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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252896#7692. Prof. Fumblemore and the Collatz Conjectureucup-team004AC ✓0ms3820kbC++201.3kb2023-11-16 14:26:372023-11-16 14:26:37

Judging History

This is the latest submission verdict.

  • [2023-11-16 14:26:37]
  • Judged
  • Verdict: AC
  • Time: 0ms
  • Memory: 3820kb
  • [2023-11-16 14:26:37]
  • Submitted

answer

#include <bits/stdc++.h>

using i64 = long long;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    std::string s;
    std::cin >> s;
    
    for (int i = 0; i < s.size() - 1; i++) {
        if (s[i] == 'O' && s[i + 1] == 'O') {
            std::cout << "INVALID\n";
            return 0;
        }
    }
    if (s.back() == 'E') {
        std::cout << "INVALID\n";
        return 0;
    }
    
    auto check = [&](i64 n) {
        for (auto x : s) {
            if (!(n & (n - 1))) {
                return false;
            }
            if ((x == 'E') != (n % 2 == 0)) {
                return false;
            }
            if (n % 2 == 0) {
                n /= 2;
            } else {
                n = 3 * n + 1;
            }
        }
        return true;
    };
    
    i64 k = 1, b = 0, d = 1;
    for (auto x : s) {
        if (x == 'O') {
            k *= 3;
            b *= 3;
            b += d;
        } else {
            d *= 2;
        }
    }
    i64 p = 4;
    while (true) {
        i64 n = p * d - b;
        if (n > 0 && n % k == 0) {
            n /= k;
            if (check(n)) {
                std::cout << n << "\n";
                return 0;
            }
        }
        p *= 2;
    }
    
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3604kb

input:

EEOEO

output:

12

result:

ok single line: '12'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

EEOOEO

output:

INVALID

result:

ok single line: 'INVALID'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

OEOEOEOEOEOEOEEEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

383

result:

ok single line: '383'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

OEOEEEEEOEOEEEEOEEEEOEOEOEEOEEEO

output:

931

result:

ok single line: '931'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

OEEOEEOEEOEOEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

641

result:

ok single line: '641'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

OEOEEOEEOEEOEEOEEEEOEEEOEOEOEEEEEO

output:

683

result:

ok single line: '683'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

OEEOEEEOEOEEEEOEEEEOEOEOEEOEEEO

output:

465

result:

ok single line: '465'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

OEEOEEOEOEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

481

result:

ok single line: '481'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

OEEOEOEO

output:

201

result:

ok single line: '201'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

OEEEEOEEOEOEEEOEOEEOEEEO

output:

133

result:

ok single line: '133'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

OEOEOEOEEOEEEEEEEEEEOEOEOEEOEEEO

output:

943

result:

ok single line: '943'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

OEEEOEEO

output:

301

result:

ok single line: '301'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

OEOEOEEEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

407

result:

ok single line: '407'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

OEOEOEOEOEOEEOEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

191

result:

ok single line: '191'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

OEEEOEO

output:

605

result:

ok single line: '605'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

OEOEOEOEEOEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

431

result:

ok single line: '431'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

OEOEEEOEEEOEOEOEEEOEEEEOEOEEEOEOEEOEEEO

output:

563

result:

ok single line: '563'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3524kb

input:

OEEOEEEEEOEEOEEEO

output:

241

result:

ok single line: '241'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

OEEEOEEEEOEOEEEOEOEEOEEEO

output:

269

result:

ok single line: '269'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

EEOEOEOEEOEEEEOEOEEOEEOEEEEOEOEOEEOEEEO

output:

540

result:

ok single line: '540'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

OEOEOEOEOEOEEEEEEOEEEOEEEOEEEOEOEEOEEEO

output:

575

result:

ok single line: '575'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

EEOEEOEOEEEEEOEOEOEEEEEO

output:

868

result:

ok single line: '868'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

OEOEOEO

output:

26512143

result:

ok single line: '26512143'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

OEOEOEEO

output:

13256071

result:

ok single line: '13256071'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

EEO

output:

20

result:

ok single line: '20'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

EOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEOEE

output:

INVALID

result:

ok single line: 'INVALID'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEO

output:

43980465111040

result:

ok single line: '43980465111040'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

EEEEEEEEEEOEEEOEEEEOEOEEOEEEEEOEEEEEEEOEEOEEEEEEEO

output:

7321693729792

result:

ok single line: '7321693729792'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

EEEOEEEOEEOEEEEEOEEEEEEEOEEEEEEEEEEEEEEEEOEEEEEO

output:

1028529777000

result:

ok single line: '1028529777000'