#include <bits/stdc++.h>
using namespace std;
/*ifstream fin("present.in");
ofstream fout("present.out");*/
typedef long long ll;
unordered_map<ll,ll> D,X;
vector<ll> mem=
{
2,
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193638865918,
193823190126,
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194220198590,
194428542078,
194715514878,
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195320401662,
195494026430,
195606112190,
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196055998334,
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196336942590,
196545787390,
196805574142,
197114275582,
197402389950,
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198176483070,
198317970430,
198517546750,
198774353918,
199179526910,
199455145470,
199768990654,
199911045630,
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200299159422,
200438066622,
200625082110,
200875319038,
201230765822,
201542438654,
201903030142,
202076234686,
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202520448958,
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204132765630,
204350062078,
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206323891966,
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};
void precalc()
{
for(int i=1;i<=40;i++)
for(int j=1;j<=40;j++)
if(i>j)
{
int k=__gcd(i,j);
ll I=(1LL<<i);
ll J=(1LL<<j);
ll K=(1LL<<k);
if(J==K)
D[I]|=K;
X[I|K]|=J;
X[J|K]|=I;
}
}
struct gcdSet
{
vector<ll> ST;
ll val;
int ord;
gcdSet()
{
val=1LL<<1;
ST.push_back(val);
ord=1;
}
void nxt()
{
ll aux=val+2LL;
ll bit=(aux&(-aux));
while(ST.size()&&ST.back()<bit)
{
val-=ST.back();
ST.pop_back();
}
ll di=D[bit]-(D[bit]&val);
ll st=bit;
while(di)
{
ll divi=(di&(-di));
if(X[divi|bit]&val)
st|=divi;
di-=divi;
}
ST.push_back(st);
val|=st;
ord++;
}
};
gcdSet gSet(int i)
{
gcdSet ret;
ll aux=mem[i];
vector<ll> St;
ll Val=0LL;
int Ord=1000000*i+1;
for(ll bit=1LL<<37; bit>1LL; bit>>=1)
if(aux&bit)
{
ll st=bit;
ll di=D[bit]-(D[bit]&Val);
while(di)
{
ll diBit=di&(-di);
if(X[bit|diBit]&Val)
st|=diBit;
di-=diBit;
}
St.push_back(st);
Val|=st;
aux^=st;
}
ret.val=Val;
ret.ST=St;
ret.ord=Ord;
return ret;
}
void solve()
{
ll k;
cin>>k;
if(k==0)
{
cout<<0<<'\n';
return;
}
ll poz=k/1000000;
gcdSet A=gSet(poz);
while(A.ord<k)
A.nxt();
ll mask=A.val;
vector<int> vals;
for(int bit=1;bit<=40;bit++)
if((mask>>bit)&1)
vals.push_back(bit);
cout<<vals.size()<<' ';
for(auto i:vals)
cout<<i<<' ';
cout<<'\n';
}
int main()
{
precalc();
ll t;
cin>>t;
while(t--)
solve();
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
41 ms |
204 KB |
Output is correct |
| 8 |
Correct |
72 ms |
316 KB |
Output is correct |
| 9 |
Correct |
65 ms |
204 KB |
Output is correct |
| 10 |
Correct |
67 ms |
204 KB |
Output is correct |
| 11 |
Correct |
31 ms |
204 KB |
Output is correct |
| 12 |
Correct |
56 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
41 ms |
204 KB |
Output is correct |
| 8 |
Correct |
72 ms |
316 KB |
Output is correct |
| 9 |
Correct |
65 ms |
204 KB |
Output is correct |
| 10 |
Correct |
67 ms |
204 KB |
Output is correct |
| 11 |
Correct |
31 ms |
204 KB |
Output is correct |
| 12 |
Correct |
56 ms |
204 KB |
Output is correct |
| 13 |
Correct |
38 ms |
204 KB |
Output is correct |
| 14 |
Correct |
37 ms |
204 KB |
Output is correct |
| 15 |
Correct |
55 ms |
320 KB |
Output is correct |
| 16 |
Correct |
39 ms |
204 KB |
Output is correct |
| 17 |
Correct |
50 ms |
204 KB |
Output is correct |
| 18 |
Correct |
54 ms |
204 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
41 ms |
204 KB |
Output is correct |
| 8 |
Correct |
72 ms |
316 KB |
Output is correct |
| 9 |
Correct |
65 ms |
204 KB |
Output is correct |
| 10 |
Correct |
67 ms |
204 KB |
Output is correct |
| 11 |
Correct |
31 ms |
204 KB |
Output is correct |
| 12 |
Correct |
56 ms |
204 KB |
Output is correct |
| 13 |
Correct |
38 ms |
204 KB |
Output is correct |
| 14 |
Correct |
37 ms |
204 KB |
Output is correct |
| 15 |
Correct |
55 ms |
320 KB |
Output is correct |
| 16 |
Correct |
39 ms |
204 KB |
Output is correct |
| 17 |
Correct |
50 ms |
204 KB |
Output is correct |
| 18 |
Correct |
54 ms |
204 KB |
Output is correct |
| 19 |
Correct |
55 ms |
204 KB |
Output is correct |
| 20 |
Correct |
49 ms |
320 KB |
Output is correct |
| 21 |
Correct |
38 ms |
204 KB |
Output is correct |
| 22 |
Correct |
32 ms |
324 KB |
Output is correct |
| 23 |
Correct |
41 ms |
204 KB |
Output is correct |
| 24 |
Correct |
28 ms |
320 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
204 KB |
Output is correct |
| 2 |
Correct |
0 ms |
204 KB |
Output is correct |
| 3 |
Correct |
1 ms |
204 KB |
Output is correct |
| 4 |
Correct |
0 ms |
204 KB |
Output is correct |
| 5 |
Correct |
0 ms |
204 KB |
Output is correct |
| 6 |
Correct |
0 ms |
204 KB |
Output is correct |
| 7 |
Correct |
41 ms |
204 KB |
Output is correct |
| 8 |
Correct |
72 ms |
316 KB |
Output is correct |
| 9 |
Correct |
65 ms |
204 KB |
Output is correct |
| 10 |
Correct |
67 ms |
204 KB |
Output is correct |
| 11 |
Correct |
31 ms |
204 KB |
Output is correct |
| 12 |
Correct |
56 ms |
204 KB |
Output is correct |
| 13 |
Correct |
38 ms |
204 KB |
Output is correct |
| 14 |
Correct |
37 ms |
204 KB |
Output is correct |
| 15 |
Correct |
55 ms |
320 KB |
Output is correct |
| 16 |
Correct |
39 ms |
204 KB |
Output is correct |
| 17 |
Correct |
50 ms |
204 KB |
Output is correct |
| 18 |
Correct |
54 ms |
204 KB |
Output is correct |
| 19 |
Correct |
55 ms |
204 KB |
Output is correct |
| 20 |
Correct |
49 ms |
320 KB |
Output is correct |
| 21 |
Correct |
38 ms |
204 KB |
Output is correct |
| 22 |
Correct |
32 ms |
324 KB |
Output is correct |
| 23 |
Correct |
41 ms |
204 KB |
Output is correct |
| 24 |
Correct |
28 ms |
320 KB |
Output is correct |
| 25 |
Correct |
44 ms |
204 KB |
Output is correct |
| 26 |
Correct |
31 ms |
204 KB |
Output is correct |
| 27 |
Correct |
33 ms |
316 KB |
Output is correct |
| 28 |
Correct |
46 ms |
204 KB |
Output is correct |
| 29 |
Correct |
33 ms |
204 KB |
Output is correct |
| 30 |
Correct |
65 ms |
368 KB |
Output is correct |
