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 <stdio.h>
#include <iostream>
#include <algorithm>
#include <iomanip>
#include <map>
#include <fstream>
#include <sstream>
#include <math.h>
#include <queue>
#include <stack>
#include <math.h>
#include <string.h>


using namespace std;


void rotation_of_Pattern_90(int l, int r, int pattern[100][100], int ans[100][100]){
    for(int i=l; i<r; i++){
        for(int j=l; j<r; j++){
            ans[j][r-i-1]=pattern[i][j];
        }
    }
}


int main(){
    int box[100][100];
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            char temp;
            cin>>temp;
            box[i][j]=(int)temp;
            
        }
    }
    /*
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            cout<<(char)box[i][j];
        }cout<<endl;
    }
     */
    
    cout<<90<<endl;
    int ans[100][100];
    rotation_of_Pattern_90(0, 8, box, ans);
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            cout<<(char)ans[i][j];
        }cout<<endl;
    }
    
    
    cout<<180<<endl;
    int ans2[100][100];
    rotation_of_Pattern_90(0, 8, ans, ans2);
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            cout<<(char)ans2[i][j];
        }cout<<endl;
    }
    
    cout<<270<<endl;
    int ans3[100][100];
    rotation_of_Pattern_90(0, 8, ans2, ans3);
    for(int i=0; i<8; i++){
        for(int j=0; j<8; j++){
            cout<<(char)ans3[i][j];
        }cout<<endl;
    }
    
    
    
}