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
// ITP1_11_C Dice 3
import java.io.*;

class Main {
   public static void main(String[] args) {
      BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
      Dice d1;
      Dice d2;

      try {
         String[][] input = new String[2][];
         for (int i = 0; i < 2; i++)
            input[i] = br.readLine().split(" ");
         int[][] roll = new int[2][6];
         for (int i = 0; i < roll.length; i++)
            for (int j = 0; j < input[i].length; j++)
               roll[i][j] = Integer.parseInt(input[i][j]);
         d1 = new Dice(roll[0][0], roll[0][1], roll[0][2], roll[0][3], roll[0][4], roll[0][5]);
         d2 = new Dice(roll[1][0], roll[1][1], roll[1][2], roll[1][3], roll[1][4], roll[1][5]);
         boolean flag = compare(d1, d2);
         System.out.println(flag ? "Yes" : "No");
      }
      catch (Exception e) {
         e.printStackTrace();
      }
   }
   static boolean compare(Dice d1, Dice d2) {
      if (check(d1, d2)) return true;
      else {
         if (rotate(d1, d2)) return true;
      }
      return false;
   }
   static boolean check(Dice d1, Dice d2) {
      if (d1.Top == d2.Top && d1.Front == d2.Front && d1.Right == d2.Right && d1.Left == d2.Left && d1.Back == d2.Back && d1.Bottom == d2.Bottom) {
         return true;
      }
      return false;
   }
   static boolean rotate(Dice d1, Dice d2) {
      for (int i = 0; i <= 6; i++) { 
         if (i == 0) {
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 1) {
            d2.north();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 2) {
            d2.north();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 3) {
            d2.north();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 4) {
            d2.north();
            d2.east();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 5) {
            d2.east();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
         if (i == 6) {
            d2.east();
            for (int j = 0; j < 4; j++) {
               if (check(d1, d2)) return true;
               d2.spin();
            }
         }
      }
      return false;
   }
}

class Dice {
   int Top;
   int Front; 
   int Right;
   int Left;
   int Back;
   int Bottom;
   int work;

   Dice(int top, int front, int right, int left, int back, int bottom) {
      Top    = top;
      Left   = left;
      Back   = back;
      Front  = front;
      Right  = right;
      Bottom = bottom;
   }
   void north() {
      work   = Top;
      Top    = Front;
      Front  = Bottom;
      Bottom = Back;
      Back   = work;
   }
   void east() {
      work   = Top;
      Top    = Left;
      Left   = Bottom;
      Bottom = Right;
      Right  = work;
   }
   void west() {
      work   = Top;
      Top    = Right;
      Right  = Bottom;
      Bottom = Left;
      Left   = work;
   }
   void south() {
      work   = Top;
      Top    = Back;
      Back   = Bottom;
      Bottom = Front;
      Front  = work;
   }
   void spin() {
      work  = Front;
      Front = Right;
      Right = Back;
      Back  = Left;
      Left  = work;
   }
}