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 <stdio.h>
#include <cmath>
#include <algorithm>
#include <stack>

using namespace std;

int main(){

	char table[8][9];

	for(int i=0; i < 8; i++){
		scanf("%s",table[i]);
	}

	printf("90\n");

	for(int i = 0; i <= 7; i++){
		for(int k=7; k>= 0; k--){
			printf("%c",table[k][i]);
		}
		printf("\n");
	}

	printf("180\n");

	for(int i=7; i >=0; i--){
		for(int k=7; k>=0;k--){
			printf("%c",table[i][k]);
		}
		printf("\n");
	}

	printf("270\n");

	for(int i=7; i >= 0; i--){
		for(int k=0; k <= 7; k++){
			printf("%c",table[k][i]);
		}
		printf("\n");
	}


    return 0;
}