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<string>
using namespace std;
char map[8][8],cop[8][8];
int main(){
	for(int i=0;i<8;i++)
		for(int j=0;j<8;j++)
			cin>>cop[i][j];
	for(int u=1;u<=3;u++){
		cout<<u*90<<endl;
		for(int i=0;i<8;i++){
			for(int j=0;j<8;j++){
				map[i][j]=cop[7-j][i];
				cout<<map[i][j];
			}
			cout<<endl;
		}
		for(int i=0;i<8;i++)
			for(int j=0;j<8;j++)
				cop[i][j]=map[i][j];
	}
	return 0;
}