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>
using namespace std;

char x[10][10];
char y[10][10];

void TheRotate90() {
	for (int j = 0; j < 8; j++) {
		for (int k = 0; k < 8; k++) {
			y[k][7 - j] = x[j][k];
		}
	}
}

int main() {
	for (int i = 0; i < 8; i++) {
		for (int j = 0; j < 8; j++) {
			cin >> x[i][j];
		}
	}
	for (int i = 1; i < 4; i++) {
		cout << i * 90 << endl;
		TheRotate90();
		for (int j = 0; j < 8; j++) {
			for (int k = 0; k < 8; k++) {
				x[j][k] = y[j][k];
				cout << x[j][k];
			}
			cout << endl;
		}
	}
	return 0;
}