QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #87775 | #5103. Fair Division | zoker# | TL | 20ms | 8112kb | Python3 | 565b | 2023-03-14 09:38:29 | 2023-03-14 09:38:30 |
Judging History
answer
import math
def ok(n, m, p, q):
if (n >= 60):
return False
calc = 0
for i in range(0, n):
calc = calc + (q ** i) * (p ** (n - i - 1))
for i in range(1, n + 1):
t = (q ** (n - i)) * (p ** (i - 1)) * m
if (t % calc != 0):
return False
return True
n, m = map(int, input().split())
N = 2000
for q in range(2, N):
for p in range(q - 1, 0, -1):
g = math.gcd(p,q)
if g != 1:
continue
if (q ** n - p ** n > m * (p ** (n - 1)) * q):
break
if(ok(n, m, p, q)):
print(q - p, q)
exit(0)
print("impossible")
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 13ms
memory: 8112kb
input:
13 382475111752106101
output:
17 28
result:
ok single line: '17 28'
Test #2:
score: 0
Accepted
time: 11ms
memory: 7988kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #3:
score: 0
Accepted
time: 11ms
memory: 8052kb
input:
15 227368755046033249
output:
13 14
result:
ok single line: '13 14'
Test #4:
score: 0
Accepted
time: 5ms
memory: 7940kb
input:
27 72027091647987988
output:
1 4
result:
ok single line: '1 4'
Test #5:
score: 0
Accepted
time: 9ms
memory: 7984kb
input:
12 817283057828223168
output:
10 17
result:
ok single line: '10 17'
Test #6:
score: 0
Accepted
time: 11ms
memory: 8108kb
input:
40 279103330129289325
output:
1 2
result:
ok single line: '1 2'
Test #7:
score: 0
Accepted
time: 10ms
memory: 7884kb
input:
9 200754090585004509
output:
27 31
result:
ok single line: '27 31'
Test #8:
score: 0
Accepted
time: 3ms
memory: 7992kb
input:
13 145272043713167318
output:
11 19
result:
ok single line: '11 19'
Test #9:
score: 0
Accepted
time: 11ms
memory: 8052kb
input:
13 330339892079732537
output:
3 5
result:
ok single line: '3 5'
Test #10:
score: 0
Accepted
time: 19ms
memory: 8012kb
input:
8 518312274023062851
output:
35 81
result:
ok single line: '35 81'
Test #11:
score: 0
Accepted
time: 7ms
memory: 7984kb
input:
8 226575677743060500
output:
3 37
result:
ok single line: '3 37'
Test #12:
score: 0
Accepted
time: 14ms
memory: 8056kb
input:
22 947676267664323372
output:
5 6
result:
ok single line: '5 6'
Test #13:
score: 0
Accepted
time: 20ms
memory: 7984kb
input:
8 884152939068009488
output:
32 87
result:
ok single line: '32 87'
Test #14:
score: 0
Accepted
time: 8ms
memory: 7984kb
input:
10 334992255296783634
output:
1 2
result:
ok single line: '1 2'
Test #15:
score: 0
Accepted
time: 18ms
memory: 8096kb
input:
9 387165762000719100
output:
9 26
result:
ok single line: '9 26'
Test #16:
score: 0
Accepted
time: 4ms
memory: 7980kb
input:
13 966426794141592430
output:
5 23
result:
ok single line: '5 23'
Test #17:
score: -100
Time Limit Exceeded
input:
30 3882204456