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;
#define rep(i,n) for(int i=0;i<n;i++)
char a[8][8],b[8][8];
int main(){
rep(i,8)cin>>a[i];
rep(i,8)rep(j,8)b[j][7-i]=a[i][j];
cout<<"90"<<endl;
rep(i,8){rep(j,8){cout<<b[i][j];}cout<<endl;};

rep(i,8)rep(j,8)b[7-i][7-j]=a[i][j];
cout<<"180"<<endl;
rep(i,8){rep(j,8){cout<<b[i][j];}cout<<endl;};

rep(i,8)rep(j,8)b[7-j][i]=a[i][j];
cout<<"270"<<endl;
rep(i,8){rep(j,8){cout<<b[i][j];}cout<<endl;};

return 0;
}