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;
 
public class Main {
 
    public static void main(String[] args) throws IOException {
        // TODO ?????????????????????????????????????????????
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
 
        int[] a = new int[6];
        int[] b = new int[6];
 
        String[] tmpArray = br.readLine().split(" ");
        for(int i = 0; i < 6; i++){
            a[i] = Integer.parseInt(tmpArray[i]);
        }
 
        tmpArray = br.readLine().split(" ");
        for(int i = 0; i < 6; i++){
            b[i] = Integer.parseInt(tmpArray[i]);
        }
  
        Dice dice = new Dice(a);
//        Dice dice2 = new Dice(b);
        //?????????????????§???????????£?????????
        Dice[] dices = new Dice[24];
        for(int i = 0; i < dices.length ; i++){
        	dices[i] = new Dice(b);
        }

        //?????¢??¨??????
        String[] order = {"","L","LL","LLL","N","NL","NLL","NLLL","E","EL","ELL","ELLL","W","WL","WLL","WLLL","S","SL","SLL","SLLL","NN","NNL","NNLL","NNLLL"};
        
        for(int i = 0; i < order.length ; i++){
        	dices[i].executeCommands(order[i]);
        	if(dice.isSame(dices[i])){
        		System.out.println("Yes");
        		return;
        	}
        }
        
        System.out.println("No");
        
    }
 
}
 
class Dice {
    //??????????????????????\\??????????????????
    private int[] numbers = new int[6];// = {1,2,3,5,4,6};
    private int sum = 1;
 
    public Dice(int[] numbers){
        for(int i = 0; i < 6; i++){
            this.numbers[i] = numbers[i];
        }
        this.numbers[3] = numbers[4];
        this.numbers[4] = numbers[3];
    }
 
    public void executeCommands(String commands){
    	for(int i = 0; i < commands.length() ; i++){
    		char c = commands.charAt(i);
    		
    		if(c == 'N'){
    			north();
    		}
    		if(c == 'W'){
    			west();
    		}
    		if(c == 'S'){
    			south();
    		}
    		if(c == 'E'){
    			east();
    		}
    		if(c == 'L'){
    			left();
    		}
    		if(c == 'R'){
    			right();
    		}
    	}
    }
    
    public void move (String command){
        if(command.equals("North")) {
            north();
        }
 
        else if(command.equals("South")) {
            south();
        }
        else if(command.equals("East")) {
            east();
        }
        else if(command.equals("West")) {
            west();
        }
        else if(command.equals("Right")) {
            right();
        }
        else if(command.equals("Left")) {
            left();
        }
 
        sum += numbers[0];
    }
 
    public int getSum(){
        return sum;
    }
 
    private void north () {
        int[] tmp = numbers.clone();
        numbers[0] = tmp[1];
        numbers[1] = tmp[5];
        numbers[3] = tmp[0];
        numbers[5] = tmp[3];
    }
 
    private void east () {
        int[] tmp = numbers.clone();
        numbers[0] = tmp[4];
        numbers[2] = tmp[0];
        numbers[4] = tmp[5];
        numbers[5] = tmp[2];
    }
 
    private void west () {
        east(); east(); east();
    }
 
    private void south () {
        north(); north(); north();
    }
 
    private void right () {
        int[] tmp = numbers.clone();
        numbers[1] = tmp[2];
        numbers[2] = tmp[3];
        numbers[3] = tmp[4];
        numbers[4] = tmp[1];
    }
 
    private void left () {
        right(); right(); right();
    }
 
    public int top(){
        return numbers[0];
    }
 
    public int indexOf(int num){
        for(int i = 0; i < 6; i++){
            if(numbers[i] == num){
                return i;
            }
        }
 
        return -1;
    }
 
    public int number(int index){
        return numbers[index];
    }
    
    public boolean isSame(Dice d){
    	for(int i = 0; i < 6; i++){
    		if(d.number(i) != this.number(i)){
    			return false;
    		}
    	}
    	
    	return true;
    }
}