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
import random

class Dice:
  def __init__(self, list = map(str, range(1, 7))):
    self.top = list[0]
    self.front = list[1]
    self.right = list[2]
    self.left = list[3]
    self.back = list[4]
    self.bottom = list[5]

    self.dic = {}
    for i in xrange(6):
      if list[i] in self.dic:
        self.dic[list[i]] += 1
      else:
        self.dic[list[i]] = 1

  def print_all(self):
    print "top = " + self.top + ", front = " + self.front + ", right = " + self.right + ", left = " + self.left + ", back = " + self.back + ", bottom = " + self.bottom

  def roll_N(self):
    temp = self.top
    self.top = self.front
    self.front = self.bottom
    self.bottom = self.back
    self.back = temp

  def roll_S(self):
    temp = self.top
    self.top = self.back
    self.back = self.bottom
    self.bottom = self.front
    self.front = temp

  def roll_W(self):
    temp = self.top
    self.top = self.right
    self.right = self.bottom
    self.bottom = self.left
    self.left = temp

  def roll_E(self):
    temp = self.top
    self.top = self.left
    self.left = self.bottom
    self.bottom = self.right
    self.right = temp

  def roll_C(self):
    temp = self.front
    self.front = self.right
    self.right = self.back
    self.back = self.left
    self.left = temp

  def random_roll(self):
    ram = random.randint(1, 4)
    if ram == 1:
      self.roll_E()
    elif ram == 2:
      self.roll_N()
    elif ram == 3:
      self.roll_S()
    else:
      self.roll_W()

  def getDifference(self, dice):
    same_list = []
    different_list = []
    if self.top == dice.top:
      same_list.append("top")
    else:
      different_list.append("top")
    if self.front == dice.front:
      same_list.append("front")
    else:
      different_list.append("front")
    if self.left == dice.left:
      same_list.append("left")
    else:
      different_list.append("left")
    if self.back == dice.back:
      same_list.append("back")
    else:
      different_list.append("back")
    if self.right == dice.right:
      same_list.append("right")
    else:
      different_list.append("right")
    if self.bottom == dice.bottom:
      same_list.append("bottom")
    else:
      different_list.append("bottom")

    result_list = [same_list, different_list]
    return result_list

  def getList(self):
    list = [self.top, self.front, self.right, self.left, self.back, self.bottom]
    return list

first_dice = Dice(raw_input().split(" "))
second_dice = Dice(raw_input().split(" "))

def print_dices():
  print "first dice: "
  first_dice.print_all()
  print "second dice: "
  second_dice.print_all()
  print first_dice.dic

line = "#######################################"

flag = False
num = 0
debug = 0
while num < 4:
  # debug += 1
  # if debug > 10:
  #   break
  # print line

  dic1_keys = first_dice.dic.keys()
  for i in xrange(len(dic1_keys)):
    if first_dice.dic[dic1_keys[i]] != second_dice.dic[dic1_keys[i]]:
      num = 4
      break

  for i in xrange(len(dic1_keys)):
    if first_dice.dic[dic1_keys[i]] == 6 or first_dice.dic[dic1_keys[i]] == 5:
      num = 4
      flag = True
      break

  # print_dices()

  diferece = first_dice.getDifference(second_dice)
  # print diferece

  same_num = len(diferece[0])
  if same_num == 6:
    break
  elif same_num == 5:
    num = 4
    break

  if "front" in diferece[0] or "back" in diferece[0]:
    first_dice.roll_W()
    num += 1
  elif "left" in diferece[0] or "right" in diferece[0]:
    first_dice.roll_S()
    num += 1
  elif "top" in diferece[0] or "bottom" in diferece[0]:
    first_dice.roll_C()
    num += 1
  else:
    first_dice.random_roll()

if flag == True:
  print "Yes"
elif num == 4:
  print "No"
else:
  print "Yes"