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.util.Scanner;

class Main{
	public static void main(String[] args)throws NumberFormatException, IOException{
		Scanner scan = new Scanner(System.in);
		int dice1[] = new int[6];
		int dice2[] = new int[6];
		boolean sameDice = false;
		
		diceClass dice = new diceClass();

		for (int i=0;i<6;i++){
			dice1[i] = scan.nextInt();
		}
		for (int i=0;i<6;i++){
			dice2[i] = scan.nextInt();
			dice.pos[i] = dice2[i];
		}
		int compareNum [] = dice2.clone();

		for(int i=0;i<4;i++){			//??¨???????????????????????§????????¢????????°??±???????????????????????????
			for(int ii=0;ii<4;ii++){
				for(int iii=0;iii<4;iii++){
					sameDice = dice.compare(dice1, compareNum);
					if(sameDice == true){
						break;
					}
					compareNum = dice.move(i);
					sameDice = dice.compare(dice1, compareNum);
					if(sameDice == true){
						break;
					}
					compareNum = dice.move(ii);
					sameDice = dice.compare(dice1, compareNum);
					if(sameDice == true){
						break;
					}
					compareNum = dice.move(iii);
					sameDice = dice.compare(dice1, compareNum);
					if(sameDice == true){
						break;
					}
				}
			}
			if(sameDice == true){
				break;
			}
		}
		if(sameDice == true){
			System.out.println("Yes");
		}
		else{
			System.out.println("No");
		}
	}
}

class diceClass{	
	int pos[] = new int[6];
	int up0[] = {1,2,4,3};
	int up1[] = {0,3,5,2};
	int up2[] = {0,1,5,4};
	int up3[] = {0,4,5,1};
	int up4[] = {0,2,5,3};
	int up5[] = {1,3,4,2};
	public diceClass(){

	}

	public int[] move(int direction){		//?????????????????¢?????????????????°??????????????????????????????
		int[] temp = (int[])pos.clone();
		if(direction == 0){
			pos[0] = temp[1];
			pos[1] = temp[5];
			pos[2] = temp[2];
			pos[3] = temp[3];
			pos[4] = temp[0];
			pos[5] = temp[4];
		}
		else if(direction == 1){
			pos[0] = temp[3];
			pos[1] = temp[1];
			pos[2] = temp[0];
			pos[3] = temp[5];
			pos[4] = temp[4];
			pos[5] = temp[2];
		}
		else if(direction == 2){
			pos[0] = temp[2];
			pos[1] = temp[1];
			pos[2] = temp[5];
			pos[3] = temp[0];
			pos[4] = temp[4];
			pos[5] = temp[3];
		}
		else if(direction == 3){
			pos[0] = temp[4];
			pos[1] = temp[0];
			pos[2] = temp[2];
			pos[3] = temp[3];
			pos[4] = temp[5];
			pos[5] = temp[1];
		}
		return pos;
	}

	public boolean compare(int[] n1,int[] n2){		//????????????????????????????????§???????????????????????????
		if(n1[0] == n2[0] && n1[1] == n2[1] && n1[2] == n2[2]
				&& n1[3] == n2[3] && n1[4] == n2[4] && n1[5] == n2[5]){
			return true;
		}
		else{
			return false;
		}
	}
}