QOJ.ac
QOJ
| ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
|---|---|---|---|---|---|---|---|---|---|
| #523222 | #5103. Fair Division | Andycipation | AC ✓ | 136ms | 4028kb | C++20 | 1.0kb | 2024-08-17 23:02:04 | 2024-08-17 23:02:05 |
Judging History
answer
/*
* author: ADMathNoob
* created: 08/17/24 01:20:38
* problem: https://qoj.ac/problem/5103
*/
/*
Comments about problem:
*/
#include <bits/stdc++.h>
using namespace std;
#ifdef _DEBUG
#include "debug.h"
#else
#define debug(...) 42
#endif
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n;
long long m;
cin >> n >> m;
int maxQ = (int) pow(m, 1.0 / (n - 1));
while (pow(maxQ + 1, n - 1) <= m) {
maxQ += 1;
}
for (int q = 2; q <= maxQ; q++) {
for (int p = 1; p < q; p++) {
long long powQ = 1;
for (int i = 0; i < n - 1; i++) {
powQ *= q;
}
long long powP = 1;
long long s = 0;
for (int i = 0; i < n; i++) {
s += powP * powQ;
if (s > m) {
break;
}
powP *= q - p;
powQ /= q;
}
assert(0 < s && s <= 2 * m);
if (m % s == 0) {
cout << p << ' ' << q << '\n';
return 0;
}
}
}
cout << "impossible\n";
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 4024kb
input:
13 382475111752106101
output:
17 28
result:
ok single line: '17 28'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
15 227368755046033249
output:
13 14
result:
ok single line: '13 14'
Test #4:
score: 0
Accepted
time: 0ms
memory: 4024kb
input:
27 72027091647987988
output:
1 4
result:
ok single line: '1 4'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
12 817283057828223168
output:
10 17
result:
ok single line: '10 17'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
40 279103330129289325
output:
1 2
result:
ok single line: '1 2'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
9 200754090585004509
output:
27 31
result:
ok single line: '27 31'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
13 145272043713167318
output:
11 19
result:
ok single line: '11 19'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
13 330339892079732537
output:
3 5
result:
ok single line: '3 5'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
8 518312274023062851
output:
35 81
result:
ok single line: '35 81'
Test #11:
score: 0
Accepted
time: 0ms
memory: 4024kb
input:
8 226575677743060500
output:
3 37
result:
ok single line: '3 37'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
22 947676267664323372
output:
5 6
result:
ok single line: '5 6'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3980kb
input:
8 884152939068009488
output:
32 87
result:
ok single line: '32 87'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
10 334992255296783634
output:
1 2
result:
ok single line: '1 2'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
9 387165762000719100
output:
9 26
result:
ok single line: '9 26'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
13 966426794141592430
output:
5 23
result:
ok single line: '5 23'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
30 3882204456
output:
impossible
result:
ok single line: 'impossible'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
17 388292937745500
output:
impossible
result:
ok single line: 'impossible'
Test #19:
score: 0
Accepted
time: 5ms
memory: 3952kb
input:
7 77777777777777777
output:
impossible
result:
ok single line: 'impossible'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
6 1
output:
impossible
result:
ok single line: 'impossible'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3980kb
input:
6 6
output:
impossible
result:
ok single line: 'impossible'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
6 666666666
output:
impossible
result:
ok single line: 'impossible'
Test #23:
score: 0
Accepted
time: 135ms
memory: 3928kb
input:
6 982698952174251648
output:
3966 3967
result:
ok single line: '3966 3967'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
6 998905704529596381
output:
1 2
result:
ok single line: '1 2'
Test #25:
score: 0
Accepted
time: 136ms
memory: 3952kb
input:
6 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #26:
score: 0
Accepted
time: 10ms
memory: 3896kb
input:
7 983120539989861547
output:
996 997
result:
ok single line: '996 997'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
9 999999999999999998
output:
impossible
result:
ok single line: 'impossible'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
9 999999999999999999
output:
9 10
result:
ok single line: '9 10'
Test #29:
score: 0
Accepted
time: 0ms
memory: 4024kb
input:
9 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3928kb
input:
10 983231815060933795
output:
75 97
result:
ok single line: '75 97'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
11 725231960190597311
output:
60 61
result:
ok single line: '60 61'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
12 897612484786617600
output:
1 2
result:
ok single line: '1 2'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
14 897612484786617600
output:
impossible
result:
ok single line: 'impossible'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
100 100000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
8888 888888888888888888
output:
impossible
result:
ok single line: 'impossible'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3980kb
input:
1000000 1
output:
impossible
result:
ok single line: 'impossible'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
1000000 1000000000000000000
output:
impossible
result:
ok single line: 'impossible'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
8 8170370
output:
1 7
result:
ok single line: '1 7'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
6 5386591
output:
1 16
result:
ok single line: '1 16'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
6 9874655
output:
1 18
result:
ok single line: '1 18'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
6 206896
output:
2 9
result:
ok single line: '2 9'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
7 7352101
output:
2 11
result:
ok single line: '2 11'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
6 6373472
output:
2 17
result:
ok single line: '2 17'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
6 1365
output:
3 4
result:
ok single line: '3 4'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
8 5462197
output:
3 8
result:
ok single line: '3 8'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
6 5757975
output:
3 14
result:
ok single line: '3 14'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
6 8913814
output:
4 19
result:
ok single line: '4 19'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
7 19531
output:
4 5
result:
ok single line: '4 5'
Test #50:
score: 0
Accepted
time: 0ms
memory: 3980kb
input:
7 7001653
output:
5 12
result:
ok single line: '5 12'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
6 9331
output:
5 6
result:
ok single line: '5 6'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3936kb
input:
6 7036512
output:
6 19
result:
ok single line: '6 19'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
6 142753
output:
7 10
result:
ok single line: '7 10'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
6 8453313
output:
7 20
result:
ok single line: '7 20'
Test #55:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
6 8852298
output:
8 17
result:
ok single line: '8 17'
Test #56:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
6 1851063
output:
9 16
result:
ok single line: '9 16'
Test #57:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
6 8399456
output:
10 21
result:
ok single line: '10 21'
Test #58:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
6 7706011
output:
11 21
result:
ok single line: '11 21'
Test #59:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
6 402234
output:
12 13
result:
ok single line: '12 13'
Test #60:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
6 8680651
output:
13 22
result:
ok single line: '13 22'
Test #61:
score: 0
Accepted
time: 0ms
memory: 3932kb
input:
6 813616
output:
14 15
result:
ok single line: '14 15'
Test #62:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
6 9851583
output:
15 23
result:
ok single line: '15 23'
Test #63:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
6 9244890
output:
16 23
result:
ok single line: '16 23'
Test #64:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
6 8705249
output:
17 23
result:
ok single line: '17 23'
Test #65:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
6 8223348
output:
18 23
result:
ok single line: '18 23'
Test #66:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
6 5967325
output:
19 22
result:
ok single line: '19 22'
Test #67:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
6 7401758
output:
20 23
result:
ok single line: '20 23'
Test #68:
score: 0
Accepted
time: 0ms
memory: 3988kb
input:
6 7049325
output:
21 23
result:
ok single line: '21 23'
Test #69:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
6 8308825
output:
23 24
result:
ok single line: '23 24'
Test #70:
score: 0
Accepted
time: 136ms
memory: 4028kb
input:
6 999408045844421423
output:
3977 3980
result:
ok single line: '3977 3980'
Extra Test:
score: 0
Extra Test Passed