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>
#define PB push_back
#define MP make_pair
#define rep(i,n) for (int i=0;i<(n);i++)
using namespace std;
typedef long long ll;
int main(){
    char s[10][10];
    for(int i=0;i<8;i++)cin>>s[i];

    cout<<90<<endl;
    for(int i=0;i<8;i++){
        for(int j=7;j>=0;j--)cout<<s[j][i];
        cout<<endl;
    }


    cout<<180<<endl;
    for(int i=7;i>=0;i--){
        for(int j=7;j>=0;j--)cout<<s[i][j];
        cout<<endl;
    }

    cout<<270<<endl;
    for(int i=7;i>=0;i--){
        for(int j=0;j<8;j++)cout<<s[j][i];
        cout<<endl;
    }
}