Problem:
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Dice III

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.

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.

Constraints

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

Sample Input 1

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

Sample Output 1

Yes

Sample Input 2

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

Sample Output 2

No

Solution in Python3 (judge verdict: Accepted)

class Dice:
	
	def __init__(self, faces):
		self.faces = faces
		self.t = faces[0]
		self.s = faces[1]
		self.e = faces[2]
		self.w = faces[3]
		self.n = faces[4]
		self.b = faces[5]

	def roll(self, drct):
		t_ = self.t
		s_ = self.s
		e_ = self.e
		w_ = self.w
		n_ = self.n
		b_ = self.b
		if drct == 'S':
			self.t = n_
			self.s = t_
			self.n = b_
			self.b = s_
		elif drct == 'N':
			self.t = s_
			self.s = b_
			self.n = t_
			self.b = n_
		elif drct == 'E':
			self.t = w_
			self.e = t_
			self.w = b_
			self.b = e_
		elif drct == 'W':
			self.t = e_
			self.e = b_
			self.w = t_
			self.b = w_
		else:
			return
	
	def rotate_right(self):
		s_ = self.s
		w_ = self.w
		n_ = self.n
		e_ = self.e
		self.s = e_
		self.w = s_
		self.n = w_
		self.e = n_
	
	def is_identical(self, other):		
		directions = 'NWNNWW'
		for direction in directions:
			for i in range(4):
				self.rotate_right()
				if self.is_matchall(other): return True
			self.roll(direction)
		return False

	def is_matchall(self, other):
		if self.t != other.t: return False
		if self.s != other.s: return False
		if self.e != other.e: return False
		if self.w != other.w: return False
		if self.n != other.n: return False
		if self.b != other.b: return False
		return True
		
faces1 = list(map(int, input().split()))
faces2 = list(map(int, input().split()))
dice1 = Dice(faces1)
dice2 = Dice(faces2)

if dice1.is_identical(dice2):
	print('Yes')
else:
	print('No')