Problem: Create a program that rotates the pattern of 8 characters x 8 lines clockwise by 90 degrees, 180 degrees, and 270 degrees and outputs it.



Input

A pattern consisting of 8 characters x 8 lines is given. Characters consist of alphanumeric characters, half-width pound'#', and asterisk'*'.

Output

Output the rotated pattern in the following format.


90 (fixed half-width numbers)
Pattern rotated 90 degrees
180 (fixed half-width numbers)
180 degree rotated pattern
270 (fixed half-width numbers)
Pattern rotated 270 degrees


Examples

Input

#*******
#*******
#*******
#*******
#*******
#*******
#*******
########


Output

90
########
#*******
#*******
#*******
#*******
#*******
#*******
#*******
180
########
*******#
*******#
*******#
*******#
*******#
*******#
*******#
270
*******#
*******#
*******#
*******#
*******#
*******#
*******#
########


Input

*******
*******
*******
*******
*******
*******
*******


Output

90

*******
*******
*******
*******
*******
*******
*******
180

*******#
*******#
*******#
*******#
*******#
*******#
*******#
270
*******#
*******#
*******#
*******#
*******#
*******#
*******#

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;

class Main {

    public static void main(String[] args) {

	final Scanner stdin = new Scanner(System.in);

	char[][] map = new char[8][];
	for ( int i = 0; i < 8; i++ ) {
	    map[i] = stdin.nextLine().toCharArray();
	}

	System.out.println(90);
	for ( int i = 0; i < 8; ++i ){
	    for( int j = 7; j >= 0; j-- ) {
		System.out.print( map[j][i] );
	    }
	    System.out.println();
	}
	
	System.out.println(180);
	for ( int i = 7; i >= 0; i-- ){
	    for( int j = 7; j >= 0; j-- ) {
		System.out.print( map[i][j] );
	    }
	    System.out.println();
	}
	
	System.out.println(270);
	for ( int i = 7; i >= 0; i-- ){
	    for( int j = 0; j < 8; j++ ) {
		System.out.print( map[j][i] );
	    }
	    System.out.println();
	}
    }    
}