結果

問題 No.1018 suffixsuffixsuffix
ユーザー NyaanNyaanNyaanNyaan
提出日時 2020-04-03 22:17:01
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 99 ms / 2,000 ms
コード長 20,936 bytes
コンパイル時間 2,555 ms
コンパイル使用メモリ 198,892 KB
実行使用メモリ 7,444 KB
最終ジャッジ日時 2023-09-16 02:24:50
合計ジャッジ時間 7,203 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge15
このコードへのチャレンジ
（要ログイン）

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 2 ms
4,384 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 2 ms
4,380 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 41 ms
5,672 KB
testcase_10 AC 43 ms
5,620 KB
testcase_11 AC 48 ms
5,812 KB
testcase_12 AC 45 ms
5,532 KB
testcase_13 AC 45 ms
5,496 KB
testcase_14 AC 77 ms
7,044 KB
testcase_15 AC 78 ms
7,304 KB
testcase_16 AC 89 ms
7,444 KB
testcase_17 AC 85 ms
7,036 KB
testcase_18 AC 86 ms
7,296 KB
testcase_19 AC 21 ms
4,464 KB
testcase_20 AC 21 ms
4,776 KB
testcase_21 AC 21 ms
4,604 KB
testcase_22 AC 21 ms
4,584 KB
testcase_23 AC 22 ms
4,708 KB
testcase_24 AC 81 ms
7,100 KB
testcase_25 AC 91 ms
7,420 KB
testcase_26 AC 85 ms
7,096 KB
testcase_27 AC 92 ms
7,056 KB
testcase_28 AC 92 ms
7,088 KB
testcase_29 AC 31 ms
7,272 KB
testcase_30 AC 32 ms
7,016 KB
testcase_31 AC 31 ms
7,016 KB
testcase_32 AC 32 ms
7,260 KB
testcase_33 AC 31 ms
6,984 KB
testcase_34 AC 2 ms
4,380 KB
testcase_35 AC 22 ms
4,632 KB
testcase_36 AC 32 ms
7,272 KB
testcase_37 AC 99 ms
7,356 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 # 

#pragma region Tmpl
#include <bits/stdc++.h>  // clang-format off
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x,v) for(auto& x : v)
#define all(v) (v).begin(),(v).end()
#define sz(v) ((int)(v).size())
#define ini(...) int __VA_ARGS__; in(__VA_ARGS__)
#define inl(...) long long __VA_ARGS__; in(__VA_ARGS__)
#define ins(...) string __VA_ARGS__; in(__VA_ARGS__)
#define inc(...) char __VA_ARGS__; in(__VA_ARGS__)
#define in2(s,t)     rep(i,sz(s)){in(s[i] , t[i]);}
#define in3(s,t,u)   rep(i,sz(s)){in(s[i] , t[i] , u[i]);}
#define in4(s,t,u,v) rep(i,sz(s)){in(s[i] , t[i] , u[i] , v[i]);}
#ifdef ONLINE_JUDGE
  #define rep(i,N) for(int i = 0; i < (int)(N); i++)
  #define repr(i,N) for(int i = (int)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(int i = 1; i <= (int)(N) ; i++)
  #define repr1(i,N) for(int i = (N) ; (int)(i) > 0 ; i--)
#else
  #define rep(i,N) for(long long i = 0; i < (long long)(N); i++)
  #define repr(i,N) for(long long i = (long long)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(long long i = 1; i <= (long long)(N) ; i++)
  #define repr1(i,N) for(long long i = (N) ; (long long)(i) > 0 ; i--)
#endif
using namespace std; void solve();
using ll = long long; template<class T = ll> using V = vector<T>;
using vi = V<int>; using vl = V<>; using vvi = V< V<int> >;
using vd = V<double>; using vs = V<string>; using vvl = V< V<> >;
constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1;
template<typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template<typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T,typename U>ll ceil(T a,U b){return (a + b - 1) / b;}
template<typename T, typename U> ostream& operator <<(ostream& os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; }
template<typename T, typename U> istream& operator >>(istream& is, pair<T, U> &p) { is >> p.first >> p.second; return is; }
template<typename T> ostream& operator <<(ostream& os, const vector<T> &v) { int s = (int)v.size(); for(int i=0;i<s;i++) os << (i ? " " : "") << v[i]; return os; }
template<typename T> istream& operator >>(istream& is, vector<T> &v) { for(auto &x : v) is >> x; return is; }
void in(){} template <typename T,class... U> void in(T &t,U &...u){ cin >> t; in(u...);}
void out(){cout << "\n";} template <typename T,class... U> void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);}
template<typename T>void die(T x){out(x); exit(0);}

#ifdef NyaanDebug
  #include "NyaanDebug.h"
  #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0)
  #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);} while(0)
  #define trcc(v) do { cerr << "name : " << #v << "\n"; int cnt = 0; each(x , v){cerr << (cnt++) << " : "; trc(x); } } while(0)
#else
  #define trc(...)
  #define trca(...)
  #define trcc(...)
  int main(){solve();}
#endif
constexpr ll TEN(int n){ll ret=1,x=10;while(n){if(n&1)ret*=x;x*=x;n>>=1;}return ret;}
#define mem(a, val) memset(a, val, sizeof(a))
#pragma endregion
struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya;
using P = pair<int,int>; using vp = V<P>;
constexpr uint32_t MOD = /** 1000000007; //*/ 998244353;  // clang-format on
////////////////////////////////////////////////////

// Suffix Array
//verify https://judge.yosupo.jp/submission/240
struct SuffixArray{
  int _size;
  vector<int> sa;
  string &s;
  SuffixArray(string &str):_size(str.size()) , s(str) {
    // うしさんのO( N logN )の実装
    s.push_back(0);
    sa.resize(s.size());
    iota(begin(sa), end(sa), 0);
    sort(begin(sa), end(sa), [&](int a, int b) {
      return s[a] == s[b] ? a > b : s[a] < s[b];
    });
    vector< int > classes(s.size()), c(s.begin(), s.end()), cnt(s.size());
    for(int len = 1; len < (int)s.size(); len <<= 1) {
      for(int i = 0; i < (int)s.size(); i++) {
        if(i > 0 && c[sa[i - 1]] == c[sa[i]] && sa[i - 1] + len < (int)s.size() && c[sa[i - 1] + len / 2] == c[sa[i] + len / 2]) {
          classes[sa[i]] = classes[sa[i - 1]];
        } else {
          classes[sa[i]] = i;
        }
      }
      iota(begin(cnt), end(cnt), 0);
      copy(begin(sa), end(sa), begin(c));
      for(int i = 0; i < (int)s.size(); i++) {
        int s1 = c[i] - len;
        if(s1 >= 0) sa[cnt[classes[s1]]++] = s1;
      }
      classes.swap(c);
    }
    s.pop_back();
  }
  // デバッグ用に実装
  void output() {
    cout << "SA\tidx\tstr" << endl;
    for(int i = 0; i < size(); i++) {
      cout << i << ": \t" << sa[i] << " \t" ;
      if(sa[i] != _size) cout << s.substr(sa[i],_size - sa[i]) << endl;
      else cout << "$" << endl;
    }
    cout << endl;
  }
  // sa.size()と表せると便利なので実装
  int size() const{return _size + 1;}
  // sa[]と表せると便利なのでオーバーロードしておく
  int operator[](int k) const{return sa[k]; }
};

struct LCPArray {
  const SuffixArray &SA;
  vector<int> LCP, rank;
  LCPArray(const SuffixArray &sa) : SA(sa) {
    LCP.resize(SA.size()); rank.resize(SA.size());
    // 初期化　rankはsaの逆関数
    for(int i = 0; i < SA.size(); i++) {
      rank[SA[i]] = i;
    }
    LCP[0] = 0; 
    
    // 構築
    for(int i = 0, h = 0; i < SA.size() - 1 ; i++) {
      int j = SA[rank[i] - 1] ; h ? h-- : h;
      // ここで尺取り法に近い手法を使うことでO(N)でLCPの構築をしている
      while( (i > j ? i : j) + h < SA.size() - 1 && SA.s[i + h] == SA.s[j + h] && ++h );
      LCP[rank[i] - 1] = h;
    }
  }

  // デバッグ用に実装
  void output() {
    cout << "SA\tidx\tLCP\tstr" << endl;
     for(int i = 0 ; i < SA.size() ; i++){
      cout << i << "\t" << SA[i] <<" \t" << LCP[i] << "\t"; 
      if(SA[i] == SA.size() - 1) cout << "$";
      else cout << SA.s.substr(SA[i] , SA.size() - 1 - SA[i]);
      cout << endl;
    }
  }

};

// Sparse Table
template<typename T>
struct SparseTable{
  vector< vector< T > > table;
  vector< int > log_table;

  SparseTable(const vector< T > &v) {
    int b = 0;
    while((1 << b) <= (int)v.size()) ++b;
    table.assign(b, vector< T >(1 << b));
    for(int i = 0; i < (int)v.size(); i++) {
      table[0][i] = v[i];
    }
    for(int i = 1; i < b; i++) {
      for(int j = 0; j + (1 << i) <= (1 << b); j++) {
        table[i][j] = min(table[i - 1][j], table[i - 1][j + (1 << (i - 1))]);
      }
    }
    log_table.resize(v.size() + 1);
    for(int i = 2; i < (int)log_table.size(); i++) {
      log_table[i] = log_table[i >> 1] + 1;
    }
  }

  // 区間 [l , r) の最小値を返す
  inline T query(int l, int r) {
    int b = log_table[r - l];
    return min(table[b][l], table[b][r - (1 << b)]);
  }
};

// 文字列検索 検索 O(M + logN) メモリO(N logN)
// verify
// https://onlinejudge.u-aizu.ac.jp/status/users/NyaanNyaan/submissions/1/ALDS1_14_D/judge/3874273/C++14
// https://atcoder.jp/contests/abc135/submissions/7574225
// https://judge.yosupo.jp/submission/241
// https://atcoder.jp/contests/abc141/submissions/7577295
struct StringSearch{
  string &s;
  const SuffixArray &sa;
  const LCPArray &lcp;
  SparseTable<int> sparse;
  StringSearch(LCPArray &lcp)
    : s(lcp.SA.s) , sa(lcp.SA) , lcp(lcp) , sparse(lcp.LCP){ }

 // 文字列sの[i , N)と[j , N)の共通接頭辞の長さを求める
  int ArbitaryLCP(int i , int j){
    if(i == j) return (int)(s.size()) - i;
    return sparse.query(
      min(lcp.rank[i] , lcp.rank[j]) , 
      max(lcp.rank[i] , lcp.rank[j])  
    );
  }

  pair<int,int> comp(const string &t  , int len , int si , int ti = 0){
    int sn = (int)s.size() , tn = (int) t.size();
    si += len , ti += len;
    while(si < sn && ti < tn){
      if(s[si] != t[ti]) return make_pair( s[si]<t[ti] , ti);
      si++ , ti++;
    }
    return make_pair( (si>=sn && ti<tn) , ti);
  }  

  pair<int,int> find_range(int left , int med , int right , int len){
    {
      int ng = left - 1, ok = med;
      while(ng + 1 < ok){
        int cur = (ng + ok) / 2;
        if(sparse.query(cur , med) >= len) ok = cur;
        else ng = cur;
      }
      left = ok;
    }
    {
      int ok = med , ng = right + 1;
      while(ok + 1 < ng){
        int cur = (ng + ok) / 2;
        if(sparse.query(med, cur) >= len) ok = cur;
        else ng = cur;
      }
      right = ok;
    }
    return make_pair(left , right);
  }

  // 全ての出現範囲をSA上の[left , right]の範囲で返す
  // 存在しない場合は-1を返す
  pair<int,int> find(string &t){
    // 条件を満たす[left , right]を見つける
    // sa[0]は空文字列なので left = 1 とする
    // lenは既に一致している文字列の長さ
    int left = 1 , right = sa.size() - 1 , med = left;
    int leftlen = 0 , rightlen = 0 , tlen = t.size();
    pair<int,int> ret;
    while(left + 1 < right){
      med = (left + right) / 2;

      int corres_len = max(
        min(leftlen , sparse.query(left , med)) ,
        min(rightlen, sparse.query(med , right))
      );
      if(corres_len < max(leftlen , rightlen)){
        if(leftlen < rightlen) 
          left = med , leftlen = corres_len;
        else
          right= med ,rightlen = corres_len;
        continue;
      }
      ret = comp(t , corres_len , sa[med]);
      //trc(left,med,right,ret);
      if(ret.second == tlen)
        return find_range(left,med,right,tlen);
      if(ret.first == 0)
        right = med , rightlen = ret.second;
      else
        left = med , leftlen = ret.second;
    }
    if(sa.size() <= 3){
      if(comp(t,0,sa[left]).second==tlen) return find_range(left,left,right,tlen);
      if(comp(t,0,sa[right]).second==tlen) return find_range(left,right,right,tlen);
      return make_pair(-1,-1);
    }
    med = left + right - med;
    ret = comp(t , min(leftlen,rightlen) , sa[med]);
    //trc(left,med,right,ret);
    if(ret.second == tlen)
      return find_range(left,med,right,tlen);
    return make_pair(-1,-1);
  }
};

// Suffix Arrayの使い方(メモリを食うので必要なものだけ使う)
// 参照があるのでstringを削除などしないこと
/*
  SuffixArray sa(S);
  LCPArray lcp(sa);
  StringSearch search(lcp);
*/


// 使い方
// 文字列のハッシュ列 Roriha s_rori(S);
// 配列のハッシュ列 RollingHash<vector<int>> vrori(v);
template<typename string_t> struct RollingHash{
  using ull = unsigned long long;
  using Pu = pair<ull , ull>;
  string_t& data;
  vector<Pu> hashed , power;
  int size_;
  static Pu basis;
  
  static constexpr ull rmod = (1ull << 61) - 1;
  
  static constexpr ull mul(const ull a,const ull b){
    ull l1 = (uint32_t)a, h1 = a>>32, l2 = (uint32_t)b, h2 = b>>32;
    ull l = l1*l2, m = l1*h2 + l2*h1, h = h1*h2;
    ull ret = (l & rmod) + (l>>61) + (h << 3) + (m >> 29) + (m << 35 >> 3);
    if(ret > rmod) ret = (ret & rmod) + (ret>>61);
    if(ret >= rmod) ret -= rmod;
    return ret;
  }
  static constexpr ull mul_plus(const ull a,const ull b,const ull c){
    ull l1 = (uint32_t)a, h1 = a>>32, l2 = (uint32_t)b, h2 = b>>32;
    ull l = l1*l2, m = l1*h2 + l2*h1, h = h1*h2;
    ull ret = (l & rmod) + (l >> 61) + (h << 3) + (m >> 29) + (m << 35 >> 3) + c;
    if(ret > rmod) ret = (ret & rmod) + (ret>>61);
    if(ret >= rmod) ret -= rmod;
    return ret;
  }
  static constexpr ull modpow(ull a,ull b){
    a %= rmod;
    ull r = 1;
    while(b) {
      if(b & 1) r = mul(r , a);
      a = mul(a , a);
      b >>= 1;
    }
    return r;
  }
  static constexpr bool isPrimitive(ull x, vector<ull> &ds) {
    for(ll d : ds)
      if(d != rmod - 1) {
        if(modpow( x, (rmod - 1) / d ) == 1) return false;
      }
    return true;
  }
  static constexpr Pu get_basis(){
    vector<ull> ds = {2,3,5,7,11,13,31,41,61,151,331,1321};
    auto rand_time = chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count();
    mt19937_64 rng(rand_time);
    ull a = -1 , b = -1;
    do{ a = rng() % rmod; }while(isPrimitive(a , ds) == false);
    do{ b = rng() % rmod; }while(a == b || isPrimitive(b , ds) == false);
    return Pu(a , b);
  }

  // Rolling Hashの構築　O( |S| )
  RollingHash(string_t &S) : data(S) , size_((int)S.size()){
    // hashed[i] 部分列[0 , i)のハッシュを記録 hashed[0] = (0,0)
    // power[i] basisのi乗を記録
    hashed.resize(size_ + 1);
    power.resize(size_ + 1);
    power[0] = Pu(1 , 1); hashed[0] = Pu(0 , 0);
    for(int i = 1 ; i <= size_ ; i++ ){
      power[i].fi = mul( power[i - 1].fi , basis.fi);
      power[i].se = mul( power[i - 1].se , basis.se);
      hashed[i].fi = mul_plus( hashed[i - 1].fi , basis.fi , S[i - 1]);
      hashed[i].se = mul_plus( hashed[i - 1].se , basis.se , S[i - 1]);
    }
  }

  // 部分文字列[ l , r )のハッシュを取得 O(1)
  Pu get(const int l , const int r){
    Pu ret;
    ret.fi = rmod - mul_plus( hashed[l].fi , power[r-l].fi , rmod - hashed[r].fi );
    ret.se = rmod - mul_plus( hashed[l].se , power[r-l].se , rmod - hashed[r].se );
    return ret;
  }

  // 別の文字列のハッシュを取得　O( |T| )
  Pu get_hash(string_t &T){
    Pu ret = Pu(0 , 0);
    for(int i = 0 ; i < (int)T.size() ; i++){
      ret.fi = mul_plus(ret.fi , basis.fi , T[i]);
      ret.se = mul_plus(ret.se , basis.se , T[i]);
    }
    return ret;
  }

  // 別の文字列と一致判定 O ( |S| + |T| )
  // 存在するときは最初の文字を、存在しないときは-1を返す
  int find(string_t &T){
    auto t_hash = get_hash(T);
    int t_size = (int)(T.size());
    // |S| < |T|の時はfor文の中に入らないことに留意する
    for(int i = 0 ; i <= size_ - t_size ; i++){
      if(t_hash == get( i , i + t_size ) ) return i;
    }
    return -1;
  }

  // 別の文字列と一致判定 O ( |S| + |T| )
  // 一致する文字列のindexをすべて返す
  vector<int> find_all(string_t &T){
    auto t_hash = get_hash(T);
    int t_size = (int)(T.size());
    vector<int> ret;
    // |S| < |T|の時はfor文の中に入らないことに留意する
    for(int i = 0 ; i <= size_ - t_size ; i++){
      if(t_hash == get( i , i + t_size ) ) ret.push_back(i);
    }
    return ret;
  }

  // Longest Common Prefix(最長共通接頭辞) O( log |S| )
  // Sの[al , ar)とTの[bl , br)の最長共通接頭辞の長さを求める
  // 引数 (文字列Tのハッシュ列 , 文字列Sの開始地点a , 文字列Tの開始地点b)
  // 返り値　最長共通接頭辞の長さ
  int LongestCommonPrefix(RollingHash<string_t> &t , int al , int bl , int ar = -1 , int br = -1){
    if(ar == -1) ar = size_;
    if(br == -1) br = t.size_;
    int ok = 0 , ng = min(ar - al , br - bl)  + 1;
    while(ok + 1 < ng){
      int med = (ok + ng) / 2;
      if( get(al , med + al) == t.get(bl , med + bl) ) ok = med;
      else ng = med;
    }
    return ok;
  }

  // 文字列の大小比較 O( log |S + T| )　
  // Sの[al , ar)とTの[bl , br)の最長共通接頭辞の長さを求める
  // 返り値 1 Sのほうが大きい 0 同じ -1 Tのほうが大きい
  int strcmp(RollingHash<string_t> &t , int al , int bl , int ar = -1 , int br = -1){
    if(ar == -1) ar = size_;
    if(br == -1) br = t.size_;
    int n = LongestCommonPrefix(t , al , bl , ar , br);
    if(al + n == ar)
      return (bl + n == br) ? 0 : 1;
    else if(bl + n == br)
      return -1;
    else return ( data[al + n] < t.data[bl + n] ) ? 1 : -1; 
  }
  
  // 文字列内の最長一致部分文字列を検索 O ( |S| (log|S|)^2 )
  int LongestCommonSubString(){
    auto func = [&](int len) -> bool {
      map < Pu , int > m;
      for(int i = 0 ; i <= size_ - len ; i++){
        if( (m[get(i , i + len)] += 1) != 1) return true;
      }
      return false; 
    };
    int ok = 0 , ng = size_ ;
    while(ok + 1 < ng){
      int med = (ok + ng) / 2;
      if(func(med)) ok = med;
      else ng = med;
    }
    return ok;
  }

};
// ロリハのハッシュの初期化
template<typename T> pair<unsigned long long,unsigned long long> RollingHash<T>::basis = RollingHash<T>::get_basis();
using Roriha = RollingHash<string>;

// Prime -> 1 {0, 0, 1, 1, 0, 1, 0, 1, ...}
vector<int> Primes(int N) {
  vector<int> A(N + 1, 1);
  A[0] = A[1] = 0;
  for (int i = 2; i * i <= N; i++)
    if (A[i] == 1)
      for (int j = i << 1; j <= N; j += i) A[j] = 0;
  return A;
}

// Prime Sieve {2, 3, 5, 7, 11, 13, 17, ...}
vector<long long> PrimeSieve(int N) {
  vector<int> prime = Primes(N);
  vector<long long> ret;
  for (int i = 0; i < (int)prime.size(); i++)
    if (prime[i] == 1) ret.push_back(i);
  return ret;
}

// Factors (using for fast factorization)
// {0, 0, 1, 1, 2, 1, 2, 1, 2, 3, ...}
vector<int> Factors(int N) {
  vector<int> A(N + 1, 1);
  A[0] = A[1] = 0;
  for (int i = 2; i * i <= N; i++)
    if (A[i] == 1)
      for (int j = i << 1; j <= N; j += i) A[j] = i;
  return A;
}

// totient function φ(N)=(1 ~ N , gcd(i,N) = 1)
// {0, 1, 1, 2, 4, 2, 6, 4, ... }
vector<int> EulersTotientFunction(int N) {
  vector<int> ret(N + 1, 0);
  for (int i = 0; i <= N; i++) ret[i] = i;
  for (int i = 2; i <= N; i++) {
    if (ret[i] == i)
      for (int j = i; j <= N; j += i) ret[j] = ret[j] / i * (i - 1);
  }
  return ret;
}

// Divisor ex) 12 -> {1, 2, 3, 4, 6, 12}
vector<long long> Divisor(long long N) {
  vector<long long> v;
  for (long long i = 1; i * i <= N; i++) {
    if (N % i == 0) {
      v.push_back(i);
      if (i * i != N) v.push_back(N / i);
    }
  }
  return v;
}

// Factorization
// ex) 18 -> { (2,1) , (3,2) }
vector<pair<long long, int> > PrimeFactors(long long N) {
  vector<pair<long long, int> > ret;
  for (long long p = 2; p * p <= N; p++)
    if (N % p == 0) {
      ret.emplace_back(p, 0);
      while (N % p == 0) N /= p, ret.back().second++;
    }
  if (N >= 2) ret.emplace_back(N, 1);
  return ret;
}

// Factorization with Prime Sieve
// ex) 18 -> { (2,1) , (3,2) }
vector<pair<long long, int> > PrimeFactors(long long N,
                                           const vector<long long> &prime) {
  vector<pair<long long, int> > ret;
  for (auto &p : prime) {
    if (p * p > N) break;
    if (N % p == 0) {
      ret.emplace_back(p, 0);
      while (N % p == 0) N /= p, ret.back().second++;
    }
  }
  if (N >= 2) ret.emplace_back(N, 1);
  return ret;
}

// modpow for mod < 2 ^ 31
long long modpow(long long a, long long n, long long mod) {
  a %= mod;
  long long ret = 1;
  while (n > 0) {
    if (n & 1) ret = ret * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return ret % mod;
};

// Check if r is Primitive Root
bool isPrimitiveRoot(long long r, long long mod) {
  r %= mod;
  if (r == 0) return false;
  auto pf = PrimeFactors(mod - 1);
  for (auto &x : pf) {
    if (modpow(r, (mod - 1) / x.first, mod) == 1) return false;
  }
  return true;
}

// Get Primitive Root
long long PrimitiveRoot(long long mod) {
  long long ret = 1;
  while (isPrimitiveRoot(ret, mod) == false) ret++;
  return ret;
}

// Extended Euclidean algorithm
// solve : ax + by = gcd(a, b)
long long extgcd(long long a, long long b, long long &x, long long &y) {
  if (b == 0) {
    x = 1;
    y = 0;
    return a;
  }
  long long d = extgcd(b, a % b, y, x);
  y -= a / b * x;
  return d;
}

// Check if n is Square Number
bool isSquare(ll n) {
  if(n == 0 || n == 1) return true;
  ll d = (ll)sqrt(n) - 1;
  while (d * d < n) ++d;
  return d * d == n;
}

// return a number of n's digit
// zero ... return value if n = 0 (default -> 1)
int isDigit(ll n, int zero = 1) {
  if (n == 0) return zero;
  int ret = 0;
  while (n) {
    n /= 10;
    ret++;
  }
  return ret;
}

void solve(){
  inl(N,M,Q);
  ins(S);
  vl K(Q); in(K);

  // 別に処理
  if(M == 1){
    SuffixArray sa(S);
    vi ans(Q);
    rep(i,Q){
      ans[i] = sa.sa[K[i]] + 1;
    }
    out(ans);
    exit(0);
  }

  // 周期性を排除
  {
    Roriha rori(S);
    auto ds = Divisor(N);
    sort(all(ds));
    each(d,ds){
      int ok = 1;
      auto ide = rori.get(0,d);
      for(int i = 0 ; i < N ; i += d){
        if(rori.get(i,i+d) != ide){
          ok = 0; break;
        }
      }
      if(ok){
        S = S.substr(0,d);
        M *= (N / d);
        N = d;
        break;
      }
    }
  }

  S += S;
  SuffixArray sa(S);
  // 前から見ていく
  vl ans(Q);
  ll ki = 0;
  ll cur = 1;
  each(x , sa.sa){
    if(ki == Q) break;
    if(x == sz(S)) continue;

    // 次のものがcur番目
    
    // nxtは？
    ll nxt;
    // 短い方
    if(x >= N) nxt = cur + 1;
    // 長い方
    else nxt = cur + M - 1;
  
    while(ki != Q && K[ki] < nxt){
      if(x >= N) ans[ki] = N * M - 2 * N + x + 1;
      // cur が N*M - 2 * N + x + 1
      // 1増えるごとにN後退していく
      else ans[ki] = N*M - 2*N + x + 1 - (K[ki]-cur)*N;
      ki++;
    }
    cur = nxt;
  }

  out(ans);





}
0