結果

問題 No.515 典型LCP
ユーザー koyumeishikoyumeishi
提出日時 2017-05-06 03:29:06
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 846 ms / 1,000 ms
コード長 12,789 bytes
コンパイル時間 2,069 ms
コンパイル使用メモリ 140,644 KB
実行使用メモリ 87,928 KB
最終ジャッジ日時 2023-10-12 13:16:26
合計ジャッジ時間 10,039 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 846 ms
86,256 KB
testcase_01 AC 434 ms
85,192 KB
testcase_02 AC 238 ms
79,920 KB
testcase_03 AC 1 ms
4,348 KB
testcase_04 AC 2 ms
4,352 KB
testcase_05 AC 575 ms
84,708 KB
testcase_06 AC 576 ms
87,928 KB
testcase_07 AC 564 ms
84,416 KB
testcase_08 AC 601 ms
85,048 KB
testcase_09 AC 223 ms
80,108 KB
testcase_10 AC 212 ms
80,172 KB
testcase_11 AC 214 ms
79,948 KB
testcase_12 AC 214 ms
79,816 KB
testcase_13 AC 185 ms
79,940 KB
testcase_14 AC 112 ms
80,072 KB
testcase_15 AC 557 ms
84,184 KB
testcase_16 AC 555 ms
84,828 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <iostream>
#include <vector>
#include <cstdio>
#include <sstream>
#include <map>
#include <string>
#include <algorithm>
#include <queue>
#include <cmath>
#include <functional>
#include <set>
#include <ctime>
#include <random>
#include <chrono>
#include <cassert>
#include <tuple>
#include <utility>
using namespace std;

namespace {
  using Integer = long long; //__int128;
  template<class T, class S> istream& operator >> (istream& is, pair<T,S>& p){return is >> p.first >> p.second;}
  template<class T> istream& operator >> (istream& is, vector<T>& vec){for(T& val: vec) is >> val; return is;}
  template<class T> istream& operator ,  (istream& is, T& val){ return is >> val;}
  template<class T, class S> ostream& operator << (ostream& os, const pair<T,S>& p){return os << p.first << " " << p.second;}
  template<class T> ostream& operator << (ostream& os, const vector<T>& vec){for(size_t i=0; i<vec.size(); i++) os << vec[i] << (i==vec.size()-1?"":" "); return os;}
  template<class T> ostream& operator ,  (ostream& os, const T& val){ return os << " " << val;}

  template<class H> void print(const H& head){ cout << head; }
  template<class H, class ... T> void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); }
  template<class ... T> void println(const T& ... values){ print(values...); cout << endl; }

  template<class H> void eprint(const H& head){ cerr << head; }
  template<class H, class ... T> void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); }
  template<class ... T> void eprintln(const T& ... values){ eprint(values...); cerr << endl; }

  class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator   end(){ return range_iterator(  end_, step_); } };

  inline string operator "" _s (const char* str, size_t size){ return move(string(str)); }
  constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);}
  constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);}
  constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); }

  inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed

  mt19937 mt(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count());

  template<class T> string join(const vector<T>& v, const string& sep){ stringstream ss; for(size_t i=0; i<v.size(); i++){ if(i>0) ss << sep; ss << v[i]; } return ss.str(); }

  inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; }
}
constexpr long long mod = 9_ten + 7;

class SA_IS{
  //compress alphabets
  //return vector<count of alphabet>
  vector<int> compress(vector<int>& v){
    set<int> alph(v.begin(), v.end());
    vector<int> dic(alph.begin(), alph.end());
    vector<int> bucket_size(dic.size(),0);
    for(int i=0; i<v.size(); i++){
      v[i] = lower_bound(dic.begin(), dic.end(), v[i]) - dic.begin();
      bucket_size[v[i]]++;
    }
    return bucket_size;
  }
public:
  static const int L = 0;
  static const int S = 1;
  
  string& my_s;
  vector<int> sa;
  vector<int> lcp;

  struct substring{
    int pos;
    int size;
    vector<int>::iterator str;
    vector<int>::iterator ls;
    substring(){
    }
    substring(const int pos, const int size, const vector<int>::iterator& str, const vector<int>::iterator& ls){
      this->pos = pos;
      this->size = size;
      this->str = str;
      this->ls = ls;
    }
    bool operator<(const substring& x) const {
      for(int i=0; i<min(this->size, x.size); i++){
        if(this->str[i] != x.str[i]){
          return this->str[i] < x.str[i];
        }else if(this->ls[i] != x.ls[i]){
          return this->ls[i] == SA_IS::L;
        }
      }
      return this->size < x.size;
    }
    bool operator==(const substring& x) const {
      for(int i=0; i<min(this->size, x.size); i++){
        if(this->str[i] != x.str[i]){
          return false;
        }else if(this->ls[i] != x.ls[i]){
          return false;
        }
      }
      return this->size == x.size;
    }
    substring operator=(const substring& x){
      this->pos = x.pos;
      this->size = x.size;
      this->str = x.str;
      this->ls = x.ls;
      return *this;
    }
  };
  
  vector<int> rec(vector<int>& v){
    v.push_back(-1);
    vector<int> bucket_size = compress(v);

    //bucket
    vector<int> ret(v.size(), -1);
    vector<vector<int>::iterator> bucket(bucket_size.size());
    vector<bool> fixed(v.size(), false);
    vector<vector<bool>::iterator> bucket_fixed(bucket_size.size());
    vector<int> bucket_front(bucket_size.size());
    vector<int> bucket_back(bucket_size.size());
    vector<bool> used(v.size(), false);
    
    //initialize
    {
      int sum = 0;
      for(int i=0; i<bucket_size.size(); ++i){
        bucket[i] = ret.begin() + sum;
        bucket_fixed[i] = fixed.begin() +sum;
        bucket_front[i] = 0;
        bucket_back[i]  = bucket_size[i] - 1;
        sum += bucket_size[i];
      }
    }
    
    vector<int> LS(v.size());
    LS.back() = S;
    for(int i=v.size()-2; i>=0; --i){
      if(v[i] < v[i+1])   LS[i] = S;
      else if (v[i] > v[i+1]) LS[i] = L;
      else          LS[i] = LS[i+1];
    }

    
    vector<int> LMS;
    for(int i=1; i<v.size(); ++i){
      if(LS[i] != S) continue;
      if(LS[i-1] == L) LMS.push_back(i);
    }
    LMS.push_back(v.size()-1);
    
    
    vector< pair<substring, int> > LMS_substring;
    for(int i=0; i<LMS.size()-1; ++i){
      substring sub(LMS[i], LMS[i+1]-LMS[i]+1, v.begin()+LMS[i], LS.begin()+LMS[i]);
      LMS_substring.push_back({sub, LMS_substring.size()});
    }

    if(LMS_substring.size() > 0){
      vector< pair<substring, int>> LMS_substring_old = LMS_substring;

      sort(LMS_substring.begin(), LMS_substring.end());

      vector<int> LMS_order(LMS_substring.size());

      int cnt = 0;
      LMS_order[ LMS_substring[0].second ] = cnt;
      cnt++;
      for(int i=1; i<LMS_substring.size(); ++i){
        if(LMS_substring[i].first == LMS_substring[i-1].first){
          LMS_order[ LMS_substring[i].second ] = cnt-1;
        }else{
          LMS_order[ LMS_substring[i].second ] = cnt;
          cnt++;
        }
      }

      if(cnt != LMS_substring.size()){
        vector<int> new_order = rec(LMS_order);
        LMS_order = vector<int>(new_order.begin()+1, new_order.end());
        for(int i=0; i<LMS_substring.size(); ++i){
          LMS_substring[i].first = LMS_substring_old[LMS_order[i]].first;
        }
      }

      for(int i=LMS_substring.size()-1; i>=0; --i){
        int c = v[LMS_substring[i].first.pos];
        bucket[c][bucket_back[c]] = LMS_substring[i].first.pos;
        bucket_back[c]--;
      }
    }


    for(int i=0; i<bucket_size.size(); ++i){
      for(int j=0; j<bucket_size[i]; ++j){
        if( bucket[i][j] - 1 < 0 ) continue;
        if( LS[ bucket[i][j]-1 ] == L ){
          if(used[bucket[i][j]-1]) continue;
          used[ bucket[i][j]-1 ] = true;
          
          int c = v[ bucket[i][j]-1 ];
          bucket[c][ bucket_front[c] ] = bucket[i][j]-1;
          bucket_fixed[c][ bucket_front[c] ] = true;
          bucket_front[c]++;
        }
      }
      bucket_back[i] = bucket_size[i] - 1;
    }
    for(int i=0; i<v.size(); ++i){
      if(fixed[i] == false){
        ret[i] = -1;
      }
    }
    
    for(int i=bucket_size.size()-1; i>=0; --i){
      for(int j=bucket_size[i]-1; j>=0; --j){
        if( bucket[i][j] - 1 < 0 ) continue;
        if( LS[ bucket[i][j]-1 ] == S ){
          if(used[bucket[i][j]-1]) continue;
          used[ bucket[i][j]-1 ] = true;
          
          int c = v[ bucket[i][j]-1 ];
          bucket[c][ bucket_back[c] ] = bucket[i][j]-1;
          bucket_fixed[c][ bucket_back[c] ] = true;
          bucket_back[c]--;
        }
      }
    }
    
    ret[0] = ret.size()-1;
  
    return ret;
  }
  
  vector<int> rec(string &s){
    vector<int> v(s.begin(), s.end());
    return rec(v);
  }
  
  void constract_lcp(){
    int n = my_s.size();
    lcp.resize(n+1);
    vector<int> rank(n+1);
    for(int i=0; i<=n; i++) rank[sa[i]] = i;
    int h=0;
    lcp[0] = 0;
    for(int i=0; i<n; i++){
      int j=sa[rank[i]-1];
      if(h>0) h--;
      for(; j+h<n && i+h<n; h++){
        if(my_s[j+h] != my_s[i+h]) break;
      }
      lcp[rank[i] - 1] = h;
    }
  }

  SA_IS(string s) : my_s(s){
    // my_s = s;
    sa = rec(s);
    constract_lcp();
  }
  
  void dbg_print(){
    for(int i=0; i<=my_s.size(); i++){
      string p(my_s.begin() + sa[i], my_s.end());
      cerr << p << " " << sa[i] << /*" " << lcp[i] <<*/ endl;
    }
  }
};

template<class T=int>
class SparseTable{
 public:
  SparseTable(int len, T default_value_ = 100000000, function<T(T,T)> eval = default_evaluate)
   : col(len), default_value(default_value_) 
  {
    evaluate = eval;
    row = 1;
    while((1<<row) < col) row += 1;
    row++;
    table = vector<vector<T>>(row, vector<T>(col, default_value));
  }

  SparseTable(vector<T>& vec, T default_value_ = 100000000, function<T(T,T)> eval = default_evaluate)
   : col(vec.size()), default_value(default_value_)
  {
    evaluate = eval;

    row = 1;
    while((1<<row) < col) row += 1;
    row++;
    table = vector<vector<T>>(row, vector<T>(col, default_value));

    set(vec);
  }

  void set(vector<T>& vec){
    assert(col == vec.size());

    values = &vec;
    vector<T>& val = vec;

    iota(table[0].begin(), table[0].end(), 0);
    for(int k=1; k<row; k++){
      for(int i=0; i + (1<<k)-1 < col; i++){
        T left = val[table[k-1][i]];
        T right = val[table[k-1][i+(1<<(k-1))]];
        // if(left == evaluate(left,right)){
        if(left == min(left,right)){
          table[k][i] = table[k-1][i];
        }else{
          table[k][i] = table[k-1][i+(1<<(k-1))];
        }
      }
    }
  }

  //[l,r)
  inline T get(int l, int r){
    if(l>=r) return default_value;
    vector<T>& val = *values;

    T ret = default_value;

    int k = 0;
    static vector<unsigned char> log_k(col+1);
    static bool set = false;
    if(!set){
      int kk = 0;
      for(int i=2; i<=col; i++){
        if( (i&-i) == i ) kk++;
        log_k[i] = kk;
      }
      set = true;
    }
    // while((1<<(k+1)) < (r-l)) k++;
    k = log_k[r-l];

    // T left = val[ table[k][l] ];
    // T right = val[ table[k][r-(1<<k)] ];

    // ret = min(left, right);
    return min(val[ table[k][l] ], val[ table[k][r-(1<<k)] ]);
  }

 private:
  int col;
  int row;
  T default_value;
  vector<T>* values;
  vector<vector<T>> table;

  static T default_evaluate(T a, T b){
    return min(a,b);
  }
  function<T(T,T)> evaluate;
};

char buff[800010];
int len[100000];
int main(){
  auto start_ = chrono::steady_clock::now();

  int n;
  // cin >> n;
  scanf("%d", &n);

  // vector<string> s(n);
  vector<int> pos(n);
  string ss;
  ss.reserve(900010);
  for(int i=0; i<n; ++i){
    scanf("%s", buff);
    // s[i] = buff;
    pos[i] = ss.size();
    ss += buff ;
    // ss += "$";
    len[i] = ss.size() - pos[i];
  }
  //cin >> s;

  long long m,x,d;
  // cin >> m,x,d;
  scanf("%lld%lld%lld", &m,&x,&d);

  long long ans = 0;
  // SuffixArray sa(ss);
  SA_IS sa(ss);
  SparseTable<int> st( sa.lcp );

  // sa.dbg_print();

  vector<int> rank(sa.sa.size());
  for(int i=0; i<sa.sa.size(); ++i){
    rank[ sa.sa[i] ] = i;
  }
  for(int i=0; i<n; ++i){
    pos[i] = rank[pos[i]];
  }
  // abort(); 

  cerr << chrono::duration_cast<chrono::milliseconds>(chrono::steady_clock::now()-start_).count() << " [ms]" << endl;


  long long nn = n*(n-1ll);
  for(int i=0; i<m; ++i){
    long long l = (x / (n-1));
    long long r = x-l * (n-1);//(x%(n-1));
    if( l>r ) swap(l,r);
    else r = r+1;
    x += d;
    if( x >= nn ) x -= nn;

    int pl = pos[l];
    int pr = pos[r];

    if( pl>pr ) swap(pl,pr);

    ans += min<int>( min(len[l],len[r]), st.get(pl,pr) );
  }

  // println(ans);
  printf("%lld\n", ans);

  cerr << chrono::duration_cast<chrono::milliseconds>(chrono::steady_clock::now()-start_).count() << " [ms]" << endl;
  return 0;
}
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