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;

class Main{
  public static void main(String args[]) throws IOException{
   BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
   String[] surface1 =  br.readLine().split(" ");
   String[] surface2 =  br.readLine().split(" ");



   Dise[] dice = new Dise[2];

   dice[0] = new Dise();
   dice[0].setSurface(surface1);
   dice[0].SetDice(1, 2 , 3);

   dice[1] = new Dise();
   dice[1].setSurface(surface2);
   dice[1].SetDice(1, 2 , 3);



   int matchpoint = 0;
   for(int i = 0; i < 6  ; i++){
     if(matchpoint == 3 )break;
     matchpoint = 0;
     for(int j = 0; j < 6; j++){
    	 if(matchpoint == 3 )break;
         matchpoint = 0;

       if(dice[0].surface[i] == dice[1].surface[j] ){
    	   dice[0].RegulateDiceLeft( dice[0].surface[i] );
    	   dice[1].RegulateDiceLeft( dice[1].surface[j] );

    	   if(dice[0].surface[ dice[0].Right ] == dice[1].surface[ dice[1].Right ] ){
    		   matchpoint++;

    	   }

    	   for(int k = 0; k < 3; k++){
    		   if(dice[0].surface[ dice[0].Top ] == dice[1].surface[ dice[1].Top ] ){

    			   matchpoint++;

    			   break;

    		   }else{

    			   dice[1].RollDice("N");

    		   }
    	   }

    	   if(dice[0].surface[ dice[0].Bottom ] == dice[1].surface[ dice[1].Bottom ]  &&
    			   dice[0].surface[ dice[0].Front ] == dice[1].surface[ dice[1].Front ] &&
    					   dice[0].surface[ dice[0].Back ] == dice[1].surface[ dice[1].Back ]
    			   ){

    		   matchpoint ++;

    	   }


       }
      }

   }




   if(matchpoint==3){
	   System.out.println("Yes");


   }else{
	   System.out.println("No");
   }


  }
}

class Dise{

	int[] surface = new int [6];
    int Top,Bottom,Right,Left,Front,Back;


	void setSurface(String[] SurfaceString){

		for(int i = 0; i < 6; i++){

			surface[i] = Integer.parseInt( SurfaceString[i] );

		}

	}

    void SetDice(int top, int front, int right){
	   Top  = top - 1;
       Front = front - 1;
       Right = right - 1;
       Bottom = 5- (top - 1);
       Back = 5- (front - 1);
       Left = 5- (right - 1);
    }//SetDice


    void RegulateDice( int setTop, int setFront  ){


    	if( surface[Left] == setTop )   {


    	    RollDice("E");

    	}else if( surface[Right] == setTop ){

    		RollDice("W");

    	}else if( surface[Front] == setTop ){

    		RollDice("N");

    	}else if( surface[Back] == setTop ){

    		RollDice("S");

    	}else if( surface[Bottom] == setTop ) {

    		RollDice("NN");

    	}

    	if( surface[Left] == setFront )   {

      	  RollDice("NES");

      	}else if( surface[Right] == setFront ){

      		RollDice("NWS");

      	}else if(surface[Back]== setFront){

      		RollDice("NEES");

      	}


    }

    void RegulateDiceLeft( int setLeft){

    	if( surface[Top] == setLeft )   {

    	    RollDice("E");

    	}else if( surface[Right] ==setLeft ){

    		RollDice("EE");

    	}else if( surface[Front] == setLeft ){

    		RollDice("NE");

    	}else if( surface[Back] == setLeft ){

    		RollDice("SE");

    	}else if( surface[Bottom] == setLeft ) {

    		RollDice("W");

    	}

    }


    void RollDice(String RollString){

    	String[] SurfaceString =  RollString.split("");
    	for(int i = 0; i < SurfaceString.length ; i++){

    		if( SurfaceString[i].equals("W") ){

    			Bottom = Left;
    			Left = Top;
    			Top = 5 - Bottom;
    			Right = 5 - Left;

    		}else if( SurfaceString[i].equals("S")){

    			Bottom = Front;
    			Front = Top;
    			Top = 5 - Bottom;
    			Back = 5 - Front;

    		}else if( SurfaceString[i].equals("E")){

    			Bottom = Right;
    			Right = Top;
    			Top = 5 - Bottom;
    			Left = 5 - Right;

    		}else{

    			Bottom = Back;
    			Back = Top;
    			Top = 5 - Bottom;
    			Front = 5 - Back;

    		}
    	}


    }//RollDice


    void lookoutDice(){

    	System.out.println("?????¢:"+surface[Top] +" ?????¢:" +surface[Bottom] +" ?????¢:" + surface[Left] + " ?????¢:"+ surface[Right] + " ??£??¢:" + surface[Front] + " ?????¢:" +surface[Back]) ;

    }

}