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>
#include <vector>

using namespace std;

char p[8][8];

void rotate() 
{
    char bp[8][8];
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            bp[i][j] = p[i][j];
        }
    }

    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            p[i][j] = bp[7 - j][i];
        }
    }
}

void disp()
{
    for (int i = 0; i < 8; i++){ 
        for (int j = 0; j < 8; j++) {
            cout << p[i][j];
        }
        cout << endl;
    }
}

int main()
{
    for (int i = 0; i < 8; i++) 
        for (int j = 0; j < 8; j++ )
            cin >> p[i][j];

    cout << "90" << endl;
    rotate();
    disp();

    cout << "180" << endl;
    rotate();
    disp();

    cout << "270" << endl;
    rotate();
    disp();

    
}