human
Give me a Python code to print an integer on the right side face given the following:
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.



Constraints

* $0 \leq $ the integer assigned to a face $ \leq 100$
* The integers are all different
* $1 \leq q \leq 24$

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.

Example

Input

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

Output

3
5
6
The above is tricky. Write me a correct solution in PYTHON3.
assistant
#Here is Python code to print an integer on the right side face.

#coding:utf-8
#1_11_B 2015.4.20
class Dice:
    def __init__(self,ary):
        self.top , self.south , self.east , self.west , self.north ,self.bottom = ary

    def roll_n(self):
        self.top , self.south , self.bottom , self.north = self.south , self.bottom , self.north , self.top

    def roll_e(self):
        self.top , self.west , self.bottom , self.east = self.west , self.bottom , self.east , self.top

    def twist(self):
        self.north , self.west , self.south , self.east = self.east , self.north , self.west , self.south

dice = Dice(input().split())
for i in range(int(input())):
    top,south = input().split()
    while dice.top != top or dice.south != south:
        if dice.top == top:
            while dice.south != south:
                dice.twist()
        elif dice.south == south:
            while dice.top != top:
                dice.roll_e()
        else:
            dice.roll_n()
    print(dice.east)