結果
| 問題 |
No.1641 Tree Xor Query
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2021-08-06 22:00:57 |
| 言語 | Crystal (1.14.0) |
| 結果 |
AC
|
| 実行時間 | 273 ms / 5,000 ms |
| コード長 | 10,540 bytes |
| コンパイル時間 | 13,670 ms |
| コンパイル使用メモリ | 305,080 KB |
| 実行使用メモリ | 32,968 KB |
| 最終ジャッジ日時 | 2024-09-17 01:59:19 |
| 合計ジャッジ時間 | 15,621 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge6 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 18 |
コンパイルメッセージ
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42 | { {{ *(1..i).map { |j| "get(k#{j})".id } }} }
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:41:19
41 | def get({{ *(1..i).map { |j| "k#{j}".id } }})
^
Warning: Deprecated use of splat operator. Use `#splat` instead
In Main.cr:42:15
42
ソースコード
def solve(io)
n, q = io.get2
c = io.get_a(n)
g = Graph.new(n)
(n - 1).times do
ai, bi = io.get2; ai -= 1; bi -= 1;
g.add_edge_b(ai, bi)
end
t = g.tree(0)
et = t.euler_tour
st = SegmentTree(Int32).new(et.path.size) { |a, b| a ^ b }
n.times do |i|
st[et.in_time[i]] = c[i]
end
q.times do
ti, xi, yi = io.get3; xi -= 1
case ti
when 1
st[et.in_time[xi]] ^= yi
when 2
io.put st[et.in_time[xi]..et.out_time[xi]]
end
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 : Int64.class); get_token.to_i64; end
private def get_v(k : UInt32.class); get_token.to_u32; 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 SegmentTree(T)
def initialize(@n : Int32, @init : T = T.zero, &@compose : (T, T) -> T)
@an = 1 << (@n - 1).bit_length
@buf = Array.new(@an << 1, @init)
init_propagate
end
def initialize(b : Array(T), @init : T = T.zero, &@compose : (T, T) -> T)
@n = b.size
@an = 1 << (@n - 1).bit_length
@buf = Array.new(@an << 1, @init)
@buf[@an, @n] = b
init_propagate
end
def [](i : Int)
@buf[i + @an]
end
def [](start : Int, count : Int)
l, r = start + @an, start + count + @an
r1 = r2 = @init
while l != r
if l.odd?
r1 = @compose.call(r1, @buf[l])
l += 1
end
if r.odd?
r -= 1
r2 = @compose.call(@buf[r], r2)
end
l >>= 1
r >>= 1
end
@compose.call(r1, r2)
end
def [](r : Range)
sc = Indexable.range_to_index_and_count(r, @n)
raise ArgumentError.new("Invalid range") if sc.nil?
self[*sc]
end
def []=(i : Int, v : T)
@buf[i + @an] = v
propagate(i + @an)
end
@an : Int32
@buf : Array(T)
private def init_propagate
(1...@an).reverse_each do |i|
@buf[i] = @compose.call(@buf[i << 1], @buf[i << 1 | 1])
end
end
private def propagate(i : Int)
while (i >>= 1) > 0
@buf[i] = @compose.call(@buf[i << 1], @buf[i << 1 | 1])
end
end
end
require "bit_array"
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 = BitArray.new(@size)
yield u, -1
b[u] = true
q = Deque.new([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
@descendant_size = Array.new(size, 1)
@dfs_order.reverse_each do |u|
@descendant_size[@parent[u]] += @descendant_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 descendant_size : Array(Int32)
end
class Graph
def tree(root)
Tree.new(self, root)
end
end
class EulerTour
alias Node = Graph::Node
def initialize(t : Tree)
@path = [] of Node
@in_time = Array.new(t.size, 0)
@out_time = Array.new(t.size, 0)
s = [~t.root, t.root]
c = -1
until s.empty?
u = s.pop
c += 1
if u < 0
@path << ~u
@out_time[~u] = c
else
@path << u
@in_time[u] = c
children = t.children[u]
children.each_with_index do |v, i|
s.push(~v)
s.push(v)
s.push(~u) if i < children.size - 1
end
end
end
end
getter path : Array(Node)
getter in_time : Array(Int32)
getter out_time : Array(Int32)
end
class Tree
def euler_tour
EulerTour.new(self)
end
end
solve(ProconIO.new)