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>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
int main()
{
    vector<vector<string> > s(2, vector<string>(8, string(8, '.')));
    rep(i, 8) cin >> s[0][i];
    rep(k, 3) {
        cout << 90 * (k + 1) << endl;
        rep(i, 8) rep(j, 8) s[(k+1)%2][i][j] = s[k%2][7-j][i];
        rep(i, 8) cout << s[(k+1)%2][i] << endl;
    }
    return 0;
}