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> v;
	for(int i = 0; i < 8; i++) {
		string s;
		cin >> s;
		v.push_back(s);
	}

	for(int i = 1; i <= 3; i++) {
		cout << i * 90 << endl;
		for(int j = 0; j < 8; j++) {
			for(int k = 0; k < 8; k++) {
				char c;
				switch(i) {
					case 1: c = v[7 - k][j]; break;
					case 2: c = v[7 - j][7 - k]; break;
					case 3: c = v[k][7 - j]; break;
				}
				cout << c;
			}
			cout << endl;
		}
	}
	return 0;
}