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.*;
import java.util.*;


public class Main{ 

	public static void main(String args[]){
		
		Scanner scan = new Scanner(System.in);
		DiceExtend d01 = new DiceExtend(scan.nextLine());
		Dice d02 = new Dice(scan.nextLine());
		if(d01.rollAllPattern(d02))
			System.out.println("Yes");
		else
			System.out.println("No");
	}

}
class DiceExtend extends Dice{
	public DiceExtend(String line){
		super(line);
	}
	public void printTop(){
		System.out.println(this.top);
	}
	public boolean rotateCheck(Dice d){
		for(int j=0;j<4;j++){
			rotate();
			if(equalFace(d))
				return true;
		}
		return false;
	}
	public boolean rollAllPattern(Dice d){
		for(int i=0; i<4;i++){
			roll('N');
			if(rotateCheck(d))
				return true;
		}
		roll('W');
		if(rotateCheck(d))
			return true;		
		roll('E');
		roll('E');		
		if(rotateCheck(d))
			return true;		
		return false;				
	}
	
}
class Dice{
	int top;
	int back;
	int right;
	int left;
	int front;
	int bottom;
	public Dice(String line){
		String[] face = line.split(" ");
		top = Integer.parseInt(face[0]);
		back = Integer.parseInt(face[1]);
		right = Integer.parseInt(face[2]);		
		left = Integer.parseInt(face[3]);
		front = Integer.parseInt(face[4]);
		bottom = Integer.parseInt(face[5]);
	}
	void rotate(){
		int tmp = front;
		front = right;
		right=back;
		back = left;
		left = tmp;
	}
	public void roll(char c){
		int tmp = top;
		switch(c){
			case 'N':
				top = back;
				back=bottom;
				bottom = front;
				front = tmp;
				break;
			case 'E':
				top = left;
				left = bottom;
				bottom = right;
				right = tmp;
				break;
			case 'S':
				top = front;
				front = bottom;
				bottom = back;
				back = tmp;
				break;
			case 'W':
				top = right;
				right = bottom;
				bottom = left;
				left = tmp;
				break;
		}
	}
	boolean equalFace(Dice d){
		if(this.top == d.top && 
		   this.bottom==d.bottom &&
		   this.right == d.right &&
		   this.left == d.left &&
		   this.front == d.front &&
		   this.back == d.back)
			return true;
		else
			return false;
	}

}