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;

char m[8][9];

void disp(){
  for(int i=0; i<8; i++)
    cout << m[i] << endl;
}

void rot(){
  for(int i=0; i<4; i++)
    for(int j=0; j<4; j++){
      char c = m[i][j];
      m[i][j] = m[7-j][i];
      m[7-j][i] = m[7-i][7-j];
      m[7-i][7-j] = m[j][7-i];
      m[j][7-i] = c;
    }
}

int main(void){
  for(int i=0; i<8; i++)
    cin >> m[i];
  //disp();
  rot();
  cout << 90 << endl;
  disp();
  rot();
  cout << 180 << endl;
  disp();
  rot();
  cout << 270 << endl;
  disp();
  return 0;
}