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.Scanner;

//Rotation of a Pattern
public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		char[][] s = new char[8][8];
		for(int i=0;i<8;i++)s[i]=sc.next().toCharArray();
		for(int r=90;r<=270;r+=90){
			System.out.println(r);
			char[][] t = new char[8][8];
			for(int i=0;i<8;i++){
				for(int j=0;j<8;j++)t[i][j]=s[7-j][i];
				System.out.println(new String(t[i]));
			}
			s = t;
		}
	}
}