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 <bits/stdc++.h>

using namespace std;
using ll = long long;
using pii = pair<int, int>;

int main() {
  cin.tie(0);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(10);
  
  string s[8];
  for (int i = 0; i < 8; i++) {
    cin >> s[i];
  }
  cout << "90" << endl;
  for (int j = 0; j < 8; j++) {
    for (int i = 0; i < 8; i++) {
      cout << s[7 - i][j];
    }
    cout << endl;
  }
  cout << "180" << endl;
  for (int i = 0; i < 8; i++) {
    for (int j = 0; j < 8; j++) {
      cout << s[7 - i][7 - j];
    }
    cout << endl;
  }
  cout << "270" << endl;
  for (int j = 0; j < 8; j++) {
    for (int i = 0; i < 8; i++) {
      cout << s[i][7 - j];
    }
    cout << endl;
  }

  return 0;
}