QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#386881 | #5103. Fair Division | Energy_is_not_over# | AC ✓ | 1819ms | 3876kb | C++17 | 1.9kb | 2024-04-11 20:59:20 | 2024-04-11 20:59:20 |
Judging History
answer
//
// Stvoreno ENERGom o 11.04.24. 14:51:24
//
#include <bits/stdc++.h>
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define F first
#define fir first
#define S second
#define sec second
#define mp make_pair
#define MP make_pair
#define pb push_back
#define PB push_back
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
#ifdef Energy
#define DEBUG for (int _____DEBUG=1;_____DEBUG;_____DEBUG=0)
template<class ...Ts>
auto &PRNT(Ts ...ts) { return ((cerr << ts << " "), ...); }
#define LOG(...) PRNT(#__VA_ARGS__" ::",__VA_ARGS__)<<endl
#else
#define DEBUG while (0)
#define LOG(...)
#endif
const long long inf = 1000111222000111222;
int n;
long long x;
int main() {
// freopen("input_c.txt","r",stdin);
// freopen("output.txt","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> x;
for (int q = 2; ; ++q) {
__int128 pwq = 1;
for (int i = 1; i < n; ++i) {
pwq *= q;
if (pwq > inf) {
cout << "impossible\n";
return 0;
}
}
pwq *= q;
for (int a = q - 1; a >= 1; --a) {
__int128 pwa = 1;
for (int i = 0; i < n; ++i) {
pwa *= a;
}
__int128 denom = pwq - pwa;
__int128 nom = pwq;
nom *= (q - a);
bool ok = 1;
for (int i = 0; i < n && ok; ++i) {
nom /= q;
if (i) {
nom *= a;
}
__int128 g = __gcd(nom, denom);
ok &= x % (denom / g) == 0;
}
if (ok) {
cout << q - a << " " << q << "\n";
return 0;
}
}
}
cout << "impossible\n";
exit(0);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3876kb
input:
13 382475111752106101
output:
17 28
result:
ok single line: '17 28'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
15 227368755046033249
output:
13 14
result:
ok single line: '13 14'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
27 72027091647987988
output:
1 4
result:
ok single line: '1 4'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
12 817283057828223168
output:
10 17
result:
ok single line: '10 17'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
40 279103330129289325
output:
1 2
result:
ok single line: '1 2'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
9 200754090585004509
output:
27 31
result:
ok single line: '27 31'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
13 145272043713167318
output:
11 19
result:
ok single line: '11 19'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
13 330339892079732537
output:
3 5
result:
ok single line: '3 5'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
8 518312274023062851
output:
35 81
result:
ok single line: '35 81'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
8 226575677743060500
output:
3 37
result:
ok single line: '3 37'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
22 947676267664323372
output:
5 6
result:
ok single line: '5 6'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
8 884152939068009488
output:
32 87
result:
ok single line: '32 87'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
10 334992255296783634
output:
1 2
result:
ok single line: '1 2'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
9 387165762000719100
output:
9 26
result:
ok single line: '9 26'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
13 966426794141592430
output:
5 23
result:
ok single line: '5 23'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
30 3882204456
output:
impossible
result:
ok single line: 'impossible'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
17 388292937745500
output:
impossible
result:
ok single line: 'impossible'
Test #19:
score: 0
Accepted
time: 108ms
memory: 3580kb
input:
7 77777777777777777
output:
impossible
result:
ok single line: 'impossible'
Test #20:
score: 0
Accepted
time: 1819ms
memory: 3640kb
input:
6 1
output:
impossible
result:
ok single line: 'impossible'
Test #21:
score: 0
Accepted
time: 1819ms
memory: 3804kb
input:
6 6
output:
impossible
result:
ok single line: 'impossible'
Test #22:
score: 0
Accepted
time: 1816ms
memory: 3636kb
input:
6 666666666
output:
impossible
result:
ok single line: 'impossible'
Test #23:
score: 0
Accepted
time: 1802ms
memory: 3644kb
input:
6 982698952174251648
output:
3966 3967
result:
ok single line: '3966 3967'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
6 998905704529596381
output:
1 2
result:
ok single line: '1 2'
Test #25:
score: 0
Accepted
time: 1816ms
memory: 3828kb
input:
6 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #26:
score: 0
Accepted
time: 108ms
memory: 3632kb
input:
7 983120539989861547
output:
996 997
result:
ok single line: '996 997'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
9 999999999999999998
output:
impossible
result:
ok single line: 'impossible'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
9 999999999999999999
output:
9 10
result:
ok single line: '9 10'
Test #29:
score: 0
Accepted
time: 3ms
memory: 3584kb
input:
9 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
10 983231815060933795
output:
75 97
result:
ok single line: '75 97'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
11 725231960190597311
output:
60 61
result:
ok single line: '60 61'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
12 897612484786617600
output:
1 2
result:
ok single line: '1 2'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
14 897612484786617600
output:
impossible
result:
ok single line: 'impossible'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
100 100000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
8888 888888888888888888
output:
impossible
result:
ok single line: 'impossible'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
1000000 1
output:
impossible
result:
ok single line: 'impossible'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
1000000 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
8 8170370
output:
1 7
result:
ok single line: '1 7'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
6 5386591
output:
1 16
result:
ok single line: '1 16'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
6 9874655
output:
1 18
result:
ok single line: '1 18'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
6 206896
output:
2 9
result:
ok single line: '2 9'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
7 7352101
output:
2 11
result:
ok single line: '2 11'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
6 6373472
output:
2 17
result:
ok single line: '2 17'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
6 1365
output:
3 4
result:
ok single line: '3 4'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
8 5462197
output:
3 8
result:
ok single line: '3 8'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
6 5757975
output:
3 14
result:
ok single line: '3 14'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
6 8913814
output:
4 19
result:
ok single line: '4 19'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
7 19531
output:
4 5
result:
ok single line: '4 5'
Test #50:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
7 7001653
output:
5 12
result:
ok single line: '5 12'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
6 9331
output:
5 6
result:
ok single line: '5 6'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
6 7036512
output:
6 19
result:
ok single line: '6 19'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
6 142753
output:
7 10
result:
ok single line: '7 10'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
6 8453313
output:
7 20
result:
ok single line: '7 20'
Test #55:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
6 8852298
output:
8 17
result:
ok single line: '8 17'
Test #56:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
6 1851063
output:
9 16
result:
ok single line: '9 16'
Test #57:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
6 8399456
output:
10 21
result:
ok single line: '10 21'
Test #58:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
6 7706011
output:
11 21
result:
ok single line: '11 21'
Test #59:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
6 402234
output:
12 13
result:
ok single line: '12 13'
Test #60:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
6 8680651
output:
13 22
result:
ok single line: '13 22'
Test #61:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
6 813616
output:
14 15
result:
ok single line: '14 15'
Test #62:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
6 9851583
output:
15 23
result:
ok single line: '15 23'
Test #63:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
6 9244890
output:
16 23
result:
ok single line: '16 23'
Test #64:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
6 8705249
output:
17 23
result:
ok single line: '17 23'
Test #65:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
6 8223348
output:
18 23
result:
ok single line: '18 23'
Test #66:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
6 5967325
output:
19 22
result:
ok single line: '19 22'
Test #67:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
6 7401758
output:
20 23
result:
ok single line: '20 23'
Test #68:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
6 7049325
output:
21 23
result:
ok single line: '21 23'
Test #69:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
6 8308825
output:
23 24
result:
ok single line: '23 24'
Test #70:
score: 0
Accepted
time: 1817ms
memory: 3872kb
input:
6 999408045844421423
output:
3977 3980
result:
ok single line: '3977 3980'
Extra Test:
score: 0
Extra Test Passed