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 CPP):

Solution:
#include <iostream>
using namespace std;

int main() {
    char input[8][9] = {};
    for (int i = 0; i < 8; i++) {
        cin >> input[i];
    }
    for (int i = 0; i < 3; i++) {
        cout << (i + 1) * 90 << endl;
        char output[8][9] = {};
        for (int y = 0; y < 8; y++) {
            for (int x = 0; x < 8; x++) {
                output[y][x] = input[7 - x][y];
            }
        }
        for (int j = 0; j < 8; j++) {
            cout << output[j] << endl;
        }
        for (int y = 0; y < 8; y++) {
            for (int x = 0; x < 8; x++) {
                input[y][x] = output[y][x];
            }
        }
    }
}