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;

char grid[8][8];

void rotate90() {
  char temp[8][8];
  
  for(int i=0; i<8; i++) {
    for(int j=0; j<8; j++) {
      temp[i][j] = grid[8-j-1][i];
    }
  }
  
  memcpy(grid, temp, sizeof(grid));
  
}

int main() {
  
  for(int i=0; i<8; i++)
    for(int j=0; j<8; j++) cin >> grid[i][j];

  for(int i=0; i<3; i++) {
    cout << (i+1)*90 << endl;
    rotate90();
    
    for(int j=0; j<8; j++) {
      for(int k=0; k<8; k++) {
	cout << grid[j][k];
      }
      cout << endl;
    }

  }
  
  return 0;
}