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

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

        String[] s = br.readLine().split(" ");
        String[] t = br.readLine().split(" ");
        int[] a = new int[6];
        int[] b = new int[6];

        for(int i = 0; i < s.length; i++){
            a[i] = Integer.parseInt(s[i]);
            b[i] = Integer.parseInt(t[i]);
        }

        Dice diceA = new Dice(a);
        Dice diceB = new Dice(b);
        
        while(true){
            if(diceA.equals(diceB)) break;
            diceB.turnN();
            if(diceA.equals(diceB)) break;
            diceB.turnN();
            if(diceA.equals(diceB)) break;
            diceB.turnN();
            if(diceA.equals(diceB)) break;
            diceB.turnW();
            if(diceA.equals(diceB)) break;
            diceB.turnE();  diceB.turnE();
            if(diceA.equals(diceB)) break;
            System.out.println("No");
            System.exit(0);
        }

        System.out.println("Yes");
    
    }
}

class Dice{
    int TOP,BOTTOM,LEFT,RIGHT,FRONT,BACK;

    Dice(int[] a){
        this.TOP = a[0];
        this.FRONT = a[1];
        this.RIGHT = a[2];
        this.LEFT = a[3];
        this.BACK = a[4];
        this.BOTTOM = a[5];
    }

    boolean equals(Dice another){
        Dice tmp = another;
        if(this.TOP == tmp.TOP){
            if(this.BOTTOM == tmp.BOTTOM){
                for(int i = 0; i < 4; i++){
                    if(this.checkSides(tmp)) return true;
                    tmp.turnR();
                }
            }
        }
        return false;
    }

    boolean checkSides(Dice another){
        return  this.FRONT == another.FRONT &&
                this.RIGHT == another.RIGHT &&
                this.LEFT == another.LEFT &&
                this.BACK == another.BACK;
    }

    void setTop(int top){
        if(this.FRONT == top)           this.turnN();
        else if(this.RIGHT == top)      this.turnW();
        else if(this.LEFT == top)       this.turnE();
        else if(this.BACK == top)       this.turnS();
        else if(this.BOTTOM == top)    {this.turnN(); this.turnN();}
    }

    void setFront(int front){
        if(this.RIGHT == front)         this.turnL();
        else if(this.LEFT == front)     this.turnR();
        else if(this.BACK == front)    {this.turnR(); this.turnR();}
    }

    void turnS(){
        int tmp = this.TOP;
        this.TOP = this.BACK;
        this.BACK = this.BOTTOM;
        this.BOTTOM = this.FRONT;
        this.FRONT = tmp;
    }

    void turnN(){
        int tmp = this.TOP;
        this.TOP = this.FRONT;
        this.FRONT = this.BOTTOM;
        this.BOTTOM = this.BACK;
        this.BACK = tmp;
    }

    void turnW(){
        int tmp = this.TOP;
        this.TOP = this.RIGHT;
        this.RIGHT = this.BOTTOM;
        this.BOTTOM = this.LEFT;
        this.LEFT = tmp;
    }

    void turnE(){
        int tmp = this.TOP;
        this.TOP = this.LEFT;
        this.LEFT = this.BOTTOM;
        this.BOTTOM = this.RIGHT;
        this.RIGHT = tmp;
    }

    void turnL(){
        int tmp = this.FRONT;
        this.FRONT = this.RIGHT;
        this.RIGHT = this.BACK;
        this.BACK = this.LEFT;
        this.LEFT = tmp;
    }

    void turnR(){
        int tmp = this.FRONT;
        this.FRONT = this.LEFT;
        this.LEFT = this.BACK;
        this.BACK = this.RIGHT;
        this.RIGHT = tmp;
    }

}