QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#110963#6567. Repetitive String InventionupsolveupsolveAC ✓383ms6760kbC++2010.8kb2023-06-05 02:04:452023-06-05 02:04:49

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.
  • [2023-06-05 02:04:49]
  • 评测
  • 测评结果:AC
  • 用时:383ms
  • 内存:6760kb
  • [2023-06-05 02:04:45]
  • 提交

answer

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }
#define all(x) (x).begin(),(x).end()
#define fi first
#define se second
#define mp make_pair
#define si(x) int(x.size())
const int mod=998244353,MAX=805,INF=1<<30;

// 文字列

// from: https://gist.github.com/yosupo06/ddd51afb727600fd95d9d8ad6c3c80c9
// (based on AtCoder STL)


namespace atcoder {
    
    namespace internal {
        
        std::vector<int> sa_naive(const std::vector<int>& s) {
            int n = int(s.size());
            std::vector<int> sa(n);
            std::iota(sa.begin(), sa.end(), 0);
            std::sort(sa.begin(), sa.end(), [&](int l, int r) {
                if (l == r) return false;
                while (l < n && r < n) {
                    if (s[l] != s[r]) return s[l] < s[r];
                    l++;
                    r++;
                }
                return l == n;
            });
            return sa;
        }
        
        std::vector<int> sa_doubling(const std::vector<int>& s) {
            int n = int(s.size());
            std::vector<int> sa(n), rnk = s, tmp(n);
            std::iota(sa.begin(), sa.end(), 0);
            for (int k = 1; k < n; k *= 2) {
                auto cmp = [&](int x, int y) {
                    if (rnk[x] != rnk[y]) return rnk[x] < rnk[y];
                    int rx = x + k < n ? rnk[x + k] : -1;
                    int ry = y + k < n ? rnk[y + k] : -1;
                    return rx < ry;
                };
                std::sort(sa.begin(), sa.end(), cmp);
                tmp[sa[0]] = 0;
                for (int i = 1; i < n; i++) {
                    tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) ? 1 : 0);
                }
                std::swap(tmp, rnk);
            }
            return sa;
        }
        
        template <int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40>
        std::vector<int> sa_is(const std::vector<int>& s, int upper) {
            int n = int(s.size());
            if (n == 0) return {};
            if (n == 1) return {0};
            if (n == 2) {
                if (s[0] < s[1]) {
                    return {0, 1};
                } else {
                    return {1, 0};
                }
            }
            if (n < THRESHOLD_NAIVE) {
                return sa_naive(s);
            }
            if (n < THRESHOLD_DOUBLING) {
                return sa_doubling(s);
            }
            
            std::vector<int> sa(n);
            std::vector<bool> ls(n);
            for (int i = n - 2; i >= 0; i--) {
                ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
            }
            std::vector<int> sum_l(upper + 1), sum_s(upper + 1);
            for (int i = 0; i < n; i++) {
                if (!ls[i]) {
                    sum_s[s[i]]++;
                } else {
                    sum_l[s[i] + 1]++;
                }
            }
            for (int i = 0; i <= upper; i++) {
                sum_s[i] += sum_l[i];
                if (i < upper) sum_l[i + 1] += sum_s[i];
            }
            
            auto induce = [&](const std::vector<int>& lms) {
                std::fill(sa.begin(), sa.end(), -1);
                std::vector<int> buf(upper + 1);
                std::copy(sum_s.begin(), sum_s.end(), buf.begin());
                for (auto d : lms) {
                    if (d == n) continue;
                    sa[buf[s[d]]++] = d;
                }
                std::copy(sum_l.begin(), sum_l.end(), buf.begin());
                sa[buf[s[n - 1]]++] = n - 1;
                for (int i = 0; i < n; i++) {
                    int v = sa[i];
                    if (v >= 1 && !ls[v - 1]) {
                        sa[buf[s[v - 1]]++] = v - 1;
                    }
                }
                std::copy(sum_l.begin(), sum_l.end(), buf.begin());
                for (int i = n - 1; i >= 0; i--) {
                    int v = sa[i];
                    if (v >= 1 && ls[v - 1]) {
                        sa[--buf[s[v - 1] + 1]] = v - 1;
                    }
                }
            };
            
            std::vector<int> lms_map(n + 1, -1);
            int m = 0;
            for (int i = 1; i < n; i++) {
                if (!ls[i - 1] && ls[i]) {
                    lms_map[i] = m++;
                }
            }
            std::vector<int> lms;
            lms.reserve(m);
            for (int i = 1; i < n; i++) {
                if (!ls[i - 1] && ls[i]) {
                    lms.push_back(i);
                }
            }
            
            induce(lms);
            
            if (m) {
                std::vector<int> sorted_lms;
                sorted_lms.reserve(m);
                for (int v : sa) {
                    if (lms_map[v] != -1) sorted_lms.push_back(v);
                }
                std::vector<int> rec_s(m);
                int rec_upper = 0;
                rec_s[lms_map[sorted_lms[0]]] = 0;
                for (int i = 1; i < m; i++) {
                    int l = sorted_lms[i - 1], r = sorted_lms[i];
                    int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
                    int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
                    bool same = true;
                    if (end_l - l != end_r - r) {
                        same = false;
                    } else {
                        while (l < end_l) {
                            if (s[l] != s[r]) {
                                break;
                            }
                            l++;
                            r++;
                        }
                        if (l == n || s[l] != s[r]) same = false;
                    }
                    if (!same) rec_upper++;
                    rec_s[lms_map[sorted_lms[i]]] = rec_upper;
                }
                
                auto rec_sa =
                sa_is<THRESHOLD_NAIVE, THRESHOLD_DOUBLING>(rec_s, rec_upper);
                
                for (int i = 0; i < m; i++) {
                    sorted_lms[i] = lms[rec_sa[i]];
                }
                induce(sorted_lms);
            }
            return sa;
        }
        
    }  // namespace internal
    
    std::vector<int> suffix_array(const std::vector<int>& s, int upper) {
        assert(0 <= upper);
        for (int d : s) {
            assert(0 <= d && d <= upper);
        }
        auto sa = internal::sa_is(s, upper);
        return sa;
    }
    
    template <class T> std::vector<int> suffix_array(const std::vector<T>& s) {
        int n = int(s.size());
        std::vector<int> idx(n);
        iota(idx.begin(), idx.end(), 0);
        sort(idx.begin(), idx.end(), [&](int l, int r) { return s[l] < s[r]; });
        std::vector<int> s2(n);
        int now = 0;
        for (int i = 0; i < n; i++) {
            if (i && s[idx[i - 1]] != s[idx[i]]) now++;
            s2[idx[i]] = now;
        }
        return internal::sa_is(s2, now);
    }
    
    std::vector<int> suffix_array(const std::string& s) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return internal::sa_is(s2, 255);
    }
    
    template <class T>
    std::vector<int> lcp_array(const std::vector<T>& s,
                               const std::vector<int>& sa) {
        int n = int(s.size());
        assert(n >= 1);
        std::vector<int> rnk(n);
        for (int i = 0; i < n; i++) {
            rnk[sa[i]] = i;
        }
        std::vector<int> lcp(n - 1);
        int h = 0;
        for (int i = 0; i < n; i++) {
            if (h > 0) h--;
            if (rnk[i] == 0) continue;
            int j = sa[rnk[i] - 1];
            for (; j + h < n && i + h < n; h++) {
                if (s[j + h] != s[i + h]) break;
            }
            lcp[rnk[i] - 1] = h;
        }
        return lcp;
    }
    
    std::vector<int> lcp_array(const std::string& s, const std::vector<int>& sa) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return lcp_array(s2, sa);
    }
    
    template <class T> std::vector<int> z_algorithm(const std::vector<T>& s) {
        int n = int(s.size());
        if (n == 0) return {};
        std::vector<int> z(n);
        z[0] = 0;
        for (int i = 1, j = 0; i < n; i++) {
            int& k = z[i];
            k = (j + z[j] <= i) ? 0 : std::min(j + z[j] - i, z[i - j]);
            while (i + k < n && s[k] == s[i + k]) k++;
            if (j + z[j] < i + z[i]) j = i;
        }
        z[0] = n;
        return z;
    }
    
    std::vector<int> z_algorithm(const std::string& s) {
        int n = int(s.size());
        std::vector<int> s2(n);
        for (int i = 0; i < n; i++) {
            s2[i] = s[i];
        }
        return z_algorithm(s2);
    }
    
}  // namespace atcoder

int rui[MAX][MAX];
bool NG[MAX][MAX];

int main(){
    
    std::ifstream in("text.txt");
    std::cin.rdbuf(in.rdbuf());
    cin.tie(0);
    ios::sync_with_stdio(false);
    
    string S;cin>>S;
    int N=si(S);
    
    ll ans=0;
    
    for(int q=0;q<2;q++){
        memset(NG,0,sizeof(NG));
        
        for(int s=0;s<N;s++){
            for(int i=N-1;i>=s;i--){
                for(int j=N-s;j>=0;j--){
                    rui[i][j]=0;
                }
            }
            
            auto Z=atcoder::z_algorithm(S.substr(s));
            for(int i=s;i<N;i++){
                rui[i][Z[i-s]]++;
            }
            
            for(int i=N-2;i>=s;i--){
                for(int j=N-s;j>=0;j--){
                    rui[i][j]+=rui[i+1][j];
                }
            }
            for(int i=N-1;i>=s;i--){
                for(int j=N-s-1;j>=0;j--){
                    rui[i][j]+=rui[i][j+1];
                }
            }
            
            for(int l=0;l<=s;l++){
                int ad=s-l;
                for(int r=ad+l;r+ad<N;r++){
                    int len=r-l+1;
                    if(ad){
                        if(S[l+ad-1]!=S[r+ad]) NG[l][r]=true;
                    }
                    
                    if(!NG[l][r]){
                        if(q==0||ad) ans+=rui[r+ad+1][len-ad];
                    }
                }
            }
        }
        
        reverse(all(S));
    }
    
    cout<<ans<<"\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4164kb

input:

aaaa

output:

9

result:

ok single line: '9'

Test #2:

score: 0
Accepted
time: 1ms
memory: 4116kb

input:

axabxbcxcdxd

output:

22

result:

ok single line: '22'

Test #3:

score: 0
Accepted
time: 64ms
memory: 6332kb

input:

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...

output:

536006700

result:

ok single line: '536006700'

Test #4:

score: 0
Accepted
time: 70ms
memory: 5484kb

input:

abababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababab...

output:

136016600

result:

ok single line: '136016600'

Test #5:

score: 0
Accepted
time: 2ms
memory: 5784kb

input:

a

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 4ms
memory: 4124kb

input:

ab

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 1ms
memory: 4068kb

input:

aa

output:

1

result:

ok single line: '1'

Test #8:

score: 0
Accepted
time: 36ms
memory: 5956kb

input:

bbbbbrrrrbrbrrbrbrbrbbrrbbbbrrbrrbrbrbrrrrrbbbrrbrrbbrrrbbbbbrrrrbbrbbrrrrrbbrrrbbbbbrbbrbbbrbrrbrrrrrrrrbbrbrbbrrrrrrbbbbbrbrrrrbrrbbrbrrrrrbrbrbbrbrrbrrrrbrbbrbrrbrrbbbbrrrrrbrbbrbbrrrrrbrbrbrbbbrrrrrrrbbbbbbrrbrbrrrrrbbbrbrrrrbbbbrrbrrbbbbbbbrbbbbrrrbrbbbrrrrrrbbbbbrbrrbbbbrbrbrrbbrrrbbbrbbbrbbrr...

output:

209015

result:

ok single line: '209015'

Test #9:

score: 0
Accepted
time: 34ms
memory: 5364kb

input:

fkrryithikkpurfezufbthxxrtejxpprhrhurrfziigzgajipayrefarpxuggehkiggeppfjghuyejuagkjpiezhmfizgphkkfffifihrimuhgtgzykfupbprjyrbpbimapjmbkrhubzhgfhhpkrxgjgmkheiiugiyerggyukyfuuxgrehgayafzuxymxxabygpapbjxipkxgbxhzpekypfghaumukguaipphiyhzimzfmpmzahbmaagytygyekzhktbbheetxrbipgytppgbhkpimrybkbeirhrzytfehba...

output:

5696

result:

ok single line: '5696'

Test #10:

score: 0
Accepted
time: 36ms
memory: 5500kb

input:

ayeaecauuueerrcsyyyuayauarecyrruueeucacrrcesercyeasuscucscruaaresaeruurreeursssuyraeysurecacueuacycacsyuyeyusssassaasyuarrcecueayacucuyyrsasrycyrrcececyuccecyreyeccuesaasceasussaraeruyarcauarcecacrucryryseysauaucyaeyurueurerrccrayyyycccsuaaesrecurucerrascyacucucryarycayeesyysusserarseyrauyrryeacauec...

output:

18249

result:

ok single line: '18249'

Test #11:

score: 0
Accepted
time: 28ms
memory: 5404kb

input:

lclccclcclllccccclcclclcccclllllcclcclclcclllllcllccclclclccclccllcclccccccllccclclcccclclcclclccclllllccclcccccclllllccllcclclllllllccclllcllllccccccccllccclllccclcllllllllcclccclccccllccllclclcclcllcllccclcllclllclclllclllcllcclclllccclcclclllclllllllcclllcccccllcllcllcclcclcllccclclllclclcccllcll...

output:

207835

result:

ok single line: '207835'

Test #12:

score: 0
Accepted
time: 30ms
memory: 5880kb

input:

lygxvkxeeiixzzpamosqadacrnyierrztikxheupgbkfkstyjrmyvhmjrhfhwfdeyhzuyhhbczbjgcnzouiufetegmnvxoeqxiykkwysdnnmdjtpwwzpdaqzmwmapbqbdjsdoxmpbvseyfrrqpgteehoxqsjszykfqgdmcgwikavcnhoubonianpecjtumdutpxwioqtkystzndrbtlfircdsnsxraoitswvhjirqxxjrnjjsldbmdcjngecdaotrgxvikyfyjlbbeketxrxeknuxmxehvabyyyxnrchukft...

output:

3442

result:

ok single line: '3442'

Test #13:

score: 0
Accepted
time: 38ms
memory: 5488kb

input:

yjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjyxxxxxjjxyxxyjjxxjyyjjjyyyxjyjxjxyjjyjxjyjyyxjyjyjyyxxyyxxxjjxxxyyyjjjyxjyxjxjyjxjyyyjjxxxjxxjxjjjyjxjyjyyxjyjyjyyxxyyxxxjjxxxyyyjjjyxjyxjxjyjxjyyyjjxxxjxxjxjyjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjyxxxxxjjxyxxyjjxxjyyjjjyyyxjyjxjxyjjxyyxjxyjjyxyyjxyyjxjxjxjyxyxxjxjjy...

output:

103111

result:

ok single line: '103111'

Test #14:

score: 0
Accepted
time: 35ms
memory: 5772kb

input:

lhllhlhlhllhlhllhhlhhhhllhhlhhhhllhhlhhhhllhllhhllhhlhhhhllhllhhhhhllhhlhhhhhlhllhlhhlhllhlhhhhllhllhhhllhhlhhhhhhlhllhlhllhhlhhhhhhlhllhlhhllhllllhllhhhlhllhlhhhllhhlhhhhhhllhhlhhhhlhllhlhllhllhhhhllhllllhllllhllllhlllhllhlhllhhlhhhhhhhllhlllhllhlhllhhlhhhhllhllllhlllhllhlhllhllhhhhhhhllhhlhhhhllhh...

output:

298186

result:

ok single line: '298186'

Test #15:

score: 0
Accepted
time: 37ms
memory: 6500kb

input:

blbllblbblbllblbblbllblblblbblllblbbllblbllblbblbllblbblbllblblblbbllblbllblblblbbllblbllblbblbllblblblbbllblbllblblblbbllblbllblbblbllblbblbllblblblbblllblbblllblbblllblbbllblbllblblblbblllblbblllblbbllblbllblblblbblllblbbllblbllblbblbllblbblbllblblblbblllblbblllblbbllblbllblblblbblllblbblllblbblll...

output:

510790

result:

ok single line: '510790'

Test #16:

score: 0
Accepted
time: 36ms
memory: 5436kb

input:

aqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaq...

output:

584698

result:

ok single line: '584698'

Test #17:

score: 0
Accepted
time: 383ms
memory: 6660kb

input:

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...

output:

8554693400

result:

ok single line: '8554693400'

Test #18:

score: 0
Accepted
time: 328ms
memory: 6704kb

input:

abababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababababab...

output:

2154733200

result:

ok single line: '2154733200'

Test #19:

score: 0
Accepted
time: 316ms
memory: 6644kb

input:

abbbabbaaababbaabaaababaababbaabbbbbaaababbbbababbaabababaabbbaaabbababbababbabbbaabbabaaabaaabbbabbabbabaaaabbabbbababaabaabbaaaabbbbbbbababaabaababaaaaaabbbbbbbaaabaabaababbabaabababbbbabbabbaabbbaaababbbbabababababaabbbbbbbbbabbbbababaaabbbaababbbbaabbbbaabbaababbaaaababbabbabbabbabbaaaaaabbbbaab...

output:

930632

result:

ok single line: '930632'

Test #20:

score: 0
Accepted
time: 304ms
memory: 6760kb

input:

acbaabcbabcccccbbaaacaaacbacaabccbbccabbbaaacacbaccbaaaaaacbbcbabacaabaaabcbccbbccbaaabacacccacccbabcbbcaaabbaacaaabaabcaaccbacacbcbcacbbbbaacbbcccbbccabcacaaabcbbbbacbcbcaabbbccaabbcbacbcaccabbbcccccbcbbbabcabcacbccccacabccbccbccaaccbbbbbccbabbbcaabbaacaccacbcbaabbbbabbccbcacacbbcacbbccbacbbbcacccc...

output:

304687

result:

ok single line: '304687'

Test #21:

score: 0
Accepted
time: 279ms
memory: 6660kb

input:

gvqghqqtyruttomyqtjlimqxhhoiboxzggiduzwyaagmtvvogqwcfsgvnvzncgmhtpjtmnqekqyhzyvvnfofasxkcvrhlydmpfulmeugpayixcixaijfmkvhhbgikpyjlmvzrzbkhmtymjfkqzwafvimebzixveouiuwlkljnilpzdvrcygbtdsimysonrpolsunmdeqgatgudbkuihzgkqgucfczlhytrshtdhlvekmhnjllqfpkjwwujiifikmfvcpijojmnkjivvmbuweauqofpxnazdyisttwabrofjz...

output:

13605

result:

ok single line: '13605'

Test #22:

score: 0
Accepted
time: 287ms
memory: 6652kb

input:

abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmn...

output:

14989915

result:

ok single line: '14989915'

Test #23:

score: 0
Accepted
time: 315ms
memory: 6648kb

input:

aqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaqaaqaqqaaqqaqaaqaqqaqaaqqaaqaqqaaqqaqaaqqaaq...

output:

2798983

result:

ok single line: '2798983'