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
#include<bits/stdc++.h>
using namespace std;
#ifdef LOC
template <class T, class U> auto &operator<<(ostream &out, pair<T, U> a) { return out << "(" << a.first << ", " << a.second << ")"; }
template <class T, class = class enable_if<!is_same<T, string>(), class T::iterator>::type> auto &operator<<(ostream &out, T a) {
    out << "{";
    bool fi = 1;
    for(auto b : a) {
        if(fi) {out<<b; fi=0;}
        else out<<", "<<b;
    }
    return out << "}";
}

template <class T, class X, class Y> auto &operator<<(ostream &out, const priority_queue<T,X,Y>& a) {auto b = a; vector<T> v; while(!b.empty()) {v.push_back(b.top()); b.pop();} return out<<v; }
void dump(){
   cerr << "\e[39m"<<"\n";
}
template <class T, class... Ts> void dump(T a, Ts... x) {
   cerr << a << ", ";
   dump(x...);
}
#define debug(...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<"\t"<<"[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#define debug(...) ;
#endif

#define fwd(i, a, b) for(int i=(a);i<(int)(b);i++)
#define rep(i, n) for(int i=0;i<(int)(n);i++)
#define all(X) (X).begin(), (X).end()
#define sz(X) ((int)(X).size())
#define mp make_pair
#define st first
#define nd second
typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;



int32_t main(){
    ios::sync_with_stdio(false);
    int n;
    cin >> n;
    vector<int> ps(n+5);
    fwd(i,1,sz(ps))
        ps[i] = ps[i-1] + __builtin_popcount(i);
    
    vi res;
    for(int i=sz(ps)-1;i>0;i--) {
        if(n <= ps[i] && n > ps[i-1]) {
            res.push_back(i);
            n -= (ps[i]-ps[i-1]);
        }
    }
    cout<<sz(res)<<"\n";
    for(auto a:res) cout<<a<<" ";
}