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<bits/stdc++.h>
using namespace std;
int main(){
  
  string str[8];
  
  for(int i=0 ; i < 8 ; i++)cin >>str[i];
  
  cout <<"90"<<endl;
  for(int i=0 ; i < 8 ; i++){
    for(int j=7 ; j >= 0 ; j--){
      cout <<str[j][i];
    }
    cout <<endl;
  }
  cout <<"180"<<endl;
  for(int i=7 ; i >=0 ; i--){
    for(int j=7 ; j >= 0 ;j--){
      cout <<str[i][j];
    }
    cout <<endl;
  }
  cout <<"270"<<endl;
  for(int i=7 ; i >= 0 ; i--){
    for(int j=0 ; j < 8 ; j++){
      cout <<str[j][i];
    }
    cout <<endl;
  }
  return 0;
}