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;
char c[8][8];
int main(){
for(int i=0;i<64;i++)cin>>c[i/8][i%8];
cout<<90<<endl;
for(int i=0;i<8;i++){
for(int j=0;j<8;j++){
cout<<c[7-j][i];
}
cout<<endl;
}
cout<<180<<endl;
for(int i=0;i<8;i++){
for(int j=0;j<8;j++){
cout<<c[7-i][7-j];
}
cout<<endl;
}
cout<<270<<endl;
for(int i=0;i<8;i++){
for(int j=0;j<8;j++){
cout<<c[j][7-i];
}
cout<<endl;
}
}