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;

public class Main {

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int MAX = 8;
		char[][] map = new char[MAX][MAX];
		for (int i = 0; i < MAX; i++) {
			map[i] = scanner.next().toCharArray();
		}
		for (int n = 1; n < 4; n++) {
			char[][] tmp = new char[MAX][MAX];
			System.out.println(n * 90);
			for (int i = 0; i < MAX; i++) {
				for (int j = 0; j < MAX; j++) {
					tmp[i][j] = map[MAX - 1 - j][i];
					System.out.print(tmp[i][j]);
				}
				System.out.println();
			}
			map = tmp;
		}
	}
}