Write a program which reads the two dices constructed in the same way as Dice I, and determines whether these two dices are identical. You can roll a dice in the same way as Dice I, and if all integers observed from the six directions are the same as that of another dice, these dices can be considered as identical.

Constraints

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

Input

In the first line, six integers assigned to faces of a dice are given in ascending order of their corresponding labels.
In the second line, six integers assigned to faces of another dice are given in ascending order of their corresponding labels.

Output

Print "Yes" if two dices are identical, otherwise "No" in a line.

Examples

Input

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


Output

Yes


Input

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


Output

No
# coding=utf-8


class Dice(object):

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

    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 matchTopFront(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 copy(self):
        return Dice(self.label[:])

    def __eq__(self, other):
        # ?????¢???????????¢?????\????????§6????????????
        for rs in ['', 'S', 'N', 'E', 'W', 'SS']:
            tmp = self.copy()
            for r in rs:
                tmp.rotate(r)
            # ?????¢????????¢????????§??????
            top = tmp.getLabel(1) == other.getLabel(1)
            bottom = tmp.getLabel(6) == other.getLabel(6)
            # ??´??¢?????????????????????????????????????????¢??????????????????????????´??????????????°??????
            # top and bottom ???False??????????????????????????????????????§?????¢??°?????????
            def side():
                result, n = False, 3
                while not result and n > 0:
                    if tmp.label[1:5] == other.label[1:5]:
                        result = True
                    else:
                        tmp.rotate('T')
                        n -= 1
                return result
            if top and bottom and side():
                return True
        else:
            return False


def main():
    face1 = map(int, raw_input().split())
    face2 = map(int, raw_input().split())
    # ????????????????????????????????´?????????????????´???
    if set(face1) != set(face2):
        print 'No'
    # ???????????????????????´???
    elif len(face1) == len(set(face1)):
        d1 = Dice(face1)
        d2 = Dice(face2)
        d2.matchTopFront(d1.getLabel(1), d1.getLabel(2))
        print 'Yes' if d1.label == d2.label else 'No'
    # ???????????????????????´???
    else:
        d1 = Dice(face1)
        d2 = Dice(face2)
        print 'Yes' if d1 == d2 else 'No'

if __name__ == '__main__':
    main()