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
#!/usr/bin/env python3
# coding: utf-8
import random


class Dice() :

    mask = {'N':(1,5,2,3,0,4), 'E':(3,1,0,5,4,2),
            'W':(2,1,5,0,4,3), 'S':(4,0,2,3,5,1),'CW':(0,2,4,1,3,5)}

    way = ("N","E","W","S","CW","Nop")

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

    def move(self, data):
        if data == "Nop":
            return
        self.label = [self.label[idx] for idx in self.mask[data]]

    def get_up(self):
        return self.label[0]

    def compare_6sq(self, dice2):
        check = True
        for i in range(6):
            if self.label[i] == dice2.label[i] :
                continue
            else:
                check = False
                break

        return check
    
    def compare_4rot(self, dice2):
        ok = False
        for i in range(4):
            self.move("CW")
            if self.compare_6sq(dice2) :
                ok =True
                break
        return ok
    
    def compare(self,dice2):
        ok = False
        orderway =("Nop","E","N","E","N","E")

        for s in orderway:
            self.move(s)
            if self.compare_4rot(dice2):
                ok = True
                break
        
        return ok





dice1 = Dice(input().split())
dice2 = Dice(input().split())

if dice1.compare(dice2) :
    print ("Yes")
else:
    print ("No")

