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(void){

  char r[8][8];

    for( int i = 0 ; i < 8 ; i++ ){
      for( int j = 0 ; j < 8 ; j++ ){
	cin >> r[i][j];
      }
    }

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

    cout << "180" << endl;
    for( int i = 7 ; i >= 0 ; i-- ){
      for( int j = 7 ; j >= 0 ; j-- ){
	cout << r[i][j];
      }
      cout << endl;
    }
 cout << "270" << endl;
    for( int i = 7 ; i >= 0 ; i-- ){
      for( int j = 0 ; j < 8 ; j++ ){
	cout << r[j][i];
      }
      cout << endl;
    }

  return 0;
}