QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #379994 | #5103. Fair Division | cciafrino# | AC ✓ | 399ms | 3864kb | C++20 | 1.1kb | 2024-04-06 20:26:48 | 2024-04-06 20:26:50 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
const ll INF = 3e18;
__int128_t mul(ll a, ll b) {
__int128_t ret = __int128_t(a) * b;
return ret;
}
__int128_t pw(__int128_t b, __int128_t e) {
__int128_t ans = 1;
for (; e; b = mul(b, b), e /= 2) {
if (e & 1) ans = mul(ans, b);
}
return ans;
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int N; ll M; cin >> N >> M; N--;
pair<ll, ll> ans;
bool found = false;
for (int q = 2; pw(q, N) <= M; ++q) {
if (found) break;
for (int p = 1; p < q; ++p) {
__int128_t S = 0;
for (int i = 0; i <= N; ++i) {
S += mul(pw(q, i), pw(p, N-i));
if (S > INF) S = INF;
}
if (S > 0 && M % S == 0) {
ans = {q-p, q};
found = true;
}
}
}
if (found) cout << ans.first << ' ' << ans.second << '\n';
else cout << "impossible\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3852kb
input:
13 382475111752106101
output:
17 28
result:
ok single line: '17 28'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
15 227368755046033249
output:
13 14
result:
ok single line: '13 14'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
27 72027091647987988
output:
1 4
result:
ok single line: '1 4'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
12 817283057828223168
output:
10 17
result:
ok single line: '10 17'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
40 279103330129289325
output:
1 2
result:
ok single line: '1 2'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
9 200754090585004509
output:
27 31
result:
ok single line: '27 31'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3788kb
input:
13 145272043713167318
output:
11 19
result:
ok single line: '11 19'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
13 330339892079732537
output:
3 5
result:
ok single line: '3 5'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
8 518312274023062851
output:
35 81
result:
ok single line: '35 81'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
8 226575677743060500
output:
3 37
result:
ok single line: '3 37'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
22 947676267664323372
output:
5 6
result:
ok single line: '5 6'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
8 884152939068009488
output:
32 87
result:
ok single line: '32 87'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
10 334992255296783634
output:
1 2
result:
ok single line: '1 2'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
9 387165762000719100
output:
9 26
result:
ok single line: '9 26'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
13 966426794141592430
output:
5 23
result:
ok single line: '5 23'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
30 3882204456
output:
impossible
result:
ok single line: 'impossible'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
17 388292937745500
output:
impossible
result:
ok single line: 'impossible'
Test #19:
score: 0
Accepted
time: 14ms
memory: 3560kb
input:
7 77777777777777777
output:
impossible
result:
ok single line: 'impossible'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
6 1
output:
impossible
result:
ok single line: 'impossible'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
6 6
output:
impossible
result:
ok single line: 'impossible'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
6 666666666
output:
impossible
result:
ok single line: 'impossible'
Test #23:
score: 0
Accepted
time: 399ms
memory: 3544kb
input:
6 982698952174251648
output:
3966 3967
result:
ok single line: '3966 3967'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
6 998905704529596381
output:
1 2
result:
ok single line: '1 2'
Test #25:
score: 0
Accepted
time: 397ms
memory: 3856kb
input:
6 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #26:
score: 0
Accepted
time: 31ms
memory: 3552kb
input:
7 983120539989861547
output:
996 997
result:
ok single line: '996 997'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3592kb
input:
9 999999999999999998
output:
impossible
result:
ok single line: 'impossible'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
9 999999999999999999
output:
9 10
result:
ok single line: '9 10'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
9 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
10 983231815060933795
output:
75 97
result:
ok single line: '75 97'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
11 725231960190597311
output:
60 61
result:
ok single line: '60 61'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
12 897612484786617600
output:
1 2
result:
ok single line: '1 2'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
14 897612484786617600
output:
impossible
result:
ok single line: 'impossible'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
100 100000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #36:
score: 0
Accepted
time: 17ms
memory: 3624kb
input:
8888 888888888888888888
output:
impossible
result:
ok single line: 'impossible'
Test #37:
score: 0
Accepted
time: 174ms
memory: 3652kb
input:
1000000 1
output:
impossible
result:
ok single line: 'impossible'
Test #38:
score: 0
Accepted
time: 174ms
memory: 3560kb
input:
1000000 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
8 8170370
output:
1 7
result:
ok single line: '1 7'
Test #40:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
6 5386591
output:
1 16
result:
ok single line: '1 16'
Test #41:
score: 0
Accepted
time: 1ms
memory: 3500kb
input:
6 9874655
output:
1 18
result:
ok single line: '1 18'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
6 206896
output:
2 9
result:
ok single line: '2 9'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
7 7352101
output:
2 11
result:
ok single line: '2 11'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
6 6373472
output:
2 17
result:
ok single line: '2 17'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
6 1365
output:
3 4
result:
ok single line: '3 4'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
8 5462197
output:
3 8
result:
ok single line: '3 8'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
6 5757975
output:
3 14
result:
ok single line: '3 14'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
6 8913814
output:
4 19
result:
ok single line: '4 19'
Test #49:
score: 0
Accepted
time: 1ms
memory: 3500kb
input:
7 19531
output:
4 5
result:
ok single line: '4 5'
Test #50:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
7 7001653
output:
5 12
result:
ok single line: '5 12'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
6 9331
output:
5 6
result:
ok single line: '5 6'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
6 7036512
output:
6 19
result:
ok single line: '6 19'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
6 142753
output:
7 10
result:
ok single line: '7 10'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
6 8453313
output:
7 20
result:
ok single line: '7 20'
Test #55:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
6 8852298
output:
8 17
result:
ok single line: '8 17'
Test #56:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
6 1851063
output:
9 16
result:
ok single line: '9 16'
Test #57:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
6 8399456
output:
10 21
result:
ok single line: '10 21'
Test #58:
score: 0
Accepted
time: 0ms
memory: 3556kb
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: 1ms
memory: 3788kb
input:
6 8680651
output:
13 22
result:
ok single line: '13 22'
Test #61:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
6 813616
output:
14 15
result:
ok single line: '14 15'
Test #62:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
6 9851583
output:
15 23
result:
ok single line: '15 23'
Test #63:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
6 9244890
output:
16 23
result:
ok single line: '16 23'
Test #64:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
6 8705249
output:
17 23
result:
ok single line: '17 23'
Test #65:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
6 8223348
output:
18 23
result:
ok single line: '18 23'
Test #66:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
6 5967325
output:
19 22
result:
ok single line: '19 22'
Test #67:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
6 7401758
output:
20 23
result:
ok single line: '20 23'
Test #68:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
6 7049325
output:
21 23
result:
ok single line: '21 23'
Test #69:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
6 8308825
output:
23 24
result:
ok single line: '23 24'
Test #70:
score: 0
Accepted
time: 390ms
memory: 3816kb
input:
6 999408045844421423
output:
3977 3980
result:
ok single line: '3977 3980'
Extra Test:
score: 0
Extra Test Passed