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>
#include<string>
#include<vector>
#include<algorithm>
#include<utility>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<map>
#include<queue>
#include<set>

using namespace std;
typedef pair<int,int> PII;
typedef long long ll;

int main(){
	vector<string> pattern(8);
  for(int i=0;i<8;i++)
		cin>>pattern[i];
	cout<<90<<endl;
	for(int y=0;y<8;y++){
		for(int x=0;x<8;x++){
			cout<<pattern[7-x][y];
		}
		cout<<endl;
	}
	cout<<180<<endl;
	for(int y=0;y<8;y++){
		for(int x=0;x<8;x++){
			cout<<pattern[7-y][7-x];
		}
		cout<<endl;
	}
	cout<<270<<endl;
	for(int y=0;y<8;y++){
		for(int x=0;x<8;x++){
			cout<<pattern[x][7-y];
		}
		cout<<endl;
	}
  return 0;
}