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 t[10][10];

void rotate(void){
	char tmp[10][10];
	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++){
			tmp[j][7-i] = t[i][j];
		}
	}

	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++){
			t[i][j] = tmp[i][j];
		}
	}
}

int main(void){
	for(int i=0;i<8;i++){
		cin>>t[i];
	}

	for(int i=1;i<=3;i++){
		rotate();
		cout<<i*90<<endl;
		for(int j=0;j<8;j++){
			cout<<t[j]<<endl;
		}
	}

	return 0;
}