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 <algorithm>
using namespace std;


int main() {
  string g[8];
  for(int i = 0; i < 8; ++i) cin >> g[i];
  for(int k = 0; k < 3; ++k) {
    cout << (k+1)*90 << endl;
    string h[8];
    fill(h, h+8, string(8, ' '));
    for(int i = 0; i < 8; ++i) {
      for(int j = 0; j < 8; ++j) {
        h[i][j] = g[8-j-1][i];
      }
    }
    for(int i = 0; i < 8; ++i) {
      g[i] = h[i];
      cout << g[i] << endl;
    }
  }
}