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;
string b[8];
int main() {
    for (int i=0; i<8; i++) cin>>b[i];
    cout<<90<<endl;
    for (int i=0; i<8; i++) {
        for (int j=7; j>=0; j--) {
            cout<<b[j][i];
        }
        cout<<endl;
    }
    cout<<180<<endl;
    for (int i=7; i>=0; i--) {
        for (int j=7; j>=0; j--) {
            cout<<b[i][j];
        }
        cout<<endl;
    }
    cout<<270<<endl;
    for (int i=7; i>=0; i--) {
        for (int j=0; j<8; j++) {
            cout<<b[j][i];
        }
        cout<<endl;
    }
}