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 c[10][10] = {};

void view(){
	for(int i = 0 ; i < 8 ; i++){
		for(int j = 0 ; j < 8 ; j++)
			cout << c[i][j];
		cout << endl;
	}
}
int main(){
	for(int i = 0 ; i < 8 ; i++)
		for(int j = 0 ; j < 8 ; j++)
			cin >> c[i][j];
	for(int i = 1 ; i <= 3 ; i++){
		cout << i * 90 << endl;
		for(int j = 0 ; j < 8 ; j++)
			for(int k = j+1 ; k < 8 ; k++)
				swap(c[j][k],c[k][j]);
		for(int j = 0 ; j < 8 ; j++){
			for(int k = 0 ; k < 4 ; k++)
				swap(c[j][k],c[j][7-k]);
		}
		view();
	}
	
}