結果

問題 No.694 square1001 and Permutation 3
ユーザー yuruhiyayuruhiya
提出日時 2021-07-23 10:46:56
言語 Crystal
(1.11.2)
結果
AC  
実行時間 1,048 ms / 3,000 ms
コード長 6,073 bytes
コンパイル時間 24,591 ms
コンパイル使用メモリ 255,740 KB
実行使用メモリ 26,936 KB
最終ジャッジ日時 2023-09-25 08:47:59
合計ジャッジ時間 32,711 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
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
4,332 KB
testcase_01 AC 3 ms
4,384 KB
testcase_02 AC 3 ms
4,392 KB
testcase_03 AC 3 ms
4,360 KB
testcase_04 AC 3 ms
4,388 KB
testcase_05 AC 3 ms
4,452 KB
testcase_06 AC 4 ms
4,472 KB
testcase_07 AC 796 ms
14,180 KB
testcase_08 AC 876 ms
15,884 KB
testcase_09 AC 1,043 ms
26,776 KB
testcase_10 AC 770 ms
14,680 KB
testcase_11 AC 1,038 ms
26,792 KB
testcase_12 AC 1,048 ms
26,936 KB
testcase_13 AC 2 ms
4,376 KB
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ソースコード

diff # 

# require "/scanner"
# ### Specifications
#
# ```plain
# Inside input macro                            | Expanded code
# ----------------------------------------------+---------------------------------------
# Uppercase string: Int32, Int64, Float64, etc. | {}.new(Scanner.s)
# s                                             | Scanner.s
# c                                             | Scanner.c
# Other lowercase string: i, i64, f, etc.       | Scanner.s.to_{}
# operator[]: type[size]                        | Array.new(input(size)) { input(type) }
# Tuple literal: {t1, t2, t3}                   | {input(t1), input(t2), input(t3)}
# Array literal: [t1, t2, t3]                   | [input(t1), input(t2), input(t3)]
# Range literal: t1..t2                         | input(t1)..input(t2)
# If: cond ? t1 : t2                            | cond ? input(t1) : input(t2)
# Assign: target = value                        | target = input(value)
# ```
#
# ### Examples
#
# Input:
# ```plain
# 5 3
# foo bar
# 1 2 3 4 5
# ```
# ```
# n, m = input(Int32, Int64) # => {5, 10i64}
# input(String, Char[m])     # => {"foo", ['b', 'a', 'r']}
# input(Int32[n])            # => [1, 2, 3, 4, 5]
# ```
# ```
# n, m = input(i, i64) # => {5, 10i64}
# input(s, c[m])       # => {"foo", ['b', 'a', 'r']}
# input(i[n])          # => [1, 2, 3, 4, 5]
# ```
#
# Input:
# ```plain
# 2 3
# 1 2 3
# 4 5 6
# ```
#
# ```
# h, w = input(i, i) # => {2, 3}
# input(i[h, w])     # => [[1, 2, 3], [4, 5, 6]]
# ```
# ```
# input(i[i][i]) # => [[1, 2, 3], [4, 5, 6]]
# ```
#
# Input:
# ```plain
# 5 3
# 3 1 4 2 5
# 1 2
# 2 3
# 3 1
# ```
# ```
# n, m = input(i, i)       # => {5, 3}
# input(i.pred[n])         # => [2, 0, 3, 1, 4]
# input({i - 1, i - 1}[m]) # => [{0, 1}, {1, 2}, {2, 0}]
# ```
#
# Input:
# ```plain
# 3
# 1 2
# 2 2
# 3 2
# ```
# ```
# input({tmp = i, tmp == 1 ? i : i.pred}[i]) # => [{1, 2}, {2, 1}, {3, 1}]
# ```
class Scanner
  private def self.skip_to_not_space
    peek = STDIN.peek
    not_space = peek.index { |x| x != 32 && x != 10 } || peek.size
    STDIN.skip(not_space)
  end

  def self.c
    skip_to_not_space
    STDIN.read_char.not_nil!
  end

  def self.s
    skip_to_not_space

    peek = STDIN.peek
    if index = peek.index { |x| x == 32 || x == 10 }
      STDIN.skip(index + 1)
      return String.new(peek[0, index])
    end

    String.build do |buffer|
      loop do
        buffer.write peek
        STDIN.skip(peek.size)
        peek = STDIN.peek
        break if peek.empty?
        if index = peek.index { |x| x == 32 || x == 10 }
          buffer.write peek[0, index]
          STDIN.skip(index)
          break
        end
      end
    end
  end
end

macro internal_input(s, else_ast)
  {% if Scanner.class.has_method?(s.id) %}
    Scanner.{{s.id}}
  {% elsif s.stringify == "String" %}
    Scanner.s
  {% elsif s.stringify == "Char" %}
    Scanner.c
  {% elsif s.stringify =~ /[A-Z][a-z0-9_]*/ %}
    {{s.id}}.new(Scanner.s)
  {% elsif String.has_method?("to_#{s}".id) %}
    Scanner.s.to_{{s.id}}
  {% else %}
    {{else_ast}}
  {% end %}
end

macro internal_input_array(s, args)
  {% for i in 0...args.size %}
    %size{i} = input({{args[i]}})
  {% end %}
  {% begin %}
    {% for i in 0...args.size %} Array.new(%size{i}) { {% end %}
      input({{s.id}})
    {% for i in 0...args.size %} } {% end %}
  {% end %}
end

macro input(s)
  {% if s.is_a?(Call) %}
    {% if s.receiver.is_a?(Nop) %}
      internal_input(
        {{s.name}}, {{s.name}}(
          {% for argument in s.args %} input({{argument}}), {% end %}
        )
      )
    {% elsif s.name.stringify == "[]" %}
      internal_input_array({{s.receiver}}, {{s.args}})
    {% else %}
      input({{s.receiver}}).{{s.name.id}}(
        {% for argument in s.args %} input({{argument}}), {% end %}
      ) {{s.block}}
    {% end %}
  {% elsif s.is_a?(TupleLiteral) %}
    { {% for i in 0...s.size %} input({{s[i]}}), {% end %} }
  {% elsif s.is_a?(ArrayLiteral) %}
    [ {% for i in 0...s.size %} input({{s[i]}}), {% end %} ]
  {% elsif s.is_a?(RangeLiteral) %}
    Range.new(input({{s.begin}}), input({{s.end}}), {{s.excludes_end?}})
  {% elsif s.is_a?(If) %}
    {{s.cond}} ? input({{s.then}}) : input({{s.else}})
  {% elsif s.is_a?(Assign) %}
    {{s.target}} = input({{s.value}})
  {% else %}
    internal_input({{s.id}}, {{s.id}})
  {% end %}
end

macro input(*s)
  { {% for s in s %} input({{s}}), {% end %} }
end

# require "/datastructure/binary_indexed_tree"
class BinaryIndexedTree(T)
  getter size : Int32

  def initialize(@size)
    @a = Array(T).new(@size + 1, T.zero)
  end

  def initialize(a : Array(T))
    @a = [T.zero]
    @a.concat a
    @size = a.size
    (1...size).each do |i|
      j = i + (i & -i)
      next if j > size
      @a[j] += @a[i]
    end
  end

  # Add *x* to `a[i]`.
  def add(i : Int, x) : Nil
    raise IndexError.new unless 0 <= i < size
    i += 1
    while i <= size
      @a[i] += x
      i += i & -i
    end
  end

  # Set *x* to `a[i]`.
  def set(i : Int, x) : Nil
    add(i, x - self[i, 1])
  end

  # Culculates sum of `a[0...i]`.
  def left_sum(i : Int) : T
    raise IndexError.new unless 0 <= i <= size
    sum = T.zero
    while i > 0
      sum += @a[i]
      i -= i & -i
    end
    sum
  end

  def [](start : Int, count : Int) : T
    left_sum(start + count) - left_sum(start)
  end

  def [](range : Range) : T
    self[*Indexable.range_to_index_and_count(range, size) || raise IndexError.new]
  end

  def to_a : Array(T)
    (0...size).map { |i| self[i..i] }
  end
end

# require "/array/compress"
class Array(T)
  def compress(values : Array(T), *, index : Int = 0)
    map do |x|
      index + values.bsearch_index { |y| y >= x }.not_nil!
    end
  end

  def compress(*, index : Int = 0) : Array(Int32)
    compress(uniq.sort!, index: index)
  end
end

n = input(i)
a = input(i[n]).compress

bit = BinaryIndexedTree(Int64).new(n)
ans = 0i64
n.times do |i|
  bit.add(a[i], 1)
  ans += bit[a[i] + 1..]
end
puts ans
(0...n - 1).each do |i|
  ans -= bit[0...a[i]]
  bit.add(a[i], -1)
  bit.add(a[i], 1)
  ans += bit[a[i] + 1..]
  puts ans
end
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