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 <bits/stdc++.h>

using namespace std;

string MapBefore[8], MapAfter[8];

void solve() {
	char tmp[9];

	for (int j = 0; j < 8; j++) {
		for (int i = 0; i < 8; i++) {
			tmp[7-i] = MapBefore[i][j];
		}
		tmp[8] = '\0';
		MapAfter[j] = tmp;
	}
}

int main() {

	for (int i = 0; i < 8; i++) {
		cin >> MapBefore[i];
	}

	for (int i = 1; i < 4; i++) {
		solve();
		cout << 90 * i << endl;
		for (int i = 0; i < 8; i++) {
			cout << MapAfter[i] << endl;
		}
		for (int i = 0; i < 8; i++) {
			MapBefore[i] = MapAfter[i];
		}
	}
	
	return 0;
}