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
class Dice(object):
    """Dice Class

    """

    def __init__(self, numbers):
        """

        Args:
            numbers:
        """
        self.numbers_inverse = {numbers[0]: 1, numbers[1]: 2, numbers[2]: 3, numbers[3]: 4, numbers[4]: 5,
                                numbers[5]: 6}
        self.numbers = {1: numbers[0], 2: numbers[1], 3: numbers[2], 4: numbers[3], 5: numbers[4], 6: numbers[5]}

        self.vertical = [self.numbers[1], self.numbers[2], self.numbers[6], self.numbers[5]]
        self.horizontal = [self.numbers[4], self.numbers[1], self.numbers[3], self.numbers[6]]

    def roll_dice(self, str):
        """

        Args:
            str: move direction

        Returns:

        """
        for s in str:
            if s == 'N':
                self.move_north()
            elif s == 'S':
                self.move_south()
            elif s == 'W':
                self.move_west()
            elif s == 'E':
                self.move_east()

    def set_top(self, value):
        """
        Args:
            value: target_value
        """
        counter = 0
        while counter < 4:
            if self.vertical[0] == value:
                self.map_values()
                return
            else:
                self.roll_dice("S")
            counter += 1
        counter = 0
        while counter < 4:
            if self.vertical[0] == value:
                self.map_values()
                return
            else:
                self.roll_dice("W")
            counter += 1

    def set_front(self, value):
        """
        Args:
            value: target value
        """
        counter = 0
        while counter < 4:
            if self.vertical[1] == value:
                self.map_values()
                return
            else:
                self.roll_dice("SWN")
            counter += 1

    def move_south(self):
        """move this dice towered north
        """
        self.vertical = (self.vertical * 2)[3:7]
        self.horizontal[1] = self.vertical[0]
        self.horizontal[3] = self.vertical[2]
        self.map_values()

    def move_north(self):
        """move this dice towered south
        """
        self.vertical = (self.vertical * 2)[1:5]
        self.horizontal[1] = self.vertical[0]
        self.horizontal[3] = self.vertical[2]
        self.map_values()

    def move_east(self):
        """move this dice towered east
        """
        self.horizontal = (self.horizontal * 2)[3:7]
        self.vertical[0] = self.horizontal[1]
        self.vertical[2] = self.horizontal[3]
        self.map_values()

    def move_west(self):
        """move this dice towered west
        """
        self.horizontal = (self.horizontal * 2)[1:5]
        self.vertical[0] = self.horizontal[1]
        self.vertical[2] = self.horizontal[3]
        self.map_values()

    def map_values(self):
        self.numbers[1] = self.vertical[0]
        self.numbers[2] = self.vertical[1]
        self.numbers[3] = self.horizontal[2]
        self.numbers[4] = self.horizontal[0]
        self.numbers[5] = self.vertical[3]
        self.numbers[6] = self.vertical[2]

    def get_top(self):
        return self.vertical[0]


dice1 = Dice([int(x) for x in raw_input().split()])
dice2 = Dice([int(x) for x in raw_input().split()])

flag = False
if dice1.numbers == dice2.numbers:
    flag = True
else:
    for i in range(6):
        dice1.set_top(i+1)
        for j in xrange(4):
            dice1.roll_dice("SWN")
            if dice1.numbers == dice2.numbers:
                flag = True
        dice1.roll_dice("S")

if flag:
    print("Yes")
else:
    print("No")