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>

typedef long long ll;
using namespace std;

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	char c[8][8];

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

	cout << 90 << endl;	

	for (int i = 0;i < 8;i++){
		for (int j = 0;j < 8;j++){
			cout << c[7-j][i];
		}
		cout << endl;
	}

	cout << 180 << endl;

	for (int i = 0;i < 8;i++){
		for (int j = 0;j < 8;j++){
			cout << c[7-i][7-j];
		}
		cout << endl;
	}

	cout << 270 << endl;

	for (int i = 0;i < 8;i++){
		for (int j = 0;j < 8;j++){
			cout << c[j][7-i];
		}
		cout << endl;
	}

	return 0;

}