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[4][8][8];

void rotate90AndDisp(int k) {
  for(int i=0;i<8;i++) {
    for(int j=0;j<8;j++) {
      M[k+1][i][j] = M[k][7-j][i];
      cout<<M[k+1][i][j];
    }
    cout<<endl;
  }
}

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

  for(int k=0; k<3; k++) {
    cout<<90*(k+1)<<endl;
    rotate90AndDisp(k);
  }
  
  return 0;
}