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