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>
using namespace std;

void rot(char pat[8][8]){
	char pat2[8][8];
	for(int i=0;i<8;++i){
		for(int j=0;j<8;++j){
			int x = j;
			int y = 7-i;
			pat2[x][y] = pat[i][j];
		}
	}
	for(int i=0;i<8;++i){
		for(int j=0;j<8;++j){
			pat[i][j] = pat2[i][j];
		}
	}
}

int main() {
	char pattern[8][8];
	
	for(int i=0;i<8;++i)cin>>pattern[i];
	
	rot(pattern);
	cout<<"90"<<endl;
	for(int i=0;i<8;++i){
		for(int j=0;j<8;++j){
			cout<<pattern[i][j];
		}
		cout<<endl;
	}
	cout<<"180"<<endl;
	rot(pattern);
	for(int i=0;i<8;++i){
		for(int j=0;j<8;++j){
			cout<<pattern[i][j];
		}
		cout<<endl;
	}
	cout<<"270"<<endl;
	rot(pattern);
	for(int i=0;i<8;++i){
		for(int j=0;j<8;++j){
			cout<<pattern[i][j];
		}
		cout<<endl;
	}
	return 0;
}