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 a[8][8];
int rxx[]={ 0,-1, 0};
int ryx[]={ 1, 0,-1};
int rxy[]={-1, 0, 1};
int ryy[]={ 0,-1, 0};
int dx[]={0,7,7};
int dy[]={7,7,0};

int main(){
	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++)cin>>a[i][j];
	}
	for(int i=0;i<3;i++){
		cout<<(i+1)*90<<endl;
		for(int j=0;j<8;j++){
			for(int k=0;k<8;k++)cout<<a[j*ryy[i]+k*rxy[i]+dy[i]][j*ryx[i]+k*rxx[i]+dx[i]];
			cout<<endl;
		}
		
	}
	return 0;
}