結果

問題 No.1467 Selling Cars
コンテスト
ユーザー NyaanNyaan
提出日時 2021-07-23 21:03:57
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,483 ms / 4,000 ms
コード長 15,294 bytes
コンパイル時間 2,687 ms
コンパイル使用メモリ 275,024 KB
最終ジャッジ日時 2025-01-23 07:43:10
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 31
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 : 2021-07-23 21:03:52
 */

#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;

  T &x() { return first; }
  const T &x() const { return first; }
  U &y() { return second; }
  const U &y() const { return 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;
  }
  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; }
};

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;
}

}  // 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;
}

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
namespace DebugImpl {

template <typename U, typename = void>
struct is_specialize : false_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, typename U::iterator, void>::type>
    : true_type {};
template <typename U>
struct is_specialize<
    U, typename conditional<false, decltype(U::first), void>::type>
    : true_type {};
template <typename U>
struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {
};

void dump(const char& t) { cerr << t; }

void dump(const string& t) { cerr << t; }

void dump(const bool& t) { cerr << (t ? "true" : "false"); }

template <typename U,
          enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>
void dump(const U& t) {
  cerr << t;
}

template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
  string res;
  if (t == Nyaan::inf) res = "inf";
  if constexpr (is_signed<T>::value) {
    if (t == -Nyaan::inf) res = "-inf";
  }
  if constexpr (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if constexpr (is_signed<T>::value) {
      if (t == -Nyaan::infLL) res = "-inf";
    }
  }
  if (res.empty()) res = to_string(t);
  cerr << res;
}

template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);

template <typename T>
void dump(const T& t,
          enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
  cerr << "[ ";
  for (auto it = t.begin(); it != t.end();) {
    dump(*it);
    cerr << (++it == t.end() ? "" : ", ");
  }
  cerr << " ]";
}

template <typename T, typename U>
void dump(const pair<T, U>& t) {
  cerr << "( ";
  dump(t.first);
  cerr << ", ";
  dump(t.second);
  cerr << " )";
}

template <typename T>
void dump(const pair<T*, int>& t) {
  cerr << "[ ";
  for (int i = 0; i < t.second; i++) {
    dump(t.first[i]);
    cerr << (i == t.second - 1 ? "" : ", ");
  }
  cerr << " ]";
}

void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
  cerr << " ";
  dump(head);
  if (sizeof...(tail) != 0) cerr << ",";
  trace(forward<Tail>(tail)...);
}

}  // namespace DebugImpl

#ifdef NyaanDebug
#define trc(...)                            \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc(...) (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(); }

//
struct SlopeTrick {
 private:
  using ll = long long;
  // x : 座標, c : 傾きの変化量
  struct P {
    ll x, c;
    P(ll _x, ll _c) : x(_x), c(_c) {}
    friend bool operator<(const P& a, const P& b) { return a.x < b.x; }
    friend bool operator>(const P& a, const P& b) { return a.x > b.x; }
  };
  ll addL, addR, min_y;
  priority_queue<P> L;
  priority_queue<P, vector<P>, greater<>> R;
  void pushL(ll x, ll c = 1) { L.emplace(x - addL, c); }
  void pushR(ll x, ll c = 1) { R.emplace(x - addR, c); }
  P getL() { return P{L.top().x + addL, L.top().c}; }
  P getR() { return P{R.top().x + addR, R.top().c}; }
  void popL() { L.pop(); }
  void popR() { R.pop(); }

 public:
  SlopeTrick() : addL(0), addR(0), min_y(0) {}

  void debug() {
    cerr << "addL, addR, min_y : ";
    cerr << addL << ", " << addR << ", " << min_y << endl;

    auto LL{L};
    cerr << "L : ";
    while (!LL.empty()) {
      cerr << "( " << LL.top().x + addL << ", " << LL.top().c << " ), ";
      LL.pop();
    }
    cerr << endl;

    auto RR{R};
    cerr << "R : ";
    while (!RR.empty()) {
      cerr << "( " << RR.top().x + addR << ", " << RR.top().c << " ), ";
      RR.pop();
    }
    cerr << endl;

    cerr << "min : ";
    cerr << "( " << get_min().first << ", " << get_min().second << " )" << endl;
  }

  // return {x, y} s.t. {argmin, min}
  pair<ll, ll> get_min() {
    ll x = L.empty() ? R.empty() ? 0 : getR().x : getL().x;
    return {x, min_y};
  }

  void shift_L(ll a) { addL += a; }
  void shift_R(ll a) { addR += a; }
  // f(x) <- f(x - a)
  void shift_x(ll a) { addL += a, addR += a; }
  // f(x) <- f(x) + a
  void shift_y(ll a) { min_y += a; }

  // add (x-a)_+   _____/
  void add_xma(ll a, ll c = 1) {
    ll used = 0;
    while (used < c && !L.empty()) {
      auto [X, C] = getL();
      if (X <= a) break;
      popL();
      ll tmp = min(c - used, C);
      pushR(X, tmp);
      if (C != tmp) pushL(X, C - tmp);
      min_y += (X - a) * tmp;
      used += tmp;
    }
    if (used) pushL(a, used);
    if (c - used) pushR(a, c - used);
  }

  // add (a-x)_+   \_____
  void add_amx(ll a, ll c = 1) {
    ll used = 0;
    while (used < c && !R.empty()) {
      auto [X, C] = getR();
      if (X >= a) break;
      popR();
      ll tmp = min(c - used, C);
      pushL(X, tmp);
      if (C != tmp) pushR(X, C - tmp);
      min_y += (a - X) * tmp;
      used += tmp;
    }
    if (used) pushR(a, used);
    if (c - used) pushL(a, c - used);
  }

  // add |x-a|     \____/
  void add_abs_xma(ll a, ll c = 1) { add_xma(a, c), add_amx(a, c); }

  //  chmin right side \_/ -> \__
  void chmin_right() { decltype(R){}.swap(R); }
  //  chmin left side  \_/ -> __/
  void chmin_left() { decltype(L){}.swap(L); }

  // destructive merge
  void merge(SlopeTrick& r) {
    if (L.size() + R.size() < r.L.size() + r.R.size()) swap(*this, r);
    while (!r.L.empty()) {
      auto [x, c] = r.getL();
      r.popL();
      add_amx(x, c);
    }
    while (!r.R.empty()) {
      auto [x, c] = r.getR();
      r.popR();
      add_xma(x, c);
    }
    shift_y(r.min_y);
  }

  // eval f(x) O(|L| + |R|)
  ll eval(ll x) {
    ll y = min_y;
    auto LL{L};
    while (!LL.empty()) {
      auto [X, C] = LL.top();
      if ((X += addL) <= x) break;
      y += (X - x) * C;
    }
    auto RR{R};
    while (!RR.empty()) {
      auto [X, C] = RR.top();
      if ((X += addR) >= x) break;
      y += (x - X) * C;
    }
    return y;
  }
};

using namespace Nyaan;

// https://atcoder.jp/contests/abc127/tasks/abc127_f
void ABC127F() {
  ini(Q);
  SlopeTrick st;
  rep(i, Q) {
    ini(c);
    if (c == 1) {
      inl(a, b);
      st.add_abs_xma(a);
      st.shift_y(b);
    } else {
      out(st.get_min());
    }
    // st.debug();
  }
}

// https://atcoder.jp/contests/dwango2016-prelims/tasks/dwango2016qual_e
void dwacon2016qual_E() {
  ini(N, L);
  vvi ls(TEN(5) + 10);
  rep(i, N) {
    ini(t, l);
    ls[t].push_back(l);
  }

  SlopeTrick st;
  rep(i, sz(ls)) {
    if (ls.empty()) continue;
    st.chmin_right();
    each(x, ls[i]) st.add_abs_xma(x);
  }

  out(st.get_min().second);
}

// https://atcoder.jp/contests/utpc2012/tasks/utpc2012_12
void utpc2012_L() {
  ini(N, C0);
  vl C(N);
  C[0] = C0;
  vvi g(N);
  rep1(i, N - 1) {
    ini(p, c);
    --p;
    g[p].push_back(i);
    C[i] = c;
  }
  auto dfs = [&](auto rc, int c) -> SlopeTrick {
    SlopeTrick st;
    each(d, g[c]) {
      SlopeTrick stc = rc(rc, d);
      stc.shift_x(1);
      st.merge(stc);
    }
    st.add_abs_xma(C[c]);
    st.chmin_right();
    return move(st);
  };
  out(dfs(dfs, 0).get_min().second);
}

void yuki1467() {
  ini(M, N);
  vl A(M), B(N);
  in(A, B);

  vl zip{A};
  each(x, B) zip.push_back(x);
  zip = mkuni(zip);

  vl as(sz(zip)), bs(sz(zip));
  each(x, A) as[lb(zip, x)]++;
  each(x, B) bs[lb(zip, x)]++;
  rep1(k, M) {
    SlopeTrick st;
    st.add_amx(0, TEN(10));
    rep(i, sz(zip)) {
      st.shift_x(as[i] - bs[i] * k);
      st.chmin_right();
      if (i != sz(zip) - 1) {
        st.add_abs_xma(0, zip[i + 1] - zip[i]);
      } else {
        st.add_xma(0, 1e10);
      }
    }
    out(st.get_min().second);
  }
}

void Nyaan::solve() {
  // ABC127F();
  // dwacon2016qual_E();
  // utpc2012_L();
  yuki1467();
}
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