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 <string>
#include <vector>
using namespace std;

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