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>
#define _USE_MATH_DEFINES
#include<math.h>
#include<iomanip>
#include<string>
using namespace std;
int main(){
string src[8];
for (int i=0;i<8;i++){
	cin>>src[i];
}

cout<<90<<endl;
for (int i=0;i<8;i++){
	for (int j=0;j<8;j++){
		cout<<src[7-j][i];
	}
	cout<<endl;
}
cout<<180<<endl;
for (int i=0;i<8;i++){
	for (int j=0;j<8;j++){
		cout<<src[7-i][7-j];
	}
	cout<<endl;
}
cout<<270<<endl;
for (int i=0;i<8;i++){
	for (int j=0;j<8;j++){
		cout<<src[j][7-i];
	}
	cout<<endl;
}


}