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>

using namespace std;

char pattern[8][8];

void inline rotate90() {
  char o[8][8];
  for (int j = 0; j < 8; j++)
    for (int i = 0; i < 8; i++)
      o[j][i] = pattern[j][i];
  for (int j = 0; j < 8; j++)
    for (int i = 0; i < 8; i++)
      pattern[j][i] = o[7-i][j];
}

void inline print_pattern() {
  for (int j = 0; j < 8; j++) {
    for (int i = 0; i < 8; i++)
      cout << pattern[j][i];
    cout << endl;
  }
}

int main() {
  for (int j = 0; j < 8; j++)
    for (int i = 0; i < 8; i++)
      cin >> pattern[j][i];
  for (int i = 1; i <= 3; i++) {
    cout << i * 90 << endl;
    rotate90();
    print_pattern();
  }
  return 0;
}