結果

問題 No.3000 Optimal Run Length Encoding
ユーザー NyaanNyaanNyaanNyaan
提出日時 2024-12-13 16:06:52
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 6,003 ms / 10,000 ms
コード長 18,447 bytes
コンパイル時間 4,933 ms
コンパイル使用メモリ 297,104 KB
実行使用メモリ 368,948 KB
最終ジャッジ日時 2024-12-25 19:48:31
合計ジャッジ時間 220,371 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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 3 ms
5,248 KB
testcase_01 AC 290 ms
5,248 KB
testcase_02 AC 303 ms
5,248 KB
testcase_03 AC 270 ms
5,248 KB
testcase_04 AC 281 ms
5,248 KB
testcase_05 AC 239 ms
5,248 KB
testcase_06 AC 244 ms
5,248 KB
testcase_07 AC 276 ms
5,248 KB
testcase_08 AC 265 ms
5,248 KB
testcase_09 AC 242 ms
5,248 KB
testcase_10 AC 229 ms
5,248 KB
testcase_11 AC 257 ms
5,248 KB
testcase_12 AC 267 ms
5,248 KB
testcase_13 AC 259 ms
5,248 KB
testcase_14 AC 230 ms
5,248 KB
testcase_15 AC 232 ms
5,248 KB
testcase_16 AC 250 ms
5,248 KB
testcase_17 AC 215 ms
5,248 KB
testcase_18 AC 158 ms
5,248 KB
testcase_19 AC 453 ms
5,248 KB
testcase_20 AC 457 ms
5,248 KB
testcase_21 AC 455 ms
5,248 KB
testcase_22 AC 458 ms
5,248 KB
testcase_23 AC 456 ms
5,248 KB
testcase_24 AC 462 ms
5,248 KB
testcase_25 AC 462 ms
5,248 KB
testcase_26 AC 462 ms
5,248 KB
testcase_27 AC 405 ms
5,248 KB
testcase_28 AC 443 ms
5,248 KB
testcase_29 AC 473 ms
5,248 KB
testcase_30 AC 529 ms
5,248 KB
testcase_31 AC 556 ms
5,248 KB
testcase_32 AC 598 ms
5,248 KB
testcase_33 AC 646 ms
5,248 KB
testcase_34 AC 771 ms
15,232 KB
testcase_35 AC 383 ms
34,752 KB
testcase_36 AC 395 ms
34,240 KB
testcase_37 AC 397 ms
34,624 KB
testcase_38 AC 392 ms
34,504 KB
testcase_39 AC 394 ms
34,636 KB
testcase_40 AC 388 ms
34,496 KB
testcase_41 AC 382 ms
34,764 KB
testcase_42 AC 386 ms
34,616 KB
testcase_43 AC 403 ms
34,376 KB
testcase_44 AC 388 ms
34,368 KB
testcase_45 AC 6,003 ms
368,820 KB
testcase_46 AC 4,899 ms
331,692 KB
testcase_47 AC 5,288 ms
354,244 KB
testcase_48 AC 4,824 ms
337,992 KB
testcase_49 AC 5,095 ms
346,908 KB
testcase_50 AC 4,984 ms
343,764 KB
testcase_51 AC 5,304 ms
351,036 KB
testcase_52 AC 5,108 ms
353,496 KB
testcase_53 AC 5,163 ms
351,040 KB
testcase_54 AC 4,942 ms
328,824 KB
testcase_55 AC 5,698 ms
368,948 KB
testcase_56 AC 5,205 ms
351,488 KB
testcase_57 AC 5,030 ms
342,964 KB
testcase_58 AC 4,659 ms
335,124 KB
testcase_59 AC 5,215 ms
354,856 KB
testcase_60 AC 5,680 ms
368,944 KB
testcase_61 AC 5,594 ms
363,500 KB
testcase_62 AC 4,813 ms
342,936 KB
testcase_63 AC 5,054 ms
355,192 KB
testcase_64 AC 4,672 ms
331,340 KB
testcase_65 AC 923 ms
69,800 KB
testcase_66 AC 505 ms
43,024 KB
testcase_67 AC 936 ms
62,352 KB
testcase_68 AC 470 ms
41,752 KB
testcase_69 AC 1,070 ms
77,592 KB
testcase_70 AC 1,650 ms
110,924 KB
testcase_71 AC 448 ms
38,724 KB
testcase_72 AC 1,064 ms
91,868 KB
testcase_73 AC 559 ms
76,152 KB
testcase_74 AC 1,223 ms
95,296 KB
testcase_75 AC 599 ms
77,508 KB
testcase_76 AC 1,135 ms
96,480 KB
testcase_77 AC 470 ms
66,356 KB
testcase_78 AC 987 ms
89,180 KB
testcase_79 AC 497 ms
66,912 KB
testcase_80 AC 880 ms
84,600 KB
testcase_81 AC 83 ms
5,248 KB
testcase_82 AC 1,333 ms
89,204 KB
testcase_83 AC 1,330 ms
90,024 KB
testcase_84 AC 1,325 ms
89,836 KB
testcase_85 AC 1,277 ms
86,656 KB
testcase_86 AC 1,259 ms
83,992 KB
testcase_87 AC 1,355 ms
93,256 KB
testcase_88 AC 1,278 ms
86,744 KB
testcase_89 AC 1,347 ms
93,132 KB
testcase_90 AC 1,249 ms
85,600 KB
testcase_91 AC 1,269 ms
83,032 KB
testcase_92 AC 1,290 ms
87,796 KB
testcase_93 AC 1,328 ms
87,704 KB
testcase_94 AC 1,341 ms
89,616 KB
testcase_95 AC 1,304 ms
88,984 KB
testcase_96 AC 1,317 ms
88,592 KB
testcase_97 AC 452 ms
36,760 KB
testcase_98 AC 388 ms
36,500 KB
testcase_99 AC 343 ms
32,208 KB
testcase_100 AC 430 ms
33,728 KB
testcase_101 AC 459 ms
39,448 KB
testcase_102 AC 622 ms
59,436 KB
testcase_103 AC 650 ms
59,396 KB
testcase_104 AC 722 ms
66,656 KB
testcase_105 AC 625 ms
64,012 KB
testcase_106 AC 743 ms
64,444 KB
testcase_107 AC 628 ms
62,444 KB
testcase_108 AC 663 ms
65,320 KB
testcase_109 AC 594 ms
58,792 KB
testcase_110 AC 648 ms
65,260 KB
testcase_111 AC 798 ms
71,572 KB
testcase_112 AC 1,045 ms
61,408 KB
testcase_113 AC 1,047 ms
61,512 KB
testcase_114 AC 1,023 ms
61,504 KB
testcase_115 AC 1,022 ms
61,616 KB
testcase_116 AC 1,019 ms
61,836 KB
testcase_117 AC 1,020 ms
61,760 KB
testcase_118 AC 1,034 ms
61,540 KB
testcase_119 AC 1,011 ms
61,708 KB
testcase_120 AC 1,024 ms
61,668 KB
testcase_121 AC 1,085 ms
61,732 KB
testcase_122 AC 1,039 ms
61,724 KB
testcase_123 AC 1,057 ms
61,720 KB
testcase_124 AC 999 ms
61,700 KB
testcase_125 AC 1,042 ms
60,960 KB
testcase_126 AC 1,053 ms
60,700 KB
testcase_127 AC 1,020 ms
61,800 KB
testcase_128 AC 1,014 ms
61,076 KB
testcase_129 AC 1,043 ms
60,824 KB
testcase_130 AC 1,028 ms
61,500 KB
testcase_131 AC 1,199 ms
60,796 KB
testcase_132 AC 1,490 ms
90,720 KB
testcase_133 AC 1,518 ms
110,028 KB
testcase_134 AC 1,508 ms
104,008 KB
testcase_135 AC 1,489 ms
95,332 KB
testcase_136 AC 1,462 ms
90,840 KB
testcase_137 AC 1,471 ms
88,100 KB
testcase_138 AC 1,419 ms
86,328 KB
testcase_139 AC 1,417 ms
84,432 KB
testcase_140 AC 1,404 ms
88,428 KB
testcase_141 AC 1,368 ms
85,532 KB
testcase_142 AC 1,322 ms
76,648 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   : 2024-12-12 23:46:05
 * author : Nyaan
 */

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))
#endif
#ifndef NyaanDebug
#define trc(...) (void(0))
#endif

#ifndef NyaanLocal
#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;

constexpr int INF = 1001001001;

template <typename T>
struct SWAG {
  vector<T> a0, a1, r0, r1;
  T f0, f1;

  T f(const T &a, const T &b) { return a.first < b.first ? a : b; }
  static constexpr T I{INF, -1};

  SWAG() : f0(I), f1(I) {}

 private:
  void push_s0(const T &x) {
    a0.push_back(x);
    r0.push_back(f0 = f(x, f0));
  }
  void push_s1(const T &x) {
    a1.push_back(x);
    r1.push_back(f1 = f(f1, x));
  }
  void transfer() {
    while (!a1.empty()) {
      push_s0(a1.back());
      a1.pop_back();
    }
    while (!r1.empty()) r1.pop_back();
    f1 = I;
  }

 public:
  void push(const T &x) {
    if (a0.empty()) {
      push_s0(x);
      transfer();
    } else {
      push_s1(x);
    }
  }
  T pop() {
    if (a0.empty()) transfer();
    T res = a0.back();
    a0.pop_back();
    r0.pop_back();
    f0 = r0.empty() ? I : r0.back();
    return res;
  }
  T query() { return f(f0, f1); }
  int size() { return a0.size() + a1.size(); }
};

struct Data {
  vector<SWAG<pair<int, int>>> dat;
  static constexpr int size_table[9] = {
      9, 90, 900, 9000, 90000, 900000, 9000000, 90000000, 900000000,
  };
  Data() { dat.push_back({}); }

  void push(int val, int pos) {
    dat[0].push({val, pos});
    for (int i = 0; i < (int)dat.size(); i++) {
      if ((int)dat[i].size() <= size_table[i]) break;
      if (i + 1 == (int)dat.size()) dat.push_back({});
      dat[i + 1].push(dat[i].pop());
    }
  }

  pair<int, int> query() {
    int res = INF, pos = -1;
    for (int i = 0; i < (int)dat.size(); i++) {
      auto [val, idx] = dat[i].query();
      val += i + 1;
      if (val < res) res = val, pos = idx;
    }
    return {res, pos};
  }
};

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

  VV<pi> rundata(N + 1);
  for (auto &[p, l, r] : run) {
    rep(i, p) if (l + i + 2 * p <= r) rundata[l + i + 2 * p].emplace_back(r, p);
  }
  vector<int> dp(N + 1, inf);
  vector<int> prev(N + 1, -1);
  dp[0] = 0;
  // dp[i] - i を保持する
  int prev_best = inf, prev_pos = -1;

  struct Data2 {
    int p, r;
    Data dat;
  };
  VV<Data2> datas(N + 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;
    // 新規 run の追加
    for (auto &[r, p] : rundata[i]) {
      Data2 dat;
      dat.r = r, dat.p = p;
      dat.dat.push(dp[i - 2 * p], i - 2 * p);
      dat.dat.push(dp[i - 1 * p], i - 1 * p);
      datas[i].push_back(dat);
    }
    // run からの遷移
    each(dat, datas[i]) {
      auto [val, pos] = dat.dat.query();
      // trc(i, dat.p, val, pos);
      if (amin(dp[i], val + dat.p)) prev[i] = pos;
    }
    // dp[i] の値, 決定

    // segtree の更新
    if (amin(prev_best, dp[i] - i)) prev_pos = i;
    // run の更新
    each(dat, datas[i]) {
      if (i + dat.p <= dat.r) {
        dat.dat.push(dp[i], i);
        int nxt = i + dat.p;
        datas[nxt].push_back(std::move(dat));
      } else {
        Data2 d = std::move(dat);
      }
    }
  }

  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 = calc(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() {
  /*
  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);
    }
    trc2(len, "OK");
  }
  rep1(len, 18) {
    rep(b, PW(len)) {
      string S;
      rep(i, len) S.push_back('a' + gbit(b, i));
      check(S);
    }
    trc2(len, "OK");
  }
  */

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

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