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 <vector>
#include <string>
using namespace std;

// 8*8Ìp^[ð90xñ]³¹é
vector<string> rot(vector<string>& m){
	vector<string> m_(8);
	for(int y=0 ; y < 8 ; y++ )
		m_[y] = "********";
	for(int y=0 ; y < 8 ; y++ ){
		for(int x=0 ; x < 8 ; x++ ){
			m_[x][7-y] = m[y][x];
		}
	}
	return m_;
}

// 8*8Ìp^[ðoÍ
void output(const vector<string>& m){
	for(int y=0 ; y < 8 ; y++ )
		cout << m[y] << endl;
}

int main(){
	vector<string> m(8);
	for(int y=0 ; y < 8 ; y++ ){
		cin >> m[y];
	}
	for(int i=1 ; i <= 3 ; i++ ){
		m = rot( m );
		cout << 90*i << endl;
		output( m );
	}
}