#171988 (C++14) No.515 典型LCP

提出ソース
結果

問題	No.515 典型LCP
ユーザー	koyumeishi
提出日時	2017-05-06 00:45:44
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	TLE (最新) AC (最初)
実行時間	-
コード長	13,313 bytes
コンパイル時間	2,223 ms
コンパイル使用メモリ	143,292 KB
実行使用メモリ	102,860 KB
最終ジャッジ日時	2023-10-12 11:17:29
合計ジャッジ時間	13,353 ms
ジャッジサーバーID （参考情報）	judge12 / judge13
このコードへのチャレンジ
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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	TLE	-
testcase_01	AC	855 ms 97,824 KB
testcase_02	AC	388 ms 80,780 KB
testcase_03	AC	1 ms 4,352 KB
testcase_04	AC	2 ms 4,352 KB
testcase_05	AC	707 ms 86,688 KB
testcase_06	AC	721 ms 89,784 KB
testcase_07	AC	716 ms 89,236 KB
testcase_08	AC	754 ms 86,924 KB
testcase_09	AC	311 ms 81,392 KB
testcase_10	AC	311 ms 81,892 KB
testcase_11	AC	311 ms 81,584 KB
testcase_12	AC	312 ms 81,720 KB
testcase_13	AC	304 ms 81,096 KB
testcase_14	AC	183 ms 80,744 KB
testcase_15	AC	682 ms 85,840 KB
testcase_16	AC	695 ms 86,360 KB
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ソースコード

raw source code
#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;
    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;
    }
  }
};

class SuffixArray{
 public:
  vector<int> sa;
  vector<int> lcp;
  vector<int> rank;

  SuffixArray(const string& SS)
   : S(SS),
     len(SS.size()),
     sa(SS.size()+1),
     lcp(SS.size()+1),
     rank(SS.size()+1)
  {
    constract_sa();
    constract_lcp();
  }

  void dbg_print(){
    for(int i=0; i<=len; i++){
      cerr << S.substr(sa[i]) << " " << lcp[i] << endl;
    }
  }

 private:
  const string& S;
  int len;

  //Manber & Myers
  //O(len (logN)^2)
  void constract_sa(){
    //first character
    for(int i=0; i<=len; i++){
      sa[i] = i;
      rank[i] = (i<len) ? S[i] : -1;
    }

    vector<int> tmp(len+1);
    for(int k=1; k<=len; k *= 2){
      auto cmp_func = [&](int x, int y) -> bool{
        if(rank[x] != rank[y]) return rank[x] < rank[y];
        int l = (x+k <= len) ? rank[x+k] : -1;
        int r = (y+k <= len) ? rank[y+k] : -1;
        return l < r;
      };
      sort(sa.begin(), sa.end(), cmp_func);
      tmp[sa[0]] = 0;
      for(int i=1; i<=len; i++){
        tmp[sa[i]] = tmp[sa[i-1]] + (cmp_func(sa[i-1],sa[i])==true?1:0);
      }
      for(int i=0; i<=len; i++){
        rank[i] = tmp[i];
      }
    }
  }

  void constract_lcp(){
    for(int i=0; i<=len; i++) rank[sa[i]] = i;
    int h=0;
    lcp[0] = 0;
    for(int i=0; i<len; i++){
      int j=sa[rank[i]-1];
      if(h>0) h--;
      for(; j+h<len && i+h<len; h++){
        if(S[j+h] != S[i+h]) break;
      }
      lcp[rank[i] - 1] = h;
    }
  }
};
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)){
          table[k][i] = table[k-1][i];
        }else{
          table[k][i] = table[k-1][i+(1<<(k-1))];
        }
      }
    }
  }

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

    T ret = default_value;

    int k = 0;
    while((1<<(k+1)) < (r-l)) k++;

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

    ret = evaluate(left, right);
    return ret;
  }

 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;
};

int main(){
  int n;
  cin >> n;

  vector<string> s(n);
  cin >> s;

  long long m,x,d;
  cin >> m,x,d;

  long long ans = 0;

  string ss;
  vector<int> pos(n);
  for(int i=0; i<n; i++){
    pos[i] = ss.size();
    ss += s[i] + "$";
  }

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

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

    if( pl>pr ) swap(pl,pr);
    int lcp_len = st.get(pl,pr);

    lcp_len = min<int>(lcp_len, min(s[l].size(), s[r].size()));
    ans += lcp_len;
  }

  println(ans);
  return 0;
}
yukicoder

結果

テストケース

ソースコード
