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 data[9][9];
char out[9][9]; //出力用

void rotation90(){

  for(int i=0; i<8; i++) {
    for(int j=0; j<8; j++) {
      out[i][j] = data[7-j][i];
    }
  }

  for(int i=0; i<8; i++) {
    for(int j=0; j<8; j++) {
      cout<< out[i][j];
      data[i][j] = out[i][j];
    }
    cout<< endl;
  }

}

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

  for(int i=1; i<4; i++) {
    cout<< 90*i<< endl;
    rotation90();
  }

}