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>
#include <vector>

using namespace std;

int main(void){
  string str;
  vector<string> arg;

  while(cin >> str){
	arg.push_back(str);
  }

  cout << 90 << endl;
  for(int i=0;i<8;i++){
	for(int j=0;j<8;j++){
	  cout << arg[7-j][i];
	}
	cout << endl;
  }
  cout << 180 << endl;
  for(int i=0;i<8;i++){
	for(int j=0;j<8;j++){
	  cout << arg[7-i][7-j];
	}
	cout << endl;
  }

  cout << 270 << endl;
  for(int i=0;i<8;i++){
	for(int j=0;j<8;j++){
	  cout << arg[j][7-i];
	}
	cout << endl;
  }
}