結果

問題 No.875 Range Mindex Query
ユーザー universatouniversato
提出日時 2020-05-29 16:23:15
言語 Ruby
(3.3.0)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,115 bytes
コンパイル時間 37 ms
コンパイル使用メモリ 7,424 KB
実行使用メモリ 30,464 KB
最終ジャッジ日時 2024-04-23 13:25:47
合計ジャッジ時間 17,838 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
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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 90 ms
12,160 KB
testcase_01 AC 101 ms
12,160 KB
testcase_02 AC 103 ms
12,544 KB
testcase_03 AC 91 ms
12,160 KB
testcase_04 AC 97 ms
12,160 KB
testcase_05 AC 93 ms
12,288 KB
testcase_06 AC 96 ms
12,288 KB
testcase_07 AC 97 ms
12,160 KB
testcase_08 AC 95 ms
12,288 KB
testcase_09 AC 98 ms
12,288 KB
testcase_10 AC 101 ms
12,288 KB
testcase_11 TLE -
testcase_12 AC 1,797 ms
20,336 KB
testcase_13 AC 1,487 ms
30,080 KB
testcase_14 AC 1,470 ms
28,672 KB
testcase_15 TLE -
testcase_16 AC 1,730 ms
28,800 KB
testcase_17 TLE -
testcase_18 AC 1,987 ms
29,184 KB
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コンパイルメッセージ
Main.rb:141: warning: assigned but unused variable - n
Syntax OK

ソースコード

diff #

# 0-indexedで、getは半開区間であることに注意
class SegmentTree

  @@inf = (1 << 60) - 1

  # O(n)
  def initialize(n, form)
    case form
    when "and"
      @identity_element = (1 << 60) - 1
      @func = Proc.new{|x, y| x & y }
    when "gcd"
      @identity_element = 0
      @func = Proc.new{|x, y| x.gcd y }
    when "lcm"
      @identity_element = 1
      @func = Proc.new{|x, y| x.lcm y }
    when "max"
      @identity_element = -@@inf
      @func = Proc.new{|x, y| x > y ? x : y }
    when "min"
      @identity_element =  @@inf
      @func = Proc.new{|x, y| x < y ? x : y }
    when "min_with_index"
      @identity_element =  [@@inf, n+1]
      @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
    @n_1 = @n - 1
    @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
    true
  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 swap_with_index(i, j)
    # @n-1: inner node size
    n_i = @nodes[i + @n_1].dup
    n_j = @nodes[j + @n_1].dup
    n_i[-1] = j
    n_j[-1] = i
    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
    return @func.call(lres, rres)
  end

  def all_update
    @n_1.downto(1){ |i| @nodes[i-1] = @func.call(@nodes[2*i-1], @nodes[2*i]) }
  end

  def [](k)
    @nodes[@n_1 + k]
  end

  def []=(i, val)
    @nodes[@n_1 + i] = val
  end

  def inf=(x)
    @@inf = x
  end

  def inf()
    @@inf
  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[i] = t }
    st.all_update
    st
  end
end

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("min_with_index")

q.times do
  x, l, r = gets.to_s.split.map{|t| t.to_i - 1 }
  # p "aaa"
  if x == 0
    st.swap_with_index(l, r)
  else
    # puts "ans:"
    p st.get(l, r+1)[-1] + 1
  end
end
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