Problem:
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Dice II

Construct a dice from a given sequence of integers in the same way as Dice I.

You are given integers on the top face and the front face after the dice was rolled in the same way as Dice I. Write a program to print an integer on the right side face.

Input

In the first line, six integers assigned to faces are given in ascending order of their corresponding labels.
In the second line, the number of questions $q$ is given.

In the following $q$ lines, $q$ questions are given. Each question consists of two integers on the top face and the front face respectively.

Output

For each question, print the integer on the right side face.

Constraints

$0 \leq $ the integer assigned to a face $ \leq 100$

The integers are all different

$1 \leq q \leq 24$

Sample Input

1 2 3 4 5 6
3
6 5
1 3
3 2

Sample Output

3
5
6

Solution in Ruby (judge verdict: Accepted)

class Dice
  def initialize(faces)
    @top = faces.shift
    @front = faces.shift
    @right = faces.shift
    @left = faces.shift
    @back = faces.shift
    @bottom = faces.shift
  end

  def turn_to_n
    old_top = @top
    @top = @front
    @front = @bottom
    @bottom = @back
    @back = old_top
  end

  def turn_to_e
    old_top = @top
    @top = @left
    @left = @bottom
    @bottom = @right
    @right = old_top
  end

  def turn_to_w
    old_top = @top
    @top = @right
    @right = @bottom
    @bottom = @left
    @left = old_top
  end

  def turn_to_s
    old_top = @top
    @top = @back
    @back = @bottom
    @bottom = @front
    @front = old_top
  end

  def right_when_top_and_front_are(top, front)
    set_top_to(top)
    keep_top_and_set_front_to(front)
    @right
  end

  attr_reader :top, :right

  private

  def set_top_to(top)
    return if @top == top
    case top
      when @front then turn_to_n
      when @left then turn_to_e
      when @right then turn_to_w
      when @back then turn_to_s
      else turn_to_s; turn_to_s
    end
  end

  def keep_top_and_set_front_to(front)
    return if @front == front
    case front
      when @left then turn_to_e; turn_to_s; turn_to_w
      when @right then turn_to_w; turn_to_s; turn_to_e
      when @back then turn_to_e; turn_to_s; turn_to_s; turn_to_w
    end
  end
end

faces = gets.split(" ").map(&:to_i)
n = gets.to_i
questions = (1..n).map {gets.split(" ").map(&:to_i)}

dice = Dice.new(faces)
questions.each {|q|
  top, front = q
  puts dice.right_when_top_and_front_are(top, front)
}