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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 |
---|---|---|---|---|---|---|---|---|---|
#267189 | #5103. Fair Division | juampi | TL | 173ms | 8240kb | Python3 | 1.8kb | 2023-11-27 01:10:03 | 2023-11-27 01:10:04 |
Judging History
answer
# Arup Guha
# 11/10/2022
# Solution to 2021 WF Problem C: Fair Division
# Just calculates b to the e power...a speed up.
def mypow(b,e):
res = 1
term = b
while e > 0:
if e&1 == 1:
res = res*term
e >>= 1
term *= term
return res
# GCD...maybe I should just call the build in one =)
def gcd(a,b):
if b == 0:
return a
return gcd(b,a%b)
# Main function.
def main():
toks = input().split()
n = int(toks[0])
m = int(toks[1])
# Solve it.
p,q = go(n,m)
# Here is what they ask us to output.
if p == -1:
print("impossible")
else:
print(p,q)
# Solve it!
def go(n,m):
# The fraction just doesn't work...
if n > 70:
return -1,-1
# I guessed, but I think about 3000 is the upper bound because there
# are at least 6 pirates...
for q in range(2, 6000):
# We are trying q first and we need this value.
term = mypow(q,n-1)
if m < term:
break
# We are okay to try it, so multiply by q.
term *= q
found = False
# Try p...
for p in range(q-1, 0,-1):
# Not allowed.
if gcd(q,p) != 1:
continue
# Calculate the desired fraction.
sub = mypow(p,n)
div = term-sub
top = m*(q-p)
# Has to be an integer...
if div > top:
continue
found = True
# This is our criteria for a solution.
if top%div == 0:
return q-p,q
if not found:
break
# If we get here, no p,q worked...
return -1,-1
# Run it!
main()
详细
Test #1:
score: 100
Accepted
time: 2ms
memory: 8068kb
input:
13 382475111752106101
output:
17 28
result:
ok single line: '17 28'
Test #2:
score: 0
Accepted
time: 0ms
memory: 8100kb
input:
59 576460752303423487
output:
1 2
result:
ok single line: '1 2'
Test #3:
score: 0
Accepted
time: 7ms
memory: 8240kb
input:
15 227368755046033249
output:
13 14
result:
ok single line: '13 14'
Test #4:
score: 0
Accepted
time: 6ms
memory: 8160kb
input:
27 72027091647987988
output:
1 4
result:
ok single line: '1 4'
Test #5:
score: 0
Accepted
time: 9ms
memory: 8044kb
input:
12 817283057828223168
output:
10 17
result:
ok single line: '10 17'
Test #6:
score: 0
Accepted
time: 10ms
memory: 8236kb
input:
40 279103330129289325
output:
1 2
result:
ok single line: '1 2'
Test #7:
score: 0
Accepted
time: 10ms
memory: 8136kb
input:
9 200754090585004509
output:
27 31
result:
ok single line: '27 31'
Test #8:
score: 0
Accepted
time: 9ms
memory: 8104kb
input:
13 145272043713167318
output:
11 19
result:
ok single line: '11 19'
Test #9:
score: 0
Accepted
time: 4ms
memory: 8196kb
input:
13 330339892079732537
output:
3 5
result:
ok single line: '3 5'
Test #10:
score: 0
Accepted
time: 8ms
memory: 8112kb
input:
8 518312274023062851
output:
35 81
result:
ok single line: '35 81'
Test #11:
score: 0
Accepted
time: 2ms
memory: 8080kb
input:
8 226575677743060500
output:
3 37
result:
ok single line: '3 37'
Test #12:
score: 0
Accepted
time: 10ms
memory: 8132kb
input:
22 947676267664323372
output:
5 6
result:
ok single line: '5 6'
Test #13:
score: 0
Accepted
time: 9ms
memory: 8128kb
input:
8 884152939068009488
output:
32 87
result:
ok single line: '32 87'
Test #14:
score: 0
Accepted
time: 9ms
memory: 8100kb
input:
10 334992255296783634
output:
1 2
result:
ok single line: '1 2'
Test #15:
score: 0
Accepted
time: 8ms
memory: 8044kb
input:
9 387165762000719100
output:
9 26
result:
ok single line: '9 26'
Test #16:
score: 0
Accepted
time: 8ms
memory: 8160kb
input:
13 966426794141592430
output:
5 23
result:
ok single line: '5 23'
Test #17:
score: 0
Accepted
time: 9ms
memory: 8068kb
input:
30 3882204456
output:
impossible
result:
ok single line: 'impossible'
Test #18:
score: 0
Accepted
time: 3ms
memory: 8132kb
input:
17 388292937745500
output:
impossible
result:
ok single line: 'impossible'
Test #19:
score: 0
Accepted
time: 173ms
memory: 8068kb
input:
7 77777777777777777
output:
impossible
result:
ok single line: 'impossible'
Test #20:
score: 0
Accepted
time: 10ms
memory: 8120kb
input:
6 1
output:
impossible
result:
ok single line: 'impossible'
Test #21:
score: 0
Accepted
time: 10ms
memory: 8156kb
input:
6 6
output:
impossible
result:
ok single line: 'impossible'
Test #22:
score: 0
Accepted
time: 0ms
memory: 8180kb
input:
6 666666666
output:
impossible
result:
ok single line: 'impossible'
Test #23:
score: -100
Time Limit Exceeded
input:
6 982698952174251648