結果

問題 No.3000 Optimal Run Length Encoding
ユーザー NyaanNyaanNyaanNyaan
提出日時 2024-12-16 22:24:10
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 17,048 bytes
コンパイル時間 3,845 ms
コンパイル使用メモリ 282,108 KB
実行使用メモリ 168,372 KB
最終ジャッジ日時 2024-12-24 23:47:55
合計ジャッジ時間 114,677 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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 AC 2 ms
5,248 KB
testcase_01 AC 197 ms
5,248 KB
testcase_02 AC 194 ms
5,248 KB
testcase_03 AC 188 ms
5,248 KB
testcase_04 AC 215 ms
5,248 KB
testcase_05 AC 172 ms
5,248 KB
testcase_06 AC 169 ms
5,248 KB
testcase_07 AC 185 ms
5,248 KB
testcase_08 AC 177 ms
5,248 KB
testcase_09 AC 199 ms
5,248 KB
testcase_10 AC 162 ms
5,248 KB
testcase_11 AC 175 ms
5,248 KB
testcase_12 AC 177 ms
5,248 KB
testcase_13 AC 177 ms
5,248 KB
testcase_14 AC 164 ms
5,248 KB
testcase_15 AC 166 ms
5,248 KB
testcase_16 AC 173 ms
5,248 KB
testcase_17 AC 159 ms
5,248 KB
testcase_18 AC 113 ms
5,248 KB
testcase_19 AC 301 ms
5,248 KB
testcase_20 AC 301 ms
5,248 KB
testcase_21 AC 297 ms
5,248 KB
testcase_22 AC 285 ms
5,248 KB
testcase_23 AC 317 ms
5,248 KB
testcase_24 AC 286 ms
5,248 KB
testcase_25 AC 289 ms
5,248 KB
testcase_26 AC 285 ms
5,248 KB
testcase_27 AC 280 ms
5,248 KB
testcase_28 AC 289 ms
5,248 KB
testcase_29 AC 314 ms
5,248 KB
testcase_30 AC 381 ms
5,248 KB
testcase_31 AC 396 ms
5,248 KB
testcase_32 AC 416 ms
5,248 KB
testcase_33 AC 497 ms
5,248 KB
testcase_34 AC 555 ms
10,984 KB
testcase_35 AC 336 ms
22,848 KB
testcase_36 AC 312 ms
22,604 KB
testcase_37 AC 310 ms
22,744 KB
testcase_38 AC 305 ms
22,616 KB
testcase_39 AC 332 ms
22,616 KB
testcase_40 AC 303 ms
22,796 KB
testcase_41 AC 301 ms
22,724 KB
testcase_42 AC 351 ms
22,740 KB
testcase_43 AC 342 ms
22,744 KB
testcase_44 AC 333 ms
22,732 KB
testcase_45 AC 1,411 ms
168,372 KB
testcase_46 AC 1,068 ms
152,872 KB
testcase_47 AC 1,365 ms
162,248 KB
testcase_48 AC 1,195 ms
156,484 KB
testcase_49 AC 1,338 ms
159,136 KB
testcase_50 AC 1,326 ms
158,800 KB
testcase_51 AC 1,439 ms
160,824 KB
testcase_52 AC 1,224 ms
161,884 KB
testcase_53 AC 1,405 ms
162,104 KB
testcase_54 AC 1,110 ms
147,964 KB
testcase_55 AC 1,419 ms
168,372 KB
testcase_56 AC 1,233 ms
161,580 KB
testcase_57 AC 1,310 ms
155,936 KB
testcase_58 AC 1,095 ms
152,976 KB
testcase_59 AC 1,388 ms
163,752 KB
testcase_60 AC 1,429 ms
168,372 KB
testcase_61 AC 1,352 ms
162,920 KB
testcase_62 AC 1,088 ms
155,928 KB
testcase_63 AC 1,320 ms
159,732 KB
testcase_64 AC 1,080 ms
152,492 KB
testcase_65 AC 656 ms
48,048 KB
testcase_66 AC 356 ms
27,752 KB
testcase_67 AC 628 ms
40,720 KB
testcase_68 AC 354 ms
26,520 KB
testcase_69 AC 664 ms
48,796 KB
testcase_70 AC 1,250 ms
110,808 KB
testcase_71 AC 338 ms
25,884 KB
testcase_72 AC 692 ms
40,856 KB
testcase_73 AC 324 ms
25,612 KB
testcase_74 AC 831 ms
44,732 KB
testcase_75 AC 351 ms
36,540 KB
testcase_76 AC 987 ms
44,896 KB
testcase_77 AC 300 ms
23,584 KB
testcase_78 AC 613 ms
40,280 KB
testcase_79 AC 306 ms
25,016 KB
testcase_80 AC 527 ms
39,256 KB
testcase_81 AC 76 ms
5,248 KB
testcase_82 AC 1,416 ms
68,452 KB
testcase_83 AC 1,419 ms
68,084 KB
testcase_84 AC 1,460 ms
67,848 KB
testcase_85 AC 1,722 ms
67,052 KB
testcase_86 AC 1,562 ms
64,208 KB
testcase_87 AC 1,266 ms
71,720 KB
testcase_88 AC 1,511 ms
65,404 KB
testcase_89 AC 1,261 ms
71,716 KB
testcase_90 AC 1,474 ms
62,292 KB
testcase_91 AC 1,531 ms
63,668 KB
testcase_92 AC 1,417 ms
67,892 KB
testcase_93 AC 1,434 ms
67,748 KB
testcase_94 AC 1,439 ms
67,492 KB
testcase_95 WA -
testcase_96 WA -
testcase_97 WA -
testcase_98 AC 240 ms
21,308 KB
testcase_99 AC 333 ms
19,520 KB
testcase_100 WA -
testcase_101 AC 473 ms
24,936 KB
testcase_102 AC 641 ms
26,928 KB
testcase_103 AC 550 ms
28,364 KB
testcase_104 AC 655 ms
30,420 KB
testcase_105 AC 416 ms
27,500 KB
testcase_106 AC 814 ms
30,416 KB
testcase_107 AC 348 ms
27,072 KB
testcase_108 AC 538 ms
29,588 KB
testcase_109 AC 402 ms
27,048 KB
testcase_110 AC 395 ms
28,348 KB
testcase_111 AC 754 ms
31,896 KB
testcase_112 AC 709 ms
41,480 KB
testcase_113 AC 761 ms
41,484 KB
testcase_114 AC 723 ms
41,468 KB
testcase_115 AC 755 ms
41,476 KB
testcase_116 AC 745 ms
40,380 KB
testcase_117 AC 716 ms
41,092 KB
testcase_118 AC 742 ms
44,112 KB
testcase_119 AC 713 ms
40,380 KB
testcase_120 AC 740 ms
40,644 KB
testcase_121 AC 752 ms
40,880 KB
testcase_122 AC 736 ms
40,900 KB
testcase_123 AC 753 ms
41,020 KB
testcase_124 AC 751 ms
40,900 KB
testcase_125 WA -
testcase_126 WA -
testcase_127 AC 744 ms
41,412 KB
testcase_128 WA -
testcase_129 WA -
testcase_130 AC 731 ms
44,236 KB
testcase_131 WA -
testcase_132 AC 1,055 ms
87,044 KB
testcase_133 AC 1,020 ms
85,256 KB
testcase_134 AC 1,034 ms
83,512 KB
testcase_135 AC 1,053 ms
81,232 KB
testcase_136 AC 1,079 ms
77,212 KB
testcase_137 AC 1,078 ms
76,868 KB
testcase_138 AC 1,116 ms
76,120 KB
testcase_139 AC 1,102 ms
75,516 KB
testcase_140 AC 1,131 ms
74,632 KB
testcase_141 AC 1,143 ms
73,608 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 # 

/**
 * date   : 2024-12-16 22:24:06
 * author : Nyaan
 */

#define NDEBUG

using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tr2/dynamic_bitset>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility

namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  constexpr P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  template <typename S>
  P &operator*=(const S &r) {
    first *= r, second *= r;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
  template <typename S>
  P operator*(const S &r) const {
    return P(*this) *= r;
  }
  P operator-() const { return P{-first, -second}; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}

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>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N, F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

vector<int> mkiota(int n) {
  vector<int> ret(n);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
T mkrev(const T &v) {
  T w{v};
  reverse(begin(w), end(w));
  return w;
}

template <typename T>
bool nxp(T &v) {
  return next_permutation(begin(v), end(v));
}

// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
  vector<vector<T>> ret;
  vector<T> v;
  auto dfs = [&](auto rc, int i) -> void {
    if (i == (int)a.size()) {
      ret.push_back(v);
      return;
    }
    for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
  };
  dfs(dfs, 0);
  return ret;
}

// F : function(void(T&)), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I, const function<void(T &)> &f) {
  T res = I;
  for (; n; f(a = a * a), n >>= 1) {
    if (n & 1) f(res = res * a);
  }
  return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
  return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}

template <typename T>
T Rev(const T &v) {
  T res = v;
  reverse(begin(res), end(res));
  return res;
}

template <typename T>
vector<T> Transpose(const vector<T> &v) {
  using U = typename T::value_type;
  if(v.empty()) return {};
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      res[j][i] = v[i][j];
    }
  }
  return res;
}

template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
  using U = typename T::value_type;
  int H = v.size(), W = v[0].size();
  vector res(W, T(H, U{}));
  for (int i = 0; i < H; i++) {
    for (int j = 0; j < W; j++) {
      if (clockwise) {
        res[W - 1 - j][i] = v[i][j];
      } else {
        res[j][H - 1 - i] = v[i][j];
      }
    }
  }
  return res;
}

}  // namespace Nyaan


// bit operation

namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return __builtin_popcountll(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
}  // namespace Nyaan


// inout

namespace Nyaan {

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;
}

istream &operator>>(istream &is, __int128_t &x) {
  string S;
  is >> S;
  x = 0;
  int flag = 0;
  for (auto &c : S) {
    if (c == '-') {
      flag = true;
      continue;
    }
    x *= 10;
    x += c - '0';
  }
  if (flag) x = -x;
  return is;
}

istream &operator>>(istream &is, __uint128_t &x) {
  string S;
  is >> S;
  x = 0;
  for (auto &c : S) {
    x *= 10;
    x += c - '0';
  }
  return is;
}

ostream &operator<<(ostream &os, __int128_t x) {
  if (x == 0) return os << 0;
  if (x < 0) os << '-', x = -x;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
  if (x == 0) return os << 0;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}

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, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan


// debug


#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif

#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif


// macro

#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#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--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#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 in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }
#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)


namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }


//



using namespace std;



template <typename Container>
vector<int> z_algorithm(const Container& s) {
  int n = s.size();
  if(n == 0) return {};
  vector<int> a(n);
  a[0] = n;
  int i = 1, j = 0;
  while (i < n) {
    while (i + j < n && s[j] == s[i + j]) j++;
    a[i] = j;
    if (j == 0) {
      i++;
      continue;
    }
    int k = 1;
    while (i + k < n && k + a[k] < j) a[i + k] = a[k], k++;
    i += k, j -= k;
  }
  return a;
}

/**
 * @brief Z algorithm
 */


// (p, l, r) : S[l, r) は周期 p かつ極大
// sum_{(p,l,r)} 1 <= n
// sum_{(p,l,r)} (r-l)/p <= 3n
// sum_{(p,l,r)} (r-l+1-2*p) = O(n log n)
template <typename C>
vector<tuple<int, int, int>> run_enumerate(const C& S) {
  int N = S.size();
  using T = tuple<int, int, int>;
  vector<vector<pair<int, int>>> by_p(N + 1);

  auto solve_sub = [&](const C& l, const C& r) {
    vector<T> res;
    int n = l.size(), m = r.size();
    C s = l, t = r;
    t.insert(end(t), begin(l), end(l));
    t.insert(end(t), begin(r), end(r));
    reverse(begin(s), end(s));
    auto ZS = z_algorithm(s), ZT = z_algorithm(t);
    for (int p = 1; p <= n; p++) {
      int a = p == n ? p : min(ZS[p] + p, n);
      int b = min(ZT[n + m - p], m);
      if (a + b < 2 * p) continue;
      res.emplace_back(p, a, b);
    }
    return res;
  };

  auto dfs = [&](auto rc, int L, int R) -> void {
    if (R - L <= 1) return;
    int M = (L + R) / 2;
    rc(rc, L, M), rc(rc, M, R);
    C SL{begin(S) + L, begin(S) + M};
    C SR{begin(S) + M, begin(S) + R};
    auto sub_res1 = solve_sub(SL, SR);
    for (auto& [p, a, b] : sub_res1) by_p[p].emplace_back(M - a, M + b);
    reverse(begin(SL), end(SL));
    reverse(begin(SR), end(SR));
    auto sub_res2 = solve_sub(SR, SL);
    for (auto& [p, a, b] : sub_res2) by_p[p].emplace_back(M - b, M + a);
  };
  dfs(dfs, 0, N);

  vector<T> res;
  set<pair<int, int>> done;
  for (int p = 0; p <= N; p++) {
    auto& LR = by_p[p];
    sort(begin(LR), end(LR), [](auto& x, auto& y) {
      if (x.first == y.first) return x.second > y.second;
      return x.first < y.first;
    });
    int r = -1;
    for (auto& lr : LR) {
      if (r >= lr.second) continue;
      r = lr.second;
      if (!done.count(lr)) {
        done.insert(lr);
        res.emplace_back(p, lr.first, lr.second);
      }
    }
  }
  return res;
}




using namespace Nyaan;

int min_period(string S) {
  int N = sz(S);
  vi z = z_algorithm(S);
  rep1(i, N - 1) {
    if (N % i != 0) continue;
    if (z[i] == N - i) return i;
  }
  return N;
}
int num_len(int x) { return to_string(x).size(); }

string naive(string S) {
  int N = sz(S);
  vector<int> dp(N + 1, inf);
  vector<int> prev(N + 1, -1);
  dp[0] = 0;
  rep(i, N) reg(j, i + 1, N + 1) {
    int p = min_period(S.substr(i, j - i));
    int val = dp[i] + p + num_len((j - i) / p);
    if (amin(dp[j], val)) prev[j] = i;
  }
  string ans;
  for (int j = N; j != 0;) {
    int i = prev[j];
    int p = min_period(S.substr(i, j - i));
    string cur = S.substr(i, p) + to_string((j - i) / p);
    reverse(all(cur));
    ans += cur;
    j = i;
  }
  reverse(all(ans));
  assert(sz(ans) == dp[N]);
  return ans;
}

string uso(string S) {
  int N = sz(S);
  auto run = run_enumerate(S);

  VV<pi> rundata(N + 1);
  auto ketasuu = [&](int i) {
    if (i < 10) return 1;
    if (i < 100) return 2;
    if (i < 1000) return 3;
    if (i < 10000) return 4;
    if (i < 100000) return 5;
    if (i < 1000000) return 6;
    if (i < 10000000) return 7;
    return 8;
  };

  constexpr int B = 300;

  for (auto &[p, l, r] : run) {
    rep(i, p) {
      if (l + i + 2 * p <= r) {
        // [l+i, s) が p の倍数であるような最大の s<=r
        int s = l + i + (r - (l + i)) / p * p;
        int len = min<int>(B, (r - (l + i)) / p + 2);
        rep(x, len) {
          int j = l + i + x * p;
          if (j < s) {
            rundata[j].emplace_back(s, p);
          } else {
            break;
          }
        }
      } else {
        break;
      }
    }
  }

  vector<int> dp(N + 1, inf);
  vector<int> prev(N + 1, -1);
  dp[0] = 0;

  auto trans = [&](int l, int r, int p) -> void {
    if (l >= r) return;
    assert((r - l) % p == 0);
    int x = p + ketasuu((r - l) / p);
    if (amin(dp[r], dp[l] + x)) prev[r] = l;
  };
  // dp[i] - i を保持する
  int prev_best = inf, prev_pos = -1;

  rep(i, N + 1) {
    // dp[j] (j<i) からの遷移
    if (amin(dp[i], prev_best + i + 1)) prev[i] = prev_pos;

    // dp[i] の値, 決定
    if (amin(prev_best, dp[i] - i)) prev_pos = i;
    each2(s, p, rundata[i]) {
      rep(k, B) {
        int j = s - p * k;
        if (i >= j) break;
        trans(i, j, p);
      }
    }
  }

  string ans;
  for (int j = N; j != 0;) {
    int i = prev[j];
    int p = min_period(S.substr(i, j - i));
    string cur = S.substr(i, p) + to_string((j - i) / p);
    reverse(all(cur));
    ans += cur;
    j = i;
  }
  reverse(all(ans));
  assert(sz(ans) == dp[N]);
  return ans;
}

string restore(string T, int limit) {
  string res;
  for (int i = 0; i < (int)T.size();) {
    int j = i;
    while (j < (int)T.size() and 'a' <= T[j] and T[j] <= 'z') j++;
    int k = j;
    while (k < (int)T.size() and '0' <= T[k] and T[k] <= '9') k++;
    if (i == j or j == k) return {};
    if (k - j > 15) return {};
    string sub = T.substr(i, j - i);
    int num = stoll(T.substr(j, k - j));
    while (num--) {
      res += sub;
      if ((int)res.size() > limit) return res;
    }
    i = k;
  }
  return res;
}

void check(string S) {
  auto an = naive(S);
  auto ac = uso(S);
  assert(restore(an, sz(S)) == S);
  assert(restore(ac, sz(S)) == S);
  if (sz(an) != sz(ac)) {
    trc2(S, an, ac);
    exit(1);
  }
}

void q() {
#ifdef NyaanLocal
  check("aaaaaaaaaa");
  check("baaaaaaaaa");
  check("aabababc");
  check("aaaaaaaaaa");
  rep1(len, 11) {
    rep(b, Power(3, len)) {
      string S;
      for (int x = b; sz(S) < len; x /= 3) S.push_back(x % 3 + 'a');
      check(S);
    }
  }
  rep1(len, 18) {
    rep(b, PW(len)) {
      string S;
      rep(i, len) S.push_back('a' + gbit(b, i));
      check(S);
    }
  }
  trc2("OK");
#endif

  ins(S);
  auto ans = uso(S);
  assert(restore(ans, sz(S)) == S);
  out(ans);
}

void Nyaan::solve() {
  int t = 1;
  in(t);
  while (t--) q();
}
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