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;

int main(){
  char mat[8][8];
  
  for(int i = 0 ; i < 8 ; i++)
    for(int j = 0 ; j < 8 ; j++)
      cin >> mat[i][j];

  cout << "90" << endl;
  for(int i = 0 ; i < 8 ; i++){
    for(int j = 0 ; j < 8 ; j++){
      cout << mat[8-j-1][i];
    }
    cout << endl;
  }
  
  cout << "180" << endl;
  for(int i = 0 ; i < 8 ; i++){
    for(int j = 0 ; j < 8 ; j++){
      cout << mat[8-i-1][8-j-1];
    }
    cout << endl;
  }  

  cout << "270" << endl;
  for(int i = 0 ; i < 8 ; i++){
    for(int j = 0 ; j < 8 ; j++){
      cout << mat[j][8-i-1];
    }
    cout << endl;
  }

  return 0;
}