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<bits/stdc++.h>
using namespace std;

int main(){
char c[4][8][8];
for(int a=0;a<8;a++){
	for(int b=0;b<8;b++)cin>>c[0][a][b];
}
for(int d=1;d<4;d++){
	for(int e=0;e<8;e++){
		for(int f=0;f<8;f++){
			c[d][e][f]=c[d-1][f][7-e];
		}
	}
}
for(int x=3;x!=0;x--){
	printf("%d\n",(4-x)*90);
	for(int y=0;y<8;y++){
		for(int z=0;z<8;z++)printf("%c",c[x][y][z]);
		puts("");
	}
}
}