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 <vector>
#include <string>
#include <algorithm>
using namespace std;

int main()
{
  vector<string> pattern(8), ans(8);
  for (int i = 0; i < 8; ++i) {
    cin >> pattern[i];
    ans[i] = pattern[i];
  }

  for (int r = 90; r <= 270; r += 90) {
    for (int i = 0; i < 8; ++i) {
      for (int j = 0; j < 8; ++j) 
	ans[j][7-i] = pattern[i][j];
    }

    cout << r << endl;
    for (int i = 0; i < 8; ++i)
      cout << ans[i] << endl;
    pattern = ans;
  }

  return 0;
}