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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String line = "";

		char[][] pattern = new char[8][8];
		for (int i = 0; i < 8; i++) {
			line = br.readLine();
			for (int j = 0; j < 8; j++) {
				pattern[i][j] = line.charAt(j);
			}
		}
		for (int i = 1; i <= 3; i++) {
			pattern = rotate(pattern);
			System.out.println(i * 90);
			for (int j = 0; j < 8; j++) {
				System.out.println(new String(pattern[j]));
			}
		}
	}

	static char[][] rotate(char[][] pattern) {
		char[][] rotate = new char[8][8];
		for (int i = 0; i < 8; i++) {
			for (int j = 0; j < 8; j++) {
				rotate[j][7 - i] = pattern[i][j];
			}
		}
		return rotate;
	}
}