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>
#include <string>
#include <vector>
using namespace std;

int main () {
	vector<string> t(8);
	for (int i = 0; i < 8; i++) {
		cin >> t[i];
	}
	for (int i = 0; i < 3; i++) {
		vector<string> res = t;
		for (int y = 0; y < 8; y++) {
			for (int x = 0; x < 8; x++) {
				t[x][8 - y - 1] = res[y][x];
			}
		}
		cout << 90 * (i + 1) << endl;
		for (int j = 0; j < 8; j++) {
			cout << t[j] << endl;
		}
	}
	return 0;
}