#include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return {i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (c it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(x...) " [" #x ": " << (x) << "] " #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> template <typename A, typename B> using unordered_map2 = __gnu_pbds::gp_hash_table<A, B>; using namespace __gnu_pbds; template <typename T> using ordered_set = __gnu_pbds::tree<T, __gnu_pbds::null_type, less<T>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>; // ordered_set<int> s; s.insert(1); s.insert(2); // s.order_of_key(1); // Out: 0. // *s.find_by_order(1); // Out: 2. using ld = long double; using ll = long long; constexpr int mod = 1000 * 1000 * 1000 + 7; constexpr int odw2 = (mod + 1) / 2; void OdejmijOd(int& a, int b) { a -= b; if (a < 0) a += mod; } int Odejmij(int a, int b) { OdejmijOd(a, b); return a; } void DodajDo(int& a, int b) { a += b; if (a >= mod) a -= mod; } int Dodaj(int a, int b) { DodajDo(a, b); return a; } int Mnoz(int a, int b) { return (ll) a * b % mod; } void MnozDo(int& a, int b) { a = Mnoz(a, b); } int Pot(int a, ll b) { int res = 1; while (b) { if (b % 2 == 1) MnozDo(res, a); a = Mnoz(a, a); b /= 2; } return res; } int Odw(int a) { return Pot(a, mod - 2); } void PodzielDo(int& a, int b) { MnozDo(a, Odw(b)); } int Podziel(int a, int b) { return Mnoz(a, Odw(b)); } int Moduluj(ll x) { x %= mod; if (x < 0) x += mod; return x; } template <typename T> T Maxi(T& a, T b) { return a = max(a, b); } template <typename T> T Mini(T& a, T b) { return a = min(a, b); } constexpr int nax = 1000 * 1000 + 105; int pref[nax]; int Znajdz(int x) { assert(1 <= x and x <= pref[nax - 1]); int a = 1, b = nax - 1; while (a < b) { const int c = (a + b) / 2; if (pref[c] >= x) { b = c; } else { a = c + 1; } } assert(pref[a] >= x); assert(pref[a - 1] < x); return a; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); pref[0] = 0; for (int i = 1; i < nax; i++) { pref[i] = pref[i - 1] + __builtin_popcount(i); } int n; cin >> n; vector<int> output; while (n > 0) { const int s = Znajdz(n); const int pop = __builtin_popcount(s); if (!output.empty()) { assert(output.back() > s); } assert(1 <= pop and pop <= n); assert(1 <= s); n -= pop; output.push_back(s); } cout << output.size() << endl; for (int i = 0; i < (int) output.size(); i++) { if (i > 0) { cout << " "; } cout << output[i]; } cout << endl; return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 | #include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return {i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (c it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(x...) " [" #x ": " << (x) << "] " #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> template <typename A, typename B> using unordered_map2 = __gnu_pbds::gp_hash_table<A, B>; using namespace __gnu_pbds; template <typename T> using ordered_set = __gnu_pbds::tree<T, __gnu_pbds::null_type, less<T>, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>; // ordered_set<int> s; s.insert(1); s.insert(2); // s.order_of_key(1); // Out: 0. // *s.find_by_order(1); // Out: 2. using ld = long double; using ll = long long; constexpr int mod = 1000 * 1000 * 1000 + 7; constexpr int odw2 = (mod + 1) / 2; void OdejmijOd(int& a, int b) { a -= b; if (a < 0) a += mod; } int Odejmij(int a, int b) { OdejmijOd(a, b); return a; } void DodajDo(int& a, int b) { a += b; if (a >= mod) a -= mod; } int Dodaj(int a, int b) { DodajDo(a, b); return a; } int Mnoz(int a, int b) { return (ll) a * b % mod; } void MnozDo(int& a, int b) { a = Mnoz(a, b); } int Pot(int a, ll b) { int res = 1; while (b) { if (b % 2 == 1) MnozDo(res, a); a = Mnoz(a, a); b /= 2; } return res; } int Odw(int a) { return Pot(a, mod - 2); } void PodzielDo(int& a, int b) { MnozDo(a, Odw(b)); } int Podziel(int a, int b) { return Mnoz(a, Odw(b)); } int Moduluj(ll x) { x %= mod; if (x < 0) x += mod; return x; } template <typename T> T Maxi(T& a, T b) { return a = max(a, b); } template <typename T> T Mini(T& a, T b) { return a = min(a, b); } constexpr int nax = 1000 * 1000 + 105; int pref[nax]; int Znajdz(int x) { assert(1 <= x and x <= pref[nax - 1]); int a = 1, b = nax - 1; while (a < b) { const int c = (a + b) / 2; if (pref[c] >= x) { b = c; } else { a = c + 1; } } assert(pref[a] >= x); assert(pref[a - 1] < x); return a; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); pref[0] = 0; for (int i = 1; i < nax; i++) { pref[i] = pref[i - 1] + __builtin_popcount(i); } int n; cin >> n; vector<int> output; while (n > 0) { const int s = Znajdz(n); const int pop = __builtin_popcount(s); if (!output.empty()) { assert(output.back() > s); } assert(1 <= pop and pop <= n); assert(1 <= s); n -= pop; output.push_back(s); } cout << output.size() << endl; for (int i = 0; i < (int) output.size(); i++) { if (i > 0) { cout << " "; } cout << output[i]; } cout << endl; return 0; } |