#include <bits/stdc++.h>
using namespace std;
using LL = long long;
#define FOR(i, l, r) for (auto i = (l); i <= (r); ++i)
#define REP(i, n) FOR (i, 0, (n)-1)
#define ssize(x) int(x.size())
template<class A, class B>
auto&
operator<<(ostream& o, pair<A, B> p)
{
return o << "(" << p.first << ", " << p.second << ")";
}
template<class T>
auto
operator<<(ostream& o, T x) -> decltype(x.end(), o)
{
o << "{";
int i = 0;
for (auto e : x) o << (", ") + 2 * !i++ << e;
return o << "}";
}
#ifdef DEBUG
#define debug(x...) \
cerr << "[" #x "]: ", [](auto... $) { ((cerr << $ << "; "), ...); }(x), \
cerr << '\n'
#else
#define debug(...) \
{ \
}
#endif
int
count_bits(int n)
{
if (n <= 1)
return n;
int x = sizeof(int)*CHAR_BIT - __builtin_clz(n) - 1;
return x * (1 << (x - 1)) + n - (1 << x) + 1 + count_bits(n - pow(2, x));
}
int
find_x(int n, int l, int r)
{
int mid = (l + r) >> 1;
if (l == r) return mid;
int sb = count_bits(mid);
if (sb < n)
return find_x(n, mid + 1, r);
return find_x(n, l, mid);
}
int
main()
{
cin.tie(0)->sync_with_stdio(0);
// Input
int n;
cin >> n;
// Obtain the sequence
int limit = 120206;
vector<int> out;
while(n)
{
// Find the smallest x such that sum of bits of numbers from 1 to
// x is greater or equal n
int x = find_x(n, 1, limit);
n -= __builtin_popcount(x);
limit = x - 1;
out.push_back(x);
}
// Output
cout << out.size() << "\n";
for (auto x : out) cout << x << " ";
cout << "\n";
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 | #include <bits/stdc++.h> using namespace std; using LL = long long; #define FOR(i, l, r) for (auto i = (l); i <= (r); ++i) #define REP(i, n) FOR (i, 0, (n)-1) #define ssize(x) int(x.size()) template<class A, class B> auto& operator<<(ostream& o, pair<A, B> p) { return o << "(" << p.first << ", " << p.second << ")"; } template<class T> auto operator<<(ostream& o, T x) -> decltype(x.end(), o) { o << "{"; int i = 0; for (auto e : x) o << (", ") + 2 * !i++ << e; return o << "}"; } #ifdef DEBUG #define debug(x...) \ cerr << "[" #x "]: ", [](auto... $) { ((cerr << $ << "; "), ...); }(x), \ cerr << '\n' #else #define debug(...) \ { \ } #endif int count_bits(int n) { if (n <= 1) return n; int x = sizeof(int)*CHAR_BIT - __builtin_clz(n) - 1; return x * (1 << (x - 1)) + n - (1 << x) + 1 + count_bits(n - pow(2, x)); } int find_x(int n, int l, int r) { int mid = (l + r) >> 1; if (l == r) return mid; int sb = count_bits(mid); if (sb < n) return find_x(n, mid + 1, r); return find_x(n, l, mid); } int main() { cin.tie(0)->sync_with_stdio(0); // Input int n; cin >> n; // Obtain the sequence int limit = 120206; vector<int> out; while(n) { // Find the smallest x such that sum of bits of numbers from 1 to // x is greater or equal n int x = find_x(n, 1, limit); n -= __builtin_popcount(x); limit = x - 1; out.push_back(x); } // Output cout << out.size() << "\n"; for (auto x : out) cout << x << " "; cout << "\n"; return 0; } |
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