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.util.Scanner;

class Main {
	public static void main(String args[]) {
		Scanner scanner = new Scanner(System.in);
		int dice_1[] = new int[6];
		int dice_2[] = new int[6];
		int pip[] = new int[6];
		int count = 0;
		int order = 0;
		boolean bdice_front = false;
		int dice_front = 0;
		boolean bdice_up = false;
		int dice_up = 0;
		boolean judge = false;
		
		//サイコロの目の入力
		dice_1 =  make_dice(scanner);
		dice_2 =  make_dice(scanner);
		
		pip = dice_1;
		
		//命令数実行
		do {
			dice_up = dice_2[0];
			dice_front = dice_2[1];
			bdice_front = false;
			bdice_up = false;
			
			for( int i = 0; i < 4; i ++ ){
				for( int j = 0; j < 2; j ++ ){
					if(!bdice_front) {
						for( int k = 0; k < 4; k ++ ){
							if( !bdice_front ) {
								pip = diceroll_s(pip);
								if( pip[1] == dice_front ){
									bdice_front = true;
								}
							}
						}
						pip = diceroll_e(pip);
					}
				}
				if( pip[0] == dice_up ){
					bdice_up = true;
					break;
				}
				pip = diceroll_e(pip);
				
			}
			
			if( dice_2[2] == pip[2] ){
				if( dice_2[3] == pip[3] ){
					if( dice_2[4] == pip[4] ){
						if( dice_2[5] == pip[5] ){
							judge = true;
						}
					}
				}
			}
			//右面出力
			if( judge ){
				System.out.println("Yes");
			}else{
				System.out.println("No");
			}
			
			count ++;
			if( count >= order){
				break;
			}
		}while(true );
		
		scanner.close();
	}
	
	public static int[] make_dice ( Scanner scanner){
		int dice[] = new int[6];
		
		for(int i = 0; i < 6; i ++){
			dice[i] = scanner.nextInt();
		}
		
		return dice;
	}

	public static int[] diceroll_n(int[] pip){
		int dice[] = new int[6];
		for(int i = 0; i < 6; i ++){
			dice[i] = pip[i];
		}
		pip[0] = dice[1];
		pip[1] = dice[5];
		pip[2] = dice[2];
		pip[3] = dice[3];
		pip[4] = dice[0];
		pip[5] = dice[4];
		
		return pip;
	}

	public static int[] diceroll_e (int[] pip){
		int dice[] = new int[6];
		for(int i = 0; i < 6; i ++){
			dice[i] = pip[i];
		}
		pip[0] = dice[3];
		pip[1] = dice[1];
		pip[2] = dice[0];
		pip[3] = dice[5];
		pip[4] = dice[4];
		pip[5] = dice[2];
		
		return pip;
	}

	public static int[] diceroll_w (int[] pip){
		int dice[] = new int[6];
		for(int i = 0; i < 6; i ++){
			dice[i] = pip[i];
		}
		pip[0] = dice[2];
		pip[1] = dice[1];
		pip[2] = dice[5];
		pip[3] = dice[0];
		pip[4] = dice[4];
		pip[5] = dice[3];
		
		return pip;
	}

	public static int[] diceroll_s (int[] pip){
		int dice[] = new int[6];
		for(int i = 0; i < 6; i ++){
			dice[i] = pip[i];
		}
		pip[0] = dice[4];
		pip[1] = dice[0];
		pip[2] = dice[2];
		pip[3] = dice[3];
		pip[4] = dice[5];
		pip[5] = dice[1];
		
		return pip;
	}
	
}

