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 <bits/stdc++.h>
using namespace std;

int main() {
    vector<string> d(8);
    for (auto& i : d) cin >> i;

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

    cout << 180 << endl;
    for (int i = 0; i < 8; i++) {
        for (int j = 0; j < 8; j++) {
            cout << d[7 - i][7 - j];
        }
        cout << endl;
    }

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

    return 0;
}