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 {

		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		Cube cube01 = new Cube(br);
		Cube cube02 = new Cube(br);
		
		
		
		//char[] act = br.readLine().toCharArray();
		//cube.roll(act);
		//int count = Integer.parseInt(br.readLine());
		//for(int i = 0; i < count; i++){
		boolean ans = cube01.trace(cube01,cube02);
			if(ans == true){
				System.out.println("Yes");
		}else{
			System.out.println("No");
		}
		
		//}
		//System.out.println(cube.top);
	}
}

class Cube {
	String[] num;
	String top;
	String center;
	String back;
	String bottom;
	String right;
	String left;
	String temp;

	Cube(BufferedReader br) throws IOException {
		num = br.readLine().split(" ");
		this.top = num[0];
		this.center = num[1];
		this.right = num[2];
		this.left = num[3];
		this.back = num[4];
		this.bottom = num[5];
	}

	void south() {
		temp = this.top;
		this.top = this.back;
		this.back = this.bottom;
		this.bottom = this.center;
		this.center = temp;
	}

	void north() {
		temp = this.top;
		this.top = this.center;
		this.center = this.bottom;
		this.bottom = this.back;
		this.back = temp;
	}

	void east() {
		temp = this.top;
		this.top = this.left;
		this.left = this.bottom;
		this.bottom = this.right;
		this.right = temp;
	}

	void west() {
		temp = this.top;
		this.top = this.right;
		this.right = this.bottom;
		this.bottom = this.left;
		this.left = temp;
	}

	void roll(char[] act) {
		for (int i = 0; i < act.length; i++) {
			switch (act[i]) {
			case 'S':
				south();
				break;
			case 'N':
				north();
				break;
			case 'E':
				east();
				break;
			case 'W':
				west();
				break;
			}
		}
	}
	
	void turnRight(){
		temp = this.center;
		this.center = this.left;
		this.left = this.back;
		this.back = this.right;
		this.right = temp;
	}
	
	void search(BufferedReader br) throws IOException {
		
		String[] numList = br.readLine().split(" ");
		for (int i = 0; i < 6; i++) {
			if (i == 3) {
				this.east();
				}
			if (numList[1].equals(this.center)){
				break;
				} else {
				this.north();
				}
		}
		while (true) 
			if (numList[0].equals(this.top)) {
				break;
				} else {
				this.west();
				}
		System.out.println(right);
	}
	
	void setUpside(int top,Cube cube) throws IOException{
		
		for(int i = 0; i < 7; i++){
			if(cube.top.equals(top)){
				break;
			}
			if(i == 3){
				cube.east();
				
			}
			cube.north();	
		}
	}

	boolean trace(Cube cube01, Cube cube02) {

		boolean ans = false;

		for (int i = 0; i < 8; i++) {
			cube02.north();
			//System.out.print("???");
			if (cube02.top.equals(cube01.top)) {
				for (int j = 0; j < 5; j++) {
					cube02.turnRight();
					if (cube02.right.equals(cube01.right) && cube02.center.equals(cube01.center)
							&& cube02.left.equals(cube01.left) && cube02.back.equals(cube01.back)
							&& cube02.bottom.equals(cube01.bottom)) {
						ans = true;
					}
				}
			}
			if (i == 3) {
				cube02.east();
				//System.out.print("?\?");
			}
		}
		return ans;
	}
}