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.*;

public class Main{

    private static Dice dice1;
    private static Dice dice2;

    public static void main(String... args) {
        readStanderdInput();
        DiceOperator diceOperator = new DiceOperator();
        System.out.println(diceOperator.isSame(dice1, dice2) ? "Yes" : "No" );
    }


    private static void readStanderdInput() {
        Scanner s = new Scanner(System.in);
        dice1 = new Dice(s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt());
        s.nextLine();
        dice2 = new Dice(s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt(), s.nextInt());
        s.nextLine();
        s.close();
    }
}

class DiceOperator {

    void roll(Dice dice, List<Instruction> instructions){

        for (Instruction instruction : instructions){
            switch (instruction) {
                case EAST:
                    dice.rollToEast();
                    break;
                case WEST:
                    dice.rollToWest();
                    break;
                case NORTH:
                    dice.rollToNorth();
                    break;
                case SOUTH:
                    dice.rollToSouth();
            }
        }
    }

    public Dice rollDiceTopAndFrontTo(int top, int front, Dice dice) {

        roll_front_loop:
        while (true) {
            for (int i = 0; i < 4; i++) {
                dice.rollToSouth();
                if (front == dice.front()) break roll_front_loop;
            }
            dice.rollToWest();
        }

        while (true) {
            if (top == dice.top()) break;
            dice.rollToWest();
        }

        return dice;
    }

    public boolean isSame(Dice dice1, Dice dice2) {
        for (int i = 0; i < 4; i++) {
            for (int j = 0; j < 4; j++) {
                for (int k = 0; k < 4; k++) {
                    if (dice1.equals(dice2)) return true;
                    dice2.rotateToRight();
                }
                dice2.rollToNorth();
            }
            dice2.rollToWest();
        }
        return false;
    }
}

class Dice implements Cloneable {

    private static final String TOP = "TOP";
    private static final String FRONT = "FRONT";
    private static final String LEFT = "LEFT";
    private static final String RIGHT = "RIGHT";
    private static final String BACK = "BACK";
    private static final String BOTTOM = "BOTTOM";

    private Map<String, Integer> positions = new HashMap<>();

    Dice(int top, int front, int left, int right, int back, int bottom) {
        setPositions(top, front, left, right, back, bottom);
    }

    void rollToWest() {
        setPositions(positions.get(LEFT), positions.get(FRONT), positions.get(BOTTOM), positions.get(TOP), positions.get(BACK), positions.get(RIGHT));
    }

    void rollToEast() {
        setPositions(positions.get(RIGHT), positions.get(FRONT), positions.get(TOP), positions.get(BOTTOM), positions.get(BACK), positions.get(LEFT));
    }

    void rollToNorth() {
        setPositions(positions.get(FRONT), positions.get(BOTTOM), positions.get(LEFT), positions.get(RIGHT), positions.get(TOP), positions.get(BACK));
    }


    void rollToSouth() {
        setPositions(positions.get(BACK), positions.get(TOP), positions.get(LEFT), positions.get(RIGHT), positions.get(BOTTOM), positions.get(FRONT));
    }

    void  rotateToRight() {
        setPositions(positions.get(TOP), positions.get(LEFT), positions.get(BACK), positions.get(FRONT), positions.get(RIGHT), positions.get(BOTTOM));
    }

    private void setPositions(int top, int front, int left, int right, int back, int bottom){
        positions.put(TOP, top);
        positions.put(FRONT, front);
        positions.put(LEFT, left);
        positions.put(RIGHT, right);
        positions.put(BACK, back);
        positions.put(BOTTOM, bottom);
    }

    int top() {
        return positions.get(TOP);
    }

    int front() {
        return positions.get(FRONT);
    }

    int left() {
        return positions.get(LEFT);
    }

    int right() {
        return positions.get(RIGHT);
    }

    int back() {
        return positions.get(BACK);
    }

    int bottom() {
        return positions.get(BOTTOM);
    }

    boolean equals(Dice dice) {

        if (!(this.top() == dice.top())) return false;
        if (!(this.left() == dice.left())) return false;
        if (!(this.right() == dice.right())) return false;
        if (!(this.front() == dice.front())) return false;
        if (!(this.back() == dice.back())) return false;
        if (!(this.bottom() == dice.bottom())) return false;

        return true;
    }
}

enum Instruction {
    EAST,
    WEST,
    SOUTH,
    NORTH,
}