結果

問題 No.764 浮動点
コンテスト
ユーザー te-sh
提出日時 2021-07-12 18:24:36
言語 Crystal
(1.14.0)
結果
AC  
実行時間 6 ms / 1,500 ms
コード長 6,333 bytes
コンパイル時間 14,070 ms
コンパイル使用メモリ 304,504 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-07-02 03:33:21
合計ジャッジ時間 15,223 ms
ジャッジサーバーID
（参考情報） 		judge2 / 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 * 3
other AC * 23
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 # 

def solve(io)
  n = io.get
  l = io.get_c(n+2, Float64)

  l0 = l[0]
  lc = CumulativeSum.new(l)

  ll = Array.new(n+2, 0.0)
  ll[1] = l[1]
  (2..n+1).each do |i|
    ll[i] = Math.max(ll[i-1], l[i])
  end

  lr = Array.new(n+2, 0.0)
  lr[n+1] = l[n+1]
  (1..n).reverse_each do |i|
    lr[i] = Math.max(lr[i+1], l[i])
  end

  io.put 0
  (2...n).each do |i|
    a = lc[1...i+1]
    b = (2 * ll[i] - a).clamp(0.0..)
    c = lc[i+1...]
    d = (2 * lr[i+1] - c).clamp(0.0..)

    io.put calc(l0, a, c) - calc(l0, a, d) - calc(l0, b, c) + calc(l0, b, d)
  end
  io.put 0
end

def integral(a, x)
  if (a-x).near_zero?
    a**2 * Math::PI / 2
  else
    x * Math.sqrt(a**2 - x**2) + a**2 * Math.asin(x / a)
  end
end

def calc(l0, r1, r2)
  if r1 + r2 < l0
    0.0
  elsif r1+l0 < r2
    Math::PI * r1**2
  elsif r2+l0 < r1
    Math::PI * r2**2
  else
    x = (l0**2 + r1**2 - r2**2) / (l0 * 2)
    integral(r2, x-l0) - integral(r2, -r2) + integral(r1, r1) - integral(r1, x)
  end
end

struct Int
  def cdiv(b : Int)
    (self + b - 1) // b
  end

  def bit?(i : Int)
    bit(i) == 1
  end

  def set_bit(i : Int)
    self | (self.class.new(1) << i)
  end

  def reset_bit(i : Int)
    self & ~(self.class.new(1) << i)
  end

  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.34.0") < 0 %}
    def bit_length : Int32
      x = self < 0 ? ~self : self

      if x.is_a?(Int::Primitive)
        Int32.new(sizeof(self) * 8 - x.leading_zeros_count)
      else
        to_s(2).size
      end
    end
  {% end %}
end

struct Int32
  SQRT_MAX = 46_340_i32

  def isqrt
    m = SQRT_MAX
    r = (1_i32..SQRT_MAX).bsearch { |i| i**2 > self }
    r.nil? ? SQRT_MAX : r - 1
  end
end

struct Int64
  SQRT_MAX = 3_037_000_499_i64

  def isqrt
    r = (1_i64..SQRT_MAX).bsearch { |i| i**2 > self }
    r.nil? ? SQRT_MAX : r - 1
  end
end

struct Float64
  def near_zero?
    self.abs < EPSILON
  end
end

struct Number
  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "1.1.0") < 0 %}
    def zero?
      self == 0
    end

    def positive?
      self > 0
    end

    def negative?
      self < 0
    end
  {% end %}

  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.36.0") < 0 %}
    def self.additive_identity
      zero
    end

    def self.multiplicative_identity
      new(1)
    end
  {% end %}
end

class Array
  macro new_md(*args, &block)
    {% if !block %}
      {% for arg, i in args[0...-2] %}
        Array.new({{arg}}) {
      {% end %}
      Array.new({{args[-2]}}, {{args[-1]}})
      {% for arg in args[0...-2] %}
        }
      {% end %}
    {% else %}
      {% for arg, i in args %}
        Array.new({{arg}}) { |_i{{i}}|
      {% end %}
      {% for block_arg, i in block.args %}
        {{block_arg}} = _i{{i}}
      {% end %}
      {{block.body}}
      {% for arg in args %}
        }
      {% end %}
    {% end %}
  end
end

class ProconIO
  def initialize(@ins : IO = STDIN, @outs : IO = STDOUT)
    @buf = [] of String
    @index = 0
  end

  def get(k : T.class = Int32) forall T
    get_v(k)
  end

  macro define_get
    {% for i in (2..9) %}
      def get(
            {% for j in (1..i) %}
              k{{j}}{% if j < i %},{% end %}
            {% end %}
          )
        {
          {% for j in (1..i) %}
            get(k{{j}}){% if j < i %},{% end %}
          {% end %}
        }
      end
    {% end %}
  end
  define_get

  macro define_getn
    {% for i in (2..9) %}
      def get{{i}}(k : T.class = Int32) forall T
        get(
          {% for j in (1..i) %}
            k{% if j < i %}, {% end %}
          {% end %}
        )
      end
    {% end %}
  end
  define_getn

  def get_a(n : Int, k : T.class = Int32) forall T
    Array.new(n) { get_v(k) }
  end

  def get_c(n : Int, k : T.class = Int32) forall T
    get_a(n, k)
  end

  macro define_get_c
    {% for i in (2..9) %}
      def get_c(
            n : Int,
            {% for j in (1..i) %}
              k{{j}}{% if j < i %},{% end %}
            {% end %}
          )
        a = Array.new(n) do
          get(
            {% for j in (1..i) %}
              k{{j}}{% if j < i %},{% end %}
            {% end %}
          )
        end
        {
          {% for j in (1..i) %}
            a.map { |e| e[{{j-1}}] }{% if j < i %},{% end %}
          {% end %}
        }
      end
    {% end %}
  end
  define_get_c

  macro define_getn_c
    {% for i in (2..9) %}
      def get{{i}}_c(n : Int, k : T.class = Int32) forall T
        get_c(
          n,
          {% for j in (1..i) %}
            k{% if j < i %}, {% end %}
          {% end %}
        )
      end
    {% end %}
  end
  define_getn_c

  def get_m(r : Int, c : Int, k : T.class = Int32) forall T
    Array.new(r) { get_a(c, k) }
  end

  def put(*vs)
    vs.each.with_index do |v, i|
      put_v(v)
      @outs.print i < vs.size - 1 ? " " : "\n"
    end
  end

  def put_e(*vs)
    put(*vs)
    exit
  end

  def put_f(*vs)
    put(*vs)
    @outs.flush
  end


  private def get_v(k : Int32.class); get_token.to_i32; end
  private def get_v(k : Int64.class); get_token.to_i64; end
  private def get_v(k : UInt32.class); get_token.to_u32; end
  private def get_v(k : UInt64.class); get_token.to_u64; end
  private def get_v(k : Float64.class); get_token.to_f64; end
  private def get_v(k : String.class); get_token; end

  private def get_token
    if @buf.size == @index
      str = @ins.read_line
      @buf = str.split
      @index = 0
    end
    v = @buf[@index]
    @index += 1
    v
  end

  private def put_v(vs : Enumerable)
    vs.each_with_index do |v, i|
      @outs.print v
      @outs.print " " if i < vs.size - 1
    end
  end

  private def put_v(v)
    @outs.print v
  end
end

macro min_u(a, b)
  {{a}} = Math.min({{a}}, {{b}})
end

macro max_u(a, b)
  {{a}} = Math.max({{a}}, {{b}})
end

macro zip(a, *b, &block)
  {{a}}.zip({{*b}}) {{block}}
end

class CumulativeSum(T)
  def initialize(a : Array(T))
    @n = a.size
    @s = Array.new(@n+1, T.additive_identity)
    @n.times.each do |i|
      @s[i+1] = @s[i] + a[i]
    end
  end

  getter n : Int32

  def [](start : Int, count : Int)
    @s[start + count] - @s[start]
  end

  def [](r : Range)
    sc = Indexable.range_to_index_and_count(r, @n)
    raise ArgumentError.new("Invalid range") if sc.nil?
    self[*sc]
  end


  @s : Array(T)
end

solve(ProconIO.new)
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