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<cstdio>
#include<iostream>
#include<string>
#include<cmath>
#include<vector>
#include<stack>
#include<queue>
#include<algorithm>
#include<complex>
using namespace std ;
typedef vector<int> vi ;
typedef vector<vi> vvi ;
typedef vector<string> vs ;
typedef pair<int, int> pii; 
typedef long long ll ;

#define loop(i,a,b) for(int i = a ; i < b ; i ++)
#define rep(i,a) loop(i,0,a)
#define all(a) (a).begin(),(a).end()


int main(void){
  vector<string > buf(8);
  rep(i,8){
    cin>>buf[i];
  }


  cout<<"90"<<endl;
  rep(i,8){
    rep(j,8){
      cout<<buf[7-j][i];
    }
    cout<<endl;
  }

  cout<<"180"<<endl;
  rep(i,8){
    rep(j,8){
      cout<<buf[7-i][7-j];
    }
    cout<<endl;
  }

  cout<<"270"<<endl;
  rep(i,8){
    rep(j,8){
      cout<<buf[j][7-i];
    }
    cout<<endl;
  }  
}