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 c[8][8];

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

    cout << 90 << endl;
    for( int j = 0; j < 8; j++ )
    {
        for( int i = 7; i >= 0; i-- )
            cout << c[i][j];
        cout << endl;
    }
    

    cout << 180 << endl;
    for( int i = 7; i >= 0; i-- )
    {
        for( int j = 7; j >= 0; j-- )
            cout << c[i][j];
        cout << endl;
    }

    cout << 270 << endl;
    for( int j = 7; j >= 0; j-- )
    {
        for( int i = 0; i < 8; i++ )
            cout << c[i][j];
        cout << endl;
    }

    return 0;
}