Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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 Scala (judge verdict: Accepted)

import scala.io.StdIn

object Main{
  def main(args: Array[String]){
    val dice1 = new Dice(StdIn.readLine.split(" ").toList.map(_.toInt))
    val dice2 = new Dice(StdIn.readLine.split(" ").toList.map(_.toInt))

    println(if(dice1.isEqual(dice2)) "Yes" else "No")
  }
}

class Dice(sur: List[Int]){
  private val index: List[Int] = sur

  def findRight(list: List[Int]): Int={
    val dice = new Dice(index)
    val kindOfDices = List[Dice](dice, dice.rotN, dice.rotS, dice.rotW, dice.rotE, dice.rotN.rotN)
    val finddice = for{
      kindOfDice <- kindOfDices
    }yield kindOfDice match{
      case x if(x.getVal(0) == list(0) && x.getVal(1) == list(1)) => x.getVal(2)
      case x if(x.rotR.getVal(0) == list(0) && x.rotR.getVal(1) == list(1)) => x.rotR.getVal(2)
      case x if(x.rotR.rotR.getVal(0) == list(0) && x.rotR.rotR.getVal(1) == list(1)) => x.rotR.rotR.getVal(2)
      case x if(x.rotR.rotR.rotR.getVal(0) == list(0) && x.rotR.rotR.rotR.getVal(1) == list(1)) => x.rotR.rotR.rotR.getVal(2)
      case _ => 0
    }

    finddice.sum
  }

  def isEqual(dice2:Dice): Boolean={
    val dice = new Dice(index)
    val kindOfDices = List[Dice](dice, dice.rotN, dice.rotS, dice.rotW, dice.rotE, dice.rotN.rotN)

    val torf = for{
      kindOfDice <- kindOfDices
    } yield kindOfDice match{
      case x if(x.index == dice2.index) => true
      case x if(x.rotR.index == dice2.index) => true
      case x if(x.rotR.rotR.index == dice2.index) => true
      case x if(x.rotR.rotR.rotR.index == dice2.index) => true
      case _ => false
    }

    def recConfirm(list: List[Boolean]): Boolean={
      if(list == Nil) false
      else list.head || recConfirm(list.tail)
    }

    recConfirm(torf)
  }

  def getVal(i: Int): Int = index(i)

  def rotR(): Dice =
    new Dice(index).rotS.rotW.rotN

  def rotN(): Dice =
    new Dice(List[Int](index(1), index(5), index(2), index(3), index(0), index(4)))

  def rotS(): Dice =
    new Dice(List[Int](index(4), index(0), index(2), index(3), index(5), index(1)))

  def rotW(): Dice =
    new Dice(List[Int](index(2), index(1), index(5), index(0), index(4), index(3)))

  def rotE(): Dice =
    new Dice(List[Int](index(3), index(1), index(0), index(5), index(4), index(2)))
}