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

  cout << 90 << endl;
  for(int i = 0; i < 8; i++) {
    for(int j = 0; j < 8; j++) {
      cout << data[7-j][i];
    }
    cout << endl;
  }
  cout << 180 << endl;
  for(int i = 0; i < 8; i++) {
    for(int j = 0; j < 8; j++) {
      cout << data[7-i][7-j];
    }
    cout << endl;
  }
  cout << 270 << endl;
  for(int i = 0; i < 8; i++) {
    for(int j = 0; j < 8; j++) {
      cout << data[j][7-i];
    }
    cout << endl;
  }


  return 0;
}