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 sc = new Scanner(System.in);
        char[][] l = new char[8][8];
        for (int i = 0; i < 8; i++) {
            l[i] = sc.next().toCharArray();
        }
        char[][] t = new char[8][8];
        for (int i = 1; i < 4; i++) {
            System.out.println(i * 90);
            for (int j = 0; j < 8; j++) {
                for (int k = 0; k < 8; k++) {
                    t[j][k] = l[7 - k][j];
                    System.out.print(t[j][k]);
                }
                System.out.println();
            }
            for (int j = 0; j < 8; j++) {
                l[j] = t[j].clone();
            }
        }
    }
}