結果
| 問題 |
No.1576 織姫と彦星
|
| ユーザー |
yuruhiya
|
| 提出日時 | 2021-06-29 20:29:12 |
| 言語 | Crystal (1.14.0) |
| 結果 |
AC
|
| 実行時間 | 3 ms / 2,000 ms |
| コード長 | 5,767 bytes |
| コンパイル時間 | 13,774 ms |
| コンパイル使用メモリ | 295,456 KB |
| 実行使用メモリ | 6,948 KB |
| 最終ジャッジ日時 | 2024-06-25 22:54:39 |
| 合計ジャッジ時間 | 12,396 ms |
|
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 5 |
| other | AC * 54 |
ソースコード
# require "/graph/bfs"
# require "./graph"
struct Edge(T)
include Comparable(Edge(T))
property to : Int32
property cost : T
def initialize(@to : Int32, @cost : T)
end
def <=>(other : Edge(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 Edge2(T)
include Comparable(Edge2(T))
property from : Int32
property to : Int32
property cost : T
def initialize(@from : Int32, @to : Int32, @cost : T)
end
def <=>(other : Edge2(T))
{cost, from, to} <=> {other.cost, other.from, other.to}
end
def reverse
Edge2(T).new(to, from, cost)
end
def to_s(io) : Nil
io << '(' << from << ", " << to << ", " << cost << ')'
end
def inspect(io) : Nil
io << "#{from}->#{to}(#{cost})"
end
end
struct UnweightedEdge2
property from : Int32
property to : Int32
def initialize(@from, @to)
end
def reverse
UnweightedEdge2.new(to, from)
end
def to_s(io) : Nil
io << '(' << from << ", " << to << ')'
end
def inspect(io) : Nil
io << "#{from}->#{to}"
end
end
abstract class Graph(T)
getter graph : Array(Array(Edge(T)))
def initialize(size : Int)
raise ArgumentError.new("Negative graph size: #{size}") unless size >= 0
@graph = Array.new(size) { Array(Edge(T)).new }
end
def add_edge(i : Int32, j : Int32, cost : T)
add_edge(Edge2.new(i, j, cost))
end
def add_edges(edges : Array(Edge2(T)))
edges.each { |edge| add_edge(edge) }
self
end
delegate size, to: @graph
delegate :[], to: @graph
def each_edge : Nil
(0...size).each do |v|
graph[v].each do |edge|
yield Edge2(T).new(v, edge.to, edge.cost)
end
end
end
def edges
result = [] of Edge2(T)
each_edge do |edge|
result << edge
end
result
end
end
class DirectedGraph(T) < Graph(T)
def initialize(size : Int)
super
end
def initialize(size : Int, edges : Array(Edge2(T)))
super(size)
add_edges(edges)
end
def add_edge(edge : Edge2(T))
raise IndexError.new unless 0 <= edge.from < size
raise IndexError.new unless 0 <= edge.to < size
@graph[edge.from] << Edge.new(edge.to, edge.cost)
self
end
end
class UndirectedGraph(T) < Graph(T)
def initialize(size : Int)
super
end
def initialize(size : Int, edges : Array(Edge2(T)))
super(size)
add_edges(edges)
end
def add_edge(edge : Edge2(T))
raise IndexError.new unless 0 <= edge.from < size
raise IndexError.new unless 0 <= edge.to < size
@graph[edge.from] << Edge.new(edge.to, edge.cost)
@graph[edge.to] << Edge.new(edge.from, edge.cost)
self
end
end
abstract class UnweightedGraph
getter graph : Array(Array(Int32))
def initialize(size : Int)
raise ArgumentError.new("Negative graph size: #{size}") unless size >= 0
@graph = Array.new(size) { Array(Int32).new }
end
def add_edge(i : Int32, j : Int32)
add_edge(UnweightedEdge2.new(i, j))
end
def add_edges(edges : Array(UnweightedEdge2))
edges.each { |edge| add_edge(edge) }
self
end
delegate size, to: @graph
delegate :[], to: @graph
def each_edge : Nil
(0...size).each do |v|
graph[v].each do |u|
yield UnweightedEdge2.new(v, u)
end
end
end
def edges
result = [] of UnweightedEdge2
each_edge do |edge|
result << edge
end
result
end
end
class UnweightedDirectedGraph < UnweightedGraph
def initialize(size : Int)
super
end
def initialize(size : Int, edges : Array(UnweightedEdge2))
super(size)
add_edges(edges)
end
def add_edge(edge : UnweightedEdge2)
raise IndexError.new unless 0 <= edge.from < size
raise IndexError.new unless 0 <= edge.to < size
@graph[edge.from] << edge.to
self
end
end
class UnweightedUndirectedGraph < UnweightedGraph
def initialize(size : Int)
super
end
def initialize(size : Int, edges : Array(UnweightedEdge2))
super(size)
add_edges(edges)
end
def add_edge(edge : UnweightedEdge2)
raise IndexError.new unless 0 <= edge.from < size
raise IndexError.new unless 0 <= edge.to < size
@graph[edge.from] << edge.to
@graph[edge.to] << edge.from
self
end
def each_child(vertex : Int, parent)
graph[vertex].each do |u|
yield u if u != parent
end
end
end
class UnweightedGraph
def bfs(start : Int32, unreachable : U = nil) forall U
raise ArgumentError.new unless 0 <= start < size
queue = Deque{start}
dist = Array(Int32?).new(size, nil)
dist[start] = 0
while v = queue.pop?
graph[v].each do |edge|
if dist[edge].nil?
dist[edge] = dist[v].not_nil! + 1
queue.unshift edge
end
end
end
dist.map { |i| i || unreachable }
end
def bfs!(start : Int32)
bfs(start).map(&.not_nil!)
end
def bfs_st(start : Int32, goal : Int32, unreachable : U = nil) forall U
raise ArgumentError.new unless 0 <= start < size
queue = Deque{start}
dist = Array(Int32?).new(size, nil)
dist[start] = 0
while v = queue.pop?
d = dist[v].not_nil!
return d if v == goal
graph[v].each do |edge|
if dist[edge].nil?
dist[edge] = d + 1
queue.unshift edge
end
end
end
unreachable
end
end
n = read_line.to_i
s, t = read_line.split.map(&.to_i)
a = read_line.split.map(&.to_i)
stones = a + [s, t]
hash = stones.zip(0..).to_h
g = UnweightedUndirectedGraph.new(stones.size)
stones.each_with_index do |x, i|
(0..30).each do |bit|
if j = hash[x ^ (1 << bit)]?
g.add_edge(i, j)
end
end
end
puts g.bfs_st(hash[s], hash[t]).try(&.pred) || -1
yuruhiya