Problem:
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Dice III

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.

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.

Constraints

$0 \leq $ the integer assigned to a face $ \leq 100$

Sample Input 1

1 2 3 4 5 6
6 2 4 3 5 1

Sample Output 1

Yes

Sample Input 2

1 2 3 4 5 6
6 5 4 3 2 1

Sample Output 2

No

Solution in JAVA (judge verdict: Time Limit Exceeded)

import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		Main dice = new Main(sc);



		int ansTop = sc.nextInt();
		int ansSouth = sc.nextInt();
		int ansEast = sc.nextInt();
		int ansWest = sc.nextInt();
		int ansNorth = sc.nextInt();
		int ansBottom = sc.nextInt();

		if(ansTop == dice.south || ansTop == dice.north || ansTop == dice.bottom) {
			while(ansTop != dice.top) {
				dice.goNorth();
			}
		} else if(ansTop == dice.west || ansTop == dice.east) {
			while(ansTop != dice.top) {
				dice.goEast();
			}
		}

		while(ansSouth != dice.south) {
			dice.spin();
		}

		if(ansEast == dice.east && ansWest == dice.west && ansNorth == dice.north && ansBottom == dice.bottom) {
			System.out.println("Yes");
		}  else {
			System.out.println("No");
		}




	}

	int top;
	int south;
	int east;
	int west;
	int north;
	int bottom;


	public Main(Scanner sc) {
		this.top = sc.nextInt();
		this.south = sc.nextInt();
		this.east = sc.nextInt();
		this.west = sc.nextInt();
		this.north = sc.nextInt();
		this.bottom = sc.nextInt();
	}

	public void goNorth() {
		int t = this.top;
		int s = this.south;
		int e = this.east;
		int w = this.west;
		int n = this.north;
		int b = this.bottom;

		this.top = s;
		this.south = b;
		this.north = t;
		this.bottom = n;
	}

	public void goSouth() {
		int t = this.top;
		int s = this.south;
		int e = this.east;
		int w = this.west;
		int n = this.north;
		int b = this.bottom;

		this.top = n;
		this.south = t;
		this.north = b;
		this.bottom = s;
	}

	public void goEast() {
		int t = this.top;
		int s = this.south;
		int e = this.east;
		int w = this.west;
		int n = this.north;
		int b = this.bottom;

		this.top = w;
		this.east = t;
		this.west = b;
		this.bottom = e;
	}

	public void goWest() {
		int t = this.top;
		int s = this.south;
		int e = this.east;
		int w = this.west;
		int n = this.north;
		int b = this.bottom;

		this.top = e;
		this.east = b;
		this.west = t;
		this.bottom = w;
	}

	public void spin() {
		int t = this.top;
		int s = this.south;
		int e = this.east;
		int w = this.west;
		int n = this.north;
		int b = this.bottom;


		this.south = w;
		this.east = s;
		this.west = n;
		this.north = e;


	}


	public int getTop() {
		return this.top;
	}

	public int getEast() {
		return this.east;
	}
}