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 <cstdio>

using namespace std;

void roll();

char pattern[10][10];
char tmp[10][10];

int main()
{
	for (int i = 0; i < 8; i++){
		scanf("%s", pattern[i]);
	}
	
	for (int j = 0; j < 3; j++){
		roll();
		printf("%d\n", (j + 1) * 90);
		//cout << (j + 1) * 90 << endl;
		for (int i = 0; i < 8; i++){
			printf("%s\n", pattern[i]);
		}
	}
	return (0); 
}

void roll()
{
	for (int i = 0; i < 8; i++){
		for (int j = 0; j < 8; j++){
			tmp[j][7 - i] = pattern[i][j];
		}
	}
	for (int i = 0; i < 8; i++){
		for (int j = 0; j < 8; j++){
			pattern[i][j] = tmp[i][j];
		}
	}
}