#680782 (Crystal) No.854 公平なりんご分配

提出ソース

結果

問題	No.854 公平なりんご分配
コンテスト
ユーザー	te-sh
提出日時	2021-07-22 00:36:03
言語	Crystal (1.14.0)
結果	TLE
実行時間	-
コード長	7,934 bytes
コンパイル時間	12,407 ms
コンパイル使用メモリ	306,656 KB
実行使用メモリ	114,560 KB
最終ジャッジ日時	2024-07-17 14:29:43
合計ジャッジ時間	26,851 ms
ジャッジサーバーID （参考情報）	judge3 / judge1

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 * 50 TLE * 1 -- * 41

権限があれば一括ダウンロードができます

コンパイルメッセージ

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
            ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:61:19

 61 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
                  ^
Warning: Deprecated use of splat operator. Use `#splat` instead

In Main.cr:62:15

 62

ソースコード

raw source code

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

  pf = PrimeFactor.new(2000)
  np = pf.primes.size

  b = a.map do |ai|
    c = Array.new(np, 0)
    pf.primes.each_with_index do |pi, i|
      while ai % pi == 0
        c[i] += 1
        ai /= pi
      end
    end
    c
  end

  s = SegmentTree.new(b, Array.new(np, 0)) do |a, b|
    c = a.clone
    b.each_with_index do |bi, i|
      c[i] += bi
    end
    c
  end

  q = io.get
  q.times do
    p, l, r = io.get3; l -= 1; r -= 1

    c = Array.new(np, 0)
    pf.primes.each_with_index do |pi, i|
      while p % pi == 0
        c[i] += 1
        p /= pi
      end
    end

    if p > 1
      io.put "NO"
      next
    end

    h = s[l..r]
    io.put (0...np).all? { |i| h[i] >= c[i] } ? "Yes" : "NO"
  end
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 SegmentTree(T)
  def initialize(@n : Int32, @init : T = T.zero, &@compose : (T, T) -> T)
    @an = 1 << (@n - 1).bit_length
    @buf = Array.new(@an << 1, @init)
    propagate_all
  end

  def initialize(b : Array(T), @init : T = T.zero, &@compose : (T, T) -> T)
    @n = b.size
    @an = 1 << (@n - 1).bit_length
    @buf = Array.new(@an << 1, @init)
    @buf[@an, @n] = b
    propagate_all
  end

  def [](i : Int)
    @buf[i + @an]
  end

  def [](start : Int, count : Int)
    l, r = start + @an, start + count + @an
    r1 = r2 = @init
    while l != r
      if l.odd?
        r1 = @compose.call(r1, @buf[l])
        l += 1
      end
      if r.odd?
        r -= 1
        r2 = @compose.call(@buf[r], r2)
      end
      l >>= 1
      r >>= 1
    end
    @compose.call(r1, r2)
  end

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

  def []=(i : Int, v : T)
    @buf[i + @an] = v
    propagate(i + @an)
  end


  @an : Int32
  @buf : Array(T)

  private def propagate_all
    (1...@an).reverse_each do |i|
      @buf[i] = @compose.call(@buf[i << 1], @buf[i << 1 | 1])
    end
  end

  private def propagate(i : Int)
    while (i >>= 1) > 0
      @buf[i] = @compose.call(@buf[i << 1], @buf[i << 1 | 1])
    end
  end
end

require "bit_array"

class PrimeFactor
  def initialize(@n : Int32)
    s = (@n+1)//2
    sieve = BitArray.new(s, true)

    if @n < 2
      @primes = [] of Int32
      return
    end

    (1..(n.isqrt-1)//2).each do |p|
      if sieve[p]
        (p*3+1...s).step(p*2+1) do |q|
          sieve[q] = false
        end
      end
    end

    @primes = [2]
    (1...s).each do |p|
      @primes << p*2+1 if sieve[p]
    end
  end

  def self.sqrt(n : Int)
    self.new(n.isqrt.to_i32)
  end

  getter primes : Array(Int32)

  record Factor(T), prime : T, exp : Int32

  def div(x : T) forall T
    factors = [] of Factor(T)
    t = x.isqrt
    @primes.each do |p|
      break if p > t
      c = 0
      while x%p == 0
        c += 1
        x //= p
      end
      factors << Factor.new(T.new(p), c) if c > 0
      break if x == 1
    end
    factors << Factor.new(x, 1) if x > 1
    factors
  end

  def divisors(x : T) forall T
    factors = div(x)
    r = divisors_proc(factors, 0, T.multiplicative_identity)
    r.sort!
  end


  def divisors_proc(factors : Array(Factor(T)), i : Int32, c : T) forall T
    return [c] if i == factors.size
    r = [] of T
    (0..factors[i].exp).each do |j|
      r.concat(divisors_proc(factors, i+1, c * factors[i].prime**j))
    end
    r
  end
end

solve(ProconIO.new)

yukicoder

結果

コンパイルメッセージ

ソースコード