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 <vector>
#include <algorithm>
#include <string>

using namespace std;

void rotate(vector<string> &v){
	vector<string> nv(8,"");
	for(int i = 0; i < 8; i++){
		for(int j = 0; j < 8; j++){
			nv[i]+=v[7-j][i];
		}
	}
	v=nv;
}

int main(){

	vector<string> v;
	for(int i = 0; i < 8; i++){
		string s;
		cin>>s;
		v.push_back(s);
	}
	int sum=0;
	for(int i = 0; i < 3; i++){
		sum+=90;
		rotate(v);
		cout<<sum<<endl;
		for(int i = 0; i < 8; i++)
			cout<<v[i]<<endl;
	}

	return 0;
}