human
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 PYTHON.
 Give me a Python program to print an integer on the right side face?
assistant
#Here is Python program to print an integer on the right side face.

# coding=utf-8

class Dice(object):

    def __init__(self, label):
        self.label = label

    def getLabel(self, i):
        return self.label[i - 1]

    def _rotateS(self):
        self.label = [self.getLabel(i) for i in [5, 1, 3, 4, 6, 2]]

    def _rotateN(self):
        self.label = [self.getLabel(i) for i in [2, 6, 3, 4, 1, 5]]

    def _rotateE(self):
        self.label = [self.getLabel(i) for i in [4, 2, 1, 6, 5, 3]]

    def _rotateW(self):
        self.label = [self.getLabel(i) for i in [3, 2, 6, 1, 5, 4]]

    def _spinPos(self):
        self.label = [self.getLabel(i) for i in [1, 4, 2, 5, 3, 6]]

    def _spinNeg(self):
        self.label = [self.getLabel(i) for i in [1, 3, 5, 2, 4, 6]]

    def rotate(self, rotates):
        for r in rotates:
            if r == 'S':
                self._rotateS()
            elif r == 'N':
                self._rotateN()
            elif r == 'E':
                self._rotateE()
            elif r == 'W':
                self._rotateW()
            elif r == 'T':
                self._spinPos()
            elif r == 'B':
                self._spinNeg()

    def match(self, top, front):
        iTop = self.label.index(top) + 1
        topRot = {1: '', 2: 'N', 3: 'W', 4: 'E', 5: 'S', 6: 'SS'}
        self.rotate(topRot[iTop])

        iFront = self.label.index(front) + 1
        frontRot = {2: '', 3: 'B', 4: 'T', 5: 'TT'}
        self.rotate(frontRot[iFront])

def main():
    d = Dice(map(int, raw_input().split()))
    n = input()
    for _ in xrange(n):
        top, front = map(int, raw_input().split())
        d.match(top, front)
        print d.getLabel(3)

if __name__ == '__main__':
    main()