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>
using namespace std ;

char table[8][8] ;

void f(){
	char tmp[8][8] ;
	for( int y=0 ; y<8 ; y++ ){
		for( int x=0 ; x<8 ; x++ ){
			tmp[y][x] = table[7-x][y] ;
		}
	}
	swap( table , tmp ) ;
}

int main(){
	
	for( int i=0 ; i<8 ; i++ )
		for( int j=0 ; j<8 ; j++ )
			cin >> table[i][j] ;
	
	for( int i=90 ; i<360 ; i+=90 ){
		cout << i << endl ;
		f() ;
		for( int j=0 ; j<8 ; j++ ){
			for( int k=0 ; k<8 ; k++ ) cout << table[j][k] ;
			cout << endl ;
		}
	}
}