#include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = uint32_t; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; template vector make_v(U size, const T& init){ return vector(static_cast(size), init); } template auto make_v(U size, Ts... rest) { return vector(static_cast(size), make_v(rest...)); } template void chmin(T &a, const T &b){ a = (a < b ? a : b); } template void chmax(T &a, const T &b){ a = (a > b ? a : b); } template ostream& operator<<(ostream& os, vector v) { os << "{"; for (int i = 0; i < v.size(); ++i) { if(i) os << ", "; os << v[i]; } return os << "}"; } template ostream& operator<<(ostream& os, pair p) { return os << "{" << p.first << ", " << p.second << "}"; } int main() { int n; cin >> n; auto dp = make_v(n+1, INF); dp[0] = 0; vector sq(n+1); sq[0] = 0; for (int i = 1; i <= n; ++i) { sq[i] = sq[i-1]; while((sq[i]+1)*(sq[i]+1) <= i) sq[i]++; } for (int i = 1; i <= n; ++i) { for (int j = sq[i]; j >= 1; --j) { chmin(dp[i], dp[i-j*j]+j); } } int cur = n; vector v; while(cur){ for (int i = sq[cur]; i >= 1; --i) { if(dp[cur-i*i] == dp[cur]-i) { v.emplace_back(i); cur -= i*i; break; } } } auto f = [&](vector &x){ string s; int cur = 0; for (auto &&i : x) { for (int j = 0; j < i; ++j) { s += char('0'+cur); cur ^= 1; } cur ^= 1; } return s; }; sort(v.begin(),v.end()); string ans = f(v); do { ans = min(ans, f(v)); }while(next_permutation(v.begin(),v.end())); cout << ans << "\n"; return 0; }