } cout << endl; return 0; }