# 0-indexedで、getは半開区間であることに注意 class SegmentTree # O(n) def initialize(n, form) @form = form case form when "and" @identity_element = 2 ** n - 1 @func = Proc.new{|x, y| x & y } when "gcd" @identity_element = 0 @func = Proc.new{|x, y| x.gcd y } when "max" @identity_element = -( inf = 10 ** 12 ) @func = Proc.new{|x, y| x > y ? x : y } when "min" @identity_element = ( inf = 10 ** 12 ) @func = Proc.new{|x, y| x < y ? x : y } when "or" @identity_element = 0 @func = Proc.new{|x, y| x | y} when "prod" @identity_element = 1 @func = Proc.new{|x, y| x * y} when "sum" @identity_element = 1 @func = Proc.new{|x, y| x + y} end # @identity_element = identity_element @n = 1 @n *= 2 while @n < n # @n: leaf node size(2^k) # @n*2-1: tree node size @nodes = Array.new(@n*2-1){ @identity_element } end def update(i, val) # @n-1: inner node size i += @n - 1 @nodes[i] = val while i > 0 i = ( i - 1 ) / 2 @nodes[i] = @func.call(@nodes[2*i+1], @nodes[2*i+2]) end # p self self end def swap(i, j) # @n-1: inner node size n_i = @nodes[i + @n-1].dup n_j = @nodes[j + @n-1].dup update(i, n_j) update(j, n_i) end def get(l, r) l += @n - 1 r += @n - 1 lres, rres = @identity_element, @identity_element while l < r if l[0] == 0 lres = @func.call(lres, @nodes[l]) l += 1 end if r[0] == 0 r -= 1 rres = @func.call(rres, @nodes[r]) end l /= 2 r /= 2 end # p [lres, rres] return @func.call(lres, rres) end def [](k) @nodes[@n - 1 + k] end def inspect t = 0 res = "SegmentTree\n " @nodes.each_with_index do |e,i| res << e.to_s << " " if t == i && i < @n-1 res << "\n " t = t * 2 + 2 end end res end end class Array include Comparable def to_st(form) st = SegmentTree.new(size, form) each_with_index{ |t, i| st.update(i, t) } st end end # f = Proc.new{|x, y| x.gcd y } # p f.call(6, 10) # p f.call(5, 15) # p f.call(24,36) # p st = [7,6,8].to_st("gcd") # n, q = gets.to_s.split.map{|t| t.to_i } # a = gets.to_s.split.map{|t| t.to_i } # inf = [n + 1, nil] # # st = SegmentTree.new(n, inf) # st = a.map.with_index{|t, i| [t, i] }.to_st(inf) # q.times do # x, l, r = gets.to_s.split.map{|t| t.to_i - 1 } # # p "aaa" # if x == 0 # st.swap_min(l, r) # else # # puts "ans:" # p st.get_min(l, r+1)[-1] + 1 # end # end # puts "" # ABC 157 # n = gets.to_s.to_i # s = gets.to_s.chomp # q = gets.to_s.to_i # st = SegmentTree.new(n, 0) # # p "a".ord #=> 97 # s.bytes.each_with_index do |c, i| # st.update_or(i, 1 << (c-97)) # end # q.times do # t, x, y = gets.to_s.split # if t == "1" # i, c = x.to_i-1, y[0].ord # st.update_or(i, 1 << (c-97)) # else # l, r = x.to_i-1, y.to_i-1 # puts st.get_or(l, r+1).to_s(2).count('1') # end # end # # n = gets.to_s.to_i # s = gets.to_s.chomp # q = gets.to_s.to_i # # sts = Array.new(26){ SegmentTree.new(n, form: :sum) } # st = SegmentTree.new(n, form: :set) # # p st # # p "a".ord #=> 97 # s.chars.each_with_index do |c, i| # # sts[c - 97].update_sum(i, c) # st.update_sum(i, Set[c]) # end # # p st # q.times do # t, x, y = gets.to_s.split # if t == '1' # i, c = x.to_i-1, y.ord # st.update_sum(i, Set[y]) # else # l, r = x.to_i-1, y.to_i-1 # # p st # puts st.get_sum(l, r+1).size # end # end # ABC125 C - GCD on Blackboard # n = gets.to_s.to_i # a = gets.to_s.split.map{|t| t.to_i } # st = a.to_st(:gcd) # ans = [st.get_gcd(1, n), st.get_gcd(0, n-1)].max # 1.upto(n-2) do |i| # v = st.get_gcd(0, i).gcd st.get_gcd(i+1, n) # ans = v if ans < v # end # puts ans # DSL_2_A # 蟻本 python セグメント木 競技プログラミング Atcoder - じゅっぴーダイアリー # https://juppy.hatenablog.com/entry/2019/05/02/%E8%9F%BB%E6%9C%AC_python_%E3%82%BB%E3%82%B0%E3%83%A1%E3%83%B3%E3%83%88%E6%9C%A8_%E7%AB%B6%E6%8A%80%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%9F%E3%83%B3%E3%82%B0_Atcoder # DSL_2_A # n, q = gets.to_s.split.map{|t|t.to_i} # st = SegmentTree.new(n) # q.times do # c, x, y = gets.to_s.split # c, x, y = c.to_i, x.to_i, y.to_i # if c.zero? # st.update_min(x, y) # else # puts st.get_min(x, y+1) # end # end n, q = gets.to_s.split.map{|t| t.to_i } a = gets.to_s.split.map{|t| t.to_i } idx = Array.new(n+1) a.each_with_index{ |t, i| idx[t] = i } st = a.to_st("min") q.times do x, l, r = gets.to_s.split.map{|t| t.to_i } l -= 1 r -= 1 if x == 1 idx[st[l]] = r idx[st[r]] = l st.swap(l, r) else # puts "ans:" puts idx[st.get(l, r+1)] + 1 end end