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>
using namespace std;

string s[8];

void rotate(){
	string t[8];
	for(int i = 0;i < 8;i++) t[i] = s[i];
	for(int i = 0;i < 8;i++){
		for(int j = 0;j < 8;j++){
			t[i][j] = s[7 - j][i];
		}
	}
	for(int i = 0;i < 8;i++) s[i] = t[i];
}

int main(){
	for(int i = 0;i < 8;i++) cin >> s[i];
	for(int i = 1;i <= 3;i++){
		cout << i * 90 << endl;
		rotate();
		for(int j = 0;j < 8;j++){
			cout << s[j] << endl;
		}
	}
	return 0;
}