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

int main() {
	string s[8];
	for(int i = 0; i < 8; i++)
		cin >> s[i];

	cout << 90 << endl;

	for(int y = 0; y < 8; y++) {
		for(int x = 0; x < 8; x++) {
			char c = s[7 - x][y];
			cout << c;
		}
		cout << endl;
	}

	cout << 180 << endl;

	for(int y = 0; y < 8; y++) {
		for(int x = 0; x < 8; x++) {
			char c = s[7 - y][7 - x];
			cout << c;
		}
		cout << endl;
	}

	cout << 270 << endl;

	for(int y = 0; y < 8; y++) {
		for(int x = 0; x < 8; x++) {
			char c = s[x][7 - y];
			cout << c;
		}
		cout << endl;
	}
}