def solve(io) n = io.get a, b = io.get2_c(n); a.map!(&.- 1); b.map!(&.- 1) g = Graph.new(n) zip(a, b) do |ai, bi| g.add_edge_b(ai, bi) end c = Array.new(n, false) r = [] of Int32 zip(a, b) do |ai, bi| if g[ai].size == 1 r << ai c[ai] = true elsif g[bi].size == 1 r << bi c[bi] = true elsif !c[ai] && !c[bi] r << ai c[ai] = true elsif c[ai] && !c[bi] r << bi c[bi] = true elsif !c[ai] && c[bi] r << ai c[ai] = true else io.put_e "No" end end io.put "Yes" r.each do |ri| io.put ri + 1 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 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 solve(ProconIO.new)