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 Ruby (judge verdict: Accepted)

$dice1 = gets.split.map(&:to_i)
$dice2 = gets.split.map(&:to_i)

movelist = ["NNN", "", "W", "WWW", "NN", "N"]

def dicemove(i)
	if i == "N"
		temp = $dice2[0]
		$dice2[0] = $dice2[1]
		$dice2[1] = $dice2[5]
		$dice2[5] = $dice2[4]
		$dice2[4] = temp
	elsif i == "W"
		temp = $dice2[3]
		$dice2[3] = $dice2[1]
		$dice2[1] = $dice2[2]
		$dice2[2] = $dice2[4]
		$dice2[4] = temp
	end
end

#=begin
# Dice1 と 中央を揃える
cenidx = $dice2.index($dice1[1])

if cenidx == -1
	puts "No"
	exit
else
	moving = movelist[cenidx]
end

moving.chars do |i|
	dicemove(i)
end

# 背面が等しい値か、チェックする。
if $dice1[4] != $dice2[4]
	puts "No"
	exit
end

# 東西南北が等しい値か、チェックする
cross1 = [$dice1[0], $dice1[3], $dice1[5], $dice1[2]]	# 北, 西, 南, 東
cross2 = [$dice2[0], $dice2[3], $dice2[5], $dice2[2]]

cross2.rotate!(cross2.index(cross1[0]))

if cross1 == cross2
	puts "Yes"
else
	puts "No"
end