/* -----------------------
Autor: Tomasz Boguslawski
-------------------------- */
#include<cstdio>
#include<cstdlib>
#include<iostream>
#include<fstream>
#include<iomanip>
#include<string>
#include<sstream>
#include<cstring>
#include<map>
#include<vector>
#include<set>
#include<queue>
#include<algorithm>
#include <fstream>
#include<math.h>
#define LL long long
#define FOR(x, b, e) for(LL x = b; x <= (e); x++)
#define FORS(x, b, e, s) for(LL x = b; x <= (e); x+=s)
#define FORD(x, b, e) for(LL x = b; x >= (e); x--)
#define VAR(v, n) __typeof(n) v = (n)
#define ALL(c) (c).begin(), (c).end()
#define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define DEBUG if (debug)
#define MIN(a,b) ((a>b)?b:a)
#define MAX(a,b) ((a>b)?a:b)
using namespace std;
LL f[1000007];
LL bitCount(LL num)
{
LL count=0;
while (num>0)
{
if (num%2==1) count++;
num = num / 2;
}
return count;
}
void count_f()
{
f[1]=1;
FOR(k,2,1000000)
{
FOR(j,f[k-1],1000000)
{
// check if j could be first element of sequence for k
LL c = bitCount(j);
LL bitsLeft=k-c;
if (bitsLeft<0) continue; // bad
if ((bitsLeft==0)||(f[bitsLeft]<j)) { f[k]=j; break; };
}
//cout << k << ": " << f[k] << "\n"; cout.flush();
//if (f[k]<f[k-1]) { cout << "!!! " << k << "\n"; break; };
}
}
/// MAIN
int main(int argc, char* argv[])
{
// magic formula, which makes streams work faster:
ios_base::sync_with_stdio(0);
count_f();
LL n;
cin >> n;
vector<LL> seq;
LL elem;
while (n>0)
{
elem = f[n];
seq.push_back(elem);
n -= bitCount(elem);
}
cout << seq.size() << "\n";
FOREACH(ep,seq) cout << *ep << ' ';
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 80 81 82 83 84 | /* ----------------------- Autor: Tomasz Boguslawski -------------------------- */ #include<cstdio> #include<cstdlib> #include<iostream> #include<fstream> #include<iomanip> #include<string> #include<sstream> #include<cstring> #include<map> #include<vector> #include<set> #include<queue> #include<algorithm> #include <fstream> #include<math.h> #define LL long long #define FOR(x, b, e) for(LL x = b; x <= (e); x++) #define FORS(x, b, e, s) for(LL x = b; x <= (e); x+=s) #define FORD(x, b, e) for(LL x = b; x >= (e); x--) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define DEBUG if (debug) #define MIN(a,b) ((a>b)?b:a) #define MAX(a,b) ((a>b)?a:b) using namespace std; LL f[1000007]; LL bitCount(LL num) { LL count=0; while (num>0) { if (num%2==1) count++; num = num / 2; } return count; } void count_f() { f[1]=1; FOR(k,2,1000000) { FOR(j,f[k-1],1000000) { // check if j could be first element of sequence for k LL c = bitCount(j); LL bitsLeft=k-c; if (bitsLeft<0) continue; // bad if ((bitsLeft==0)||(f[bitsLeft]<j)) { f[k]=j; break; }; } //cout << k << ": " << f[k] << "\n"; cout.flush(); //if (f[k]<f[k-1]) { cout << "!!! " << k << "\n"; break; }; } } /// MAIN int main(int argc, char* argv[]) { // magic formula, which makes streams work faster: ios_base::sync_with_stdio(0); count_f(); LL n; cin >> n; vector<LL> seq; LL elem; while (n>0) { elem = f[n]; seq.push_back(elem); n -= bitCount(elem); } cout << seq.size() << "\n"; FOREACH(ep,seq) cout << *ep << ' '; cout << "\n"; return 0; } |
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