#include <bits/stdc++.h>
using namespace std;
const int vmax = 40;
const int bsize = 1e6;
long long prec[] = {0, 16875560, 37996352, 58218880, 85307432, 115369928, 145427604, 177042784, 216122416, 265554224, 284435344, 306146560, 325960320, 352927552, 382573344, 413083264, 444714560, 482943904, 531634464, 572835264, 616833168, 678626048, 752552064, 822161544, 863457024, 921961104, 986877184, 1075004936, 1092852544, 1113627204, 1136479008, 1162610400, 1193154120, 1223833104, 1256156288, 1295885856, 1343045008, 1360744608, 1381436744, 1403603744, 1430406184, 1460534048, 1491402948, 1523149600, 1562765088, 1611914256, 1649817352, 1698972808, 1761883268, 1842813056, 1901206024, 1946481864, 2003981832, 2070011456, 2150901380, 2176517440, 2201334812, 2234282848, 2271519196, 2311617632, 2351858884, 2406329440, 2435126212, 2459301416, 2489588784, 2525896784, 2565646932, 2604318880, 2655911956, 2708542760, 2765833280, 2843599008, 2952561920, 2997065292, 3065024792, 3146055748, 3227129936, 3255846960, 3278828640, 3313567032, 3355677268, 3391663764, 3432175632, 3490534720, 3512710304, 3540038892, 3569993312, 3608216104, 3645338720, 3685690176, 3739951184, 3793916184, 3855889672, 3931023696, 4030969484, 4081131816, 4153262400, 4237406480, 4309729472, 4342780672, 4380394592, 4425291040, 4474011712, 4535825536, 4580588672, 4614042976, 4651819312, 4697763872, 4746252416, 4807990400, 4872026368, 4947542592, 5057145088, 5140582720, 5216670528, 5326559232, 5387725440, 5421277664, 5459721088, 5504816128, 5555339520, 5618559296, 5658462976, 5692072992, 5731341184, 5775854976, 5826908288, 5891321920, 5954478208, 6034753664, 6147848448, 6223425808, 6304068224, 6416707712, 6476249216, 6516167488, 6572782880, 6632674432, 6711830784, 6749723200, 6796613248, 6850822272, 6917049600, 6996516992, 7085105280, 7218689664, 7315146880, 7421137024, 7528903712, 7570981280, 7621435680, 7682351616, 7752447360, 7805967392, 7852021088, 7902097984, 7959785600, 8036845696, 8120382528, 8226312448, 8355116864, 8442466880, 8588429312, 8607801864, 8629292576, 8651627072, 8680212160, 8711099968, 8743205008, 8775806992, 8819774976, 8861488720, 8881514568, 8902246944, 8927631936, 8959296776, 8988944960, 9020668480, 9053292800, 9099084320, 9142144208, 9183942464, 9242916928, 9307697296, 9397735248, 9436216064, 9489765440, 9552097408, 9634335808, 9675461648, 9699525080, 9718682016, 9745990816, 9776563264, 9807360288, 9840232592, 9880027968, 9930896704, 9949810048, 9971340560, 9993530912, 10022304160, 10053041200, 10085283712, 10117752064, 10161543744, 10206271680, 10246819264, 10303646544, 10368805504, 10450380096, 10503562560, 10545595792, 10609496272, 10679453760, 10744643088, 10774052480, 10801398560, 10839528528, 10876116128, 10912932128, 10962735300, 11010688832, 11040105104, 11062939848, 11100281408, 11140829840, 11178062480, 11224006976, 11278892864, 11329204744, 11403609664, 11487524096, 11568597248, 11626710176, 11706434304, 11811366632, 11833844352, 11861541792, 11893231952, 11931407936, 11969517184, 12013288608, 12067877760, 12098830640, 12123894336, 12154097744, 12193700128, 12233040068, 12271432416, 12327536128, 12382933456, 12440366336, 12520071248, 12619992128, 12669348480, 12740481696, 12824422720, 12900705168, 12935431504, 12975151376, 13021336384, 13073922464, 13140308608, 13179646240, 13214636096, 13258270880, 13304598640, 13360211232, 13427303824, 13494250240, 13587761408, 13697159504, 13764661968, 13859000640, 13963310032, 13997338240, 14034018464, 14077726016, 14130652864, 14193654592, 14240941072, 14275453584, 14315642912, 14361994400, 14413354624, 14479238176, 14543101456, 14623900224, 14737322144, 14814472832, 14898196560, 15010984192, 15067613344, 15112391712, 15169563040, 15235981984, 15306397264, 15351175488, 15403027520, 15460507936, 15536232608, 15611412752, 15711019648, 15845734528, 15938704592, 16061328640, 16137007376, 16179019040, 16237026880, 16299279616, 16377174656, 16417065248, 16469254432, 16526725760, 16597228352, 16679150224, 16774464576, 16913805648, 16996670080, 17117079872, 17201135780, 17239426336, 17291231240, 17353729056, 17437326368, 17481255168, 17520334440, 17574418184, 17639686944, 17727658816, 17817693952, 17966785664, 18055828488, 18183320704, 18275091784, 18313969952, 18365674016, 18427977764, 18511959172, 18555679924, 18594512272, 18649014408, 18714050848, 18803080960, 18892461448, 19043190280, 19130564866, 19259368704, 19355342404, 19408459010, 19480343840, 19571790368, 19631948872, 19686109700, 19762034212, 19859804704, 19969118280, 20143815680, 20260051456, 20411450624, 20458927752, 20525201696, 20607169824, 20688650312, 20738599200, 20806829316, 20892406786, 20994659876, 21152320000, 21282665472, 21462073632, 21529663016, 21604176648, 21712998920, 21786331176, 21858110752, 21958867488, 22084147202, 22284697672, 22424462464, 22574601888, 22641135882, 22732483200, 22834112008, 22897066088, 22983246368, 23102687112, 23253288456, 23425336840, 23623542408, 23699968584, 23810584864, 23925016896, 24012477000, 24144834848, 24325820672, 24533308576, 24722030688, 24809800200, 24936686608, 25025193216, 25128966944, 25272799816, 25503780936, 25692225824, 25798117536, 25839332128, 25894290948, 25960935428, 26043036416, 26081607944, 26129453216, 26190442656, 26265852192, 26351210564, 26462064000, 26600483852, 26698138760, 26846499688, 26884229792, 26931728772, 26990681220, 27065308704, 27130951840, 27169183424, 27222868256, 27286470820, 27372392992, 27454675264, 27586270728, 27702420104, 27819697280, 27937039364, 27987906856, 28058169988, 28152817952, 28219744932, 28273854024, 28348736768, 28448444960, 28558240384, 28733081092, 28848491072, 29002012740, 29050811656, 29121139784, 29207301136, 29282878668, 29334651424, 29410670464, 29502527776, 29611093248, 29788005632, 29901384832, 30070975104, 30136417424, 30221639968, 30337652552, 30401645864, 30485868832, 30606244872, 30750434432, 30930379904, 31128354976, 31197039392, 31277636224, 31395141152, 31462399296, 31542285456, 31658086688, 31793130112, 31982841600, 32154788992, 32270674560, 32380384544, 32502449056, 32590209544, 32721365280, 32893134080, 33107841864, 33308031264, 33396214304, 33527237008, 33620480576, 33727186720, 33877627016, 34108444744, 34311653504, 34381899528, 34414927296, 34479441108, 34528270036, 34582375472, 34641675924, 34673124448, 34729663024, 34781979232, 34828513568, 34914552128, 35033099972, 35170096324, 35271350344, 35418948160, 35458484384, 35491431496, 35559249056, 35604313828, 35669142080, 35719537824, 35752469920, 35807586464, 35859370148, 35907936900, 35996000448, 36112605456, 36250058820, 36363502656, 36508114468, 36545178628, 36608836612, 36665179968, 36725808704, 36793897376, 36832949316, 36913260432, 36959524624, 37047141444, 37184705732, 37335641920, 37482497936, 37597583184, 37636359072, 37717413060, 37757740832, 37849471204, 37885982084, 37941270176, 38005463712, 38058075792, 38161339408, 38309940864, 38460492944, 38633813520, 38695996168, 38784995912};
int my_gcd[vmax + 5][vmax + 5];
long long get_val_gcd(long long val)
{
int k = 0;
for(int b=0;b<=vmax;b++)
{
if((val & (1LL<<b)) != 0)
{
k = b + 1;
}
}
for(int a=k;a>=1;a--)
{
for(int b=a-1;b>=1;b--)
{
if(!(val & (1LL<<(a - 1))) || !(val & (1LL<<(b - 1))) )
{
continue;
}
val |= (1LL<<(my_gcd[a][b] - 1));
}
}
return val;
}
long long get_next(long long val)
{
long long val_gcd = get_val_gcd(val);
for(int b=1;b<=vmax;b++)
{
if((val & (1LL<<(b-1))) == 0 && (val_gcd & (1LL<<(b-1))) == 0)
{
val += (1LL<<(b - 1));
break;
}
if((val & (1LL<<(b-1))) != 0)
{
val -= (1LL<<(b - 1));
}
}
return val;
}
void solve_test()
{
int k;
cin>>k;
int start = (k / bsize) * bsize;
long long rez = prec[k / bsize];
for(int i=start+1;i<=k;i++)
{
rez = get_next(rez);
}
long long val_gcd = get_val_gcd(rez);
vector<int> r;
for(int val=1;val<=vmax;val++)
{
if(val_gcd & (1LL<<(val-1)))
{
r.push_back(val);
}
}
cout<<r.size()<<' ';
for(auto it : r)
{
cout<<it<<' ';
}
cout<<'\n';
}
int main()
{
#ifdef home
freopen("nr.in","r",stdin);
freopen("nr.out","w",stdout);
#endif // home
for(int i=1; i<=vmax; i++)
{
for(int j=1; j<=vmax; j++)
{
my_gcd[i][j] = __gcd(i,j);
}
}
int t;
cin>>t;
for(int test=1;test<=t;test++)
{
solve_test();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1109 ms |
420 KB |
Output is correct |
8 |
Correct |
1668 ms |
424 KB |
Output is correct |
9 |
Correct |
1277 ms |
348 KB |
Output is correct |
10 |
Correct |
1512 ms |
416 KB |
Output is correct |
11 |
Correct |
747 ms |
344 KB |
Output is correct |
12 |
Correct |
1442 ms |
416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1109 ms |
420 KB |
Output is correct |
8 |
Correct |
1668 ms |
424 KB |
Output is correct |
9 |
Correct |
1277 ms |
348 KB |
Output is correct |
10 |
Correct |
1512 ms |
416 KB |
Output is correct |
11 |
Correct |
747 ms |
344 KB |
Output is correct |
12 |
Correct |
1442 ms |
416 KB |
Output is correct |
13 |
Correct |
1909 ms |
348 KB |
Output is correct |
14 |
Correct |
1723 ms |
420 KB |
Output is correct |
15 |
Correct |
2486 ms |
344 KB |
Output is correct |
16 |
Correct |
1853 ms |
428 KB |
Output is correct |
17 |
Correct |
2270 ms |
424 KB |
Output is correct |
18 |
Correct |
2574 ms |
420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1109 ms |
420 KB |
Output is correct |
8 |
Correct |
1668 ms |
424 KB |
Output is correct |
9 |
Correct |
1277 ms |
348 KB |
Output is correct |
10 |
Correct |
1512 ms |
416 KB |
Output is correct |
11 |
Correct |
747 ms |
344 KB |
Output is correct |
12 |
Correct |
1442 ms |
416 KB |
Output is correct |
13 |
Correct |
1909 ms |
348 KB |
Output is correct |
14 |
Correct |
1723 ms |
420 KB |
Output is correct |
15 |
Correct |
2486 ms |
344 KB |
Output is correct |
16 |
Correct |
1853 ms |
428 KB |
Output is correct |
17 |
Correct |
2270 ms |
424 KB |
Output is correct |
18 |
Correct |
2574 ms |
420 KB |
Output is correct |
19 |
Incorrect |
2390 ms |
420 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1109 ms |
420 KB |
Output is correct |
8 |
Correct |
1668 ms |
424 KB |
Output is correct |
9 |
Correct |
1277 ms |
348 KB |
Output is correct |
10 |
Correct |
1512 ms |
416 KB |
Output is correct |
11 |
Correct |
747 ms |
344 KB |
Output is correct |
12 |
Correct |
1442 ms |
416 KB |
Output is correct |
13 |
Correct |
1909 ms |
348 KB |
Output is correct |
14 |
Correct |
1723 ms |
420 KB |
Output is correct |
15 |
Correct |
2486 ms |
344 KB |
Output is correct |
16 |
Correct |
1853 ms |
428 KB |
Output is correct |
17 |
Correct |
2270 ms |
424 KB |
Output is correct |
18 |
Correct |
2574 ms |
420 KB |
Output is correct |
19 |
Incorrect |
2390 ms |
420 KB |
Output isn't correct |
20 |
Halted |
0 ms |
0 KB |
- |