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 range(i,a,b) for(int i = (a); i < (b); i++)
#define rep(i,b) range(i,0,b)
#define itrep(it, a) for(it = (a).begin(); it != (a).end(); it++)
#define all(a) (a).begin(), (a).end()
#define debug(x) cout << "debug " << x << endl;
#define INF (1 << 30)
using namespace std;

int main(){
    char a[8][8];
    rep(i,8) rep(j,8) cin >> a[i][j];

    cout << 90 << endl;
    rep(i,8){
        for(int j = 7; j >= 0; j--){
            cout << a[j][i];
        }cout << endl;
    }
    cout << 180 << endl;
    for(int i = 7; i >= 0; i--){
        for(int j = 7; j >= 0; j--){
            cout << a[i][j];
        }cout << endl;
    }
    cout << 270 << endl;
    for(int i = 7; i >= 0; i--){
        rep(j,8){
            cout << a[j][i];
        }cout << endl;
    }

}