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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#113033#6567. Repetitive String InventionrniyaAC ✓125ms8352kbC++173.2kb2023-06-16 00:30:132023-06-16 00:30:15

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-16 00:30:15]
  • 评测
  • 测评结果:AC
  • 用时:125ms
  • 内存:8352kb
  • [2023-06-16 00:30:13]
  • 提交

answer

#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif

template <typename T> std::vector<int> Z_Algorithm(const T& s) {
    int n = s.size();
    std::vector<int> z(n);
    z[0] = n;
    for (int i = 1, j = 0; i < n;) {
        while (i + j < n and s[j] == s[i + j]) j++;
        z[i] = j;
        if (j == 0) {
            i++;
            continue;
        }
        int k = 1;
        while (i + k < n and k + z[k] < j) z[i + k] = z[k], k++;
        i += k;
        j -= k;
    }
    return z;
}

template <typename T> std::vector<int> LCP(const T& s, const T& t) {
    T u(s);
    u.insert(u.begin(), t.begin(), t.end());
    std::vector<int> z = Z_Algorithm(u);
    for (int& i : z) i = std::min(i, (int)t.size());
    return std::vector<int>(z.begin() + t.size(), z.end());
}

using namespace std;

typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};

template <class T> istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) is >> x;
    return is;
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
    auto sep = "";
    for (const auto& x : v) os << exchange(sep, " ") << x;
    return os;
}

template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }

template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }

template <class T> void mkuni(vector<T>& v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    string S;
    cin >> S;

    int n = S.size();
    ll ans = 0;
    auto calc1 = [&]() -> ll {  // |S_1| > |S_2|
        vector<vector<int>> lcp(n), rlcp(n);
        for (int i = 0; i < n; i++) {
            string T = S.substr(i, n - i);
            lcp[i] = LCP(S, T);
        }
        reverse(all(S));
        for (int i = 0; i < n; i++) {
            string T = S.substr(i, n - i);
            rlcp[i] = LCP(S, T);
        }
        reverse(all(S));
        ll res = 0;
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                int len = j - i, margin = min(len, lcp[i][j]);
                for (int k = j + len; k <= n; k++) {
                    int maxi = min(len - 1, rlcp[n - k][n - j]);
                    res += max(0, maxi - max(1, len - margin) + 1);
                }
            }
        }
        return res;
    };
    auto calc2 = [&]() -> ll {  // |S_1| = |S_2|
        ll res = 0;
        for (int i = 0; i < n; i++) {
            string T = S.substr(i, n - i);
            auto lcp = LCP(S, T);
            for (int j = i + 1; j < n; j++) res += min(j - i, lcp[j]);
        }
        return res;
    };
    for (int _ = 0; _ < 2; _++) {
        ans += calc1();
        reverse(all(S));
        debug(ans);
    }
    ans += calc2();

    cout << ans << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3428kb

input:

aaaa

output:

9

result:

ok single line: '9'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

axabxbcxcdxd

output:

22

result:

ok single line: '22'

Test #3:

score: 0
Accepted
time: 13ms
memory: 4360kb

input:

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...

output:

536006700

result:

ok single line: '536006700'

Test #4:

score: 0
Accepted
time: 17ms
memory: 4348kb

input:

abababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababab...

output:

136016600

result:

ok single line: '136016600'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3432kb

input:

a

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3544kb

input:

ab

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

aa

output:

1

result:

ok single line: '1'

Test #8:

score: 0
Accepted
time: 18ms
memory: 4344kb

input:

bbbbbrrrrbrbrrbrbrbrbbrrbbbbrrbrrbrbrbrrrrrbbbrrbrrbbrrrbbbbbrrrrbbrbbrrrrrbbrrrbbbbbrbbrbbbrbrrbrrrrrrrrbbrbrbbrrrrrrbbbbbrbrrrrbrrbbrbrrrrrbrbrbbrbrrbrrrrbrbbrbrrbrrbbbbrrrrrbrbbrbbrrrrrbrbrbrbbbrrrrrrrbbbbbbrrbrbrrrrrbbbrbrrrrbbbbrrbrrbbbbbbbrbbbbrrrbrbbbrrrrrrbbbbbrbrrbbbbrbrbrrbbrrrbbbrbbbrbbrr...

output:

209015

result:

ok single line: '209015'

Test #9:

score: 0
Accepted
time: 12ms
memory: 4404kb

input:

fkrryithikkpurfezufbthxxrtejxpprhrhurrfziigzgajipayrefarpxuggehkiggeppfjghuyejuagkjpiezhmfizgphkkfffifihrimuhgtgzykfupbprjyrbpbimapjmbkrhubzhgfhhpkrxgjgmkheiiugiyerggyukyfuuxgrehgayafzuxymxxabygpapbjxipkxgbxhzpekypfghaumukguaipphiyhzimzfmpmzahbmaagytygyekzhktbbheetxrbipgytppgbhkpimrybkbeirhrzytfehba...

output:

5696

result:

ok single line: '5696'

Test #10:

score: 0
Accepted
time: 16ms
memory: 4404kb

input:

ayeaecauuueerrcsyyyuayauarecyrruueeucacrrcesercyeasuscucscruaaresaeruurreeursssuyraeysurecacueuacycacsyuyeyusssassaasyuarrcecueayacucuyyrsasrycyrrcececyuccecyreyeccuesaasceasussaraeruyarcauarcecacrucryryseysauaucyaeyurueurerrccrayyyycccsuaaesrecurucerrascyacucucryarycayeesyysusserarseyrauyrryeacauec...

output:

18249

result:

ok single line: '18249'

Test #11:

score: 0
Accepted
time: 17ms
memory: 4400kb

input:

lclccclcclllccccclcclclcccclllllcclcclclcclllllcllccclclclccclccllcclccccccllccclclcccclclcclclccclllllccclcccccclllllccllcclclllllllccclllcllllccccccccllccclllccclcllllllllcclccclccccllccllclclcclcllcllccclcllclllclclllclllcllcclclllccclcclclllclllllllcclllcccccllcllcllcclcclcllccclclllclclcccllcll...

output:

207835

result:

ok single line: '207835'

Test #12:

score: 0
Accepted
time: 16ms
memory: 4356kb

input:

lygxvkxeeiixzzpamosqadacrnyierrztikxheupgbkfkstyjrmyvhmjrhfhwfdeyhzuyhhbczbjgcnzouiufetegmnvxoeqxiykkwysdnnmdjtpwwzpdaqzmwmapbqbdjsdoxmpbvseyfrrqpgteehoxqsjszykfqgdmcgwikavcnhoubonianpecjtumdutpxwioqtkystzndrbtlfircdsnsxraoitswvhjirqxxjrnjjsldbmdcjngecdaotrgxvikyfyjlbbeketxrxeknuxmxehvabyyyxnrchukft...

output:

3442

result:

ok single line: '3442'

Test #13:

score: 0
Accepted
time: 18ms
memory: 4360kb

input:

yjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjyxxxxxjjxyxxyjjxxjyyjjjyyyxjyjxjxyjjyjxjyjyyxjyjyjyyxxyyxxxjjxxxyyyjjjyxjyxjxjyjxjyyyjjxxxjxxjxjjjyjxjyjyyxjyjyjyyxxyyxxxjjxxxyyyjjjyxjyxjxjyjxjyyyjjxxxjxxjxjyjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjyxxxxxjjxyxxyjjxxjyyjjjyyyxjyjxjxyjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjy...

output:

103111

result:

ok single line: '103111'

Test #14:

score: 0
Accepted
time: 19ms
memory: 4432kb

input:

lhllhlhlhllhlhllhhlhhhhllhhlhhhhllhhlhhhhllhllhhllhhlhhhhllhllhhhhhllhhlhhhhhlhllhlhhlhllhlhhhhllhllhhhllhhlhhhhhhlhllhlhllhhlhhhhhhlhllhlhhllhllllhllhhhlhllhlhhhllhhlhhhhhhllhhlhhhhlhllhlhllhllhhhhllhllllhllllhllllhlllhllhlhllhhlhhhhhhhllhlllhllhlhllhhlhhhhllhllllhlllhllhlhllhllhhhhhhhllhhlhhhhllhh...

output:

298186

result:

ok single line: '298186'

Test #15:

score: 0
Accepted
time: 12ms
memory: 4504kb

input:

blbllblbblbllblbblbllblblblbblllblbbllblbllblbblbllblbblbllblblblbbllblbllblblblbbllblbllblbblbllblblblbbllblbllblblblbbllblbllblbblbllblbblbllblblblbblllblbblllblbblllblbbllblbllblblblbblllblbblllblbbllblbllblblblbblllblbbllblbllblbblbllblbblbllblblblbblllblbblllblbbllblbllblblblbblllblbblllblbblll...

output:

510790

result:

ok single line: '510790'

Test #16:

score: 0
Accepted
time: 16ms
memory: 4316kb

input:

aqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaq...

output:

584698

result:

ok single line: '584698'

Test #17:

score: 0
Accepted
time: 83ms
memory: 8280kb

input:

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...

output:

8554693400

result:

ok single line: '8554693400'

Test #18:

score: 0
Accepted
time: 115ms
memory: 8236kb

input:

abababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababab...

output:

2154733200

result:

ok single line: '2154733200'

Test #19:

score: 0
Accepted
time: 117ms
memory: 8256kb

input:

abbbabbaaababbaabaaababaababbaabbbbbaaababbbbababbaabababaabbbaaabbababbababbabbbaabbabaaabaaabbbabbabbabaaaabbabbbababaabaabbaaaabbbbbbbababaabaababaaaaaabbbbbbbaaabaabaababbabaabababbbbabbabbaabbbaaababbbbabababababaabbbbbbbbbabbbbababaaabbbaababbbbaabbbbaabbaababbaaaababbabbabbabbabbaaaaaabbbbaab...

output:

930632

result:

ok single line: '930632'

Test #20:

score: 0
Accepted
time: 125ms
memory: 8352kb

input:

acbaabcbabcccccbbaaacaaacbacaabccbbccabbbaaacacbaccbaaaaaacbbcbabacaabaaabcbccbbccbaaabacacccacccbabcbbcaaabbaacaaabaabcaaccbacacbcbcacbbbbaacbbcccbbccabcacaaabcbbbbacbcbcaabbbccaabbcbacbcaccabbbcccccbcbbbabcabcacbccccacabccbccbccaaccbbbbbccbabbbcaabbaacaccacbcbaabbbbabbccbcacacbbcacbbccbacbbbcacccc...

output:

304687

result:

ok single line: '304687'

Test #21:

score: 0
Accepted
time: 109ms
memory: 8252kb

input:

gvqghqqtyruttomyqtjlimqxhhoiboxzggiduzwyaagmtvvogqwcfsgvnvzncgmhtpjtmnqekqyhzyvvnfofasxkcvrhlydmpfulmeugpayixcixaijfmkvhhbgikpyjlmvzrzbkhmtymjfkqzwafvimebzixveouiuwlkljnilpzdvrcygbtdsimysonrpolsunmdeqgatgudbkuihzgkqgucfczlhytrshtdhlvekmhnjllqfpkjwwujiifikmfvcpijojmnkjivvmbuweauqofpxnazdyisttwabrofjz...

output:

13605

result:

ok single line: '13605'

Test #22:

score: 0
Accepted
time: 103ms
memory: 8312kb

input:

abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmn...

output:

14989915

result:

ok single line: '14989915'

Test #23:

score: 0
Accepted
time: 114ms
memory: 8232kb

input:

aqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaq...

output:

2798983

result:

ok single line: '2798983'