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 <algorithm>
using namespace std;
#define N_MAX 8
#define rep(i,n) for(int i=0;i<n;i++)

char p[N_MAX][N_MAX];

void rotate(){
	rep(i,N_MAX)rep(j,i)swap(p[i][j],p[j][i]);
	rep(i,N_MAX)reverse(p[i],p[i]+N_MAX);
	rep(i,N_MAX){
		rep(j,N_MAX)cout <<p[i][j];
		cout << endl;
	}
}

int main(){
	rep(i,N_MAX)rep(j,N_MAX)cin >> p[i][j];
	cout << 90 << endl;
	rotate();
	cout << 180 << endl;
	rotate();
	cout << 270 << endl;
	rotate();
}