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: Accepted)

import java.util.Scanner;

public class Main {
	public static void main(String[] args){
		Scanner std = new Scanner(System.in);
		int defaultpip[] = new int[6];

		for(int i=0; i<6; i++){
			defaultpip[i] = Integer.parseInt(std.next());
		}
		Dice dc1 = new Dice(defaultpip);

		int defaultpip2[] = new int[6];
		for(int i=0; i<6; i++){
			defaultpip2[i] = Integer.parseInt(std.next());
		}
		Dice dc2 = new Dice(defaultpip2);

		//??¬???????????¬???
		String query[] = {"S", "W", "N", "E"};

		boolean same = false;
		for(int i = 0; i<1000; i++){
			if(dc1.issame(dc2)){
				same = true; break;
			}else{
				dc1 = dc1.newnowpips(query[(int)(Math.random()*4)]);
			}
		}
		if(same){
			System.out.println("Yes");
		}else{
			System.out.println("No");
		}
	}
}

class Dice {
	int pips[];
	int nowpip;
	int spip;
	int epip;
	int wpip;
	int npip;
	int rpip;

	public Dice(int pip[]){
		this(pip, 0, 1, 2, 3, 4, 5);
	}

	public Dice(int pip[], int now, int s, int e, int w, int n, int r){
		pips = pip;
		nowpip = now;
		spip = s;
		epip = e;
		wpip = w;
		npip = n;
		rpip = r;
	}

	public Dice newnowpips(String query){
		if(query.equals("N")){
			return new Dice(pips,spip,rpip,epip,wpip,nowpip,npip);
		}else if(query.equals("E")){
			return new Dice(pips,wpip,spip,nowpip,rpip,npip,epip);
		}else if(query.equals("S")){
			return new Dice(pips,npip,nowpip,epip,wpip,rpip,spip);
		}else if(query.equals("W")){
			return new Dice(pips,epip,spip,rpip,nowpip,npip,wpip);
		}else {	//clockwise
			return new Dice(pips,nowpip,epip,npip,wpip,spip,rpip);
		}
	}

	public String showdice(){
		return pips[nowpip] +" "+ pips[spip] +" "+ pips[epip] +" "+ pips[wpip] +" "+ pips[npip] +" "+ pips[rpip];
	}

	public boolean issame(Dice d2){
		return showdice().equals(d2.showdice());
	}
}