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
#546563#7692. Prof. Fumblemore and the Collatz ConjectureOlegpresnyakov#AC ✓21ms11760kbPython31006b2024-09-04 09:21:342024-09-04 09:21:35

Judging History

你现在查看的是最新测评结果

  • [2024-09-04 09:21:35]
  • 评测
  • 测评结果:AC
  • 用时:21ms
  • 内存:11760kb
  • [2024-09-04 09:21:34]
  • 提交

answer

from fractions import Fraction
def check(n,s):
    #print(n,s)
    for i in range(len(s)):
        if 2**(len(bin(n)) - 3) == n:
            return False
        if (s[i] == "E") != (n % 2 == 0):
            return False
        if n%2 == 0:
            n //= 2
        else:
            n *= 3
            n += 1
    return True
s = input()
a,b = Fraction(1,1),Fraction(0,1)
for i in s[::-1]:
    if i == "E":
        a *= 2
        b *= 2
    if i == "O":
        b -= 1
        a /= 3
        b /= 3
c = a.denominator
x,y = a.numerator, b.numerator * (b.denominator // c)
#print(x,y)
y %= c
x %= c
z = 1
good = False
r = 0
for _ in range(50):
    #print(x,y,z,c)
    if (x*z + y)%c == 0:
        #print(x,y,z,c,r)
        if check((a * (2**r) + b).numerator,s):
            good = True
            print((a * (2**r) + b).numerator)
            break
    z *= 2
    z %= c
    r += 1
if not good:
    print("INVALID")
else:
    r = (a * (2**r) + b).numerator

详细

Test #1:

score: 100
Accepted
time: 21ms
memory: 11604kb

input:

EEOEO

output:

12

result:

ok single line: '12'

Test #2:

score: 0
Accepted
time: 15ms
memory: 11644kb

input:

EEOOEO

output:

INVALID

result:

ok single line: 'INVALID'

Test #3:

score: 0
Accepted
time: 18ms
memory: 11624kb

input:

OEOEOEOEOEOEOEEEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

383

result:

ok single line: '383'

Test #4:

score: 0
Accepted
time: 21ms
memory: 11604kb

input:

OEOEEEEEOEOEEEEOEEEEOEOEOEEOEEEO

output:

931

result:

ok single line: '931'

Test #5:

score: 0
Accepted
time: 20ms
memory: 11608kb

input:

OEEOEEOEEOEOEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

641

result:

ok single line: '641'

Test #6:

score: 0
Accepted
time: 12ms
memory: 11708kb

input:

OEOEEOEEOEEOEEOEEEEOEEEOEOEOEEEEEO

output:

683

result:

ok single line: '683'

Test #7:

score: 0
Accepted
time: 17ms
memory: 11644kb

input:

OEEOEEEOEOEEEEOEEEEOEOEOEEOEEEO

output:

465

result:

ok single line: '465'

Test #8:

score: 0
Accepted
time: 7ms
memory: 11756kb

input:

OEEOEEOEOEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

481

result:

ok single line: '481'

Test #9:

score: 0
Accepted
time: 8ms
memory: 11632kb

input:

OEEOEOEO

output:

201

result:

ok single line: '201'

Test #10:

score: 0
Accepted
time: 21ms
memory: 11708kb

input:

OEEEEOEEOEOEEEOEOEEOEEEO

output:

133

result:

ok single line: '133'

Test #11:

score: 0
Accepted
time: 12ms
memory: 11692kb

input:

OEOEOEOEEOEEEEEEEEEEOEOEOEEOEEEO

output:

943

result:

ok single line: '943'

Test #12:

score: 0
Accepted
time: 14ms
memory: 11760kb

input:

OEEEOEEO

output:

301

result:

ok single line: '301'

Test #13:

score: 0
Accepted
time: 14ms
memory: 11724kb

input:

OEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

407

result:

ok single line: '407'

Test #14:

score: 0
Accepted
time: 15ms
memory: 11612kb

input:

OEOEOEOEOEOEEOEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

191

result:

ok single line: '191'

Test #15:

score: 0
Accepted
time: 17ms
memory: 11548kb

input:

OEEEOEO

output:

605

result:

ok single line: '605'

Test #16:

score: 0
Accepted
time: 13ms
memory: 11756kb

input:

OEOEOEOEEOEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

431

result:

ok single line: '431'

Test #17:

score: 0
Accepted
time: 21ms
memory: 11756kb

input:

OEOEEEOEEEOEOEOEEEOEEEEOEOEEEOEOEEOEEEO

output:

563

result:

ok single line: '563'

Test #18:

score: 0
Accepted
time: 12ms
memory: 11564kb

input:

OEEOEEEEEOEEOEEEO

output:

241

result:

ok single line: '241'

Test #19:

score: 0
Accepted
time: 21ms
memory: 11636kb

input:

OEEEOEEEEOEOEEEOEOEEOEEEO

output:

269

result:

ok single line: '269'

Test #20:

score: 0
Accepted
time: 15ms
memory: 11640kb

input:

EEOEOEOEEOEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

540

result:

ok single line: '540'

Test #21:

score: 0
Accepted
time: 12ms
memory: 11640kb

input:

OEOEOEOEOEOEEEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

575

result:

ok single line: '575'

Test #22:

score: 0
Accepted
time: 10ms
memory: 11608kb

input:

EEOEEOEOEEEEEOEOEOEEEEEO

output:

868

result:

ok single line: '868'

Test #23:

score: 0
Accepted
time: 13ms
memory: 11604kb

input:

OEOEOEO

output:

26512143

result:

ok single line: '26512143'

Test #24:

score: 0
Accepted
time: 21ms
memory: 11640kb

input:

OEOEOEEO

output:

13256071

result:

ok single line: '13256071'

Test #25:

score: 0
Accepted
time: 21ms
memory: 11640kb

input:

EEO

output:

20

result:

ok single line: '20'

Test #26:

score: 0
Accepted
time: 11ms
memory: 11724kb

input:

EOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEE

output:

INVALID

result:

ok single line: 'INVALID'

Test #27:

score: 0
Accepted
time: 13ms
memory: 11708kb

input:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEO

output:

43980465111040

result:

ok single line: '43980465111040'

Test #28:

score: 0
Accepted
time: 14ms
memory: 11760kb

input:

EEEEEEEEEEOEEEOEEEEOEOEEOEEEEEOEEEEEEEOEEOEEEEEEEO

output:

7321693729792

result:

ok single line: '7321693729792'

Test #29:

score: 0
Accepted
time: 13ms
memory: 11608kb

input:

EEEOEEEOEEOEEEEEOEEEEEEEOEEEEEEEEEEEEEEEEOEEEEEO

output:

1028529777000

result:

ok single line: '1028529777000'