#841320 (C++17) No.2221 Set X

提出ソース
結果

問題	No.2221 Set X
コンテスト
ユーザー	NyaanNyaan
提出日時	2023-02-17 22:59:20
言語	C++17 (gcc 13.3.0 + boost 1.87.0)
結果	WA
実行時間	-
コード長	16,413 bytes
コンパイル時間	2,432 ms
コンパイル使用メモリ	263,300 KB
最終ジャッジ日時	2025-02-10 17:54:33
ジャッジサーバーID （参考情報）	judge2 / judge2
このコードへのチャレンジ
（要ログイン）
ファイルパターン	結果
sample	AC * 3
other	AC * 39 WA * 1
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

raw source code
/**
 *  date : 2023-02-17 22:59:16
 */

#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(); }

//

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 = a.back() + 2, bns = a.back() + 1;

  Timer timer;

  auto test = [&](int q) {
    int c = 0;
    for (int i = 0; i < N;) {
      if (c * (q + 1) > ans) break;
      int r = 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);

  {
    vector<int> v(N);
    auto test2 = [&](int q, int, int) {
      if (timer.elapsed() > 1900) return;
      rep(i, N) v[i] = 1.0 * a[i] / q;
      radix_sort(v);
      int c = 0;
      for (int i = 0, j = 0; i < N; i = j) {
        while (j != N and v[i] == v[j]) j++;
        c++;
      }
      if (amin(ans, c * (q + 1))) bns = q;
    };
    enumerate_quotient<int>(Max(a) + 1, test2);
    if (Max(a)) enumerate_quotient<int>(Max(a), test2);
  }
  out(bns);
  out(ans);
}

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

結果

ソースコード
