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;

string m[8], n[8];


int main(){
    for (int i = 0; i < 8; i++)	cin >> m[i];
    
    for (int i = 1; i <= 3; i++){
	
	for (int j = 0; j < 8; j++) n[j] = m[j];
	
	for (int k = 0; k < 8; k++){
	    for (int l = 0; l < 8; l++){
		n[k][l] = m[7-l][k];
	    }
	}
	for (int k = 0; k < 8; k++){
	    for (int l = 0; l < 8; l++){
		m[k][l] = n[k][l];
	    }
	}
	
	cout << i * 90 << endl;
	for (int l = 0; l < 8; l++) cout << n[l] << endl;
    }
}