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.io.*;

class Dice {
	private int[] nums;
	public static final int DICEMAX = 6;
	public static final int TOP = 0;
	public static final int FRONT = 1;
	public static final int RIGHT = 2;
	public static final int LEFT = 3;
	public static final int BACK = 4;
	public static final int BOTTOM = 5;

	public static final int[] E = { TOP, LEFT, BOTTOM, RIGHT };
	public static final int[] N = { TOP, FRONT, BOTTOM, BACK };
	public static final int[] S = { TOP, BACK, BOTTOM, FRONT };
	public static final int[] W = { TOP, RIGHT, BOTTOM, LEFT };
	public static final int[] M = { FRONT, RIGHT, BACK, LEFT };
	
	public Dice( int nums[] ) {
		this.nums = new int[DICEMAX];
		for( int i=0; i<DICEMAX; i++ ) {
			this.nums[i] = nums[i];
		}
	}
	public void setDiceNums( int nums[] ) {
		for( int i=0; i<DICEMAX; i++ ) {
			this.nums[i] = nums[i];
		}
		return;
	}
	public int getDiceNum( int num ) {
		return this.nums[ num ];
	}
	public void toTop( int from ) {
		if( TOP == from ) {
			;
		} else if( FRONT == from ) {
			this.rotate( 'N' );
		} else if( RIGHT == from ) {
			this.rotate( 'W' );
		} else if( LEFT == from ) {
			this.rotate( 'E' );
		} else if( BACK == from ) {
			this.rotate( 'S' );
		} else if( BOTTOM == from ) {
			this.rotate( 'N' );
			this.rotate( 'N' );							
		}
		return;
	}

	public void rotate( char c ) {
		int tmp = 0;
		if( 'E' == c ) {
			tmp = this.nums[ E[0] ];
			for( int i=0; i<3; i++ ) {
				this.nums[ E[i] ] = this.nums[ E[i+1] ];
			}
			this.nums[ E[3] ] = tmp;
		} else if( 'N' == c ) {
			tmp = this.nums[ N[0] ];
			for( int i=0; i<3; i++ ) {
				this.nums[ N[i] ] = this.nums[ N[i+1] ];
			}
			this.nums[ N[3] ] = tmp;
		} else if( 'S' == c ) {
			tmp = this.nums[ S[0] ];
			for( int i=0; i<3; i++ ) {
				this.nums[ S[i] ] = this.nums[ S[i+1] ];
			}
			this.nums[ S[3] ] = tmp;
		} else if( 'W' == c ) {
			tmp = this.nums[ W[0] ];
			for( int i=0; i<3; i++ ) {
				this.nums[ W[i] ] = this.nums[ W[i+1] ];
			}
			this.nums[ W[3] ] = tmp;
		} else {
			tmp = this.nums[ M[0] ];
			for( int i=0; i<3; i++ ) {
				this.nums[ M[i] ] = this.nums[ M[i+1] ];
			}
			this.nums[ M[3] ] = tmp;
		
		}
		return;
	}
	
	
}

class Main {
	public static void main(String[] args) {
		BufferedReader kb = new BufferedReader( new InputStreamReader( System.in ) );
		try {
			int[] nums = new int[ Dice.DICEMAX ];
			int i, j;
			Dice[] dices = new Dice[2];
			for( i=0; i<2; i++ ) {
				j = 0;
				for( String num:  kb.readLine().split( " " ) ) {
					nums[j++] = Integer.parseInt( num );
				}
				dices[i] = new Dice( nums );
			}
			
			int isSame = 0;
			for( i=0; i<Dice.DICEMAX; i++ ) {
				if(  dices[0].getDiceNum( Dice.TOP ) == dices[1].getDiceNum( i ) ) {
					dices[1].toTop( i );
					isSame = 0;
					for( j=0; j<4; j++ ) {
						while( dices[0].getDiceNum( Dice.M[j] ) != dices[1].getDiceNum( Dice.FRONT ) ) {
							dices[1].rotate( 'M' );
							isSame++;
							if( 4 == isSame ) { break; }
						}
						if( isSame < 4 ) {
							for( isSame=0; isSame<Dice.DICEMAX ; isSame++ ) {
								if( dices[0].getDiceNum( isSame ) != dices[1].getDiceNum( isSame ) ) {
									break;
								}
							}
							if( Dice.DICEMAX == isSame ) { break; }
						}
					}
					if( Dice.DICEMAX == isSame ) { break; }
					dices[1].setDiceNums( nums );
				}
			}
			
				
			if( Dice.DICEMAX == isSame ) {
				System.out.println( "Yes" ); 
			} else {
				System.out.println( "No" ); 
			}

		} catch( IOException e ) {
			System.err.println( e );
		}
	}
}