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<cmath>
#include<vector>
#include<string>
typedef unsigned long long ull;
#define rep(i,a) for(int i=0;i<a;i++)
#define loop(i,a,b) for(int i=a;i<b;i++)
using namespace std;
const double eps = 1e-10;
const double pi = acos(-1);
const double inf = (int)1e8;

void solve(){
  vector<vector<char> > maze(8,vector<char>(8));
  rep(i,8)rep(j,8)cin>>maze[i][j];
  int rand = 0;
  
  rep(i,3){
    vector<vector<char> >  move(8,vector<char>(8));
    cout<<(rand+=90)<<endl;
    
    rep(i,8)rep(j,8)
	move[i][j]=maze[7-j][i];
    rep(i,8){
      rep(j,8)cout<<move[i][j];
      cout<<endl;
    }
    maze=move;
    //if(maze==move)cout<<"OK!"<<endl;
  }
}

int main(void){
  solve();
  return 0;
}