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 java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

public class Main {

  public static void main(String[] args) throws IOException {
    
    try(BufferedReader br = new BufferedReader(new InputStreamReader(System.in))) {

      Dice dice3a = new Dice(br.readLine().split(" "));
      Dice dice3b = new Dice(br.readLine().split(" "));
      String result = "No";

      dice3b.setFrontPosition(dice3a.getFrontSide());

      for(int i=0; i<4; i++)  {
        for(int j=0; j<4; j++) {
          if( dice3a.equals(dice3b) ) {
            result = "Yes";
            break;
          }
          else dice3b.rotate("W");
        }
        if( dice3a.equals(dice3b)) break;
        dice3b.rotate("N");
      }
      System.out.println(result);
    }
  }
}

class Dice {
  private int[] side;

  public Dice( int[] ia ) {
    side = Arrays.copyOf(ia, ia.length);
  }
  public Dice( String[] s ) {
    side = new int[s.length];
    for ( int i=0; i < 6; i++)
      side[i] = Integer.parseInt(s[i]);
  }

  @Override
  public boolean equals(Object o) {
    if(o == this) return true;
    if(o == null) return false;
    if(!(o instanceof Dice)) return false;
    Dice r = (Dice) o;

    if(
      (side[0] == r.side[0]) &&
      (side[1] == r.side[1]) &&
      (side[2] == r.side[2]) &&
      (side[3] == r.side[3]) &&
      (side[4] == r.side[4]) &&
      (side[5] == r.side[5])
      ) return true;
    else return false;
  }

  public int getUpperSide() {
    return side[0];
  }
  public int getLowerSide() {
    return side[5];
  }
  public int getFrontSide() {
    return side[1];
  }
  public int getBackSide() {
    return side[4];
  }
  public int getRightSide() {
    return side[2];
  }
  public int getLeftSide() {
    return side[3];
  }

  public void setFrontPosition(int n) {
    for(int i=0; i < 3; i++){
      if(getUpperSide() != n) rotate("N");
    }
    for(int i=0; i < 3; i++){
      if(getUpperSide() != n) rotate("W");
    }
    rotate("S");
  }

  public int doRotate(String s) {
    for ( int i=0; i < s.length(); i++ ) {
      rotate(s.substring(i, i+1));
    }
    return side[0];
  }

  public void rotate(String o) {
    switch(o) {
      case "N" :
        rotateN();
        break;
      case "S" :
        rotateS();
        break;
      case "W" :
        rotateW();
        break;
      case "E":
        rotateE();
        break;
      default :
    }
  }

  private void rotateN() {
    int tmp = side[0];
    side[0] = side[1]; side[1] = side[5]; side[5] = side[4];
    side[4] = tmp;
  }
  private void rotateS() {
    int tmp = side[0];
    side[0] = side[4]; side[4] = side[5]; side[5] = side[1];
    side[1] = tmp;
  }
  private void rotateW() {
    int tmp = side[0];
    side[0] = side[2]; side[2] = side[5]; side[5] = side[3];
    side[3] = tmp;
  }
  private void rotateE() {
    int tmp = side[0];
    side[0] = side[3]; side[3] = side[5]; side[5] = side[2];
    side[2] = tmp;
  }
}
