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 <cstdio>
using namespace std;

char a[2][9][9];

void rotate(int f) {
  for (int i=0; i<8; i++) {
    for (int j=0; j<8; j++) {
      a[(f+1)&1][i][j] = a[f&1][7-j][i];
    }
  }
}

int main() {
  for (int i=0; i<8; i++) {
    scanf("%s", a[0][i]);
  }
  for (int i=0; i<3; i++) {
    rotate(i);
    printf("%d\n", 90*(i+1));
    for (int j=0; j<8; j++) {
      printf("%s\n", a[(i+1)&1][j]);
    }
  }
  return 0;
}