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>
using namespace std;

int main() {


  string a[8],b[8];

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


  for(int k=1;k<=3;k++) {
    cout << k*90 << endl;
  
  for(int i=0;i<8;i++){
    for(int j=0;j<8;j++){
      a[i][j] = b[7-j][i];
    }
  }

  for(int i=0;i<8;i++) b[i] = a[i];

  for(int i=0;i<8;i++)
    cout << a[i] << endl;
  }

  return 0;
}