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 final int BIG_NUM  = 2000000000;
	public static final int MOD  = 1000000007;

	public static void main(String[] args) {

		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		try {

			String str[] = br.readLine().split("\\s+");
			int array[] = new int[str.length];

			for(int i = 0; i < str.length; i++){
				array[i] = Integer.parseInt(str[i]);
			}

			Dice dice = new Dice();
			dice.setNumber(array[0], array[1], array[2], array[3], array[4], array[5]);


			str = br.readLine().split("\\s+");
			for(int i = 0; i < str.length; i++){
				array[i] = Integer.parseInt(str[i]);
			}
			Dice dice2 = new Dice();
			dice2.setNumber(array[0], array[1], array[2], array[3], array[4], array[5]);

			if(dice.equals(dice2)){
				System.out.println("Yes");
			}else{
				System.out.println("No");
			}

		} catch (IOException e) {
			e.printStackTrace();
		}
	}
}

class Dice{

	private int number[];
	private int work[];
	private final String order = "NNNNWNNNWNNNENNNENNNWNNN";

	Dice(){
		number = new int[6];
		work = new int[6];
	}


	public void roll(char dst){
		for(int i = 0; i < 6; i++) work[i] = number[i];
		switch(dst){
		case 'E':
			setNumber(work[3],work[1],work[0],work[5],work[4],work[2]);
			break;
		case 'N':
			setNumber(work[1],work[5],work[2],work[3],work[0],work[4]);
			break;
		case 'S':
			setNumber(work[4],work[0],work[2],work[3],work[5],work[1]);
			break;
		case 'W':
			setNumber(work[2],work[1],work[5],work[0],work[4],work[3]);
			break;
		}
	};

	public int query(int top_num,int front_num){

		int save_data[] = new int[6];
		for(int i = 0; i < number.length; i++){
			save_data[i] = number[i];
		}

		int ret = -1;

		for(int i = 0; i < order.length(); i++){
			roll(order.charAt(i));
			if(number[0] == top_num && number[1] == front_num){
				ret = number[2];
				break;
			}
		}

		for(int i = 0; i < save_data.length; i++){
			number[i] = save_data[i];
		}

		return ret;
	}

	public int getTop(){
		return number[0];
	}

	public void setNumber(int n0,int n1,int n2,int n3,int n4,int n5){
		number[0] = n0;
		number[1] = n1;
		number[2] = n2;
		number[3] = n3;
		number[4] = n4;
		number[5] = n5;
	}

	public boolean equals(Object object){

		if(object == this)return true;
		if(object == null)return false;
		if(!(object instanceof Dice))return false;

		Dice another = (Dice)object;

		boolean FLG;

		for(int i = 0; i < order.length(); i++){
			roll(order.charAt(i));
			FLG = true;
			for(int k = 0; k < 6; k++){
				if(this.number[k] != another.number[k]){
					FLG = false;
					break;
				}
			}
			if(FLG)return true;
		}

		return false;
	}
};

