結果

問題 No.1944 ∞
ユーザー kkishikkishi
提出日時 2022-05-21 16:29:05
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 38 ms / 2,000 ms
コード長 12,394 bytes
コンパイル時間 3,375 ms
コンパイル使用メモリ 251,044 KB
実行使用メモリ 6,452 KB
最終ジャッジ日時 2023-10-20 16:21:03
合計ジャッジ時間 4,336 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
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
4,348 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 2 ms
4,348 KB
testcase_03 AC 2 ms
4,348 KB
testcase_04 AC 2 ms
4,348 KB
testcase_05 AC 2 ms
4,348 KB
testcase_06 AC 2 ms
4,348 KB
testcase_07 AC 2 ms
4,348 KB
testcase_08 AC 2 ms
4,348 KB
testcase_09 AC 1 ms
4,348 KB
testcase_10 AC 2 ms
4,348 KB
testcase_11 AC 1 ms
4,348 KB
testcase_12 AC 2 ms
4,348 KB
testcase_13 AC 2 ms
4,348 KB
testcase_14 AC 2 ms
4,348 KB
testcase_15 AC 38 ms
6,452 KB
testcase_16 AC 5 ms
4,348 KB
testcase_17 AC 3 ms
4,348 KB
testcase_18 AC 3 ms
4,348 KB
testcase_19 AC 2 ms
4,348 KB
testcase_20 AC 3 ms
4,348 KB
testcase_21 AC 3 ms
4,348 KB
testcase_22 AC 3 ms
4,348 KB
testcase_23 AC 2 ms
4,348 KB
testcase_24 AC 2 ms
4,348 KB
testcase_25 AC 4 ms
4,348 KB
testcase_26 AC 4 ms
4,348 KB
testcase_27 AC 4 ms
4,348 KB
testcase_28 AC 2 ms
4,348 KB
testcase_29 AC 2 ms
4,348 KB
testcase_30 AC 4 ms
4,348 KB
testcase_31 AC 3 ms
4,348 KB
testcase_32 AC 4 ms
4,348 KB
testcase_33 AC 31 ms
6,452 KB
testcase_34 AC 31 ms
6,452 KB
testcase_35 AC 31 ms
6,452 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 # 

#include <bits/stdc++.h>

#ifndef DASSERT_H_
#define DASSERT_H_

#if DEBUG
#define dassert(x) assert(x)
#else
#define dassert(x) ((void)0)
#endif

#endif  // DASSERT_H_

using Float = long double;

struct Point {
  Float x = 0, y = 0;
  Float Norm() const { return std::sqrt(x * x + y * y); }
  Point Conj() const { return {x, -y}; }
  Float Real() const { return x; }
  Float Imag() const { return y; }
  Float Arg() const { return std::atan2(Imag(), Real()); }
  Point& operator+=(const Point& p) {
    this->x += p.x;
    this->y += p.y;
    return *this;
  }
  Point operator+(const Point& p) const { return Point(*this) += p; }
  Point& operator-=(const Point& p) {
    this->x -= p.x;
    this->y -= p.y;
    return *this;
  }
  Point operator-(const Point& p) const { return Point(*this) -= p; }
  Point operator-() const { return {-x, -y}; }
  Point& operator*=(Float t) {
    this->x *= t;
    this->y *= t;
    return *this;
  }
  Point operator*(Float t) const { return Point(*this) *= t; }
  Point& operator*=(const Point& p) {
    Float r = x * p.x - y * p.y;
    Float i = x * p.y + y * p.x;
    this->x = r;
    this->y = i;
    return *this;
  }
  Point operator*(const Point& p) const { return Point(*this) *= p; }
  Point& operator/=(Float t) {
    this->x /= t;
    this->y /= t;
    return *this;
  }
  Point operator/(Float t) const { return Point(*this) /= t; }
  Point& operator/=(const Point& p) {
    Float q = p.x * p.x + p.y * p.y;
    dassert(q != 0);
    Float r = x * p.x + y * p.y;
    Float i = x * p.y - y * p.x;
    this->x = r;
    this->y = i;
    return *this;
  }
  Point operator/(const Point& p) const { return Point(*this) /= p; }
  bool operator<(const Point& p) const {
    if (x != p.x) {
      return x < p.x;
    }
    return y < p.y;
  }
  Point Rot90() const { return {-y, x}; }
  static Point Polar(Float r, Float theta) {
    return Point{cos(theta), sin(theta)} *= r;
  }
};

Float Cross(const Point& p, const Point& q) { return p.x * q.y - p.y * q.x; }

std::istream& operator>>(std::istream& is, Point& p) {
  is >> p.x >> p.y;
  return is;
}

std::ostream& operator<<(std::ostream& os, const Point& p) {
  os << "(" << p.x << "," << p.y << ")";
  return os;
}

struct LineSegment {
  Point p, q;
};

struct Line {
  Point p, q;
};

std::ostream& operator<<(std::ostream& os, const Line& l) {
  os << "(" << l.p << "," << l.q << ")";
  return os;
}

int Sign(Float x) {
  const Float eps = 1e-9L;
  if (x < -eps) return -1;
  if (x > eps) return 1;
  return 0;
}

bool Intersect(const LineSegment& s, const LineSegment& t) {
  return Sign(Cross(s.q - s.p, t.p - s.p) * Cross(s.q - s.p, t.q - s.p)) <= 0 &&
         Sign(Cross(t.q - t.p, s.p - t.p) * Cross(t.q - t.p, s.q - t.p)) <= 0;
}

bool Intersect(const Line& l, const Point& p) {
  return Sign(Cross(l.p - p, l.q - p)) == 0;
};

struct Circle {
  Point center;
  Float radius;

  std::vector<Point> Intersections(const Circle& c) const {
    // TODO: Handle cases where there is no intersection and there is only one
    // intersection.
    auto sq = [](Float x) -> Float { return x * x; };
    Point p = c.center - center;
    Float l = p.Norm();
    if (l >= radius + c.radius || (l + radius) <= c.radius ||
        (l + c.radius) <= radius) {
      return {};
    }
    Float x = (sq(radius) - sq(c.radius) + sq(l)) / (2 * l);
    Float a = std::sqrt(sq(radius) - sq(x));
    Point perpendicular_foot = p * (x / l);
    Point perpendicular = p.Rot90() * (a / l);
    return {center + perpendicular_foot + perpendicular,
            center + perpendicular_foot - perpendicular};
  }

  // TODO: Add Contains method that checks if a point is contained in the
  // circle. That function should use EPS on check to take into account the
  // computation error. Proabbly this library should also provide a commom EPS
  // value (or provide utility functions that uses EPS inside of it).
};

const Float pi = 3.141592653589793238462643383279502884L;

#ifndef CONSTANTS_H_
#define CONSTANTS_H_

// big = 2305843009213693951 = 2^61-1 ~= 2.3*10^18
const int64_t big = std::numeric_limits<int64_t>::max() / 4;

#endif  // CONSTANTS_H_
#ifndef DEBUG_H_
#define DEBUG_H_

#ifndef TYPE_TRAITS_H_
#define TYPE_TRAITS_H_

template <typename T, typename = void>
struct is_dereferenceable : std::false_type {};
template <typename T>
struct is_dereferenceable<T, std::void_t<decltype(*std::declval<T>())>>
    : std::true_type {};

template <typename T, typename = void>
struct is_iterable : std::false_type {};
template <typename T>
struct is_iterable<T, std::void_t<decltype(std::begin(std::declval<T>())),
                                  decltype(std::end(std::declval<T>()))>>
    : std::true_type {};

template <typename T, typename = void>
struct is_applicable : std::false_type {};
template <typename T>
struct is_applicable<T, std::void_t<decltype(std::tuple_size<T>::value)>>
    : std::true_type {};

#endif  // TYPE_TRAITS_H

template <typename T, typename... Ts>
void debug(std::ostream& os, const T& value, const Ts&... args);
template <typename T>
void debug(std::ostream& os, const T& v) {
  if constexpr (std::is_same<int64_t, std::decay_t<T>>::value) {
    if (v == big) {
      os << "big";
    } else {
      os << v;
    }
  } else if constexpr (std::is_same<char*, std::decay_t<T>>::value ||
                       std::is_same<std::string, T>::value) {
    os << v;
  } else if constexpr (is_dereferenceable<T>::value) {
    os << "{";
    if (v) {
      debug(os, *v);
    } else {
      os << "nil";
    }
    os << "}";
  } else if constexpr (is_iterable<T>::value) {
    os << "{";
    for (auto it = std::begin(v); it != std::end(v); ++it) {
      if (it != std::begin(v)) os << ", ";
      debug(os, *it);
    }
    os << "}";
  } else if constexpr (is_applicable<T>::value) {
    os << "{";
    std::apply([&os](const auto&... args) { debug(os, args...); }, v);
    os << "}";
  } else {
    os << v;
  }
}
template <typename T, typename... Ts>
void debug(std::ostream& os, const T& value, const Ts&... args) {
  debug(os, value);
  os << ", ";
  debug(os, args...);
}
#if DEBUG
#define dbg(...)                             \
  do {                                       \
    std::cerr << #__VA_ARGS__ << ": ";       \
    debug(std::cerr, __VA_ARGS__);           \
    std::cerr << " (L" << __LINE__ << ")\n"; \
  } while (0)
#else
#define dbg(...)
#endif

#endif  // DEBUG_H_
#ifndef FIX_H_
#define FIX_H_

template <class F>
struct FixPoint {
  F f;
  template <class... Args>
  decltype(auto) operator()(Args&&... args) const {
    return f(std::ref(*this), std::forward<Args>(args)...);
  }
};
template <class F>
FixPoint<std::decay_t<F>> Fix(F&& f) {
  return {std::forward<F>(f)};
}

#endif  // FIX_H_
#ifndef IO_H_
#define IO_H

void read_from_cin() {}
template <typename T, typename... Ts>
void read_from_cin(T& value, Ts&... args) {
  std::cin >> value;
  read_from_cin(args...);
}
#define rd(type, ...) \
  type __VA_ARGS__;   \
  read_from_cin(__VA_ARGS__);
#define ints(...) rd(int, __VA_ARGS__);
#define strings(...) rd(string, __VA_ARGS__);

const char *yes_str = "Yes", *no_str = "No";

template <typename T>
void write_to_cout(const T& value) {
  if constexpr (std::is_same<T, bool>::value) {
    std::cout << (value ? yes_str : no_str);
  } else if constexpr (is_iterable<T>::value &&
                       !std::is_same<T, std::string>::value) {
    for (auto it = std::begin(value); it != std::end(value); ++it) {
      if (it != std::begin(value)) std::cout << " ";
      std::cout << *it;
    }
  } else {
    std::cout << value;
  }
}
template <typename T, typename... Ts>
void write_to_cout(const T& value, const Ts&... args) {
  write_to_cout(value);
  std::cout << ' ';
  write_to_cout(args...);
}
#define wt(...)                 \
  do {                          \
    write_to_cout(__VA_ARGS__); \
    cout << '\n';               \
  } while (0)

template <typename T>
std::istream& operator>>(std::istream& is, std::vector<T>& v) {
  for (T& vi : v) is >> vi;
  return is;
}

template <typename T, typename U>
std::istream& operator>>(std::istream& is, std::pair<T, U>& p) {
  is >> p.first >> p.second;
  return is;
}

#endif  // IO_H_
#ifndef MACROS_H_
#define MACROS_H_

#define all(x) (x).begin(), (x).end()
#define eb(...) emplace_back(__VA_ARGS__)
#define pb(...) push_back(__VA_ARGS__)

#define dispatch(_1, _2, _3, name, ...) name

#define as_i64(x)                                                          \
  (                                                                        \
      [] {                                                                 \
        static_assert(                                                     \
            std::is_integral<                                              \
                typename std::remove_reference<decltype(x)>::type>::value, \
            "rep macro supports std integral types only");                 \
      },                                                                   \
      static_cast<int64_t>(x))

#define rep3(i, a, b) for (int64_t i = as_i64(a); i < as_i64(b); ++i)
#define rep2(i, n) rep3(i, 0, n)
#define rep1(n) rep2(_loop_variable_, n)
#define rep(...) dispatch(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep3(i, a, b) for (int64_t i = as_i64(b) - 1; i >= as_i64(a); --i)
#define rrep2(i, n) rrep3(i, 0, n)
#define rrep1(n) rrep2(_loop_variable_, n)
#define rrep(...) dispatch(__VA_ARGS__, rrep3, rrep2, rrep1)(__VA_ARGS__)

#define each3(k, v, c) for (auto&& [k, v] : c)
#define each2(e, c) for (auto&& e : c)
#define each(...) dispatch(__VA_ARGS__, each3, each2)(__VA_ARGS__)

template <typename T, typename U>
bool chmax(T& a, U b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}

template <typename T, typename U>
bool chmin(T& a, U b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}

template <typename T, typename U>
auto max(T a, U b) {
  return a > b ? a : b;
}

template <typename T, typename U>
auto min(T a, U b) {
  return a < b ? a : b;
}

template <typename T>
auto max(const T& v) {
  return *std::max_element(v.begin(), v.end());
}

template <typename T>
auto min(const T& v) {
  return *std::min_element(v.begin(), v.end());
}

template <typename T>
int64_t sz(const T& v) {
  return std::size(v);
}

template <typename T>
int64_t popcount(T i) {
  return std::bitset<std::numeric_limits<T>::digits>(i).count();
}

template <typename T>
bool hasbit(T s, int i) {
  return std::bitset<std::numeric_limits<T>::digits>(s)[i];
}

template <typename T, typename U>
auto div_floor(T n, U d) {
  if (d < 0) {
    n = -n;
    d = -d;
  }
  if (n < 0) {
    return -((-n + d - 1) / d);
  }
  return n / d;
};

template <typename T, typename U>
auto div_ceil(T n, U d) {
  if (d < 0) {
    n = -n;
    d = -d;
  }
  if (n < 0) {
    return -(-n / d);
  }
  return (n + d - 1) / d;
}

template <typename T>
bool even(T x) {
  return x % 2 == 0;
}

std::array<std::pair<int64_t, int64_t>, 4> adjacent(int64_t i, int64_t j) {
  return {{{i + 1, j}, {i, j + 1}, {i - 1, j}, {i, j - 1}}};
}

bool inside(int64_t i, int64_t j, int64_t I, int64_t J) {
  return 0 <= i && i < I && 0 <= j && j < J;
}

template <typename T>
void sort(T& v) {
  return std::sort(v.begin(), v.end());
}

template <typename T, typename Compare>
void sort(T& v, Compare comp) {
  return std::sort(v.begin(), v.end(), comp);
}

template <typename T>
void reverse(T& v) {
  return std::reverse(v.begin(), v.end());
}

template <typename T>
typename T::value_type accumulate(const T& v) {
  return std::accumulate(v.begin(), v.end(), typename T::value_type());
}

using i64 = int64_t;
using i32 = int32_t;

template <typename T>
using low_priority_queue =
    std::priority_queue<T, std::vector<T>, std::greater<T>>;

template <typename T>
using V = std::vector<T>;
template <typename T>
using VV = V<V<T>>;

#endif  // MACROS_H_

void Main();

int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(NULL);
  std::cout << std::fixed << std::setprecision(20);
  Main();
  return 0;
}

using namespace std;

#define int i64

void Main() {
  ints(n);
  rd(Point, p);
  using ld = long double;
  V<ld> r(n);
  cin >> r;
  ld sum = accumulate(r);
  wt([&] {
    rep(i, n) {
      ld d = abs(p.Norm() - r[i]);
      ld e = sum - r[i];
      if (d - 1e-6 < e * 2) return true;
    }
    return false;
  }());
}
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