#ifndef TEMPLATE_HPP #define TEMPLATE_HPP #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include #define impl_overload4(a, b, c, d, e, ...) e #define impl_overload5(a, b, c, d, e, f, ...) f #define impl_overload6(a, b, c, d, e, f, g, ...) g #define impl_overload7(a, b, c, d, e, f, g, h, ...) h // clang-format off #define impl_rep4(i, a, b, c) for (int i = (a); i < (b); i += (c)) #define impl_rep3(i, a, b) impl_rep4(i, a, b, 1) #define impl_rep2(i, n) impl_rep3(i, 0, n) #define impl_rep1(n) for (int _ = 0; _ < (n); ++_) #define rep(...) impl_overload4(__VA_ARGS__, impl_rep4, impl_rep3, impl_rep2, impl_rep1)(__VA_ARGS__) #define impl_rrep4(i, a, b, c) for (int i = (b) - 1; i >= (a); i -= (c)) #define impl_rrep3(i, a, b) impl_rrep4(i, a, b, 1) #define impl_rrep2(i, n) impl_rrep3(i, 0, n) #define rrep(...) impl_overload4(__VA_ARGS__, impl_rrep4, impl_rrep3, impl_rrep2)(__VA_ARGS__) // clang-format on #define all(v) std::begin(v), std::end(v) template constexpr int bit(T x, unsigned int k) { return (x >> k) & 1; } template constexpr bool chmax(T& a, const T& b) { return a < b ? a = b, true : false; } template constexpr bool chmin(T& a, const T& b) { return a > b ? a = b, true : false; } void yesno(bool b) { std::cout << (b ? "Yes" : "No") << "\n"; } void yes() { yesno(true); } void no() { yesno(false); } struct Setup { Setup() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(11); } } setup; #ifdef LOCAL #include "template_local.hpp" #else #define show(...) ((void)0) #endif using uint = unsigned int; using lint = long long; using ulint = unsigned long long; using namespace std; #endif // TEMPLATE_HPP int square_free(int v) { for (int a = 2; a * a <= v; a++) { if (v % (a * a) == 0) { v /= a * a; a--; } } return v; } int main() { int n; cin >> n; vector ans(n); vector used(n + 1); rep (i, n) { int p = square_free(i + 1); int v = sqrt(n / p); // maximum v s.t. p * v^2 <= n while (true) { if (not used[v * v * p]) { used[v * v * p] = true; ans[i] = v * v * p; break; } v--; } } rep (i, n) cout << ans[i] << (i < n - 1 ? ' ' : '\n'); return 0; }