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 <cstdio>
using namespace std;

char M[3][8][8];
int main() {
  
  char dum;
  for(int i = 0; i < 8; i++) {
    for(int j = 0; j < 8; j++) {
      scanf("%c", &M[0][i][j]);
    }
    scanf("%c", &dum);
  }
  
  
  for(int k = 0; k < 3; k++) {
    cout << 90*(k+1) << endl;
    for(int i = 0; i < 8; i++) {
      for(int j = 0; j < 8; j++) {
	cout << M[k][7-j][i];
	if(k!=2) M[k+1][i][j] = M[k][7-j][i];
      }
      cout << endl;
    }
  }
  return 0;
}