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 <fstream>
#include <sstream>
#include <iomanip> 
#include <complex> 
#include <string>
#include <vector> 
#include <list>
#include <deque> 
#include <stack> 
#include <queue> 
#include <set>
#include <map>
#include <bitset>
#include <functional>
#include <utility>
#include <algorithm> 
#include <numeric> 
#include <typeinfo> 
#include <cstdio>
#include <cstdlib> 
#include <cstring>
#include <cmath>
#include <climits> 
#include <ctime>
using namespace std;

char str[9][9];
char str2[9][9];
void change(){
	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++){
			str2[i][j]=str[7-j][i];
		}
	}
	for(int i=0;i<8;i++){
		for(int j=0;j<8;j++){
			str[i][j]=str2[i][j];
		}
	}
}

int main(void){
	for(int i=0;i<8;i++){
		cin >> str[i];
	}
	cout << "90" << endl;
	change();
	for(int i=0;i<8;i++){
		cout << str[i] << endl;
	}
	cout << "180" << endl;
	change();
	for(int i=0;i<8;i++){
		cout << str[i] << endl;
	}
	cout << "270" << endl;
	change();
	for(int i=0;i<8;i++){
		cout << str[i] << endl;
	}
    return 0;
}