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 Dice3{
	int a[] = new int[6];
	int temp;
	Dice3(int face[]){
		for(int i = 0; i < 6; i++) {
			a[i] = face[i];
		}
	}

	void roll(char c) {
		switch(c) {
		case 'E':
			temp = a[5];
			a[5] = a[2];
			a[2] = a[0];
			a[0] = a[3];
			a[3] = temp;
			break;
		case 'N':
			temp = a[5];
			a[5] = a[4];
			a[4] = a[0];
			a[0] = a[1];
			a[1] = temp;
			break;
		case 'S':
			temp = a[5];
			a[5] = a[1];
			a[1] = a[0];
			a[0] = a[4];
			a[4] = temp;
			break;
		case 'W':
			temp = a[5];
			a[5] = a[3];
			a[3] = a[0];
			a[0] = a[2];
			a[2] = temp;
			break;
		}
	}
	void rota() {  //横方向の回転をさせるメソッド
		temp = a[1];
		a[1] = a[2];
		a[2] = a[4];
		a[4] = a[3];
		a[3] = temp;
	}
}

public class Main {

	public static void main(String[] args) {
		// TODO 自動生成されたメソッド・スタブ
		Scanner sc = new Scanner(System.in);
		int face1[] = new int[6];  //1つめのサイコロ
		int face2[] = new int[6];  //2つめのサイコロ
		for(int i = 0; i < 6; i++) {
			face1[i] = sc.nextInt();
		}
		for(int i = 0; i < 6; i++) {
			face2[i] = sc.nextInt();
		}

		char com[] = new char[] {'E', 'E', 'E', 'N', 'N', 'N', 'N'};

		//2つめのサイコロをDiceクラスのインスタンスとして考える
		Dice3 d3 = new Dice3(face2);
		boolean frag = false;  //判定が終了したらtrueにする

		for(int i = 0; i < 7; i++) {  //rollのループ //なぜ7回の操作が必要なのか？
			for(int j = 0; j < 4; j++) {  //rotaのループ
				if(d3.a[0] == face1[0] && d3.a[1] == face1[1] && d3.a[2] == face1[2] && d3.a[3] == face1[3] && d3.a[4] == face1[4] && d3.a[5] == face1[5]) {
					System.out.println("Yes");
					frag = true;
					break;
				}
				if(frag == true) break;
				d3.rota();
			}
			d3.roll(com[i]);
		}
		if(frag == false) System.out.println("No");
	}
}
