#include <bits/stdc++.h>
using namespace std;
const int M = 40;
const int MM = 20;
int g[55][55];
int f[(1 << MM) + 5];///1 daca masca asta e ok, 0 daca nu
int f2[(1 << MM) + 5];///cate supramasti sunt ok
int m;
void testcase()
{
cin >> m;
if (m == 0)
{
cout << 0 << '\n';
return;
}
m++;
for (int mask2 = 0; mask2 < (1 << MM); mask2++)
{
int mm = 0;
for (int i = 0; i < MM; i++)
{
for (int j = 0; j < MM; j++)
{
if ((mask2 & (1 << i)) and (mask2 & (1 << j)))
{
int gg = g[MM + 1 + i][MM + 1 + j];
mm |= (1 << (gg - 1));
}
}
}
if (m > f2[mm])
m -= f2[mm];
else
{
for (int mask = 0; mask < (1 << MM); mask++)
{
if ((mm & mask) == mm and f[mask] == 1)
{
m--;
if (m == 0)
{
vector<int> v;
for (int i = 0; i < MM; i++)
if (mask & (1 << i))
v.push_back(i + 1);
for (int i = 0; i < MM; i++)
if (mask2 & (1 << i))
v.push_back(MM + 1 + i);
cout << v.size() << ' ';
for (auto it : v)
cout << it << ' ';
cout << '\n';
return;
}
}
}
}
}
}
int main()
{
for (int i = 1; i <= 50; i++)
for (int j = 1; j <= 50; j++)
g[i][j] = __gcd(i, j);
for (int mask = 0; mask < (1 << MM); mask++)
{
bool nah = false;
for (int i = 0; i < MM; i++)
{
for (int j = 0; j < MM; j++)
{
if ((mask & (1 << i)) and (mask & (1 << j)))
{
if (!(mask & (1 << (g[i + 1][j + 1] - 1))))
nah = true;
}
}
}
if (!nah)
f[mask] = 1;
}
for (int i = 0; i < (1 << MM); i++)
f2[i] = f[i];
for (int i = 0; i < MM; i++)
{
for (int j = 0; j < (1 << MM); j++)
{
if (!(j & (1 << i)))
f2[j] += f2[j + (1 << i)];
}
}
int tc;
cin >> tc;
while (tc--)
testcase();
return 0;
}
/**
maximul <= M (M <= 44 sigur, probabil considerabil mai putin dar idk)
Aleg brut pe care din ultimele M / 2 le folosesc, direct ele isi vor genera un set
Acum vreau sa vad: din primele M / 2, cate seturi valide am care si includ setul impus de alea mari?
Sounds like SOS
Acum ca am gasit exact ce masca voi avea din ultimele M / 2, doar dau brut prin alea mici
Ar trebui sa fie vreo 2^(M / 2) * M sau cv
**/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
738 ms |
8436 KB |
Output is correct |
2 |
Correct |
817 ms |
8616 KB |
Output is correct |
3 |
Correct |
664 ms |
8544 KB |
Output is correct |
4 |
Correct |
645 ms |
8492 KB |
Output is correct |
5 |
Correct |
684 ms |
8648 KB |
Output is correct |
6 |
Correct |
718 ms |
8588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
738 ms |
8436 KB |
Output is correct |
2 |
Correct |
817 ms |
8616 KB |
Output is correct |
3 |
Correct |
664 ms |
8544 KB |
Output is correct |
4 |
Correct |
645 ms |
8492 KB |
Output is correct |
5 |
Correct |
684 ms |
8648 KB |
Output is correct |
6 |
Correct |
718 ms |
8588 KB |
Output is correct |
7 |
Runtime error |
703 ms |
17096 KB |
Execution killed with signal 11 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
738 ms |
8436 KB |
Output is correct |
2 |
Correct |
817 ms |
8616 KB |
Output is correct |
3 |
Correct |
664 ms |
8544 KB |
Output is correct |
4 |
Correct |
645 ms |
8492 KB |
Output is correct |
5 |
Correct |
684 ms |
8648 KB |
Output is correct |
6 |
Correct |
718 ms |
8588 KB |
Output is correct |
7 |
Runtime error |
703 ms |
17096 KB |
Execution killed with signal 11 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
738 ms |
8436 KB |
Output is correct |
2 |
Correct |
817 ms |
8616 KB |
Output is correct |
3 |
Correct |
664 ms |
8544 KB |
Output is correct |
4 |
Correct |
645 ms |
8492 KB |
Output is correct |
5 |
Correct |
684 ms |
8648 KB |
Output is correct |
6 |
Correct |
718 ms |
8588 KB |
Output is correct |
7 |
Runtime error |
703 ms |
17096 KB |
Execution killed with signal 11 |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
738 ms |
8436 KB |
Output is correct |
2 |
Correct |
817 ms |
8616 KB |
Output is correct |
3 |
Correct |
664 ms |
8544 KB |
Output is correct |
4 |
Correct |
645 ms |
8492 KB |
Output is correct |
5 |
Correct |
684 ms |
8648 KB |
Output is correct |
6 |
Correct |
718 ms |
8588 KB |
Output is correct |
7 |
Runtime error |
703 ms |
17096 KB |
Execution killed with signal 11 |
8 |
Halted |
0 ms |
0 KB |
- |