#841311 (C++17) No.2221 Set X

提出ソース

結果

問題	No.2221 Set X
ユーザー	NyaanNyaan
提出日時	2023-02-17 22:56:36
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	24,183 bytes
コンパイル時間	2,324 ms
コンパイル使用メモリ	254,160 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-07-19 14:08:38
合計ジャッジ時間	5,587 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	WA	-
testcase_05	AC	2 ms 5,376 KB
testcase_06	WA	-
testcase_07	AC	2 ms 5,376 KB
testcase_08	WA	-
testcase_09	WA	-
testcase_10	WA	-
testcase_11	WA	-
testcase_12	WA	-
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	2 ms 5,376 KB
testcase_16	WA	-
testcase_17	WA	-
testcase_18	WA	-
testcase_19	WA	-
testcase_20	WA	-
testcase_21	AC	47 ms 5,376 KB
testcase_22	AC	66 ms 5,376 KB
testcase_23	AC	5 ms 5,376 KB
testcase_24	AC	45 ms 5,376 KB
testcase_25	AC	27 ms 5,376 KB
testcase_26	AC	116 ms 5,376 KB
testcase_27	AC	133 ms 5,376 KB
testcase_28	AC	135 ms 5,376 KB
testcase_29	AC	89 ms 5,376 KB
testcase_30	AC	105 ms 5,376 KB
testcase_31	AC	125 ms 5,376 KB
testcase_32	AC	77 ms 5,376 KB
testcase_33	AC	84 ms 5,376 KB
testcase_34	AC	78 ms 5,376 KB
testcase_35	AC	73 ms 5,376 KB
testcase_36	AC	93 ms 5,376 KB
testcase_37	AC	98 ms 5,376 KB
testcase_38	AC	90 ms 5,376 KB
testcase_39	AC	108 ms 5,376 KB
testcase_40	AC	121 ms 5,376 KB
testcase_41	AC	104 ms 5,376 KB
testcase_42	AC	108 ms 5,376 KB

権限があれば一括ダウンロードができます

コンパイルメッセージ

main.cpp:422:7: warning: 'template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator' is deprecated [-Wdeprecated-declarations]
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:65,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/algorithm:60,
                 from main.cpp:11:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_iterator_base_types.h:127:34: note: declared here
  127 |     struct _GLIBCXX17_DEPRECATED iterator
      |                                  ^~~~~~~~
main.cpp:424:7: warning: 'template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator' is deprecated [-Wdeprecated-declarations]
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_iterator_base_types.h:127:34: note: declared here
  127 |     struct _GLIBCXX17_DEPRECATED iterator
      |                                  ^~~~~~~~

ソースコード

raw source code

/**
 *  date : 2023-02-17 22:56:30
 */

#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 <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, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  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(vector<T> &v) {
  return next_permutation(begin(v), end(v));
}

template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

}  // namespace Nyaan

// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return _mm_popcnt_u64(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...);
}

void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &...u) {
  cout << t;
  outr(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(); }

//


namespace HashMapImpl {
using u32 = uint32_t;
using u64 = uint64_t;

template <typename Key, typename Data>
struct HashMapBase;

template <typename Key, typename Data>
struct itrB
    : iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> {
  using base =
      iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>;
  using ptr = typename base::pointer;
  using ref = typename base::reference;

  u32 i;
  HashMapBase<Key, Data>* p;

  explicit constexpr itrB() : i(0), p(nullptr) {}
  explicit constexpr itrB(u32 _i, HashMapBase<Key, Data>* _p) : i(_i), p(_p) {}
  explicit constexpr itrB(u32 _i, const HashMapBase<Key, Data>* _p)
      : i(_i), p(const_cast<HashMapBase<Key, Data>*>(_p)) {}
  friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); }
  friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; }
  friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; }
  const ref operator*() const {
    return const_cast<const HashMapBase<Key, Data>*>(p)->data[i];
  }
  ref operator*() { return p->data[i]; }
  ptr operator->() const { return &(p->data[i]); }

  itrB& operator++() {
    assert(i != p->cap && "itr::operator++()");
    do {
      i++;
      if (i == p->cap) break;
      if (p->occupied_flag[i] && !p->deleted_flag[i]) break;
    } while (true);
    return (*this);
  }
  itrB operator++(int) {
    itrB it(*this);
    ++(*this);
    return it;
  }
  itrB& operator--() {
    do {
      i--;
      if (p->occupied_flag[i] && !p->deleted_flag[i]) break;
      assert(i != 0 && "itr::operator--()");
    } while (true);
    return (*this);
  }
  itrB operator--(int) {
    itrB it(*this);
    --(*this);
    return it;
  }
};

template <typename Key, typename Data>
struct HashMapBase {
  using u32 = uint32_t;
  using u64 = uint64_t;
  using iterator = itrB<Key, Data>;
  using itr = iterator;

 protected:
  template <typename K>
  inline u64 randomized(const K& key) const {
    return u64(key) ^ r;
  }

  template <typename K,
            enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
            enable_if_t<is_integral<K>::value, nullptr_t> = nullptr>
  inline u32 inner_hash(const K& key) const {
    return (randomized(key) * 11995408973635179863ULL) >> shift;
  }
  template <
      typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
      enable_if_t<is_integral<decltype(K::first)>::value, nullptr_t> = nullptr,
      enable_if_t<is_integral<decltype(K::second)>::value, nullptr_t> = nullptr>
  inline u32 inner_hash(const K& key) const {
    u64 a = randomized(key.first), b = randomized(key.second);
    a *= 11995408973635179863ULL;
    b *= 10150724397891781847ULL;
    return (a + b) >> shift;
  }
  template <typename K,
            enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,
            enable_if_t<is_integral<typename K::value_type>::value, nullptr_t> =
                nullptr>
  inline u32 inner_hash(const K& key) const {
    static constexpr u64 mod = (1LL << 61) - 1;
    static constexpr u64 base = 950699498548472943ULL;
    u64 res = 0;
    for (auto& elem : key) {
      __uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod);
      res = (x & mod) + (x >> 61);
    }
    __uint128_t x = __uint128_t(res) * base;
    res = (x & mod) + (x >> 61);
    if (res >= mod) res -= mod;
    return res >> (shift - 3);
  }

  template <typename D = Data,
            enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>
  inline u32 hash(const D& dat) const {
    return inner_hash(dat);
  }
  template <
      typename D = Data,
      enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>
  inline u32 hash(const D& dat) const {
    return inner_hash(dat.first);
  }

  template <typename D = Data,
            enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>
  inline Key data_to_key(const D& dat) const {
    return dat;
  }
  template <
      typename D = Data,
      enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>
  inline Key data_to_key(const D& dat) const {
    return dat.first;
  }

  void reallocate(u32 ncap) {
    vector<Data> ndata(ncap);
    vector<bool> nf(ncap);
    shift = 64 - __lg(ncap);
    for (u32 i = 0; i < cap; i++) {
      if (occupied_flag[i] && !deleted_flag[i]) {
        u32 h = hash(data[i]);
        while (nf[h]) h = (h + 1) & (ncap - 1);
        ndata[h] = move(data[i]);
        nf[h] = true;
      }
    }
    data.swap(ndata);
    occupied_flag.swap(nf);
    cap = ncap;
    occupied = s;
    deleted_flag.resize(cap);
    fill(std::begin(deleted_flag), std::end(deleted_flag), false);
  }

  inline bool extend_rate(u32 x) const { return x * 2 >= cap; }

  inline bool shrink_rate(u32 x) const {
    return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap;
  }

  inline void extend() { reallocate(cap << 1); }

  inline void shrink() { reallocate(cap >> 1); }

 public:
  u32 cap, s, occupied;
  vector<Data> data;
  vector<bool> occupied_flag, deleted_flag;
  u32 shift;
  static u64 r;
  static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4;

  explicit HashMapBase()
      : cap(HASHMAP_DEFAULT_SIZE),
        s(0),
        occupied(0),
        data(cap),
        occupied_flag(cap),
        deleted_flag(cap),
        shift(64 - __lg(cap)) {}

  itr begin() const {
    u32 h = 0;
    while (h != cap) {
      if (occupied_flag[h] && !deleted_flag[h]) break;
      h++;
    }
    return itr(h, this);
  }
  itr end() const { return itr(this->cap, this); }

  friend itr begin(const HashMapBase& h) { return h.begin(); }
  friend itr end(const HashMapBase& h) { return h.end(); }

  itr find(const Key& key) const {
    u32 h = inner_hash(key);
    while (true) {
      if (occupied_flag[h] == false) return this->end();
      if (data_to_key(data[h]) == key) {
        if (deleted_flag[h] == true) return this->end();
        return itr(h, this);
      }
      h = (h + 1) & (cap - 1);
    }
  }

  bool contain(const Key& key) const { return find(key) != this->end(); }

  itr insert(const Data& d) {
    u32 h = hash(d);
    while (true) {
      if (occupied_flag[h] == false) {
        if (extend_rate(occupied + 1)) {
          extend();
          h = hash(d);
          continue;
        }
        data[h] = d;
        occupied_flag[h] = true;
        ++occupied, ++s;
        return itr(h, this);
      }
      if (data_to_key(data[h]) == data_to_key(d)) {
        if (deleted_flag[h] == true) {
          data[h] = d;
          deleted_flag[h] = false;
          ++s;
        }
        return itr(h, this);
      }
      h = (h + 1) & (cap - 1);
    }
  }

  // tips for speed up :
  // if return value is unnecessary, make argument_2 false.
  itr erase(itr it, bool get_next = true) {
    if (it == this->end()) return this->end();
    s--;
    if (!get_next) {
      this->deleted_flag[it.i] = true;
      if (shrink_rate(s)) shrink();
      return this->end();
    }
    itr nxt = it;
    nxt++;
    this->deleted_flag[it.i] = true;
    if (shrink_rate(s)) {
      Data d = data[nxt.i];
      shrink();
      it = find(data_to_key(d));
    }
    return nxt;
  }

  itr erase(const Key& key) { return erase(find(key)); }

  int count(const Key& key) { return find(key) == end() ? 0 : 1; }

  bool empty() const { return s == 0; }

  int size() const { return s; }

  void clear() {
    fill(std::begin(occupied_flag), std::end(occupied_flag), false);
    fill(std::begin(deleted_flag), std::end(deleted_flag), false);
    s = occupied = 0;
  }

  void reserve(int n) {
    if (n <= 0) return;
    n = 1 << min(23, __lg(n) + 2);
    if (cap < u32(n)) reallocate(n);
  }
};

template <typename Key, typename Data>
uint64_t HashMapBase<Key, Data>::r =
    chrono::duration_cast<chrono::nanoseconds>(
        chrono::high_resolution_clock::now().time_since_epoch())
        .count();

}  // namespace HashMapImpl

/**
 * @brief Hash Map(base)　(ハッシュマップ・基底クラス)
 */

template <typename Key>
struct HashSet : HashMapImpl::HashMapBase<Key, Key> {
  using HashMapImpl::HashMapBase<Key, Key>::HashMapBase;
};

/* 
 * @brief ハッシュセット(集合)
 * @docs docs/hashmap/hashset.md
**/


using namespace std;

namespace RadixSortImpl {
constexpr int b = 8;
constexpr int powb = 1 << b;
constexpr int mask = powb - 1;

int cnt0[powb];
int cnt1[powb];
int cnt2[powb];
int cnt3[powb];

template <typename T>
void radix_sort(int N, T* p) {
  static_assert(sizeof(T) == 4 or sizeof(T) == 8);
  if (!N) return;
  if (N <= 64) {
    sort(p, p + N);
    return;
  }
  static T* tmp = nullptr;
  static int tmp_size = 0;
  if (!tmp or tmp_size < N) {
    if (tmp) delete[] tmp;
    tmp_size = 1;
    while (tmp_size < N) tmp_size *= 2;
    tmp = new T[tmp_size];
  }

  memset(cnt0, 0, sizeof(cnt0));
  memset(cnt1, 0, sizeof(cnt1));
  memset(cnt2, 0, sizeof(cnt2));
  memset(cnt3, 0, sizeof(cnt3));
  for (int i = 0; i < N; i++) {
    cnt0[p[i] & mask]++;
    cnt1[(p[i] >> b) & mask]++;
    cnt2[(p[i] >> b * 2) & mask]++;
    cnt3[(p[i] >> b * 3) & mask]++;
  }
  for (int i = 0; i < powb - 1; i++) {
    cnt0[i + 1] += cnt0[i];
    cnt1[i + 1] += cnt1[i];
    cnt2[i + 1] += cnt2[i];
    cnt3[i + 1] += cnt3[i];
  }
  for (int i = N; i--;) tmp[--cnt0[p[i] & mask]] = p[i];
  for (int i = N; i--;) p[--cnt1[tmp[i] >> b & mask]] = tmp[i];
  for (int i = N; i--;) tmp[--cnt2[p[i] >> b * 2 & mask]] = p[i];
  for (int i = N; i--;) p[--cnt3[tmp[i] >> b * 3 & mask]] = tmp[i];

  if constexpr (sizeof(T) == 8) {
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[p[i] >> b * 4 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 4 & mask]] = p[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 5 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 5 & mask]] = tmp[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[p[i] >> b * 6 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 6 & mask]] = p[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 7 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 7 & mask]] = tmp[i];
  }
  if constexpr (is_signed<T>::value) {
    int i = N;
    while (i and p[i - 1] < 0) i--;
    rotate(p, p + i, p + N);
  }
}

// N 10^7 int :  90 ms
// N 10^7 ll  : 220 ms
template <typename T>
void radix_sort(vector<T>& v) {
  radix_sort(v.size(), v.data());
}

// first の順にソート, second は不問
template <typename T, typename U>
void radix_sort_compare_first(int N, pair<T, U>* p) {
  static_assert(sizeof(T) == 4 or sizeof(T) == 8);

  if (!N) return;
  if (N <= 64) {
    stable_sort(p, p + N, [](const pair<T, U>& s, const pair<T, U>& t) {
      return s.first < t.first;
    });
    return;
  }
  static pair<T, U>* tmp = nullptr;
  static int tmp_size = 0;
  if (!tmp or tmp_size < N) {
    if (tmp) delete[] tmp;
    tmp_size = 1;
    while (tmp_size < N) tmp_size *= 2;
    tmp = new pair<T, U>[tmp_size];
  }

  memset(cnt0, 0, sizeof(cnt0));
  for (int i = 0; i < N; i++) cnt0[p[i].first & mask]++;
  for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
  for (int i = N; i--;) tmp[--cnt0[p[i].first & mask]] = p[i];
  memset(cnt0, 0, sizeof(cnt0));
  for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b & mask]++;
  for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
  for (int i = N; i--;) p[--cnt0[tmp[i].first >> b & mask]] = tmp[i];
  memset(cnt0, 0, sizeof(cnt0));
  for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 2 & mask]++;
  for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
  for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 2 & mask]] = p[i];
  memset(cnt0, 0, sizeof(cnt0));
  for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 3 & mask]++;
  for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
  for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 3 & mask]] = tmp[i];

  if constexpr (sizeof(T) == 8) {
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 4 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 4 & mask]] = p[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 5 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 5 & mask]] = tmp[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 6 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 6 & mask]] = p[i];
    memset(cnt0, 0, sizeof(cnt0));
    for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 7 & mask]++;
    for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i];
    for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 7 & mask]] = tmp[i];
  }

  if constexpr (is_signed<T>::value) {
    int i = N;
    while (i and p[i - 1].first < 0) i--;
    rotate(p, p + i, p + N);
  }
}

// first の順にソート, second は不問
// N 10^7 int : 130 ms
// N 10^7 ll  : 370 ms
template <typename T, typename U>
void radix_sort_compare_first(vector<pair<T, U>>& v) {
  radix_sort_compare_first(v.size(), v.data());
}

}  // namespace RadixSortImpl

using RadixSortImpl::radix_sort;
using RadixSortImpl::radix_sort_compare_first;


long long fast_div(long long a, long long b) { return 1.0 * a / b; }

// { (q, l, r) : forall x in (l,r], floor(N/x) = q }
// を引数に取る関数f(q, l, r)を渡す。範囲が左に半開なのに注意
template <typename T, typename F>
void enumerate_quotient(T N, const F& f) {
  T sq = sqrt(N), upper = N, quo = 0;
  while (upper > sq) {
    T thres = fast_div(N, (++quo + 1));
    f(quo, thres, upper);
    upper = thres;
  }
  while (upper > 0) {
    f(fast_div(N, upper), upper - 1, upper);
    upper--;
  }
}

/**
 *  @brief 商の列挙
 */



struct Timer {
  chrono::high_resolution_clock::time_point st;

  Timer() { reset(); }

  void reset() { st = chrono::high_resolution_clock::now(); }

  chrono::milliseconds::rep elapsed() {
    auto ed = chrono::high_resolution_clock::now();
    return chrono::duration_cast<chrono::milliseconds>(ed - st).count();
  }
};
using namespace Nyaan;

void q() {
  inl(N);
  vi a(N);
  in(a);
  ll ans = inf, bns = -1;
  Timer timer;
  auto test = [&](int q) {
    if (timer.elapsed() > 1900) return;
    int c = 0;
    for (int i = 0; i < N;) {
      if (c * (q + 1) > ans) break;
      int r = 1.0 * a[i] / q;
      int j = lb(a, (r + 1) * q);
      i = j;
      c++;
      trc(q, i, r, c);
    }
    if (amin(ans, c * (q + 1))) bns = q;
  };
  rep1(q, N) test(q);
  out(bns);
  out(ans);
}

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

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