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;

int main(){
  char strs[8][8];
  for(int i = 0; i < 8; i++){
    scanf("%s", strs[i]);
  }
  printf("90\n");
  for(int i = 0; i < 8; i++){
    for(int j = 7; j >= 0; j--){
      printf("%c", strs[j][i]);
    }
    printf("\n");
  }
  printf("180\n");
  for(int i = 7; i >= 0; i--){
    for(int j = 7; j >= 0; j--){
      printf("%c", strs[i][j]);
    }
    printf("\n");
  }
  printf("270\n");
  for(int i = 7; i >= 0; i--){
    for(int j = 0; j < 8; j++){
      printf("%c", strs[j][i]);
    }
    printf("\n");
  }
  return 0;
}