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;
#define rep(i, n) for ( int i = 0; i < n; i++)

int main(){
    char P[8][8], T[8][8];
    rep(i, 8) rep(j, 8) cin >> P[i][j];
    for ( int d = 90; d < 360; d += 90 ){
	cout << d << endl;
	rep(i, 8) rep(j, 8) T[i][j] = P[i][j];
	rep(i, 8) rep(j, 8) P[j][8-i-1] = T[i][j];
	rep(i, 8){
	    rep(j, 8) cout << P[i][j];
	    cout << endl;
	} 
    }
}