結果

問題 No.898 tri-βutree
ユーザー te-shte-sh
提出日時 2021-08-12 18:59:32
言語 Crystal
(1.11.2)
結果
AC  
実行時間 332 ms / 4,000 ms
コード長 9,375 bytes
コンパイル時間 15,221 ms
コンパイル使用メモリ 307,068 KB
実行使用メモリ 30,184 KB
最終ジャッジ日時 2024-04-09 22:55:14
合計ジャッジ時間 21,319 ms
ジャッジサーバーID
（参考情報） 		judge3 / 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 231 ms
24,804 KB
testcase_01 AC 1 ms
6,812 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,944 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 324 ms
26,976 KB
testcase_08 AC 325 ms
27,028 KB
testcase_09 AC 323 ms
29,288 KB
testcase_10 AC 316 ms
30,148 KB
testcase_11 AC 321 ms
30,068 KB
testcase_12 AC 332 ms
30,184 KB
testcase_13 AC 322 ms
30,064 KB
testcase_14 AC 326 ms
30,080 KB
testcase_15 AC 314 ms
26,888 KB
testcase_16 AC 310 ms
30,112 KB
testcase_17 AC 327 ms
29,512 KB
testcase_18 AC 318 ms
30,084 KB
testcase_19 AC 314 ms
30,140 KB
testcase_20 AC 314 ms
30,144 KB
testcase_21 AC 315 ms
29,616 KB
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コンパイルメッセージ
In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

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

In Main.cr:45:19

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

In Main.cr:46:15

 46

ソースコード

diff # 

def solve(io)
  n = io.get
  u, v, w = io.get3_c(n - 1); u.map!(&.- 1); v.map!(&.- 1)

  g = Graph.new(n)
  zip(u, v) do |ui, vi|
    g.add_edge_b(ui, vi)
  end
  t = g.tree(0)

  pw = Array.new(n, 0)
  zip(u, v, w) do |ui, vi, wi|
    if t.depth[ui] < t.depth[vi]
      pw[vi] = wi
    else
      pw[ui] = wi
    end
  end

  sw = Array.new(n, 0_i64)
  t.dfs_order.each do |ui|
    sw[ui] = sw[t.parent[ui]] + pw[ui] unless ui == 0
  end

  hd = t.hl_decomposition
  q = io.get
  q.times do
    xi, yi, zi = io.get3; xi -= 1; yi -= 1; zi -= 1
    io.put sw[xi] + sw[yi] + sw[zi] - sw[hd.lca(xi, yi)] - sw[hd.lca(yi, zi)] - sw[hd.lca(zi, xi)]
  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 : UInt32.class); get_token.to_u32; end
  private def get_v(k : Int64.class); get_token.to_i64; 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", "0.35.0") < 0 %}
    def digits(base = 10)
      raise ArgumentError.new("Invalid base #{base}") if base < 2
      raise ArgumentError.new("Can't request digits of negative number") if self < 0
      return [0] if self == 0

      num = self
      digits_count = (Math.log(self.to_f + 1) / Math.log(base)).ceil.to_i
      ary = Array(Int32).new(digits_count)
      while num != 0
        ary << num.remainder(base).to_i
        num = num.tdiv(base)
      end
      ary
    end
  {% 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 Float64
  def near?(x)
    (self - x).abs <= (self.abs < x.abs ? x.abs : 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

module Math
  {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "1.2.0") < 0 %}
    def isqrt(value : Int::Primitive)
      raise ArgumentError.new "Input must be non-negative integer" if value < 0
      return value if value < 2
      res = value.class.zero
      bit = res.succ << (res.leading_zeros_count - 2)
      bit >>= value.leading_zeros_count & ~0x3
      while (bit != 0)
        if value >= res + bit
          value -= res + bit
          res = (res >> 1) + bit
        else
          res >>= 1
        end
        bit >>= 2
      end
      res
    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 Graph
  alias Node = Int32

  def initialize(@size : Node)
    @g = Array(Array(Node)).new(@size) { [] of Node }
  end

  getter size : Int32

  delegate :[], to: @g

  def add_edge(u : Node, v : Node)
    @g[u] << v
  end

  def add_edge_b(u : Node, v : Node)
    @g[u] << v
    @g[v] << u
  end

  def bfs(u : Node)
    b = Array.new(@size, false)
    yield u, -1
    b[u] = true
    q = Deque{u}
    until q.empty?
      v = q.shift
      @g[v].each do |w|
        next if b[w]
        yield w, v
        b[w] = true
        q.push(w)
      end
    end
  end
end

class GraphW(T)
  alias Node = Int32

  struct Edge(T)
    def initialize(@src : Node, @dst : Node, @wt : T)
    end

    getter src : Node, dst : Node

    getter wt : T
  end
      
  def initialize(@size : Node, @inf = 10**9)
    @g = Array(Array(Edge(T))).new(@size) { [] of Edge(T) }
  end

  getter size : Int32

  getter inf : T

  delegate :[], to: @g

  def add_edge(u : Node, v : Node, wt : T)
    @g[u] << Edge.new(u, v, wt)
  end

  def add_edge_b(u : Node, v : Node, wt : T)
    @g[u] << Edge.new(u, v, wt)
    @g[v] << Edge.new(v, u, wt)
  end
end

class GraphM(T)
  alias Node = Int32

  def initialize(@size : Int32, @inf = 10**9)
    @g = Array.new_md(@size, @size, @inf)
    @size.times do |i|
      @g[i][i] = T.zero
    end
  end

  getter size : Int32

  getter inf : T

  delegate :[], to: @g

  def add_edge(u : Node, v : Node, wt : T)
    @g[u][v] = wt
  end

  def add_edge_b(u : Node, v : Node, wt : T)
    @g[u][v] = @g[v][u] = wt
  end


  @g : Array(Array(T))
end

class Tree
  alias Node = Graph::Node

  def initialize(@g : Graph, @root : Node)
    size = @g.size
    @parent = Array.new(size, 0)
    @children = Array.new(size) { [] of Node }
    @depth = Array.new(size, -1)
    @dfs_order = [] of Node

    s = [{@root, @root}]
    until s.empty?
      u, p = s.pop

      @parent[u] = p
      @depth[u] = @depth[p] + 1
      @dfs_order << u

      @g[u].each do |v|
        if v != p
          @children[u] << v
          s.push({v, u})
        end
      end
    end

    @subtree_size = Array.new(size, 1)
    @dfs_order.reverse_each do |u|
      @subtree_size[@parent[u]] += @subtree_size[u] if u != @root
    end
  end

  delegate size, to: @g

  getter root : Node

  getter dfs_order : Array(Node)

  getter parent : Array(Node)

  getter children : Array(Array(Node))

  getter depth : Array(Int32)

  getter subtree_size : Array(Int32)
end

class Graph
  def tree(root)
    Tree.new(self, root)
  end
end

class HlDecomposition
  alias Node = Graph::Node

  def initialize(@t : Tree)
    @head = Array.new(@t.size, -1)
    st = Deque{ {@t.root, @t.root} }
    until st.empty?
      u, s = st.pop
      head[u] = s
      unless @t.children[u].empty?
        z = @t.children[u].max_by { |v| @t.subtree_size[v] }
        @t.children[u].each do |v|
          st.push({v, v == z ? s : v})
        end
      end
    end
  end

  getter head : Array(Node)

  def lca(u : Node, v : Node)
    while @head[u] != @head[v]
      if @t.depth[@head[u]] < @t.depth[@head[v]]
        v = @t.parent[@head[v]]
      else
        u = @t.parent[@head[u]]
      end
    end
    @t.depth[u] < @t.depth[v] ? u : v
  end
end

class Tree
  def hl_decomposition
    HlDecomposition.new(self)
  end
end

solve(ProconIO.new)
0