# require "/template" # 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}] # ``` # # Input: # ```plain # 3 # 1 2 # 2 3 # 3 1 # ``` # ``` # n = input(i) # input_column({Int32, Int32}, n) # => {[1, 2, 3], [2, 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(type, else_ast) {% if Scanner.class.has_method?(type.id) %} Scanner.{{type.id}} {% elsif type.stringify == "String" %} Scanner.s {% elsif type.stringify == "Char" %} Scanner.c {% elsif type.stringify =~ /[A-Z][a-z0-9_]*/ %} {{type.id}}.new(Scanner.s) {% elsif String.has_method?("to_#{type}".id) %} Scanner.s.to_{{type.id}} {% else %} {{else_ast}} {% end %} end macro internal_input_array(type, 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({{type.id}}) {% for i in 0...args.size %} } {% end %} {% end %} end macro input(type) {% if type.is_a?(Call) %} {% if type.receiver.is_a?(Nop) %} internal_input( {{type.name}}, {{type.name}}( {% for argument in type.args %} input({{argument}}), {% end %} ) ) {% elsif type.name.stringify == "[]" %} internal_input_array({{type.receiver}}, {{type.args}}) {% else %} input({{type.receiver}}).{{type.name.id}}( {% for argument in type.args %} input({{argument}}), {% end %} ) {{type.block}} {% end %} {% elsif type.is_a?(TupleLiteral) %} { {% for i in 0...type.size %} input({{type[i]}}), {% end %} } {% elsif type.is_a?(ArrayLiteral) %} [ {% for i in 0...type.size %} input({{type[i]}}), {% end %} ] {% elsif type.is_a?(RangeLiteral) %} Range.new(input({{type.begin}}), input({{type.end}}), {{type.excludes_end?}}) {% elsif type.is_a?(If) %} {{type.cond}} ? input({{type.then}}) : input({{type.else}}) {% elsif type.is_a?(Assign) %} {{type.target}} = input({{type.value}}) {% else %} internal_input({{type.id}}, {{type.id}}) {% end %} end macro input(*types) { {% for type in types %} input({{type}}), {% end %} } end macro input_column(types, 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}}) {% end %} end { {% for type, i in types %} %array{i}, {% end %} } end # require "./tuple/times" struct Tuple def times(&block) : Nil {% begin %} {% for i in 0...@type.size %} {% if @type[i].has_method?(:each) %} self[{{i}}].each do |i{{i}}| {% else %} self[{{i}}].times do |i{{i}}| {% end %} {% end %} yield({% for i in 0...@type.size %} i{{i}}, {% end %}) {% for i in 0...@type.size %} end {% end %} {% end %} end private class TimesIterator(T) include Iterator(T) def initialize(@n : T) tuple = {% begin %} { {% for i in 0...T.size %} T[{{i}}].zero, {% end %} } {% end %} @index = tuple.as(T) @first = true end def next if @first @first = false return @index end {% begin %} {% type = @type.type_vars[0] size = type.size %} {% for i in 1..size %} if @index[{{size - i}}] < @n[{{size - i}}] - 1 @index = { {% for j in 0...size %} {% if j < size - i %} @index[{{j}}], {% elsif j == size - i %} @index[{{j}}] + 1, {% else %} {{type[j]}}.zero, {% end %} {% end %} } return @index end {% end %} stop {% end %} end end def times TimesIterator(self).new(self) end end # require "./comparable/min_max" module Comparable(T) def min(x : T) self > x ? x : self end def max(x : T) self < x ? x : self end end # require "./array/new" class Array def self.new(sizes : Tuple(*T), initial_value) forall T {% begin %} {% for i in 0...T.size %} Array.new(sizes[{{i}}]) { {% end %} initial_value {% for i in 0...T.size %} } {% end %} {% end %} end def self.new(sizes : Tuple(*T), &block) forall T {% begin %} {% for i in 0...T.size %} Array.new(sizes[{{i}}]) { |index{{i}}| {% end %} yield({% for i in 0...T.size %} index{{i}}, {% end %}) {% for i in 0...T.size %} } {% end %} {% end %} end end # require "./array/change" class Array(T) def chmin(i : Int, value : T) (self[i] > value).tap do |f| self[i] = value if f end end protected def chmin(i : Int, *indexes, value) self[i].chmin(*indexes, value: value) end def chmin(indexes : Tuple, value) chmin(*indexes, value: value) end def chmax(i : Int, value : T) (self[i] < value).tap do |f| self[i] = value if f end end protected def chmax(i : Int, *indexes, value) self[i].chmax(*indexes, value: value) end def chmax(indexes : Tuple, value) chmax(*indexes, value: value) end end # require "/point" struct Point include Comparable(Point) extend Indexable(Point) property y : Int32, x : Int32 Direction4 = [Point.up, Point.left, Point.down, Point.right] Direction8 = Direction4 + [Point.ul, Point.ur, Point.dl, Point.dr] class_getter! height : Int32, width : Int32 def self.set_range(height : Int32, width : Int32) raise ArgumentError.new unless 0 < height && 0 < width @@height, @@width = height, width end def self.size height * width end def self.unsafe_fetch(index : Int) Point.new(index // Point.width, index % Point.width) end def self.each(h : Int, w : Int, &block) h.times do |y| w.times do |x| yield Point[y, x] end end end def self.each(y : Int, w : Int) size.times.map { |i| Point.new(i) } end def initialize @y, @x = 0, 0 end def initialize(@y : Int32, @x : Int32) end def initialize(i : Int32) raise ArgumentError.new unless 0 <= i && i < Point.size @y, @x = i // Point.width, i % Point.width end def self.from(array : Array(Int32)) : self raise ArgumentError.new unless array.size == 2 Point.new(array.unsafe_fetch(0), array.unsafe_fetch(1)) end def self.[](y : Int32, x : Int32) : self Point.new(y, x) end private macro define_direction(name, dy, dx) def self.{{name}} Point.new({{dy}}, {{dx}}) end def {{name}} Point.new(y + {{dy}}, x + {{dx}}) end def {{name}}! @y += {{dy}} @x += {{dx}} self end end define_direction(zero, 0, 0) define_direction(up, -1, 0) define_direction(left, 0, -1) define_direction(down, 1, 0) define_direction(right, 0, 1) define_direction(ul, -1, -1) define_direction(ur, -1, 1) define_direction(dl, 1, -1) define_direction(dr, 1, 1) {% for op in %w[+ - * // %] %} def {{op.id}}(other : Point) Point.new(y {{op.id}} other.y, x {{op.id}} other.x) end def {{op.id}}(other : Int32) Point.new(y {{op.id}} other, x {{op.id}} other) end {% end %} def xy Point.new(x, y) end def yx self end def ==(other : Point) x == other.x && y == other.y end def <=>(other : Point) to_i <=> other.to_i end def [](i : Int32) return y if i == 0 return x if i == 1 raise IndexError.new end def succ raise IndexError.new unless in_range? && self != Point.last if x < Point.width - 1 Point.new(y, x + 1) else Point.new(y + 1, 0) end end def pred raise IndexError.new unless in_range? && self != Point.first if x > 0 Point.new(y, x - 1) else Point.new(y - 1, Point.width - 1) end end def in_range? (0...Point.height).includes?(y) && (0...Point.width).includes?(x) end def to_i : Int32 raise IndexError.new unless in_range? y * Point.width + x end def distance_square(other : Point) (y - other.y) ** 2 + (x - other.x) ** 2 end def distance(other : Point) Math.sqrt(distance_square(other)) end def manhattan(other : Point) (y - other.y).abs + (x - other.x).abs end def chebyshev(other : Point) Math.max((y - other.y).abs, (x - other.x).abs) end {% for i in [4, 8] %} def adjacent{{i}}(&block) : Nil Direction{{i}}.each do |d| yield self + d end end def adjacent{{i}} Direction{{i}}.each.map { |p| self + p } end def adj{{i}}_in_range(&block) : Nil Direction{{i}}.each do |d| point = self + d yield point if point.in_range? end end def adj{{i}}_in_range adjacent{{i}}.select(&.in_range?) end {% end %} def to_s(io : IO) : Nil io << '(' << y << ", " << x << ')' end def inspect(io : IO) : Nil to_s(io) end def to_direction_char?(lrud = "LRUD") : Char? if y == 0 && x != 0 x < 0 ? lrud[0] : lrud[1] elsif x == 0 && y != 0 y < 0 ? lrud[2] : lrud[3] end end def self.to_direction?(c : Char, lrud = "LRUD") raise ArgumentError.new unless lrud.size == 4 lrud.index(c).try { |i| {left, right, up, down}[i] } end def self.to_direction?(s : String, lrud = "LRUD") case s.size when 1 to_direction?(s[0], lrud) when 2 p1 = to_direction?(s[0], lrud) || return nil p2 = to_direction?(s[1], lrud) || return nil return nil unless p1.x ^ p2.x != 0 && p1.y ^ p2.y != 0 p1 + p2 end end end module Indexable(T) private def check_index_out_of_bounds(point : Point) check_index_out_of_bounds(point) { raise IndexError.new } end private def check_index_out_of_bounds(point : Point) if 0 <= point.y < size && 0 <= point.x < unsafe_fetch(point.y).size point else yield end end def fetch(point : Point) point = check_index_out_of_bounds(point) do return yield point end unsafe_fetch(point.y)[point.x] end def [](point : Point) fetch(point) { raise IndexError.new } end def []?(point : Point) fetch(point, nil) end end class Array(T) def []=(point : Point, value) index = check_index_out_of_bounds point @buffer[index.y][index.x] = value end end def generate_odd(n) a = Array.new({n, n}, nil.as(Int32?)) p = Point[0, n // 2] k = 0 loop do a[p %= n] = (k += 1) if a[p.ur % n].nil? p.ur! elsif a[p.down % n].nil? p.down! else break end end a.map &.map &.not_nil! end def generate_4x(n) a = Array.new({n, n}, nil.as(Int32?)) Point.each do |p| p2 = p % 4 if p2.x == p2.y || (p2.x + p2.y) == 3 a[p] = p.to_i + 1 end end Point.reverse_each do |p| if a[p].nil? a[p] = n * n - p.to_i end end a.map &.map &.not_nil! end LUX = [ [[4, 1], [2, 3]], [[1, 4], [2, 3]], [[1, 4], [3, 2]], ] def generate_4x2(n) k = n // 4 m = k * 2 + 1 b = generate_odd(m).map &.map { |x| x.pred * 4 } a = Array.new({n, n}, 0) Point.each(m, m) do |p| index = if p.y <= k && p == Point[k, k] || p == Point[k + 1, k] 0 elsif p.y <= k + 1 1 else 2 end {Point.zero, Point.right, Point.down, Point.dr}.each do |d| a[p * 2 + d] = LUX[index][d] + b[p] end end a end n = input(i) Point.set_range(n, n) ans = if n.odd? generate_odd(n) elsif n % 4 == 0 generate_4x(n) else generate_4x2(n) end puts ans.join('\n', &.join(' '))