結果

問題 No.1638 Robot Maze
ユーザー yuruhiyayuruhiya
提出日時 2021-08-06 21:31:19
言語 Crystal
(1.11.2)
結果
AC  
実行時間 8 ms / 2,000 ms
コード長 22,491 bytes
コンパイル時間 14,186 ms
コンパイル使用メモリ 296,860 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-09-17 01:22:47
合計ジャッジ時間 15,764 ms
ジャッジサーバーID
(参考情報)
judge6 / judge2
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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,812 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 8 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 2 ms
6,944 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,944 KB
testcase_13 AC 2 ms
6,944 KB
testcase_14 AC 6 ms
6,940 KB
testcase_15 AC 4 ms
6,940 KB
testcase_16 AC 4 ms
6,940 KB
testcase_17 AC 5 ms
6,944 KB
testcase_18 AC 4 ms
6,944 KB
testcase_19 AC 5 ms
6,944 KB
testcase_20 AC 4 ms
6,944 KB
testcase_21 AC 4 ms
6,940 KB
testcase_22 AC 4 ms
6,940 KB
testcase_23 AC 4 ms
6,940 KB
testcase_24 AC 4 ms
6,940 KB
testcase_25 AC 4 ms
6,940 KB
testcase_26 AC 4 ms
6,940 KB
testcase_27 AC 4 ms
6,944 KB
testcase_28 AC 5 ms
6,944 KB
testcase_29 AC 5 ms
6,940 KB
testcase_30 AC 1 ms
6,940 KB
testcase_31 AC 2 ms
6,940 KB
testcase_32 AC 7 ms
6,944 KB
testcase_33 AC 8 ms
6,944 KB
testcase_34 AC 8 ms
6,940 KB
testcase_35 AC 8 ms
6,944 KB
testcase_36 AC 8 ms
6,940 KB
testcase_37 AC 7 ms
6,940 KB
testcase_38 AC 7 ms
6,944 KB
testcase_39 AC 8 ms
6,940 KB
testcase_40 AC 7 ms
6,940 KB
testcase_41 AC 8 ms
6,940 KB
testcase_42 AC 7 ms
6,944 KB
testcase_43 AC 8 ms
6,944 KB
testcase_44 AC 8 ms
6,940 KB
testcase_45 AC 8 ms
6,944 KB
testcase_46 AC 8 ms
6,940 KB
testcase_47 AC 8 ms
6,944 KB
testcase_48 AC 8 ms
6,944 KB
testcase_49 AC 7 ms
6,940 KB
testcase_50 AC 8 ms
6,940 KB
testcase_51 AC 8 ms
6,944 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

diff #

# 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}}]) { |%i{i}| {% end %}
      yield({% for i in 0...T.size %} %i{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 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
  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

# require "/graph/dijkstra"
# require "../../atcoder/src/PriorityQueue"
# ac-library.cr by hakatashi https://github.com/google/ac-library.cr
#
# Copyright 2021 Google LLC
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#      https://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

module AtCoder
  # Implements standard priority queue like [std::priority_queue](https://en.cppreference.com/w/cpp/container/priority_queue).
  #
  # ```
  # q = AtCoder::PriorityQueue(Int64).new
  # q << 1_i64
  # q << 3_i64
  # q << 2_i64
  # q.pop # => 3
  # q.pop # => 2
  # q.pop # => 1
  # ```
  class PriorityQueue(T)
    getter heap : Array(T)

    def initialize
      initialize { |a, b| a <= b }
    end

    # Initializes queue with the custom comperator.
    #
    # If the second argument `b` should be popped earlier than
    # the first argument `a`, return `true`. Else, return `false`.
    #
    # ```
    # q = AtCoder::PriorityQueue(Int64).new { |a, b| a >= b }
    # q << 1_i64
    # q << 3_i64
    # q << 2_i64
    # q.pop # => 1
    # q.pop # => 2
    # q.pop # => 3
    # ```
    def initialize(&block : T, T -> Bool)
      @heap = Array(T).new
      @compare_proc = block
    end

    # Pushes value into the queue.
    def push(v : T)
      @heap << v
      index = @heap.size - 1
      while index != 0
        parent = (index - 1) // 2
        if @compare_proc.call(@heap[index], @heap[parent])
          break
        end
        @heap[parent], @heap[index] = @heap[index], @heap[parent]
        index = parent
      end
    end

    # Alias of `push`
    def <<(v : T)
      push(v)
    end

    # Pops value from the queue.
    def pop
      if @heap.size == 0
        return nil
      end
      if @heap.size == 1
        return @heap.pop
      end
      ret = @heap.first
      @heap[0] = @heap.pop
      index = 0
      while index * 2 + 1 < @heap.size
        child = if index * 2 + 2 < @heap.size && !@compare_proc.call(@heap[index * 2 + 2], @heap[index * 2 + 1])
                  index * 2 + 2
                else
                  index * 2 + 1
                end
        if @compare_proc.call(@heap[child], @heap[index])
          break
        end
        @heap[child], @heap[index] = @heap[index], @heap[child]
        index = child
      end
      ret
    end

    # Returns `true` if the queue is empty.
    delegate :empty?, to: @heap

    # Returns size of the queue.
    delegate :size, to: @heap
  end
end

# require "../graph"
# require "./graph/edge"
struct WeightedEdge(T)
  include Comparable(WeightedEdge(T))

  property to : Int32, cost : T

  def initialize(@to, @cost : T)
  end

  def <=>(other : WeightedEdge(T))
    {cost, to} <=> {other.cost, other.to}
  end

  def to_s(io) : Nil
    io << '(' << to << ", " << cost << ')'
  end

  def inspect(io) : Nil
    io << "->#{to}(#{cost})"
  end
end

struct WeightedEdge2(T)
  include Comparable(WeightedEdge2(T))

  property from : Int32, to : Int32, cost : T

  def initialize(@from, @to, @cost : T)
  end

  def initialize(@from, edge : WeightedEdge(T))
    @to, @cost = edge.to, edge.cost
  end

  def <=>(other : WeightedEdge2(T))
    {cost, from, to} <=> {other.cost, other.from, other.to}
  end

  def reverse
    WeightedEdge2(T).new(to, from, cost)
  end

  def sort
    WeightedEdge2(T).new(*{to, from}.minmax, cost)
  end

  def to_s(io) : Nil
    io << '(' << from << ", " << to << ", " << cost << ')'
  end

  def inspect(io) : Nil
    io << from << "->" << to << '(' << cost << ')'
  end
end

struct UnweightedEdge
  property to : Int32

  def initialize(@to)
  end

  def cost
    1
  end

  def to_s(io) : Nil
    io << to
  end

  def inspect(io) : Nil
    io << "->" << to
  end
end

struct UnweightedEdge2
  property from : Int32, to : Int32

  def initialize(@from, @to)
  end

  def initialize(@from, edge : UnweightedEdge)
    @to = edge.to
  end

  def cost
    1
  end

  def reverse
    UnweightedEdge2.new(to, from)
  end

  def sort
    UnweightedEdge2.new(*{to, from}.minmax)
  end

  def to_s(io) : Nil
    io << '(' << from << ", " << to << ')'
  end

  def inspect(io) : Nil
    io << from << "->" << to
  end
end

module Graph(Edge, Edge2)
  include Enumerable(Edge2)

  getter graph : Array(Array(Edge))

  def initialize(size : Int)
    @graph = Array(Array(Edge)).new(size) { [] of Edge }
  end

  def initialize(size : Int, edges : Enumerable)
    initialize(size)
    add_edges(edges)
  end

  # Add *edge*.
  abstract def <<(edge : Edge2)

  # :ditto:
  def <<(edge : Tuple)
    self << Edge2.new(*edge)
  end

  def add_edges(edges : Enumerable)
    edges.each { |edge| self << edge }
  end

  delegate size, to: @graph
  delegate :[], to: @graph

  # Yields each edge of the graph, ans returns `nil`.
  def each(&) : Nil
    (0...size).each do |v|
      self[v].each do |edge|
        yield Edge2.new(v, edge)
      end
    end
  end

  def reverse
    if self.class.directed?
      each_with_object(self.class.new(size)) do |edge, reversed|
        reversed << edge.reverse
      end
    else
      dup
    end
  end

  def to_undirected
    if self.class.directed?
      each_with_object(self.class.new(size)) do |edge, graph|
        graph << edge
        graph << edge.reverse if self.class.directed?
      end
    else
      dup
    end
  end

  def to_s(io : IO) : Nil
    io << '['
    join(", ", io) do |edge, io|
      edge.inspect io
    end
    io << ']'
  end

  def inspect(io : IO) : Nil
    to_s(io)
  end
end

class DirectedGraph(T)
  include Graph(WeightedEdge(T), WeightedEdge2(T))

  def initialize(size : Int)
    super
  end

  def initialize(size : Int, edges : Enumerable(WeightedEdge2(T)))
    super
  end

  def initialize(size : Int, edges : Enumerable({Int32, Int32, T}))
    super
  end

  def <<(edge : WeightedEdge2(T))
    raise IndexError.new unless 0 <= edge.from < size && 0 <= edge.to < size
    @graph[edge.from] << WeightedEdge.new(edge.to, edge.cost)
    self
  end

  def self.weighted?
    true
  end

  def self.directed?
    true
  end
end

class UndirectedGraph(T)
  include Graph(WeightedEdge(T), WeightedEdge2(T))

  def initialize(size : Int)
    super
  end

  def initialize(size : Int, edges : Enumerable(WeightedEdge2(T)))
    super
  end

  def initialize(size : Int, edges : Enumerable({Int32, Int32, T}))
    super
  end

  def <<(edge : WeightedEdge2(T))
    raise IndexError.new unless 0 <= edge.from < size && 0 <= edge.to < size
    @graph[edge.from] << WeightedEdge.new(edge.to, edge.cost)
    @graph[edge.to] << WeightedEdge.new(edge.from, edge.cost)
    self
  end

  def self.weighted?
    true
  end

  def self.directed?
    false
  end
end

class UnweightedDirectedGraph
  include Graph(UnweightedEdge, UnweightedEdge2)

  def initialize(size : Int)
    super
  end

  def initialize(size : Int, edges : Enumerable)
    super
  end

  def <<(edge : UnweightedEdge2)
    raise IndexError.new unless 0 <= edge.from < size && 0 <= edge.to < size
    @graph[edge.from] << UnweightedEdge.new(edge.to)
    self
  end

  def self.weighted?
    false
  end

  def self.directed?
    true
  end
end

class UnweightedUndirectedGraph
  include Graph(UnweightedEdge, UnweightedEdge2)

  def initialize(size : Int)
    super
  end

  def initialize(size : Int, edges : Enumerable)
    super
  end

  def <<(edge : UnweightedEdge2)
    raise IndexError.new unless 0 <= edge.from < size && 0 <= edge.to < size
    @graph[edge.from] << UnweightedEdge.new(edge.to)
    @graph[edge.to] << UnweightedEdge.new(edge.from)
    self
  end

  def each_child(vertex : Int, parent, &block) : Nil
    graph[vertex].each do |u|
      yield u if u != parent
    end
  end

  def each_child(vertex : Int, parent)
    graph[vertex].each.select { |u| u != parent }
  end

  def self.weighted?
    false
  end

  def self.directed?
    false
  end
end

module Graph(Edge, Edge2)
  # Returns the array of distance of each node from *start* or `nil`.
  def dijkstra(start : Int32)
    raise ArgumentError.new unless 0 <= start < size
    que = AtCoder::PriorityQueue({Int32, typeof(first.cost)}).new { |(v1, d1), (v2, d2)| d1 > d2 }
    que << {start, typeof(first.cost).zero}
    dist = Array(typeof(first.cost)?).new(size, nil)
    dist[start] = typeof(first.cost).zero

    while vd = que.pop
      v, d = vd
      next if dist[v].try { |dist_v| dist_v < d }
      current_dist = dist[v].not_nil!
      graph[v].each do |edge|
        next_dist = current_dist + edge.cost
        if dist[edge.to].nil? || dist[edge.to].not_nil! > next_dist
          dist[edge.to] = next_dist
          que << {edge.to, next_dist}
        end
      end
    end
    dist
  end

  # Returns the array of distance of each node from *start*.
  def dijkstra!(start : Int32)
    dijkstra(start).map(&.not_nil!)
  end
end

h, w = input(i, i)
u, d, r, l, k, p = input(i64, i64, i64, i64, i64, i64)
start, goal = input({i - 1, i - 1}, {i - 1, i - 1})
start, goal = Point[*start], Point[*goal]
s = input(String[h])
Point.set_range(h, w)
dir_to_cost = {'U' => u, 'D' => d, 'R' => r, 'L' => l}

g = DirectedGraph(Int64).new h * w
Point.each do |point|
  next if s[point] == '#'
  point.adj4_in_range do |adj|
    cost = dir_to_cost[(adj - point).to_direction_char?.not_nil!]
    case s[adj]
    when '.'
      g << {point.to_i, adj.to_i, cost}
    when '@'
      g << {point.to_i, adj.to_i, cost + p}
    end
  end
end
puts (g.dijkstra(start.to_i)[goal.to_i] || 10i64**18) <= k ? "Yes" : "No"
0