#680552 (Crystal) No.797 Noelちゃんとピラミッド

提出ソース

結果

問題	No.797 Noelちゃんとピラミッド
ユーザー	te-sh
提出日時	2021-07-21 22:48:02
言語	Crystal (1.11.2)
結果	AC
実行時間	23 ms / 2,000 ms
コード長	7,645 bytes
コンパイル時間	19,827 ms
コンパイル使用メモリ	260,456 KB
実行使用メモリ	8,664 KB
最終ジャッジ日時	2023-09-24 13:29:13
合計ジャッジ時間	22,654 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	3 ms 4,508 KB
testcase_01	AC	2 ms 4,436 KB
testcase_02	AC	2 ms 4,424 KB
testcase_03	AC	22 ms 8,092 KB
testcase_04	AC	22 ms 8,116 KB
testcase_05	AC	22 ms 8,180 KB
testcase_06	AC	22 ms 8,184 KB
testcase_07	AC	23 ms 8,264 KB
testcase_08	AC	22 ms 8,124 KB
testcase_09	AC	22 ms 8,128 KB
testcase_10	AC	22 ms 8,140 KB
testcase_11	AC	21 ms 8,180 KB
testcase_12	AC	22 ms 8,184 KB
testcase_13	AC	21 ms 8,168 KB
testcase_14	AC	22 ms 8,116 KB
testcase_15	AC	21 ms 8,256 KB
testcase_16	AC	22 ms 8,248 KB
testcase_17	AC	21 ms 8,120 KB
testcase_18	AC	22 ms 8,188 KB
testcase_19	AC	22 ms 8,208 KB
testcase_20	AC	21 ms 8,224 KB
testcase_21	AC	22 ms 8,160 KB
testcase_22	AC	22 ms 8,160 KB
testcase_23	AC	17 ms 7,796 KB
testcase_24	AC	7 ms 5,436 KB
testcase_25	AC	15 ms 7,768 KB
testcase_26	AC	14 ms 7,552 KB
testcase_27	AC	21 ms 8,052 KB
testcase_28	AC	21 ms 8,252 KB
testcase_29	AC	5 ms 5,076 KB
testcase_30	AC	7 ms 5,408 KB
testcase_31	AC	17 ms 7,784 KB
testcase_32	AC	8 ms 6,100 KB
testcase_33	AC	15 ms 7,596 KB
testcase_34	AC	11 ms 6,748 KB
testcase_35	AC	23 ms 8,184 KB
testcase_36	AC	4 ms 4,848 KB
testcase_37	AC	20 ms 8,256 KB
testcase_38	AC	21 ms 8,664 KB
testcase_39	AC	14 ms 7,668 KB
testcase_40	AC	5 ms 4,816 KB
testcase_41	AC	6 ms 5,268 KB
testcase_42	AC	14 ms 7,648 KB
testcase_43	AC	2 ms 4,380 KB
testcase_44	AC	2 ms 4,504 KB
testcase_45	AC	2 ms 4,524 KB
testcase_46	AC	2 ms 4,376 KB
testcase_47	AC	2 ms 4,400 KB
testcase_48	AC	2 ms 4,440 KB
testcase_49	AC	3 ms 4,380 KB
testcase_50	AC	2 ms 4,436 KB
testcase_51	AC	2 ms 4,392 KB
testcase_52	AC	2 ms 4,504 KB
testcase_53	AC	2 ms 4,380 KB
testcase_54	AC	2 ms 4,452 KB
testcase_55	AC	2 ms 4,404 KB
testcase_56	AC	2 ms 4,424 KB
testcase_57	AC	2 ms 4,508 KB
testcase_58	AC	2 ms 4,552 KB
testcase_59	AC	2 ms 4,468 KB
testcase_60	AC	3 ms 4,396 KB
testcase_61	AC	3 ms 4,424 KB
testcase_62	AC	2 ms 4,524 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

raw source code

def solve(io)
  n = io.get
  a = io.get_a(n)

  f = Fact(Mint).new(n)
  r = Mint.zero
  a.each_with_index do |ai, i|
    r += f.combi(n-1, i) * ai
  end

  io.put r
end

class ProconIO
  def initialize(@ins : IO = STDIN, @outs : IO = STDOUT)
    @buf = IO::Memory.new("")
  end

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

  macro define_get
    {% for i in (2..9) %}
      def get({{ *(1..i).map { |j| "k#{j}".id } }})
        { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
      end
    {% end %}
  end
  define_get

  macro define_getn
    {% for i in (2..9) %}
      def get{{i}}(k : T.class = Int32) forall T
        get({{ *(1..i).map { "k".id } }})
      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, {{ *(1..i).map { |j| "k#{j}".id } }})
        a = Array.new(n) { get({{ *(1..i).map { |j| "k#{j}".id } }}) }
        { {{ *(1..i).map { |j| "a.map { |e| e[#{j-1}] }".id } }} }
      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, {{ *(1..i).map { "k".id } }})
      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

  macro define_put
    {% for i in (1..9) %}
      def put({{ *(1..i).map { |j| "v#{j}".id } }}, *, delimiter = " ")
        {% for j in (1..i) %}
          print_v(v{{j}}, delimiter)
          {% if j < i %}@outs << delimiter{% end %}
        {% end %}
        @outs.puts
      end
    {% end %}
  end
  define_put

  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
    loop do
      token = @buf.gets(' ', chomp: true)
      break token unless token.nil?
      @buf = IO::Memory.new(@ins.read_line)
    end
  end

  private def print_v(v, dlimiter)
    @outs << v
  end

  private def print_v(v : Enumerable, delimiter)
    v.each_with_index do |e, i|
      @outs << e
      @outs << delimiter if i < v.size - 1
    end
  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

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 Fact(T)
  def initialize(@n : Int32)
    @table = Array.new(@n+1, T.multiplicative_identity)
    (1..@n).each do |i|
      @table[i] = @table[i-1] * i
    end

    @inv_table = Array.new(@n+1, T.multiplicative_identity)
    @inv_table[@n] //= @table[@n]
    (1..@n).reverse_each do |i|
      @inv_table[i-1] = @inv_table[i] * i
    end
  end

  getter table : Array(T)

  getter inv_table : Array(T)

  def fact(n : Int)
    @table[n]
  end

  def perm(n : Int, r : Int)
    @table[n] * @inv_table[n-r]
  end

  def combi(n : Int, r : Int)
    @table[n] * @inv_table[r] * @inv_table[n-r]
  end

  def homo(n : Int, r : Int)
    combi(n + r - 1, r)
  end


  @table : Array(T)
  @inv_table : Array(T)
end

def powr(a : T, n : Int, i : T = T.multiplicative_identity) forall T
  powr(a, n, i) { |a, b| a * b }
end

def powr(a : T, n : Int, i : T = T.multiplicative_identity, &block) forall T
  return i if n == 0
  r, b = i, a
  while n > 0
    r = yield r, b if n.bit(0) == 1
    b = yield b, b
    n >>= 1
  end
  r
end

def ext_gcd(a : T, b : T) forall T
  if a == 0
    {b, T.new(0), T.new(1)}
  else
    g, x, y = ext_gcd(b % a, a)
    {g, y - (b // a) * x, x}
  end
end

def bit_subsets(a : Int, includes_zero = false)
  n = i = a
  if includes_zero
    while i >= 0
      yield i & n
      i = (i & n) - 1
    end
  else
    while i > 0
      yield i
      i = (i - 1) & n
    end
  end
end

def bit_zeta_trans_subset(n : Int, f : Array(T), &compose : (T, T) -> T) forall T
  g = Array.new(1 << n) { |i| f[i] }
  n.times do |i|
    (1 << n).times do |j|
      if j >> i & 1 != 0
        g[j] = compose.call(g[j], g[j ^ (1 << i)])
      end
    end
  end
  g
end

def bit_zeta_trans_superset(n : Int, f : Array(T), &compose : (T, T) -> T) forall T
  g = Array.new(1 << n) { |i| f[i] }
  n.times do |i|
    (1 << n).times do |j|
      if j >> i & 1 == 0
        g[j] = compose.call(g[j], g[j ^ (1 << i)])
      end
    end
  end
  g
end

abstract struct ModInt < Number
  macro new_type(name, mod)
    struct {{name}} < ModInt
      @@mod : Int32 = {{mod}}
    end
  end

  def initialize(v : Int)
    @v = (v % @@mod).to_i64
  end

  def_hash @@mod, @v

  def to_s
    @v.to_s
  end

  def to_s(io : IO) : Nil
    @v.to_s(io)
  end

  getter v : Int64

  delegate to_i, to: @v

  def ==(r : self)
    @v == r.v
  end

  def ==(r : Int)
    @v == (r % @@mod)
  end

  def - : self
    m(-@v)
  end

  def +(r : self)
    m(@v + r.v)
  end

  def +(r : Int)
    self + m(r)
  end

  def -(r : self)
    m(@v - r.v)
  end

  def -(r : Int)
    self - m(r)
  end

  def *(r : self)
    m(@v * r.v)
  end

  def *(r : Int)
    self * m(r)
  end

  def //(r : self)
    self * r.inv
  end

  def //(r : Int)
    self // m(r)
  end

  def **(n : Int)
    powr(self, n)
  end

  def inv
    m(ext_gcd(@v.to_i32, @@mod)[1])
  end


  private def m(v : Int)
    self.class.new(v)
  end
end
ModInt.new_type(Mint, 10**9+7)

solve(ProconIO.new)

yukicoder

結果

テストケース

ソースコード