This documentation is automatically generated by online-judge-tools/verification-helper

:heavy_check_mark: test/datastructure/cul_sum_2d_2_test.cr

Depends on

Code

# verification-helper: PROBLEM https://yukicoder.me/problems/no/1490
require "../../src/datastructure/imos_2d"
require "../../src/datastructure/cul_sum_2d"
require "../../src/scanner"
h, w, n, m = input(i, i, i, i)
tulra = input({i, i, i, i, i}[n])

imos = Imos2D(Int64).new(h, w)
m.times do
  x, y, b, c = read_line.split.map(&.to_i)
  x_range = {x - 1 - b, 0}.max...{x + b, h}.min
  y_range = {y - 1 - b, 0}.max...{y + b, w}.min
  imos.add(x_range, y_range, c.to_i64)
end
imos.build
sum = CulSum2D(Int64).new(h, w) { |i, j| imos[i, j] }

puts tulra.count { |(t, u, l, r, a)|
  sum[t - 1...u, l - 1...r] < a
}
# verification-helper: PROBLEM https://yukicoder.me/problems/no/1490
# require "../../src/datastructure/imos_2d"
class Imos2D(T)
  getter height : Int32, width : Int32
  @built = false

  def initialize(@height, @width, init_val : T = T.zero)
    @table = Array(Array(T)).new(@height + 1) do
      Array(T).new(@width + 1, init_val)
    end
  end

  def add(ys : Int, yc : Int, xs : Int, xc : Int, val : T) : Nil
    raise "self had been called `#build`" if @built
    raise ArgumentError.new "Negative count: #{yc}" if yc < 0
    raise ArgumentError.new "Negative count: #{xc}" if xc < 0
    @table[ys + yc][xs + xc] += val
    @table[ys + yc][xs] -= val
    @table[ys][xs + xc] -= val
    @table[ys][xs] += val
  end

  def add(y : Range, x : Range, val : T) : Nil
    ys, yc = Indexable.range_to_index_and_count(y, height) || raise IndexError.new
    xs, xc = Indexable.range_to_index_and_count(x, width) || raise IndexError.new
    add(ys, yc, xs, xc, val)
  end

  def build : Array(Array(T))
    raise "self had been called `#build`" if @built
    @built = true
    (0..height).each do |y|
      (1..width).each do |x|
        @table[y][x] += @table[y][x - 1]
      end
    end
    (1..height).each do |y|
      (0..width).each do |x|
        @table[y][x] += @table[y - 1][x]
      end
    end
    (0...height).map { |i| @table[i][0...width] }
  end

  def [](y : Int32, x : Int32) : T
    raise "self had not been called `#build`" unless @built
    @table[y][x]
  end
end

# require "../../src/datastructure/cul_sum_2d"
class CulSum2D(T)
  getter height : Int32, width : Int32

  def initialize(a : Array(Array(T)))
    @height = a.size
    raise ArgumentError.new unless height > 0
    @width = a[0].size
    raise ArgumentError.new unless a.all? { |b| b.size == width }

    @sum = Array(Array(T)).new(height + 1) { |i|
      i == 0 ? Array.new(width + 1, T.zero) : [T.zero] + a[i - 1]
    }
    height.times do |i|
      width.succ.times do |j|
        @sum[i + 1][j] += @sum[i][j]
      end
    end
    height.succ.times do |i|
      width.times do |j|
        @sum[i][j + 1] += @sum[i][j]
      end
    end
  end

  def initialize(@height : Int32, @width : Int32, &block : Int32, Int32 -> T)
    raise ArgumentError.new unless height > 0 && width > 0
    @sum = Array(Array(T)).new(height + 1) { Array.new(width + 1, T.zero) }
    height.times do |i|
      width.times do |j|
        @sum[i + 1][j + 1] = yield(i, j)
      end
    end
    height.times do |i|
      width.succ.times do |j|
        @sum[i + 1][j] += @sum[i][j]
      end
    end
    height.succ.times do |i|
      width.times do |j|
        @sum[i][j + 1] += @sum[i][j]
      end
    end
  end

  def []?(y_start : Int, y_count : Int, x_start : Int, x_count : Int) : T?
    raise ArgumentError.new "Negative y_count: #{y_count}" unless y_count >= 0
    raise ArgumentError.new "Negative x_count: #{x_count}" unless x_count >= 0
    y_start += height if y_start < 0
    x_start += width if x_start < 0

    if 0 <= y_start <= height && 0 <= x_start <= width
      y_count = Math.min(y_count, height - y_start)
      x_count = Math.min(x_count, width - x_start)

      @sum[y_start + y_count][x_start + x_count] - @sum[y_start + y_count][x_start] -
        @sum[y_start][x_start + x_count] + @sum[y_start][x_start]
    end
  end

  def []?(y_range : Range, x_range : Range) : T?
    ys, yc = Indexable.range_to_index_and_count(y_range, height) || return nil
    xs, xc = Indexable.range_to_index_and_count(x_range, width) || return nil
    self[ys, yc, xs, xc]?
  end

  def [](ys : Int, yc : Int, xs : Int, xc : Int) : T
    self[ys, yc, xs, xc]? || raise IndexError.new
  end

  def [](y_range : Range, x_range : Range) : T
    self[y_range, x_range]? || raise IndexError.new
  end

  def to_a : Array(Array(T))
    Array.new(height) do |i|
      Array.new(width) do |j|
        self[i, 1, j, 1]
      end
    end
  end
end

# require "../../src/scanner"
module Scanner
  extend self

  private def skip_to_not_space(io)
    peek = io.peek
    not_space = peek.index { |x| x != 32 && x != 10 } || peek.size
    io.skip(not_space)
  end

  def c(io = STDIN)
    skip_to_not_space(io)
    io.read_char.not_nil!
  end

  private def int(int_type : T.class, io = STDIN) : T forall T
    skip_to_not_space(io)

    value = T.zero
    signed = false
    case x = io.read_byte
    when nil
      raise IO::EOFError.new
    when 45
      signed = true
    when 48..57
      value = T.new 48 &- x
    else
      raise "Unexpected char: #{x.chr}"
    end

    loop do
      peek = io.peek
      return signed ? value : -value if peek.empty?
      i = 0
      while i < peek.size
        c = peek.unsafe_fetch(i)
        if 48 <= c <= 57
          value = value &* 10 &- c &+ 48
          i &+= 1
        elsif c == 32 || c == 10
          io.skip(i &+ 1)
          return signed ? value : -value
        else
          raise "Unexpected char: #{c.chr}"
        end
      end
      io.skip(i)
    end
  end

  private def uint(uint_type : T.class, io = STDIN) : T forall T
    skip_to_not_space(io)
    value = T.zero
    found_digit = false
    loop do
      peek = io.peek
      if peek.empty?
        if found_digit
          return value
        else
          raise IO::EOFError.new
        end
      end
      i = 0
      while i < peek.size
        c = peek.unsafe_fetch(i)
        if 48 <= c <= 57
          found_digit = true
          value = value &* 10 &+ c &- 48
          i &+= 1
        elsif c == 32 || c == 10
          io.skip(i &+ 1)
          return value
        else
          raise "Unexpected char: #{c.chr}"
        end
      end
      io.skip(i)
    end
  end

  def i(io = STDIN)
    int(Int32, io)
  end

  {% for n in [8, 16, 32, 64, 128] %}
    def i{{n}}(io = STDIN)
      int(Int{{n}}, io)
    end

    def u{{n}}(io = STDIN)
      uint(UInt{{n}}, io)
    end
  {% end %}

  {% for method in [:f, :f32, :f64] %}
    def {{method.id}}(io = STDIN)
      s(io).to_{{method.id}}
    end
  {% end %}

  def s(io = STDIN)
    skip_to_not_space(io)

    peek = io.peek
    if peek.empty?
      raise IO::EOFError.new
    end
    if index = peek.index { |x| x == 32 || x == 10 }
      io.skip(index + 1)
      return String.new(peek[0, index])
    end

    String.build do |buffer|
      loop do
        buffer.write peek
        io.skip(peek.size)
        peek = io.peek
        break if peek.empty?
        if index = peek.index { |x| x == 32 || x == 10 }
          buffer.write peek[0, index]
          io.skip(index + 1)
          break
        end
      end
    end
  end
end

macro internal_input(type, else_ast, io)
  {% if Scanner.class.has_method?(type.id) %}
    Scanner.{{type.id}}({{io}})
  {% elsif type.stringify == "String" %}
    Scanner.s({{io}})
  {% elsif type.stringify == "Char" %}
    Scanner.c({{io}})
  {% elsif type.is_a?(Path) %}
    {% if type.resolve.class.has_method?(:scan) %}
      {{type}}.scan(Scanner, {{io}})
    {% else %}
      {{type}}.new(Scanner.s({{io}}))
    {% end %}
  {% elsif String.has_method?("to_#{type}".id) %}
    Scanner.s({{io}}).to_{{type.id}}
  {% else %}
    {{else_ast}}
  {% end %}
end

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

# Inputs from *io*.
#
# ### Specifications
#
# ```plain
# AST               | Example             | Expanded code
# ------------------+---------------------+---------------------------------------
# Uppercase string  | Int32, Int64, etc.  | {}.new(Scanner.s)
#                   | s, c, i, iN, uN     | Scanner.{}
#                   | f, big_i, etc.      | Scanner.s.to_{}
# Call []           | type[size]          | Array.new(input(size)) { input(type) }
# TupleLiteral      | {t1, t2, t3}        | {input(t1), input(t2), input(t3)}
# ArrayLiteral      | [t1, t2, t3]        | [input(t1), input(t2), input(t3)]
# HashLiteral       | {t1 => t2}          | {input(t1) => input(t2)}
# NamedTupleLiteral | {a: t1, b: t2}      | {a: input(t1), b: input(t2)}
# RangeLiteral      | t1..t2              | input(t1)..input(t2)
# Expressions       | (exp1; exp2)        | (input(exp1); input(exp2);)
# If                | cond ? t1 : t2      | input(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, 5i64}
# input(String, Char[m])     # => {"foo", ['b', 'a', 'r']}
# input(Int32[n])            # => [1, 2, 3, 4, 5]
# ```
# ```
# n, m = input(i, i64) # => {5, 5i64}
# 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}]
# ```
#
# Input:
# ```plain
# 3
# 1 1
# 2 1 2
# 5 1 2 3 4 5
# ```
# ```
# n = input(i)   # => 3
# input(i[i][n]) # => [[1], [1, 2], [1, 2, 3, 4, 5]]
# ```
#
# Input:
# ```plain
# 3
# 1 2
# 2 3
# 3 1
# ```
# ```
# n = input(i)
# input_column({Int32, Int32}, n) # => {[1, 2, 3], [2, 3, 1]}
# ```
macro input(ast, *, io = STDIN)
  {% if ast.is_a?(Call) %}
    {% if ast.receiver.is_a?(Nop) %}
      internal_input(
        {{ast.name}},
        {{ast.name}}({% for argument in ast.args %} input({{argument}}, io: {{io}}), {% end %}),
        {{io}},
      )
    {% elsif ast.receiver.is_a?(Path) && ast.receiver.resolve.class.has_method?(ast.name.symbolize) %}
      {{ast.receiver}}.{{ast.name}}(
        {% for argument in ast.args %} input({{argument}}, io: {{io}}) {% end %}
      ) {{ast.block}}
    {% elsif ast.name.stringify == "[]" %}
      internal_input_array({{ast.receiver}}, {{ast.args}}, {{io}})
    {% else %}
      input({{ast.receiver}}, io: {{io}}).{{ast.name}}(
        {% for argument in ast.args %} input({{argument}}, io: {{io}}), {% end %}
      ) {{ast.block}}
    {% end %}
  {% elsif ast.is_a?(TupleLiteral) %}
    { {% for i in 0...ast.size %} input({{ast[i]}}, io: {{io}}), {% end %} }
  {% elsif ast.is_a?(ArrayLiteral) %}
    [ {% for i in 0...ast.size %} input({{ast[i]}}, io: {{io}}), {% end %} ]
  {% elsif ast.is_a?(HashLiteral) %}
    { {% for key, value in ast %} input({{key}}, io: {{io}}) => input({{value}}, io: {{io}}), {% end %} }
  {% elsif ast.is_a?(NamedTupleLiteral) %}
    { {% for key, value in ast %} {{key}}: input({{value}}, io: {{io}}), {% end %} }
  {% elsif ast.is_a?(RangeLiteral) %}
    Range.new(
      input({{ast.begin}}, io: {{io}}),
      input({{ast.end}}, io: {{io}}),
      {{ast.excludes_end?}},
    )
  {% elsif ast.is_a?(SymbolLiteral) %}
    {{ast.id}}
  {% elsif ast.is_a?(Expressions) %}
    ( {% for exp in ast.expressions %} input({{exp}}, io: {{io}}); {% end %} )
  {% elsif ast.is_a?(If) %}
    input({{ast.cond}}, io: {{io}}) ? input({{ast.then}}, io: {{io}}) : input({{ast.else}}, io: {{io}})
  {% elsif ast.is_a?(Assign) %}
    {{ast.target}} = input({{ast.value}}, io: {{io}})
  {% else %}
    internal_input({{ast}}, {{ast}}, io: {{io}})
  {% end %}
end

macro input(*asts, io = STDIN)
  { {% for ast in asts %} input({{ast}}, io: {{io}}), {% end %} }
end

macro input_column(types, size, *, io = STDIN)
  %size = {{size}}
  {% for type, i in types %}
    %array{i} = Array({{type}}).new(%size)
  {% end %}
  %size.times do
    {% for type, i in types %}
      %array{i} << input({{type}}, io: {{io}})
    {% end %}
  end
  { {% for type, i in types %} %array{i}, {% end %} }
end

h, w, n, m = input(i, i, i, i)
tulra = input({i, i, i, i, i}[n])

imos = Imos2D(Int64).new(h, w)
m.times do
  x, y, b, c = read_line.split.map(&.to_i)
  x_range = {x - 1 - b, 0}.max...{x + b, h}.min
  y_range = {y - 1 - b, 0}.max...{y + b, w}.min
  imos.add(x_range, y_range, c.to_i64)
end
imos.build
sum = CulSum2D(Int64).new(h, w) { |i, j| imos[i, j] }

puts tulra.count { |(t, u, l, r, a)|
  sum[t - 1...u, l - 1...r] < a
}
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