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;

class Main {
    private static void solve() {
        Scanner scanner = new Scanner(System.in);
        char[][] pattern = new char[8][];
        
        for (int i = 0; i < 8; i++) {
            pattern[i] = scanner.next().toCharArray();
        }

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

        System.out.println(180);
        for (int i = 7; i >= 0; i--) {
            for (int j = 7; j >= 0; j--) {
                System.out.print(pattern[i][j]);
            }
            System.out.println();
        }

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

    }

    public static void main(String... args) {
        solve();
    }
}